What’s the answer no work needed<br> Given f (x) = 5x2 and g(x) = 2x + 3, find f(g(-4))

diamong [38]

Answer:

2 meters

Step-by-step explanation:

We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).

In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.

Now, we write:

$tan(72)$ = 6/x

To solve, we just multiply both sides by tan(x) and x:

x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.

Thus, the answer is 2 meters.

Hope this helps!

4 0

3 years ago

Find the greatest common factor of 7 and 7.

marusya05 [52]

Answer:

7

Step-by-step explanation:

Obviously

5 0

3 years ago

Read 2 more answers

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

denis23 [38]

Answer:

Option (d) is correct.

$\sqrt{10000x^{64}}=100x^{32}$

Step-by-step explanation:

Given : Expression $\sqrt{10000x^{64}}$

We have to write a simplified form of the given expression $\sqrt{10000x^{64}}$

Consider the given expression $\sqrt{10000x^{64}}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{10000}\sqrt{x^{64}}$

Factor 10000 as $10000=100^2$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{100^2}=100$

also, $\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0$

We have,

$\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}$

Thus, $\sqrt{10000x^{64}}=100x^{32}$

8 0

3 years ago

Read 2 more answers

A chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt and pepper. You have lost

Anit [1.1K]

Answer:

1 out of 8 chance it will be listed exactly

6 0

3 years ago

2.06. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nucle

DaniilM [7]

Answer:

$z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795$

$p_v =2*P(Z>2.795)= 0.005$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=74$ represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

$X_{2}=70$ represent the number of people suburban residents are in favor

$n_{1}=100$ sample 1 selected

$n_{2}=125$ sample 2 selected

$p_{1}=\frac{74}{100}=0.74$ represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

$p_{2}=\frac{70}{125}=0.56$ represent the proportion of suburban residents are in favor

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{74+70}{100+125}=0.64$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795$

Statistical decision

The significance level provided is $\alpha=0.05$ ,and we can calculate the p value for this test.

Since is a two tailed test the p value would be:

$p_v =2*P(Z>2.795)= 0.005$

So if we compare the p value and using any significance level for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.

5 0

3 years ago

What’s the answer no work needed Given f (x) = 5x2 and g(x) = 2x + 3, find f(g(-4))