Write the equation in slope-intercept form. y=−6(x−3)+2x

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Explanation:

The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the [tex](x-\overline{x})^2[/tex] terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so [tex]\sum(x-\overline{x})^2 = 34[/tex]

From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list

So,

[tex]s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\[/tex]

This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.

Answer:

y = $40 - ($3/day)x

Step-by-step explanation:

y = $40 - ($3/day)x represents the amount of money John has left after x days.

Answer:

A: Angle J

Step-by-step explanation

If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D

Answer:

C. 1/√2

Step-by-step explanation:

cos∅ is adjacent over hypotenuse:

cos45° = 1/√2

cos45° = √2/2

Alternatively, if you learned and memorized your unit circle, cos(π/2) = √2/2

Answer:

C.

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

The inequality states that the amount that Yvonne drives is more than 540 miles.  Since h represents the number of hours, we know that 69 probably means the number of miles Yvonne can drive per hour.  Finally, 126 shows the amount of miles that Yvonne has already driven.

Answer:

[tex]Standard\ Form = {3n^2} m^{-2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

[tex]\frac{2}{3m^2n} * 4.5n^3[/tex]

[tex]Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}[/tex]

Split the numerator and the denominator

[tex]Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}[/tex]

Multiply Like terms

[tex]Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}[/tex]

Divide 9 by 3 to give 3

[tex]Standard\ Form = \frac{3 * n^3}{m^2 * n}[/tex]

Divide n³ by n to n²

[tex]Standard\ Form = \frac{3 * n^2}{m^2 }[/tex]

Split fraction

[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex]

From laws of indices;

[tex]\frac{1}{a^n} = a^{-n}[/tex]

[tex]Standard\ Form = {3 * n^2} * \frac{1}{m^2 }[/tex] becomes

[tex]Standard\ Form = {3 * n^2} * m^{-2}[/tex]

Multiply all together

[tex]Standard\ Form = {3n^2} m^{-2}[/tex]

Answer:

704 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi ( 8)^2 * 11

V = pi (704)

V = 704 pi in ^3

Answer:

Step-by-step explanation:

Solution,

Radius(R)= 8 in.

Height (h)= 11 in.

Volume of cylinder=?

Now,

Volume of cylinder:

[tex]\pi {r}^{2} h[/tex]

[tex]\pi \: {(8)}^{2} \times 11 [/tex]

[tex]\pi \times 64 \times 11[/tex]

[tex]704\pi \: {inches}^{3} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

the alphabet.

Step-by-step explanation:

=========================================================

Work Shown:

A = area of black square

A = 2*2

A = 4

B = area of white symbol

B = (1/3)*A

B = (1/3)*4

B = 4/3

C = total area

C = 4*2

C = 8

Divide the values of B and C to find the fraction of the total area the white symbol covers up.

B/C = (4/3)/8

B/C = (4/3) / (8/1)

B/C = (4/3) divided by (8/1)

B/C = (4/3) times (1/8)

B/C = (4*1)/(3*8)

B/C = 4/24

B/C = 1/6

 The greatest common factor is the biggest number that divides evenly into each one of the numbers without a remainder...the only thing that's different about our situation is that we have variables in addition to regular number (but the same logic applies...we need to find the biggest variable that goes into k^4 , k^3 , and k^2 ).

The biggest number that goes into 15, 35 and 20 is the number 5. The biggest variable that goes into k^4 , k^3 , and k^2 is k^2

Combining the number and the variable, we get that the greatest common monomial factor is 5k^2

Since area is length x width, and we just figured out that width is 5k2 , all we have to do to find length is divide 15k4+35k3+20k2 by 5k2 , and we get that the length is 3k^2+7k+4

So the width is 5k^2 and the length is 3k2+7k+4

:))

-Eli

Answer:

∠8 is 400°

Step-by-step explanation

50 x  8 = 400

that means that the measure of ∠8 is 400°

Answer:

130 degrees I got it correct trust me

Answer:

CB = 3.6 cm

Step-by-step explanation:

Here, triangle ABC is rotated about point X which results in triangle EFD. Since triangle ABC is rotated it retains its shape and dimensions. This means that triangle ABC is parallel to triangle EFD ie, ABC≈EFD, also both dimensions will be congruent.

Thus

AB = EF

BC = FD

AC = ED

CB = DF

BA = FE

CA = DE

Since length of side DF = length of side CB, and DF = 3.6 cm. Therefore, CB = DF = 3.6 cm

Length of CB = 3.6 cm

Answer: B it's B

Step-by-step explanation: I got it right

Answer:

Step-by-step explanation:

Answer:

Formula: a² + 2ab + b² = (a + b)²

The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.

The answer is (1/3x + 1/5y)².

Answer: z=4

Step-by-step explanation:

4z+12=28

-12 on both sides

28-12=16

4z=16

divide 4 on both sides

z=4

Answer:

z=4

Step-by-step explanation:

4z+12=28

Subtract 12 from each side

4z+12-12=28-12

4z = 16

Divide each side by 4

4z/4 = 16/4

z = 4

Answer:

106,107,108,109,110

Step-by-step explanation:

The external angles of any regular shape add up to 360.  Thus, each internal angle of a pentagon = 540. 540/5= 108

Then simply add and subtract one twice to get a number set of 106,107,108,109,110

Answer: a simple interest rate of 3.2% will be the better deal.

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:  

A = P (1 + r/n) nt  

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r = Nominal Interest Rate (decimal form, 3/100= 0.03)  

n= number of compounding periods in each year (1)  

Replacing with the values given  

A = 7000 (1+0.03/1)^(1x5)

A = 7000( 1.03)^5 = $8,114.92

For simple interest:

I = p x r x t  

Where:  

I = interest  

Replacing with the values given:

I = 7000 x (3.2/100) x 5 = $1,120

Adding the principal amount: 7000+1120 = $8,120

Since 8,120 (simple) >8,114.92(compound)

a simple interest rate of 3.2% will be the better deal.

Answer:

A = 5x · (3x + 7)

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

= 15x² + 35x meters

Answer:

15x^2+35x

Step-by-step explanation:

As the area formula is L*W, you're essentially doing the same thing here by multiplying both of these sides to get your area expression.

Take 5x and use the distributive property to multiply it with 3x+7 to get 15x^2+35x.

Answer:

11.5

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms

(15+4+6+12+16+20+16+3)/8

The required mean of the data for the sample of Dr. Frank's dentist office is  11.5.

Given that,
The number of patients treated at Dr. Frank's dentist's office each day was recorded for eight days: 15, 4, 6, 12, 16, 20, 16, 3. Using the given data, find the mean for this sample is to be determined.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
The number of patients treated was recorded for eight days,
Sample space =  15, 4, 6, 12, 16, 20, 16, 3
n(s) = 8
Mean = (15 + 4 + 6 + 16 + 20 + 16 + 3) / 8
Mean = 92 / 8
Mean = 11.5

The required mean of the data for the sample of Dr. Frank's dentist office is  11.5.

Learn more about average here:

brainly.com/question/24057012

#SPJ2

Answer:

(8!+6!.3!)

=6!(8×7+6)

=720(56+6)

=720(62)

=720×62

=44640

Answer:

10

Step-by-step explanation:

28/2.8

280/28

= 10

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\textbf{The best thing to understand how to get the answer to this}\\\large\textbf{fraction or equation (whatever you would like to call it),}\\\large\textbf{you have to either to DIVIDE the numerator from the}\\\large\textbf{denominator or even convert the fraction to a division}\\\large\textbf{problem. I will show you what I meant, when we solve for}\\\large\textbf{the answer.}\\\\\\\large\textbf{We make your equation into a division problem since it is}\\\large\textbf{easier to solve now.}[/tex]

[tex]\\\\\\\large\textbf{Now, let's solve for the answer. }[/tex]

[tex]\large\textbf{Your equation: }\rm{\bf \dfrac{28}{2.8}}\\\\\large\textbf{Conversion of your equation: }\rm{\bf 28\div 2.8}\\\\\large\textbf{Simplify the conversion problem above}\\\\\large\textbf{You should have gotten the result: \boxed{\rm{\bf 10}}}[/tex]

[tex]\large\textbf{Now, let's see if the result if true by doing the OPPOSITE}\\\large\textbf{of division... which is multiplication. So we will take the}\\\large\textbf{denominator (the bottom number) which is, 2.8 and}\\\large\textbf{multiply it by the result you got from the division}\\\large\textbf{problem, which is 10.}[/tex]

[tex]\rm{\bf 2.8 \times \boxed{\bf 10}}\\\\\large\textbf{Work it out if you remembered the steps of multiplication.}\\\\\large\textbf{You should've gotten \boxed{\textsf{28}}}\\\\\large\textbf{So, yes \boxed{\textsf{10}} is your result to this equation,}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{10}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& }\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

87.6m²

Step-by-step explanation:

From the above question, we are given the following information

The dimensions of the base were 3 m by 5 m:

Length = 3m

Width = 5m

The pyramid was 3.6 m high

Height = 3.6m

To calculate the amount of ice needed for this sculpture, we would have to find the Surface Area of the Rectangular Prism

This is calculated as:

Surface Area =2(wl+hl+hw)

= 2(3 × 5 + 3.6 × 3 + 3.6 × 5)

= 2(15 + 10.8 + 18)

= 2(43.8)

= 87.6m²

The amount of ice needed for this sculpture is 87.6m²

Answer:

You could approximate pi to be 3.14, and divide that by 6.

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

If π/6 is an angle in radians

So, Converting it into degrees will make :

=> π/6 * 180 => 30 degrees

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the wall. The straight line distance from the bottom of the window to the ground forms the opposite side. The distance from the bottom of the ladder to the house represents the adjacent side. To determine the required length of the wire, c, we would Pythagorean theorem which us expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

c² = 6² + 5² = 36 + 25 = 61

c = √61 = 7.81 ft

Answer:

Solution,

Let the points be A and B.

A(-2,3)---->(X1,y1)

B(-5,6)---->(x2,y2)

Now,

[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 3}{ - 5 - ( - 2)} \\ = \frac{3}{ - 5 + 2} \\ = \frac{3}{ - 3} \\ = - 1[/tex]

Hope this helps..

Good luck on your assignment..

Answer: I = $ 19.53

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 25%/100 = 0.25 per year,

then, solving our equation

I = 312.5 × 0.25 × 0.25 = 19.53125

I = $ 19.53

The simple interest accumulated

on a principal of $ 312.50

at a rate of 25% per year

for 0.25 years is $ 19.53.

Answer:

P = 5000

You need to multiply r and T together, then divide 312.50 by that.

Answer:

40

Step-by-step explanation:

Once you plot the data, the middle values will be 39 and 41. To calculate the median, you add them up and divide by two, which will result in 40!

Median is the middle value.

Write the numbers out from smallest to largest:

35, 38, 38, 39, 39, 41, 42, 43, 43, 44

There are 10 total numbers, find the middle two:

39 and 41

Add them Together and divide by 2:

39 + 41 = 80

80/2 = 40

Median = 40

Answer:

-8

Step-by-step explanation:

Hope it helps you.

Can you mark my answer as a Brainliest Please

Answer:

Step-by-step explanation:

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Answer:

Hey there!

We have sine xyz=6/15

sine xyz=0.4

arc sine 0.4=xyz

xyz=23.6

Hope this helps :)