The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE

The Checker Piece Near The Middle Of The Board Can Move Diagonally In Any Directions Between Shaded Squares.

Answers

Answer 1
I might be wrong but i’m gonna say 3 squares. I’m sorry if it’s the wrong answer I just feel really bad because you really need help :(

Related Questions

What can be interpreted from the scatter plot above

Answers

The thing that can be interpreted from the scatter plot above is A. There is a negative association between number of hours of daily TV viewing and math quiz scores.

How to explain the scatterplot

As per given scatter plot, If the number of hour of daily TV viewing increases then the math quiz scores are decreases.

Hence, the number of hour of daily TV viewing and math quiz scores varies inversely.

Therefore, There is a negative ath association between number of hour of daily TV viewing and math quiz scores

Learn more about scatterplot on

https://brainly.com/question/6592115

#SPJ1

pls help it is due today

Answers

The property that should be used to simplify the expression 1/t⁻³ is [tex]\frac{1}{a^-m}[/tex] = [tex]a^m[/tex] (where a ≠ 0). Option A

How to identify the property to simplify the expression?

In the given scenario or expression, this property implies that 1/t⁻³ = t³. The negative exponent in the denominator becomes a positive exponent when moved to the numerator.

Here is the step-by-step solution

1/t⁻³ = 1/(t⁻³)

1/(t⁻³) = (t⁻³)⁻¹

(t⁻³)⁻¹ = t⁽⁻³⁾ˣ⁽⁻¹⁾

t⁽⁻³⁾ˣ⁽⁻¹⁾ = t³

Therefore, the simplified expression is t³.

Find more exercises on simplifying expression;

https://brainly.com/question/29379241

#SPJ1

The cost of 4 pairs of shorts and 3 sweatshirts is $89. The cost of 9 pairs of shorts and 11 sweatshirts is $247
Enter the cost of one pair of shorts and one sweatshirt

Answers

$11 for one sweatshirt and $14 for a pair of shorts.

Students were asked their favorite ice cream flavor. The results showed that 196 students selected vanilla as their favorite ice cream flavor. This represents 49% of the total number of students surveyed. What was the total number of students surveyed?

I need the answer and explanation!!!

Answers

Answer:

The total number of students surveyed is 400.

Step-by-step explanation:

We want to know that 49% of what number is 196

Let x = the total number of students

.49x = 196        (49% as a decimal is .49)   Divide both sides  by .49

x = 400

Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x)=……..

Answers

Using the mean value theorem in  f(x) = 1/2x² + 7, c =  2√3

What is the mean value theorem?

The mean value theorem states that let f be continuous over the closed interval  [a,b] and differentiable over the open interval  (a,b). Then, there exists at least one point c ∈(a,b) such that f'(c) = [f(b) - f(a)]/(b - a)

To find c using the mean value theoren for f(x) = 1/2x² + 7 over the interval [0, 6], we proceed as follows.

Uisng the mean value theorem, we know that

f'(c) = [f(b) - f(a)]/(b - a)

⇒ f(c) = 1/(b - a)∫ₐᵇ[f(x)

Now over the interval [a, b] = [0,6]

f(c) = 1/(6 - 0)∫₀⁶[f(x)

Now, since f(x) = 1/2x² + 7

Substituting this into the equation, we have that

f(c) = 1/(6 - 0)∫₀⁶[f(x)

f(c) = 1/(6 - 0)∫₀⁶(1/2x² + 7)

f(c) = 1/6∫₀⁶(1/2x² + ∫₀⁶7)

f(c) = 1/6[1/2x³/3 + 7x]₀⁶

f(c) = 1/6[x³/6 + 7x]₀⁶

f(c) = 1/6[6³/6 + 7(6)] - [0³/6 + 7(0)]

f(c) = 1/6[6²+ 42] - [0 + 7(0)]

f(c) = 1/6([36 + 42] - [0 + 0])

f(c) = 1/6(78 - 0)

f(c) = 1/6(78)

f(c) = 13

Now, since f(x) = 1/2x² + 7

f(c) = 1/2c² + 7

1/2c² + 7 = 13

1/2c² = 13 - 7

1/2c² = 6

c² = 2 × 6

c² = 12

c = √12

c = 2√3

Learn more about mean value theorem here:

https://brainly.com/question/30403137

#SPJ1

Un fabricante de bombillas gana 0,60€ por cada bombilla que sale de fábrica pero pierde 0,80€ por cada una que sale defectuosa. Un determinado día en el que fabrico 2.100 bombillas obtuvo un beneficio de 966€. ¿Cuántas bombillas de cada tipo fabricó?

