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Gekata [30.6K]
2 years ago
11

What is the sum of the first five terms of the geometric series 2 − 8 + 32 −

Mathematics
1 answer:
MrMuchimi2 years ago
5 0

Answer:

∑ (n = 1 to 5) (2·(-4)^(n - 1))

S5 = 2·((-4)^5 - 1)/((-4) - 1) = 410


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Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previ
Ainat [17]

Answer:

N = D * 1.20

Step-by-step explanation:

In order to calculate the number of dishes that the previous menu had we first need to turn this percentage into a decimal by dividing it by 100

20% / 100 = 0.20

Now we add a 1 to it since we are increasing the old menu by this amount

0.20 + 1 = 1.20

Now we can multiply this by the previous menu dishes (D) to get the new amount of menu dishes (N)

N = D * 1.20

4 0
2 years ago
E ( y ) = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 3
GenaCL600 [577]

Answer:

b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.

Step-by-step explanation:

Hello!

For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.

In this example the dependant variable is:

Y: Exam score

And you have three explanatory variables:

X₁: salary of the teacher ($).

X₂: hours of sleep per week of a student.

X₃: number of study hours of a student.

The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃

You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5

The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.

Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.

I hope it helps!

5 0
3 years ago
Why is it that -log(x+8)=4-log(x-7) has no solution? (they are log base 2)
Lerok [7]
-log(x+8)=4-log(x-7) 

-\log _{10}\left(x+8\right)+\log _{10}\left(x+8\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right) 

0=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right) 

0+\log _{10}\left(x-7\right)=4-\log _{10}\left(x-7\right)+\log _{10}\left(x+8\right)+\log _{10}\left(x-7\right) 

\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+4 

\log _{10}\left(x-7\right)=\log _{10}\left(x+8\right)+\log _{10}\left(10000\right) 

x-7=\left(x+8\right)\cdot \:10000 

\mathrm{Solve\:}\:x-7=\left(x+8\right)10000:\quad x=-\dfrac{26669}{3333} 

\mathrm{Verifying\:Solutions}:\quad x=-\dfrac{26669}{3333}\space\mathrm{False} 

\mathrm{No\:Solution\:for\:x\in \mathbb{R}}
3 0
2 years ago
Read 2 more answers
Three consecutive odd integers have a sum of 3.what are the number
lapo4ka [179]
X = smallest odd
x + 2 = second odd
x + 4 = third odd

x + x + 2 + x + 4 = 3
3x + 6 = 3
3x = -3
x = -1

The numbers are -1, 1, 3. Hope this helps!
6 0
3 years ago
Los Angeles is about 385 miles from San Francisco. How far apart would the cities be on a map with a scale of 1 in. = 25 mi? If
Dmitry_Shevchenko [17]
15.4 should be the answer
8 0
2 years ago
Read 2 more answers
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