Find the product (8/6n-4)(9n^2-4)

Answer:

Step-by-step explanation:

D

Answer:

[tex]\large\boxed{a.\ -3x^5y^6}[/tex]

Step-by-step explanation:

[tex]-3x^2y^2\cdot y^4x^3=(-3)(x^2x^3)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-3x^{2+3}y^{2+4}=-3x^5y^6[/tex]

Answer:

x = 18

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x+x+3}{x+3}[/tex] = [tex]\frac{14+12}{14}[/tex]

[tex]\frac{2x+3}{x+3}[/tex] = [tex]\frac{26}{14}[/tex] ( cross- multiply )

14(2x+3) = 26(x + 3) ← distribute both sides

28x + 42 = 26x + 78 ( subtract 26x from both sides )

2x + 42 = 78 ( subtract 42 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18

The last one. It goes and touches the most points.

The 4th line is the line of best fit for this given scatter plot.

"A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed."

Here, 4 different lines are drawn for a given scatter plot.

We know, a line drawn on a scatter plot fits it the best is the line that is closer to most of the points.

Here, the 4th line is closer to most of the points on the scatter plot.

Therefore, 4th line is the best fit.

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Answer:

[tex]x=5(+/-)\sqrt{17}[/tex]

Step-by-step explanation:

we have

[tex]x^{2}-10x+8=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}-10x=-8[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]x^{2}-10x+5^{2}=-8+5^{2}[/tex]

[tex]x^{2}-10x+25=-8+25[/tex]

[tex]x^{2}-10x+25=17[/tex]

Rewrite as perfect squares

[tex](x-5)^{2}=17[/tex]

Take square root both sides

[tex](x-5)=(+/-)\sqrt{17}[/tex]

Adds 5 both sides

[tex]x=5(+/-)\sqrt{17}[/tex]

Answer:

[tex]A=2\ m^{2}[/tex]

Step-by-step explanation:

we know that

The resulting two-dimensional cross-section is a rectangle 1 m x 2 m

so

the area of this rectangle is equal to

[tex]A=2*1=2\ m^{2}[/tex]

The answer would be 20

You multiply 62.5% by 32

32*0.625=20

They are correct it is 20.

Answer:

The coordinates of A'' are (-2 , -5) ⇒ answer A

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

* Now lets solve the problem

- The vertices of triangle ABC are:

 A is (2 , -5) , B is (1 , -3) , C is (5 , -3)

∵ The triangle is reflected across the y-axis

∴ The x- coordinates of the three point are changed to opposite sign

∵ A is (2 , -5)

∴ its image A" is (-2 , -5)

* The coordinates of A'' are (-2 , -5)

Answer:

(-2, -5)

Step-by-step explanation:

Answer:

Option 3 (angle WXY + angle YXZ = 180) is the answer.

Answer:

Step-by-step explanation:

The volume of a box with dimensions length x, width (x+1), and height (x+2), is given by the formula x^3 + 3x^2 + 2x cubic units.

The volume of the box can be calculated by multiplying its length, width, and height together. Given that the length is x, width is (x+1), and height is (x+2), the volume would be x*(x+1)*(x+2).

To further expand this, apply the distributive law which first multiplies x*(x+1), resulting in x^2 + x. Then multiply this result by (x+2), giving the final volume V = x^3 + 3x^2 + 2x.

Therefore, the volume of the box given the stated dimensions is x^3 + 3x^2 + 2x cubic units.

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Answer:

[tex]\$16,021[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-k)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

k is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$20,000\\k=0.105\\x=2\ years[/tex]

[tex]V=\$20,000(1-0.105)^{2}=\$16,020.50[/tex]  

round to the nearest dollar

[tex]\$16,020.50=\$16,021[/tex]  

the value of the car after 2 years will be approximately $16,212.

To find the value of the car after 2 years with continuous depreciation, we will use the formula for continuous exponential decay:

[tex]V(t) = V_0 \times e^{-kt}[/tex]

Where V(t) is the value after time t V_0 is the initial value, k is the decay constant and t is time

Plugging in the values:

[tex]V(2) = 20000 \times e^{-0.105 \times 2}[/tex]

Simplifying the exponent:

[tex]V(2) = 20000 \times e^{-0.21}[/tex]

[tex]V(2) = 20000 \times 0.8106 \approx 16212[/tex]

Thus, the value of the car after 2 years will be approximately $16,212.

ANSWER:

The 100 one is 10 and the 1,728 one is 12!

I think this is right and I hope I helped!

Tell me if it was right!