Answers

The manufacturer made 1,890 non-defective light bulbs and 210 defective light bulbs.

How many defective and non-defective light bulbs was made?

Let represent number of non-defective light bulbs with x

Let represent number of defective light bulbs with y.

The profit from selling non-defective light bulbs is €0.60x

The loss from selling defective light bulbs is €0.80y.

Given that the manufacturer made a profit of €966, we can form the equation:

0.60x - 0.80y = 966 ---(1)

The total number of light bulbs produced is 2,100, so we have:

x + y = 2,100 ---(2)

To solve this, we will use method of elimination.

We multiply equation (2) by 0.60.

0.60x + 0.60y = 1,260 ---(3)

Now, subtract equation (3) from equation (1):

0.60x - 0.60x - 0.80y - 0.60y = 966 - 1,260

-1.40y = -294

y = -294 / -1.40

y = 210

Substituting value of y into equation (2):

x + 210 = 2,100

x = 2,100 - 210

x = 1,890.

Translated question:

A light bulb manufacturer earns €0.60 for each bulb that leaves the factory but loses €0.80 for each one that is defective. On a certain day when he manufactured 2,100 light bulbs, he made a profit of €966. How many light bulbs of each type did he make?

Read more about equation

brainly.com/question/22688504

#SPJ1

What is the volume of this figure?

Enter your answer in the box.

ft³
Three-dimensional figure formed by placing two rectangular prisms together to form an L shape where the bottom of the L is on the left and the top of the L extends to the right. The wider part of the L has a width of 3 feet. The other part of the L has a width of 2 feet. The total length of the L is 7 feet, and the length of the narrower part of the L is 6 feet. The height connecting the L shaped bases is 5 feet.

Answers

The volume of the rectangular prism in this problem is given as follows:

99 ft³.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem can be divided into two prisms, with dimensions given as follows:

3 ft, 5 ft and 7 - 6 = 1 ft.6 ft, 2 ft and 7 ft.

Hence the volume of the prism is given as follows:

V = 3 x 5 x 1 + 6 x 2 x 7

V = 99 ft³.

A similar problem about the volume of rectangular prisms is presented at brainly.com/question/22070273

#SPJ1

Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
Α.
99°
B
D
94%
C

Answers

m/ABC=86° (because of the cyclic quadrilaterals). Hence, Option (B) is correct.

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

m/ABC +  m/ADC  = 180°

m/ABC + 94° = 180°

m/ABC = 180° - 94°

m/ABC = 86°

Similarly, one can find m/DCB

m/DAB +  m/DCB  = 180°

99° + m/DCB = 180°

m/DCB = 180° - 99°

m/DCB = 81°

Hence, m/ABC = 86°

Learn more about cyclic quadrilaterals here:

https://brainly.com/question/14352697

#SPJ1

What is the meaning of "possibly some ui are not free, or even do not occur, in ϕ"?

Answers

The phrase "possibly some ui are not free, or even do not occur, in ϕ" refers to a logical formula or expression ϕ that contains variables ui.

Answer to the aforementioned question

When it says "possibly some ui are not free," it means that not all of the variables ui in ϕ are unrestricted or unconstrained. Some of them may have certain conditions or restrictions placed on them within the context of the formula ϕ.

On the other hand, when it says "or even do not occur, in ϕ," it means that some variables ui may not appear at all in the formula ϕ. This implies that those variables are not present or relevant in the expression ϕ and do not play a role in its interpretation or evaluation.

In summary, the phrase indicates that in the formula ϕ, some variables ui may have restrictions or conditions placed on them, while others may not be present or relevant within the context of the formula.

