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1 year ago

Write an explicit formula for an, the nth term of the sequence 33, 30, 27

Mathematics

1 answer:

lawyer [7]1 year ago

8 0

Answer:

aₙ = aₙ₋₁ - 3

Step-by-step explanation:

Given :

First term : 33

Common difference = 30 - 33 = -3

============================================================

Then the formula will be :

aₙ = aₙ₋₁ - 3

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If f(x) = x5 â€" 1, g(x) = 5x2, and h(x) = 2x, which expression is equivalent to [g o f o h](9)? 2(5(95 â€" 1)2) 2((5 Â· 92)5 â€

Elina [12.6K]

The equivalent expression for [gofoh](9) is 5(32(9)^5-1).

According to the given question.

We have three functions

f(x) = x^5 - 1

g(x) = 5x^2

h(x) = 2x

Here, we have to find the equivalent expression for [gofoh](9).

so,

gofoh(x)

= g((2x)^5 -1)

= g(32x^5 -1)

= 5(32x^5 -1)

Therefore,

gofoh(9)

= 5(32(9)^5-1)

Hence, the equivalent expression for [gofoh](9) is 5(32(9)^5-1).

Find out more information about equiavlent expression here:

brainly.com/question/28170201

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6 0

1 year ago

7.5g of sugar is needed for every cake made how much sugar is needed for 10 cakes

lana [24]

Answer:

75 g

Step-by-step explanation:

i think as this a recipe propotional so you have to find how much sugar is needed for 1.g

4 0

3 years ago

Need help with question 3. Dont Understand

Vedmedyk [2.9K]

Answer:

It represents both the positive and the negative square root of 256.

Step-by-step explanation:

16*16=256

-16*-16=256

They are both valid answers.

5 0

3 years ago

PLEASE HELP, I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER))

madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is $\pi r^2$ and the volume of a cylinder with that base is just that area times the height:

$V=\pi r^2\times h$

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

$r=30\times0.5=15$

Next, you can use that radius to calculate the area of the base:

$A=3.14\times15^2\\A=3.14\times225\\A=706.5$

Finally, multiply that by the height to find the volume of the cylinder:

$V=706.5\times13\\V=9184.5$

The volume of this cylinder is 9184.5 cubic feet.

7 0

2 years ago

A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

STALIN [3.7K]

Answer:

The width of rectangle is $W=\frac{108}{13}\ cm$ or $8\frac{4}{13}\ cm$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm$

substitute

$26=2(x+4+12x)$

solve for x

$26=2(13x+4)$

$26=26x+8$

$26x=26-8$

$26x=18$

$x=\frac{18}{26}$

simplify

$x=\frac{9}{13}$

Find the width of rectangle

$W=12x\ cm$

substitute the value of x

$W=12(\frac{9}{13})=\frac{108}{13}\ cm$

Convert to mixed number

$\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm$

7 0

2 years ago