Answer: Option A

P(B and V)=10%

Step-by-step explanation:

To solve this poroblema we use the formula of combinations:

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the number of objects that can be chosen and you choose r from them.

There are 5 colors of shirts.

The number of shirts that can be made by combining 2 of the 5 possible colors is calculated as:

[tex]5C2[/tex]

[tex]5C2=\frac{5!}{2!(5-2)!}[/tex]

[tex]5C2=10[/tex]

The number of shirts that can be made by combining 2 of the 2 possible colors (B) and (V) is calculated as:

[tex]2C2 = 1[/tex]

Then the probability is:

[tex]P(B\ and\ V)=\frac{2C2}{5C2}\\\\P(B\ and\ V)=\frac{1}{10}\\\\P(B\ and\ V)=0.1=10\%[/tex]

Answer: the answer is D

Step-by-step explanation:

Cause you have to do 100% divided by 5 you will get 20%

So if you have two of the five colors you will have two multiple 20% times 2 and get 40%

Answer:

Step-by-step explanation:

3.14 x 10.6^2= 352.81 pi

Answer is...

Volume = 4988.92

See attached photo

Answer: The graph is shifted 2 units to the right.

Step-by-step explanation:

Given a function f(x), we know that one transformation rule is:

If [tex]f(x-k)[/tex] then the function is shifted "k" units to the right.

 Therefore, for the function [tex]f(x)=x^{2}[/tex], when we subtract 2 from the input, then we get the function g(x) in the form:

 [tex]g(x)=(x-2)^{2}[/tex]

We can conclude that subtracting 2 from the input of the function [tex]f(x)=x^{2}[/tex], then the graph is shifted 2 units to the right.

The answer is right graph shifted 2 units to the right

Answer:

Answer is B - 290.

Step-by-step explanation:

The idea here is that we're assuming the frequency each colour is drawn is a reflection of the proportion of marbles in the bag that are that colour. The more of a particular colour you have, the more likely you are to draw it, and vice versa.

Therefore we can assume the proportion of blue, gree, and red marbles is 13%, 29%, and 58% respectively based on the first 100 draws.

These percents should stay relatively similar as more draws are done, approaching the true proportions of each colour better the higher the number of draws. That means 29%, or 290, of the 1000 draws will be green.

Answer: 290

Step-by-step explanation:

1 quart = 2 pints.

This means a 4 pint container is 2 quarts.

To find the price for 1 quart divide the price by 2:

12.04 / 2 = $6.02 per quart.

1 = a

2 = h

have a good day

5:55am

Start by finding how long the stand was open. Add 5 hours + 1 hour + 6 hours 15 minutes to get 12 hours 15 minutes.

Now, just find the time that is 12 hours and 15 minutes before 6:10pm. Start by subtracting 12 hours, which just switches the time from a.m. to p.m. This brings you to 6:10am. Finally, subtract the 15 minutes to get 5:55am.

Answer:

Part A : |x-2.5| ≤ 0.75  , x ∈ [1.75,3.5]

Part B : yes, the lifeguard should add more chlorine.

Step-by-step explanation:

Part A:

Let  C is the variation of the level of chlorine in a hot tub.

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

To find absolute value inequality, need to find the standard level of chlorine 1.75 + C or 3.25 - C

1.75 + C = 3.25 - C

2C = 5

C = 2.5

So, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

1.75 ≤ x ≤ 3.25

Subtract 2.5 from all sides

1.75 - 2.5 ≤ x -2.5 ≤ 3.25 - 2.5

-0.75 ≤ (x-2.5) ≤ 0.75

which is equivalent to the following absolute value inequality.

|x-2.5| ≤ 0.75

And the solve of the inequality : x ∈ [1.75,3.5]

Part B:  If x = 1.0 ppm,

∴ |1.0-2.5| = 1.5 which is not less than equal to 0.75.

Another explanation:

the minimum safe level of chlorine in a hot tub is 1.75 ppm

Since 1 < 1.75

Therefore, lifeguard should add more chlorine.

