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3 years ago

How do you get the same base for the power

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

64 = 2 ^6
16 = 2^4 =

2^ 6*(2x+4) = 2^4 * 5x

6(2x+4) = 20x

10/3 x = 2x +4

4/3 x = 4

x = 3

you can also use logarithms like so

(2x+4)ln64 = 5x ln16

ln64/ln16 = 3/2

3/2 * 2x + 3/2 * 4 = 5x

3x + 6 = 5x

2x = 6

x = 3

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20 points

Sindrei [870]

Answer:

0.80X = Y

Step-by-step explanation:

Given that a store sells beans for 80 cent per pound to determine the equation that graphs the proportional relationship that gives the cost Y in dollars of buying X pounds of beans, the following mathematical reasoning must be performed:

Cost of each pound of beans = 0.80

0.80 x quantity (X) = Total cost (Y)

0.80X = Y

Thus, if 5 pounds of beans were purchased, the equation would operate as follows:

0.80 x 5 = Y

4 = Y

8 0

3 years ago

Unscramble the place values and write the number 2 ones + 1 ten + 7hundreds

blsea [12.9K]

You have 7 (100) = 700 also 1 (10) = 10 and 2 ones equals 2, so the number is 712

7 0

4 years ago

Read 2 more answers

56°<br> х<br> 20<br> Solve for x. Round to the nearest<br> tenth.

otez555 [7]

Answer:

vgkf çµr nm 5hr 6tqy7gu8hibyg7tf6r5d4es3

Step-by-step explanation:

4 0

3 years ago

Part B if the height of each prism is 10 Cm what is the surface area prism

Evgen [1.6K]

Answer:

Prism A:

$Area = 288cm^2$

Prism B:

$Area =250cm^2$

Step-by-step explanation:

Given

See attachment for prisms

$Height(h) = 10cm$

Required

Determine the surface area of both prisms

Prism A is triangular and as such, the surface area is:

$Area = 2 * A_b + (a + b + c) * h$

Where

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

and

$s = \frac{a + b + c}{2}$

Such that a, b and c are the lengths of the triangular sides of the prism.

From the attachment;

$a = 8; b =6; c =10$

So, we have:

$s = \frac{a + b + c}{2}$

$s = \frac{8 + 6 + 10}{2}$

$s = \frac{24}{2}$

$s = 12$

Also:

$A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}$

$A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}$

$A_b = \sqrt{576}$

$A_b = 24$

So:

$Area = 2 * A_b + (a + b + c) * h$

$Area = 2 * 24 + (8 + 6 + 10) * 10$

$Area = 288cm^2$

Prism B is a rectangular prism. So, the area is calculated as:

$Area = 2 * (ab + bh + ah)$

From the attachment

$a = b = 5$

$h =10$

So:

$Area =2 * (5 * 5 + 5 * 10 + 5 * 10)$

$Area =250cm^2$

7 0

3 years ago

If f(x)=(e^(2x)+1)^1/2 then f'(0)=

Kryger [21]

We will first find f ` ( x ) using the chain rule:
f ` ( x ) = $\frac{1}{2 \sqrt{e ^{2x}+1 } } * 2e^{2x} = \frac{e^{2x} }{ \sqrt{e ^{2x} +1} }$
f ` ( 0 ) = $\frac{e ^{0} }{ \sqrt{e^{0}+1 } } = \frac{1}{ \sqrt{2} }$
Answer: f ` ( 0 ) = 1/√2 ( or: √2/2 )

3 0

3 years ago