What transformations occur for the following equation? *
y = 8(x - 1)3 + 7

Happy Pride Month!

Answer:

a≈13.27

Step-by-step explanation:

Context for variables

a= Side legth

A=Area

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

5^3 = 125

so 5^-3 = 1/125

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

Rewriting 1/125 as 1/5^3 = 5^-3

5^a = 5^-3

a = -3

Answer:

Angle afe.

Step-by-step explanation:

See the attached image.  It shows a pair of vertical angles, one of which is angle cfd.  The angle vertical to angle cfd MUST include the vertex f, but must NOT have either point c or d on it.

The Frisbee following a parabolic path will take  8.5 seconds to hit the ground.

Given that:

h(t) = â€" 0.07t2 - 0.007t - 5

The given equation is the parabolic equation showing the path traced by the frisbee. from the equation

h = height from ground

t = time consumed in seconds

time it takes to hit the ground will be at h = 0.  we therefore solve as follows:

h(t) = â€" 0.07t2 - 0.007t - 5

0 = 0.07t2 + 0.007t + 5

\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)

\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)

\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)

=8.5 or -8.5 seconds

≅ 8.5 seconds

We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.

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The determinant of the given matrix is 195.

\(\[\textbf{Given Matrix:}\begin{bmatrix}5 & 5 & -5 \\3 & 4 & -4 \\-2 & 3 & 5 \\\end{bmatrix}\]\\\)

\(\textbf{Row Reduction:}\)

Step 1: Replace \(R_2\) with \($R_2 - \frac{3}{5}R_1$:\)

\(\[\begin{bmatrix}5 & 5 & -5 \\0 & 7 & -1 \\-2 & 3 & 5 \\\end{bmatrix}\]\)

Step 2: Replace \(R_3\) with \(R_3 + \frac{2}{5}R_1$:\)

\(\[\begin{bmatrix}5 & 5 & -5 \\0 & 7 & -1 \\0 & 5 & 4 \\\end{bmatrix}\]\)

Step 3: Replace \(R_3\) with \(R_3 - \frac{5}{7}R_2$:\)

\(\[\begin{bmatrix}5 & 5 & -5 \\0 & 7 & -1 \\0 & 0 & \frac{39}{7} \\\end{bmatrix}\]\)

\(\textbf{Determinant Calculation:}\)

The determinant of the given matrix is the product of the diagonal elements:

\(\left(\begin{bmatrix} 5 & 5 & -5 \\ 3 & 4 & -4 \\ -2 & 3 & 5 \end{bmatrix}\right) = 5 \cdot 7 \cdot \frac{39}{7} = 195\)

Therefore, the determinant of the given matrix is 195.

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To find the cost of carpeting the entire living room floor of the cabin, we need to calculate the total square footage of the floor and then multiply it by the cost per square foot.

Assuming that the living room is rectangular with dimensions of 10 feet by 12 feet, the total square footage of the floor would be 120 square feet. Therefore, it would cost $180 to carpet the entire living room floor (120 square feet x $1.50 per square foot).

The cost of carpeting is typically calculated by the square foot, so we need to determine the total square footage of the living room floor to calculate the total cost of carpeting. In this case, we are given the dimensions of the living room, which we can use to calculate the total square footage of the floor by multiplying the length by the width.

Once we have the total square footage, we can multiply it by the cost per square foot, which includes the cost of installation, to find the total cost of carpeting the floor. Therefore, the cost of carpeting the entire living room floor of the cabin would be $180.

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The graph of s(x) = -6x + \(8x^2\) + 5x + 3 is concave up at the point with x-coordinate -1. Let us consider the second derivative.

To determine the concavity of a function at a specific point, we need to analyze the second derivative of the function. If the second derivative is positive, the graph is concave up, and if it is negative, the graph is concave down.

Given s(x) = -6x + \(8x^2\) + 5x + 3, let's find the second derivative:

s'(x) = -6 + 16x + 5

s''(x) = 16

The second derivative is a constant, 16, which is positive. Since it is always positive, the graph of s(x) is concave up for all values of x. Therefore, at the point with x-coordinate -1, the graph is also concave up.

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Answer:

This means each team has exactly 15 players.

Step-by-step explanation:

Six teams are out on the field playing soccer.

Number of Teams = 6

The teams all have the same number of players.

Let number of players = x

Total number of players = 6x

The head coach asks for 2 players from each team to come help him move some equipment.

This meas we subtract 2 from every team. Since there are 6 teams, total number of players to be subtracted = 12

Number of players left = 6x - 12

NOW there are 78 players on the field.

This means;

78 = 6x - 12

6x = 12 + 78 = 90

x = 90 / 6 = 15

This means each team has exactly 15 players.

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15

The transmission speed of the circuit cannot be calculated without knowing the number of channels. The formula requires the number of channels in addition to the number of samples per second and the number of bits per sample.

We can use the following formula to calculate the transmission speed of the circuit.

Bandwidth = (Number of samples per second) × (Number of bits per sample)

Transmission speed = Bandwidth × Number of channels.

The given number of bits per sample is 16 and the number of samples taken each second is 8000.

Transmission speed = Bandwidth × Number of channels

Transmission speed = (Number of samples per second) × (Number of bits per sample) × Number of channels

The transmission speed on the circuit is calculated by multiplying the number of samples per second by the number of bits per sample and the number of channels.

However, the number of channels is not provided. So, we cannot calculate the transmission speed of the circuit.

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Answer: fiber

Step-by-step explanation:

excessive consumption may lead to diarrhea, too less may result in constipation, heart disease and sometimes cancer

Answer:

umm let me see

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

81= 1,3,9,27,81

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,72

9 is the most common so GCF will be 9.

Answer:

See below.

Step-by-step explanation:

81 - 1,3,9,27,81

72 - 1,2,3,4,6,8,9,12,18,24,36,72

The GCF is 9.

-hope it helps

year's

this year´s profit is $ 472857

Explanation

we can easily solve this by using a rule of three

so

Step 1

a)let x represents this year's profit

so

if it is decreases by 2.1 %

so, this year's profit is 97.9% of the last year profit

hence

we can make a proportion

finally, solve for x,

therefore

this year´s profit is $ 472857

I hope this helps you

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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Answer:

p=19

Step-by-step explanation:

since the instructions say that (\(x^{13}\))(\(x^{6}\)) is equivalent to \(x^{p}\), we can make the equation:

(\(x^{13}\))(\(x^{6}\))=\(x^{p}\)

now, apply the laws of exponents; \(a^{m} * a^{n} =a^{m+n}\)

in that case, since we're multiplying x to the 13th power by x to the 6th, the result is \(x^{13+6}\), which is \(x^{19}\)

the equation now:

\(x^{19}\)=\(x^{p}\)

since the exponents are at the same base, we can solve the equation

19=p

so p is 19

hope this helps :)

The correct option is a b c d.

fd = 2,809

We need to round the given answers to the nearest hundredth.

a. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

b. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

c. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

d. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

Therefore, the correct option is a b c d.

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Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Henry scored 85, 76, 84, and 69, and let's suppose he scored 'x' marks in the fifth exam.

Average = sum of all marks/total number of exams

  80 =(85 + 76 + 84 + 69 + x)/5

 80 = 314 + x/5

 80 * 5 = 314 + x

 400 = 314 + x

  x = 400 - 314

  x = 86

Hence, Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

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When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

the domain of the function is all real numbers less than or equal to 0

Answer:

a=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Step 1: Write out your equation

3a=a+36

Step 2: Subtract a on both sides

2a=36

Step 3: Divide by 2 on both sides

a=18

Hope I helped

Answer:

-14/11

Step-by-step explanation:

when dividing a fraction, you flip the second fraction and turn the division sign into multiplication

so now you have -4/11 x 7/2

4 is divisible by 2 so you have: -2/11 x 7/1

now multiply -2 with 7 and 11 with 1: -14/11

the answer is:∑ᵏ_(₁=₁)^n {aₖ} = ∑ᵏ_(₁=₁)^₁⁵¹ {6k - 4}, where a = 2 and d = 6.

Given series:2 + 8 + 14 + ... + 896 + 902The general term of the given series is given by:aₖ = a + (k - 1)dwhere a = 2 (first term), d = 6 (common difference)Now we have to find the value of n. To do that we need to find the last term of the given series and it is 902.The last term is given by the formula:aₙ = a + (n - 1)d ⇒ 902 = 2 + (n - 1)6Simplifying the above equation, we get:n = 151The series can be written as:2 + 8 + 14 + ... + 896 + 902= ∑ᵏ_(₁=₁)^₁⁵¹ {2 + (k - 1)6}= ∑ᵏ_(₁=₁)^₁⁵¹ {6k - 4}.

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Answer:

In this algebraic expression, "Negative x" represents a term with a coefficient of -1, and "x" represents a variable. "10.2" represents a constant term. The "+" sign represents addition.

Step-by-step explanation:

"minus one-half x" represents a term with a coefficient of -0.5 and variable "x". "+ y" represents a term with variable "y" and a coefficient of 1.

Simplifying the expression by combining like terms:

-x - 0.5x = -1.5x

Negative x + 10.2 - one-half x + y = 10.2 - 1.5x + y

Expressions Between X+5 and X-3

Answer:

The answer is 1.

Since the numbers are the same all you have to do is add the powers together. 5 plus -5 is 0. So, 5 to the power of 0 is 1.

Step-by-step explanation:

Hope it helps! =D

Answer:

1

Step-by-step explanation:

using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\) , and \(a^{0}\) = 1 , then

\(5^{5}\) × \(5^{-5}\) = \(5^{(5-5)}\) = \(5^{0}\) = 1