The perimeter of a regular pentagon is five times the length of each side?

Answer:

629 inches are in 16 meters

Answer:

Multiply total meters by 100 to get total centimeters:

6 meters x 100 = 600 centimeters.

Now divide total centimeters by 2.554 to get total inches:

600 centimeters / 2.54 = 236.22 inches.

Rounded to the nearest inch = 236 inches.

Step-by-step explanation:hi

The speed of skaters was 10 km per hr.

Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.

Let the speed of the skater be x

We know, speed = \(\frac{Distance}{Time}\)

According to the question:

\(\frac{20}{x} = \frac{40}{x + 10}\)

Cross multiplying both sides,

20(x+10) = 40x

20x + 200 = 40x

20x = 200

x = 10

Thus, the speed of skaters was 10 km per hr.

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The required polynomial is given as \(4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2\).

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
According to the question,
\(=(6xy^2+4x^2y+7xy+8)(2/3x^3y^2)\\= 4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2\)

Thus, the required polynomial is given as \(4x^4y^4 + 8/3x^5y^4 + 14/3x^4y^3 + 16/3x^3y^2\).

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The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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The area bounded by x = 0, y = x - 2, and y = √x is option (b) 7.

To find the area bounded by the curves, we need to determine the points of intersection between them. Setting y = x - 2 and y = √x equal to each other, we can solve for x. By solving the equation x - 2 = √x, we find that x = 4.

The area bounded by the curves can be found by taking the integral of the difference between the upper and lower curves with respect to x, within the limits of x = 0 to x = 4. Evaluating this integral gives us the area, which in this case is 7.

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The graph of the linear equation 3x + 6y = 18 is a straight line passing through the points (6, 0) and (0, 3), with the x-intercept at (6, 0) and the y-intercept at (0, 3).

The given linear equation is 3x + 6y = 18.

To sketch the graph, we need to find the x-intercept and y-intercept, if they exist.

To find the x-intercept, we set y = 0 and solve for x:

3x + 6(0) = 18

3x = 18

x = 6

So, the x-intercept is (6, 0).

To find the y-intercept, we set x = 0 and solve for y:

3(0) + 6y = 18

6y = 18

y = 3

So, the y-intercept is (0, 3).

Now, let's plot the points (6, 0) and (0, 3) on a coordinate plane.

The x-axis represents the values of x, and the y-axis represents the values of y.

We can label the axes accordingly.

The x-intercept is at (6, 0), and the y-intercept is at (0, 3).

Since the equation is linear, we can draw a straight line passing through these two points.

By connecting the x-intercept and y-intercept with a straight line, we obtain the graph of the linear equation 3x + 6y = 18.

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Henry will make $115 in 5 hours

Henry made $207 in 9 hours

The first step is to calculate the amount the Henry will make in 1 hour

207= 9

x= 1

cross multiply both sides

9x= 207

x= 207/9

x= 23

The amount made in 5 hours can be calculated as follows

$23= 1 hour

y= 5 hours

cross multiply

y= 23 × 5

y= 115

Hence Henry will make $115 in 5 hours

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Answer:

no

yes

yes

no

no

yes

Step-by-step explanation:

a prime number cant be devided by any thing other than itself or one

Answer:

Step-by-step explanation:

Is 2 is 3 is 11 is 18 is 20 is 27

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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The critical values are χ2l=8.230 and χ2r=27.587.

To find the critical values χ2l and χ2r that correspond to a 90 degree of confidence and a sample size of n=19, we need to use a chi-squared distribution table. First, we need to find the degrees of freedom (df) which is equal to n-1, or 19-1=18.

Next, we need to find the area under the curve to the right of χ2α/2 and the left of χ21-α/2. Since our confidence level is 90%, we have α=0.10 and α/2=0.05.

Using the chi-squared distribution table with df=18, we can find that the area to the right of χ2α/2=27.587 is 0.05. Similarly, the area to the left of χ21-α/2=8.230 is also 0.05.

Therefore, our critical values are χ2l=8.230 and χ2r=27.587. This means that if our calculated chi-squared value falls outside of this range, we can reject the null hypothesis with 90% confidence.

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The rule for the nth term of the geometric sequence is given as follows:

\(a_n = 2^n\)

Hence the 10th term of the sequence is given as follows:

1024.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_0q^{n}\)

In which \(a_0\) is the first term.

The parameters in this problem are given as follows:

Hence the rule is given as follows:

\(a_n = 2^n\)

Hence the 10th term of the sequence is given as follows:

2^10 = 1024.

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Answer:

-3

Step-by-step explanation:

Answer:

360 ft

Step-by-step explanation:

to find the total distance between the bases, you would multiply 90 by 4!

if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!

At Game 7, the attendance for the basketball team had declined by 5% x 6 games = 30% and This means that the attendance at Game 7 was 23,500 x (1 - 0.3) = 16,450 people.

The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. This means that for every game, the attendance dropped by 5% in comparison to the attendance of the game before it.

15 games were played in the season and 23,500 people were at the first game. To calculate the attendance at Game 7, we first need to calculate the total amount that the attendance had declined by by the 7th game.

This can be done by multiplying the rate of decline (5%) by the number of games that had passed (6 games). This gives us a total decline of 30%. We then need to calculate the attendance at Game 7 by subtracting the total decline from the initial attendance.

