Find the equation of the line through (10, 4) that is parallel to the line with the equation
y = -1x + 3. Give the equation in standard form.

Answer:

The plot shows a positive linear association. Price is the explanatory variable.

*See attachment for the scatterplot of the data

Step-by-step explanation:

The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.

The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.

When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.

The data given below is what we would use in plotting the scatterplot shown in the attachment:

Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)

25 => 0.31

49 = > 1.69

60 => 1.66

55 => 1.7

68 => 3.31

The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.

-c

No , he needed to apply the exponents to all factors in the product in the second step .

Answer:

x=14?

Step-by-step explanation:

2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14

Answer:

One solution

Step-by-step explanation:

3x-6 = 2(x+4)

3x-6=2x+8

3x-2x-6=8

x-6=8

x=14

Answer:

7p, 7*p

Step-by-step explanation:

Answer:

2,6,18,54

How I got this answer:

Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.

step by step:

2×3=6

6×3=18

18×3=54

The common ratio is 3.

Answer:

No

Step-by-step explanation:

2-3= -1

3-2 = 1

Answer:

10

Step-by-step explanation:

This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:

1  2  3  4  5

Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.

Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.

Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.

Person 4 can only shake 5's hand, which is 1 handshake.

Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

Answer:

n = 10

Step-by-step explanation:

(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰

use the rules of exponents to simplify the expression.

2¹ x⁹ yⁿ * 4¹ x² y¹⁰

use the commutative property of multiplication

2¹ * 4¹ x⁹ x² yⁿ y¹⁰

add exponents of the same base:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰

back to original equation:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰ =  8 x¹¹ y²⁰

therefore

the value of n = 10

Answer:

0.714

Step-by-step explanation:

Wgat more explanation could I give you. lol

Step-by-step explanation:

1/5^(3+6)= 1/5^9

the solution

Step-by-step explanation:

1/5^(3+6)=1/5^9

the solution

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

Answer:

100%-75.3%

Step-by-step explanation:

The total probability of all outcomes is 100%.

If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.

Answer:

25 guests is 2.5 times more than 10

Step-by-step explanation:

Multiply by 2.5

Chicken = 16 x 2.5 = 40

Lasagna = 7 x 2.5 = 17.5 , round to 18

Deli meat = 1.8 x 2.5 = 4.5, round to 5

Sliced cheese = 15 x 2.5 = 37.5, round to 38

Buns = 1 x 2.5 = 2.5, round to 3

Potato salad = 2 x 2.5 = 5

Russell would run 182 miles for 1 minute.

Answer: 170

Step-by-step explanation:

you move the decimal to the right one time.

Step-by-step explanation:

On the right side, 3 + 4 + 7 = 14, so the other two numbers must add up to 22.  Therefore, they must be 10 and 12.

Let's assume 12 is the top number and 10 is the bottom number.

The left side adds up to 12 + 9 + 2 = 23, so the other two numbers add up to 13.  Therefore, they must be 5 and 8.

The bottom side adds up to 10 + 1 + 11 = 22, so the other two numbers add up to 14.  Therefore, they must be 6 and 8.

So the bottom left number is 8.

Answer:

1100/54 yds

Step-by-step explanation:

First convert inches and feet to yards

[3 ft = 1 yd, 12in = 1yd]

5ft = 1 2/3 yds

6in = 1/6 yds

220ft = 73 1/3 yds

Now use the volume formula,

b*w*h = A

[1 2/3] * [1/6] * [73 1/3]

= [5/3] * [1/6] * [220/3]

= [5/18] * [220/3]

= 1100/54 yds

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

Answer:

Step-by-step explanation:

First calculate how many pounds of apples you can buy for 20 dollars.

20/1.18 = 16.949 pounds

Now convert that to grams

1 pound = 454 grams

16.949   = x

Cross multiply

1 x = 16.949 * 454

x = 7694.915 grams.

Round to 3 digits

9690 grams.

Answer:

y=3

y=1

y=0

Step-by-step explanation:

[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]

Answer:

y=3

y=1

y=0

Step-by-step explanation:

For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.

x=-1

[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex]              [multiply]

[tex]y=\frac{1}{2}+\frac{5}{2}[/tex]                        [add]

[tex]y=\frac{6}{2}[/tex]                               [divide]

[tex]y=3[/tex]

---------------------------------------------------------------------------------------------------------------

x=3

[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex]                [multiply]

[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex]                    [add]

[tex]y=\frac{2}{2}[/tex]                              [divide]

[tex]y=1[/tex]

---------------------------------------------------------------------------------------------------------------

x=5

[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex]               [multiply]

[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex]                   [add]

[tex]y=0[/tex]

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!

Answer:

The prove of the given identity is shown below:

Step-by-step explanation:

It seems that the question involves the proving of a trigonometric identity.

Therefore, we are going to work independently on each side of the equal sign.

We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]

and now we use the Pythagorean identity to replace the cosine square expression:

[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]

in the difference of square trig functions we had arrived to:

[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]

We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.

Answer:

.75

Step-by-step explanation:

12/16 = 75/100

100/4 = 25

16/4 = 4

3 x 4 = 12

3 x 4 = 75

12/16 = 3/4

75/100 = 3/4

Hopefully this helps you

pls mark brainlest

Answer:

It would be 649

Step-by-step explanation:

118 ÷ 2= 59

59 x 11= 649

Answer:

649m

Step-by-step explanation:

[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]

so that 59m/s we multiply by 11s

[tex]\frac{59m}{s} (11s)=649m[/tex]

Answer:

Step-by-step explanation:

Part (A).

Row                Number of seats

1                                 9

2                                11

3                                13

4                                15

5                                17

6                                19

7                                21

(B). Jonathan models the equation for the pattern of number of seats as,

S = 7r + 2

Where S = number of seats in every row 'r'

For r = 1,

S = 7(1) + 2 = 9

Models for row 1.

For r = 2,

S = 7(2) + 2 = 16

Not correct.

For r = 3,

S = 7(3) + 2 = 23

Not correct.

Therefore, this equation doesn't work for the rows above the first row.

(C). Correct equation is,

S = 2r +7

For r = 1,

S = 9

For r = 2,

S = 4 + 7 = 11

For r = 3,

S = 6 + 7 = 13

Therefore, this equation works for all the rows.

(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)

(E). 91 = 2r + 7

     2r = 91 - 7

     2r = 84

       r = 42

Therefore, in 42nd row number of seats = 91