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2 years ago

What is the solution

Mathematics

1 answer:

gladu [14]2 years ago

8 0

Answer:

3x-1/4=-5/11
11 (3x-1)=4 (5)
33x-11=20
33x=20+11
33x=31
x=31/33
x=?

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

Will bought 3 college textbooks. One cost 32$, one cost 45$, and one cost 39$. What is the average price of his book?

Damm [24]

Answer:

The average of all textbooks is $38.60.

Step-by-step explanation:

Here's why to calculate average we do sum of all numbers divided by the number of numbers, for example if we average 2 and 3, we do 2+3 divided by 2. Which happens to be 2.5. Now for this problem we divide the sum by 3.

Therefore getting our answer of $38.60.

If this helps hit the thank button!

5 0

3 years ago

What is the surface area? 2 mm 2 mm 2 mm square millimeters

Alona [7]

Answer:

24 mm^2

Step-by-step explanation:

length x width x 6 sides in a cube

(2)(2)(6)=24

4 0

3 years ago

11. Find the value of the expression: -7 + 11 - 6 + 8 Your answer

Dvinal [7]

The answer to -7 +11 -6 + 8 =6

6 0

3 years ago

the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of

ludmilkaskok [199]

Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park

solution:

drawing scale is 5m : 1cm

1,600 m² = 5² m²

x 1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x = 1600 m²

5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

5 0

3 years ago