What is x if cos(15%) = x/5?
A. cos(15%)/5
B. cos(75°)
C. 5cos(15%)
D. cos(3⁰)

Answer:

Degree of the polynomial function = 5

Step-by-step explanation:

Since, the given graph of a polynomial has the x-intercepts at x = -2, -0.5, 0.5, 1.5, 3

Therefore, the equation of the polynomials with zero roots will be,

y = (x + 2)(x + 0.5)(x - 0.5)(x - 1.5)(x - 3)

When we solve this expression highest degree of the variable x will be 5.

Therefore, the possible degree of the polynomial function = 5

Answer:

i was going to screenshot the answer bc i got it right but its

"odd 5 degrees or greater" :)

hope all you guys are healthy and safe

Answer:

the 2nd one

Step-by-step explanation:

The probability that exactly one component meets specifications can be found by taking the product of the probabilities. Therefore, P(X = 1) ≈ 0.0019 (rounded to five decimal places).

The probability that a component meets specifications is given by: P(meets specifications) = p

Now, let X be the number of components that meet specifications. Since there are three mechanical components, X can take the values 0, 1, 2 or 3. Now, we need to determine P(X = 1).

The probability that exactly one component meets specifications can be found by taking the product of the probabilities that one component meets specifications and the other two do not meet specifications.

P(X = 1) = P(One component meets specifications)

= P(meets specifications) × P(does not meet specifications) × P(does not meet specifications) + P(does not meet specifications) × P(meets specifications) × P(does not meet specifications) + P(does not meet specifications) × P(does not meet specifications) × P(meets specifications) = p(1 − p)(1 − p) + (1 − p)p(1 − p) + (1 − p)(1 − p)p

= 3p(1 − p)2 = 3(0.95)(0.02)2 ≈ 0.0019

Therefore, P(X = 1) ≈ 0.0019 (rounded to five decimal places).

The above calculation shows that there is only a small probability that exactly one component will meet specifications.

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Answer:

2000 profit

Step-by-step explanation:

Profit= Selling Price (S.P)- Cost Price(C.P)

SP=26000

CP=24000

26000-24000=2000

Answer:

2000

Step-by-step explanation:

Answer:

x = 79

Step-by-step explanation:

Part A:

It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:

Part B:

Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

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Answer:

C is not 0.

\(\boxed{C=\dfrac{625}{24}}\)

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{625}{24}e^{5x} = \infty\)

Step-by-step explanation:

According to the L'Hospital's Rule, when we have an indetermination of the form

\(\dfrac{0}{0} \text{ or } \dfrac{\pm\infty}{\pm\infty}\)

So,

\(\[ \lim_{x\to\infty} \dfrac{f(x)}{g(x)} = \lim_{x\to\infty} \dfrac{f'(x)}{g'(x)} \]\)

In this question,

\(\dfrac{d}{dx}e^{5x}=5e^{5x}\)

\(\dfrac{d}{dx}x^{5}=5x^{4}\)

So,

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{e^{5x}}{x^4}\)

But it still in the indeterminate form, so we repeat the rule again.

\(\dfrac{d}{dx}e^{5x}=5e^{5x}\)

\(\dfrac{d}{dx}x^{4}=4x^{3}\)

So,

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{5e^{5x}}{4x^3}\)

But it still in the indeterminate form, so we repeat the rule again.

\(\dfrac{d}{dx}5e^{5x}=25e^{5x}\)

\(\dfrac{d}{dx}4x^{3}=12x^{2}\)

So,

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{25e^{5x}}{12x^2}\)

But it still in the indeterminate form, so we repeat the rule again.

\(\dfrac{d}{dx}25e^{5x}=125e^{5x}\)

\(\dfrac{d}{dx}12x^{2}=24x\)

So,

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{125e^{5x}}{24x}\)

But it still in the indeterminate form, so we repeat the rule again. I will be the last time.

\(\dfrac{d}{dx}125e^{5x}=625e^{5x}\)

\(\dfrac{d}{dx}24x=24\)

So,

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{625e^{5x}}{24}\)

Now we can evaluate the limit.

So, \(\boxed{C=\dfrac{625}{24}}\)

\(\lim_{x \to \infty} \dfrac{e^{5x}}{x^5} = \lim_{x \to \infty} \dfrac{625}{24}e^{5x} = \infty\)

Answer: 2 + 1 = 3      2 x 1 =2

Step-by-step explanation: + 7 = 7

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer: 2.8 minutes

Step-by-step explanation:

If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.

35 ÷ 12.5 = 2.8 minutes

Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.

hope this helps!

Answer:

A submarine descends at a rate of 2.6 kilometers per hour.

If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?

Round your answer to the nearest tenth. Enter your answer in the box.

answer:

2.4

hours

Step-by-step explanation:

The correct statements are,

⇒ Vertical reflection and translation.

