A parallelogram is formed by the supports that attach a basketball backboard and rim to the wall. The angles change as the basketball apparatus is taken out and put away Find m< BCD when m

Answer:

A

Step-by-step explanation:

to subtract a function from the other you just subtract the expressions of the functions from each other :

(f-g)(x) = (5x - 2) - (2x + 1) = 5x - 2 - 2x - 1 = 3x - 3

so, A is correct.

Heyo!

l believe the answer is D.

hopefully, this helps you!!!

idqfxemo~

The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.

Firstly, we calculate the future value (FV) of the loan in 4 years as follows:

FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45

Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:

M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)

Where:

M = Monthly payment = ?

r = monthly interest rate = 0.056 / 12 = 0.00466666666666667

n = number of months = 12 years * 12 months = 144

Substituting all the relevant values into equation (1), we have:

M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)

M = $97.22

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The function can be best modeled by a linear regression and the values of a, b and c are -6, 100 and 240, respectively

From the table, we have the following highlight:

Only linear functions behave in the above manner

Hence, the function can be best modeled by a linear regression.

A linear regression equation can be represented in the following ways

Start by entering the data in the table in a graphing calculator.

The calculation summary from the graphing calculator is as follows:

The regression equation is then represented as:

y = bx + a

Where:

b = SP/SSX = 231.49/3937.5 = 0.05879

a = MY - bMX = 4.58 - (0.06*37.5) = 2.37952

So, we have:

y = 0.05879x + 2.37952

Approximate

y = 0.06x + 2.4

Multiply through by 100

100y = 6x + 240

Rewrite as:

-6x + 100y = 240

Hence, the values of a, b and c are -6, 100 and 240, respectively

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Answer: [tex]y=2(x+2)[/tex]

Step-by-step explanation:

The slope of the line is

[tex]y=\frac{8-0}{2-(-2)}=\frac{8}{4}=2[/tex]

Using the point (-2, 0) to substitute into point-slope form, we get the equation to be [tex]\boxed{y=2(x+2)}[/tex]

Based on the relative frequency table that compares nonfiltered and filtered cigarettes, we can infer that cigarette filters are effective because they reduce larger tar amounts.

Tar (mg)                     Relative Frequency            Relative Frequency  

                                        (nonfiltered)                              (filtered)

6 - 11                                 0/ 25 = 0%                             1 / 25 = 4%

12 - 17                                0/ 25 = 0%                             1 / 25 = 4%

18 - 23                                2/ 25 = 8%                            5 / 25 = 20%

24 - 29                              1/ 25 = 4%                             18 / 25 = 72%

30 - 35                               13/ 25 = 52%                          0 / 25 = 0%

36 - 41                               6/ 25 = 24%                         0 / 25 = 0%

42 - 47                              3 / 25 = 12%                         0 / 25 = 0%

Total                                 25 / 25 = 100%                     25 / 25 = 100%

From the table, we can see that the unfiltered cigarette has higher tar amounts which means that cigarette filters are effective in reducing tar content.

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Answer: [tex]\frac{x^{2}}{3^{2}}+\frac{y^{2}}{5^{2}}=1[/tex]

Answer:

Answer of this question is.

three

Answer:

Two

Step-by-step explanation:

About 95% of an x value lies between

-2 and +2 standard deviation of the mean.

Answer:

Step-by-step explanation:

Equation

-5(-3x+1)=-45     If this is not correct, leave a comment please.

Solution

-5(-3x+1)=-45                     Divide by -5

-5(-3x + 1)/5 = -45/-5              

(-3x + 1) =  9                       Remove the brackets

-3x + 1 = 9                          Subtract 1 from both sides

-3x + 1 - 1 = 9 - 1                 Simplify

-3x = 8                               Divide by  -3

-3x/-3 = 8/-3

x = -8/3

or

x = -2.66

or

x = - 2 2/3

Answer:

700

Step-by-step explanation:

nidudcucbeucecbeceoc e

Answer:

10 to the power of 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet

Volume v = 1/3*a²h

inverse formula

8 = 1/3 * 2² * h

8 = 4 h /3

divide both the sides by 4

h = 6 feet

Answer:

3rd

Step-by-step explanation:

I think thats how u fill it

The equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points:

(3,1) and (-2,3)

The equation of the line passing through the points (3,1) and (-2,3)

[tex]\rm (y - 3) = \dfrac{3-1}{-2-3}(x+2)[/tex]

[tex]\rm (y - 3) = -\dfrac{2}{5}(x+2)[/tex]

5y - 15 = -2x - 4

2x + 5y = 11

Thus, the equation of the line is 2x + 5y = 11 hat passes through the points (3,1) and (-2,3)

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Answer:

p(A∩B) = 0.18

Step-by-step explanation:

Formula :

[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]

………………………………

⇒ p(A∩B) = p(B)×p(A/B)

⇒ p(A∩B) = 0.3 × 0.6

                = 0.18

At the time 4 PM will it be after they each have worked 4 shifts. Option E is correct.

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

Mashud and Iqbal are security guards at a top-secret federal vault. They each work 8-hour shifts, If Mashud begins his shift at 8 PM,

The time will it be after they each have worked 4 shifts;

8 PM + 8 hour =4 AM

4 AM + 8 hour = 12 PM

12 PM+ 8 hour =8 PM

8 PM + 8 hour = 4 PM

Hence,  option E  is correct.

They will each have worked four shifts by the time it is 8 PM.

