What does 69 divided by 310.5 equal in decimal form?

The actual length of the modeled truck is 20.4 feet.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A model diagram of a truck and each gridline represent 1 cm distance.

Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.

Also given that 1 cm is equal to 1.7 feet.

Therefore, The actual length of the truck is (1.7×12) feet.

= 20.4 feet.

So, the length of the truck is 20.4 feet.

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Answer:

Corresponding Parts of Congruent Triangles are Congruent.

ASA

Step-by-step explanation:

We know that <YPC and angle <YPX are congruent angles.  They are both 90°.

Side YP is congruent to YP, so these sides are congruent in both triangles.

<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.

ASA (Angle, Side, Angle)

Answer:

19. Add

Step-by-step explanation:

10 - 7 =

13 - 10 =

16 - 13 =

16 + 3 =

Answer:

18 more students preferred pepperoni pizza over cheese pizza in the survey.

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten

[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27   I cross canceled the 8 and 72.  They have a common factor of 8.  8 goes into 8 once and 8 goes into 72 9 times.

27 students preferred pepperoni pizza.

[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9

9 students preferred cheese pizza.

27 - 9 = 18

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

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Answer:

It is 6.4*10^-2.

this is your answer

The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:

A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

A linear function represents a proportional relationship if it has an intercept of zero.

For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:

m = 2/1 = 2.

Hence:

y = 2x + b.

When x = 2, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

As the intercept is different of zero, this is not a proportional relationship, and option A is correct.

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Answer:

9 months

Step-by-step explanation:

1 quarter is 3 months

3 quarters is 3 times 1 quarter, so it is 3 times 3 months.

3 x 3 months = 9 months

Answer: 9 months

Answer:

The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.

The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.

The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.

Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

The velocity of the train is given as follows:

900 m / min.

To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:

v = d/t.

In which the parameters are given as follows:

The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:

200/0.25 = 800 m / min.

(the difference in velocity is the distance covered divided by the time).

As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:

800 + 100 = 900 m / min.

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The complete statement about the product of the polynomials is that:

The product of f(x) and g(x) is always a polynomial because the coefficients are real numbers and the exponents are whole numbers. Real numbers and whole numbers are closed under addition

From the question, we have the following parameters that can be used in our computation:

Polynomials f(x) and g(x)

When these polynomials are multiplied;

We get another polynomial

This is because, when you multiply two polynomials you get a sum of monomials.

A sum of monomials is always a polynomial

The sum of monomials stated above implies that the whole exponents and the real coefficients are closed under addition

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Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

On solving the provided question, we can say that - the value the exponent [tex]10^n\\[/tex] will be 100000

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

from the given exponents we have

[tex]10^n[/tex]

where n = 5

so [tex]10^5 = 100000[/tex]

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The total cost of the 74 shirts will be;

⇒ $432

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Now,

Since, The equation is,

⇒ y = 5x + 62

Where, x represents the number of t-shirts sold.

Hence, For 74 shirts, the cost is fund by substitute x = 74 in above equation,

⇒ y = 5x + 62

⇒ y = 5 × 74 + 62

⇒ y = $432

Thus, The total cost of the 74 shirts = $432

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Answer:

Step-by-step explanation:

[tex]\sf 37-\cfrac{48}{8}[/tex]

Divide numbers ( 48/8 = 6)

Subtract numbers:-

31 is your answer!

___________________

Hope this helps!

Have a great day!

The two congruent segments in the figure are LJ and LI.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.

Congruency means the shape and the size of the segments will be equal to each other.

Hence, the two congruent segments in the figure are LJ and LI.

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[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]

[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]

[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]

[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]

[tex]\sf y = \frac{\red {x}+16}{4} [/tex]

[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]

[tex]\sf 4y = \red {x}+16[/tex]

[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]

[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]

[tex]\sf 4y-16= \red x[/tex]

[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]

_____________________....

[tex] \pmb{\color{purple}{LearningLifell}}[/tex]

Answer:

  14

Step-by-step explanation:

You want to know the size of the universal set if ...

