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3 years ago

Mark the absolute maximum point of the graph

Mathematics

2 answers:

Oksanka [162]3 years ago

8 0

Answer:

-2, 6

Step-by-step explanation:

mixer [17]3 years ago

5 0

the maximum is point

6,-2

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Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0

2 years ago

If $25, 000 is invested into an account paying 4.5% per year, compounded quarterly, how much money can be withdrawn from the acc

pogonyaev

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

$A = P ( 1 + \frac{r}{n} )^n^t$

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = $25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6$

A = $25, 000(1 + 0. 75)^1^2$

A = $25, 000( 825. 00)$

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

Learn more about compound interest here:

brainly.com/question/2455673

#SPJ1

7 0

2 years ago

What type of relationship does this equation represent?

Klio2033 [76]

Answer:

Nonproportional

Step-by-step explanation:

hope it helps.

8 0

2 years ago

Read 2 more answers

A right rectangle prism has a length of 5 cm a width of 4 cm and a height of 3 cm the dimensions of the prism are doubled what i

IRISSAK [1]

Answer: 376 cm^2

Step-by-step explanation:

First you would double all the dimensions:

l = 5 cm x 2 = 10 cm

w = 4 cm x 2 = 8 cm

h = 3 cm x 2 = 6 cm

The formula for finding the surface area of a rectangular prism is A=2(wl+hl+hw)

Substitute the values:

A=2(8*10+6*10+6*8)

Solve using PEMDAS:

A=2(80+60+48)

A=2(188)

A=376

Surface area is always in units^2:

376 cm^2

5 0

3 years ago

A survey showed that 77% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 22 adults are

Sveta_85 [38]

Answer:

The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

Step-by-step explanation:

A survey showed that 77% of adults need correction for their eyesight.

If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.

n =22

p = 0.77

q = 1-p = 1- 0.77=0.23

We are supposed to find $P(x\leq 11)$

$P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)$

Formula : $P(x=r)=^nC_r p^r q^{n-r}$

$P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}$

Using calculator

$P(x\leq 11)=0.00512$

So, The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

3 0

3 years ago