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Dmitry_Shevchenko [17]

4 years ago

6

How do you find the volume of an l block

1 answer:

raketka [301]4 years ago

6 0

You multiply the height, width, and length together to find the volume.

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Hello, help me please)

AlladinOne [14]

Answer:

Given equation:

$10^{5x-2}=2^{8x-3}$

Take natural logs of both sides:

$\implies \ln 10^{5x-2}= \ln 2^{8x-3}$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies (5x-2)\ln 10=(8x-3) \ln 2$

Expand brackets:

$\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2$

Collect like terms:

$\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2$

Factor left sides:

$\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2$

$\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax$

$\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3$

$\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay$

$\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)$

Simplify:

$\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)$

$\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}$

$\implies x=0.4232297737...$

6 0

2 years ago

Find the circumference and area of a circle with a diameter of 22 inches.

Katyanochek1 [597]

Answer:

$Circumference=22\pi\;inches \\\\Area =121\pi \;inches^2$

Step-by-step explanation:

Diameter of the circle= $22\;inches$

$Radius=\dfrac{22}{2} =11\;inches$

Circumference of a circle:

$=2\times \pi \times r$

$=2\times \pi \times 11\\\\=22\pi \;inches$

Area of the circle:

$=\pi \times r^2$

$=\pi \times 11\times 11\\\\=121\times \pi \\\\=121\pi \;inches^2$

8 0

3 years ago

Which statement is true ?

podryga [215]

Answer:

d

Step-by-step explanation:

plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members

7 0

2 years ago

Two rectangles are similar. The ratio of their corresponding sides is 1:4.

larisa [96]

ratio of perimeter is the same as ratio of sides so perimeter would be 1:4

since area is in square units you need to square the ratio (1:4)^2 which is 1:16

7 0

3 years ago

Identify the correct solution to the problem 3 x 9/10

vitfil [10]

Step by step:

3 x 9/10
Turn 3 into a fraction
3/1 x 9/10
Now multiply straight across
3x9=27 and 1x10=10
So you get
27/10 or 27/10 or 2.7

This can also be completed by simply turning 9/10 into a decimal and doing
3 x 0.9 = 2.7

3 0

2 years ago