Using AJKL, what is the length of JK? Answers are in feet.
NEED HELP ASAP

Answer:

(x-1)^5 (x+1)

Step-by-step explanation:

2 (x-1)^5 + (x-1)^6

Factor out (x-1)^5

2 (x-1)^5 + (x-1)^5 (x-1)

(x-1)^5( 2 + x-1)

Combine like terms

(x-1)^5 (x+1)

Answer:

A

Step-by-step explanation:

factor out (x-1)^5 and you get (x-1)^5(2+x-1)

simplify that to get (x-1)^5(x+1)

Answer:

The probability of rolling a 5 is 1/6.

Step-by-step explanation:

There is only one 5 out of the 6 sides, therefor you can only get it once, so the probability of rolling a 5 would be 1/6.

This question is incomplete, the complete question is;

Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within; a) 10 weeks, b) 11 weeks, c) 12 weeks.

Answer:

a) the probability that the next claim will be processed within 10 weeks is 25.14%

b) the probability that the next claim will be processed within 11 weeks is 37.07%

c) the probability that the next claim will be processed within 12 weeks is 50.00%

Step-by-step explanation:

Given the data in the question;

mean 12 weeks

Variance = 9 weeks

Standard deviation SD = √Variance = √ 9 = 3 weeks.

Since,  the amount of time it takes to process insurance claims is normally distributed.

z = ( x - mean ) / SD

where x is weeks of next claim.

a) 10 weeks

z = ( x - mean ) / SD

we substitute

z = ( 10 - 12 ) / 3

z = -2/3

z = -0.67

{ from standard normal distribution table }

value of z is 0.2514

Therefore, the probability that the next claim will be processed within 10 weeks is 25.14%

b) 11 weeks

z = ( x - mean ) / SD

we substitute

z = ( 11 - 12 ) / 3

z = -1/3

z = -0.33

{ from standard normal distribution table }

value of z is 0.3707

Therefore, the probability that the next claim will be processed within 11 weeks is 37.07%

c) 12 weeks

z = ( x - mean ) / SD

we substitute

z = ( 12 - 12 ) / 3

z = 0/3

z = 0.00

{ from standard normal distribution table }

value of z is 0.5000

Therefore, the probability that the next claim will be processed within 12 weeks is 50.00%

Answer:

-4x (1-3) - (2x + 2)

-4(5)(1-3) - (2(5) + 2)

-20(1-3) - (10 + 2)

-20(-2) - (12)

40 - (12)

28

Step-by-step explanation:

Answer:

so you would actually multiply 32 x 15=480 then subtract 480 - 384= it would have 96 miles left. then divide 96/32= 3

so your answer would be 3 gallons left

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

Answer:

y = 4x² - 4

Step-by-step explanation:

y = a(x - x₁ )(x - x₂)

Plug in the knowns

y = 4(x - 1)(x + 1)

expand

y = 4(x² - 1)

y = 4x² - 4

Answer:

The solution is given below

Step-by-step explanation:

The computation is shown below:

a. The profit margin is

= Operating income ÷ total sales

= $2,828,980 ÷ $23,380,000

= 12.1%

b. The investment turnover is

= Total sales ÷ total assets

= $23,380,000 ÷ $10,000,000

= 2.34

c. The return on investment is

= Profit margin × investment turnover

= 12.1% × 2.34

= 28.29%

d. The residual income is

= Operating income - (minimum rate of return × assets)

= $2,828,980 - (20% of $10,000,000)

= $828,980

Answer:

f(x+3) = 4x + 14

Step-by-step explanation:

f(x+3) = 4(x+3) + 2

f(x+3) = 4x + 12 + 2

f(x+3) = 4x + 14

hope this helps!

Answer:

f(x)=4x+2

f(x+3) means substitute x as (x+3)

f(x+3)=4(x+3) +2

= 4x + 12 + 2

=4x+14.

OPTION C IS LEGIT

Answer:

-2

Step-by-step explanation:

f(1) is the value of y when x = 1.

Thus, from the graph, we see that when x = 1 on the x-axis, on the y-axis, we have a corresponding y value of -2.

This means y = -2 when x = 1.

Therefore:

f(1) = -2

Answer:

d=4.5

Step-by-step explanation:

d+5.5=10

d=10-5.5

d=4.5

Hope this is helpful

Answer

0.73

Step-by-step explanation:

73% = 0.73 in decimal form. Percent means 'per 100'. So, 73% means 73 per 100 or simply 73/100.

Answer:

Step-by-step explanation:

73%

=73/100

=0.73

when u divide the percentage with hundred percentage sign will be removed.

Answer:

22 cups

Step-by-step explanation:

1 quart is 4 cups. So therfore 5 1/2 * 4 =22

Hope this helped :)

Answer:

A. rational number can be written p/q form, where q not equal to zero.

Answer:

its A

Step-by-step explanation:

Answer:The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0. ... So this number is even and divisible by 5. That means that it is also divisible by 10

Step-by-step explanation:

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

No, 4 is not a solution of [tex]9x - 6 = 7x[/tex].

