What are the slope and the y-intercept of the line shown in the graph

Answer:

Option b.

Step-by-step explanation:

we have

[tex]2(\frac{3}{5})^{3}[/tex]

Evaluate

[tex]2(\frac{3}{5})^{3}=2(\frac{3^{3}}{5^{3}})\\ \\=2(\frac{27}{125})\\ \\=\frac{54}{125}[/tex]

therefore

He did not apply the power to the denominator of 3/5

Answer:

8(2c + 3d)

Step-by-step explanation:

Given

16c + 24d ← factor out 8 from each term

= 8(2c + 3d) ← in factored form

8(2c+3d)

Hope this helped

Answer:

10

Step-by-step explanation:

Divide 640 by 64 to find 1/64.

640/64=10

Or multiply 1/64*640=10

Answer:

26.78

Step-by-step explanation:

350 * .0765

Answer:

15 dollars

Step-by-step explanation:

f(x)=X2+3x-10 for X=-2

why? 2*2+3*2-10

4+6-10=0

Answer: f(x) = x2 - 3x -10

Step-by-step explanation:

putting x= -2

f(-2) = (-2)^2 - 3(-2) - 10

=4 + 6 -10

f(-2)=0

f(5) = x2 - 3x - 10

= (5)^2 - 3(5) -10

=25 - 15 - 10

f(5) =0

96cm

The area of the rectangle is 72 (6 x 12)

The base of the left triangle is six and the height is six. Base x height is 36. 36/2 is 18.

The base of the right triangle is 2 and the height is 6. 6 x 2 is 12. 12/2 is 6.

6 plus 18 plus 72 is 96, which is the final answer.

ANSWER

[tex]96 {cm}^{2} [/tex]

EXPLANATION

The area of a tra-pezoid is calculated using the formula:

[tex]Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h[/tex]

[tex]Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h[/tex]

From the tra-pezoid

[tex] \tan(45 \degree) = \frac{6}{x} [/tex]

[tex]x = \frac{6}{\tan(45 \degree) } [/tex]

[tex]x = \frac{6}{1} = 6[/tex]

[tex]Area = \frac{1}{2} ( 12 + 20 )\: \times \: 6[/tex]

[tex]Area = \frac{1}{2} ( 32)\: \times \: 6[/tex]

[tex]Area =16 \times 6 = 96 {cm}^{2} [/tex]

Answer:

Part 1) 53%

Part 2) 44%

Part 3) The record label sold a higher percentage of album 1 as digital downloads than album 2

Step-by-step explanation:

First we need to find the total sales of each album

Album 1:

[tex]540+470=1010[/tex]

Album 2:

[tex]571+452=1023[/tex]

Part 1)

In order to find the percentage of copies of album 1 sold as CDs, we need to create a fraction with the number of CD sales over the total number of sales

[tex]\frac{540}{1010} =0.534\\\\0.534*100=53.4\\\\53[/tex]

Part 2)

We must now do the same thing with the number of digital downloads for album 2

[tex]\frac{452}{1023} =0.441\\\\0.441*100=44.1\\\\44[/tex]

Part 3)

We can now do this again with the number of digital downloads for album 1 and compare it to the answer in Part 2

[tex]\frac{470}{1010} =0.465\\\\0.456*100=46.5\\\\47[/tex]

As the % for album 1 is 47% while the % for album 2 is 44%, album 1 sold a higher percentage of digital downloads than album 2

Answer:

There is no correlation

Step-by-step explanation:

There is no pattern with the points on the scatter plot.

Answer:

Part A, the chances of hitting the black circle are closer to zero than 1. Reason: the black circle has an area of around 3.14 while the white has 10^2-3.14 (area of circle = πr^2). Part B, the chances of hitting the white are closer to one than zero as they are 100-3.14= around 96.86

Step-by-step explanation:

Loook up

Answer:

D. 0.43, because 13 of the 30 days were cloudy

Step-by-step explanation:

The fist thing that you should do is divide 100 by 30.  We will do this so taht our percentages add up to 100.  When we do this we get 3.333.  Next we need to multiply this by the nubert of cloudy days 13 to get the answer D.

Answer:

1/4

Step-by-step explanation:

We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

1, 2, 3, 4, 5, 6

The probability of rolling an even number is;

(total number of faces with even numbers) / (total number of faces)

The even numbers are;

2, 4, 6

The probability of rolling an even number is thus;

3/6 = 1/2

If a penny is tossed, the probability of landing heads is simply;

1/2

This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

now, the probability that he will roll an even number and toss heads is;

1/2 * 1/2 = 1/4

we simply find the product of the probabilities of the individual events since they are independent.

Answer:  Best described as a fixed amount of income that is paid to an someone weekly, every other week, or on a  monthly basis. it could also be described as annual earnings paid out over a year.

