Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to the cave entrance.

Answers

Answer 1

Answer:

Her new position is 37 feet below the cave entrance

Step-by-step explanation:

Let us solve the question

∵ The cave entrance is the zero position

∵ Anna is in 42 feet below the cave entrance

→ Below zero means negative

Anna is in -42 feet

∵ She descends 10 feet

Descend means negative

She is in -42 + -10 = -52 feet

∵ She ascends 15 feet

Ascend means positive

She is in -52 + 15 = -37 feet

→ -37 means she is in below the cave entrance by 37 feet

Her new position is 37 feet below the cave entrance


Related Questions

Complete the table of values to find the solutions of the equation -x + y = 6.

Answers

Answer:

Answer:

X l Y

-2 l 4

-1 l 5

0 l 6

1 l 7

2 l 8

Step-by-step explanation:

X l Y

-2 l - (-2) + y =6 => y = 6 - 2=> y = 4

-1 l - (-1) + y =6 => y = 6 - 1=> y = 5

0 l - (0) + y =6 => y = 6 + 0=> y = 6

1 l - (1) + y =6 => y = 6 +1 => y = 7

2 l - (2) + y =6 => y = 6 + 2=> y = 8

Note: - (-a) + b = a + b

- (a) + b = - a + b

Write the equation of the line:
(0,3); slope -2

Answers

Answer:

y=-2x+3

Step-by-step explanation:

the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b

Pls mark as brainliest thank u.

3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.

Answers

Answer:

If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.

If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:

(-3)^2-4*2*12

=9-96

=-87

Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.

he cost of manufacturing a particular videotape is ​C(x)9000​9x, where x is the number of tapes produced. The average cost per​ tape, denoted by ​, is found by dividing by x. Find .

Answers

Answer:

The average cost per​ tape is 10.

Step-by-step explanation:

The cost of manufacturing a particular videotape is :

C(x) = 9000+9x

Where

x is the number of tapes produced.

We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]

[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]

So, the average cost per​ tape is 10.

What is 837 divided by 27

Answers

Answer: 31

Step-by-step explanation: long division

837/27 equals 31, you can solve this by long division or using a calculator lol

What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete
your choice.
O A. The slope of the line is
(Type an integer or a simplified fraction.)
O B. The slope of the line is undefined.

Answers

[tex]\tt Step-by-step~explanation:[/tex]

Slope = rise/run

[tex]\tt Steps:[/tex]

Rise: The line travels 5 units vertically (up) from the first point to the second.

Run: The line goes 6 units horizontally (left) from the first point to the second.

Slope = rise/run; Slope = 5/6

[tex]\Large\boxed{\tt The~slope~of~the~line~is:~\frac{5}{6}~units }[/tex]

Answer:

Slope = rise/run

Step-by-step explanation:

The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain












At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?

Show your work in the box below.








Answer _____________ price per gram of gold

Answers

Answer:

THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL

Step-by-step explanation:

PLEASE HELP
ILL GIVE BRAINLIEST

Answers

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Question 1: A researcher wants to know about the average salary of all General Motors workers. The data can only be collected as whole US dollars. This data can be considered: * qualitative nominal qualitative ordinal quantitative discrete quantitative continuous Question 2: A researcher pla

Answers

Answer:

Quantitative Discrete

Step-by-step explanation:

The data about the average salary of all general motor workers cooled ONLY as WHOLE U. S DOLLARS

Firstly, data involving worker's salary are best expressed in figure, hence making such data numerical in nature. Numerical variables are quantitative data as it allows for numerical computation and analysis such as addition, subtraction, mean of the data values and so on.

Secondly, since these data has been strictly restricted to be expressed in whole numbers, this makes the range of the data collected finite and hence countable. This properties ensure that the quantitative data (average salary) is discrete in nature.

A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.

Answers

Answer:

If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.

The two rates would be 3:60 and 2:40 and so on 1:20

Step-by-step explanation:

Good luck! Hope this helps! <3

A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain

Answers

Solution (a) :-

Quantity of flour needed to make 20 pancakes =

[tex] = 1 \frac{2}{3} \: [/tex]

[tex] = \frac{3 \times 1 + 2}{3} [/tex]

[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]

Then , number of pancakes that can be made from 1 cup of floor :-

[tex]20 \div \frac{5}{3} [/tex]

[tex]20 \times \frac{3}{5} [/tex]

[tex] \frac{60}{5} [/tex]

[tex] = 12 \: pancakes[/tex] .

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

HELP ASAP IT'S AN EMERGENCY​

Answers

AAS you have two angles and a side

please I need a quick help ​

Answers

Answer:

x intercept (-2,0) y intercept (0,2)

Step-by-step explanation:

Answer:

I'm pretty sure these are the answers

x-intercept (-2,0)

y-intercept (0,2)

Explanation:

x-intercept: Is coordinates where the line hits the x-axis

y-intercept: Is coordinates where the line hits the y-axis

Please help!!
x^2-2x+1-9y^2

Answers

Answer:

[tex]\left(x-1+3y\right)\left(x-1-3y\right)[/tex]

Step-by-step explanation:

[tex]x^2-2x+1-9y^2\\\\factor(skip for time)\\\\\left(x-1\right)^2-9y^2\\\\[/tex]

A little algebra process later...

you got the answer

Hoped this helped ya

<3

Red

Answer:

(x-1-3y) x (x-1+3y)

Step-by-step explanation:

x^2-2x+1-9y^2

Using a^2 - 2ab + b^2 = (a-b)^2 (factor the expression) = (x-1)^2 - 9y^2

(x-1)^2 - 9y^2 = (x-1-3y) x (x-1+3y)  should be the answer :)

What is the absolute value of 5,234?

Answers

Answer:

Step-by-step explanation:

5.234

A common multiple is 180 true or false

Answers

Answer:

False

Step-by-step explanation:

1,032 divided by 10 to the 4th power​

Answers

Answer:

0.1032

Step-by-step explanation:

Answer:

25000

Step-by-step explanation:

10x10=100

100x10=1000

1000x10=10000

10000x10=100000

100000 divied by 4= 25000

How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10

Answers

the answer would be 10

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

According to the Fiji Diabetes Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017. A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes. Using a 5% significance level, perform a test of hypothesis to determine if the current percentage of Fijians aged 60 years or older who have diabetes is higher than that in 2017. Use the P-value method

Answers

Answer:

The point estimated is 0.260

Step-by-step explanation:

The computation is shown below:

Sample in which the people have diabetes = 52

Random sample = 200

Significance level = 5%

Based on this, the, estimation point is

= Sample in which the people have diabetes ÷ Random sample

= 52 ÷ 200

= 0.260

hence, the point estimated is 0.260

We simply applied the above formula

And, the same is to be considered

The Null Hypothesis is accepted because the value of z is 0.973 and this can be determined by performing the test of the Hypothesis.

Given :

Association, 23.1% of Fijians aged 60 years or older had diabetes in 2017.A recent random sample of 200 Fijians aged 60 years or older showed that 52 of them have diabetes.Use a 5% significance level.

Hypothesis are as follows:

Null hypothesis,  [tex]\rm H_0: p\leq 0.231[/tex]

Alternate hypothesis,  [tex]\rm H_a : p>0.231[/tex]

Now, performing the test of the hypothesis. The critical value z is given by:

[tex]z = \dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0(1-p_0)}{n}}}[/tex]    ----- (1)

Now, the value of [tex]\hat {p}[/tex] is given by:

[tex]\hat{p}=\dfrac{52}{200} = 0.26[/tex]

Now, put the values of known terms in equation (1).

[tex]z = \dfrac{0.26-0.231}{\sqrt{\dfrac{0.231\times 0.769}{200}}}[/tex]

[tex]z = \dfrac{0.029}{0.0298}[/tex]

z = 0.973

Therefore, the null hypothesis is accepted.

For more information, refer to the link given below:

https://brainly.com/question/19613147

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare

Answers

Answer:

elsa's interval width will be greater than that of frank

Step-by-step explanation:

first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.

now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.

from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.

Which statement about residual plots is not true?

A. If there is an obvious pattern, the model is probably reasonable.

B. The vertical axis shows residuals.

C. The x-axis appears in the middle of the graph.

D. The sum of the residuals is 0.

Answers

Answer:

Step-by-step explanation:

d

Answer:

A

Step-by-step explanation:

1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?

Answers

Answer:

We reject H₀, we find that the  current level of mercury uptake in the Everglades has decrease

Step-by-step explanation:

We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)

Test Hypothesis:

Null hypothesis             H₀          μ   =  μ₀

Alternative hypothesis Hₐ          μ   <  μ₀

Sample size 25             then n < 30 we will use t-student table

Population mean : μ₀ = 15 ppm

sample mean :  μ  = 14,6 ppm

sample standard deviation:   s = 1 ppm

Sample size n :  25

degrees of freedom   df = n - 1         df = 24

We will develop the test for CI 90%  then  α = 10%      α = 0,1   α/2 = 0,05

For that values in t student table we find:

t(c) = 1,711    by symmetry t(c) = - 1,711

To compute ts

t(s) =  ( μ - μ₀ ) / s/√n

t(s) = 14,6 - 15 / 1 /√25

t(s) = - 0,4*5 / 1

t(s) = - 2

Comparing t(c)and t(s)

|t(s)| > |t(c) |      and t(s) < t(c)         -2 < -1,711

Therefore t(s) in in the rejection region, we reject H₀  

PLEASE HELP Please i don’t understand

Answers

Answer:

answer is 5

Step-by-step explanation:

f(5)= -5×5^2+26×5

= -125+130

= 5

what is 2 times 4 time 2

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Explanation:

2 x 4 = 8

8 x 2 = 16

Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?

To find the length of Bentley’s long run, you would use:

5 – 2.25

Question 1 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.

Need help got until 12:10

Answers

x = -1
I used combining like terms and properties as well as cancelling denominators. Ask me in the comments for any clarity!

if you subtract 19 from my number and multiply the difference by -2​, the result is -8

Answers

Answer:cool

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

let the number be 'a'

-2(a - 19)= -8

open the brackets

-2a + 38 = -8

collect like terms

38 + 8 = 2a

46 = 2a

a = 23

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Can someone please help me graph y = 2x - 7 please help me with the semicolon ... you dont have to do all of the questions I need help with this question. FINAL GIVE AWAY SINCE I GOT EXPERT SO FAST!! During a testing process, a worker in a factory mounts a bicycle wheel on a stationary stand and applies a tangential resistive force of 115 N to the tire's rim. The mass of the wheel is 1.80 kg and, for the purpose of this problem, assume that all of this mass is concentrated on the outside radius of the wheel. The diameter of the wheel is 50.0 cm. A chain passes over a sprocket that has a diameter of 8.50 cm. In order for the wheel to have an angular acceleration of 4.30 rad/s2, what force, in Newtons, must be applied to the chain I need help can anyone help me plz I will make brainliest for correct answers What is the next three terms for 7, 21, 63 x divided by 4 = -7 What is x? Show your work Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain I NEED HELP ASAP.A factory manufactures 7.1x10 bottles of ketchup per month. How many bottles are manufactured in a year? ) Last year's computer models cost $1,480. If they are on sale for 20% off, what is the discounted price? Which of the following is NOT evidence of plate tectonics?1. distribution of fossils2. location of earthquakes3. rain forest depletion4. the shape of the continents Drag the words to the sentences. garment aerospace electronic farming finance All nations in the region depend on natural resources to supply manufacturing and trade. Vietnam is known for its low-cost industry, which relies on low-cost labor. Malaysia produces semiconductors for goods. Indonesia has large rubber and lumber industries. Singapore, located on the Strait of Malacca, has one of the busiest ports in the world and is a center of I think the answers are 1:Farming 2: Electronic 3: Aerospace . Four friends plan to apply to an engineering college for their masters degrees. Identify which course is most likely to be accepted in an engineering college for admission to a masters degree program in robotics. Tanya has completed her bachelors degree in chemical engineering. In high school, she participated in several technical competitions. Nick graduated in mechanical engineering. Patricia completed an online certificate course in CADD. Matthew completed a certificate course in software testing. He wants to get into software quality in the robotics industry. help please! im not sure what the answer is Read this excerpt from Educate Yourself by Marcus Garvey.As stated before, books are one's best companions. Try to get them and keep them. A method of doing so is every time you have ten cents or twenty five cents or a dollar to spend foolishly[,] either on your friends or yourself[,] think how much more useful that ten or twenty five cents or dollar would be invested in a book and so invest it. It may be just the thing you have been looking for to give you a thought by which you may win the heart of the world. The ten cent, twenty five cent or a dollar, therefore, may turn out to be an investment of worth to the extent of a million dollars. Never lend anybody the book that you want. You will never get it back. Never allow anybody to go to your bookshelf in your absence because the very book that you may want most may be taken from the shelf and you may never be able to get one of the kind again.Which sentence paraphrases the central idea of this excerpt?A book may be worth a million dollars.Never lend anyone a valuable book.Books are a treasure to be valued.Keep books on a special bookshelf. The chemical formula for glucose, a type of sugar, is C 6H 12O 6. Which statement is true about glucose? CWhich of the following is true of new media art?a. involves using the environment to create a piece of artb. involves combining a photograph and computer imagesc. combines and uses new, different, and innovative mediumsd. none of the above Which of the following best describes the structure of a protein? aCarbon ring(s) bHydrocarbon(s) cSingle or double helix dGlobular or fibrous what creates linear and rotary motion