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gregori [183]
2 years ago
6

If a rock climber climbs 60 feet in 4 minutes, what ratio represents the height the

Mathematics
1 answer:
Mariana [72]2 years ago
7 0

Answer:

D

Step-by-step explanation

60/60 = 1

4/60 = 0.066....

1 foot would take 0.067 minute which would be 1/15

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Which describes the behavior of the function f(x)= tan^-1(x)?
Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function tan(x) is defined as y=\frac{sin(x)}{cos(x)}. Since the denominator is cos(x) then we know that  cos(x)=0  when x=\frac{\pi}{2}

We also know that the division by 0 is not defined. Therefore, the limit of y=tan(x) when "x" tends to \frac{\pi}{2} is infinite.

The function tan^{-1}(x) is the inverse of tan(x)

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function f^{-1}(x). If f(3)=8, then f^{-1}(8)=3

This also happens for the function tan^{-1}(x)

If when x \to \frac{\pi}{2}, tan(x) \to \infty then when x \to \infty, tan^{-1}x \to \frac{\pi}{2}

Then, the answer is:

x \to \infty, f(x) \to \frac{\pi}{2}

7 0
3 years ago
Type the correct answer in the box use/ for the fraction bar
Zarrin [17]

Answer:

see explanation

Step-by-step explanation:

given the 2 equations

y = x² - 2x - 19 → (1)

y + 4x = 5 → (2)

substitute y = x² - 2x - 19 into (2)

x² - 2x - 19 + 4x = 5 ( subtract 5 from both sides )

x² + 2x - 24 = 0 ← in standard form

(x + 6)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 4 = 0 ⇒ x = 4

substitute each value of x into (1) for corresponding y- coordinate

x = - 6 : y = (- 6)² - 2(- 6) - 19 = 36 + 12 - 19 = 29 ⇒ (- 6, 29)

x = 4 : y = 4² - 2(4) - 19 = 16 - 8 - 19 = - 11 ⇒ (4, - 11)

the solutions are (- 6, 29), (4, - 11)


6 0
2 years ago
When a number is doubled and 5 is subtaracted from the result,the answer is 37.what is the number?
Dvinal [7]
The number would be 21 because if you add 5+37 then divide by 2.Younwill get the answer
6 0
2 years ago
000 000
olga55 [171]

Answer:

9+10 =19

Step-by-step explanation:is that wat u wanted

4 0
2 years ago
Read 2 more answers
Find the surface area of the shape below.
Korvikt [17]

Answer:

A=384 cm^{2}

Step-by-step explanation:

A =2(wl+hl+hw)

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

A=2(64+64+64)

A=2(192)

A=384

8 0
2 years ago
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