What are the properties of addition and subtraction?

Answer:

60%

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is D, I did this quiz once

Answer:

1st option

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1 , then the corresponding factors are

(x + 3) and (x - 1) , so

y = a(x + 3)(x - 1) ← a is a multiplier

To find a substitute a point on the graph into the equation

Using (0, - 1.5 ) , then

- 1.5 = a(3)(- 1) = - 3a ( divide both sides by - 3 )

0.5 = a

Then

f(x) = 0.5(x + 3)(x - 1)

Answer:

∡B = 60°

Step-by-step explanation:

find BC using Pythagorean Theorem:

5² + BC² = 10²

25 + BC² = 100

BC² = 75

BC = [tex]\sqrt{75}[/tex]

BC = [tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] which is 5[tex]\sqrt{3}[/tex]

this indicates that ∡B must be 60° because the ratio of sides in a 30-60-90 triangle are 1 : [tex]\sqrt{3}[/tex] : 2

Remembering the ratio of 1: 3: 2 and understanding that the smallest side length is always opposite the shortest angle (30°) and the longest side length is always opposing the greatest angle (90°) can help you recall the 30-60-90 triangle principles.

According to the 30-60-90 triangle theorem, the hypotenuse is twice as long as the shorter leg. Additionally, the sides of this particular triangle have a ratio of 1:2: [tex]\sqrt{3}[/tex].

A 30-60-90 triangle can have three sides, and if you only know one, you can use shortcuts to discover the other two. The three scenarios you encounter when performing these computations are as follows:

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Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

An equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.

Here,

Given: Maximum: 210

Minimum: 10

Time : 90

In order to create a sinusoid equation:

When x=0, sin(2*0)=sin(0)=0.

If x = 4 then sin(4 / 2) = 1.

Sin(π) = 0 if x =π/2 and

Consequently, the sinusoid's equation will be y=Sin (2x)

Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).

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Answer:

I Believe The Answer Would Be 35

Step-by-step explanation:

You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width

Answer:

35in^2

Step-by-step explanation:

You essentially have 3 rectangles.

Starting from the top

2*5 = 10

Middle

This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches

3*5 = 15

Bottom

2*5 = 10

Add them all togehter

10+15+10

Answer:

What about Pythagorean Theorem?

Answer:

unicorn = 6

zebra = 18

horse = 4

Step-by-step explanation:

unicorn = u

zebra = z

horse = h

translate the picture to a system of equations

2u + z = 30

2h + u = 14

3z + 2h = 62

2h * 2u * 2z = ?

then solve the system of equations

Given:

The graph of a curve.

To find:

The domain and range for the given graph in interval notation.

Solution:

Domain: It is the set of input values.

Range: It is the set of output values.

Closed circle: It means that point is included in the solution set.

Open circle: It means that point is not included in the solution set.

(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.

[tex]Domain=-5\leq x<4[/tex]

[tex]Domain=[-5,4)[/tex]

(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.

[tex]Range=-3\leq y<3[/tex]

[tex]Range=[-3,3)[/tex]

Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].

Step-by-step explanation:

to find the equation of any line we have to first find the slope. the slope formula is:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

our slope here would be 8/13

now we input the points in the equation

y = mx + b

then we find b to be -3(7/13)

so the final equation would be:

[tex]y = \frac{8x}{13} - 3( \frac{7}{13} )[/tex]

Answer:

-4 and 12 are the zeros of the quadratic.

Step-by-step explanation:

What value does X need to be so (x+4) is 0? -4

What value does X need to be so (x-12) is 0? 12

Answer:

a = 3 or -3

Step-by-step explanation:

a^2 -8 = 1

a^2 = 1 + 8

a^2 = 9

a = -  [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]

a = 3 or -3

Answer: a = 3, -3

Step-by-step explanation:

      Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.

     Given:

f(x) = x² - 8

     Set equal to 1:

1 = x² - 8

     Subtract 1 from both sides of the equation:

x² - 9 = 0

     Difference of squares factoring:

(x - 3)(x + 3) = 0

     Answers:

x = 3, -3

     So,

a = 3, -3

Answer:

5.3%

Step-by-step explanation:

The first step is to find the z score corresponding to $200.

