the sum of a negative seventeen plus double a number equals sixty minus a number

The equation of the quadratic function is f(x) = (x + 5)² - 2

A quadratic function is a second-degree polynomial function of one variable, which can be written in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

From the question, we have the table of values which represents a quadratic function f(x).

A quadratic equation is represented as

f(x) = a(x - h)² + k

Where, Vertex = (h, k)

If we plot the graph according to the given table, the vertex will be,

(h, k) = (-5, -2)

Substitute, (h, k) = (-5, -2) in f(x) = a(x - h)² + k

So, we have, f(x) = a(x + 5)² - 2

Also, from the graph, we have the point (0, 23)

This means that

a(0 + 5)² - 2 = 23

25a = 25

a = 1

Substitute a = 1 in f(x) = a(x + 5)² - 2

f(x) = (x + 5)² - 2

Hence, the equation is f(x) = (x + 5)² - 2

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Answer:When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Step-by-step explanation:

Answer:It is negative + x - = -

Step-by-step explanation:

Given:

The radius of the cylinder is 6 feet.

The height of the cylinder is 10feet.

To find the volume of the cylinder:

The formula of volume of the cylinder is,

Hence, the volume of the cylinder is 1130.4 cubic ft.

Therefore, the correct option is D.

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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There are 2940 no votes.

From the question, we have

there were 8085 total votes

ratio= 7 :4

No votes = 4/11*8085

=2940

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer: Their present age is 12 and 16.

Step-by-step explanation:

Let the required age be 3x and 4x

so

(3x+4)/(4x+4) = 4/5

5(3x+4) = 4(4x+4)

or, 15x + 20 = 16x + 16

or, 15x - 16x = 16-20

or, -x = -4

so, x = 4

now,

3x = 3*4 = 12

4x = 4*4 = 16

The equation of a line is y = 5x - 6

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

The given points are (2, 4) and (-4, 6)

The equation of line is given ,

y = mx + b

where, m = slope

b = y - intercept

To find slope , we have formula

slope (m) = (y2 - y1) / (x2 - x1)

let, (x1, x2) = (2, 4) and

(y2, y1) = (-4, 6)

Now, put the values in slope formula,

m = ( 6 - (-4) ) / ( 4 - 2)

m = (6 + 4) / 2

m = 10 / 2

m = 5

We get slope, now find y-intercept i,e, 'b'

y = 5x + b

so take any point to find 'b'

Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.

4 = 5 * 2 + b

4 = 10 + b

b = 4 - 10

b = -6

so, now put the values of slope and y-intercept in equation of line i.e,        y = mx + b

y = 5x - 6

Hence, the equation of a line is y = 5x - 6

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The phase angle between the current and voltage in a pure resistive circuit is 0 radians.

How to determine the answer:In a pure resistive circuit, the phase angle between current and voltage is \(0\) radians.

This is because a pure resistive circuit has a voltage and a current in the same phase, which implies that the two are in phase.

To understand this, let's look at the two main parts of the question: a pure resistive circuit and the phase angle between current and voltage.

A pure resistive circuit is a circuit in which the only element is a resistor.

This means that the circuit does not contain any inductors or capacitors and, as a result, does not have any phase shift in the current or voltage.

The phase angle between current and voltage is the angle between the current and voltage waveforms in a circuit.

The angle is measured in radians and is positive for capacitive circuits and negative for inductive circuits.

In conclusion, the phase angle between current and voltage in a pure resistive circuit is \(0\) radians.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

126 cupcakes

Step-by-step explanation:

75 is equal to 94.5%

and if it was 127 cupcakes it would be 95.25%

but it would most likely have to be under 95%

so it would be 126 cupcakes

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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if the diagram is 5 x 12 x 9 yards

then multiply all 3 numbers

then its 540 cubic yards

then its 134 ÷ 540 which = 0.2481481481

so the answer is .25

Answer:

the number of bracelets made and the number of necklaces made is 13 and 6 respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the number of bracelets be x

And, the number of necklaces be y

now the equations are

5x + 20y = 185

Since the total number of bracelets is given i.e. 13

So

5(13) + 20y = 185

65 + 20y = 185

20y = 185 - 65

y = 120

y = 6

Hence, the number of bracelets made and the number of necklaces made is 13 and 6 respectively

Answer:

Step-by-step explanation:

V = 64

a = ∛V = ∛ 64 = 8

Sum = 12·a = 12·8 = 48

Answer:

it is linear bud

Step-by-step explanation:

NO LINKS!!!!!!!!! please solve it and explain it.

