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enot [183]
3 years ago
14

The nth term of a sequence is n squared +20

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Step-by-step explanation:

1 x 1 + 20 =21

2×2+20=24

3×3+20=29

only 5 terms less than 50

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What shape can be created by the given net? triangular pyramid wedge triangular prism cone
Juliette [100K]

Answer:

triangular prism

Step-by-step explanation:

6 0
2 years ago
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T.L. and Quina plan to add a 6-inch thick layer of gravel to their driveway. The driveway is 15 yards long and 3 yards wide. Wha
Artemon [7]

Answer:

Step-by-step explanation:

The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as

Volume = L × W × H

Where

H represents the thickness of the gravel to be added to the driveway.

W represents the width of the driveway.

L represents the length of the driveway.

From the information given,

L = 15 yards

W = 3 yards

H = 6 inches.

36 inches = 1 yard

6 inches = 6/36 = 0.167 yard

Therefore, the volume of gravel required would be

V = 15 × 3 × 0.167 = 7.515 cubic yards

7 0
3 years ago
Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the
madam [21]

Given:

The parent function is

f(x)=x^2

Consider the transformed function is g(x) instead of f(x) because both functions are different.

g(x)=-5(x-4)^2-8

Step-by-step explanation:

We have,

f(x)=x^2

g(x)=-5(x-4)^2-8

It can be written as

g(x)=-5f(x-4)-8            ...(i)

The translation is defined as

g(x)=kf(x+a)+b                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

a=-4, f(x) shifts 4 units right.

b=-8, f(x) shifts 8 units down.

k=-5, it is negative so f(x) reflected across the x-axis.

|k|=|-5|=5>1, so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0
3 years ago
Joe wants to purchase
svp [43]

Answer:

64.23%

Step-by-step explanation:

Percent error

(699-250)/699  x 100 = 64.23

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3 years ago
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At a team meeting, 80% of the tennis team was there. If there were 12
Illusion [34]

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

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80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

8 0
3 years ago
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