UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING

Answers

Answer 1

The actual length of the bus is given as follows:

45 feet.

How to obtain the actual length of the bus?

The actual length of the bus is obtained applying the proportions in the context of the problem.

The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:

5/0.5 = 10 feet.

The length of the drawing is given as follows:

4.5 inches.

Hence the actual length of the bus is given as follows:

4.5 x 10 = 45 feet.

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Related Questions

Four points are plotted on the number line. Which point best represents 33 1/3% of the distance between zero and one

Answers

The point Y best represents 33 1/3% of the distance between zero and one.

We know that if the mixed fraction a b/c can expressed as improper fraction in below way:

a b/c = (a*c + b)/c

Here the given the mixed fraction is = 33 1/3 = (33*3 + 1)/3 = 100/3

The distance between the point 0 and 1 is given by = 1 - 0 = 1

So the required percentage of the distance = 1*(33 1/3%) = 1*(100/3 %) = 100/(3*100) = 1/3.

From the number line given we can see that the distance between 0 and 1 is divided in to 12 equal parts.

So, 33 1/3% stands at = 12*(1/3) = 4 th parts that is point Y.

Hence the point Y best represents 33 1/3% of the distance between zero and one.

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The question is incomplete. The complete question will be -

Consider a sample with six observations of 16, 11, 13, 22, 15, and 19. Compute the z-score for each observation.

Answers

The z-scores for the observations 16, 11, 13, 22, 15, and 19 are approximately 0, -1.37, -0.82, 1.64, -0.27, and 0.82, respectively.

To compute the z-scores for each observation in the sample, we need to first calculate the mean and standard deviation of the data set.

Given the sample with observations: 16, 11, 13, 22, 15, and 19.

Calculate the mean (μ):

Add up all the observations and divide by the total number of observations.

Mean (μ) = (16 + 11 + 13 + 22 + 15 + 19) / 6 = 96 / 6 = 16.

Calculate the standard deviation (σ):

Subtract the mean from each observation.

Deviation = Observation - Mean

Square each deviation.

Squared Deviation = Deviation²

Calculate the average of the squared deviations.

Average Squared Deviation = (Squared Deviation1 + Squared Deviation2 + ... + Squared Deviation6) / 6

Take the square root of the average squared deviation.

Standard Deviation (σ) = √(Average Squared Deviation)

Let's calculate each step:

Deviation1 = 16 - 16 = 0

Deviation2 = 11 - 16 = -5

Deviation3 = 13 - 16 = -3

Deviation4 = 22 - 16 = 6

Deviation5 = 15 - 16 = -1

Deviation6 = 19 - 16 = 3

Squared Deviation1 = 0² = 0

Squared Deviation2 = (-5)² = 25

Squared Deviation3 = (-3)² = 9

Squared Deviation4 = 6² = 36

Squared Deviation5 = (-1)² = 1

Squared Deviation6 = 3² = 9

Average Squared Deviation = (0 + 25 + 9 + 36 + 1 + 9) / 6 = 80 / 6 = 13.33

Standard Deviation (σ) = √13.33 ≈ 3.65

Now that we have the mean (μ = 16) and standard deviation (σ ≈ 3.65), we can calculate the z-score for each observation.

The z-score (Z) for an observation (X) is calculated using the formula:

Z = (X - μ) / σ

Let's calculate the z-scores for each observation:

Z1 = (16 - 16) / 3.65 = 0 / 3.65 = 0

Z2 = (11 - 16) / 3.65 = -5 / 3.65 ≈ -1.37

Z3 = (13 - 16) / 3.65 = -3 / 3.65 ≈ -0.82

Z4 = (22 - 16) / 3.65 = 6 / 3.65 ≈ 1.64

Z5 = (15 - 16) / 3.65 = -1 / 3.65 ≈ -0.27

Z6 = (19 - 16) / 3.65 = 3 / 3.65 ≈ 0.82

So, the z-scores for the observations 16, 11, 13, 22, 15, and 19 are approximately 0, -1.37, -0.82, 1.64, -0.27, and 0.82, respectively.

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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.

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Please help answer theses questions

Answers

Answer:

Question 6 :  True

Question 7:  False

Step-by-step explanation:

To find g(f(x)) given f(x) and g(x), substitute the expression for f(x) for every x in g(x)

f(x) = 2x

g(x) = x²

g(f(x) = (2x)² = 4x²

So True

f(x) = x² + x

g(x) = 2x + 1

g(f(x)) = 2(x² + x) + 1 = 2x² + 2x + 1

So False

on a map, 1 inch equals 8.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?

The distance between the cities is ? miles

Answers

Answer:

the distance between the cities is 21.75 miles.

Step-by-step explanation:

1 inch = 8.7 miles.

2.5 inches x 8.7 miles/inch = 21.75 miles

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°

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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.

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mathmatically indication example with solution

Answers

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

How to solve the equation ?

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

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Percy's Desserts made a batch of fresh scones with 5/8 of a pound of butter and 1/2 of a
pound of sugar. How much more butter than sugar was used?
Write your answer as a fraction or as a whole or mixed number.
pounds

Answers

Answer:

Step-by-step explanation:

To find the difference between the amount of butter and sugar used, we need to subtract the weight of sugar from the weight of butter.

The weight of butter used is 5/8 pounds, and the weight of sugar used is 1/2 pounds. To subtract these fractions, we need to find a common denominator.

The common denominator for 8 and 2 is 8, so we can rewrite the fractions as follows:

5/8 pounds of butter

4/8 pounds of sugar

Now we can subtract the weight of sugar from the weight of butter:

5/8 - 4/8 = 1/8

Therefore, Percy's Desserts used 1/8 pound more butter than sugar.

Answer: Percy's Desserts used 1/8 pounds more butter than sugar in their batch of fresh scones.

Step-by-step explanation:

1. Identify the quantities of butter and sugar used: Percy's Desserts used 5/8 of a pound of butter and 1/2 of a pound of sugar.

2. Convert the quantities to a common denominator: To compare these quantities, we need to express them with a common denominator. The least common denominator of 8 and 2 is 8. So, we express 1/2 as 4/8.

3. Subtract the quantity of sugar from the quantity of butter: Now that both quantities are expressed in eighths of a pound, we can subtract them: 5/8 - 4/8 = 1/8.

4. Convert the result back to a decimal: 1/8 of a pound is equivalent to 0.125 pounds.

So, Percy's Desserts used 0.125 pounds more butter than sugar in their batch of fresh scones.

Please solve this question

Answers

Answer:

A.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

id

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.

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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>

HELP ASAP PHOTO INCLUDED

Answers

I cannot solve that problem at the moment.

Step-by-step explanation:

But I will help you in the future

Consider the following symbolic logic statement: ¬ (∃x)(P(x) ∧ Q(x)) ∧ (∀y)(R(y) → P(y))
a) Translate the statement into English using proper syntax and semantics.
b) Identify and explain any potential ambiguities in the translated statement.
c) Rewrite the statement in a way that eliminates any ambiguities and maintains the original meaning.

Answers

(a). The statement can be translated into English as follows "Not exists x such that P(x) and Q(x), and for all y, if R(y) then P(y)." (b) The rewritten statement explicitly places the negation symbol "¬" only in front of the existential quantifier (∃x).  (c). This clarifies that the negation applies to the existence of x such that P(x) and Q(x).

a) Translation into English:

The statement can be translated into English as follows:

"Not exists x such that P(x) and Q(x), and for all y, if R(y) then P(y)."

b) Potential ambiguities in the translated statement:

Ambiguity in the scope of negation: The placement of the negation symbol "¬" might lead to ambiguity. It is not clear whether the negation applies only to the existential quantifier (∃x) or to the entire statement. Specifically, it is unclear if the negation applies to both conjuncts separately or to their conjunction as a whole.

Ambiguity in the scope of quantifiers: The scope of the quantifiers (∃x) and (∀y) is not explicitly defined. It is unclear which variables the quantifiers bind to and how they relate to the predicates P(x), Q(x), R(y), and P(y).

c) Rewritten statement to eliminate ambiguities while maintaining the original meaning:

To eliminate the ambiguities, we can rewrite the statement as follows:

(¬∃x)(P(x) ∧ Q(x)) ∧ (∀y)(R(y) → P(y))

The rewritten statement explicitly places the negation symbol "¬" only in front of the existential quantifier (∃x). This clarifies that the negation applies to the existence of x such that P(x) and Q(x). Additionally, parentheses are used to explicitly define the scope of the quantifiers (∃x) and (∀y), making it clear which variables they bind to.

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here is my algebra 13 homework screenshot. can someone please help me quick!!

Answers

The slope of the graph f(x) = (1/3)x + 4 is less than the slope of g(x) = 4x-1

f(x) = 1/3 x + 4

g(x) = 4x - 1

The equation of line is given by y = mx +c

On comparing both equation with y = mx + c

m is the slope of the line and c is the intercept of the equation

Let the slope of f(x) is m₁

In f(x) =1/3 x + 4

m₁ = 1/3 = 0.33

Let the slope of g(x) is m₂

In g(x)  = 4x - 1

m₂ = 4

m₁ < m₂

slope of f(x) is less than slope of g(x)

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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

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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.

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).

