In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first 9 terms?
a .99
b. 1022
c. 1533
d. 765

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Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

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- Zack Slocum

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9514 1404 393

Explanation:

Linear trend

A linear trend is one that is best approximated by a straight line. Sometimes we use a straight-line approximation, even when it may not be a very good fit, because we are only interested in the sign of the slope, or its approximate magnitude. The parameters of a linear trend are about the easiest to calculate (though it doesn't matter much if an appropriate tool is used).

__

Non-linear trend

A non-linear trend is one that is best approximated by a curve other than a straight line. Trig functions (sine, cosine), exponential functions, quadratic functions are often used. Non-linear trends are not restricted to these kinds of functions.

Answer:

4

Step-by-step explanation:

This is a pair of special right triangles

in RST its 30-60-90 triangle

It's RT will be 4

then in triangle RQT it is 45-45-90 triangle

It's two sides are always equal so RQ = 4 as well

Answer:

The person above is correct B)y=2(x+7/2)²+1/2

Step-by-step explanation:

y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

If the vertex is (a, b), then the vertex form of an equation can be written as y = p(x-a)² + b, p is a constant.

Here, y = (x + 3)² + (x + 4)²

i.e. y = x² + 6x + 9 + x² + 8x + 16

i.e. y = 2x² + 14x + 25

i.e. y = 2x² + 2*2*(7/2)x + (7/2)² - (7/2)² + 25

i.e. y = 2(x + 7/2)² + 25/2 - 49/4

i.e. y = 2(x + 7/2)² + (50 - 49)/4

i.e. y = 2(x + 7/2)² + 1/4

Therefore, y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

So, no option is correct.

Learn more about vertex form here -

https://brainly.com/question/27614899

#SPJ2

Answer:

The angle between the ramp and the horizontal is 11.54 degrees

Step-by-step explanation:

Here, we want to get the angle between the ramp and the horizontal

What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle

Now, the angle we want to calculate is the angle that faces the measure 2 m

The given measure of 10 m will represent the hypotenuse of the right triangle

The trigonometric ratio that links the hypotenuse and the opposite is the sine

The sine is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sin theta = opp/hyp

sin theta = 2/10

sin theta = 0.2

theta = sin^-1 0.2

theta = 11.54

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

Answer:

7.5 i belive

Step-by-step explanation:

area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5

Answer:

33 miles

Step-by-step explanation:

5.5÷4= 1.375 gal per round

1.375×24= 33 miles

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

Answer:

see in the picture, we have: y = 6 + x

=> x = y - 6

because KB//PA, using Thales Theorem, we have:

[tex] \frac{ok}{op} = \frac{kb}{pa} \\ \\ = > \frac{x}{y} = \frac{5}{8} \\ \\ < = > \frac{y - 6}{y} = \frac{5}{8} \\ \\ < = > 5y = 8(y - 6) \\ \\ < = > 5y = 8y - 48\\ \\ < = > 3y = 48 \\ \\ = > y = 16[/tex]

because OP = y => OP = 16

Step-by-step explanation:

mark me brainliest.........

Answer:

Step-by-step explanation: Last one

Answer:

[tex]x\geq 6[/tex]

Step-by-step explanation:

The last answer listed

Answer:

54 cm

Step-by-step explanation:

Using the formula for the area of a trapezoid (area is the sum of the two bases times the height and then halved):

A = 1/2 (h) (b1 + b2)

5350 = 1/2 (h) (135 + 65)

5350 = 1/2 (h) (200)

5350 = h (100)

5350/100 = h

h = 53.5

h ≈ 54 cm

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

Answer:

x = 35.5

Step-by-step explanation:

cos 65° = 15/x

cos 65° · x = 15

x = 15/cos 65°

x = 35.5

Answer:

1/6

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

67 centimetres

Step-by-step explanation:

44+23=67

44cm= already

1cm= every month

Answer:

$212.31

Step-by-step explanation:

divide $36,080 by 52 weeks in a year. you get $693.84 weekly.

divide $47,120 by 52 weeks in a year. you get $906.15 weekly.

then subtract 906.15 from 693.84 and you get 212.31

Answer:

bro check my explanation

Step-by-step explanation:

the answer is 62cm3.

if I am right.

please give a brainliest

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

Answer:

[tex]factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer[/tex]

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Answer:

Answer is 980.

Step-by-step explanation:

First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.

Answer:

The answer is 980.

Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.

Hope this helps.

Answer:

I atttached some screenshots of something that explinaed better than I can. Another way to do it is rations. If you cna determine each of the angles, then you can set the sides equal to each other and find the missing sides otherwose this is proballu the best way to do it.

Step-by-step explanation:

He has the answer so just copy what he said

Answer:

The answer is "[tex]r=0.175 \ ft[/tex]"

Step-by-step explanation:

using formula:

[tex]\to \text{profit = revenue-cost}[/tex]

[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]

so,

[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]

[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]  

Answer:

1: 3 dimes & 8 nickles

2: 17 & 8

3: can't do 3, i'm sorry but you have to do it

4: y = 2x+2     y = -1/3x + 6

5: no bc the only part of the system that that point is on is the first equation, 2x-y=1.

have a nice day :)

Answer: 24 tests

Step-by-step explanation:

Ms. Carey graded 1/3 of the tests and still had 16 tests to go.

This means that the 16 tests represent the remaining proportion of the total number of tests:

= 1 - 1/3

= 2/3

2/3 of the total is equal to 16 tests. Assuming the total is x, the expression would be:

2/3x = 16

x = 16 ÷ 2/3

x = 16 * 3/2

x = 24 tests