The given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:

  n(u) = 3 + 4 + 7

  n(u) = 14

__

Additional comment

  (r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3

  (r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11

Then r' ∪ r = u, the universal set.  . . . . n(u) = 3 +11 = 14

Molly has to walk for 16/x minutes where x is the speed of molly.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river

Then we have x=16/t

                        t=16/x

Hence, Molly has to walk for 16/x minutes where x is the speed of molly.

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The radius of the circle with a circumference of 24π is 12 inches.

An equation shows how two or more numbers and variables are related to each other.

The circumference of a circle is the measure of the arc of the circle. It is given by:

Circumference (C) = 2π * radius

Given that the circumference is 24π, hence:

24π = 2π(radius)

Radius = 12 inches

The radius of the circle is 12 inches.

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Answer:

3/4

Step-by-step explanation:

4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.

This turns the equation into 2/4 + 1/4, giving you a common denominator.

Answer:

Both B & C answers are correct

Step-by-step explanation:

To solve these two fractions, 1st you have to make both the numerator and the denominator the same.

For that, you can multiply both the numerator and the denominator of 1/4 by 2.

[tex]\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}[/tex]

To write the fraction in its simplest form, divide both sides by 2.

[tex]\sf\frac{3}{4}[/tex]

Answer:

Each book cost 222 - 15 = 207 / 9 = 22.88 dollars.

The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years

To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :

= ( Purchase price of boat - Resale value ) / Useful life

= ( 51, 000 - 42, 000 ) / 6

= 9, 000 / 6 years

= $ 1, 500 per year

In the first year, the value of the boat would depreciate to:

= 51, 000 - 1, 500

= $ 49, 500

In the second year, the value would depreciate to:

= 49, 500 - 1, 500

= $ 48, 000

It therefore takes 2 years for the book value to be $ 48, 000.

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The correct way to represent this end behavior is,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

By observing the graph when x is approaching negative infinity y is approaching positive infinity.

And, when x is approaching positive infinity y is approaching negative infinity.

This can be symbolically expressed as,

x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.

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The volume of adrenaline you want is 0.25mL

From the question, we have the following parameters that can be used in our computation:

Amount to give = 250 mcg of adrenaline

Available = 1 mL of 1 : 1000 of adrenaline

The expression 1 mL of 1 : 1000 of adrenaline means that

1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)

So, we have

Available = 1 mL * 1000 microgram/mL

Evaluate

Available = 1000 micrograms

This can be expressed as

Available = 1000 mcg

So, we have

Amount to give = 250 mcg of adrenaline

Available = 1000 mcg of adrenaline

When converted to mL, we have

Available = 1 mL of 1 : 1000 of adrenaline

Divide by 4

Amount = 1 mL of 1/4 : 1000/4 of adrenaline

Evaluate

Amount = 1 mL of 1/4 : 250 of adrenaline

This implies that

Amount = 1 mL of 1/4

Evaluate

Amount = 0.25 mL

So, the amount is 0.25 mL

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Alright I got it.

So first what I did was I made an equation that match did the word problem.

The equation was 15x=250+10x

When I solved it the answer was 50.

so they would need to sell 50 Tshirts (x=50)

The equivalent expression of log₁₂(x⁴√x³) - 2(x+1)⁵ is 11/2log₁₂(x) - 2(x+1)⁵

From the question, we have the following parameters that can be used in our computation:

log 12 x^ 4 sqrt x^ 3 -2 (x+1)^ 5 ?

Express properly

So, we have the following representation

log₁₂(x⁴√x³) - 2(x+1)⁵

Evaluate the exponent

log₁₂(√x¹¹) - 2(x+1)⁵

Apply the power rule of logarithm

This gives

11/2log₁₂(x) - 2(x+1)⁵

Hence, the equivalent expression is 11/2log₁₂(x) - 2(x+1)⁵

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When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

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