a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?

b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?

Answers

Answer 1

Answer:

A. 57m   B. 130m

Step-by-step explanation:

For problem A:

87m up a cliff - 30m up a cliff = 57m up a cliff

These are all positive values

For problem B:

100m above is talking about a positive value, making this a positive number

30m below is talking about a negative value, making this number -30

0 meters represents the surface

As you can see, this is forming a number line as of which

below the surface------------------------0m-------------------------above the surface

by substitution,

-30-----------------------------------------------0-------------------------------100

therefore, 100 - -30 = 130 meters


Related Questions

Helllllllpppppp pls help me

Answers

Answer:

there you go!! it's correct dont worry

Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05

Answers

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

I NEED HELP.
2X^2-8X= BUT FACTORISE!

Answers

Answer:

This is my answer

2x(x-4)

Step-by-step explanation:

2x(x-4)

[tex]\tt{} {2x}^{2} - 8x[/tex]

[tex]\tt{}2x \times (x - 4)[/tex]

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

Can Yall help with the question

Answers

Answer:

A. Transform Boundary

Step-by-step explanation:

Transform boundaries are places where plates slide sideways past each other

Divergent Boundaries occur  when two tectonic plates move away from each other

Convergent Boundaries are when both the plates collide into each other

Subduction boundaries are when one plate bends and slides underneath the other curving down into the mantle

Hope this helps dude

Answer: no learn it urseld caca haha

Step-by-step explanation:

Janie walks 1 mile to get to a running track.she then runs at a speed of 3.5 miles per hour.Which linear models represents the total distance she ran and walked, d, as a function of t, the time she runs,in hours?

Answers

Answer:

d = 3.5t + 1

Step-by-step explanation:

The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.

d = 3.5t + 1

the sum of 2 fractions 8/9. the difference 2/9. what are the 2 fractions?​

Answers

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

A coin is flipped and a die is rolled find the probability of getting a head on the coin and a 4 on the die​

Answers

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

What is probability?

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = [tex]\frac{1}{2}[/tex]

P(4) = [tex]\frac{1}{6}[/tex]

P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]

= [tex]\frac{1}{12}[/tex]

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Find out more information about Probability here

https://brainly.com/question/11234923

#SPJ2

-3z - z equivalent expression

Answers

-4z is equivalent. You’re moving further down the number line in the negative direction.

Use the GCF to factor:
25 + 40​

Answers

The answer would be the number 5

Romell receives five points for each correct answer on a

test and loses two point for each incorrect

answer.

a. Write an equation showing that Reggie received 30 points.

6x = 30

b. Write an equation showing that Reggie answered all 35 questions on the

test.

Answers

Answer:

5x - 2y = 30

x + y = 35

Step-by-step explanation:

Number of correct answers = x

Number of incorrect answers = y

Points won per correct answer = 5

Points lost per incorrect answer = 2

If Reggie received 30 points :

Required equation :

(points won per correct answer * number of correct answers) + (points lost per incorrect answer * number of incorrect answers)

5x + (-2y) = 30

5x - 2y = 30

Equation showing that Reggie answer all 35 questions :

Number of correct answers + number of incorrect answers = 35

x + y = 35

Alex bought a 6-pack of sports drink bottles that each had a volume of 350 ml.
a If Alex drank 3 of them, how many milliliters did she drink? Show your work.

Answers

Answer:

1,050ml

Step-by-step explanation:

6 x 350= 2,100

3 x 350= 1,050

2,100 - 1,050 = 1050ml

350 times 3= 1050 milliliters

What is the population in 2020 of a place that has a population of 4 million people in 2011 and is growing at a rate of 1.3%?

Answers

Answer:

370 million

Step-by-step explanation:

In the 10 years from 2000 to 2010, the population was multiplied by the factor ...

100% + 9.6% = 109.6% = 1.096

In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:

2030 population = (308 million)·(1.096²) ≈ 370 million

Need help to solve this

Answers

Answer:

332s+(27xm)

Step-by-step explanation:

because 27 is how much you save per month and you started off with 332

Which of the following functions has the same horizontal asymptote as the function graphed below?

Answers

Answer:

In most cases, there are two types of functions that have horizontal asymptotes. Functions in quotient form whose denominators are bigger than numerators when x is large positive or large negative.

Step-by-step explanation:

Figure B is a scaled copy of Figure A. Figure A Figure B​

Answers

Answer:

I believe 2.

Step-by-step explanation:

All the lengths can be multiplied by 2 to equal the lengths of the larger triangle.  However, I am not positive.

Answer:

2

Step-by-step explanation:

22x2=44

10x2=20

32x2=64

40x2=80

all of them match so yes they are equivalent

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Which letter has line symmetry?

Answers

Answer:

e. M

Step-by-step explanation:

Answer:

M has line symmetry

Step-by-step explanation:

hope this helps

Decide if the expression is positive or negative. Explain in words how you know, please.


11/-3 and -11/-3

Answers

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

What is the solution to this addition sentence?

3/4 + (-1/2) = _____

Answers

Answer:

1/4

Step-by-step explanation:

-1/2 in to -2/4

3/4+(-2/4)=1/4

The answer is 1/4th
I guess so

I need help what is 1+1 I've been on this for TWO hours...

Answers

Answer:

the answer is 2

Step-by-step explanation:

sorry if this is wrong

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

triangles are ? sided and ? angles figures​

Answers

3 sided and have 3 angles

PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!

Answers

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

ASAP!! Which graphs have same domain?
Graphs 1 and 2
Graphs 1 and 3
Graphs 2 and 3
Graphs 1, 2, and 3

Answers

Graph 1 and 3 have the same domain

Answer:

B

Step-by-step explanation:

WILL MARK BRAINLIEST! Solve for X on the provided picture. Thank you!

Answers

A. 90°

yeah yeah dababy car dababy

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

how can i do dis plss​

Answers

It’s the second one

The hypotenuse of a triangle measures 20.75 in., and one of the legs measures 17 in, what is the approximate length of the other leg of the triangle?

Answers

11.9 inches to 1 decimal place

What are the factors of 12z

Answers

The factors are 2,3,4,6,12

Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.

Answers

Answer:

The distances AB and BC are

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

52

and therefore isosceles.Step-by-step explanation:

Other Questions
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