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{200-144.05}{34.52}\approx 1.62[/tex]

The next step is to find the area under the standard normal curve to the right of z = 1.62.  Some graphing calculators can do this, and there are tables that will help, although many of those show areas to the left of a particular z-score.

Calculator (TI-83/84)

See the attached image.

The command uses 1 x 10^99 as "positive infinity" and calculates the area under the normal curve from 1.62 all the way to the right.

Table

See attached table.  This table shows areas to the left of a certain z-score.

Find the entry for 1.62 (it's on page 2 highlighted with a red box).  The table says the area to the left of 1.62 is 0.9474.

But the area under the entire curve is 1!

This important fact means that the area to the right of z = 1.62 is 1 - 0.9474 = 0.0536, about 5.3%

(To get the area to the right of z, subtract the area to the left of z from 1.)

Answer:

6.28

Step-by-step explanation:

½ × 3.47²

Answer:

i think that the answer is 149

Answer:

2

Step-by-step explanation:

Answer:

the answer is one over eight

the formula says required outcome divided by sample space

the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails

Answer:

If a fair coin is flipped 3 times, the probability of getting exactly 3 tails is 1/8

Step-by-step explanation:

1/2 * 1/2 * 1/2 =1/8

Answer:

B, Rectangle.

The answer to all the questions is explained below with justifications.

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

a) The null hypothesis[tex](H_o)[/tex] is that 71.3% or more of American families owned their homes.

The alternative hypothesis[tex](H_1)[/tex]is less than 71.3% of American families owned their homes.

b) The type I error is the null hypothesis is true but we assumed it to be false that is 71.3% or more of American families owned their homes but the council did not provide tax breaks.

The type II error is the null hypothesis is false and we assumed it to be true

that is less than 71.3% of American families owned their homes and the council provides tax breaks.

c) The consequences of the type II error would be the council will provide tax breaks to more people and it would cost them a large amount of money.

d) Type II error is more serious in this context as the council has to lay off a large amount as compared to individual homeowners who already can afford to buy a house.

e) For type I error house owners will be harmed and for type II error counsel will be harmed.

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Answer:

C

Rewrite the equation until you end up with 4 being your slope =m

Answer:

18

Step-by-step explanation:

The ~ indicates that ∠ABC is similar to ∠QRS. In other words, their proportions are the same, even if their size is different.

So AB has the same proportions as QR. 4 can be multiplied by 2.25 to get to 9. So multiply 8 by 2.25 to get n.

8 * 2.25 = 18 so n = 18

Answer: 25g/cm3

Step-by-step explanation: The formula for density is mass÷volume. There is no need to convert the mass since it is already in grams.

Answer:

yup

Step-by-step explanation:

Answer:

Peter must pay $10.50

Step-by-step explanation:

Since he only used the service for 1 month, he pays for that much time.

Answer:

10.50 x 5 would be the expression.

  so the answer is  $-52.5

Step-by-step explanation:

The fast of the radius of balloon increasing is 480 cm³ / sec.

Given data :

V = [tex]\frac{4}{3}[/tex] π r³

we know [tex]\frac{dr}{dt}[/tex] = 30 cm/ sec

we want [tex]\frac{dV}{dt}[/tex] when r = 2cm

Differentiate V = [tex]\frac{4}{3}[/tex] π r³ implicitly with respect to t

[tex]\frac{dV}{dt}[/tex] (V) = [tex]\frac{dr}{dt}[/tex] ( [tex]\frac{4}{3}[/tex] π r³ )

[tex]\frac{dV}{dt}[/tex] = [tex]\frac{4}{3}[/tex] π x 3r² [tex]\frac{dr}{dt}[/tex] = 4 π r² [tex]\frac{dr}{dt}[/tex]

Plug in what you know and solve for what you don't know.

[tex]\frac{dV}{dt}[/tex] = 4π ( 2 )² ( 30 / sec ) =

= 120 x 4 .π cm³ / sec

= 480 cm³ / sec

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Answer:

80

Step-by-step explanation:

Because it is more than 45 and the only one that is more that 45 is 80

Answer:

x=3

Step-by-step explanation:

3 cubed is 27