Observe the graph below. The graph shows a function that is asymptotic to

The table shows the percent of successful unmanned missions to Mars by each country or agency to the nearest tenth of a percent.

suter [353]

Answer:

C.) India, the European Space Agency, and Other launched a total of 4.5 percent of the successful missions.

EDGE2021

4 0

2 years ago

Jeanine’s swimming pool has a diameter of 27 feet. Surrounding the pool is a

Anuta_ua [19.1K]

Answer:

It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

Step-by-step explanation:

Diameter of swimming pool = 27 feet

Radius of pool r= $\frac{27}{2}=13.5 feet$

Surrounding the pool is a deck that extends 5 feet from the edges of the pool

Outer radius R = 13.5+5=18.5

Area of deck = Outer area - Inner area

Area of deck = $\pi R^2 -\pi r^2$

Area of deck = $3.14(18.5^2-13.5^2)$

Area of deck = $502.4 ft^2$

Cost of painting 1 sq.feet = $0.85

Cost of painting 502.4 sq.feet = $502.4 \times 0.85=427.04$

Perimeter of deck = $2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet$

Cost of fencing 1 foot = $8.25

Cost of fencing 116.18 foot = $116.18 \times 8.25=958.485$

Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck

6 0

2 years ago

Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?

galina1969 [7]

Answer:

Option D

Step-by-step explanation:

A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.

A line with an undefined slope does not touch the y-axis. It is vertical.

Option D should be the correct answer.

4 0

2 years ago

Alice and Briana each participate in a 5 kilometer race. Alice's distance covered, in kilometers, after t minutes can be modeled

Pavel [41]

Answer:

a. Alice

b. Briana

c. 0.51 minutes

Step-by-step explanation:

a. Alice formula is valid for any t > 0 minutes, but Briana formula is only valid for

2t - 1 > 0

2t > 1

t > 1/2 minutes

b. They finish when their covered distance is equal to 5 kilometers. For Alice:

t/4 = 5

t = 5*4 = 20 minutes

For Briana:

√(2t - 1) = 5

2t - 1 = 5²

2t = 25 + 1

t = 26/2

t = 13 minutes

c. They are side by side when they have covered the same distance, that is:

t/4 = √(2t - 1)

(t/4)² = 2t - 1

t²/16 = 2t - 1

t² = 16*(2t - 1)

t² = 32t - 16

t² - 32t + 16 = 0

Using quadratic formula:

$t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}$

$t = \frac{32 \pm \sqrt{-32^2 - 4(1)(16)}}{2(1)}$

$t = \frac{32 \pm 30.98}{2}$

$t_1 = \frac{32 + 30.98}{2}$

$t_1 = 31.49$

$t_2 = \frac{32 - 30.98}{2}$

$t_2 = 0.51$

Only the second answer has sense for this problem because the race already finished before they spent 31.49 minutes in it.

4 0

2 years ago

Read 2 more answers

Z to the power of 2 =1

stiv31 [10]

That would be written as:

$z^{2} = 1$

And the step-by-step equation would be:

$z^{2} = 1$ → we take the 2 to the right side of the equation and do the IO*

$z = \sqrt{1}$ →we solve for $\sqrt{1}$

$z = 1$ → final answer

*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)

Hope it helped,

BioTeacher101

3 0

2 years ago