1. Find the measure of

Answer:

C

Step-by-step explanation:

The parent graph of this function is the absolute value, or |x|. However, it is shifted 8 units to the right and 2 units up. Therefore, the equation of this function is y=|x-8|+2, or answer choice C. Hope this helps!

Answer:

C

Step-by-step explanation:

The answer is c because 10.5 also equals up to 1,32300

The statement describes the growth of the account as C. The account grew exponentially at an annual interest rate of 5.00%.

Cash accounts

A cash account might be the type of funding account you believe you studied when you consider making an investment. You deposit cash into a coins brokerage account, and you then use the budget to shop for securities.

A cash account is suitable for the majority of traders. It lets you buy investments with the cash you deposit into the account. A margin account is for investors who want to borrow cash from the broker to buy investments. Margin trading is a riskier sort of investing this is nice proper for advanced traders.

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Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Answer:

f(n) = 4(n-1) + 7

First term

f(1) = 4(1-1) +7 = 0 + 7 = 7

Second term

f(2) = 4(2-1) + 7

= 4(1) + 7 = 4 + 7 =11

Third term

f(3) = 4(3-1) + 7

= 4(2) + 7

= 8 + 7 = 15

Therefore the first three terms of the sequence are 7, 11 and 15.

Hope this helps

Answer:

120

Step-by-step explanation:

To solve this, we can first find the value of the number.

Let's name the number x.

We can set up a proportion to solve.

90/60=x/100

Simplify.

9/6=x/100

Cross multiply.

6x=900

Divide both sides by 6.

x=150

The original number is 150.

Let's find 4/5 of that.

4/5*150

Multiply.

600/5

Divide.

120

________________________________

Hey!!!

Solution,

Let the number be X

60% of X=90

or,60/100*X=90

or,3/5*X=90

or,X=90/3/5

or,X=90*5/3

or,X=450/3

X=150

Again,

4/5 of X

=4/5*150

=120

The answer is 120

hope it helps

Good luck on your assignment

_____________________________

Answer: 83,84 and 85

Step-by-step explanation:

Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010​ season. Therefore,

x+x+1+x+2 = 252

3x+3 = 252

3x = 252 - 3

3x = 249

x = 249/3

x = 83

This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.

Answer:

s=5

Step-by-step explanation:

72=27+9s

Subtract 27 from both sides.

72-27=9s+27-27

45=9s

Divide 9 from both sides.

5=s

Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

Answer: ZR and ZS form a right angle

Step-by-step explanation:

Complementary angles are angles whose sum = 90ᴼ

If R and S are complementary, then their angle measures add to equal 90ᴼ

A right angle = 90ᴼ

ZR and ZS form a right angle.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.

According to the given question.

Angles R and S are complementary angles.

Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.

Therefore,

The ZR and ZS form a right angle.

Hence, option second is correct.

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Answer:

0.2666666667

Step-by-step explanation:

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

Answer:

x = 5, y = 9.

Step-by-step explanation:

8^x / 2^y = 64

3^4x * (1/9)^(y -1) = 81

From the first equation

2^3x / 2^y = 2^6

2^(3x-y) = 2^6

So 3x - y = 6  ..........(1)

From the second equation:

3^4x * 9^(-(y-1)) =  3^4

3^4x * 3^2(-(y-1)) = 3^4

3^(4x+ 2(1 - y)) = 3^4

So 4x + 2(1 - y) = 4

4x - 2y = 2

2x - y = 1   .............(2)

Subtract: (1) - (2):

x = 5.

and  2(5) - y = 1

so y = 9.

Solving the simultaneous equations we get x is 5  and y is 9 .

Simultaneous equations in algebra are those that concurrently involve two or more variables, such as x and y. Even though they are solved simultaneously, the equations are known as simultaneous equations. Just these equations alone have innumerable answers.

A system of equations, often known as an equation system, is a collection of finite equations for which common solutions are sought.

The two given equations can be simplified as:

[tex]8^x \div 2^y = 64\\\\or,\frac{2^{3x}}{2^y} =2^6\\\\or, 2^{3x-y}=2^6\\\\or, 3x-y = 6[/tex]

And :

[tex]3^{4x} \times (\frac{1}{9})^{y-1}=81\\\\or, 3^{4x} \times 3^{-2(y-1)}=3^4\\\\or, 3^{4x+2-2y}=3^4\\\\or, 4x-2y = 2\\\\or,2x-y=1[/tex]

Now we can solve the two simultaneous equations :

3x - y = 6 and 2x - y = 1

Subtracting the equations we get:

x = 5

and

y = 9

Solving the simultaneous equations we get the value of x as 5 and the value of y as 9 .

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Let's see if we can recreate the histogram from the description.

Time count

0.5  0

1       0

1.5    2

2      1

2.5   3

3       1

3.5    2

4       1

4.5    0

5       0

The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.  

For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5.  When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.