Step-by-step explanation:

Answer:

16 remain

Step-by-step explanation:

144 divided by 6 = 24

24 in each batch

24 x 4 = 96

96 cookies in 4 batches

5/6 of 96 = 80

96-80=16

Answer:

16 chocolate cookies was left.

Step-by-step explanation:

Well first 144/6=24 and 24x4=96; 24x2=48. So 96x0.833333333=16.

Answer:

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

Step-by-step explanation:

to solve y = 4 + bx², we want x alone, so lets subtract 4 from both sides to start

y - 4 = bx² < now divide both sides by b to get x alone

[tex]\frac{y-4}{b}[/tex] = x² < we can square root both sides to get rid of the x² in the equation

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

the equation above is our answer. looking at the answer choices, they look a bit messed up, but I would have to say the answer is A if that line above the b is a division symbol

Answer:

[tex]\large\boxed{A.\ 3^2-16+36\div3}[/tex]

Step-by-step explanation:

[tex]3^2-(5-3)^4+4\times3^2\div3\\\\=3^2-(2)^4+4\times9\div3\\\\=3^2-16+36\div3\to\boxed{A}[/tex]

Answer:

m = ($55,000 - $40,000)/(9 - 3)

= $15,000/6 = $2,500

A salesperson's salary will increase by about $2,500 per year of employment.

[tex]\text{Hey there!}[/tex]

[tex]\text{Distribute the value of 7 in each of your terms}[/tex]

[tex]\text{(2x}^3+\text{3y}^2)(7)[/tex]

[tex]\text{2x}^3\times7=\text{14x}^3[/tex]

[tex]\text{3y}^2\times7=\text{21y}^2[/tex]

[tex]\text{We cannot combine like terms because they AREN'T any in this equation}[/tex]

[tex]\boxed{\boxed{\bf{Answer:14x^3+21y^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

[tex]a=2x^3[/tex] and [tex]b=3y^2[/tex]

Step-by-step explanation:

The given binomial expression is:  [tex](2x^3+3y^2)^7[/tex]

A standard binomial expression is like  [tex](a+b)^n[/tex]

Comparing the given expression with the standard binomial expression.....

[tex](a\ \ +\ \ b)^n \Longleftrightarrow (2x^3\ +\ 3y^2)^7\\ \\ So,\ \ a=2x^3\\ \\ and\ \ b=3y^2[/tex]

Answer:

h = 5.488 in

Explanation:

Area of a parallelogram is calculated as follows:

Area = base * height

In the given parallelogram, we can note that the base is 9.8 in and the corresponding height is 5.6 in

This means that:

Area of parallelogram = 9.8 * 5.6 = 54.88 in²

This same area can be calculated using the other base (10 in) and its corresponding height (h)

This means that:

Area of parallelogram = 10 * h

54.88 = 10 * h

h = 5.488 in

Hope this helps :)

Answer:

The price per pound was $0.88

Step-by-step explanation:

If $1.10--------------> 1.25 Pounds

     x <---------------  1 Pound

x = ($1.10)(1 Pound)/1.25 Pound

x = $0.88

So in a gallon there is 4 quarts, and in 1 quart there are 2 pints and in 1 pint there are 2 cups.

So for the 1 quart of onion that would equal 4 cups. Then for the 4 pints of broth there would be 8 cups and then the 6 cups and 2 cups just stay the same. So if you add those number of cups up you would get 20 cups. Divide that by 4 to see how many bowls she would need.

The answer is she would need 5 bowls

Postulate SAS can be used to prove triangle [tex]ABC[/tex] is congruent to triangle [tex]AED.[/tex]

" Triangle is defined as the two dimensional closed figure with three vertices, three sides, and three angles enclosed in it."

According to the question,

Given,

In triangle [tex]ABC[/tex] and [tex]AED[/tex]

[tex]\angle ADE = 120\° \ \ \ \ \ \ \ \ \ (1)[/tex]

[tex]\angle ACD = 60\°\\\\\angle ACD + \angle ACB = 180\° (linear \ pair)\\\\\implies \angle ACB = 180\° -60\°\\\\\implies \angle ACB = 120\° \ \ \ \ \ \ \ \ \ \ (2)[/tex]

From [tex](1)[/tex] and [tex](2)[/tex] we get

[tex]\angle ADE \cong \angle ACB[/tex]

[tex]AC \cong AD\\\\BC \cong ED[/tex]

By SAS postulate ,

Triangle ABC is congruent to triangle AED.

Hence, Option 3 is the correct answer.

