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Tpy6a [65]
3 years ago
13

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Mkey [24]3 years ago
8 0

For this case we have that, by definition of power properties, the division of powers of the same base is given by:

\frac {a ^ m} {a ^ n} = a ^ {m-n}

So, if we have:

\frac {2 ^ {14}} {2 ^ 7}, the quotient is given by:

2 ^{14-7} = 2 ^ 7

Answer:

\frac {2 ^ {14}} {2 ^ 7} = 2 ^ 7

Option B


Drupady [299]3 years ago
7 0
The answer is b 2^7 bcuz when you divide fractions with the same number you subtract the exponents
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Consider the function c(x)=(x+3) (x-5)2 what are the zeros of c(x)
vekshin1

Answer:

The zeroes would be -3 and a double root at 5.

Step-by-step explanation:

We can find this by first expanding the function.

c(x) = (x + 3)(x - 5)^2

c(x) = (x + 3)(x - 5)(x - 5)

Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.

x + 3 = 0

x = -3

x - 5 = 0

x = 5

x - 5 = 0

x = 5

8 0
2 years ago
HELP ME PLEASE!!
LUCKY_DIMON [66]

Using a system of equation, we have that:

a)

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

b)

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

c)

The cost of one on-site repair service is of $90.

Item a:

The variables are:

  • x, which is the cost of on-site service.
  • y, which is the cost of at-store service.
  • z, which is the cost of by-mail service.

Item b:

On-site service costs <u>3 times as much as at-store service</u>, thus:

x = 3y

By mail service costs <u>$10 less than at-store</u>  service, thus:

z = y - 10

Last week, the shop completed <u>15 services on-site, 40 services at-store, and 5 services by mail for total sales of $3100</u>, thus:

15x + 40y + 5z = 3100

The system is:

x = 3y

z = y - 10

15x + 40y + 5z = 3100

Item c:

  • The cost of one on-site repair service is x.
  • First, replacing the first two equations into the third, we find y, and then with it we find x.

15x + 40y + 5z = 3100

15(4y) + 40y + 5(y - 10) = 3100

60y + 40y + 5y = 3150

105y = 3150

y = \frac{3150}{105}

y = 30

Then

x = 3y = 3(30) = 90

The cost of one on-site repair service is of $90.

A similar problem is given at brainly.com/question/24823220

3 0
2 years ago
5 % of 170 is what number?​
Darina [25.2K]

Answer: 3400

Step-by-step explanation:

We have, 5% × x = 170

or,  

5

100

× x = 170

Multiplying both sides by 100 and dividing both sides by 5,

we have x = 170 ×  

100

5

x = 3400

If you are using a calculator, simply enter 170×100÷5, which will give you the answer.

4 0
2 years ago
Read 2 more answers
A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows
jeka94

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : \small y = 129.122 \times (0.9742)^x

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

4 0
2 years ago
Solve 25^2x+1 = 144
Sergeu [11.5K]

Answer:

X = 0.272

Step-by-step explanation:

Firstly, use a common log on the 25 to undo it. Secondly, use the log25(144) on the other side to get ~ 0.54. Move the 1 over with subtraction and then divide out the 2. This will leave you with X= 0.272

4 0
3 years ago
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