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3 years ago

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(9x5)x10to the 4th power

1 answer:

WARRIOR [948]3 years ago

7 0

$(9\times 5) \times 10^4 = 20 \times 10,000 = 200,000$

So 200,000 is your answer :)

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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

Natalie sawed 5 boards of equal length to make a stool. Each was 9/10 of a meter long. What is the total length of the boards sh

STALIN [3.7K]

total length of the boards = 4 1/2 meters

Given:
number of boards = 5
length of each board = 9/10 meters

5 * 9/10 = (5*9)/10 = 45/10
Simplify fraction:
45/10 = 4 5/10 or 4 1/2 meters.

5 0

4 years ago

2/3(9a+18b)=6a+kb

bagirrra123 [75]

Answer:

4.) 12

Step-by-step explanation:

$\frac{2}{3} (9a + 18b) = 6a + kb \\ \\ \implies \: \frac{2}{3} \times 9a + \frac{2}{3} \times 18b = 6a + kb \\ \\ \implies \: { 6a} + 12b = 6a + kb \\ \\ \implies \: \cancel{ 6a} + 12b - \cancel{ 6a} = kb \\ \\ \implies \: 12b = kb \\ \\ \implies \: k = \frac{12\cancel b}{\cancel b} \\ \\ \huge \implies \: k = 12$

8 0

3 years ago

In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest te

ludmilkaskok [199]

Answer:

$x=6.183ft$

Step-by-step explanation:

From the question we are told that:

Angel of side $T=90$

Angel of side $R=82$

Length Side $TR=44$

Generally the equation for Angle of side ST $\theta$ is mathematically given by

Since Angle in Triangle =180 therefore

$\theta=180-(90+82)$

$\theta=8$

Therefore Applying sine rule to get Length of ST x

$\frac{x}{sin\theta}=\frac{TR}{sin82}$

$x=\frac{44}{sin82}*sin8$

$x=6.183ft$

3 0

3 years ago

It takes you 8 hours to dig a hole. It would take you and your brother 5 hours to dig that same hile together. If your brother w

inn [45]

Answer:

I think if it takes me 8 hours then it will surely take him 8 hours

6 0

3 years ago

Read 2 more answers