This can be done by multiplying the initial attendance (23,500) by (1 - 0.3), which gives us 16,450 people. Therefore, the attendance at Game 7 was 16,450 people.

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Answer:

The answer to this question is C

\(y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 \)

Answer:

  3(x-8)(x+5)

Step-by-step explanation:

You want to factor the quadratic 3x² -9x -120.

Each of the coefficients is divisible by 3, so that is the first thing we can factor out:

  = 3(x² -3x -40)

To factor the quadratic, we need factors of -40 that have a sum of -3.

  -40 = -40(1) = -20(2) = -10(4) = -8(5)

The last of these factor pairs have a sum of -3, so the factorization is ...

  = 3(x -8)(x +5)

__

Additional comment

The product of factors (x+a) and (x+b) is ...

  (x +a)(x +b) = x² +ax +bx +ab = x² +(a+b)x +ab

This is why we're looking for factors of -40 = ab, that have the sum (a+b) = -3.

Answer:

35√(7)

Step-by-step explanation:

I think if it's wrong I'm sorry

The location of vertex M after the dilation by a factor of 1/4 is at (-4, 3)

Dilation is a way of moving an object from a point on a plane to another location.

From the diagram attached, the coordinate of the vertex Q is at (-8, -8).

If the vertex Q after the dilation is (-2,-2), this means that the original coordinate is dilated by a factor of 1/4.

The vertex of coordinate M from the diagram is (-16, 12). Dilating the coordinate using a scale factor of 1/4 will give;

M' = (-16/4, 12/4) = (-4, 3)

Hence the location of vertex M after the dilation is at (-4, 3)

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D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

49

Step-by-step explanation:

No she is not correct because we dont have only one angle angle G is 90.

So we can easily find the angle D

180-(90+41) =49

Answer:

dbc

Step-by-step explanation:

thats the only one that is obtuse

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The interest over 5 years is $80.

The correct option is B.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:

40 = P(0.10)(5)

Simplifying:

40 = 0.5P

Dividing both sides by 0.5:

P = 80

Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.

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The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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The t-critical values for a two-tailed test, for a significance level of α=0.05 , tc​=−2.035  and  tc​=2.035

What is the standard deviation?

a) H0: μ = 32 vs. Ha: μ ≠ 32  

Null hypothesis states that the average age of the customers is 32 years.

(b) n= 34

sample mean = 35.7

standard error = 1.631

SE = s/√n

1.671 = s/√34

s= 9.5103

Assuming that the data is normally distributed. Also since the Sample size is small and population deviation is not given, we calculate t statistics.  

  t = 35.7 - 32/9.5103 - √34

 t = 2.2685

The t-critical values for a two-tailed test, for a significance level of α=0.05

tc​=−2.035  and  tc​=2.035

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The estimated daily cost of increasing production to 42 televisions is $3717. Therefore, the closest answer choice is B) $3919.

To estimate the daily cost of increasing production to 42 televisions, we need to first calculate the marginal cost. The marginal cost is the derivative of the cost function:

\(C'(x) = -0.009x^2 + 0.2x + 71\)

We can then evaluate the marginal cost at x=40 to find the cost of producing one additional television:

\(C'(40) = -0.009(40)^2 + 0.2(40) + 71 = $33.40\)

This means that the cost of producing one additional television when 40 are already being produced is $33.40. To estimate the daily cost of increasing production to 42 televisions, we can multiply the marginal cost by 2 (since we want to produce 2 additional televisions):

\(2*$33.40 = $66.80\)

Finally, we can add this estimated cost to the current cost of producing 40 televisions:

\(C(40) = -0.003(40)^3 + 0.1(40)^2 + 71(40) + 540 = $3650\)

$3650 + $66.80 = $3716.80

Rounding to the nearest dollar, the estimated daily cost of increasing production to 42 televisions is $3717. Therefore, the closest answer choice is B) $3919.

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Answer:

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

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

Using the distance formula, the distance, to the nearest whole mile, between the two airports is: B. 1,304 miles.

The distance formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

Given the following locations:

P(1,17) = (x1, y1)

Q(12,10) = (x2, y2)

Use the distance formula to find the PQ:

PQ = √[(12−1)² + (10−17)²]

PQ = √[(11)² + (−7)²]

PQ = √170

PQ ≈ 13.04 units

1 unit = 100 miles

PQ = 13.04 × 100

PQ = 1,304 mils

Thus, using the distance formula, the distance, to the nearest whole mile, between the two airports is: B. 1,304 miles.

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Answer: B. 1,304 miles.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form. The value of x for which the given matrix is singular is `19 ± 2√190`.

Given matrix is, A =  [-x  9;  -7  x - 38]

We have to find the value of x for which the given matrix is singular. A matrix is singular if its determinant is zero. Therefore, the determinant of the given matrix must be zero for it to be singular. \(|A| = (-x * (x-38)) - (9 * (-7))|A|\)

\(= -x² + 38x + 63\).

Now, the determinant of the matrix A must be zero as it is a singular matrix. |A| = -x² + 38x + 63

= 0

=> x² - 38x - 63

= 0On solving the quadratic equation, we get; \(x = \frac{38 \pm \sqrt{(-38)^2 - 4(1)(-63)}}{2(1)}\)\(x = 19 \pm 2\sqrt{190}\).

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