What is the area of the given circle in terms of pi.

Answer:

a. 304 feet

b. 425 feet

c. 3.75 seconds

d. It will take the rocket approximately 8.9 seconds to hit the ground

Step-by-step explanation:

1. The given data of the question including the question relationships are listed as follows;

The height of the cliff from which the rocket was launched = 200-ft.

The initial velocity of the rocket, u = 120 feet per second

The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200

a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;

h(1) = -16 × (1)² + 120 × (1) + 200 = 304

The height of the rocket after 1 second, h(1) = 304 feet

b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;

At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0

∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0

t = 120/32 = 3.75

At the maximum point, t = 3.75 seconds

The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;

At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75

At the vertex (the maximum point), t = 3.75

The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425

The height at the maximum point, h(3.75) = 425 feet

c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75

Therefore;

The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds

d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;

At the ground level, h(t) = 0 = -16·t² + 120·t + 200

Therefore, we get;

-16·t² + 120·t + 200 =

t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))

t ≈ 8.9 or t ≈ -1.4

Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.

Answer:

60 cubic inches

Step-by-step explanation:

first find the area of the right triangle then multiply by 10 in.

=> (3 × 4 ÷ 2) × 10

=> 60 in.³

Answer:

Open circle at 3 going to the right.

Step-by-step explanation:

Let’s look at this.

first, let’s simplify the inequality. 2x +3-3>9-3

2x>6

x>3

since this is just a greater than or less than, it will be an open circle.

now that we have established that, we can see that x is BIGGER than 3. In that case, it will be an open circle at 3 going to the right.

Answer:

For the coca-cola case, stratified sampling coupled with random sampling will be used.

Step-by-step explanation:

Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:

Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.

Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.

Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.

Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.

On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.

Answer:

y = 4x + 1

Step-by-step explanation:

y = mx + b

The line goes thru (0, 1) and (1, 5)

The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4

The y-intercept is (0, 1), so b = 1

y = 4x + 1 is the equation of the line

Answer:

3.46

Step-by-step explanation:

plz can i get brainliest:)

Answer:  60

Step-by-step explanation:

Answer:60

Step-by-step explanation:

((−8)(15) (-1/2) =60

Answer:

$660

Step-by-step explanation:

Step 1

The number of extra necklaces that valeria needs is calculated as:

477 necklaces - 147 necklaces

= 330 necklaces

Step 2

We are told that

1 extra necklace cost $2

Hence

1 necklace = $2

330 necklaces = x

Cross Multiply

x = 330 × $2

x = $660

Therefore, Valeria need to spend and additional $660

Answer:

Option A. {-4, 2, 4}

Step-by-step explanation:

There is no other options because none of them are bigger than -5 except Option A.

Answer:

b po ang tamang sagot

Step-by-step explanation:

i hope its help

Answer:

X > 2

Step-by-step explanation:

Value of x is greater than 2 and the circle is not filled. So.  x > 2

Answer:

6 hours

Step-by-step explanation:

Given: A plane is traveling at a constant rate described by d = 525t

where d is the distance and t is the time

We know that ratio  of distance upon time  = d/t = 525 miles per hour

Therefore, time taken to travel 3150 miles  = 3150/525 = 6 hours

Answer:

you can do this have a great day

Step-by-step explanation:

Answer:

aa is the repuestos yes ok

Answer:

A

Step-by-step explanation:

Answer:

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.

Step-by-step explanation:

So as to say that irrational numbers can't be a squared root because of there decimals.

Answer:

17r = 595 is the answer

Step-by-step explanation:

Answer:

A) 17r = 595 is the correct equation.

Step-by-step explanation:

We have to find the no. of rooms on each floor.

If there are 'r' rooms, and in 17 floors there are a total of 595 rooms,

We can represent it in the following equation:

17r = 595

r = 595/17

r = 35

∴ There are 35 rooms on each floor

Answer:

A

Step-by-step explanation:

g

[tex]g(x) = f(x - 2) + 4[/tex]

A function assigns the value. The equation of the function g(x) will be f(x-2)+4.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) is a function which is shifted two units to the right and 4 units upwards. Therefore, in the function f(x) we need to add -2 to the value of the x for the function to move right, while we need to add 4 to the overall function to move it four units upwards.

Hence, the equation of the function g(x) will be f(x-2)+4.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

Its the third and fourth answer

Answer:

p-(-Q)

Step-by-step explanation:

Because the thing goes down and i got it correct for that answer your welcome

Given:

Three coins are tossed.

To find:

The probability that you will get “heads” no more than once out of 3 flips.

Solution:

If three coins are tossed then the sample space is:

[tex]S=\{HHH,HTH,HHT,HTT,THH,TTH,THT,TTT\}[/tex]

Total possible outcomes = 8

Number of 0 successes means 0 heads in 3 flips, i.e., TTT.

Number of 1 successes means exactly 1 heads in 3 flips, i.e., HTT, THT, TTH.

Now,

[tex]P(0\text{ success})=\dfrac{1}{8}[/tex]

[tex]P(1\text{ success})=\dfrac{3}{8}[/tex]

And, their sum is:

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{8}+\dfrac{3}{8}[/tex]

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{4}{8}[/tex]

[tex]P(0\text{ success})+P(1\text{ success})=\dfrac{1}{2}[/tex]

Therefore, the probability that you will get “heads” no more than once out of 3 flips is [tex]\dfrac{1}{2}[/tex].

Answer:

All you have to do is equal the equations to each other to find x for each problem!

Step-by-step explanation:

Hope this helps bestieee!

Answer:

6

Step-by-step explanation:

The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.

Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.

I also made a visual in the file below if this is confusing

Answer:

the pic wont load

Step-by-step explanation:  try and upload again

Answer:

158.45

Step-by-step explanation:

Answer:

gYou and your family go out for dinner.  The bill is $146.  There is 8.25% tax.  Find the total price you will pay for dinner including tax.

Step-by-step explanation:vYou and your family go out for dinner.  The bill is $146.  There is 8.25% tax.  Find the total price you will pay for dinner including tax.

Answer:

Yes

Step-by-step explanation:

What is the question we need to answer? We got the information

Answer:

x = - 3

Step-by-step explanation:

- 8x - 10(3) = - 6

- 8x - 30 = - 6

- 8x - 30 + 30 = - 6 + 30

- 8x = 24

- 8x ÷ - 8 = 24 ÷ - 8

x = - 3

Answer:

the answer is A -3

Step-by-step explanation:

-8x-10y=-6 when y=3

-8x-10(3)=-6

-8x-30=-6

-8x=-6+30

-8x=24

-8x÷8=24÷8

x=-3

Answer:

m∠1=111°

Step-by-step explanation:

Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.

64+47=111.

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}[/tex]

Here

So the Z score is given as

[tex]Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955[/tex]

For this the score, the value of probability is calculated from the table as below:

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z<-1.6955)[/tex]

Here value of p(Z<-1.6955) is given as 0.0455

[tex]P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z<-1.6955)\\P(\hat{p}>0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545[/tex]

Answer:

it's 65 because if u count the inside of the boxes u get 65

Answer:

34

Step-by-step explanation:

to get the perimeter you add the side-A with Base-B and Side-C.

The base at the bottom is 10 and the two symmetrical sides is 12.

P= a + b + c

34= 12 + 10 + 12

Answer:

Step-by-step explanation:

added the answe in the sreen shot below that fully explains it