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Nat2105 [25]
3 years ago
15

Which number is equivalent to 6^2×6^3A. 150B. 623C. 327D. 252​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

150

Step-by-step explanation:

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If the building is a regular pentagon with each side measuring 23 √149, what’s the perimeter?
kvasek [131]

Answer:

Step-by-step explanation:

Regular pentagon has 5 equal sides

Perimeter = 5* (23√149)

                 = 115√149

                 

                 

7 0
3 years ago
Annual sales for a company are $125,000 and are increasing at a rate of 8% per year. Use an exponential function to find the ann
xxTIMURxx [149]

Answer:

sales after 5 years is $183666

Step-by-step explanation:

exponential function standard form:

a=P(1+r)^t

where p=principal(starting amount)(125,000)

r=rate of change(0.08)

t=time(5)

so

a=125,000(1+0.08)^5

a=125,000(1.08)^5

a=125,000(1.46)

a=183666

8 0
3 years ago
A bank offers a 3% annual interest rate for a savings account. Hannah puts $6,000 into an account to save for college. How much
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(103/100)×6000
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8 0
4 years ago
A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 o
sergejj [24]

Answer: 0.2224

Step-by-step explanation:

Given: The proportion of adults need eye correction: p= 78%=0.78

Let X  be a binomial variable that represents the number of adults who need eye correction.

Sample size of adults: n= 12

Binomial ditsribution formula:

P(X=x)=^nC_xp^x(1-p)^{n-x}

Now, the probability that at least 11 of them need correction for their eyesight will be

P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224

Hence, the required probability = 0.2224

7 0
3 years ago
Need help wit this- pic below
Ann [662]

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

  48 = x^2 -8x

Adding 16 completes the square:

  64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

  √64 = x -4

  x = 4 +8 = 12

The triangles are similar when x=12.

__

<em>Check</em>

We expect angle B to be 84° when x=12:

  (x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

3 0
3 years ago
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