The square below represents one whole.

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

  4, 3

Step-by-step explanation:

The distributive property applies the outside factor to each term inside parentheses.

  \(8\times(4+3)=(8\times\boxed{4})+(8\times\boxed{3})\)

Answer:

B

Step-by-step explanation:

A quadratic function is a polynomial function which has a degree of 2, and is generally expressed in standard form: \(ax^2+bx+c\text{ where }a\ne 0\). The degree of a polynomial function can be determined by looking at which term has the largest exponent.

By looking at both options, B would be the correct option as it is a polynomial function with degree 2, while option A is a polynomial function with degree 1, also known as a linear equation.

Answer:66.667

Step-by-step explanation:

9514 1404 393

Answer:

  108

Step-by-step explanation:

The circumference of a circle is given by ...

  C = 2πr

The circle shown has a radius of 9 in, so the circumference is ...

  C = 2π(9 in) = 18π in

__

When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...

  dilated C = 6(18π in) = 108π in

The multiplier of π inches is n = 108.

Answer:

\(C.2\sqrt{2}\)

Step-by-step explanation:

Step 1: Know you can split 8 into factors of 4 and 2

\(\sqrt{(4)(2)}\)

Step 2: Recognize 4 is a square number

\(\sqrt{(2^{2})(2) }\)

Step 3: Because \(2^{2}\)  is squared you can move it out

\(2\sqrt{2}\)

Therefore the answer is C

Given the points : ( 0 , 2 ) and ( 1 , -3 )

The general equation of the line is :

Where m is the slope and b is the y- intercept

the slope of the line is :

Given the point ( 0 , 2 ) which represents the point of y - intercept

So, b = 2 ( the value of y when x = 0 )

So,

Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

c to the 6th power

Step-by-step explanation:

The explanation for this is because when you are multipliying exponents, you really just have to add the numbers together. c to the power of 3 + c to the power of 1 is c to the power of 4 and c to the power of 4 + c to the power of 2 is c to the power of 6

Answer:

c⁶

Step-by-step explanation:

Let's rewrite this expression; that way it'll be easier to work with (these parentheses can be a little confusing)

Now we just multiply the powers together:

3*2*1

6

Thus:

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the function that models the inverse variation: y = 48/x. This can be solved using the formula of equation.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

It is given that, x and y vary inversely

x - 12 = 0

therefore, x = 12

y - 4 = 0

therefore, y = 4

Equation of inverse variation is: y = c/x

4 = c/12

c = 48

Thus, equation of inverse variation is: y = 48/x

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Answer:

Opal saves more

Step-by-step explanation:

Answer:

To one decimal place,

y = 16.3 m

Step-by-step explanation:

Using SOHCAHTOA,

In this case we need to use CAH,

WE know the angle = 25 and the hypotenuse H = 18,

so,

y = adjacent

\(cos(angle) = y/H\\y = (18)(cos(25))\\y = 16.3135\\y = 16.3\)

Answer: 16.3 in.

Step-by-step explanation:

use SOH CAH TOA

cos x = adj/hyp

cos 25  = y/18

18 cos 25  = y

y= 16.3

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681\)

Answer:

28

Step-by-step explanation:

add 10,13,17 which gives us 40 then subtract 12 from 40

Answer:

A. −3–√+2

B. 2–√.3–√

C. 27−−√.3–√

D. 57–√+2−57–√

E. 6–√+32–√

All the expressions are irrational because they all contain the square root of a number that cannot be represented as a ratio of two integers. The square root of a number is considered irrational if it cannot be simplified to a fraction of two integers.

Step-by-step explanation:

Answer:

f(-7) = -19

Step-by-step explanation:

Let us solve the problem

∵ f(x) = 2x - 5

∵ g(x) = -3x - 1

∵ h(x) = 2x² + x - 7

→ We need to find f(-7), that means substitute x in f(x) by -7

∵ x in f(x) = -7

∵ f(x) = 2x - 5

∴ f(-7) = 2(-7) - 5

→ Calculate 2 × (-7)

∴ f(-7) = -14 - 5

→ Add them

∴ f(-7) = -19

The value of the expression; 6 × 10 + 4³ as given in the task content is; 124.

