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4 years ago

PLEASE HELP ASAP <333 What is the sum of the geometric series ?

Mathematics

1 answer:

ankoles [38]4 years ago

7 0

Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

One: 6^(1 - 1) = 6^0 = 1

Two: 6^(2 - 1) = 6^1 = 6

Three: 6^(3 - 1) = 6^2 = 36

Four: 6^(4 - 1) = 6^3 = 216

Sum = 259

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its 76 degrees fahrenheit at the 6000-foot level of a mountain, and 49 degrees Fahrenheit at the 12000-foot level of the mountai

brilliants [131]

$T = \frac{-9}{2}x + 103$ is the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet.

Solution:

The linear equation in slope intercept form is given as:

T = cx + k ------ (i)

Where "t" is the temperature at an elevation x

And x is in thousands of feet

Given that its 76 degrees fahrenheit at the 6000-foot level of a mountain

Given, when c = 6 thousand ft and $T = 76^{\circ}$ fahrenheit

This implies,

From (i)

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c ----- (ii)

Given that 49 degrees Fahrenheit at the 12000-foot level of the mountain

Given, when c = 12 thousand ft and $T = 49^{\circ}$ fahrenheit

This implies,

From (i)

49 = c(12) + k

49 = 12c + k

Substitute (ii) in above equation

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

$c = \frac{-9}{2}$

Substituting the value of c in (ii) we get

$k = 76 - 6( \frac{-9}{2})\\\\k = 76 + 27 = 103$

Substituting the value of c and k in (i)

$T = \frac{-9}{2}x + 103$

Where "x" is in thousands of feet

Thus the required linear equation is found

5 0

3 years ago

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)

viktelen [127]

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = $\frac{2+4}{2+2}$ = $\frac{6}{4}$ = $\frac{3}{2}$

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = $\frac{3}{2}$ (x - (- 3)), that is

y - 1 = $\frac{3}{2}$ (x + 3) ← in point- slope form

6 0

3 years ago

What is the measure of the missing angle?

mestny [16]

Answer:

25°

Step-by-step explanation:

These types of figures have 3 angles, which add up to 180°. If you found the 2 angles already, you can find the last one by adding both angles together and using 180° to deduct it with the total degree of thd 2 angles.

127 + 28 = 155

180 - 155 = 25

5 0

3 years ago

In the 9th and 10th grades at Jefferson High School, there are 236 students. Of thoes students, 121 are in 9th grade, Of the 214

Lorico [155]

Total -

Right-handed: 214! Left-handed: 22!

Total of students: 236 students

I hope this helped! :D

Step-by-step explanation:

9th Grade: Right Handed: 111! Left Handed: 10!

10 Grade: Right Handed: 103! Left Handed: 22!

Add left handed for both grades. Add right handed for both grades. And add total numbers.

I hope this helped :D

5 0

3 years ago

Read 2 more answers

Looks like pee wee hermin on crack

mestny [16]

Answer:

I second that,

Step-by-step explanation:

4 0

3 years ago

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