I need help really really bad

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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Answer:

Variable- it doesnt really matter. Im just going to use X.

Equation- $16.35 + x = $39.75.

The solution is $23.40

Step-by-step explanation: Basically you reverse the equation so it says $39.75 - $16.35 = x . Then you just subtract.

Answer:

$23.40

Step-by-step explanation:

To find how much she spent on the bracelet, subtract how much she spent on the pair of sunglasses from her total amount

$39.75- $16.35=$23.40

Answer:

Step-by-step explanation:

All real numbers because x can assume every possible value

Answer:

Step-by-step explanation:

Balls

Options of getting 3 balls

Probability P(n) in each option

1. WBB

P(n) =

2. BWB

P(n) =

3. BBW

P(n) =

Final equation is same for each case:

The easy way to find the maximum is to try the numbers or graph.

Both of the methods give the maximum integer n = 11 or n = 12

See attached graph

At both values n we get P(n):

Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)

Explanation:

There really is not enough information here. You have not indicated how x is related to the rectangle.Perhaps (as an alternative to the assumption I made [above]), you meant for x > 0 to be the length of one side of a square.

I have attached the answer in the picture.

Answer:

38

Step-by-step explanation:

3 to 6 is an add by 3 then 6 to 11 is an add by 5 then 11 to 18 is an add by 7 each add is increased by 2 so the next add will be 9 giving you 27 then you will add 11 because it's increased by two giving you 38

Answer:

275.125

Step-by-step explanation:

just multiply 35.5 with 7.75 and theres your answer

Answer:

40 ft in think

Step-by-step explanation:

Answer: 20 feet

Step-by-step explanation:

radius of a Circe is half of the diameter

40 divided by 2 = 20 feet

The solution for \(y_{2}\) is \(y_{2}=m({x_{2}-x_{1}})+y_{1}}\).

The given expression is

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

We have to solve the given expression for \(y_{2}\).

In the elimination method we use opposite symbol to eliminate the variable. If we have to eliminate the addition then we subtract the same variable and vice versa. If we have to eliminate the multiplication then we use division and vice versa.

To solve the expression for \(y_{2}\) we have to eliminate the all variable that have in subtraction and division of \(y_{2}\).

Firstly we multiply with \(x_{2}-x_{1}\) on both

\(m\times ({x_{2}-x_{1}})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\times ({x_{2}-x_{1}})\)

Now we simplify the expression.

Since \(x_{2}-x_{1}\) have in division on multiplication so right side on left \({y_{2}-y_{1}}\)

\(m({x_{2}-x_{1}})={y_{2}-y_{1}}\)

Now we add \(y_{1}}\) on both side

\(m({x_{2}-x_{1}})+y_{1}}={y_{2}-y_{1}}+y_{1}\)

There is \(y_{1}}\) in subtraction and addition so right side only left \(y_{2}\)

Now the expression is

\(m({x_{2}-x_{1}})+y_{1}}=y_{2}\\\)

So,

\(y_{2}=m({x_{2}-x_{1}})+y_{1}}\).

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This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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Answer:

-9/7.

Step-by-step explanation:

√81 = 9 and √49 = 7

but we need the negative square root

which is -9/7.

Answer:

I'm not exactly sure, but I'm positive that it's 60 degrees.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

90 = 30 + (4x)

60 = 4x

x = 60/4 = 15

30° and (4x)° must add up to 90° because they are complementary angles

Answer:

142 meters.

Step-by-step explanation:

Area can be found by multiplying length*width.  This means that if you have an area, but no width, you can divide the area by the length, or vice versa.  To get the answer, you divide 852/6 to get 142.

Answer:

52.4

Step-by-step explanation:

% change = 100 x final initial/initial

When you have a diision of numbers in scientific notation you have to know that first you divided the bases like any other division in this case:

and then you must substract the exponents; in this case

So the answer is:

Answer:

87x + 73

Step-by-step explanation:

Combine like terms.  Combining the x terms yields 87x; combining the constants yields 73.  Thus, the desired expression is 87x + 73.

Answer:87x+73

Step-by-step explanation:

Distribute the Negative Sign:

=57x+79+−1(−30x+6)

=57x+79+−1(−30x)+(−1)(6)

=57x+79+30x+−6

Combine Like Terms:

=57x+79+30x+−6

=(57x+30x)+(79+−6)

=87x+73

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

The number of policemen Officers starting each shift is given as follows;

Starting  Time           \({}\)             Officers Starting

8:00 a.m.                   \({}\)            3

Noon           \({}\)                          3  

4:00 p.m.                  \({}\)             6

8:00 p.m.                \({}\)               1

Midnight                 \({}\)               3

4:00 a.m.            \({}\)                   4

Step-by-step explanation:

The given parameters are;

The Time of the Day          \({}\)             Number of Officers

8:00 a.m. --- Noon                  \({}\)            7

Noon --- 4:00 p.m.           \({}\)                   6  

4:00 p.m. --- 8:00 p.m.           \({}\)            9

8:00 p.m. --- midnight          \({}\)               7

Midnight --- 4:00 a.m.           \({}\)              4

4:00 a.m. --- 8:00 a.m.            \({}\)            6

From the table, we have;

The total number of hours worked = (7 + 6 + 9 + 7 + 4 + 6) × 4 = 156 hours

The approximate number of policemen = 156/8 = 19.5 ≈ 20

Let a, b, c, d, e, and f be the number of policemen that start their 8 hour shift starting from 4:00 a.m.

