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harkovskaia [24]
3 years ago
15

What is f(1/3 F(1/3)=-3x+7

Mathematics
1 answer:
yan [13]3 years ago
6 0

Answer:

6

Step-by-step explanation:

-3(1/3)+7

6...this is it

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The naturalist views an elephant in the distance, but he doesn’t know how far away the elephant is from him. He takes a view to
andrezito [222]

Answer:

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

1. Naturalist takes a view to find the a 22 degree angle of elevation, then

\tan 22^{\circ}=\dfrac{H}{x}.

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

\tan 11^{\circ}=\dfrac{H}{x+27}.

3. Solve the system of two equations:

\left\{\begin{array}{l}\tan 22^{\circ}=\dfrac{H}{x}\\\tan 11^{\circ}=\dfrac{H}{x+27}\end{array}\right.\Rightarrow \dfrac{x+27}{x}=\dfrac{\tan 22^{\circ}}{\tan 11^{\circ}}\approx 2.0785,\\ \\ \\x+27=2.0785x,\\ \\1.0785x=27,\\ \\x\approx 25.0347\ ft.

Then

H=x\cdot \tan 22^{\circ}\approx 10.11\ ft.

3 0
3 years ago
The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front offic
REY [17]

The library is in the 4th quadrant (+x,-y)

So the English class must have a positive x and a negative y

(4,-5) is the only point that fits

6 0
3 years ago
Read 2 more answers
66 oz = __lb in a mixed number
aivan3 [116]

Answer:

4\frac{1}{8} pounds

Step-by-step explanation:

1 pound = 16 ounces

\frac{66}{16} =\frac{y}{1}

16 × y = 66 × 1

16y = 66

16y ÷ 16 = 66 ÷ 16

y=4\frac{1}{8}

7 0
3 years ago
Read 2 more answers
IF CORRECT, I WILL MARK AS BRAINLIEST
Rainbow [258]

a)

P(t) = 19100. e^{0.06t}

b) P(8) =30866

Use formula:

P(t) = P. e^{rt}

a)

Here, P = 19100

r = 6% = 0.06

P(t) = 19100. e^{0.06t}

b) t = 2008 - 2000 = 8

P(8) = 19100. e^{0.06\times 8}

P(8) = 19100. e^{0.48}

P(8) = 19100\times 1.616\\\\P(8) = 30,865.6\\\\P(8) \approx 30,866

8 0
3 years ago
Solve for x. I NEED HELP ASAP!
galina1969 [7]

Answer:

x = 105

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 102 + 165 + 123 + x + 11 + 128 + 161 = 900, that is

2x + 690 = 900  ( subtract 690 from both sides )

2x = 210 ( divide both sides by 2 )

x = 105

6 0
3 years ago
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