What are the values of p and q?

Answer:

Solve the first equation for y

Step-by-step explanation:

Answer:

The annual total cost is $135 when he purchases 17 books

Step-by-step explanation:

Given function is:

C(b) = 5b + 50

Here c is the output which is cost and b is the input which is number of books purchased in an year.

In order to find the total cost when he purchases 17 books, we have to put 17 in place of b and find the cost.

So,

Putting b = 17

[tex]C(17) = 5(17) + 50\\= 85+50 = 135[/tex]

Hence,

The annual total cost is $135 when he purchases 17 books

Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

[tex]a_1=6[/tex]

Recursive formula of geometric sequence is given by,

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

Here r = common ratio of successive and previous term

From the given sequence,

r = [tex]\frac{a_2}{a_1}[/tex]

 = [tex]\frac{-24}{6}[/tex]

 = (-4)

Recursive formula of the given sequence will be,

[tex]a_n=a_{n-1}.(-4)[/tex]

Therefore, Option (C) will be the correct option.

Answer:

144

Step-by-step explanation:

24  

______

30   x6=  180    

24x6= 144

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

Answer:

Step-by-step explanation: 14.2

-6 is the slope of the given table which represents a linear function.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let the equation of line be represented as A

The values of x = { -2 , -1 , 0 , 1 , 2 }

The value of y = { 8 , 2 , -4 , -10 , -16 }

Let us take any two points to find the slope.

(-2, 8) and (-1, 2) are the two points

Slope = 2-8/-1+2

=-6/1

=-6

Hence, -6 is the slope of the given table which represents a linear function.

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The table represents a linear function

X

-2

-1

0

1

2

Y

8

2

-4

-10

-16

What is the slope of the function

-6

-4

4

6

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]

______________________________

 - You combine since these are like terms.

Equation at the end of Step 1:

 - We divide because we want to get x alone.

Equation at the end of Step 2:

 - We turned this into a fraction because we couldn't divide properly.

 - This step just means divide the lowest amount possible, which in this case is 5.

______________________________

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the matrix is not given.

The general form of a matrix is:

[tex]b[m*n] =\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}........b{1n}}\\b_{21}&b_{22}&b_{23}........b{2n}\\b_{31}&b_{32}&b_{33}........b{3n}\\ \\ \\b_{m1}&b_{m2}&b_{m3}........b{mn}\end{array}\right][/tex]

Where m and n represent the [tex]number\ of\ rows\ and\ columns[/tex] respectively.

Notice the position of b11

This means that b11 is at the first column and first row.

Take for instance matrix b is:

[tex]b = \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

The element at the first row and first column is 1.

Hence

[tex]b_{11} = 1[/tex]

easy 1000lbs of food I guess I mean unless you are it

Answer:

100 percent

Step-by-step explanation:

The number did not change

Answer:

The number of heating degree days is 16.5.

Step-by-step explanation:

First, we calculate the average of the high ([tex]T_{H}[/tex]) and low temperatures of the day ([tex]T_{L}[/tex]), measured in degrees Fahrenheit. If we know that [tex]T_{H} = 52\,^{\circ}F[/tex] and [tex]T_{L} = 45\,^{\circ}F[/tex], then the average temperature ([tex]T[/tex]), measured in degrees Fahrenheit, is:

[tex]T = \frac{T_{L}+T_{H}}{2}[/tex] (1)

[tex]T = \frac{45\,^{\circ}F+52\,^{\circ}F}{2}[/tex]

[tex]T = 48.5\,^{\circ}F[/tex]

And the number of heating days is:

[tex]H = 65-48.5[/tex]

[tex]H = 16.5[/tex]

The number of heating degree days is 16.5.

Answer:

You need 6, 1/8 parts to make 3/4

Step-by-step explanation:

The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4

6/8ths is the correct answer

bruh

Answer:

x=0

Step-by-step explanation:

simplify: 15(x-3) over 15 ( srry i dont know how to make that a fraction.)

3(2x-3)= 3x-9

3x-9=6x-9

move all terms containing x to the left side of the equation

-3x-9=-9

move all terms not containing x to the right side of the equation

-3x=0

divide both sides by -3 and simplify if needed

x=0

( hope this helped.)

Answer:

1/15

Step-by-step explanation:

1.) Make the denominator equal by turning the 5 into a 15 (In order to subtract it properly)

2.) Make the 2 correspond with the denominators. In this case multiply by 3 because 5 goes in to 15 3 times. Equation Now: 7/15 - 6/15

3.) Subtract the numerators to get your answers

4.) Final Answer: 1/15

Answer:

10,830

Step-by-step explanation:

Answer:

I = $31,250

Step-by-step explanation:

Para resolver este problema debemos de hacer uso de la ecuación de interés compuesto (en este caso en particular, también se podría utilizar la ecuación de interés simple, ya que solo se está capitalizando el interés durante un período)

[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]

En donde:

FV = Valor futuro

PV = Valor presente

r = tasa de interés

n = número de períodos de capitalización de intereses por año

t = número de años.

En este caso queremos conocer el valor futuro y conocermos el resto de variables:

PV=$500,000

r=0.0625

n=1

t=1

por lo que la fórmula se verá de la siguiente manera al sustituir los valores:

[tex]FV=500,000(1+\frac{0.0625}{1})^{(1)(1)}[/tex]

Al resolver la función obtenemos un valor de:

FV=$531,250

Como lo que nos interesa es conocer el interés, entonces le restamos el valor presente al valor futuro y obtenemos:

I=FV-PV=$531,250-$500,000

I=$31,250

La cual es nuestra respuesta.

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

Answer:

A1: 40/3 = 13.33

A2: 1/2 = 20 (half of 40) 40/20 = 2

Answer:

The interest Jacob earns after 6 years is $8.82

Step-by-step explanation:

The given parameters are;

The simple interest rate of the savings account, R = 1%

The principal deposit to the savings account, P = $147

The time duration Jacob saved the money, T = 6 years

The formula for simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Substituting the known values gives;

[tex]I = \dfrac{147 \times 1 \times 6}{100} = 8.82[/tex]

The interest Jacob earns after 6 years = $8.82.

Answer:

Acute triangles or also called as acute-angled triangles

Answer:

equilateral triangle is always all acute nothing else

Answer:

The answer is D

Step-by-step explanation:

If you plug them into Desmos, they'll line up

Answer:

$175.80

Step-by-step explanation:

Answer:

175.80$

Step-by-step explanation:

In order to find the answer to this question you must first find 20% of the cost for the dinner, then add that answer to the cost of the dinner to receive your answer.

[tex]146.50[/tex]

[tex]20 =146.50[/tex]

[tex]Y=P\times X[/tex]

[tex]20\times146.50[/tex]

[tex]20\div100=0.2[/tex]

[tex]0.2\times146.50[/tex]

[tex]0.2\times146.50=29.3[/tex]

[tex]=29.3[/tex]

Now add:

[tex]146.50+29.3=175.80[/tex]

[tex]=175.80[/tex]

Hope this helps.

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

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Answer:

Red, Yellow, Blue

Step-by-step explanation:

They are the primary colors,

or you can use Violet, Green, And Orange

These are secondary colors

Answer:

sometimes is called the cost or wholesale price

Answer:

10x+9

Step-by-step explanation:

Answer:

y=1/2x+35

Step-by-step explanation:

Find two points: 0,35 and 40,65.

65-35 is 20/40 or 1/2

y=1/2x+b

plug in 0,35

35=b

y=1/2x+35.

Hope this helps!

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