What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%

Answer:

1/12

Step-by-step explanation:

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b)  y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

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Answer:

a. {(0, 7), (-1, 6)}

Step-by-step explanation:

[tex]y = x^{2} +2x+7\\y=x+7[/tex]

subtract the equations

[tex]y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1[/tex]

for [tex]y = x^{2} +2x+7[/tex], substitute x = 0

[tex]y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7[/tex]

for [tex]y = x^{2} +2x+7[/tex], substitute x = 0

[tex]y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6[/tex]

Answer:

A

Step-by-step explanation:

An estimate of the number of defective televisions that are made each day is 150.

The first step is to determine the ratio of the televisions sampled to the total number of televisions produced each day.

1000 / 40 = 25

The second step is to multiply, 25 by 6: 25 x 6 = 150

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Answer:

1:19

2:20

3:21

4:22

Step-by-step explanation:

I think that's the answer

The number of the cups of honey has she collected will be 52 and 2/3 cups.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Gerrie collects honey from a few beehives.

She scoops out the honey with a small jar that holds 1/3 of a cup.

Over the last two weeks, Gerrie has filled this jar 158 times.

1 small jar = 1/3 cup

But we have done this for 158 times. Then we have

158 small jar = 158 x 1/3 cups

158 small jar = 52 and 2/3 cups

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Answer:

The graph does show a linear function

Step-by-step explanation:

The line is decreasing at a constant rate that keeps the line straight.

By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.

In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:

By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.

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Answer:

29.44

Step-by-step explanation:

Since we know the both the measure of the angle and the adjacent line of the angle, we can use tan to find x.

tan is (Opposite/Adjacent Line)

[tex] \tan(31) = \frac{x}{49} \\ 49 \tan(31) = x \\ 29.44 = x[/tex]

That is the answer

- Kan Academy Advance

The simplified form of the given expression is tan(r) + cot(r) - 2

From the question, we are to simplify the given trigonometric function

The given trigonometric function is

[tex]\frac{(1-cot(r))^{2} }{cot(r)}[/tex]

Expanding, we get

[tex]\frac{(1-cot(r))(1-cot(r)) }{cot(r)}[/tex]

Simplifying

[tex]\frac{1 - 2cot(r) +cot^{2}(r) }{cot(r)}[/tex]

[tex]\frac{1}{cot(r)} -\frac{2cot(r)}{cot(r)}+\frac{cot^{2}(r) }{cot(r)}[/tex]

[tex]\frac{1}{cot(r)} -2+cot(r)[/tex]

Recall: [tex]tan(x) = \frac{1}{cot(x)}[/tex]

Therefore, we get

[tex]tan(r) -2 + cot(r)[/tex]

[tex]tan(r) + cot(r)-2[/tex]

Hence, the simplified form of the given expression is tan(r) + cot(r) - 2.

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Using the combination formula, it is found that 15,876 teams would include Julia.

The order in which the people are chosen to the team is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Hence the number of teams is given by:

[tex]C_{9,5} \times C_{9,4} = \frac{9!}{5!4!} \times \frac{9!}{5!4!} = 15876[/tex]

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Answer: Heyaa! ~

Your Answer in simplified form is... −19√2

Step-by-step explanation:

2√2-7√18 = −19√2

Hopefully this helps you! ~

Answer:

BC ≈ 11.8 m

Step-by-step explanation:

using the tangent ratio in the right triangle

tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] , that is

tan32° = [tex]\frac{x}{BC}[/tex] = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )

BC × tan32° = 7.4 ( divide both sides by tan32° )

BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )

Answer:

[tex]\{4,-4\}[/tex]

Step-by-step explanation:

[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]

Answer:

x = 4

Step-by-step explanation:

x² = 16

We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides

[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4

to confirm this, we can square 4, which gets us 16.

Hope this makes sense! Feel free to ask anything further if need be.