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A. The expression for the total perimeter of the pool is 12x² + 15.

The expression for the total perimeter of the pool is calculated as follows;

P = 3L

where;

From the given options;

A. 12x² + 15

B. 20x² + 25

C. 12x² + 8x + 25

D. 24x² + 16x + 50

From option A, 3 is a common multiplier of 12 and 15

Perimeter = 3L = 3(4x² + 5)

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Answer:

Total = 116 cm²  

Step-by-step explanation:

Top-right rectangle:

area = length x width

        = 6cm x 2 cm

       = 12 cm²

Middle rectangle:

area = length x width

       = 16cm x 4cm

       = 64 cm²

Bottom-left rectangle:
area = length x width

        = 10 x 4

        = 40 cm²

Total = 12 + 64 + 40

        = 116 cm²  

The dimensions of a cylinder which has this maximum volume are equal to 1.83 units and 3 units.

Given the following data:

Mathematically, the volume of a cylinder can be calculated by using this formula:

V = πr²h

Next, we would convert the above multi-variable function into a single-variable function by applying the properties of 2 similar triangles:

H/H - h = R/r

H - h = r(H/R)

h = H/R(R - r)

V = πHr²/R(R - r)

In order to maximize the volume of this cylinder, we would determine the critical points of the function by differentiating wrt r:

dV/dr = πH/R(2rR - 2r² - r²)

(2rR - 3r²) = 0

r = 2R/3

r = (2 × 4.5)/3

Maximum radius, r = 3 units.

For the max. height, we have:

h = H/R(R - r)

h = H/R(R - 2R/3)

h = H/3

h = 5.5/3

Maximum height, h = 1.83 units.

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The more appropriate measures of central and spread for the data set are; Mean and Range respectively.

It follows from the task content that the data set given is; 5 8 10 14 24.

Although, the mean and median of a dataset are the major measures of central tendency, the mean, more specifically is a better and more accurate measure of central tendency for this dataset as they are not evenly spaced.

Secondly, the Range is a better measure of spread in the task content as the number 24 seems to be an outlier and may significantly affect the measure of spread if deviation is considered.

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The probability of one success and one failure will be 4/9. Table C represents the probability distribution for the variable X.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The dials on the spinner are spun 2 times in a row.

P(dial lands on region)=P(success) = 2/3

P(failure) = 1/3

The probability that the two times dials on the spinner are not spun 2 times in a row.

P = (1/3)² = 1/9

The probability that the two times dials on the spinner are spun 2 times in a row.

P = (2/3)²= 4/9

One may calculate the probability of one success and one failure using the binomial distribution or by simply deducting the probabilities we previously determined from 1.

P = 1 - 1/9 - 4/9

P = 4/9

The probability of one success and one failure will be 4/9.

Hence table C represents the probability distribution for the variable

X.

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Answer:

Step-by-step explanation:

just multiply all the variables.

3 pants times 2 shirts= 4

4 outfits

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

The equation of the function is given as:

[tex]f(x) = x^3 + 4x^2 + x - 6[/tex]

Expand the function

[tex]f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6[/tex]

Reorder the terms

[tex]f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6[/tex]

Factor the expression

[tex]f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)[/tex]

Factor out x -1

[tex]f(x) = (x^2 + 5x + 6)(x -1)[/tex]

Expand

[tex]f(x) = (x^2 + 3x + 2x + 6)(x -1)[/tex]

Factorize

[tex]f(x) = [x(x + 3) + 2(x + 3)](x - 1)[/tex]

Factor out x + 2

[tex]f(x) = (x + 3)(x + 2)(x- 1)[/tex]

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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[tex]y - y1 = m(x - x1) \\ y - 8 = 15(x - 2) \\ y - 8 = 15x - 30 \\ y = 15x - 30 + 8 \\ y = 15x - 22[/tex]

The equation of line is y = mx+b ; m is slope , b is y- intercept

Please give brainlest

Answer:

40

Step-by-step explanation:

Area of triangle = 1/2 bh

= 1/2 × 20 × 4

= 40un²

Answer:

It just means 21 is greater than 3x

Step-by-step explanation:

The fee for hauling each vehicle will be $260 for each sedan, $310 for each van, and $340 for each truck

They hauled 4 sedans, 11 vans, and 7 trucks to the first lot and charged $6,830. This was calculated as:

= 4(260) + 11(310) + 7(340)

= 1040 + 3410 + 2380

= 6830

When they hauled 5 sedans, 14 vans, and 6 trucks to the second lot and charged $7,680. This was computed as:

= 5(260) + 14(310) + 6(340)

= 1300 + 4340 + 2040

= 7680

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For an arithmetic sequence whose first term is 4 and common difference is 3, we conclude that its 20th value of the given sequence is equal to 61.

In this question we must calculate the 20th term of a given arithmetic sequence. Arithmetic sequences are discrete sets, whose values are determined by the following linear expression:

y = a + r · (n - 1)     (1)

Where:

If we know that a = 4, r = 3 and n = 20, then the 20th term of arithmetic series is:

y = 4 + 3 · (20 - 1)

y = 61

For an arithmetic sequence whose first term is 4 and common difference is 3, we conclude that its 20th value of the given sequence is equal to 61.

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Step-by-step explanation:

1. the required distance can be calculated:

[tex]d=\sqrt{5^2+5^2}=5\sqrt{2}.[/tex]

2. the most helpful triangle is in option 'C' (see the attachment).

Answer:

option C

Step-by-step explanation:

got it right on edge