Multiply. State the product in simplest form..
p²-4p-12
18p
6p+12 p²-9p+18
, p‡ - 2,3,6

Answer:

9 millimeters long

Step-by-step explanation:

A square has 4 sides, which are all of the same length.

This means that the square piece of confetti will have side lengths of the same length as well.

So, find how long each side is by dividing 36 by 4:

36/4

= 9

So, each side is 9 millimeters long

The following expressions have length dimensions: a. at b. x3/t

d. √2ax

a. at: has a dimension of m because it is the product of acceleration (m/s2) and time(s). b. 1/2at2: has a dimension of m because it is the product of acceleration (m/s2) and time(s) squared. c. x3/t: has a dimension of m because it is the product of distance x (m) cubed and time(s).

e. v2/a: is a product of velocity (m/s) squared and acceleration (m/s2) thus it doesn't have a dimension of length. d. 2ax: is a product of 2, distance x (m), and acceleration (m/s2) so it has dimension of m.

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According to the image, the missing angle is 100°.

When we want to calculate an angle of a triangle we must take into account the following information:

If we know the value of two angles (angles 2 and 3) of the triangle we must add the measure of the two angles we know.

Now we must subtract the sum total of the two known angles from 180°.

So the value of angle 1 would be 100°. Additionally, 180° is a rule that we must follow, because the angles of a triangle must always add up to 180°.

Note: This question is incomplete. Here is the complete information:

Image attached

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Answer:

Option B) A and C

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

10x + 80 < 90

10x < 90 - 80

10x < 10

x < 1

A factor is a natural number that can be multiplied by another natural number to get a value. The greatest common factor refers to when one compares the factors of two numbers, the largest natural number that both numbers have in common is the number's greatest common factor.

In the case of (\(m^2\)) and (\(m^4\)), the greatest common factor is (\(m^2\)) because there are no factors of (\(m^2\)) that are larger than it. No number can have a factor larger than itself. Since (\(m^2\)) is also a factor of (\(m^4\)) it is the greatest common factor of the two numbers.

Answer:

42 feet

Step-by-step explanation:

1 inch = 6 feet

  then multiply both sides by 7

7 inches = 42 feet

Step-by-step explanation:

AD=AE

BD=EC

D=E

....ABD=ACE

Answer:

coreect answer you have selected the corect answer

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

hope this helps!! have an amazing day <3

The mistake that Rafael made is interchanging the y-values with the x-values.

The real slope of the line is 25.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (100 - 50)/(4 - 2)

Slope, m = 50/2

Slope, m = 25.

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The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Let a (n) denote the n-th term in the progression. Consecutive terms in the sequence differ by a fixed constant - call it c - such that

a (n) = a (n - 1) + c

Let a = a (1) be the first term in the sequence. We can solve for a (n) in terms of a alone:

a (n) = a (n - 1) + c

a (n) = (a (n - 2) + c) + c = a (n - 2) + 2c

a (n) = (a (n - 3) + c) + c = a (n - 3) + 3c

and so on, down to

a (n) = a + (n - 1) c

The sum of the first n terms is then

\(\displaystyle\sum_{k=1}^n a(k)=\sum_{k=1}^n(a+(k-1)c)=a\sum_{k=1}^n1+c\sum_{k=1}^n(k-1)=an+\frac{cn(n-1)}2=\frac c2n^2+\left(a-\frac c2\right)n\)

Since this is equal to 3n ^2 + 5n, it follows that

c/2 = 3   =>   c = 6

a - c/2 = 5   =>   a = 8

So the sequence is

a (n) = 8 + (n - 1) 6 = 6n + 2

The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

As per the given equation,

x² = 5(x + 210)

x² = 5x + 1050

x² - 5x - 1050 = 0

x² - 35x + 30x - 1050 = 0

x(x - 35) + 30(x - 35) = 0

(x + 30)(x - 35) = 0

x = -30 and x = 35

Hence "The real solution of the given equation by factoring x² = 5(x + 210) will be -30 and 35".

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The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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In order to find the total yards that the team gained or lost, we need to sum the three results: plus 3, minus 5 and plus 9.

So the total number of yards the team GAINED is 7.

Answer:

339.29

Step-by-step explanation:

total circle area = 452.39

why?

because area of circle equation = pi * r^2

pi is the weird symbol. pi = 3.14

r = radius

r = 12

3.14 * 12^2 = 452.389342

simplified to 452.39.

but that is the whole thing.

we want only the shaded area.

first we will find the area the not shaded bit. then we will minus the total area, 452.39, by the not shaded bit so we only have the shaded bit.

again, area of circle equation = pi * r^2

r = 6.

3.14 * 6^2 = 113.097336

this is the not shaded bit. it can be simplified to 113.1

total area - not shaded bit = shaded bit

452.39 - 113.1 = 339.29

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

Two step equations are equations which take 2 steps to solve. Let's create our equation now.

2p + 2 = 3

If you'd like, you can solve it to ensure it's correct.

2p + 2 = 3

Subtract 2 from both sides.

2p = 1

Divide both sides by 2

p = 0.5

Step-by-step explanation:

5% of 483759 is 24187.95

Answer: The answer is 24,187.95

Step-by-step explanation:

483759 Multiplied by 0.05 = 24,187.95

Answer:

0.11

Step-by-step explanation:

0.44/x=100/25

(0.44/x)*x=(100/25)*x

0.44=4*x

0.44/4=x

0.11=x

Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

The sum of the given expression is (8z³ + 4z² - 8).

Given, an expression

(-2z² + 4) + (8z³ + 6z² - 12)

Now, we have to find the sum of the given expression,

On simplifying, we get

= (-2z² + 4)+(8z³ + 6z² - 12)

=  -2z² + 4 + 8z³ + 6z² - 12

= 8z³ - 2z² + 6z² - 12 + 4

= 8z³ + 4z² - 8

So, (8z³ + 4z² - 8) is the sum of the given expression.

Hence, the sum of the given expression is (8z³ + 4z² - 8).

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8÷5

First change 1 3/5 into a improper fraction.

After you turn 1 3/5 to improper fraction you should get 8/5.

Multiply 1x5 and add that to 3 and that’s your numerator and you get 8÷5