Let b be the number of policemen that start their 8 hour shift at 4:00 a.m.

∴ a + b = 7, b + c = 6, c + d = 9, d + e = 7, e + f = 4, f + a = 6

Given that there are 6 variables, by noting that the maximum value of the variables will be about 5, and by trial and error, we have

a - c = 1

d - b = 3

c - e = 2

d - f = 3

a - e = 2

a - f = 1

Whereby a + b + c + d + e + f = 20

Therefore, we have;

b = 3, d = 6, f = 3, a = 4, c = 3, e = 1

Which gives;

Starting  Time           \({}\)             Officers Starting

8:00 a.m.                   \({}\)            3

Noon           \({}\)                          3  

4:00 p.m.                  \({}\)             6

8:00 p.m.                \({}\)               1

Midnight                 \({}\)               3

4:00 a.m.            \({}\)                   4

Answer:

A: 7:5 B: 12:5

Step-by-step explanation:

By doing simple subtraction you can find that the remaining flowers are daisies, the rest is self explanatory. Hope this helps!

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Explanation:

There are 12 choices for the first topping and 11 for the next topping. The decrease is to account for the fact we cannot select a repeat topping.

That gives 12*11 = 132 permutations. If order of toppings mattered, then this would be our final answer.

However, the topping order doesn't matter. So we need to divide by 2 to correct for the double counting.

There are 132/2 = 66 combinations.

------------

Alternative Method:

n = 12 toppings are available and r = 2 selections are allowed

Order doesn't matter so we use the nCr combination formula

\(n C r = \frac{n!}{r!(n-r)!}\\\\12 C 2 = \frac{12!}{2!*(12-2)!}\\\\12 C 2 = \frac{12!}{2!*10!}\\\\12 C 2 = \frac{12*11*10!}{2!*10!}\\\\ 12 C 2 = \frac{12*11}{2!}\\\\ 12 C 2 = \frac{12*11}{2*1}\\\\ 12 C 2 = \frac{132}{2}\\\\ 12 C 2 = 66\\\\\)

There are 66 combinations

Notice the 2nd to last step involves 132/2 which was mentioned in the previous section.

The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).

To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:

ρ = λ / μ

where:

ρ = Utilization

λ = Arrival rate (rate at which customers arrive at the line)

μ = Service rate (rate at which the clerk can handle customers)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Service rate (μ) = 35 customers per hour

Now, let's calculate the utilization (ρ):

ρ = 30 / 35 ≈ 0.8571

To convert this to a percentage, we multiply by 100:

ρ ≈ 0.8571 * 100 ≈ 85.71%

Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:

Idle time = 100% - Utilization

Idle time ≈ 100% - 85.71% ≈ 14.29%

Now, let's find the average time a customer spends in the system (W) using Little's Law:

W = L / λ

where:

W = Average time a customer spends in the system

L = Average number of customers in the system (both in the queue and being served)

λ = Arrival rate (rate at which customers arrive at the line)

Given in the problem:

Arrival rate (λ) = 30 customers per hour

Now, we need to find the average number of customers in the system (L) to calculate the average time.

L = Ls + λ

where:

Ls = Average number of customers in the queue

Ls = λ / (μ - λ)

Given in the problem:

Service rate (μ) = 35 customers per hour

Ls = 30 / (35 - 30) = 30 / 5 = 6 customers

Now, calculate the average number of customers in the system (L):

L = Ls + λ

L = 6 + 30 = 36 customers

Now, calculate the average time a customer spends in the system (W):

W = L / λ

W = 36 / 30 = 1.2 hours per customer

Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):

Probability of having n units in the system = (ρ^n) * (1 - ρ)

Probability of having 36 units in the system (L):

Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183

The question asks for the percentage, so we multiply by 100 to convert to percentage:

Probability ≈ 0.0000183 * 100 ≈ 0.00183%

Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).

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Answer: Your sample size must be 57 .

Step-by-step explanation:

The degrees of freedom(df) require to calculate the correlation coefficient is N-2, where N is the sample size.

If Degrees of freedom(df)  is given as 55, then

N-2 =55

Add 2 on both sides , we get

N= 55+2=57

Therefore , the required sample size = 57

Check the picture below.

\(\textit{perimeter of a rectangle}\\\\ P=2(L+w) ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ P=88\\ L=w+8 \end{cases}\implies 88=2( ~~(w+8)+w ~~ ) \\\\\\ 88=2(2w+8)\implies 88=4(w+4)\implies \cfrac{88}{4}=w+4 \\\\\\ 44=w+4\implies \boxed{40=w}\hspace{5em}\stackrel{w+8}{\boxed{L=48}}\)

Answer:

Fifty six thousand and seventy eight

Step-by-step explanation:

Fifty six thousand and seventy eight