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3 years ago

Which is the correct input-output table for the function f(x) = 7 – 4.5x?

1 answer:

5 0

<span>Your inputs would be your xs and your outputs would be your ys. So if I had the x value of 1, to find the right y value for that we would plug in 1 into the equation: 7-4.5(1) </span>

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Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet

Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0

3 years ago

The high temperature for one town last year was 79°F The low temperature for the same town was - 3°F What was the difference bet

Ainat [17]

Answer:

79°c - (-3°c) = 82°c

Step-by-step explanation:

this is because we need to calculate the total gap between those numbers through number line. I have attached the photo, have a look over there.

6 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Fudgin [204]

Answer:

The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.

0 = − 4.9t^2 + 178t + 325

t = 38.07, -1.74

(Throw away the negative answer, since time can't be negative.)

t = 38.07 sec

Please Mark Brainliest If This Helped!

4 0

2 years ago

A random sample of 41 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $19.55 per car. The p

Rashid [163]

Answer:

$19.55\pm2.145$

Step-by-step explanation:

We use the equation $\bar x\pm z^*\sigma/\sqrt n$ , where $\bar x=19.55$ , $\sigma=6.33$ , $n=41$ , and $z^*=2.17$ . We obtain $z^*$ from the z-score of a 0.97 confidence level.