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

We have to given that;

Triangles STU and S'T'U' are congruent.

Now, We know that;

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

And,  The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent. They've simply shifted in one or more directions.

Hence, The correct statement to Triangles STU and S'T'U' are congruent are,

⇒ Vertical reflection and translation.

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The volume of the solid is equal to V = π∫ab22dx.

To find the volume of the solid whose base is bounded by the equation x2 + y2 = 4 with semicircle cross sections taken perpendicular to the x-axis, use the formula V = π∫abr2dx, where 'r' is the radius of the semicircle cross sections.

Since the equation of the base is bounded by x2 + y2 = 4, the radius of the semicircle cross sections is equal to r = 2.

Therefore, the volume of the solid is equal to V = π∫ab22dx.

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The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.

This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.

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Answer:

2q=8

q=4

Step-by-step explanation:

hope that helped you

Answer:

8q + 1 = 6q + 9

2q + 1 = 9

2q = 8

q = 4

Answer:

(3,-2)

Step-by-step explanation:

I used a graphing calculator to get the solution, attached is what I got with the graphing calculator.

hope this helps.

If Alejandra spend p dollars for a souvenir and snacks then p+28 ≥ 50 is the inequality can be used to find the possible values for p

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Alejandra will spend a minimum of $50 at the circus, and the cost of a ticket is $28.

This means that the remaining amount that can be spent on souvenirs and snacks is p dollars.

Therefore, the inequality that can be used to find the possible values for p is:

p ≥ 50 - 28

Simplifying this inequality, we get:

p ≥ 22

Hence, p+28 ≥ 50 is the inequality can be used to find the possible values for p

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Answer:

24

Step-by-step explanation:

is the answer.

The first term is 138

The difference is 55

The iterative rule for the amount of money Mr Speas has after n weeks is

55/2 n² + 221/2 n

During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.

The first term will be 138 .

The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…

The difference = 193 - 138 = 55.

The iterative rule for the amount of money Mr Speas has after n weeks can be represented  below

n = number of weeks

a = first term = 138

d = common difference = 55

Using AP formula,

sₙ = n/2(2a + (n - 1)d)

sₙ = n/2 (2(138)+ (n - 1)55)

sₙ = n /2(276 + 55n -55)

sₙ = n /2(221 + 55n)

sₙ = 55/2 n² + 221/2 n

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X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

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The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer: $4.90 left

Step-by-step explanation:

He spent a total of $9.60 at the snack bar and the arcade. You need to just subtract this from the total he had to get $4.90 left.

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

Coastal plain

Step-by-step explanation:

Answer:

1. k = y/x

k = 17/0.5

k = 34

2. k = y/x

k = 34/1

k = 34

3. k = y/x

k = 51/1.5

k = 34

4. k = y/x

k = 68/2

k = 34

CREDITS:

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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Answer:

hello

Step-by-step explanation:

-7t-1=20

-7t=20+1

-7t=21

t=21÷(-7)

t=-3

-7×(-3)-1=20

have a great dayyyy

A poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. The dimensions that maximize the printed area are 500 cm x 23.52 cm.

The problem can be solved using the following concept:

Suppose we have a function f(x), then at the maximum/minimum point, it holds:

          f '(x) = 0

In the given problem, let:

q = length of the poster

p = width of the poster

Then,

p x q = 11760

or q = 11760/p

Let f(p,q) be the function of printed area, then:

f(p,q) = (p - 20)(q - 12)

f(p) = (p - 20) (11760/p - 12)

f(p) = -p² + 1000p - 980 x 20

At the maximum point:

f '(p) = 0

-2p + 1000 = 0

p = 500

Substitute p = 500 to get q:

q = 11760/p = 11760/500 = 23.52

Hence, the maximum printed area obtained if the dimensions are 500 cm x 23.52 cm

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The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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Answer:

The answer is x = 12 :)

Answer:

The solution is x = 12

Step-by-step explanation:

First, we need to group the like terms:

1/4x + 4 + 3 = 10

Next, we add the numbers 4 and 3 to get 7:

1/4x + 7 = 10

Then, we subtract 7 from both sides:

1/4x + 7 - 7 = 10 - 7

Next, we simplify:

1/4x = 3

Then, we multiply 4 to both sides:

4 * 1/4x = 3 * 4

Finally, we simplify:

x = 12

I hoped this helped you answer your question.

Answer/Step-by-step explanation:

\( \overline{AB} \parallel \overline{CD} \parallel \overline{EF} \) ----› Given

\( \angle 1 + \angle 2 = 180 \) ----› consecutive interior angles are supplementary

\( \angle 3 + \angle 4 = 180 \) ----› consecutive interior angles are supplementary

Therefore:

\( \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 \)