A square has a vertex at (-15, -9) and is dilated at the origin with a scale factor of 1/3. What is the new coordinate of the vertex?
(-3, 5)
(-5, -3)
(27, 45)
(-45, -27)

Answer:

advantages—abundant natural resources, a stable government with relatively lax regulations, and a large workforce—made it the dominant industrial power by the 20th century.

Step-by-step explanation:

The benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

Division of labor is indeed the division of a work flow into several tasks, each of which is carried out by a different person or group of people. It is one of the fundamental organizational concepts of the production line and is most frequently used in mass production systems.

In any economic organization, the division of work refers to the separation of duties to allow members to specialize. Division of Labor refers to the division of the primary manufacturing process into a number of straightforward sections, each of which is produced by a distinct worker who specializes in producing that particular element.

Thus, the benefits of division of labor include a wealth of natural resources, a stable government with few restrictions, and a sizable workforce that helped it become the world's leading industrial power by the 20th century.

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Answer:

0

Step-by-step explanation:

So,0= the lengths of springs from the original pogo stick and the toddler's pogo stick are equal.

Hence, the values for different conditions were calculated with the help of trigonometric functions.

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths

Part A

Given that,

f(x)=2sinθ+[tex]\sqrt{2}[/tex]

Non compressed length = [tex]\sqrt{2}[/tex]

Then

2sinθ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sinθ=0

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Part B

Here angle is doubled

Then,

2sin2θ+[tex]\sqrt{2}[/tex]=[tex]\sqrt{2}[/tex]

2sin2θ=0

sin2θ=0

Here θ will be the integer multiple of [tex]\frac{\pi }{2}[/tex]

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

g(x)=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

Here

f(x)=g(x)

2sinθ+[tex]\sqrt{2}[/tex]=1-[tex]cos^{2}[/tex]θ+[tex]\sqrt{2}[/tex]

2sinθ=1-[tex]cos^{2}[/tex]θ

we know that [tex]1-cos^{2}[/tex]θ=[tex]sin^{2}[/tex]θ

2sinθ=[tex]sin^{2}[/tex]θ

sinθ=0

Therefore θ is the integer multiple of π

θ=kπ

Where k is an integer k=0,1,2..

Hence, we have solved that

Part A

θ=kπ

Where k is an integer k=0,1,2..

Part B

θ=[tex]k\frac{\pi }{2}[/tex]

Where k is an integer k=0,1,2..

Part C

θ=kπ

Where k is an integer k=0,1,2..

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Answer:

72

Step-by-step explanation:

that is a right triangle

90-18=72

Answer:

1. b

2.a

3.c

4.d

5.e

Step-by-step explanation:

because

Answer:

Step-by-step explanation:

400

Answer:

Step-by-step explanation:

The radius of cone = 9 cm

Step-by-step explanation:

Formula : Volume of a cone =  , where r= radius , h= height of the cone.

Given: Volume = 1,017.36 cubic centimeters

h = 12 centimeters

Substitute these values in formula , we get

Hence, the radius of cone = 9 cm

Answer:

A: [tex]12x+15y=60[/tex] B: [tex]12x+15y\leq 60[/tex]

Step-by-step explanation:

The mass of Saturn is 2000 more than the mass of Mercury.

Answer:

The mass of Saturn is 2000 more than the mass of Mercury

Step-by-step explanation:

1/4 of cookies

Cost of one cookies =2.95

Total cost

Answer:

$41.3

Step-by-step explanation:

Each cookie costs,

→ a = $2.95

Lemon cookies (1/4) of 56 cookies is,

→ b = 1/4 × 56

→ b = 56/4

→ [ b = 14 lemon cookies ]

The money made if she sell the lemon cookies alone will be,

→ a × b

→ 2.95 × 14

→ $41.3

Hence, the money made is $41.3.

Answer:

Given that Elena is currently e years  old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.

So, k - 9 = 2(e - 9)

⇒ k - 2e + 9 = 0 .............. (1)

And, in four years, Elena will be as old as Katie is now.

So, k = e + 4

⇒ k - e - 4 = 0 ............... (2)

Therefore, the equations (1) and (2) matches the conditions. (Answer)

Answer:

1.) 3

2.) 2

3.) 4

Answer:

D) 8.6%

Step-by-step explanation:

Answer:

[D] 8.6%

Step-by-step explanation:

Formula = Value 2 - Value 1 ÷ Original Value × 100

Given;

Bill was $24.74

Monthly bill is now $26.86

Answer choices:

[A] 7.3%

[B] 7.7%

[C] 8.2%

[D] 8.6%

Solve;

26.86-24.74 ÷ 26.86 × 100

2.12 ÷ 24.74× 100  = 8.56911883589

Round = 8.6%

 Hence, Answer = [D] 8.6%

~Learn with Lenvy~

Answer:

B. $1.34

Step-by-step explanation:

5.36 ÷ 4

=536×1/4×1/100

=536/400

=1.34

Answer:

Explanation:

11x5=55

11x13=143

5x13/2=32.5

55+32.5+143=230.5

230x185 5/8 m²=42 693.75 m2

230x219 3/8 m²=50 456.25 m2

230x247 1/2 m²=56 925 m2

230x292 1/2 m²=67 275 m2

I DO NOT 100% KNOW IF THESE ARE CORRECT

Answer:

247 1/2 m 2

Step-by-step explanation:

have  a good day

Answer:

1000

Step-by-step explanation:

substitute 510 with 1000 and multiply by 10 to get 10,000

Answer:

CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)

Step-by-step explanation:

GIVEN:

Walt grew 10 cm in one year

He is now 1.6m

SOLUTION:

We know that 1 m = 100cm

So 1.6 m = 160cm

So one year ago he was:

160 - 10 = 150cm

So he was 150 cm or 1.5 m one year ago.

We're given:

Let a represent the number of children who swam.

Let b represent the number of adults who swam.

Because we've set two variables, we need two equations to be able to find the answers.

One of the equations will regard price while the other will regard the number of people, as those are the two things given in the question.

Number of people:

[tex]a+b=478[/tex]

Price:

[tex]1.75a+2.25b=975[/tex]

We can solve this question using substitution, where we plug one equation into the other.

Isolate a in the first equation:

[tex]a+b=478\\a=478-b[/tex]

Plug the first equation into the second equation by replacing a:

[tex]1.75a+2.25b=975\\1.75(478-b)+2.25b=975[/tex]

Solve for b:

[tex]1.75(478-b)+2.25b=975[/tex]

⇒ Open up the parentheses:

[tex]836.5-1.75b+2.25b=975\\836.5-0.5b=975[/tex]

⇒ Subtract 836.5 from both sides to isolate b:

[tex]-0.5b=138.5[/tex]

⇒ Divide both sides by -0.5:

[tex]b=277[/tex]

Solve for a:

[tex]a+b=478[/tex]

⇒ Replace b with 277:

[tex]a+277=478\\a=201[/tex]

There were 201 children and 277 children at the pool that day.

Answer:

2143.57cm^3

Step-by-step explanation:

here we know the volume of sphere is 4/3πr^3 and the total volume of the sphere is the required capacity of the sphere to hold the water

Answer: 2/3 of an hour.

Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour.  If she fills it for an hour, she'll get 2/3 of the pool filled.  Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.

Hope this helps! :)

Answer:

2/3 of an hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. A ticket at the NBA championship game costs $200 each. You will be given a discount of 8% if you buy early.

Your parents gave your $570

a) How much will you pay if you buy early.

$200 * 0.08 = $16 (how much you get off)

$200 - $16 = $184

This means that you will pay $184 for each ticket if you buy early.

b) Opps the tax is 4.5%.

4.5/100 = 0.045

$184 * 0.045 = $8.28 (how much you will be paying for tax)

c) How much will you pay including tax?

$184 + $8.28 = $192.28

d) How much will you pay for your two brothers?

You + your two brothers = 3 people

$192.28 * 2 = $384.56

Total for all 3 people: $192.28 + $384.56 = $576.84

e) Do you still have money for popcorn if your parents will give you $570.00?

The total cost of the tickets for you and your brothers is $576.84.

$576.84 is greater than $570.

So, no. You won't have money for popcorn.

Hope this helps!

Answer:

[tex]4^{2}[/tex]

Step-by-step explanation:

so when you multiply two numbers with the same constant, and different exponents, just add the exponents!

so it is 5 - 3 = 2

so its [tex]4^{2}[/tex]

Answer:

A) 4²

Step-by-step explanation:

[tex](4^5)(4^{-3})\\\\4(^{5-3})\\\\4^2\\\\16[/tex]

Hope this helps!

Answer:

The answer is 60

Step-by-step explanation:

If you take a calculator all you have to do is divide 240 by 4 and the and the answer will be 60 please mark me at halve star thank you!

supplementary angles are when two angles sum up to 180 degrees.

∠x and ∠y are supplementary angles

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

Answer:

64°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°.

∠x + ∠y = 180° <== substitute 116° for ∠y

∠x + 116° = 180° <== subtract 116 from both sides

     - 116    - 116

∠x = 64° <== measure of ∠x

Therefore, the measure of ∠x is 64°

Hope this helps!

Answer:

3,969

Step-by-step explanation:

If n is a perfect square, then the last digits of the prefect square must be 3 or 7  because n ends in 9.

Since n is 4 digits the number can only land between 33 and 97.

(33, 37, 43, 47, 53, 57, 63, 67, 73, 77, 83, 87, 93, 97)

squared- 1089, 1369, 1849, 2209, 2809, 3249, 3969, 4486, 5329, 5939, 6889, 7569, 8649, 9409

possible answers- 2209, 3969, 4486, 5939, 6889, 9409

2+2+0+9 = 13

3+9+6+9 = 27

4+4+8+6 = 22

5+9+3+9 = 26

6+8+8+9 = 31

9+4+0+9 = 22

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

Hey there!

Let's solve your inequality step-by-step.

[tex]\fbox{5y+4≤22−y}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\fbox{5y+4≤−y+22}[/tex]

Step 2: Add y to both sides.

[tex]\fbox{5y+4+y≤−y+22+y}[/tex]

[tex]\fbox{6y+4≤22}[/tex]

Step 3: Subtract 4 from both sides.

[tex]\fbox{6y+4−4≤22−4}[/tex]

[tex]\fbox{6y≤18}[/tex]

Step 4: Divide both sides by 6.

[tex]\fbox{6y/6 ≤ 18/6}[/tex]

[tex]\fbox{y≤3}[/tex]

Answer:

[tex]\fbox{y≤3}[/tex]

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Answer:

1/3

Step-by-step explanation:

add all of the totals including the missing pair

we now have 24

7+1 is 8

24 minus 8 is 16

24 can be split into 2 groups of 8

and we have 2/3 left. which makes our solution 1/3

Answer:

C

Step-by-step explanation:

Hope this helps :D