Rearrange the formula to make the letter in the square bracket the subject
y= 3x - 5 (x)

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[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]

[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]

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Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

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As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

Answer:

−39

Step-by-step explanation:

−6^2+5−6−2

=−36+5−6−2

=−31−6−2

=−37−2

=−39

Answer:

4

Step-by-step explanation:

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

= 36 - 30 - 2

= 6 - 2

= 4

Is this the one you meant?

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:

y=8x2+8x−12

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

(4,4)

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

A has 8 lines of symmetry, because they're all the same.

B has 4 lines of symmtery because those are all the same

C has only 2 because the vertical lines are symmetrical to each other, but not to the horizontal lines

D has 10 symmetrical lines because they're all the same

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

4% change

Step-by-step explanation:

Answer:

(y+x)/a=b

or b=(y+x)/a

Step-by-step explanation:

First add both sides by x:

y+x=ab

Now divide a on both sides:

(y+x)/a=b

Hope this helps!

Answer:

r=35ft, d=70ft. when r=15 mm, d=30mm

Step-by-step explanation:

Radius is half of diameter

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that:

[tex]A = 71[/tex]

[tex]C = 121[/tex]

[tex]T = 66[/tex]

First, we calculate the total

[tex]Total = A + C + T[/tex]

[tex]Total = 71 + 121 + 66[/tex]

[tex]Total = 258[/tex]

Solving (a): Probability of A

This is calculated using:

[tex]Probability = \frac{A}{Total}[/tex]

[tex]Probability = \frac{71}{258}[/tex]

[tex]Probability = 0.275[/tex]

Solving (b): Probability of C

This is calculated using:

[tex]Probability = \frac{C}{Total}[/tex]

[tex]Probability = \frac{121}{258}[/tex]

[tex]Probability = 0.469[/tex]

Solving (b): Probability of T

This is calculated using:

[tex]Probability = \frac{T}{Total}[/tex]

[tex]Probability = \frac{66}{258}[/tex]

[tex]Probability = 0.256[/tex]

Answer:

Step-by-step explanation:

For club 1 - 2 book

For club 2 - 4 books

Club 1 has a $40 fee + 2 books = $60 in total

Club 2 has a $0 fee + 4 book = $60 in total

I'm pretty sure I'm right

Answer:

There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.

Step-by-step explanation:

1st club.  (cost of club) 40$ + (cost of 2 books) 20$ = 60$.

2nd club. (cost of books) 15$ x  (how many books) 4 = 60$

Answer:

0.01049 kilogram/cubic meter

Step-by-step explanation:

I simply used a Density Calculator.

Answer:

answer = 2

Step-by-step explanation:

1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )

1 + (1 - cosθ)(1 + cosθ)(csc^2θ)

1 + (1 - cos^2θ)(csc^2θ)

1 + (sin^2)(1/sin^2)

1 + sin^2/sin^2

1 + 1

2

Answer:

B and D

Step-by-step explanation:

Those are correct. She won't lose $10, and she will lose $30, not $20.

Hope this helps plz mark brainliest ;D

Answer: Each group has 9 employees and at night 36 people.

Step-by-step explanation: You would do 72/8=9 so each group has 9 employees and in the night 9x4 will be there so 9x4=36 so 36 people.

Answer:

Proteins are important because it improves your immune system.

Step-by-step explanation:

It's a short answer, but I hope it helps loll.

Answer:

(-6, 0)

(-5, 1)

(-1, -2)

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

x + 3y > -8

(-6, 0) ?

(-5, 1) ?

(-16, 2) ?

(-1, -2) ?

(0, -3) ?

Step 2: Check 1

Step 3: Check 2

Step 4: Check 3

Step 5: Check 4

Step 6: Check 5

Answer:

1/2

Step-by-step explanation:

Slope is the change in y over the change in x so:

(7 -5) /(6-2) = (2)/(4) = 1/2

B) 5/7

^That's the slope :)

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 / 5/9

= 4 x 5/9

= Reciprocal ( means interchange it)

 9/5 x 4

In this case there is no cancelation so you can write it directly

= 36/5 is the answer      In Improper Fraction it is 7 1/5  

Answer:

should be -4

Step-by-step explanation:

9514 1404 393

Answer:

  0.579

Step-by-step explanation:

You can consider what the offered numbers are when they are rounded to hundredths:

  0.574 ⇒ 0.57

  0.579 ⇒ 0.58 . . . matches your requirement

  0.585 ⇒ 0.59

  0.681 ⇒ 0.68

The only number on the list that matches your rounding requirement is 0.579.

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge