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ser-zykov [4K]
3 years ago
7

What is the sum of the first 10 terms in the geometric sequence -3 6 -12 24 -48

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0
Use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -3
r is the common ratio, -2
and n is the number of terms

Thus,
Sum = ((-3)((-2)^10 - 1))/(-2-1) = 1023
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Nicole used 24 pieces of fruit if 1/6 of them were peaches how many peaches in all did Janeen and Nicole use to make their fruit
timama [110]
4 because you have 6 equal groups . 6 x ? = 24 answer 4
4 0
3 years ago
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The scale of a model airplane is 1:72. If the wingspan on the model airplane is 7.5 inches, then the wingspan of the actual airp
svp [43]

Answer:

45 feet

Step-by-step explanation:

Use ratios:

\frac{1}{72}= \frac{7.5}{x}

x = 540 inches

divide by 12 to get 45 feet

6 0
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8 kg of mixed nuts containing 26% peanuts were mixed with 5 kg of another kind of mixed nuts that contain 52% peanuts. peanuts a
Gnesinka [82]

Answer:

<em>36%</em>

Step-by-step explanation:

"8 kg of mixed nuts containing 26% peanuts"

weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg

"5 kg ... that contain 52% peanuts"

weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg

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percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%

6 0
3 years ago
A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine
Yanka [14]

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

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<h3><u>the magnitude of the load is 2000N</u>.</h3>
7 0
3 years ago
Find the value of the following expression:
Illusion [34]
Ok, so first you solve whatever is in the parentheses.
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Then 5 •190 = 950
Then multiply 950 • 140 = 133,000
Then it should look like this:
133,000-2•228
Multiply 2 • 228 = 456
Then subtract 456 from 133,000.
The answer should come out to 132,544.
3 0
3 years ago
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