- profparis

Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

The volume of the cylindrical can of ground coffee is 19.6 inches cube.

volume of the can ground coffee = πr²h

where

Therefore,

r = 1 inches

h = 6 1 / 4 = 25 / 4 inches

volume of the can ground coffee = 3.14 × 1² × 25 / 4

volume of the can ground coffee = 78.5 / 4

volume of the can ground coffee = 19.6 inches³

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Answer:

300,000

Step-by-step explanation:

423 x 764 = 323,172

There are different kinds of polygon. The number of sides that this polygon have is 5.

Note that the side of each polygon = 3.5

The parameter of  polygon  =17.5

Therefore the number of sides =  parameter of  polygon /  parameter of  polygon  

So =      [tex]\frac{17.5}{3.5}[/tex]

=5

Therefore, The number of sides that this polygon have is 5.

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Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.

These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.

This influences the real gross domestic product and inflation rate of the country .

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Answer: Monetary and Reserve Bank

Step-by-step explanation:

;)

The weight of the spherical sculpture in pounds is approximately 251607 pounds

The sculpture is spherical and its made of solid bronze.

Therefore,

density  =  mass   /   volume

where

density  =  7700  kg  / m³

volume  = 4 / 3πr³

volume = 4/ 3  × 3.14  × 1.524³

volume  =  44.4574491494 / 3

volume = 14.8191497165 m³

Therefore,

mass = 7700 × 14.8191497165

mass = 114107.452817 kg

1 kg = 2.205 pounds

114107.452817 = ?

cross multiply

mass in pounds = 114107.452817 × 2.205

mass in pounds = 251606.933461

mass in pounds = 251607 pounds

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Answer: A compass.

Step-by-step explanation: an instrument for drawing circles and arcs and measuring distances between points, consisting of two arms linked by a movable joint, one arm ending in a point and the other usually carrying a pencil or pen.

Answer:

Ann bought 32 ounces of cheese.

Step-by-step explanation:

First of all, that is a lot of cheese, I hope she is not lactose intolerant.

Second of all, one pound is equivalent to 16 ounces. Given this, we can multiply the pounds of cheese by 16.

That would look like 2×16=32.

I hope this answer helped you and also made you laugh. It is correct though, despite the comedy.

Answer: 5 levels

Step-by-step explanation:

      We will set up a system of equations and solve. Let x be the number of levels beaten, and let y be the number of total points.

          Miguel's version:

              y = 1x + 25

          Lauren's version:

              y = 2x + 20

      Now, we will graph both equations. The x-coordinate of the point-of-intersection is the answer to our question.

          See attached.

             The lines intersect at (5, 30) meaning they will have the same number of points after 5 levels, with 30 points.

Based on the information provided, the statement which is a valid conclusion is only: option A.

A valid conclusion can be defined as a statement that is essentially based on empirical data, formulated hypotheses, facts, and prudent experimental design, which entails that relationship between data variables are reasonable, credible and valid.

Based on the information provided, the statement which is a valid conclusion is that the botanist can make inferences for all plants, and he can draw his conclusion that the fertilizer would help all plants grow taller.

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Answer: C

Step-by-step explanation:

Inferences can be made for these types of plants, and the conclusion can be drawn that the fertilizer will help these types of plants grow taller

Answer:

Step-by-step explanation:

Simplify in steps, using below properties of exponents:

Correct choice is D

Answer:

[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]

Rewrite 4 as (3 + 1) and 5 as (3 + 2):

[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]

[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]

Rewrite 4/3 as 1 + 1/3:

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]

[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]

Answer:

Step-by-step explanation:

x² - 3x - 28

What factors multiply to -28 and add to -3?

-7 and 4.

(x - 7) (x + 4)

Answer:

(x - 7)(x + 4)

Step-by-step explanation:

To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?

Simple guess-and-check will lead you to the numbers -7 and 4.

-7 x 4 = -28

-7 + 4 = -3

These numbers will make up the factored equation.

x² - 3x - 28

(x - 7)(x + 4)

You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.

(x - 7)(x + 4)  ---->  x² - 7x + 4x - 28  ---->  x² - 3x - 28

Answer:

They use collected data to recognize trends, predict outcomes, and plan for the future.

Step-by-step explanation:

Answer

I don’t quite understand what your asking but I hope this helps

y=3x-13

Step-by-step explanation: