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Answer:

-32

Step-by-step explanation:

To find w(-7) we have to substitute x with -7

w(x)=4x-4

w(x = -7) = 4(-7) -4

w(-7) = -28-4

w(-7) = -32

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

Let g(x) = 25

25= -2/3x+5

Subtract 5 from each side

25-5= -2/3x+5-5

20 = -2/3x

Multiply each side by -3/2

-3/2 * 20 = -3/2 * -2/3 x

-30 = x

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

25 = -2/3x + 5

20 = -2/3x

x = -30

Answer:

35/5=7 if thats the question?

Step-by-step explanation:

Answer:

she can play 7 games

Step-by-step explanation:

because of you take 35 and divide it by 5you get 7

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Answer:

s : m : l

2u : 3u : 7u

small bag=15kg

medium bag=22.5kg

large bag=52.5kg

Answer:

1. " Fools Gold" by One Direction.

2. " Rain" by Kid Kudi.

3. " Lover to Lover" by Florence + the Machine.

4. " All Too Well" by Taylor Swift.

5. " Tomorrow Is Today" by Billy Joel.

6. " 5 Year Plan" by Chance the Rapper.

7. “ Tenerife Sea” by Ed Sheeran.

8. "

Step-by-step explanation:

Answer:

The correct answer is:  ( x - 7) ( x + 2)

Step-by-step explanation:

Your answer is incorrect.

Answer:

for the seniors, the answer is $12, and for the children, the answer is 8.

Step-by-step explanation:

Answer:

6+18x

Step-by-step explanation:

You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x

Answer:

Step-by-step explanation:

if were trying to simplify it it would be 6+18x

Answer:

m < 2 = 49°

m < 4 = 49°

Step-by-step explanation:

Given that m < 5 = 131°:

< 3 and < 5 are Alternate interior angles, which are angles that do not have a common vertex on alternate sides of the transversal. These angles have the same measure. Therefore, m < 3 = 131°.

Angles < 2 and < 3 are supplementary angles, in which their measures have a sum of 180°. Therefore, to find the measure of angle 2, we can establish the following formula:

m < 2 + m < 3 = 180°

Subtract - m < 3 from both sides to isolate m < 2:

m < 2 + m < 3 - m < 3 = 180°- m < 3

m < 2 = 180°- m < 3

Next, plug in the value of m < 3 into the equation:

m < 2 = 180°- m < 3

m < 2 = 180°- 131°

m < 2 = 49°

Next, m < 2 and m < 4 are vertical angles. Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent. Since m < 2 = 49°, then m < 4 must also be 49°.

Therefore, m < 2 = 49° and m < 4 = 49°

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Answer:

Term

Step-by-step explanation:

When you consider the amount of coverage you can get for your premium dollars, term life insurance tends to be the least expensive option for life insurance.

Answer:

term

Step-by-step explanation:

The two consecutive integer numbers are 11 and 12, and the inequality is:

11 < √134  < 12

Here we just need to find two integers x and y, such that:

x^2 < 134

134 < y^2

Such that x and y are also consecutive, so y = x + 1.

Then we can write the inequality:

x < √134 < y

The numbers are:

11*11 = 121 (the smaller integer)

12*12 = 144 (the larger integer).

Then the complete inequality is:

11 < √134  < 12

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a) To find the average rate of change of the function \(\(f(x) = 3x^3 + 3\)\) over the interval \(\([5, 7]\)\), we need to calculate the change in the function's values and divide it by the change in \(\(x\)\) values.

The change in \(\(f(x)\)\) over the interval \(\([5, 7]\) is \(f(7) - f(5)\)\), and the change in \(\(x\)\) values is \(\(7 - 5\).\)

Calculating the values:

\(\(f(7) = 3(7)^3 + 3 = 147 + 3 = 150\)\\\\\f(5) = 3(5)^3 + 3 = 375 + 3 = 378\)\)

Therefore, the change in \(\(f(x)\)\) over the interval is \(\(f(7) - f(5) = 150 - 378 = -228\),\) and the change in \(\(x\)\) values is \(\(7 - 5 = 2\).\)

The average rate of change of the function \(\(f(x) = 3x^3 + 3\)\) over the interval \(\([5, 7]\) is \(\frac{{-228}}{{2}} = -114\).\)

b) To find the average rate of change of the function \(\(f(x) = 3x^3 + 3\)\) over the interval \(\([-6, 6]\)\), we follow the same process as above.

