Which of the following is equal to the expression when x does not equal -2 or 3?

Answer:

y = 26

Step-by-step explanation:

Given y varies directly as x and inversely as the square of z then the equation relating them is

y = [tex]\frac{kx}{z^2}[/tex] ← k is the constant of variation

To find k use the condition y = 52, x = 16, z = 2

k = [tex]\frac{yz^2}{x}[/tex] = [tex]\frac{52(4)}{16}[/tex] = 13

y = [tex]\frac{13x}{z^2}[/tex] ← equation of variation

When x = 18 and z = 3, then

y = [tex]\frac{13(18)}{9}[/tex] = 26

good luck man i hate having to do this kind of thing in class

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] represents the amount of money in a savings account with quarterly compounding interest over time.

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] describes the amount of money, [tex]\(A(t)\),[/tex] in a savings account over time, where [tex]\(t\)[/tex] represents the number of years. The initial investment is $2000, and the account earns interest at a rate of 3%, compounded quarterly.

The term [tex]\((1.0075)^{4t}\)[/tex] represents the growth factor of the investment over time.

The base, [tex]\(1.0075\),[/tex] represents the factor by which the investment grows each quarter, considering the 3% annual interest rate.

Since the interest is compounded quarterly, it is raised to the power of [tex]\(4t\)[/tex] to account for the total number of quarters over [tex]\(t\)[/tex] years.

Multiplying the initial investment by this growth factor yields the total amount of money in the account after[tex]\(t\)[/tex]years.

As time increases, the exponential term increases, leading to exponential growth in the account balance.

This formula provides a mathematical model for calculating compound interest and understanding how investments grow over time.

10(1/2X + 5) = 8

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The statement 'Ten times the sum of half a number x and 5 is 8' can be translated into a mathematical equation as: 10 * (0.5x+5) = 8.

To write the equation for the given description, we first need to translate the statement into mathematical terms.

The description is 'Ten times the sum of half a number x and 5 is 8'. In mathematics:

'The sum of' is represented by a plus '

So, translating the statement into an equation we get:

10 * (0.5x+5) = 8

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Answer:

13 --> 10

21 --> 20

29 --> 30

Answer:

The correct answer is: 10-20-30

Step-by-step explanation:

13 is between 10 and 20. The closest 10 for 13 is 10, because it's only 3 away (13  the other option would be 20 but it's 7 away, so way more.)

21 is between 20 and 30. The closest 10 for 21 is 20 ( it's only 1 away from 20, the other option would be 30 but it's 9 away, so way more.)

29 is between 20 and 30. The closest 10 for 29 is 30 (it's only 1 away from 30, the other option would be 20 but it's 9 away, so way more.)

Answer:

[tex]x^{\frac{7}{3} }[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt[3]{x^{7} }[/tex]

There's a exponent which relates fractional exponents and roots, that is

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

So, if we apply this property, the results would be

[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]

Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]

Answer:

c

Step-by-step explanation:

i took the test

Answer:

256m2.

Step-by-step explanation:

Answer:

256m^2

Step-by-step explanation:

Answer:

a. y = 6x + 11

Step-by-step explanation:

distribute and rearrange into slope-intercept form.

y - 5 = 6x + 6

add 5 to both sides

y = 6x + 6 + 5 ⇒ y = 6x + 11

Answer: Hello mate!

our equation is y - 5 = 6(x + 1), and we want to rewrite it in the slope-intercept form.

First lets distribute the parenthesis.

y - 5 = 6(x+1) = 6x + 6

now let's add 5 in both sides.

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

y = 6x + 11

Then the correct answer is the option A.

Answer:

8 dollars per hour

Step-by-step explanation:

2 1/4=2.25

18/2.25=8

(Sorry I read the question wrong at first above answer should be able to help you. I apologize)

Answer:

Answer:

A. He gave the incorrect scale factor.

Step-by-step explanation:

The scale factor is the Multiplicative Inverse of 3, which is ⅓:

F → 12 × 6

F' → 4 × 2

This is a genuine statement because according to the graph, each block is worth 2, and ⅓ of 6 is 2, and ⅓ of 12 is 4.

I am delighted to assist you anytime my friend.

Answer:

the answer is A

Step-by-step explanation:

Miguel gave an incorrect scale factor.  The shape decreased in size meaning it would have a scale factor under 1 but he put 3 meaning the shape got larger when really it shrunk.  This means A is the correct answer

Answer:

5

Step-by-step explanation:

because in 5 buses there could fit 160 students which is more than have rsvpd

Answer:

(a)

Step-by-step explanation:

Basically we're trying to figure out how many groups of 32 students are needed to have more than 140.

To do this, we take 140/32 (*BIG NOTE!! No matter what our answer is, we round up. If we rounded down, we'd be leaving some students behind, and we don't want that.)

140/32 = 4.375 (but remember, we round up no matter what)

so the answer is 5, which is A.

Answer:

The answer is [tex]\frac{81}{4}[/tex]

Step-by-step explanation:

The formula is: [tex]\frac{a}{b}  \div \frac{c}{d} =  \frac{ad}{bc}[/tex]

In this case we have: [tex]\frac{9}{1} \div  \frac{4}{9} = \frac{9\times 9}{1\times 4}  = \frac{81}{4}[/tex]

Since 81 y 4 do not have common divisors. The fraction [tex]\frac{81}{4}[/tex]

is in its simplest form.

Final answer:

9 divided by 4/9 equals 81/4 or 20.25. This is done by multiplying 9 by the reciprocal of 4/9, resulting in 81/4, which is already in simplest form.

Explanation:

To calculate 9 divided by 4/9, we can rewrite the division as a multiplication by the reciprocal of 4/9. Here's the step-by-step explanation:

Therefore, 9 divided by 4/9 equals 81/4 or 20.25 in decimal form. Since the problem asks for the simplest form, 81/4 is the final answer and cannot be simplified further because 81 and 4 have no common factors other than 1.

Answer: Associative

Associative says it doesn't matter what is added or multiplied first, and this question shows this

Hope this helps!

Answer: Associative

Step-by-step explanation:

Answer:

17 1/2

Step-by-step explanation:

8 5/8 + 8 7/8

=17 1/2

Answer:

17 1/2

Step-by-step explanation:

8 5/8+8 7/8=...

So, let's take away the fractions for now.

What's 8+8?

Well, 8+8=16.

Now, let's take a look at the fractions.

5/8+7/8=...

Well, when we are adding fractions, the denominator will stay the same. So let's pretend that we are adding 5+7.

5+7= 12. So our answer is 16 12/8 Right?

wrong.

you will simplify the 12/8. Since the numerator is more than eight, we will subtract 8 from 12.

12-8=4

we will make the 8/8 a 1 and add it to the 16 to make it 17 4/8. We can still simplify this. The 4/8 becomes 1/2 making the answer: 17 1/2

Hope this helps!!!

Answer:

See explanation

Step-by-step explanation:

Given: ΔABC ≅ ΔDEF

AM, DN - medians

Prove: AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

Answer:

30

Step-by-step explanation:

[tex]-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z[/tex]

Answer:

2,494,920

Step-by-step explanation:

We have been given that in 2010 census, there were 3,669 people living in Marlboro, New York. Brooklyn, New York, has 681 times as many people.

[tex]\text{People live in Brooklyn}=681\times 3,669[/tex]    

[tex]\text{People live in Brooklyn}=2,498,589[/tex]      

Now, we will subtract 3,669 from 2,498,589 to find the number of people more in Brooklyn than Marlboro.

[tex]\text{People more in Brooklyn than Marlboro}=2,498,589-3,669[/tex]

[tex]\text{People more in Brooklyn than Marlboro}=2,494,920[/tex]

Therefore, there are 2,494,920 more people live in Brooklyn than in Marlboro that is 680 times the people in Marlboro.

Answer:

B

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

The coordinates of the point is (-5,3)

Let the initial coordinate be:

Initial = (0,0)

5 units to the left of the x-axis represents a horizontal translation left by 5 units.

So, we have:

New = (0 - 5,0)

3 units above the y-axis represents a vertical translation up by 3 units.

So, we have:

New = (0 - 5, 0 + 3)

Evaluate

New = (-5, 3)

Hence, the coordinates is (-5,3)

Read more about coordinates at:

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Answer:

The business would get 240$

Step-by-step explanation:

120$ is the amount you would of made for the the 120 items. The business gets 3$ per item. 120 x 3 would be 360, subtracted by 120 which is what they give you. The business would end up with 240$, or 2/3rds of the money.

Answer:

240

Step-by-step explanation:

since you get the items for 1 dollar and sell them for 2 you need to subtract   3-1 to get your profit which is 2. since you sold 120 items, multiply 120x2 to get your profit of 240.

Answer:

Irrational number

The number 4.333.... is a rational number because it can be expressed as the fraction 13/3. An irrational number, like Pi, cannot be expressed as a fraction of two integers.

The number 4.333..... is an example of a rational number. Rational numbers can be expressed as a fraction of two integers, and in this case, 4.333.... can be expressed as 13/3. In contrast, an irrational number cannot be expressed as a fraction of two integers. For example, the number Pi is an irrational number because it can not be accurately expressed as a fraction.

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Answer:

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

My first number is -2 my fifth number is 26

My third number is 12

Given :

My first number is -2 my fifth number is 26

Lets assume the given numbers are in arithmetic sequence

First term is -2  and fifth term is 26

[tex]a_1=-2\\a_5=26[/tex]

Formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where d is the difference and n is the number of terms

[tex]a_5=a_1+(5-1)d\\a_5=-2+4d\\26=-2+4d\\26+2=4d\\28=4d\\divide \; by \;4 \\d=7[/tex]

Common difference is 7

First term is -2

second term is [tex]-2+7=5[/tex]

Third term is [tex]5+7=12[/tex]

So , the third number is 12

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Answer:

-0.25

Step-by-step explanation:

Answer:

17/6

2 5/6

Step-by-step explanation:

18x-30=21

18x=51

x=51/18

x=17/6

Answer: 4/64

Step-by-step explanation:

Since 1/4 * 4 = 1

We just have to multiply 1/64 times 4 to get the answer

1/64 * 4 = 4/64

Answer:

Car will cover 16 miles in 1 gallon of the gas.

Step-by-step explanation:

We can solve this question by unitary method.

∵ A car used [tex]\frac{1}{64}[/tex] gallons of gas to drive the distance = [tex]\frac{1}{4}[/tex] miles

∴ Car used 1 gallons to drive the distance = [tex]\frac{\frac{1}{4} }{\frac{1}{64} }[/tex]

= [tex]\frac{64}{1}\times \frac{1}{4}[/tex]

= [tex]\frac{64}{4}[/tex]

= 16 miles

Therefore, car will cover 16 miles in 1 gallon of the gas.

Answer: 2

Step-by-step explanation:

Answer:35

Step-by-step explanation: the reason this is true is because 5is the smallest number that can round up to ten

Answer:

I believe the answer is 4 but im not sure because I skipped the @ but I didnt know what it meant

Step-by-step explanation:

4x +(2x - 1) = x +5+x-6

pretend that there is a 1 in front of the bracket

4x+1(2x-1)= x+5+x-6

Mutiply the bracket by 1

(1)(2x)= 2x

(1)(-1)= -1

4x+2x-1=x+x+5-6( combine like terms)

6x-1= 2x-1

move 2x to the other side

sign changes from +2x to -2x

6x-2x-1= 2x-2x-1

4x-1=-1

move -1 to the other side

4x-1+1= -1+1

4x= 0

divide by 4 for both sides to get x by itself

4x/4= 0/4

Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x

x= 0/4

Answer: x= 0

Answer:

5 ≥ 0

Step-by-step explanation:

9w - 4w +6 ≥ 1 + 5w.

Subtract 9w - 4w = 5w.

5w + 6 ≥ 1 + 5w.

Subtract 1 from each side.

5w + 6 - 1 ≥  1 - 1 + 5w

5w + 5 ≥ 5w

Subtract 5w from each side

5w - 5w + 5 ≥ 5w -5w

5 ≥ 0

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Answer:

2 yard line

Step-by-step explanation:

It starts at the 0 yard line then goes up to the 6 yard line

0 + 6 = 6

After, from the 6 yard line they go back 4 yards

6 - 4 = 2

Now they're at the 2 yard line.