1210÷4=302.5 and u can have a half of a dog so there would be 302

Answer:

15) f(x) + g(x)  = -x + 8

17) f(x) - g(x) = x + 9

Step-by-step explanation:

15)

f(x) = 3x + 5

g(x)= - 4x + 3

Find f(x) + g(x)

f(x) + g(x)  = 3x + 5  + ( - 4x + 3 )

f(x) + g(x)  = 3x + 5   - 4x + 3

f(x) + g(x)  = -x + 8

17)

f(x) = 2x +4

g(x)= x - 5

Find f(x) - g(x)

f(x) - g(x) = 2x +4  - (x - 5 )

f(x) - g(x) = 2x +4  - x +  5

f(x) - g(x) = x + 9

[tex]

f(x)=3x+5 \\

g(x)=-4x+3 \\

(f+g)(x)=f(x)+g(x)=(3x+5)+(-4x+3) \\

3x+5-4x+3=\boxed{-x+8} \\ \\

f(x)=2x+4 \\

g(x)=x-5 \\

(f-g)(x)=f(x)-g(x)=(2x+4)-(x-5) \\

2x+4-x+5=\boxed{x+9}

[/tex]

Hope this helps.

r3t40

4.5 + 1.5k = 18 - 3k

Bring -3k to the other side by adding 3k to both sides

4.5 + (1.5k + 3k) = 18 + (-3k + 3k)

4.5 + 4.5k = 18 + 0

4.5 + 4.5k = 18

Bring 4.5 to the other side by subtracting it to both sides

(4.5 - 4.5) + 4.5k = 18 - 4.5

0 + 4.5k = 13.5

4.5k = 13.5

Isolate k by dividing 4.5 to both sides

4.5k / 4.5 = 13.5 / 4.5

k = 3

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Surface area of original cube:

6(12²) = 6(144) = 864 cm²

Surface area of new cube:

6(24²) = 6(576) = 3,456 cm²

If the edge length of the cube is doubled, the surface area of the cube will be quadrupled.

Doubling the edge length of a cube from 12 cm to 24 cm increases the surface area by a factor of four, from 864 cm^2 to 3456 cm^2, because surface area is a two-dimensional measure and each dimension has been doubled.

If a cube has an edge length of 12 cm, its surface area is calculated by the formula 6s^2, where s is the length of a side. So the surface area of the original cube is 6  imes 122 cm^2 = 864 cm^2.

When the edge length of the cube is doubled to 24 cm, to find the new surface area, we also apply the formula 6s^2. Therefore, the new surface area is 6  imes 242 cm^2 = 3456 cm^2.

Comparing the new surface area to the original, we see that it has increased by a factor of 4, which is the square of the factor by which the edge length was multiplied (22 = 4). This occurs because surface area is a two-dimensional measure (involving length by width), so when each dimension is doubled, the overall area increases by a factor of four (2  imes 2).

Answer:

FICA Tax =$8170.2

Step-by-step explanation:

Given

Total income=$165000

Taxable income=$106800

FICA tax includes Social security tax and medicare tax.  

Medicare tax is 1.45% of the taxable wage and social security tax is6.2% of the taxable wage.  

1.45% of medicare is paid by the employer and similarly 6.2% social security tax is paid by the employer.

0.9% of medical surtax is deducted if the employee earns more than $200000

So,

Medicare  Tax=Taxable income*1.45/100

=106800*0.0145

=$1548.6  

Social Security Tax=Taxable Income*6.2/100

=106800*0.062

=$6621.6

As the income of the employee is less than $200000, so there will be no medical surtax.  

Total FICA tax=$1548.6+$6621.6

=$8170.2

tan 24 = x/12

0.4452 · 12 = X

5.34 = X

36-(4+2a)^2=0

36-16+4a^2=0

4a^2+20=0

a^2+5=0 <— Factored form

If your asking whats 86.4 divided by 36 its 2.4

Answer:

Final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].

Step-by-step explanation:

Given rational expressions are [tex]\frac{x+2}{x-4}[/tex] and [tex]\frac{3x}{x+4}[/tex].

Now we need to find about what is the product of given rational expressions.

to multiply the rational expressions, we simply multiply numerator with numerator. Then multiply denominator with denominator.

[tex]\frac{x+2}{x-4}\cdot\frac{3x}{x+4}[/tex]

[tex]=\frac{\left(x+2\right)\cdot3x}{\left(x-4\right)\cdot\left(x+4\right)}[/tex]

[tex]=\frac{3x^2+6x}{x^2+4x-4x-16}[/tex]

[tex]=\frac{3x^2+6x}{x^2-16}[/tex]

Hence final answer is [tex]\frac{3x^2+6x}{x^2-16}[/tex].

Add the total number of rolls that were greater than 3.

This would be the number 4, 5 and 6.

8 + 11 + 10 = 29 rolls higher than 3.

Now divide the number of rolls higher than 3 by the total number of rolls which is given as 50:

29 / 50 = 0.58

Multiply by 100 to get the percent:

0.58 x 100 = 58% of the rolls were higher than 3.