Find the value of angle b.

Answer:

C. when they are the same line

Answer:

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

Part A)

784 feet in the air (after five seconds).

Part B)

After 12 seconds.

Step-by-step explanation:

The height h (in feet) of a rocket t seconds after being fired is modeled by the function:

[tex]h(t)=-16t^2+160t+384[/tex]

Part A)

We want to find the rocket's maximum height.

Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -16, b = 160, and c = 384.

So, the vertex occurs at:

[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]

The maximum height is reached after five seconds.

Then the maximum height is:

[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]

Part B)

When the rocket reaches the ground, its height h above the ground will be 0. Hence:

[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]

Solve for t. We can first divide both sides by -16:

[tex]t^2-10t-24=0[/tex]

Factor:

[tex](t-12)(t+2)=0[/tex]

Zero Product Property:

[tex]t-12=0\text{ or } t+2=0[/tex]

Solve for each case:

[tex]t=12\text{ or } t=-2[/tex]

Time cannot be negative. Hence, our only solution is:

[tex]t=12\text{ seconds}[/tex]

The rocket reaches the ground 12 seconds after it is fired.

Answer:

3 x 5 = 15

Step-by-step explanation:

To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!

Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

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hope it helps

Answer:

x=121 degrees

Step-by-step explanation:

Sorry if my work is a bit messy. If you need me to rewrite it i can

Answer:

it should be 152, can i please get brainliest

Step-by-step explanation:

Answer:

A triangle

Step-by-step explanation:

The angles of a triangles are straight

therefore the triangle is a straight triangular shape

Answer:

119 or 124

Step-by-step explanation:

Answer:

a) 0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b) 0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c) The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Step-by-step explanation:

For each home, there are only two possible outcomes. Either it goes into foreclosure, or it does not. The probability of a home going into foreclosure is independent of other homes. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

a. What is the probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure?

The foreclosure rate is 1.31% for the Washington, DC area, which means that [tex]p = 0.0131[/tex]

We wanto to find, with [tex]n = 100[/tex]:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.0131)^{0}.(0.9869)^{100} = 0.2675[/tex]

[tex]P(X = 1) = C_{100,1}.(0.0131)^{1}.(0.9869)^{99} = 0.3551[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2675 + 0.3551 = 0.6226[/tex]

0.6226 = 62.26% probability that in a given year, fewer than 2 out of 100 houses in the Washington, DC area will go up for foreclosure.

b. What is the probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure?

Foreclosure rate of 0.87% for the nation, which means that [tex]p = 0.0087[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{100,0}.(0.0087)^{0}.(0.9913)^{100} = 0.4174[/tex]

[tex]P(X = 1) = C_{100,1}.(0.0087)^{1}.(0.9913)^{99} = 0.3663[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4174 + 0.3663 = 0.7837[/tex]

0.7837 = 78.37% probability that in a given year, fewer than 2 out of 100 houses in the nation will go up for foreclosure.

c. Comment on the above findings.

The proportion of foreclosures in the Nation is lower than in Washington, which means that with a sample size of 100, it is likely to have a small number(fewer than 2) of foreclosures than Washington DC.

Answer:

A

Step-by-step explanation:

Answer:

Arithmetic sequence with common difference of 3.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, and this difference is called common difference.

Geometric sequence:

The quotient between consecutive terms is always the same, and this quotient is called common ratio.

In this question:

5 - 2 = 8 - 5 = 3

5/2 = 2.5 different of 8/5 = 1.6

This means that it is an arithmetic sequence with common difference of 3.

Answer:

A. 3:30 pm

Step-by-step explanation:

45 + 25 = 70 --> 1 hour 10 minutes

4:40 minus 1 hour 10 minutes --> 3:30

Answer:

To maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

Step-by-step explanation:

Given that a farmer plans to grow wheat and corn, and each acre of wheat requires 4 hours of labor and $ 20 of capital, and each acre of corn requires 16 hours of labor and $ 40 of capital, and the farmer has at most 800 hours of labor and $ 2400 of capital available, if the profit from an acre of wheat is $ 80 and from an acre of corn is $ 100, to determine how many acres of each crop should she plant to maximize her profit the following calculation must be performed:

Knowing that each acre of wheat has a 50% lower capital cost, 75% lower hours and a 20% lower profit, in principle this would be the crop to be planted to obtain better yields.

2400/20 = 120

120 x 4 = 480

120 x 80 = 9,600

Thus, to maximize profits, the farmer should plant 120 acres of wheat, and no acre of corn.

Answer:

you plug in the numbers

Step-by-step explanation:

Please mark brainliest!!

Answer:

√x⁴-y²

x²-y²

(x+y)(x-y)

when

x=3

y=-6

√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer

Answer:

3 choices is the answer i think

Answer:

y=2x+8

Step-by-step explanation:

The slope intercept form is:

y=mx+b

with m and b already given, just plug in m and b and you will get your answer.

Answer:

D, 94

Step-by-step explanation:

Angles of a triangle add up to 180 degrees.  180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees.  86 = 2  180 - 86 = 94 94 = 1

Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D

Step-by-step explanation:

g(x) = -X^2

which isn't an option.

This sounds like an answer....

Answer:

There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.

Brainliest please?

Answer:

C

Step-by-step explanation:

Hope dis helps

Answer:

a=14

Step-by-step explanation:

Answer:

$2200/month

$2200/month