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3 years ago

What is the lateral area of the cylinder

Mathematics

1 answer:

asambeis [7]3 years ago

7 0

I hope this helps you

lateral area= 2.pi.radius.height

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

6 0

3 years ago

X + 76 what does x equal

Anna11 [10]

Answer:

well what's the equation to know what x equals

4 0

3 years ago

The fitted regression is Sales = 832 − 28.2 Price. (a-1) If Price = 1, what is the prediction for Sales? (Round your answer to 1

almond37 [142]

Answer:

Part (a-1): The prediction for Sales is 803.8.

Part (a-2): The correct option is: An increase in price decreases sales.

Part (B): The prediction for sales is 211.66

Part (C): The intercept is meaningful as sales will be maximized when price is zero.

Step-by-step explanation:

Consider the provided regression:

Sales = 832 − 28.2 Price

(a-1) If Price = 1, what is the prediction for Sales?

Substitute Price = 1 in above regression.

Sales = 832 − 28.2 (1) = 803.8

Hence, the prediction for Sales is 803.8.

Sales (a-2) Choose the correct statement.

Here we can observe that as we increase the price, sales decrease.

Thus, the correct option is: An increase in price decreases sales.

(b) If Price = 22, what is the prediction for Sales?

Substitute Price = 22 in above regression.

Sales = 832 − 28.2 (22)

Sales = 832 − 620.4

Sales = 211.66

Hence, the prediction for sales is 211.66

Sales (c) Choose the right option.

As we increase the price, sales decrease that means the sales will be maximum if the price is 0.

The intercept is meaningful as sales will be maximized when price is zero.

3 0

3 years ago

Chris has $170.00. Candies cost $8.50 each. How many candies can Chris buy? $ Blank

Yuki888 [10]

Answer:

Step-by-step explanation:

170/8.5

8 0

3 years ago

A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the

leva [86]

The length of the bridge is the distance from the beginning to the end.

The distance b between each beam is 9ft.

Let:

$I \to$ I-Beam

$d_I \to$ distance between I beam and the bridge

$b \to$ distance between each I beam

Given that:

$I = \frac 34 ft\\$

$d_I = 3 ft$

$Length = 55ft\ 6in$ --- length of the bridge

From the diagram (see attachment), there are: 6 I-beams.

So, the length of the 6 I-beams is:

$L_1 = 6 \times I$

$L_1 = 6 \times \frac 34$

$L_1 = \frac {18}4$

$L_1 = 4.5ft$

There are 2 I-beams beside the bridge

So, the distance between the 2 I-beams and the bridge is:

$d_1 =2 \times d_I$

$d_1 =2 \times 3ft$

$d_1 =6ft$

There are 5 spaces between the I-beams

So, the length of the total spaces is:

$L_2 = 5 \times b$

$L_2 = 5b$

The total length is:

$Length = L_1 + d_1 + L_2$

So, we have:

$4.5ft + 6ft + 5b = 55ft\ 6in$

Collect like terms

$5b = 55ft\ 6in - 4.5ft - 6ft$

$5b = 44.5ft\ 6in$

Convert inches to feet

$5b = 44.5ft\ + \frac{6}{12}ft$

$5b = 44.5ft\ + 0.5ft$

$5b = 45ft$

Divide both sides by 5

$b = 9ft$

Hence, the distance (b) between each beam is 9ft.