Learn more about triangle here

brainly.com/question/2773823

#SPJ2

Answer:

(x - 1)(x - 2)(x - 3)

Step-by-step explanation:

Note the sum of the coefficients

1 - 6 + 11 - 6 = 0

hence x = 1 is a root and (x - 1) is a factor

dividing x³ - 6x² + 11x - 6 by (x - 1) gives

(x - 1)(x² - 5x + 6)

To factor the quadratic

Consider the factors of + 6 which sum to give - 5

The factors are - 2 and - 3, since

- 2 × - 3 = 6 and - 2 - 3 = - 5, hence

x² - 5x + 6 = (x - 2)(x - 3) and

x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)

Answer:

(x - 1)(x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^3 - 6x^2 + 11x - 6

f(1) = 1 - 6 + 11 - 6 = 12 - 12

= 0 so by the Factor Theorem (x - 1) is a factor.

Also, by the Rational Root theorem, as the last term is -6 and the leading coefficient is 1  some of -1, 2,-2, 3 -3, 6,-6  might be zeroes of the function.

f(-1) = -1 + 6 - 11 - 6 = -12 so  -1 is not a zero and (x+ 1) is not a factor.

f(2) = 8 - 24 +22 - 6

= 30 - 30 = 0  so (x - 2) is also a factor)

Since the last term is -6 the last  factor must be  (x - 3)

=Checking:  f(3) = 27 -6(9) + 33 - 6

= 27 - 54 + 33 - 6

= 60-60 = 0.

So the factors are (x - 1)(x - 2)(x - 3).

You can see by the image how did I get the answer

ANSWER

D.

[tex]9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0[/tex]

EXPLANATION

The standard equation of the hyperbola is

[tex] \frac{ {(y - 2)}^{2} }{4} - \frac{ {(x - 2)}^{2} }{9} = 1[/tex]

We multiply through by 36 to obtain:

[tex]9 {(y - 2)}^{2} - 4( {x - 2)}^{2} = 36[/tex]

We now expand to get,

[tex]9( {y}^{2} - 4y + 4) - 4( {x}^{2} - 4x + 4) = 36[/tex]

Expand :

[tex]9 {y}^{2} - 36y + 36 - 4 {x}^{2} + 16x - 16 = 36[/tex]

To get the general form, we equate everything to zero to get,

[tex]9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0[/tex]

The correct choice is D.

Answer:

8

Step-by-step explanation:

7m+8=8m

7m-8m= -8

Whenever you move a number for the opposite side , you change the sign. For example, the number is 6 , then you move it to the other side. The sign becomes negative 6.

-m=-8

The m cannot be a negative sign. So you multiply it by -1 and for -8.

-1(-m)= -1(-8)

m= 8

Double check answer if you want to:

7m+8=8m

Substitute the answer for m.

7(8)+8=8(8)

64=64

So the answer is correct. m=8

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

Answer:

The variable is x and x is equal to 9.2

Step-by-step explanation:

Keep in mind that a variable is a symbol put in place to represent an unknown value. In this case, our variable is "x."

In order to solve for x, we must isolate it. We can do this by dividing both sides of the equal sign by 3.5

3.5x ÷ 3.5 = 32.2 ÷ 3.5

Simplify.

x = 9.2

Answer:

12:15

16:20

Step-by-step explanation:

Note that what you multiply to one side, you multiply to the other (same with dividing) for ratios.

4:5 => 4 * 3: 5 * 3 = 12:15

4:5 => 4 * 4: 5 * 4 = 16:20

~

Answer:

12:5 and 16:20 are equalevent to 4:5

Step-by-step explanation:

12 divided by 3 = 4 (Because 3 x 4 = 12)

15 ÷ 3 =5 (because 5 x 3 = 15, we basicly raised the ration by a scale factor of 3)

12:15 = 4:5

16 ÷ 4 = 4 (because 4 x 4 = 16)

20 ÷ 4 = 5 (4 x 5 = 20 This ratio was raised by a scale factor of 4)

16 : 20 = 4:5

12:5 and 16:20

Hope this helped!

Answer:

125.66 in. ³

Step-by-step explanation:

2 × π × r × h  +  2 × π × r²

We only know the length of the diameter, but we have to find the radius. So we divide by 2 because the radius is half the diameter.

4 ÷ 2 = 2

So r = 2.

h = 8

2 × π × r × h

2 × 3.14 × 2 × 8 = 100.48

2 × π × r²

2 × 3.14 × 2²

2 × 3.14 × 4 = 25.12

Now add them up.

100.48 + 25.12 = 125.66

Hope this helps... :)

Answer:

1 ± √47

Step-by-step explanation:

Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:

2x^2 - x^2 = x^2 (first term);

3x - 5x = -2x (second term);

-7 - 39 = -46 (third term)

Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation.  Here the coefficients are a = 1, b = -2 and c = -46.

Then the discriminant, b^2 - 4ac, is:

(-2)^2 - 4(1)(-46) = 4 + 184.

The roots are:

     -(-2) ±√188         2 ± √4√47

    ------------------- = -------------------

              2                         2

                             = 1 ± √47 (last of the answer choices)

=

x = ------------------