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3 years ago

Evaluate 15r -1 when r=5

Mathematics

1 answer:

alukav5142 [94]3 years ago

3 0

Answer:

Step-by-step explanation:

You just have to substitute r with 5.

Now, the equation looks like this:

$15(5)-1$

Next, solve $15*5$ first according to PEMDAS

And $15*5$ equals 75

$\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}$

Lastly, do $75-1$ which equals 74

$\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}$

Therefore, 74 is your answer.

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Annual high temperatures in a certain location have been tracked for several years. Let

stiks02 [169]

Answer:

Y= 19.86 - 0.42b

Step-by-step explanation:

Step 1: Write the formula

Regression Line: Y = a + bx

a=(Total Y) x (Total X^2) - (Total X) x (Total XY)

n x (total X^2) - (Total X)^2

b= n x (Total XY) - (Total X) x (Total Y)

n x (total X^2) - (Total X)^2

Step 2: Make a table to find all values

X Y X^2 Y^2 XY

5 17.19 25 295.4961 85.95

6 19.12 36 365.5744 114.72

7 16.75 49 280.5625 117.25

8 15.58 64 242.7364 124.64

9 16.21 81 262.7641 145.89

10 14.14 100 199.9396 141.1

11 14.97 121 224.1009 164.67

12 16.2 144 262.44 194.4

68 130.16 620 2133.614 1088.62 TOTAL

Step 3: Substitute all values in the equation to find a and b

a=(Total Y) x (Total X^2) - (Total X) x (Total XY)

n x (total X^2) - (Total X)^2

a= (130.16 x 620) - (68 x 1088.62)

8 x (620) - (68)^2

a = 80699.2 - 74026.16

336

a = 19.86

b = n x (Total XY) - (Total X) x (Total Y)

n x (total X^2) - (Total X)^2

b = 8 x (1088.62) - (68 x 130.16)

8 x (620) - (68)^2

b = 8708.96 - 8850.88

336

b = -0.42

Step 4 : Apply values of a and b in the formula of the regression line.

Regression Line: Y = a + bx

Y= 19.86 + b (-0.42)

Y= 19.86 - 0.42b

8 0

3 years ago

Please answer! It would be appreciated if work is also shown!

borishaifa [10]

Quantity of paint left = $\frac{389}{480}$ gallons

Solution:

Quantity of yellow paint = $1\frac{1}{5}=\frac{6}{5}$ gallons

Quantity of green paint = $1\frac{1}{6}=\frac{7}{6}$ gallons

Quantity of blue paint = $\frac{7}{8}$ gallons

Quantity of paint used = $\frac{3}{4}$ gallons of each paint

Quantity of paint left = $1-\frac{3}{4}=\frac{1}{4}$ gallons of each paint

Quantity of paint left = $(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}$

Taking LCM for 5, 6, 8, we get LCM = 120

$(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}$

$=(\frac{389}{120})\times\frac{1}{4}$

$=\frac{389}{480}$

Hence, Mark will have $\frac{389}{480}$ gallons of paint left after painting the mural.

3 0

3 years ago

If I were to start with $50 and add $20 each week for 12 weeks, what is an equation that represents the relationship between the

ExtremeBDS [4]

Answer:

This is a function y = mx + b:

You start with $50, so the y-intercept(b) is 50.
Adding $20 a week means that the slope(m) is 20.

So, the function would be y = 20x + 50, where y is the dollar amount after x weeks and x cannot be greater than 12.

8 0

1 year ago

Solve for the equation below 4x^n + x^4n = ?

slavikrds [6]

4x + 6 = -10Simplifying 4x + 6 = -10 Reorder the terms: 6 + 4x = -10 Solving 6 + 4x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4

7 0

3 years ago

Please give me the answer and show me how you solved it

mixer [17]

on number 5 question the answer is 4,5,9

Step-by-step explanation:

it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)

3 0

3 years ago

Read 2 more answers