Answer:

it is linear

Step-by-step explanation:

Answer:

wait first of all where did they put grandma?

The volume of the sphere, in this case, is approximately 5378.24 cubic inches.

To find the volume of a sphere, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius of the sphere.

In this case, you mentioned that the radius of the disco ball is 16 inches. To calculate the volume, we substitute this value into the formula:

V = (4/3) * π * (16)^3

First, let's calculate the value of (16)^3:

(16)^3 = 16 * 16 * 16 = 4096

Now, we can substitute the values into the formula:

V = (4/3) * 3.14 * 4096

Simplifying further:

V = (4/3) * 3.14 * 4096

V = 5378.24

Thus, the answer is approximately 5378.24 cubic inches.

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Yes, irrational numbers such as π are included in the domain of the function f(x) = 7.

The domain of a function is the set of all possible input values (x) for which the function is defined. In the case of the function f(x) = 7, the output value (y) is always equal to 7, regardless of the input value.

Since every real number, including irrational numbers like π, can be an input value for f(x) = 7, the domain of this function is the set of all real numbers, which includes both rational and irrational numbers. Therefore, π is included in the domain of the function f(x) = 7.

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Answer:

5/6

Step-by-step explanation:

The solution of the given fraction is 5/6.

Given that:

Fraction: divided 2/3 by 4/5

To calculate the division of fractions, simply need to multiply the first fraction by the reciprocal of the second fraction.

\(\dfrac{2/3}{4/5} =\dfrac{2}{3} \times \dfrac{5}{4}\\\dfrac{2/3}{4/5} =\dfrac{(2 \times5)}{(3 \times4) }\\\dfrac{2/3}{4/5} =10 / 12\)

To simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 2:

10 / 12 = 5 / 6

So, 2/3 divided by 4/5 is equal to 5/6.

Hence, the required result is 5/6.

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The period of the given degree-4 LFSR with the polynomial p(x) = x^4 + x^2 + 1 and the seed (s3, s2, s1, s0) = 0110 is 15.

A Linear Feedback Shift Register (LFSR) is a deterministic algorithm that generates a pseudo-random sequence of numbers based on a polynomial function and an initial seed. The period of an LFSR is the length of the generated sequence before it repeats itself. In this case, the polynomial is p(x) = x^4 + x^2 + 1, and the seed is (s3, s2, s1, s0) = 0110. To find the period, we iterate through the LFSR sequence and count the steps until the seed is repeated. In this specific case, after iterating 15 times, the seed (0110) is repeated.

Thus, given the degree-4 LFSR with polynomial p(x) = x^4 + x^2 + 1 and seed (s3, s2, s1, s0) = 0110, the period of the generated sequence is 15.

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When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the rotation of a figure about a given point.

The exterior angles of a regular hexagon measures 60 degrees each, hence:

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

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Answer:

i don't know bbynnyjjyjjtjtnntnt

Answer:

72 seconds I think I am sorry if it is wrong

Answer:

C.12

Step-by-step explanation:

Just took the quiz

Answer:

11. 4

12. 2

13. 2

14. 2

15. 3

Step-by-step explanation:

Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.

To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.

11.

4x³y has degree 4

3x²y² has degree 4

-y³ has degree 3

The highets degree of all terms is 4, so the degree of the polynomial is 4.

12.

a has degree 1

b has degree 1

-c² has degree 2

The degree of the polynomial is 2.

13.

The degrees of the terms are, in order, 2, 2, 2.

The degree of the polynomial is 2.

14.

The degrees of the terms are, in order, 1, 2, 1.

The degree of the polynomial is 2.

15.

The degrees of the terms are, in order, 3, 2, 1.

The degree of the polynomial is 3.