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MissTica
2 years ago
14

Given the function f(x)=4^x+3

Mathematics
1 answer:
vitfil [10]2 years ago
4 0

Answer:

f(x)=4^x+3

Step-by-step explanation:

ok annnnnd

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1. Total selling price: $420,<br> Maine sales tax rate:<br> 5 percent.<br> Find the sales tax.
denpristay [2]

Answer: 21

Step-by-step explanation:

5%x420= 21

7 0
3 years ago
Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the s
Flauer [41]
You are told that sprinklers run for the same amount of time. lets refer to this time as T.
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3 0
3 years ago
M∠DEF = __because they are_________
vovikov84 [41]

Answer:

m∠GDE

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3 0
3 years ago
Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

6 0
3 years ago
In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of
Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

p = 0.95

and

q = 1 - 0.95 = 0.05

The standard deviation of the proportion is

=  \sqrt{ \frac{pq}{n} }

=  \sqrt{ \frac{0.95 \times 0.05}{750} }  \\  = 0.00796

We want to find the probability, that the sample proportion,

\hat p \leqslant  \frac{700}{750} \\    \hat p \leqslant  0.9 \bar3

P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\  = P(Z\le - 2.09) \\  = 0.0183

5 0
3 years ago
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