The change in \(\(f(x)\)\) over the interval \(\([-6, 6]\) is \(f(6) - f(-6)\)\), and the change in \(\(x\)\) values is \(\(6 - (-6) = 12\).\)

Calculating the values:

\(\(f(6) = 3(6)^3 + 3 = 108 + 3 = 111\)\)

\(\(f(-6) = 3(-6)^3 + 3 = -108 + 3 = -105\)\)

Therefore, the change in \(\(f(x)\)\) over the interval is \(\(f(6) - f(-6) = 111 - (-105) = 216\).\)

The average rate of change of the function \(\(f(x) = 3x^3 + 3\)\) over the interval \(\([-6, 6]\) is \(\frac{{216}}{{12}} = 18\).\)

Hence, the answers are:

a) The average rate of change over the interval \(\([5, 7]\) is \(-114\).\)

b) The average rate of change over the interval \(\([-6, 6]\) is \(18\).\)

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Answer:

Move all terms that don't contain  y  to the right side and solve.

y  =  3  +  4 x

Answer:

Yes, there is enough wrapping paper

The area of the wrapping paper is greater than area of the gift

Step-by-step explanation:

What to do is to check the area of the wrapping paper and the gift if equal.

Looking at the dimensions of the gift, it is a cuboid

Area of a cuboid = 2(lb + lh + bh)

where l, b and h are 50, 35,5 respectively

= 2(250 + 175 + 1750)

= 4350 cm^2

The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2

We can see clearly that the area of the wrapping paper is greater than area of the gift.

so we can conclude that it is enough to wrap the gift

Answer:

9

Step-by-step explanation:

It is a right angle triangle. Hypotenuse is 10, because it was 15 ft tall. 10 squared is 100. 5 squared is 25. 100 - 25 = 75. Sqrt 75 = 9

Answer:

Therefore, the product of 23.5 and 2.3 is 54.05.

Step-by-step explanation:

To determine the product of 23.5 and 2.3, we can use the following steps:

Align the numbers vertically with the ones digit of the second factor (2.3) under the tenths digit of the first factor (3 in 23.5).

   23.5

 x 2.3

 -----

Multiply the ones digit of the second factor by the first factor and write the result below, shifted one place to the right.

   23.5

 x 2.3

 -----

    71

Multiply the tenths digit of the second factor by the first factor and write the result below, shifted two places to the right.

   23.5

 x 2.3

 -----

    71

   470

Add the two partial products together.

   23.5

 x 2.3

 -----

    71

   470

 -----

   54.05

Therefore, the product of 23.5 and 2.3 is 54.05.

The value of the length of side HI of the right triangle is 46.40 cm.

In the given right angles triangle.

cos Ф = base / hypotenuse

cos 23.5° = HI/50.6

HI = 50.6* cos23.5°

HI = 46.40

Thus, the value of the length of side HI of the right triangle is 46.40 cm.

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Answer:

1.15x

Step-by-step explanation:

In the given question below, the price of a toy wants to sell for 15% more than the original amount.  1.15x would work because you are multiplying 15% more while other equations would show a decrease in its price.

Using mathematical operators, the value of x in the equations are -1/3, (2.39 or 0.71) and no solution respectively.

To determine the value of x in the equations, we need to use mathematical functions or operators;

1. 8 + 9x(x + 4) = (3x - 2)(3x + 2)

Open the brackets

8 + 9x² + 36x = 9x² + 6x - 6x - 4

Collect like terms

8 + 9x² + 36x - 9x² + 4 = 0

8 + 4 + 36x = 0

12 + 36x = 0

36x = -12

x = -12/36

x = -1/3

2. 2x(2x - 2) - 17 = (5x + 2x)(2x - 5)

Open the brackets;

4x² - 4x - 17 = 10x² - 25x + 4x² - 10x

collect like terms

14x² - 35x - 4x² - 4x + 17 = 0

10x² - 31x + 17 = 0

solving the quadratic equation;

x = 2.39 or x = 0.71

3. (2x + 1)(4x² - 2x + 1) = 4x(2x² - 5)

Open brackets;

8x³ - 4x² + 2x + 4x² - 2x + 1 = 8x³ - 20x

collect like terms

8x³ + 1 - 8x³ + 20 = 0

21 = 0

The equation has no solution

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Given the following question:

The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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The series 7^n / 10^n, where n=3, diverges.

The formula for the sum of a geometric series is S = a(1-r^n)/(1-r), where a is the first term, r is the common ratio, and n is the number of terms. In this case, a=7, r=1/10, and n=3. Substituting these values into the formula gives S = 7(1-(1/10)^3)/(1-(1/10)) = 7(9991/10000)/(9/10) = 7991/9. This is not an integer, so the series diverges.

In general, a geometric series will diverge if the absolute value of the common ratio is greater than 1.

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To estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian couples, with 95% confidence and a margin of error of 1.5%.

We need to use the following formula to calculate the required sample size:n = (Z^2 * p * (1-p)) / E^2
Where:
- Z is the standard normal value corresponding to the desired level of confidence, which is 1.96 for 95% confidence.
- p is the estimated population proportion, which we don't know yet.
- E is the desired margin of error, which is 0.015 (1.5%).

Let's assume that p is 0.6, which means that we expect 60% of U.S. adults to support recognizing civil unions between gay or lesbian couples.

Plugging in the values:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.015^2
n = (3.8416 * 0.5 * 0.5) / 0.000225
n = 1.9208 / 0.000225
n = 8531.55556


Rounding up to the nearest integer, we need a sample size of 4,445 to be 95% confident that the obtained sample proportion will be within 1.5% of the population proportion. Therefore, the correct answer is 4,445.

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Answer: 4+4+1=9(e)

Step-by-step explanation: because in 4+4+1 .... the 4+1 at the end equals up to 5 so therefore the equation is basically 4+5=9 .

Answer: See explanation

Step-by-step explanation:

Your question wasn't well written but I saw an identical question so let me help out.

a. Jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax?

b. They actually pay $52.99. The additional $7 is a tip for the server. What percentage of the subtotal is the tip?

a. Subtotal = $42.00

Tax = $3.99

Percentage of subtotal that is sales tax will be:

= Sales tax/Subtotal × 100

= 3.99/42.00 × 100

= 9.5%

b. Tip = $7

Sub total = $42

The percentage of the subtotal that is the tip will be:

= Tip/Sub total × 100

= 7/42 × 100

= 16.67%

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table

m = \(\frac{5-4}{2-1}\) = \(\frac{1}{1}\) = 1

The line crosses the y- axis at (0, 3 ) → c = 3

y = x + 3 ← equation of line → A

The area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (3, 9), and the x-axis is 54.

The area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (3, 9), and the x-axis can be found by using the formula for the area of a triangle.

The first step is to find the equation of the tangent line at the point (3, 9). To do this, we can use the slope-point form of a line, which states that the equation of a line with slope m and point (x₀, y₀) is y - y₀ = m(x - x₀).

The slope of the parabola at (3, 9) is 6 (this can be calculated by taking the derivative of the function and evaluating it at x = 3). Thus, the equation of the tangent line is y - 9 = 6(x - 3).

We can then use the formula for the area of a triangle to calculate the area of the region. The formula states that the area of a triangle with side lengths a, b, and c is A = (1/2)bc⋅sinA.

In this problem, a = 3 (the distance between the points (3, 9) and (0, 0)), b = 9 (the distance between the points (0, 0) and (9, 0)), and c = 6 (the distance between the points (3, 9) and (9, 0)). Thus, the area of the region is A = (1/2)bc⋅sinA = (1/2) (9)(6)⋅sin30 = 54.

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