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myrzilka [38]
3 years ago
15

If f(x) = x2 + 1 and g(x) = x -4, which value is equivalent to (fog)(10)?

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

37

Step-by-step explanation:

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Patty wants a triangle garden in her backyard for all of her vegetables. She
otez555 [7]

Answer:

Step-by-step explanation:

the hypothenuse is the largest side in the right triangle

we have 2 side, 7,8

in a right triangle, c^2= a^2+b^2

where c is the hypothenuse

c^2=49+64=113

c=sqrt113=aprox 10.6

so, the answer is no if it has to be exactly 10 ft the hypotenuse

5 0
2 years ago
Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan
MissTica
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x

460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100



answer is 7 months
6 0
3 years ago
Read 2 more answers
Two events, A and B, are independent of each other. P(A) = 1/6 and P(A and B) = 1/8 What is P(B) written as a decimal? Round to
Leona [35]
P(B) = 0.75.

For independent events, P(A and B) = P(A)*P(B).  This gives us

1/8 = 1/6(x)

Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
5 0
3 years ago
<
Alik [6]

Answer:

2cm of Rainfall

Step-by-step explanation:

When the no. of mosquitoes is the highest the slope of graph will be zero

so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.

m(x)= -x²+4x

differentiate

d(x)/d(m(x))= -2x+4

equate to zero

-2x+4=0

2x=4

x=2

answer: 2 cm of rain

6 0
2 years ago
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o
UNO [17]

The equation is given as

y = 12 sin (6t - \pi /2) + 2

<h3>The Amplitude </h3>

The Amplitude can be calculated as

amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12

<h3>The Vertical Shift</h3>

The vertical shift is the average difference between the maximum and minimum.

Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2

For b value

The Time Period will be twice the distance between max and min.

time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}

<h3>The Period</h3>

The period is calculated as

T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12

The equation is given as

y = 12 sin (6t - \pi /2) + 2

Learn more on time period and amplitude here;

brainly.com/question/15531840

8 0
2 years ago
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