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3 years ago

9

Help please

1 answer:

love history [14]3 years ago

3 0

Answer:

Tallahassee's Range: 6

Key West's Range: 4

Step-by-step explanation:

To calculate range, you'd subtract the lowest value from the highest value

Tallahassee:

Highest Value: 90

Lowest Value: 84

Range: 90 - 84 = 6

Key West:

Highest Value: 87

Lowest Value: 83

Range: 87 - 83 = 4

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At the same time a 50 ft cell phone tower casts a 32 ft shadow, a near by light pole casts a 20 ft shadow. How tall is the light

White raven [17]

Answer: 31.25 ft

Step-by-step explanation:

50 / 32 = x / 20

32x = 50(20)

x = 31.25 ft

7 0

3 years ago

If the graph of function g is 6 units below the graph of function f, which could be function g? f(x) = -2x + 7 A. g(x) = -2x + 1

maw [93]

Answer:

A. $g(x)=-2x+1$

Step-by-step explanation:

Given:

$f(x)=-2x+7$

The function $f(x)$ is shifted 6 units below which forms the function $g(x)$

To find the function $g(x)$ , we apply the following translation rules:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function $f(x)$ shifts $c$ units up.

If $c$ the function $f(x)$ shifts $c$ units down.

Since the function $f(x)$ is shifting 6 units below, thus value of $c$ which is taken as -6.

The translation occurring here is given by:

$f(x)\rightarrow f(x)-6$

Thus,

$g(x)=f(x)-6$

Substituting $f(x)=-2x+7$

$g(x)=-2x+7-6$

∴ $g(x)=-2x+1$

4 0

4 years ago

Use the shell method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functions

Marina CMI [18]

Answer:

44.18 cubic unit

Step-by-step explanation:

The intersection of the curve $y = x^2$ and $y = 8-x^2$ is

$x^2 = 8 - x^2$

$2x^2 = 8$

$x^2 = 4$

$x = \pm 2$

Since we are rotating the region where $x \geq 0.5$ we will use the intersection x = 2 and y = 4

Using the shell method with x ranges from 0.5 to 2. The volume of the shell would be

$V = \int\limits^2_{0.5} {2\pi x h} \, dx$

where h is the difference between the y-coordinates of the curves, in other words

$h = 8 - x^2 - x^2 = 8 - 2x^2$

Plug h into the V integral and we have

$V = \int\limits^2_{0.5} {2\pi x (8 - 2x^2)} \, dx\\V = 4\pi\int\limits^2_{0.5} {(4x - x^3)} \, dx\\V = 4\pi[2x^2 - x^4/4]^2_{0.5}\\V = 4\pi(2*2^2 - 2^4/4 - 2*0.5^2 + 0.5^4/4)\\V = 4\pi(8 - 4 - 0.5 + 0.015625) \approx 44.18$

7 0

3 years ago

Simplify. Show work.<br> 3² x 5 + 4 =

hichkok12 [17]

Answer:

49

Step-by-step explanation:

$3^{2} *5+4$

= $9*5+4$ Simplify the exponents.

= $45+4$ Multiplication.

= 49 Addition.

4 0

2 years ago

Read 2 more answers

What does this mean? (Picture)

lianna [129]

9 times 43 is 387 split 9 and 43 and put It in the area model and then add them up

3 0

4 years ago