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3 years ago

What is the value of a when we rewrite 15^x as a^x/6

Mathematics

1 answer:

jarptica [38.1K]3 years ago

4 0

Answer:

a = 11,390,625.

Step-by-step explanation:

a^x/6 = (a^1/6)^x

(a^1/6)^x = 15^x so:

a^1/6 = 15

1/6 ln a = ln 15

ln a = 6 ln 15

ln a = 16.2483

a = 11390625.

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(2x-6)+4(x-3) I need help

lys-0071 [83]

Answer:

6x-18

x=-3

Step-by-step explanation:

4 0

3 years ago

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*Mathematics - Worth 20 Points* Kareem cannot decide which of two washing machines to buy. The selling price of each is $720. T

valentina_108 [34]

Answer:

see explantion

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

The second washing machine:

- is marked down by 20% with an additional 10% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Thus, the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

7 0

3 years ago

What is the exponent in the expression 4 power 5

Viktor [21]

4^5

4 is the base
5 is the power

Same as writing it like

4 x 4 x 4 x 4 x 4

5 0

3 years ago

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According the the U.S. Department of Education, full-time graduate students receive an average salary of $15,000 with a standard

Firdavs [7]

Answer:

Step-by-step explanation:

Given that :

population Mean = 15000

standard deviation= 1200

sample size n = 100

sample mean = 16000

The null and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 15000 }\\ \\ \mathtt{H_1 : \mu > 15000}$

Using the standard normal z statistics

$z = \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}$

$z = \dfrac{16000 -15000}{\dfrac{1200 }{\sqrt{100}}}$

$z = \dfrac{1000}{\dfrac{1200 }{10}}$

$z = \dfrac{1000\times 10}{1200}$

z = 8.333

degree of freedom = n - 1 = 100 - 1 = 99

level of significance ∝ = 0.05

P - value from the z score = 0.00003

Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis

Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000

5 0

3 years ago

Take your time! :) Not important, but I would like to know, I'm writing flashcards so I can remember when I start back in school

Sav [38]

Answer:

The LCM of two numbers is the least common multiple. You want to find the least possible number that is divisible by the two numbers. So, you can list the factors of the two numbers. If there are factors that are repeated, put the repeated factors to the side. With the remaining factors, multiply the factors by each other and the repeated factors.

For example, let's try to find the least common multiple between 10 and 15.

Factors of 10: 2 * 5

Factors of 15: 3 * 5

The repeated factor is 5.

2 and 3 are left over. 2 * 3 = 6. 6 * 5 = 30. So, that is the least common multiple.

The GCF of two numbers is the greatest common factor. You want to find the greatest factor that is included in both numbers. So, again, you can list the factors of the two numbers and find the greatest factor that is repeated between the two numbers.

For example, let's try to find the greatest common factor between 30 and 45.

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

Between the two numbers, shared factors are 1, 3, 5, and 15. So, the greatest common factor is 15.

Hope this helps!

5 0

4 years ago