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3 years ago

Solve the equation. Then check your solution.

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Answer:

x-4=2

x=2+4

x=6 is the answer

sleet_krkn [62]3 years ago

7 0

X-4=2

Take -4 to the other side as a positive number

2+4=6

x is equal to 6 (option b)

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Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

$5^{-2x-1}=4^{4x+3}$

$\log(5^{-2x-1})=\log(4^{4x+3})$

$(-2x-1)\log(5)=(4x+3)\log(4)$

$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

$x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}$

Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0

4 years ago

4(x+7)+3(2x-3) what is the answer to this

madam [21]

Answer:

10x+19 i think

8 0

3 years ago

Read 2 more answers

(2x + 3) + (x + 1) help

zhenek [66]

3x+4 combine like terms I think lol

4 0

3 years ago

Suppose that it is known that the number of items produced in a factory during a week is a random variable with mean 50. If the

iVinArrow [24]

Answer:

The probability would be 0.9586

Step-by-step explanation:

Given,

Mean, $\mu = 50$ ,

Variance, $\sigma^2 = 24$

Standard deviation,

$\sigma = \sqrt{24}=2\sqrt{6}$ ,

If X represents the number of items produced in a factory during a week.

Hence, the probability that this weeks production will be between 40 and 60

$=P(40 < X < 60)$

$=P(\frac{40-\mu}{\sigma} < \frac{X-\mu}{\sigma} < \frac{60-\mu}{\sigma})$

$=P(\frac{40-50}{2\sqrt{6}} < z < \frac{60-50}{2\sqrt{6}})$

$=P(-\frac{10}{2\sqrt{6}} < z < \frac{10}{2\sqrt{6}})$

$=P(-2.041 < z < 2.041)$

$=P(z< 2.041) - P(z< -2.041)$

Using z score table

= 0.9793 - 0.0207

= 0.9586

4 0

3 years ago

Heather measured a swimming pool and made a scale drawing. In real life, the pool is 45 meters long. It is 65 millimeters long i

oksano4ka [1.4K]

Greetings!

"Heather measured a swimming pool and made a scale drawing. In real life, the pool is 45 meters long. It is 65 millimeters long in the drawing. What scale did Heather use for the drawing?"...

65mm=45m
Reduce to Simpliest Form.
65/5=45/5
13mm=9m

As a Representative Fraction (scale), it would look like: (in regards to mm)
13:9000

Hope this helps.
-Benjamin

4 0

3 years ago