Given circle E with diameter CD and radius EA. AB is tangent to E at A. If AB=34 and EB=38, solve for EA. Round to the nearest tenth if necessary

Answers

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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100 Points! Geometry question. Photo attached. Determine whether the quadrilateral is a parallelogram. Justify your answer using a theorem. Please show as much work as possible. Thank you!

Answers

The prove of the statement is described below.

First of all ,

Labeling the given figure

And draw  a diagonal,

In the quadrilateral PQRS,

The side PQ is equal to the side RS.

Therefore,

PQ = RS

And also, the side PQ is parallel to the side RS.

Then,

PQ || RS.

Now, draw the diagonal PR.

We know that a parallelogram's diagonal divides the parallelogram into two congruent triangles.

By the rule of  Side-Angle-Side,

we can show that ∆ PQR ≅ ∆ RSP.

Therefore,

The side QR is parallel to PS

Then,

QR || PS.

Hence,

PQRS is a parallelogram.

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The sin(n/4)equals ?

A. 0.0137
B. 0.7071

Answers

The value of function sin (π/4) is,

⇒ sin π/4 =  0.7071

We have to given that;

The expression is,

⇒ sin π/4

Now, We can simplify the expression as;

⇒ sin π/4

⇒ 1 / √2

⇒ 1 / 1.414

⇒ 0.7071

Thus, The value of function sin (π/4) is,

⇒ sin π/4 =  0.7071

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

Answers

(17) The length of the arc is 39.27 in

(18) The length of the arc is 70.7 cm

(19) The area of the sector is 395.84 in²

(20) The area of the sector is 38.5 cm².

What is the area of the sector?

The area of each of the sector is calculated by using the following formula;

Area = πr² (θ/360)

Where;

r is the radiusθ is the angle subtended by the sector

The formula for length of arc is given as;

length of arc = 2πr (θ/360)

(17) The length of the arc is calculated as;

L = 2π (10 in) (225/360)

L = 39.27 in

(18) The length of the arc is calculated as;

L = 2π (15 cm) (270/360)

L = 70.7 cm

(19) The area of the sector is calculated as;

A = π(12)² (315/360)

A = 395.84 in²

(20) The area of the sector is calculated as;

A = π(7)² (90/360)

A = 38.5 cm²

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

Answers

Answer:

The correct answer:

(A) WZ/WX = XW/YW

According to the table below, What is the domain of the data

Answers

Answer:

Domain: {15, 17, 19, 21, 23}

Step-by-step explanation:

The domain describes the x-values within a function.

Inputs

In a function, the inputs are the values that are plugged into a function, and the outputs are the resulting values. This means that the inputs represent the x-values and the outputs are the y-values. Since this is a function, each of the inputs has one output. So, each input is unique. We can use the input values to find the domain.

Domain

The domain of a data set is the x-values. Each x-value is one part of the domain. The domain is written as a list of values in numerical order with braces surrounding the values. Since the inputs represent the x-values, we can use the input values as the domain values. This means that the domain of the data is {15, 17, 19, 21, 23}.

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.

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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.

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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.

[tex]f(x)=\frac{x-3}{x+7}[/tex] find the domain

Answers

The domain of the function f(x) is all real numbers except x = -7. In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

To find the domain of the function f(x) = (x - 3)/(x + 7), we need to determine the values of x for which the function is defined.

The function is defined for all values of x except those that make the denominator, x + 7, equal to zero.

Division by zero is undefined in mathematics.

So, we set the denominator equal to zero and solve for x:

x + 7 = 0

x = -7

Hence, the only value that makes the denominator zero is x = -7. Therefore, the domain of the function f(x) is all real numbers except x = -7.

In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

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Evaluate the following statement.

( - 179 – 78 ) + 41 - ( - 165 )

Answers

The answer is:

( - 179 – 78 ) + 41 - ( - 165 )

=-51

Answer:

(-257) +41+165

-257+206

-51

Need help Which of the following is not an expression?
• A. 3x+4 = 7
O B. x+8
ㅇ G0-품
O D. 2x -

Answers

The answer is A, because it includes an equals sign and a statement of equality.

A. 3x + 4 = 7 is not an expression, but an equation because it includes an equals sign and a statement of equality.

B, C, and D are all expressions. Expression refers to a mathematical phrase that can include numbers, variables, and mathematical operations, but does not contain an equals sign or a statement of equality.

B. x + 8 is a simple expression that includes a variable and a constant.

C. 6 - x/5 is also an expression that involves a constant and a variable, and uses a division operation.

D. 2x-3 is another expression that includes a variable and a constant, and uses a subtraction operation.

Therefore, the answer is A, since it is not an expression.

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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

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