It follows from the task content that the value of the expression given in the task content; 6 × 10 + 4³ is to be determined.

Hence, the value of the expression can be evaluated using PEMDAS guidelines as follows;

Since the given expression is;

6 × 10 + 4³

Since the exponent, so that we have;

6 × 10 + 64

Next, solve the multiplication, so that we have;

60 + 64

= 124.

On this note, the value of the expression is; 124.

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Answer:

Step-by-step explanation:

144

The area of the picture of the doghouse will be 66 square inches.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

The figure is the combination of two congruent triangles and one rectangle. Then the area is given as,

A = 2 (Area of triangle) + (Area of rectangle)

A = 2 x 1/2 x 3 x 6 + 4 x 12

A = 18 + 48

A = 66 square inches

The area of the picture of the doghouse will be 66 square inches.

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Explanation:

The requirements for a probability distribution are this

Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.

We can also rule out choice D since the probabilities sum to this

0.20+0.15+0.20+0.20+0.20+0.20 = 1.15

The sum is too large. The sum needs to be 1.00 or just 1.

So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.

For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.

Answer:

B is right

Step-by-step explanation:

Guy above me is correct

Answer:

Mar 17, 2016 · Baby Preston weighed 7 pounds 3 ounces at birth. Convert his weight to ounces. 115 ounces. Baby Audrey weighted 6 pounds 15 ounces at birth. Convert her weight to ounces. Use Mixed Units of Measurement in the U.S. System. In the following exercises, solve. Eli caught three fish. The weights of the fish were 2 pounds 4 ounces, 1 pound 11 ounces ...

Author: Lynn Marecek, MaryAnne Anthony-Smith

Publish Year: 2015

Step-by-step explanation:

Answer:

115 oz

Step-by-step explanation:

1 lb equals 16 oz

7 x 16 = 112 oz

112 + 3 = 115 oz

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The solution to the equation x3 + 2x - 16 = 16 x2 + 16 is approximately x = -2.4 and x = 4.4 when using the intersection of two graphs method.

To use the method of the intersection of two graphs to find the solution of the equation x^3 + 2x - 16 = 16 x^2 + 16, we first need to graph both equations on the same coordinate system. Then, we can look for the points where the two graphs intersect, which will correspond to the solutions of the equation.

First, let's rearrange the equation into the form f(x) = g(x), where f(x) = x^3 + 2x - 16 and g(x) = 16x^2 + 16. This gives:

x^3 + 2x - 16 = 16x^2 + 16

or

x^3 - 16x^2 + 2x - 32 = 0

We can see that the two graphs intersect at two points, which correspond to the solutions of the equation. Using the graph, we can estimate the solutions to be approximately x = -2.4 and x = 4.4.

To get a more precise estimate of the solutions, we can use numerical methods such as Newton's method or bisection method. Alternatively, we can use algebraic methods such as factoring or the rational root theorem to find the exact solutions.

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Answer:

x = 27.

Step-by-step explanation:

27 cubed is 3. 3-2 is 1. So for y to equal 1 x has to be 27.

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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1) Note that the fire advanced  2697.55 ft. in the 6 minutes that the ranger was observing it.

2) the speed in MILES/HR that the fire advanced towards the ranger is 5.11 miles per hour. Note that this prompt is a unit conversion prompt.

1) Let 'd' represent the distance that the fire advance during the 6 minutes.

d = 3334/(tan(10.5)) - 3334 (tan (12.3)

d = (3334/0.18533904493) - (3334 /0.21803526043)

d = 17988.6542593289 - 15291.1047205155

d = 2697.5495388134

d \(\approx\)  2697.55 ft.

2) to compute the speed, in Miles/ Hours, we need to first convert both distance and time into Miles and Hours respectively.

Recall that:

1 foot = 0.000189394 miles; thus,

2697.55 = 0.5108997847 Miles

Also, recall that

1 minute = 0.0166667 hours.

Thus, 6 minutes in hours =

0.0166667  * 6

= 0.1000002 hours.

Since speed = distance/time

Thus, the speed  = 0.5108997847/ 0.1000002

= 5.1089876290 thus,

Speed \(\approx\) 5.11 miles/Hour

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