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3 years ago

Part A: Solve –vp + 30 < 45 for p. Show your work.

1 answer:

8 0

Part A: subtract 30 from both sides to get -vp<45. Then divide both sides by -v and flip the signs to get p>45/-v

Part B: subtract 3w from both sides to get -6r=30. Then divide -6 by both sides to get 3w/-6-5=r

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So if I buy something for $36.97 and the and buy something else for $9.48 what will be the Total all Together?

Paul [167]

Answer:

36.97+9.48

=$46.45

Step-by-step explanation:

hope it helps

5 0

3 years ago

Read 2 more answers

Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).

Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

$y=ab^x$

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

$8=ab^4$ ...(1)

$32=ab^6$ ...(2)

Divide equation (2) by equation (1).

$\dfrac{32}{8}=\dfrac{ab^6}{ab^4}$

$4=b^2$

Taking square root on both sides.

$2=b$

Put b=2 in (1).

$8=a(2)^4$

$8=16a$

$\dfrac{8}{16}=a$

$0.5=a$

Substitute a=0.5 and b=2 in the given general exponential equation.

$y=0.5(2)^x$

Therefore, the correct option is C.

8 0

3 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

3 years ago

Raquel has created a program for a robot. The robot travels 10 meters and stops. The program is designed for wheels that are 2.5

Grace [21]

Answer:

Raquel should adjust the number of rotations to 115.81 rotations

Step-by-step explanation:

step 1

Find the circumference of the wheels that are 2.5 cm in diameter

The circumference is equal to

$C=2\pi r$

we have

$r=2.5/2=1.25\ cm$

assume

$\pi =3.14$

substitute

$C=2(3.14) (1.25)$

$C=7.85\ cm$

step 2

Find the number of rotations

Divide 10 meters by the circumference

$10\ m=1,000\ cm$

$1,000/7.85=127.39\ rotations$

step 3

For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance

Find the circumference of the wheels

The circumference is equal to

$C=2\pi r$

we have

$r=2.75/2=1.375\ cm$

assume

$\pi =3.14$

substitute

$C=2(3.14) (1.375)$

$C=8.635\ cm$

step 4

Find the number of rotations

Divide 10 meters by the circumference

$10\ m=1,000\ cm$

$1,000/8.635=115.81\ rotations$

3 0

3 years ago

This need 2 answers whoever does it correctly get the best answer brainlyist

jenyasd209 [6]

Answer:

A for sure. I want to say D is the other one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers