Steve drove for 2.4 hours at an average speed of 48 miles per hour, then 3.5 hours at and average speed 56 miles per hour. How far did Steve drive?

Answer:

20 in^2

Step-by-step explanation:

smh

base * height = area

Answer:

20

Step-by-step explanation:

B X H

Answer:

True

Step-by-step explanation: 1 yard = 3 feet

The Pythagorean theorem, established by the ancient Greek philosopher Pythagoras, defines the relationship in a right-angled triangle between the squares of the lengths of the legs (a and b) and the hypotenuse (c) with the famous equation: a² + b² = c².

The Pythagorean Theorem

The Pythagorean theorem is a fundamental principle in the field of mathematics, specifically in geometry. It was established by the ancient Greek philosopher, Pythagoras, who made significant contributions to understanding the relationships in geometric figures. The theorem reveals a specific relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (√), which is the side opposite the right angle, is equal to the sum of the squares of the lengths of the other two sides. This can be elegantly expressed in the formula: a² + b² = c². Here, a and b represent the legs of the triangle, while c represents the hypotenuse.

For example, if a right triangle has legs of lengths 9 units and 5 units, using the Pythagorean theorem, we can calculate the length of the hypotenuse. We would square each of the legs (√9² + 5²), add these together, and take the square root to find that the hypotenuse is approximately 10.3 units long.

This theorem is not only a theoretical concept but is also practical in various real-world scenarios, such as calculating distances in navigation. An old adage suggests that the shortest distance between two points is a straight line. When dealing with the distances on a map or between points in space, a right triangle can often form, and using the Pythagorean theorem allows us to calculate the direct straight-line distance (hypotenuse) easily.

The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 25 : 64

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio of the lengths of the radii of two spheres is 5 : 8.

Now, We get;

The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 5² : 8²

⇒ 5² / 8²

⇒ 25 / 64

⇒ 25 : 64

Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,

⇒ 25 : 64

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Answer:

6.878

Step-by-step explanation:

I took the quiz

The nearest thousandth of the number will be 6.878.

Scientific notation is the technic to express the larger or smaller numbers in the calculations to make calculations easy to solve and understand.

Given number 6.8784 can be rounded to the nearest thousandth by ignoring the three numbers after the decimal.

Therefore the nearest thousandth of the number will be 6.878.

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Answer:

Around 1806.42

Answer:

Residual for the week will be $6.

Step-by-step explanation:

Regression equation predicting the per barrel cost of jet fuel is,

[tex]\hat{y}=2+\frac{7}{6}x[/tex]

where, [tex]\hat{y}[/tex] = cost of jet fuel

x = cost of crude oil per week

If the cost of crude oil in any week = $60

Then predicted cost of jet fuel,

[tex]\hat{y}=2+[\frac{7}{6}\times (60)][/tex]

  = 2 + 70

  = $72

Residual price = Actual cost - predicted cost

                        = $78 - $72

                        = $6

Therefore, residual price will be $6.                            

The residual of the week in which a barrel of crude oil costs $60 is $6

The least square regression equation is given as:

[tex]\mathbf{\^y = 2 + \frac 76x}[/tex]

When a barrel of crude oil costs $60, it means that x = 60.

So, we have:

[tex]\mathbf{\^y = 2 + \frac 76 \times 60}[/tex]

[tex]\mathbf{\^y = 2 + 7 \times 10}[/tex]

Multiply

[tex]\mathbf{\^y = 2 + 70}[/tex]

Add

[tex]\mathbf{\^y = 72}[/tex]

So, we have:

Actual Cost = $78

Predicted Cost = $72

The residual is then calculated as:

[tex]\mathbf{Residual = Actual - Predicted }[/tex]

This gives

[tex]\mathbf{Residual = \$78 - \$72}[/tex]

Subtract

[tex]\mathbf{Residual = \$6}[/tex]

Hence, the residual of the week is $6

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Answer:

Answer: 15

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Simplify  |-10|  to 10.

10+∣5∣

Simplify.

15

Answer:

b

Step-by-step explanation:

looked it up

Answer:

i think its b

The correct statements about the graph of the equation y=2x are that as the x-coordinates increase by 1, the y-coordinates increase by 2, and you can get the y-coordinate by substituting the x-coordinate into 2x.

Concerning the equation y=2x, option C is the correct statement about the graph. This is because linear equations like this represent a direct proportionality between variables x and y. When the x-coordinate increases by 1, the y-coordinate increases by the coefficient of x, in this case, 2, reflecting the equation's slope which is the constant rate of change for y in relation to x. Option D is also true because, for any point on the graph, substituting the x-coordinate into the expression 2x will yield the corresponding y-coordinate, as per the definition of a functional relationship in algebra. Thus, solutions to the equation y=2x include an infinite number of points on the graph, not just two as stated in option A, making options A and B incorrect.

Answer:

192

Step-by-step explanation:

3 * 4^3

Using PEMDAS

Exponents first

4^3 = 4*4*4 = 64

Replace into the expression

3 *64

3*64 =192

Angles 1 and 3 are vertical angles, so they are congruent.

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 8x - 2y - 17 = 0

Collect the x- terms and the y- terms together and add 17 to both sides

x² - 8x + y² - 2y = 17

Use the method of completing the square on both x and y terms.

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1

(x - 4)² + (y - 1)² = 34 → A

Answer:

(x−4)2+(y−1)2=34

Step-by-step explanation: hope this helps :)

d

Step-by-step explanation:

Answer:

number 1  + number 2 + number 3 = 15

Number 1 = x + 12

Number 2 = x - 12

Number 3 = x

(x + 12) + (x - 12) + x = 15

x + 12 + x - 12 + x = 15

x + x + x +12 -12 = 15

3x = 15

x = 15/3 = 5

Check:

Number 1 = 17

Number 2 = 5 -12 = -7

Number = 5

number 1  + number 2 + number 3 = 15

17 + (-7) + 5 = 15

10 + 5 = 15

15 = 15

Answer is 5

Step-by-step explanation:

Answer:

200 laps left

Step-by-step explanation:

50 * 2 = 100

100 miles have been completed

500 - 100 = 400

400 miles left

400 / 2 = 200

200 laps left

Answer:

12.1

Step-by-step explanation:

Answer: 12.1

Because you have to plug in your numbers in the expression d = 7km

Answer:

I believe it's B.

The pair of expressions that are equivalent are 6r + 3 and 9r, and 9(3r-4) and 27r - 36.

Let's simplify each expression to see which pairs are equivalent:

Now, let's compare them:

The equivalent pairs are:

So, the correct answer is:

B. 6r + 3 and 9r C. 9(3r-4) and 27r - 36

Answer:

Use 3.14 for p and do not round your answer. The circumference of a circular garden is 128.74 feet. What is the diameter of the garden? Use 3.14

Radius (r) = 15 feet

Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.

When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.

Circumference of a Circle Formula:

The Circumference (or) perimeter of circle = 2πr

where,

r is the radius of the circle

π is the mathematical constant with an approximate (up to two decimal points) value of 3.14.

Given,

Circumference of the circular garden:

C = 94.2 feet

Radius (r) =?

Circumference (C) = 2πr

94.2 = 2×3.14 × r

r = 94.2/6.28

r = 15 feet

Hence the radius of the park is 15 feet.

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Answer:

The answer is option 2.

Step-by-step explanation:

You have to use the formula of area of trapezium :

[tex]area = \frac{1}{2} \times (ab + cd) \times bc[/tex]

Let AB be 13 inches,

Let CD be 17 inches,

Let BC be 8 inches,

[tex]A = \frac{1}{2} \times (13 + 17) \times 8[/tex]

[tex] = \frac{1}{2} \times30 \times 8[/tex]

[tex] = \frac{1}{2} \times 240[/tex]

[tex] = 120 \: {inches}^{2} [/tex]

Answer:

The answer you put is right. Its 1120 :)

Step-by-step explanation:

Answer:

He would break the school record by 70 points.

Step-by-step explanation:

22.8*20= 456

456*.25= 114 (how many points he would be getting if he increased his scoring by 25%)

456+114= 570