Answer: B  the mean will decrease

Answer:

B

Step-by-step explanation:

This is because the mean will decrease

Answer:

[tex]\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: [tex]0.05[/tex], the associated z-value from Laplace table:

Φ([tex]z[/tex]) = α - [tex]0.5 = 0.05 - 0.5 = -0.45[/tex]

=> [tex]z[/tex] = [tex]-1.645[/tex]

Step 2: Define null hypothesis ([tex]H_{0}[/tex]) and alternative hypothesis ([tex]H_{1}[/tex])

[tex]H_{0}[/tex] : rate of flu infection [tex]p[/tex] = 8.3% or 8.3/100 = 0.083

[tex]H_{1}[/tex] : rate of flu infection [tex]p[/tex] < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

[tex]K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}[/tex]

with [tex]f[/tex] is actual sampling percent, [tex]p[/tex] is rate of flu infection of [tex]H_{0}[/tex], [tex]n[/tex] is number of samples.

The null hypothesis will be rejected if [tex]K < z[/tex]

Step 4: Calculate the value of K and compare with [tex]z[/tex]

[tex]K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46[/tex]  

We have [tex]-2.46 < -1.645[/tex]

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As [tex]H_{1}[/tex] states)

Hope this helps!

:)

Answer:

Option D

Step-by-step explanation:

because the data wasn't place on a table...

Answer:

60km

Step-by-step explanation:

75/10=x/8

Solve For X

75*8=600,   600/10=60

THEREFORE

75/10=60/8

You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage

Answer:

60km

Step-by-step explanation:

Let x represent the required distance.

Since the quantity of petrol is directly proportional to the distance:

x : 75 = 8 : 10

i.e.      [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]

           x = [tex]\frac{75 * 8}{10}[/tex]

           x = 60

∴ The distance is 60 km.

Hope this helps!!!

Answer:

it would be C i took the test

Step-by-step explanation:

Answer:

The answer would be C because i just took the test and got it right hope this helps.

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

5x - 12 = x - 8

Subtract x from each side

5x -12 -x = x-8-x

4x -12 = -8

Add 12 to each side

4x-12+12 = -8+12

4x = 4

Divide each side by 4

4x/4 = 4/4

x = 1

Answer:

60

This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.

Answer:

60.. hope it helps

Step-by-step explanation:

Check the number in the ones place

It's is 9, which is greater than 5 so we will add 1, to the tens place,

It becomes 60

Another method..

The closest tens multiples to the given number are 50 and 60.

Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

Answer:

-8 and 4

Step-by-step explanation:

4x = 32 -x^2

Subtract 4x from both sides and rearrange the equation:

-x^2 -4x +32 = 0

Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a

From the rewritten equation: a=-1, b = -4 and c = 32

Solving for x you get x = -8 and x = 4

The solutions are -8 and 4

Answer= 13 years

Solution,

Let the age of grandmother be y

Let the age of grandson be X

according to question,

9x=y ( equation I)

X+56=y( equation ii)

Substituting,

9x=x+56

or,9x-x=56

or,8x=56

or,X=56/8

X=7

Again,

Age of grandson after 6 years

=7 years+6 years

=13 years

Hope it helps

Good luck on your assignment

The age of her grandson after 6 years is 13 years.

A mathematical statement in which two expressions are set equal to each other is known as an algebraic equation. A variable, coefficients, and constants are commonly included in an algebraic equation.

Let the age of the grandmother be x and the age of her grandson be y.

Since the grandmother is 9 times older than her grandson, we can write

x = 9y ...(1)

Since the grandmother is 56 years older than her grandson, we can also write

x = y + 56 ...(2)

We have to solve these two algebraic equations.

Equating the L.H.S. of (1) and (2),

9y = y + 56

i.e. 9y - y = 56

i.e. 8y = 56

i.e. y = 56/8 = 7

So, now the age of her grandson is 7 years.

Therefore the age of her grandson after 6 years is 6+7= 13 years.

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Answer:

(4 , 3 ) and (-3 , -4)

Step-by-step explanation:

Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer: (4 , 3 ) and (-3 , -4)

Step-by-step explanation: Other two vertices will be in 1st quadrant and 3 rd quadrant

Answer: x=-0.792

Step-by-step explanation:

For this problem, you want to get like terms onto one side, then solve for x.

[tex]\frac{1}{25}=5x+4[/tex]

[tex]-\frac{99}{25} =5x[/tex]

x=-0.792

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

Answer:

not a function

Step-by-step explanation:

you can test it out by sliding your pencil thru the graph and making sure

the function doesn't cross thru the pencil twice

Answer: 3 3√3

Step-by-step explanation:

81^1/3

=3√81

= 3 3√3

Answer:

(2,7)

Step-by-step explanation:

y=6x-5

y=x+5

Since they are both equal to y, set them equal to each other

6x-5 = x+5

Subtract x from each side

6x-x-5 = x+5-x

5x-5 = 5

Add 5 to each side

5x-5 +5 = 5+5

5x=10

Divide by 5

5x/5 = 10/5

x=2

y = x+5

y = 2+5

y =7

Answer:

Choice C: (2,7)

Step-by-step explanation:

Using substitution method let y = x + 5

We have x + 5 = 6x - 5

Get let’s get rid of the 6x, so -5x + 5 = -5

Get rid of the 5 by subtracting by 5, so -5x = -10

Divide -5 on both sides and you get x = 2

Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.

So (2,7)

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Answer: $7.58/2=$3.79

Step-by-step explanation: