What is the prime factorization of 20 in exponential form?

Answer:

Step-by-step explanation:

First find the length of the two equal sides. Use Pythagoras.

c^2 = a^2 + b^2

c = ?

a = 7

b = 1/2 48 = 24

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625                Take the square root of 625

√c^2 = √625

c = 25

Both of the equal sides = 25

Perimeter and answer = 25 + 25 + 48 = 98

Answer: 25 + 25 + 48 = 98

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

First, let's solve the inequality.

Step 1: Subtract 6 from both sides.

Step 2: Divide both sides by 5.

Now that we know x has to be less than 2.6, we can easily assume the largest integer value that satisfies the inequality is when x = 2

take a peek at your Unit Circle, let's notice that in Quadrant IV the cosine is positive and the sine is negative, or namely the adjacent side is positive and the opposite side is negative, so hmmm

[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{4}}{\underset{hypotenuse}{41}}\qquad \impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{41^2-4^2}=b\implies \pm\sqrt{1665}=b\implies \pm 3\sqrt{185}=b\implies \stackrel{IV~Quadrant}{-3\sqrt{185}=b} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill sin(\theta )=\cfrac{\stackrel{opposite}{-3\sqrt{185}}}{\underset{hypotenuse}{41}}~\hfill[/tex]

Answer:

2X²+2X+7

Step-by-step explanation:

(4X²-4X+3) – (2X²-6X-4) = 4X² – 4X + 3 –2X² + 6X +4

=2X² + 6X +7

The best ticket deal are illustrations of linear equations

The ticket system is a better deal to the max ticket

From the complete question, we have the following summary:

Charges = $22 per person

Surcharge = $10 per transaction

Charges = $20 per person

Surcharge = $16 per transaction

Assume there would be only one transaction, the linear equations that represent the ticket deals are:

Ticket System: y = 22x + 10

Max Ticket: y = 20x + 16

The costs of ticket for two people in both deals are:

Ticket System: y = 22*2 + 10 = 54

Max Ticket: y = 20*2 + 16 = 56

By comparison;

54 is less than 56

This means that the ticket system is a better deal to the max ticket

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Answer:

24

Step-by-step explanation:

42 + x = 2 (9 +x) (solve for x)

42 + x = 18 + 2x

42 -18 = 2x -x

24 = x

42 + 24 = 66

9 + 24 = 33

When the man turns 66, his son will be 33, or half his age.

Answer:

Step-by-step explanation:

The correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.

A polygon with three vertices, angles and sides is called a triangle.

Given is a triangle with angle measures of 60° and 80°,

We need to choose the correct statement from the given options,

Calculating the 3rd angle, let its measure be x,

60° + 80° + x = 180°

x = 40°

Since, all the angles are different therefore, the sides will also be different,

Also, all the angles are less than 90°, therefore, the triangle is an acute triangle,

Hence, the correct statements about the given triangle are : All sides have different lengths, The third angle measures 40°, It is an acute triangle.

Learn more about triangles, click;

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Answer:

3 because we'll I don't know

Answer:

GH 1200

Step-by-step explanation:

Salary = GH6000

Allowances= GH2000

Taxable income = (Salary + Allowances)

Taxable income = GH6000 + GH2000

=GH8000

Tax rate = 15%

Tax = GH8000 X 15/100

= GH 1,200

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4[/tex]

The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The mean of a normally distributed population from a sample.

The confidence level of 74%.

Then the margin of error is given as

Margin of error = 1 – α

Margin of error = 1 – 0.74

Margin of error = 0.26

The margin of error when the confidence level of 74% is 0.26. Then the correct option is B.

More about the margin of error link is given below.

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Answer:

0.26 or B

Step-by-step explanation:

Answer:

See below, please.

Step-by-step explanation:

[tex]45 \div ( \frac{3}{4} ) = 60[/tex]

Hence, the number is 60.

Answer:

60

Step-by-step explanation:

¾ of X is 45

what is X!???

Answer:

p = 12 °

Step-by-step explanation:

p + ( p + 6 ) = p + 41

2p + p = 41 - 6

3p = 35

3p/3 = 35/3

p = 11.6

p = 12 °

Answer:

X=100 number of individuals who use public transportation

n =140 number of people surveyed

The estimated proportion is given by:

And that represent 71.4%

Step-by-step explanation:

Answer:

1. rearrange the equation and transform it into y=mx+b format.

2. Plot y-intercept on the graph for one the equations

3. Graph second equation by using b, or y-intercept

4. Shade above or below the graph, depending on what inequality symbol is used to represent each equation.

Step-by-step explanation:

In the answer above, hope it helps!
Have a great day :)

Answer:

[tex] \sqrt{63} = 7.9[/tex]

So between 7 and 8

Values which are written in proper scientific notation are:

[tex]-3.5*10^4\\3.5*10^4\\3.5*10^-4[/tex]

What is scientific notation?

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

The given numbers are

[tex]1)-350\\2)-3.5*10^4\\3)0.000350\\4)3.5*10^4\\5)3.5*10^-4\\6)35*10^-5\\7)3500[/tex]

As we can see that every number except first, third, sixth and seventh number has been written according to the definition of scientific notation mentioned above.

Therefore, values which are written in proper scientific notation are:

[tex]-3.5*10^4\\3.5*10^4\\3.5*10^-4[/tex]

To get more about scientific notation visit:

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Answer:

6*6*6=216

Step-by-step explanation:

To find length you use length*width*height

Since it is a cube are the side are equal to 6

To solve you can do   6*6*6 or 6^3 to get you to your answer which is 216

Answer:

what situation

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

this is a linear function. the general shape of a exponential function is : y = ax^b + c

Answer:

41%

Step-by-step explanation:

It is 41% because it says 0.41 people like math and converting decimals to percents it would be 41% because 0.41 is decimal form for 41%

But don't forget to add my vote for favorite subject is ma ma ama ma ma ma ma ma ma ma ma math.

Hope it helps have a great afternoon:)

Answer:

Step-by-step explanation:

Answer:

x>

.

x>\frac{53}{6}

Step-by-step explanation:

12x>140−34

2 Simplify 140-34140−34 to 106106.

12x>106

12x>106

3 Divide both sides by 1212.

x>\frac{106}{12}

Answer:

See pic below

Step-by-step explanation:

Use a method of graphic vector addition.

See the picture below.

Answer: {−4,7} is y=x2−3x−28 y = x 2 - 3 x - 28 .

Step-by-step explanation: so all ways do y and x first

Answer:

G is the true proportion in ∆ABC and ∆DEF

Answer:

G, 4/6 = x/7

Step-by-step explanation:

This is because the two pairs x/7 and 4/6, are corresponding to each other and are formatted in the right order.

Answer:

22.2 feet

Step-by-step explanation:

Treat the ladder, building, and the ground between the bottom of the ladder and the building as the legs of a right triangle.

Then, you can use the Pythagorean Theorem.

X^2 + Y^2 = Z^2

The ladder is the "diagonal" side, so it is the hypotenuse, Z.

It doesn't particularly matter whether the building is X or Y; the end result will be the same.

Therefore:

(23)^2 + Y^2 = (32)^2

Y^2 = (1024 - 529) = 495

Y = 22.249; rounded to the nearest tenth, 22.2 feet

I hope this helped! :)

First, we make the denominators of 1/4 and 3/8 the same as the LCM (= 8)

-> 1/4 = 1 x 2 / 4 x 2 = 2/8
-> 1 - ... = 2/8 + 3/8 = 5/8

The missing fraction = 1 - 5/8 = 3/8.

Answer:

B.

We know that angle 1 has a measure of 55 degrees

That means angle 2 is 125 degrees

This is because the two angles have to have a sum of 180

So, angle 3 is 55

Angle 4 is 125

Angle 5 is 55

Angle 6 is 125

Angle 7 is 55

Angle 8 is 125

C.

1: False - Skew lines are an example of lines that do not intersect but are not parallel

2: True - Skew lines are in 3-dimensional geometry and do not intersect. They are not parallel, though.

3: False - Perpendicular lines are lines that intersect to form a 90-degree angle

4: True - Parallel lines lie in a plane together but never intersect

5: True - Parallel lines are coplanar, meaning they coexist on one plane