Identify the slope and y-intercept of the function y = 7x

compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket

creativ13 [48]

Answer:

8

Step-by-step explanation:

<h2>i'm a 12 year old girl and i get it so you have to think about the local store would be half witch would be 4 so the answer is 8 </h2>

7 0

3 years ago

If the area of a square is 1 square meter, how many centimeters long is each side?

aev [14]

Answer:

100 centimeters

Step-by-step explanation:

Area of a square is side x side= s x s or s²

If s² = 1 square meter

s = √1 = 1 meter

Each side is 1 meter. To convert to centimeters multiply by 100 since there are 100 centimeters in 1 meter.

Each side is 100 centimeters

7 0

4 years ago

As a bowl of soup cools, the temperature of the soup is given by the twice-differentiable function H for 0<img src="https://tex.

Aleks04 [339]

The rate of change of temperature with time at a point in time is given by

the derivative of the function for the temperature of the soup.

The correct responses are;

a) H'(5) is approximately -2.6 degrees Celsius per minute.

b) Yes

c) The equation for the line tangent is y = -3.6·t + 90.8
The approximate value of C(5) is 72.8 °C

d) The rate of change of the temperature of the soup at t = 3 minutes is -3.6 degrees Celsius per minute.

Reasons:

a) From the data in the table, we have;

The approximate value of H'(5) is given by the average value of the rate of

change of the temperature with time between points, t = 3, and t = 8

Therefore;

$\displaystyle H'(5) = \mathbf{\frac{H(8) - H(3)}{8 - 3}}$

Which gives;

$\displaystyle H'(5) = \frac{80 - 67}{8 - 3} = \mathbf{2.6}$

Therefore, H'(5) = -2.6°C per minute

b) Given that the function is twice differentiable over the interval, 0 ≤ t ≤ 12, the function for the change in temperature is continuous in the interval 0 ≤ t ≤ 12

At t = 0, H(0) = 90 °C

At t = 12, H(12) = 58 °C

58 °C < 60 < 90 °C

Therefore, there exist a temperature, of 60 °C between 90° C and 58 °C

c) The given derivative of C is, $C'(t) = \mathbf{-3.6 \cdot e^{-0.05 \cdot t}}$

At t = 3, we have;

$The \ slope \ at \ t = 3 \ is \ C'(3) = -3.6 \cdot e^{-0.05 \times 3} \approx -3.1$

Therefore, we have;

y - 80 ≈ -3.1 × (x - 3)

The equation for the tangent is; y = -3.6 × (x - 3) + 80

y = -3.6·x + 10.8 + 80 = -3.6·x + 90.8

The equation for the tangent is; y = -3.6·x + 90.8

The value of C(5) is approximately, C(5) ≈ -3.6 × 5 + 90.8 = 72.8

C(5) ≈ 72.8°

d) Based on the the model above, the rate at which the temperature of the

soup is changing at t = 3 minutes is -3.6 degrees per minute.

Learn more about calculus and concepts here:

brainly.com/question/20336420

8 0

3 years ago

Convert the following measures of capacity.

nata0808 [166]

Answer:

a)35 cubic meters=35000 liters.

b)450 cubic centimeters= 450 milliliters.

c)19.74 cubic meters=19740 cubic decimeters.

d)926 cubic centimeters=0.926 cubic decimeters.

Step-by-step explanation:

a) since one cubic meter = 1000 liters,

35 cubic meters=35 X 1000=35000 liters

b) Since one cubic centimeters=1 milliliter,

450 cubic centimeters=450 milliliters.

c)Since one meter = 10 decimeters, one cubic meter=10³ decimeters.

Hence 19.74 cubic meters= $19.74X10^{3} =19740$ cubic decimeters.

d) Since once centimeter=0.1 decimeter, 1 cubic centimeter=0.1³ decimeters.

Hence 926 cubic centimeters= $926X0.1^{3}=0.926$ cubic decimeters.

7 0

4 years ago

Read 2 more answers

What is the answer to 2x-6(2)?

ololo11 [35]

2x-6 (2) is your equation. follow these steps, and you have to distribute 6 into 2 like this: 2x-12. you get negative 12 because -6 x 2 =-12. now you divide -12 by 2 which is -6. So -6=x

8 0

4 years ago

Identify the slope and y-intercept of the function y = 7x – 3.