Find a possible formula for the exponential function graphed below.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

Step-by-step explanation:

Assuming that biology would be the rest of the books read, you would have a common denominator, in this case 12, to determine what was left. 1/6 is 2/12, plus the 5/12. If you're trying to combine the two together then it'll be 7/12. If you're trying to find the remainder, then it would be 5/12

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

commutative property of multiplication

Step-by-step explanation:

doesnt matter 2*1 or 1*2 you will get the same answer

Answer:

500

Step-by-step explanation:

including the new season of the year and a half years of the year and a half years

Answer:

well 5,00 and10, =10 in example the amount of time required for the investment to double is (2) =10. but a Rech of 7.500

Step-by-step explanation:

hope this helps :)

Answer:

\(5 ^{2} \times 2^{4} \)

Step-by-step explanation:

Multiplying 5 by itself is the same thing as raising it to the second power:

\(5 \times 5 = {5}^{2} = 25\)

We multiply 2 by itself two seperate times. That's the same thing as raising 2 to the second power to the second power or in simpler terms raising two to the fourth power:

\(2 \times 2 \times 2 \times 2 = {({2}^{2})}^{2} = {2}^{4} = 16\)

Since only multiplication is present, we can combine the two terms to get:

\(5^{2} \times {2}^{4} \)

The number of months that it will take for both firms to have same servicing costs is; 9 months

The landscaping service will be less expensive in the long term is; Evergreen

We are told that Evergreen charges a $79 startup fee and $39 per month.

Eco Solutions charges a $25 startup fee and $45 per month

Let c represent the total cost in dollars and t represent the time in

months.

Thus;

c = 79 + 39t

c = 25 + 45t

The month that both will have same servicing costs is;

79 + 39t = 45t + 25

79 - 25 = 45t - 39t

54 = 6t

t = 54/6

t = 9 months

The landscaping firm that will cost more in the long run is Eco solutions because they charge more per month.

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Answer:

a) The insurance should be of 84.6 months, that is, approximately 85 months.

b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

c) The expected loss to the insurance company is of 2.18 million.

d) The company should expect to make a profit of $689,200.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.

This means that \(\mu = 90, \sigma = 3.5\)

A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?

The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.555 = \frac{X - 90}{3.5}\)

\(X - 90 = -1.555*3.5\)

\(X = 84.6\)

The insurance should be of 84.6 months, that is, approximately 85 months.

B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?

This is the pvalue of Z when X = 84. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z= \frac{84 - 90}{3.5}\)

\(Z = -1.71\)

\(Z = -1.71\) has a pvalue of 0.0436

0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.

C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?

0.0436 probability of losing 50 million. So

0.0436*50 = 2.18

The expected loss to the insurance company is of 2.18 million.

D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?

1 - 0.0436 = 0.9564 probability of making 3 million.

0.0436 probability of losing 50 million

So

\(E = 0.9564*3 - 0.0436*50 = 0.6892\)

The company should expect to make a profit of 0.6892 million, that is, $689,200.

To find the equation, use the slope-intercept form.

Slope-intercept form:

(3,-4) (2,-3)

Rewrite the problem.

\(\sf{\dfrac{-3-\left(-4\right)}{2-3}}}\)

Solve.

\(\sf{= \dfrac{1}{-1}}= -1\)

-1 is the y-intercept.

\(\Longrightarrow: \boxed{\sf{y=-x-1}}}\)

Therefore, the final answer is y=-x-1.

I hope this helps, let me know if you have any questions.

Answer:

71.99 in³

Step-by-step explanation:

The formula to apply is that of volume of a cone where;

V=π*r²*h/3  --------where V is the volume of the container, r is the radius of the container  and h is the height of the container

Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;

V= 3.14 * 2.5²* 11/3

V= 3.14 * 6.25 * 3.67

V= 71.9948

V= 71.99 in³

Answer:

Volume of Cone= 71.9583

Step-by-step explanation:

Volume of Cone= (1/3)πr²h

Volume of Cone= (1/3)×3.14×(2.5)²×11

Volume of Cone= 71.9583

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

First, let's declare a variable

x = # of students

Now, let's create an equation to model the problem.

x * 0.273 = 125

Divide both sides by 0.273

x = 457.8 = 458 students.

Note, I rounded to the nearest whole number.

Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.

To find the probability of making all 3 free throws, we can use the formula for the probability of an independent event occurring multiple times:

P(A) * P(A) * P(A) = P(A^3).

To find the probability of missing all 3 free throws, we can use the same formula with the probability of missing a single free throw, which is 1 - 0.91 = 0.09.

Plugging this into the formula gives us 0.09 * 0.09 * 0.09 = 0.0029.

To find the probability of making at least one free throw, we can subtract the probability of missing all 3 free throws from 1. 1 - 0.0029 = 0.9710.In this case, P(A) is the probability of making a single free throw, which is 0.91.

Plugging this into the formula gives us 0.91 * 0.91 * 0.91 = 0.8281.

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Answer:

\(f(x)=-(x+3)^2\)

Step-by-step explanation:

The parent function is f(x) = x^2.

The green function is moved 3 units to the left. This means that the function changes like this:

The green function is also reflected over the x-axis.

Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)

So, we put a negative on the outside.

\((x+3)^2\) --> \(-(x+3)^2\)

The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.

The function is also not stretched or shrunk.

So, the equation of the green function is:

\(f(x)=-(x+3)^2\)

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

121 km

Step-by-step explanation:

i added all the number together

2.54 I think I hope this helps

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Probability that a randomly selected August day has a high temperature that exceeds 70°F is approximately 0.7727, or 77.27%.

Assuming that the range of high temperatures in a specific city throughout the month of August is uniform, the probability density function (pdf) of the distribution is as follows:

\(f(x) = 1 / (b - a) = 1 / (87 - 65) = 1 / 22\)

where the temperature interval's lower and higher bounds are set at 65 and 87, respectively.

We must determine the area under the pdf curve to the right of x = 70°F in order to determine the likelihood that a randomly chosen August day will have a high temperature that is higher than 70°F. This can be done by integrating the pdf from 70 to 87:

\(P(x > 70) = ∫(70 to 87) (70 to 87) f(x) dx = ∫(70 to 87) (70 to 87) 1/22 dx = [1/22 * (x)] (70 to 87) = (1/22) * (87 - 70) = 0.7727\)

As a result, there is a 77.27% probability that an August day chosen at random would have a high temperature above 70 degrees Fahrenheit. This suggests that out of 100 randomly selected August days, we may expect roughly 77 days to have a high temperature surpassing 70°F.

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Answer:

For the first city, the 95% confidence interval would be:

28,900 +/- 2300 x 3 = 28,900 +/-6900$

For the second city, the 95% confidence interval would be:

30,300 +/- 2100 x 3 = 30,300 +/- 6300$

Answer:

i think question is not clear

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

-32

Step-by-step explanation:

-4 + f(8) + 3 x g(-7) = ?

To find f(8), look at each of the f(x) function and find x = 8. The y value is the answer you will plug in for f(8). The same goes for g(-7), but you will be looking at the g(x) function at x = -7.

f(8) = -4

g(-7) = -8

Make sure you solve in the correct order using PEMDAS.

-4 + (-4) + 3 x (-8) = -32

Answer:2/3

Step-by-step explanation:

rise over run and the y-intersect is 3

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

the function is only increasing.

Step-by-step explanation:

Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

in this problem, it wants us to graph this piecewise function and then determine which answer choice matches. And I'm not sure if you gave me all the answer choices, but let's go ahead and try and graph this. So first we have a vertical line at negative three from negative 22 negative one. So here is -2. It's going to be open circled at negative two, two, which is going to have a closed circle since it's less than or equal to. And it would just connect right in there. Then we would have an open circle at negative one at negative two And then closed at zero And then an open circle at zero and -1 closed at one. So that would be a graph of this function. It doesn't look like I have all the answer choices, which you want to look for, the one that starts at -3. And it's open circle.

Step-by-step explanation:

hope its help

thank you