Mrs. Taft keeps inventory of the copy paper in the school copier room. Nine weeks ago, there were 150 reams of copy paper in the room. Now, there are 85 reams left. Which of the following two expressions are equivalent to the average weekly change in the number of reams of copy paper in the copier room over this time period?
Choices: -9/65, 9/-65, 65/-9, -65/9 (the negative for this one applies to both numbers.) and -65/-9

Answer:

a₇ = [tex]\frac{4096}{3125}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = 4 ÷ 5 = [tex]\frac{4}{5}[/tex]

r = [tex]\frac{16}{5}[/tex] ÷ 4 = [tex]\frac{4}{5}[/tex]

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = [tex]\frac{4}{5}[/tex] , thus

a₇ = 5 × [tex](\frac{4}{5}) ^{6}[/tex] = 5 × [tex]\frac{4096}{15625}[/tex] = [tex]\frac{4096}{3125}[/tex]

Answer:

Step-by-step explanation:

it no solution

No solution is parallel to each other.

solution crosses each other.

infinite is only one line.

Answer:28

Step-by-step explanation:

Answer: Left-brace 14, negative 7, 0, 243, negative 3 Right-brace

Step-by-step explanation:

To obtain our answer, we need to know what an integer means and hence, it's properties or characteristics ;

An integer must be an whole number including Zero, which means no fractions

Similarly, integer numbers could be either positive or negative in value.

Hence, from the set represented above ;

(14, - 7, 0, 243, - 3) ; all the numbers in the set conform to the characteristics expected of an integer.

Answer:B

Step-by-step explanation:

Answer:

what bedroom...............?

Answer:

[tex]95ft^2[/tex]

Step-by-step explanation:

We need to multiply 10 feet by 9 feet 6 inches.

6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.

Multiply 10 by 9.5.

(10)(9.5) = 95

Therefore the answer is 95ft squared.

Hope this helps!!

- Kay :)

Answer:

The variables would be 9p and 4c

Step-by-step explanation:

Jose gets $9 for every Phone or 9p and $4 for every accessory or 4a

Jing-mei starts out being excited and confident about her mother's plans for her. She believes that if she and her mother found the right kind of prodigy for Jing-mei, then Jing-mei would one day become a perfect child. As she begins losing hope, however, Jing-mei's character starts to change. Tired of constantly failing her mother's high expectations, she decides to set her own expectations, and she becomes willful, disobedient, and vocal. Ironically, her motivation throughout the story stays the same; she wants her mother to love and accept her. She knows she'll never be the type of girl her mother wants, so she resists her mother's wishes. Yet by doing the opposite of what her mother wants, Jing-mei still cannot feel that acceptance that she really wants

Answer:

9.6

Step-by-step explanation:

Answer:

A= w . h = 10

Step-by-step explanation:

Look at attached graphic.

It's a rectangle.

width (in x axe) = length between 3 to -2 = 5

height (in y axe) = length between 1 to -1 = 2

Answer:

Step-by-step explanation:

Answer:

h'(t)=88

Step-by-step explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10)

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0

Answer:

f-1(x)=2x over x-1

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

f(0) =  ( f(k) +f(-k) ) / 2

f(0) = (16 - 4) / 2

f(0) = 12 / 2

f(0) = 6  → ANSWER

*Remember that f(0) = m(0) + n = n

If we have f(x) = mx + n, then:

f(k)= mk + n     and       f(-k)= -mk + n

If we add them:

  f(k) + f(-k)

= mk + n -mk + n

= 2n

= 2f(0)

So we conclude that:

f(0) = [f(k) + f(-k)] / 2

Answer:

i will see if i can figure it out

gl dude

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok ill try to find it and answer it

check it out . it seems to be the right answer. .

Answer:

33

Step-by-step explanation:

Landon is building new book shelves for his bookstore's new mystery section

Each of the shelf can hold 37 books

There are 1221 mystery books

Therefore the number of shelves that Landon will need to build can be calculated as follows

= 1221/37

= 33

Hence Landon needs to build 33 shelves

Answer:

3 : 8

Step-by-step explanation:

→ Find the sum of the shapes

10 + 6 = 16

→ Relate the triangles : total shapes

6 : 16

→ Divide by 2 on both sides

3 : 8

Answer:

y=200+50x

Step-by-step explanation:

The factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).

The equation is: (X+5)²+3x+15

Then,(X+5)²+3x+15

Factors are: x(x+20)(x+2)

Therefore, the factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).

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Answer:

4b -11 = 1 -2(3-b) (use the distributive property on -2(3-b))

4b -11 = 1 -6 +2b ( combine like terms on the right side of the = sign)

4b -11 = -5 +2b  (subtract 2b from both sides)

2b -11 = -5 (add 11 to both sides)

2b = 6 (divide each side by 2)

b= 3 ( so, your answer is C)

Answer:

C

Step-by-step explanation:

4b-11=1-2(3-b)

4b-11=1-6+2b

4b-11=-5+2b

4b=6+2b

2b=6

b=3

Your answer is C

Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

Answer: x=2 and y=5

Step-by-step explanation:

Substitute the Y= equation for the Y in the second equation.

ie: x+3(2x+1)=17

Now all of your variables are the same and you can solve for X. You should get X=2.

Then plug 2 in for X in the first equation

ie: y=2(2)+1

Then solve for Y. You should get 5

Answer:

The answer is choices Only A

Step-by-step explanation:

hope this helps

Answer:

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)

Answer:

m<A + m<B + m<C = 180

53+90+m<C=180

m<C=180-143

m<C=37

The linear equation that describes the problem 72x + 150y = 5400.

A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.

The graph of a linear equation is  a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line.  it is called a 'linear equation.'

Tennis Club sells monthly memberships for  $72.

Tennis rackets for $150.

The tennis club  sales goal of $5400 per month.

The linear equation.

72x + 150y = 5400.

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Answer:

5.4 ft

Step-by-step explanation:

Given that the volume of the hemisphere sphere, [tex]V= 324 ft^3[/tex].

Let r be the radius of the hemisphere.

As the volume of the hemisphere, [tex]V=\frac {2}{3}\pi r^3[/tex]

By using the given value, we have

[tex]\frac {2}{3}\pi r^3=324[/tex]

[tex]\Rightarrow r^3=\frac{324\times 3}{2\pi} \\\\\Rightarrow r^3=\frac{324\times 3}{2\times3.14} \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^{1/3} \\\\[/tex]

[tex]\Rightarrow r=5.4[/tex] ft

Hence, the radius of the hemisphere is 5.4 ft.

After Multiplying 3 with the eq. (i) we will add this to eq. (ii)

[tex] \sf 18x - 6y + 3z = - 2[/tex]

[tex] \sf2x + 3y - 3z = 11[/tex]

[tex]⇒ \sf20x - 3y = 9 \: \: .........(iv)[/tex]

After Multiplying 2 with the eq. (iv) we will add this to eq. (iii)

[tex] \sf \: x + 6y = 31[/tex]

[tex] \sf40x - 6y = 18[/tex]

[tex] \sf \: 41x = 49[/tex]

[tex]⇒ \sf \: x = \frac{49}{41} [/tex]

After putting the value of x in the eq. (iii)

[tex] \sf \frac{49}{41} + 6y = 31[/tex]

[tex]⇒ \sf6y = 31 - \frac{49}{41} [/tex]

[tex] \sf \: ⇒ 6y = \frac{1271 - 49 }{41} [/tex]

[tex]⇒ \sf6y = \frac{1222}{41} [/tex]

[tex]⇒ \sf \: y = \frac{1222}{41 \times 6} [/tex]

[tex]⇒ \sf \: y = \frac{611}{123} [/tex]

After putting the value of x and y into eq. (i)

[tex] \sf6 \times \frac{49}{41} - 2 \times \frac{611}{123} + z = -2 [/tex]

[tex]⇒ \sf\frac{294}{41} - \frac{1222}{123} + 2 = - z[/tex]

[tex]⇒ \sf \frac{882 - 1222 + 246}{123} = - z[/tex]

[tex]⇒ \sf - \frac{94}{123} = - z[/tex]

[tex]⇒ \sf \: z = \frac{94}{123} [/tex]

Hence,

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41}

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41} [/tex]

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}[/tex]

[tex] \bf• \: The \: value \: of \: z \: = \frac{94}{123}[/tex]