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3 years ago

8

A climber desends 3 miles into a canyon what integer represents the decent of her climb how far does she have to climb to return

to her starting point

1 answer:

Tanzania [10]3 years ago

6 0

Answer:

-3 for the integer and she has to climb 3 miles back up to her starting point.

Step-by-step explanation:

You might be interested in

Explain how to divide 3/4 ÷ 3/8 by using reciprocal of 3/8

sertanlavr [38]

The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).

When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.

3/4 ÷ 3/8

= 3/4 × 8/3

Simplifying gives us the final answer:

= 2

Let me know if you need any clarifications, thanks!

5 0

2 years ago

Please answer this question i really want answers :(

vekshin1

Based on the hints of distinguishing between <em>radical</em> and <em>non-radical</em> numbers, we have the following lists:

$\sqrt{3}$ , $2.\overline{2}$ , 2.5, $\sqrt{5}$
3.01, $3.\overline{01}$ , $3.\overline{1}$ , $\sqrt{9}$
$-4.\overline{1}$ , - 4.1, 4.01, $\sqrt{17}$
- 2.5, $-\sqrt{5}$ , $\sqrt{6}$ , 2.5

<h3>How to order numbers from least to greatest</h3>

In this question we must order sets of numbers in ascending order. A hint consists in comparing <em>non-radical</em> numbers with the <em>closest</em> <em>radical</em> numbers whose results are integers.

In consequence, we obtain the following orders:

$\sqrt{3}$ , $2.\overline{2}$ , 2.5, $\sqrt{5}$
3.01, $3.\overline{01}$ , $3.\overline{1}$ , $\sqrt{9}$
$-4.\overline{1}$ , - 4.1, 4.01, $\sqrt{17}$
- 2.5, $-\sqrt{5}$ , $\sqrt{6}$ , 2.5

To learn more on sets: brainly.com/question/18877138

#SPJ1

3 0

2 years ago

A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

Darnell rented a moving truck the weight of the empty truck was 7860 pounds when Darnell fill the truck with his items it weighe

Diano4ka-milaya [45]

A ton weighs 2000 pounds, so if you were to take 6 tons, it will be 12000 pounds.

4 0

2 years ago

Find the radius of convergence and the internval of convergence:

o-na [289]

You can use the root test here. The series will converge if

$L=\displaystyle\lim_{n\to\infty}\sqrt[n]{\frac{(4-x)^n}{4^n+9^n}}$

You have

$L=\displaystyle\lim_{n\to\infty}\sqrt[n]{\frac{(4-x)^n}{4^n+9^n}}=|4-x|\lim_{n\to\infty}\frac1{\sqrt[n]{4^n+9^n}}$

Notice that

$\dfrac1{\sqrt[n]{4^n+9^n}}=\dfrac1{\sqrt[n]{9^n}\sqrt[n]{1+\left(\frac49\right)^n}}=\dfrac1{9\sqrt[n]{1+\left(\frac49\right)^n}}$

so as $n\to\infty$ , you have $\left(\dfrac49\right)^n\to0$ , which means you end up with

$L=\dfrac{|4x-1|}9$

This is the interval of convergence. The radius of convergence can be determined by finding the half-length of the interval, or by solving the inequality in terms of $|x-c|$ so that $R$ is the ROC. You get

$|4x-1|$

5 0

3 years ago