Learn more about variables at https://brainly.com/question/28248724

#SPJ1

MA.7.AR.4.1
Johnny and Eleanor went to their local gas station to collect information about the cost of
fuel for compact cars. They observed both regular and premium gas purchases that day and
recorded their data in the table below.
Gallons Purchased 11.5 7.2
10
14.3 6.8
9.7
Cost
$25.23 $15.80 $21.94 $40.63 $14.92 $27.56
Part A. Is there a proportional relationship between the number of gallons of gas sold and
the cost? Explain your answer.
Part B. If the relationship is not proportional, which data value or values should be
changed to make the relationship proportional? What could explain this
difference?

Answers

a) The fourth and sixth data points have significantly different ratios.

a) Let's calculate the ratios:

For the first data point:

= 11.5 gallons / $25.23 = 0.4555 gallons per dollar

For the second data point:

= 7.2 gallons / $15.80 = 0.4557 gallons per dollar

For the third data point:

= 10 gallons / $21.94 = 0.4556 gallons per dollar

For the fourth data point:

= 14.3 gallons / $40.63 = 0.3519 gallons per dollar

For the fifth data point:

= 6.8 gallons / $14.92 = 0.4555 gallons per dollar

For the sixth data point:

= 9.7 gallons / $27.56 = 0.3517 gallons per dollar

However, the fourth and sixth data points have significantly different ratios.

b) If the relationship is not proportional, the data values that should be changed to make the relationship proportional are the fourth and sixth data points.

The difference in ratios could be explained by factors such as fluctuations in gas prices or differences in gas grades.

To establish a proportional relationship, it would be necessary to collect data where the price per gallon remains constant for all data points or to separate the data based on gas grades and analyze each grade separately.

Learn more about Ratio here:

https://brainly.com/question/31945112

#SPJ2

Urgent!!!

cos4α + 2 Sin² 2α

Answers

Answer:

Step-by-step explanation:

cos4α + 2 Sin² 2α is a trigonometric expression that involves the cosine and sine functions of the angle α. This expression can be simplified using trigonometric identities to get:

cos4α + 2 Sin² 2α = (cos² 2α)² + 2 (Sin 2α)²

This simplification involves using the double angle identity for sine and the identity for the square of cosine.

Brainliest Pls

Answer:1

Step-by-step explanation:

cos(4α) + 2sin²(2α)

First, let's expand cos(4α)

cos(4α) = cos²(2α) - sin²(2α)

Now, let's substitute this expression back into the original equation:

cos(4α) + 2sin²(2α) = (cos²(2α) - sin²(2α)) + 2sin²(2α)

= cos²(2α) + sin²(2α)=1 by

cos²(α) + sin²(α)=1

7. Given right triangle ABC below, determine sin(A).

Answers

The value of Sin A is 5/13.

Option A is the correct answer.

We have,

Sin A = Perpendicular / Hypotenuse

Sin A = BC / AB

And,

BC = 5

AB = 13

Substituting.

Sin A = 5/13

Thus,

The value of Sin A is 5/13.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Please help it’s due today!!!!

Answers

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

How to verify that RSTU is a trapezoid?

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

Read more on isosceles triangle here: brainly.com/question/19238666

#SPJ1

Can someone please answer and provide an explanation for these problems?

Answers

Answer:

details:

54)Write the midpoint formula::

Substitute

into

::

Swap the sides:

Swap the sides:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Calculate the product or quotient:

Rearrange variables to the left side of the equation:

Calculate the sum or difference:

Express solutions in ordered pairs::

(55)Write the midpoint formula::

Substitute

into

::

Swap the sides:

Swap the sides:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Calculate the product or quotient:

Rearrange variables to the left side of the equation:

Calculate the sum or difference:

Express solutions in ordered pairs::

(56)Write the midpoint formula::

Substitute

into

::

Swap the sides:

Swap the sides:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Calculate the product or quotient:

Rearrange variables to the left side of the equation:

Calculate the sum or difference:

Express solutions in ordered pairs::

(57)Write the midpoint formula::

Substitute

into

::

Swap the sides:

Swap the sides:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Multiply both sides of the equation by the common denominator:

Reduce the fractions:

Calculate the product or quotient:

Rearrange variables to the left side of the equation:

Calculate the sum or difference:

Express solutions in ordered pairs::

2/5 of Jim's savings is equal to 4/9 of Max's savings. Jim has $30 more than Max. 5 How much money does Max have?​

Answers

As Jim has $30 more than Max, as per this, Max has $270.

Let's assume Max's savings as 'x' dollars.

We have:

2/5 of Jim's savings is equal to 4/9 of Max's savings.

(2/5) * Jim's savings = (4/9) * Max's savings

We also know that Jim has $30 more than Max.

Jim's savings = Max's savings + $30

So,

(2/5) * Jim's savings = (4/9) * Max's savings

(2/5) * (Max's savings + $30) = (4/9) * Max's savings

To solve for Max's savings, we can solve this equation:

(2/5) * (x + $30) = (4/9) * x

So, for x:

(2/5) * (x + $30) = (4/9) * x

Multiplying both sides by 45 (the least common denominator of 5 and 9) to eliminate the fractions:

18(x + $30) = 20x

18x + 540 = 20x

540 = 20x - 18x

540 = 2x

x = 270

Therefore, Max has $270.

For more details regarding savings, visit:

https://brainly.com/question/7965246

#SPJ1

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

The correct answer:

(A) WZ/WX = XW/YW

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The angle that is not a solution to the trigonometric equation sin(2θ) = 1 is given as follows:

a) 90º.

How to solve the trigonometric equation?

The trigonometric equation in the context of this problem is defined as follows:

sin(2θ) = 1

The sine assumes a value of 1 at:

90º.

Hence the solution is obtained as follows:

2θ = 90º.

θ = 45º.

The equivalent angle to 45º on the third quadrant is given as follows:

180º + 45º = 225º.225 - 360 = -135º.

Hence 225º and -135º are also solutions to the trigonometric equation.

More can be learned about trigonometric equations at https://brainly.com/question/7331447

#SPJ1

9*
Giovanni needs to hire a handyman to paint his house. Charles will charge him
$115 up front and $30 per hour. Peter will charge $40 per hour with an $80 flat fee
for paint. After how many hours will the two men charge the same amount to
complete the job?

Answers

The two men will charge the same amount to complete the job after 3.5 hours.

How to determine After how many hours will the two men charge the same amount to complete the job?

Let's start with Charles' fee, which is a combination of an upfront fee and an hourly fee. We can represent this as:

C(x) = 115 + 30x

where x is the number of hours Charles works.

For Peter, his fee is a combination of an upfront fee for paint and an hourly fee. We can represent this as:

P(x) = 80 + 40x

where x is the number of hours Peter works.

To find out when the two men will charge the same amount to complete the job, we need to set the two equations equal to each other and solve for x:

115 + 30x = 80 + 40x

Subtracting 30x from both sides: 115 = 80 + 10x

Subtracting 80 from both sides: 35 = 10x

Dividing both sides by 10:

x = 3.5

So, the two men will charge the same amount to complete the job after 3.5 hours.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

estimate the original volume of the pyramid in fig 15.28 given that it's frustum has a 4 m by 4 m squared top which is 12 m vertically above the square base which is 20 m by 20 m (assume that the original problem was raised to a point . Neglect the volume of the entrance of the right of the photograph)​

Answers

Answer:

Step-by-step explanation:

To estimate the original volume of the pyramid, we can use the formula for the volume of a frustum of a pyramid:

V = (1/3)h(a^2 + ab + b^2)

Where V is the volume, h is the height of the frustum, a is the side length of the top square, and b is the side length of the bottom square.

In this case, the top square has a side length of 4 m, and the bottom square has a side length of 20 m. The height of the frustum is 12 m.

Plugging these values into the formula, we get:

V = (1/3) * 12 * (4^2 + 4*20 + 20^2)

Simplifying the equation:

V = (1/3) * 12 * (16 + 80 + 400)

V = (1/3) * 12 * 496

V = 12 * 496/3

V = 1984

Therefore, the estimated original volume of the pyramid is 1984 cubic meters.

