find the scale factor of the dilation

Answer:

[tex]\boxed {a_{24} = - 70}[/tex]

Step-by-step explanation:

According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

[tex]a_{n} = a_{1} + (n - 1) d[/tex]

[tex]a_{n}[/tex]: nth term in the sequence

[tex]a_{1}[/tex]: 1st term

[tex]n[/tex]: term position

[tex]d[/tex]: Common difference

-Apply to the formula:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{n} = a_{24}[/tex]

[tex]a_{1} = -1[/tex]

[tex]n = 24[/tex]

[tex]d = -3[/tex]

-Solve:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{24} = -1 - 3 (23)[/tex]

[tex]a_{24} = -1 - 69[/tex]

[tex]\boxed {a_{24} = - 70}[/tex]

Therefore, the 24th term is [tex]-70[/tex].

Answer:

the answer is 54

Step-by-step explanation:

I am doing same thing

Answer:105

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

21/3 = 7

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

~

Answer:

x > 9

Step-by-step explanation:

4x + 3 < 5x − 6

-x < -9

x > 9

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Answer:

a rate

Step-by-step explanation:

I looked it up :P

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Answer:

x=9

Step-by-step explanation:

-x-6-1(3)(Plug in equation) (Multiply -1x3)

-x-6-3(Subtract -6-3)

-x-9(Divide -9/-1)

x=9

hey mate☺️☺️ here's your answer......

4x'4 + 1

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

Answer:

m=(3y+85)

Step-by-step explanation:

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

Answer:

$11.33

Step-by-step explanation:

Keisha will own 307 shares after the split. and the amount of check is 11 dollar.

Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was

$33.99.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+ 2 = 5

Now, let x be the number of shares post split

Then;

3/2 = x/205

x = 3/2 (205)

x = 615/2 = 307.5

Therefore, Keisha will own 307 shares after the split.

Learn more about multiplications;

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Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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Answer:

[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

Answer:

It will take 6 hours to get to Houston.

Step-by-step explanation:

We have a total distance:

[tex] d_{T} = 746 mi [/tex]      

And, the distance traveled is:

[tex] d = 296 mi [/tex]

The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:

[tex]t = \frac{x}{v}[/tex]

Where:

[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]

[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]

Therefore, it will take 6 hours to get to Houston.

I hope it helps you!

Answer:

23.2/20

Step-by-step explanation:

i looked it up

Answer:

62.5% or 63%

5 ÷ 8 = 0.625

0.625 = 62.5% or 63%

Answer:

Same situation as before, thanks for points.

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

Answer:

it's the third one

Step-by-step explanation:

I believe on doing homework to good luck with your work hope this helps

Answer:

17 years

Step-by-step explanation:

hope it helps:)

Answer:

20 Years.

Step-by-step explanation:

As you could see my friend owned a dog for 9 years, and it reads that it is one year less which is 10 years since 10-1 (aka one year) equals 9 so anyways we know it's 10, and it's twice as long 10 x 2 (aka twice). which is how I got my answer... 20!  

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Incomplete question. The completed question reads;

The Northville School Board has proposed this budget for the upcoming school year:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

5% to upgrade the computer lab hardware

10% for new instruments for the music department

5% for new sports equipment

After a brief discussion, the school board revised the budget as follows:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

10% to upgrade the computer lab hardware

5% for new instruments for the music department

5% for new sports equipment

In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?

Answer:

getting new instrument

Explanation:

Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.

Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).

Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.

Answer:

In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.

Step-by-step explanation:

Edmentum

Answer:

Around $650

Step-by-step explanation:

The original price of a share is $540.

Given that, Seraj Food Industries fell by 40%, to $324 a share.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let the original price of share be x.

x - 40% of x = 324

⇒ x - 40/100 × x = 324

⇒ x - 0.4x = 324

⇒ 0.6x = 324

⇒ x = 324/0.6

⇒ x = 540

Therefore, the original price of a share is $540.

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Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

Answer:

B C E G J

Step-by-step explanation: