In how many ways can the letters in a word spoon be arranged?

[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]

Answer:

D, C, A, B

Step-by-step explanation:

Find common factor:

60 is the common denominator

2/5=24/60

2/3=40/60

1/4=15/60

1/10=6/60

Answer:

A. 2/5 = 0.4

B. 2/3 = 0.66

C. 1/4 = 0.25

D. 1/10 = 0.1

Arranging them in the box we have

D , C , A , B

Since D is the smallest followed by C followed by A followed by B which is the largest

Hope this helps

Answer: true

Step-by-step explanation:

Answer:

The first choice.

Step-by-step explanation:

Direct variation is represented by y = kx where k is a constant and the graph passes through the origin.

Here k = 3..

Answer:

B.

Step-by-step explanation:

ABC ≅ XYZ

∠A≅∠X

∠B≅∠Y

∠C≅∠Z

Also, should be

AB =XY

BC=YZ

CA=ZX

By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.

Answer B.

Answer:

8.75 km.

Step-by-step explanation:

You can set up a ratio of the map to the actual distance of [tex]\frac{1}{50000}[/tex].

Then, this ratio can be used to cross multiply and divide to get an equivalent ratio for the distance:

[tex]\frac{1}{50000}[/tex]=[tex]\frac{17.5 cm}{x cm}[/tex] By cross-multiplying we have x (in centimeters) = 17.5×50000. This tells us that x = 875,000 cm.

However, the answer asks for the distance in kilometers, so we need to convert it. There are 100,000 centimeters in a kilometer, so by dividing: 875000÷100000=8.75 kilometers.

Answer:

D

Step-by-step explanation:

A is not right as we don't know the formula used so we cant say the x intercept

B is not right as the function is not liner

C The function is not liner

That leaves D!

hope this helps!

Answer:

D

Step-by-step explanation:

Answer:

m∠QPR = 20°

Step-by-step explanation:

Step 1: Find x

4x + 27 + 9x - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Step 2: Find m∠QPR

9(15) - 115

135 - 115

m∠QPR = 20°

Answer:

It is 49

Step-by-step explanation:

Divide 98 by 2 to get semicircle radius.

Answer:

49 meters

Step-by-step explanation:

The radius is half of the diameter

98 divided by 2 is 49 which is the radius of the semicircle

Answer:

They have 23 dimes

Step-by-step explanation:

Let x be the number of dimes

1 dime = 0.1 dollar

x dimes = 0.1x dollars

They found there were 14 more quarters than dimes.

No. of quarters = x+14

1 quarter = 0.25 dollar

(x+14) quarter =0.25 (x+14)

The number of nickels was 8 less than 4 times the number of dimes.

So, No. of nickels= 4x-8

1 nickel = 0.05 dollar

(4x-8) nickel = 0.05(4x-8) dollar

The total value of the nickels, dimes, and quarters was $15.75.

So,0.1x+0.25 (x+14)+ 0.05(4x-8)=15.75

x=23

Hence they have 23 dimes

Answer:

  O True

Step-by-step explanation:

If we substitute (x, y) = (0, 0) into both inequalities, we have ...

  0 < 2·0 +4   ⇒   0 < 4 . . . true

  0 > -2·0 -2   ⇒   0 > -2 . . . true

The point (0, 0) satisfies both inequalities, so is contained in the solution set.

Answer:

Translation

Step-by-step explanation:

Answer:

D. Rotation then translation

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i have no flipping i think im wrong

Answer:

840

Step-by-step explanation:

Let x be the total earning.

3/4 × x = 630

x = 630 × 4/3

x = 840

The worker’s total earning for the month is 840.

Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Answer:

71

Step-by-step explanation:

4, 7, 12, 21, 38, ...

next term:

nth term:

Answer:

x = -1

Step-by-step explanation:

4x + 4 = 0

Subtract 4 on both sides.

4x = 0 - 4

4x = -4

Divide both sides by 4.

x = -4/4

x = -1

Answer:

So the value of x is -1

Step-by-step explanation:

4x+4=0

Subtracting 4 on both sides

4x+4-4=0-4

4x=-4

Dividing 4 on both sides

x=-4/4

x=-1

Answer:

3

Step-by-step explanation:

Solution: 25 × $9.85= $246.25 purchase price

25 × $11.22 = $280.5 sale price

$280.5 – $246.25 = $34.25 profit in dollars

$34.25 ÷ $246.25 = 0.139 = 13.9% ROI

Purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

" Purchase price is defined as the total amount paid to buy any product."

Formula used

Profit = Selling price - Purchase price

Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]

According to the question,

Total number of shares = 25

Purchase price of one share =  9.85 dollars

Selling price of 1 share = 11.22 dollars

Therefore,

Purchase price of 25 shares = (9.85 × 25 )dollars

                                               = 246.25 dollars

Selling price of 25 shares = (11.22 × 25) dollars

                                           = 280.5 dollars

Selling price > Purchase price

Therefore,

Profit = Selling price - Purchase price

         = 280.5 - 246.25

         = 34.25 dollars

Substitute the value in the formula we get,

Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]

                              = 13. 9 percentage ( nearest tenth)

Hence, purchase price of the share is equals to 246.25dollars.

Profit percentage is equals to 13.9 percentage ( nearest tenth).

Learn more about purchase price here

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The probability that a student chosen randomly from the class plays basketball or baseball is 0.56. 

We are able to utilize the equation:

P(B or b) = P(B) + P(b) - P(B and b)

where

B speaks to playing ball

and b speaks about playing baseball.

From the given data, we have:

P(B) = 5/27 (the likelihood of playing ball)

P(b) = 12/27 (the likelihood of playing baseball)

P(B and b) = 2/27 (the likelihood of playing both sports)

Substituting these values into the equation, we get:

P(B or b) = P(B) + P(b) - P(B and b)

= 5/27 + 12/27 - 2/27

= 15/27

= 5/9

Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56. 

To know more about probability refer to this :

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Answer:

Answer: Choice C)  

Stretched vertically, flipped over x axis, shifted 7 units down

Step-by-step explanation:

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.

We have the following functions -

f(x) = x³

g(x) = -2x³

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.

Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

To solve more questions on straight lines, visit the link below-

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Answer: [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

When any number has a negative exponent, all the negative exponent is doing is flipping the sides.

When we plug -3 in for x we get [tex]-3^{-2}[/tex].

Now just imagine the -3 in fraction form as [tex]\frac{-3}{1}[/tex]. And all you do now is just flip the sides to get [tex](\frac{1}{-3} )^{2}[/tex]

And now apply the exponent 2 to the 1 and negative 3.

1 to the power of 2 is just 1

-3 to the power of 2 is 9.

So your answer is [tex]\frac{1}{9}[/tex]

Answer:

I think A

Step-by-step explanation:

I'm not really sure but I think it's A assuming the triangle is not an equilateral

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of ration is written as 58:42.

The ratio has the greatest common factor as 2.

58÷2:42÷2

29:21

The simplified ratio becomes 29:21.

Answer:

a = - 3, b = 5

Step-by-step explanation:

To rationalise the denominator multiply the numerator/ denominator by [tex]\sqrt{2}[/tex]

= [tex]\frac{\sqrt{2}(10-\sqrt{18}) }{(\sqrt{2})^2 }[/tex]

= [tex]\frac{10\sqrt{2}-\sqrt{36} }{2}[/tex]

= [tex]\frac{10\sqrt{2}-6 }{2}[/tex]

= 5[tex]\sqrt{2}[/tex] - 3

= - 3 + 5[tex]\sqrt{2}[/tex] ← in the form a + b[tex]\sqrt{2}[/tex]

with a = - 3 and b = 5

Answer:

16ft

Step-by-step explanation:

Each side is 2 units long, 2^4 or 2x2x2x2 is 16.

Answer:

6

Step-by-step explanation:

rearrange the numbers from smallest to biggest:

-19, -14, -9, -3, 6, 8, 14, 19, 20

the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5

find the fifth piece of data from the rearranged order.

ans: 6

Answer:

6

Step-by-step explanation:

gotchu G

Answer:

D.

Step-by-step explanation:

So angle 2 = 180 - angle 1

Angle 1 = angle 3 + angle 4.

Angle 2 = 180 - angle 3 - angle 4

So, you can come to the conclusion that (angle 1 + angle 2) = 180°

and (angle 3 + angle 4 + angle 2) = 180°