A young artist went to an art shop to buy a canvas. There were many sizes from which to choose. Some were standard sizes and some were custom-made. She wanted her next piece to incorporate the Golden Ratio, so she decided to buy the canvas whose dimensions most closely matched the Golden Rectangle. Here are the sizes that were available:
24" x 36"
24" x 40"
10" x 16"
26" x 16"
20" x 12"
Which canvas should the artist buy? Show your work.

Answers

The artist should buy the canvas with dimensions 26" x 16" as it most closely matches the Golden Rectangle.

To determine which canvas size most closely matches the Golden Rectangle, we need to calculate the aspect ratios of the available options and compare them to the Golden Ratio.

The Golden Ratio is approximately 1.618. A rectangle is considered to be a Golden Rectangle if its aspect ratio (width divided by height) is equal to the Golden Ratio.

Let's calculate the aspect ratios for each canvas size:

Canvas 1: 24" x 36"

Aspect ratio = 24 / 36 = 0.67

Canvas 2: 24" x 40"

Aspect ratio = 24 / 40 = 0.6

Canvas 3: 10" x 16"

Aspect ratio = 10 / 16 = 0.625

Canvas 4: 26" x 16"

Aspect ratio = 26 / 16 = 1.625

Canvas 5: 20" x 12"

Aspect ratio = 20 / 12 = 1.667

Now, let's compare the aspect ratios of the available options with the Golden Ratio (1.618) to see which one is closest:

Canvas 1: |0.67 - 1.618| = 0.948

Canvas 2: |0.6 - 1.618| = 1.018

Canvas 3: |0.625 - 1.618| = 0.993

Canvas 4: |1.625 - 1.618| = 0.007

Canvas 5: |1.667 - 1.618| = 0.049

The canvas with the aspect ratio closest to the Golden Ratio is Canvas 4: 26" x 16". Its aspect ratio of 1.625 is only 0.007 away from the Golden Ratio.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ1

Which expression is equivalent to 8.8x10^9/2.2x10^-3?

A 4 x 10^12
B 4 x 10^6
C 4 x 10^-3
D 4 x 10^-6

Answers

the choice A is the answer

A cyclist covers 5/7 of his route and an additional 40 minutes. He has yet to cover 118 miles less than 0.75 of his route. How long is his route?

Answers

The distance that describes how long his route was is: 168 miles.

How to determine the length of the route

To determine how long the route was, we need to first represent the entire unknown distance covered by this individual with s.

5/7 s + 40 minutes + (0.75s - 118) = s

5/7s + 75/100s + 40 - 118 = s

5/7s + 75/100s - 78 = s

5/7s + 75/100s - s = 78

325s = 54600

s = 168 miles.

So, the entire distance covered by the cyclist is 168 miles.

Learn more about distance calculation here:

https://brainly.com/question/26046491

#SPJ1

The distance that describes how long his route was is: 168 miles.

How to determine the length of the route.

To determine how long the route was, we need to first represent the entire unknown distance covered by this individual with s.

5/7 s + 40 minutes + (0.75s - 118) = s

5/7s + 75/100s + 40 - 118 = s

5/7s + 75/100s - 78 = s

5/7s + 75/100s - s = 78

325s = 54600

s = 168 miles.

So, the entire distance covered by the cyclist is 168 miles.

for similar questions on distance calculation.

brainly.com/question/26046491

#SPJ11

Plssssss helllllp meeee 50.point and will mark Brainlyiest Solve: 4!
A.16
B.6
C.24
D.4

Answers

Answer:

C

Step-by-step explanation:

the expression ! ( factorial ) has the following meaning

n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

Then

4! = 4 × 3 × 2 × 1 = 24

Evaluate the following statement.

( - 179 – 78 ) + 41 - ( - 165 )

Answers

The answer is:

( - 179 – 78 ) + 41 - ( - 165 )

=-51

Answer:

(-257) +41+165

-257+206

-51

2/3x - 1/5x = x - 1
solve pls

Answers

The answer to your problem is breaking down the problem and from moving the fraction into simple decimals

A Park is shaped like a trapezoid. It has an area of 7.2 mi.² one piece is 1.2 miles on the other bases 2.4 miles long. What is the height of the trapezoid

Answers

(Can't delete my answer)

LIGHT The length of the shadow S given by a tower
that is 100 meters high is S = 100/tan θ, where θ
is the angle of inclination of the sun. If the
angle of inclination is 45°, find the length of the shadow.
a. 162 m
b. 62 m
c. 100 m
d. 84 m

Answers

Answer:

  c.  100 m

Step-by-step explanation:

You want the length of the shadow of a 100 m tower if the angle of inclination of the sun is 45°.

Isosceles right triangle

The tower and its shadow are modeled as legs of a right triangle. When the acute angle in such a triangle is 45°, the triangle is isosceles and the legs are the same length.

The shadow is the same length as the height of the tower: 100 m.

__

Additional comment

You can check this by using the formula:

  S = 100/tan(45°) = 100/1 = 100

<95141404393>

Cody works at a vehicle rental company. The vehicles available to rent are listed in the table.



What is the ratio of seats to engine cylinders in the truck?

Answers

The Ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent is approximately 0.625.

The ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent can be calculated by dividing the number of seats by the number of engine cylinders. In this case, the Ford F-150 has a seating capacity of 5 passengers and a V8 engine configuration.

To calculate the ratio, we divide the number of seats (5) by the number of engine cylinders (8):

Ratio of seats to engine cylinders = Number of seats / Number of engine cylinders

Ratio of seats to engine cylinders = 5 / 8

Simplifying the ratio, we get:

Ratio of seats to engine cylinders = 0.625

Therefore, the ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent is approximately 0.625.

To know more about Ratio .

https://brainly.com/question/12024093

#SPJ8

Note the full question may be :

Cody works at a vehicle rental company. The vehicles available to rent are listed in the table below:

Vehicle Type  |  Seats  |  Engine Cylinders

----------------------------------------------

Car           |    5    |         4

SUV           |    7    |         6

Truck         |    3    |         8

What is the ratio of seats to engine cylinders in the truck?

A. 1:3

B. 3:8

C. 8:3

D. 3:1

Choose the correct option that represents the ratio of seats to engine cylinders in the truck.

Let's say you (a 16-year old) open a savings account with an interest rate of 6% per year and you
aren't adding any additional funds in the future. If you make $80,000 within the year you turn 60, what
is the total amount in your account at 60 years old?

Answers

The total amount in the account when turning 60 years is A = $ 11,13,706.08

Given data ,

A savings account with an interest rate of 6% per year and you aren't adding any additional funds in the future

Now , you make $80,000 within the year you turn 60

So , the number of years = 60 - 16 = 44 years

And , from the compound interest , we get

A = P ( 1 + r/n )ⁿᵇ

On simplifying , we get

Where A is the final amount, P is the initial amount (which is 0 in this case), r is the annual interest rate (6% or 0.06), n is the number of times the interest is compounded per year (let's assume it is compounded monthly, so n=12), t is the time in years (44 years from age 16 to age 60).

A = 80,000 ( 1 + 0.06/12 )¹²ˣ⁴⁴

A = $ 11,13,706.08

Hence , the amount in account is A = $ 11,13,706.08

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ1

Find the y-intercept of the line 12x - 18y = -24.

Answers

Answer:

Therefore, the y-intercept of the line is (0, 4/3).

Step-by-step explanation:

To find the y-intercept of the line 12x - 18y = -24, we need to set x = 0 and solve for y.

12(0) - 18y = -24

Simplifying, we get:

-18y = -24

Dividing both sides by -18:

y = 4/3

Therefore, the y-intercept of the line is (0, 4/3).

Other Questions
which medical condition may induce depression secondary to excessive secretion of acth? Allocating overhead cost to accomplish smoothing LO 12-2 Fanning Corporation expects to incur indirect overhead costs of $78,325 per month and direct manufacturing costs of $19 per unit. The expected production activity for the first four months of the year are as follows. January February March April Estimated production in units 4,700 8,800 3,800 6,800 Required Calculate a predetermined overhead rate based on the number of units of product expected to be made during the first four months of the year. Allocate overhead costs to each month using the overhead rate computed in Requirement a. Calculate the total cost per unit for each month using the overhead allocated in Requirement b. Allocate overhead costs to each month using the overhead rate computed in Requirement a. Month Allocated Cost January February March April Total Calculate the total cost per unit for each month using the overhead allocated in Requirement b. Month January February March April Number of units 4,700 8,800 3,800 6,800 Expected cost Overhead Direct costs Total cost Cost per unit Which of the following perceived barriers to divorce actually distinguishes couples who divorce from those who do not?A) Religious normsB) Fear of financial ruinC) Threat of losing one's childrenD) Worry that children will suffer You exert a force of a known magnitude F on a grocery cart of total mass m. The force you exert on the cart points at an angle below the horizontal. If the cart starts at rest, determine an expression for the speed of the cart after it travels a distance d. Ignore friction. Consider the thin plate shown in the sketch . Suppose that a = 170 mm, b = 450 mm, r = 50 mm. The material has a mass per unit area of 20 kg/m2.Determine the mass moment of inertia of the thin plate about an axis perpendicular to the page and passing through point O.a) 0.785 kg-m2b) 0.738 kg-m2c) 0.0273 kg-m2d) 1.20 kg-m2 people should be careful not to damage the electronic air sensor in their car.A. Conjunction B. DisjunctionC. ConditionalD. NegationE. Simple StatementF. None of the above The table shows Jerry's total utility from burgers and magazines. The price of a burger is $2, the price of a magazine is $4, and Jerry has $12 a week to spend. Burgers Magazines QuantityTot Quantity Total per weekutilityper week utility When Jerry maximizes his total utility, what quantities of burgers and magazines does he buy in a week? 28 48 64 76 200 240 268 Jerry maximizes his total utility when he buys burgers andmagazines a week. State Street Beverage Company issues $802,000 of 11%, 10-year bonds on Ma rch 31, 2017. The bonds pay interest on March 31 and September 30. Which of the following statements is true? A. If the market rate of interest is 12%, the bonds will issue above par B. If the market rate of interest is 12%, the bonds will issue at a premium. C. If the market rate of interest is 12%, the bonds will issue at pa. D. If the market rate of interest is 12%, the bonds will issue at a discount among the following, which is not known to represent a significant risk factor for a pregnancy being affected by a neural tube defect? social scientists generally agree that there are four components to the phenomena we label as ""feelings."" they are Which of the following are more likely to use subjective selection criteria to choose among competing computer products?Small organizations actual authority is the authority that the third party may reasonably assume that the agent possesses A(n) ______ matrix displays a model's correct and incorrect classification. a. decile-wise lift chart. b. cumulative lift. c. ROC curve. d. confusion. Determine whether the following statements are true or false:A. In the Keynesian Cross model, the slope of the planned expenditure line is the marginal propensity to consume.B. Joseph Schumpeter said that progress occurs through the process of saving and investment.C. According to the Solow model, an increase in the rate of population growth will reduce the output per worker.D. An increase in the interest rate will shift the IS curve to the left. Sales is in Units of $1000.00 and Advertising is in Units of $100. What does the value of sales INCREASE in dollars when we increased advertising by one UNIT? The equation is: Y=45.9+11,798.00X. Answer format: Number: Round to: 0 decimal places. Determine the molar solubility of mg(oh)2 in a solution buffered at a ph of 4.5. Evaluate the following integral using complex exponentials and write the result in complex exponential form. do not include the arbitrary constant. e^7x cos (x) dx a nurse is performing a head-to-toe assessment and is preparing to examine the client's ears. which equipment would the nurse need to have readily available? The polyvinyl chloride bar is subjected to an axial force of 900 lb. The angle decreases by = 0.01 after the load is applied. Epvc = 800(103) psi. (Figure 1) Part A If the bar has the original dimensions shown determine the value of Poisson's ratio. Express your answer using three significant figures. Which 3ways ways in which Soweto protestors harmed their community in their attempt to be public participants