Use this expression to name each item. 7m3 + 6r2 – 3r - 8

Answer:

See below

Step-by-step explanation:

Given function

We can find its factors:

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3 from point D′ map quadrilateral ABCD onto EFGH.

The properties of quadrilaterals are;

From the information given, we can see that;

ABCD and EFGH are similar because a translation of (x + 1, y + 3) and a dilation by the scale factor of 3

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The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.

To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.

Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).

The formula for sine is:

sin(angle) = opposite / hypotenuse

Rearranging the formula, we have:

hypotenuse = opposite / sin(angle)

In this case, the opposite side is the vertical distance, which is h.

So, the formula becomes:

hypotenuse = h / sin(angle)

To find h, we can use the formula for the length of the zip wire:

h = 25 * tan(angle)

Substituting this into the previous formula, we get:

hypotenuse = (25 * tan(angle)) / sin(angle)

Calculating the value, we have:

hypotenuse = (25 * tan(10°)) / sin(10°)

Using a calculator, we find:

tan(10°) ≈ 0.1763

sin(10°) ≈ 0.1736

Substituting these values, we can calculate the length of the zip wire:

hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters

Therefore, the length of the zip wire is approximately 25.35 meters.

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Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.  

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

correct answers:87

so do 87x4=348

46*7=322

do this because he got some incorrect

348-322=26

so her score is 26

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

I think 164

Step-by-step explanation:

1312/8

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

\(n_1 = 25\)

\(n_2 = 21\)

\(s_1 = 0.98\)

\(s_2 = 1.02\)

\(\alpha = 0.02\)

Required

Determine if here is enough evidence

First, we need to state the hypotheses

\(H_o: \sigma_1^2 = \sigma_2^2\)

\(H_1: \sigma_1^2 \ne \sigma_2^2\)

Next, calculate the test statistic using:

\(F = \frac{s_1^2}{s_2^2}\)

\(F = \frac{0.98^2}{1.02^2}\)

\(F = 0.923\)

Calculate the rejection region;

But first, calculate the degrees of freedom

\(df_1 =n_1 - 1\)

\(df_1 =25 - 1\)

\(df_1 =24\)

\(df_2 = n_2 -1\)

\(df_2 = 21 - 1\)

\(df_2 = 20\)

Using the F Distribution:  table

\(c = \frac{\alpha}{2}\)

\(c = \frac{0.02}{2}\)

\(c = 0.01\)

At 0.01 level (check row 20 and column 24), the critical value is:

\(f_{0.01,24,20} = 2.86\) --- the upper bound

At 0.01 level (check row 24 and column 20), the critical value is:

\(f_{0.01,20,24} = 2.74\)

Calculate the inverse F distribution.

\(f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365\) ---- the lower bound

The rejection region is then represented as:

\(0.365 < Test\ Statistic < 2.86\)

If the test statistic falls within this region, then the null hypothesis is rejected

\(F = 0.923\) --- Test Statistic

\(0.365 < 0.923 < 2.86\)

The above inequality is true; so, the null hypothesis is rejected.

This implies that, there is no sufficient evidence.

Answer:

$ 481.50

Step-by-step explanation:

Discount:

    Discount = 25% of retail price of TV

                    = 0.25 * 600

                    = $ 150

   Price after discount = Retail price - discount

                                     = 600 - 150

                                     = $ 450

Tax:

Tax = 7% of 450

        = 0.07 * 450

        = $ 31.50

Amount to be paid:

Amount needs to be paid = price after discount +  tax

                                           = 450 + 31.50

                                            = $ 481.50

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

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Answer:

a=904

b=167

c =2261 over 3 so it will be recurring 753.6667

d=967.333

e=401.75

f=796.875

Answer: SMART Goals

Step-by-step explanation:

Smart goals are in abbreviation of specific, measurable, achievable, realistic, and timely. This helped me choose my career because I use my career as a goal .

Answer:

165.

~

Sorry, I can't really show you how I divided it on pc- ¯\_(ツ)_/¯

Answer:

5775/35= 165

Hope it helps

Answer:

I can not see the picture clearly please retake the picture

Answer && Step-by-step explanation:

We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)

choosing A.

plug in values of -x to see if you can get ~= to graph so -5 to -1

x: -5, -4, -3, -2, -1

y: -2, -.25, 0, .25, 2

checks out., A is your answer

The equation for f(x) is F(x) = 1/4(x+3)²

Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,

We know f(x) transformed towards x-axis.

We see that, there is a left shift of 3 units, so the function will be (x+3)³

Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³

Hence, the equation for f(x) is F(x) = 1/4(x+3)²

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Answer:

is part 1 and part 3 the same, no

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

The maximum area of the rectangle is A = 9 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the function for area be f ( x )

where f ( x ) = - ( x - 3 )² + 9

Let the width of the rectangle be W.

The perimeter of a rectangle is given by:

Perimeter = 2(length + width) = 12 units

12 = 2(x + width)

Simplifying this equation, we get:

6 = x + width

width = 6 - x

Now, the area of the rectangle is given by:

Area = Length x Width

Substituting the value of width in terms of x, we get:

Area = x(6 - x)

Area of rectangle A = 6x - x²

This is a quadratic function of x, which has a maximum value at the vertex of the parabola. The vertex of the parabola can be found by completing the square or by using the formula:

x = -b/(2a)

In this case, a = -1 and b = 6, so we have:

x = -6/(2(-1)) = 3

Therefore, the maximum area of the rectangle occurs when x = 3, and the value of the maximum area is:

Area of rectangle A = 3(6 - 3) = 9 square units

Hence , area of rectangle is A = 9 units²

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Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

-2.25

Step-by-step explanation:

x = -2.25

Answer:

  C.  x ≈ -2.25

Step-by-step explanation:

A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...

  x ≈ -2.25

______

Additional comment

To 11 significant digits, the solution is x ≈ −2.2116632512.

Answer:

A. 1/10

Step-by-step explanation:

Step 1: Parenthesis

1/10(3²) - 4/5

Step 2: Exponents

1/10(9) - 4/5

Step 3: Multiply

9/10 - 4/5

Step 4: Conversion

9/10 - 8/10

Step 5: Subtract

1/10

Answer:

Step-by-step explanation:

1) write down the equation:

(1/5 - 1/10)*3^2 - 4/5

2) common denominators:

(2/10 - 1/10)*9 - 8/10

3) combine the fractions with like denominators:

(1/10)*9 - 8/10

4) multiply out the parenthesis:

9/10 - 8/10

5) combine the fractions with like denominators:

1/10

The answer is 1/10, which is A

Answer:

4:42

Step-by-step explanation:

Every time the difference between the times increases by 2, with 21 being the initial difference.

So we have the formula \(21+2n\) for the difference.

The next term in the sequence will be the 6th term, so the differnce will be 21+12 = 33.

33 minutes before 5:15 is 4:42

Least number of uniform = 45

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

Given,

Curtis wears a uniform number that rounds to 50 to the nearest ten and 0 to the nearest hundred.

Whole numbers, that can be rounded to 50 to the nearest ten are

45, 46, 47, 48, 49, 50, 51, 52, 53, 54

Smallest number is 45

Hence, 45 is the least uniform number Curtis can have.

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The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

9.5ft is the answer

Answer:

9.5 ft.

Step-by-step explanation:

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

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

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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Answer:

i have no idea how to work this sorry!

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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