Here's why:-

[tex]9x - 6 = 7x \\ ⇢ 9x - 7x = 6 \\ ⇢ 2x = 6 \\ ⇢ x = \frac{6}{2} \\ ⇢ x = 3[/tex]

Clearly, the value of [tex]x[/tex] is 3.

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex]9x - 6 = 7x \\ ⇢ 9 \times 3 - 6 = 7 \times 3 \\ ⇢ 27 - 6 = 21 \\ ⇢ 21 = 21 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

f(-4) = 72, f(x + 5) = 3x² + 23x + 36

Step-by-step explanation:

f(-4) = 3(-4)² - 7(-4) - 4

      = 48 - (-28) - 4

f(-4) = 72

f(x + 5) = 3(x + 5)² - 7(x + 5) - 4

           = 3(x + 5)(x + 5) - 7(x + 5) - 4

           = 3(x² + 10x + 25) - 7(x + 5) - 4

           = 3x² + 30x + 75 - 7x - 35 - 4

f(x + 5) = 3x² + 23x + 36

Answer:

wilson swam farther by 0.4 km

Step-by-step explanation:

wilson swam 1.2km

brian swam 0.8km

1.2 - 0.8 = 0.4

Answer: 40 coins. Doesn't your profile say college?

Answer:

center=(-6, 1)

radius=√9= 3

Step-by-step explanation:

(x-h)^2 + (y-k)^2=r^2

Answer:

2x + 3 ≥ 6

2x + 3 - 3 ≥ 6 - 3

2x ≥ 3

2x ÷ 2 ≥ 3 ÷ 2

x ≥ 1.5

Answer:

A, C and G

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

Substitute the values into the trigonometric ratios:

[tex]\implies \sf \sin(25^{\circ})=\dfrac{a}{c}[/tex]

[tex]\implies \sf \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\implies \sf \tan(25^{\circ})=\dfrac{a}{b}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}[/tex]

Using trigonometric values and the calculated trigonometric ratios:

[tex]\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}[/tex]

[tex]\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}[/tex]

[tex]\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}[/tex]

Therefore, the true equations are:

[tex]\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})[/tex]

Answer:

It will cost $121.50

Step-by-step explanation:

C = 20 + 25h + .05m

Now plug in the hours and miles

C = 20 + 25(4) + .05(30)

C = 20 + 100 + 1.5

C = 121.50

The total cost rent the truck for 4 hours and 30 miles drive is $121.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, a home improvement store charges $20 to rent a small truck for 1 hour.

Let the number of hours be h and the number of miles be m.

Now, total charge = 20+25h+0.05m

Here, h=4 and m=30

So, total charge = 20+25(4)+0.05(30)

= $121.5

Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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Answer:

Area = 52.81 square inches

Step-by-step explanation:

[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]

Step-by-step explanation:

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Answer:

[tex]s \ne \±2[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Step-by-step explanation:

Given

[tex]3sx_1 +5x_2 = 3[/tex]

[tex]12x_1 + 5sx_2 =2[/tex]

Required

Determine the value of s

Express the equations as a matrix

[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|A|= (3s*5s -5 *12)[/tex]

[tex]|A|= (15s^2 -60)[/tex]

Factorize

[tex]|A|= 15(s^2 -4)[/tex]

Apply difference of two squares

[tex]|A|= 15(s -2)(s + 2)[/tex]

For the system to have a unique solution;

[tex]|A| =0[/tex]

So, we have:

[tex]15(s -2)(s+2) = 0[/tex]

Divide both sides by 15

[tex](s -2)(s+2) = 0[/tex]

Solve for s

[tex]s -2 = 0\ or\ s +2 = 0[/tex]

[tex]s = 2\ or\ s = -2[/tex]

The result can be combined as:

[tex]s =\±2[/tex]

Hence, the system has a unique solution when [tex]s \ne \±2[/tex]

Next, we solve for s using Cramer's rule.

We have:

[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|x_1| = (3 * 5s - 5 *2)[/tex]

[tex]|x_1| = 15s - 10[/tex]

So:

[tex]x_1 =\frac{|x_1|}{|A|}[/tex]

[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]

Divide by 5

[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

Similarly:

[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]

Calculate the determinant

[tex]|x_2| = 3s * 2 - 3 * 12[/tex]

[tex]|x_2| = 6s- 36[/tex]

So:

[tex]x_2 =\frac{|x_2|}{|A|}[/tex]

[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]

Divide by 3

[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Answer: y=-2x-1

Step-by-step explanation:

First let's find the slope by using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{-3--1}{1-0} \\\frac{-2}{1} \\-2[/tex]

The equation for slope intercept form is y=mx+b where m is the slope and b is the y-intercept

The y-intercept is -1 giving us the equation

y=-2x-1

Answer:

C

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I'm not too sure, I think it might be 8.

Answer:

4+4 = 8

Step-by-step explanation: