boulder is flung out of the top of a 3,000 m tall volcano. The bouIders height, y, in meters, is a function of the horizontal distance it travels, x, in meters. The slope of the line representing the volcano's hillside is -5/3 At what height above the ground will the boulder strike the hillside?

Answers

Answer 1

Using the linear function y = -5/3x + 3000, the boulder will touch the ground at 1800m

Linear Function

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

A model of a linear function is given as y = mx + c

where m is the slope or rate of change of the function and c is the constant value or y - intercept

In this function;

The slope is - 5/3 and the constant is 3000

m = -5/3c = 3000

The linear function can be written as

y = -5/3x + 3000

The height at which the boulder will strike the ground, the value of y = 0

0 = -5/3x + 3000

5/3x = 3000

x = 1800

The point is at 1800m

Learn more on linear function here;

https://brainly.com/question/15602982

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Related Questions

Find the length of side X in simplest radical form with a rational denominator.
X

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Answer:

given in the figure an isosceles right triangle

hence

x = √3

√3 is a surd it can't be simplified further

Help, I am unsure about what to do exactly

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You plug in number for number getting 194.8 which is equal to 2931

hello help please i’ll give brainliest

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Answer:

Erosion by groundwater.

Step-by-step explanation:

Sinkholes are formed when groundwater dissolves rocks underneath the land surface.

Answer:

Erosion of groundwater because the water goes through the rock and "weekends" them into collapsing. Almost like tripping if you will.

Step-by-step explanation:

0.11 times 734 Answer please.

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Answer:80.74

Step-by-step explanation: lol

No links!

Factor 5/6 out of 5/6z+15

Answers

Answer:

5/6z+15

heart if it helped!

32 divided 10 - 8 divided 2 - 3

Answers

Answer:

-3.8

Step-by-step explanation:

Answer:

-3.8 i think sorry this is the first one im not sure with.

Step-by-step explanation:

32/10=2.4

3-2=1

2.4-8=5.6

5.6/1=5.6

=-3.8

I need help on this test. Will give Brainliest to whoever answers first!

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Answer:

C and G.

Step-by-step explanation:

I just need to drag the degrees to their corresponding parts attached (Angles in Circles) please help I don’t which ones would be correct

Answers

9514 1404 393

Answer:

DF = 75°FBE = 105°FC = 60°CBE = 45°DAC = 225°ABE = 135°AFE = 225°ABF = 120°

Step-by-step explanation:

AC and DE are diameters, so divide the circle into equal portions that have a total angle measure of 180°.

  angle ABD = 180° -angle DBF - angle FBC = 180° -75° -60°

  angle ABD = 45°

angle CBE is a vertical angle to angle ABD, so has the same measure, 45°.

angle ABE is supplementary to angle CBE, so has measure 180° -45° = 135°. Long arc AE is 360° less this value, so is 360° -135° = 225°. Vertical angle DBC has the same measure as angle ABE, so long arc DAE will also be 225°.

angles FBC and CDE add to make angle FBE, so that angle is ...

  angle FBE = 60° +45° = 105°

Solve for x. Give explanation

Answers

Answer:

x =  47 degrees.

Step-by-step explanation:

The angles in a triangle add up to 180 degrees, therefore:

x + 43 + 90 = 180

x = 180 - 43 - 90

x = 180 - 133

= 47 degrees.

How many tiles will be in figure 100? EZ COME UP ON POINTS

Answers

Answer

.

[tex]f(100) = 498[/tex]

.

Explain

.

[tex]f(2) = 8[/tex]

[tex]f(3) = 13[/tex]

.

Find b

[tex]3b - 2b = 13 - 8[/tex]

[tex]b = 5[/tex]

.

Find f(1)

[tex]f(1) = f(2) - b[/tex]

[tex]f(1) = 8 - 5[/tex]

[tex]f(1) = 3[/tex]

.

Find f(100)

[tex]f (x)= f(1) + (x - 1)b[/tex]

[tex]f(100) = 3 + (100 - 1)5[/tex]

[tex]f(100) = 3 + (99)5[/tex]

[tex]f(100) = 3 + 495[/tex]

[tex]f(100) = 498[/tex]

.

#LearnWithBrainly

Find mDE. Round your answer to the nearest hundredth.

Answers

Answer:

[tex]50.04[/tex]

Step-by-step explanation:

Use this formula for arc length

[tex]2\pi \times r( \frac{x}{360} )[/tex]

where r is the radius and x is the arc measure.

We know Arc de is 8.73 so we are finding x.

R equal 10.

[tex]2\pi \times 10( \frac{x}{360} ) = 8.73[/tex]

[tex]20\pi( \frac{x}{360} ) = 8.73[/tex]

[tex]20\pi \times x = 3142.8[/tex]

[tex]x = \frac{3142.8}{20\pi} [/tex]

x=50.04

The value of the angle will be 50.04.

What will be the angle?

It is given in the question that

The arc of the circle A=8.73 In

The radius of the circle =10 In

Now from the formula of arc

[tex]A=2\pi r(\dfrac{\theta}{360} )[/tex]

[tex]8.73=2\pi 10\times \dfrac{\theta }{360}[/tex]

[tex]\theta = \dfrac{8.73\times 360 }{ 2\pi\times 10} =50.04[/tex]

[tex]\theta=50.04[/tex]

Thus the value of the angle will  be 50.04

To know more about the arc of the circle follow

https://brainly.com/question/25305793

Dannon has $10.80 in dimes and quarters. If Dannon has 32 more quarters than dimes, how many dimes does he have?

Answers

Answer:

Dannon has 8 dimes.

Step-by-step explanation:

8 dimes. by solving the system of equations

10d + 25q = 1080

q = d + 32

we find

d = 8 dimes

q = 40 quarters

Which of the following systems of equations creates the graph of (-3.4, 2.3)?

Option 1 : y= 2x+4
y= -1/3x-8
Option 2 : y= 1/2x-8
y= -3x-8/3
Option 3 : y= 1/2x+4
y= -3x-8
Option 4 : y= 2x-8
y= -1/3x-8/3

I need an answer ASAP, I will mark u brainliest if the answer is valid! thx

Answers

Answer:

C

Explanation:

The answer is C because when you plug in (-3.4) as x in that equation, you get 2.3 as an answer which means that option is correct.

[tex]y = \frac{1}{2} x + 4[/tex]

[tex] = \frac{1}{2} ( - 3.4) + 4[/tex]

[tex] = 2.3[/tex]

When you plug in x for other options, you do not get the correct value for y so this is the only answer.

Michael is buying new tile for his bathroom. The bathroom is 6 feet wide and 7 feet long. It costs $1.75 per square foot of material for the bathroom. If Michael goes to the store with $70, will he have enough money to buy the material. Why or why not.

Answers

Answer: yes because  all the math adds up to 22.75 and he has 70

Step-by-step explanation:

Select all of the angles that are congruent to \angle 5.

Answers

Answer:

<5 = <8 b/c of vertical angles

<5 = <4 because of alternate interior angles

<5 = <1 because of corresponding angles

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square, like the drawing above.
How many more inches of silver wire did the artist use compared to copper wire? (remember that = 3.14)

Answers

Answer:

1.4 inches

Step-by-step explanation:

if I'm wrong please tell me right away I would like to help you good day.

Need help on this, I have no idea what should go on the first line or the second line​

Answers

Answer:

1.) 120

2.)120

Step-by-step explanation:

1.) Do length times width

2.) For the number 120 you don't have to round, so it just stays the same

Help I’ll give Brainly est

Answers

Answer:

60 square centimeters

Step-by-step explanation:

8*15/2 = 60

Answer:

Ugh A bad B but C and D seem correct to fit in into your own a jar of yellow

Todd plans to run at least 5 miles each week for his health. has a circular route in the neighborhood to run. Once around that route is 420 yards. If runs that route 30 times during the​ week, will he cover at least 5 ​miles? Explain.

Answers

Answer: Yes

Step-by-step explanation:

Given

Once around park measures 420 yards

Todd needs to complete 5 miles

He runs 30 times during the week

We know, [tex]1\ mile=1760\ yards[/tex]

for 30 rounds, distance is

[tex]\Rightarrow 30\times 420=12,600\ \text{yards}[/tex]

In miles, it is

[tex]\Rightarrow 12,600\equiv \dfrac{12,600}{1760}\\\Rightarrow 7.159\approx 7.16\ \text{miles}[/tex]

As he runs more than the target. Therefore, he completed his target of 5 miles.

Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether

Answers

Answer: $49.85

No explanation needed

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

17.9 feet
18.2 feet
18.7 feet
19.1 feet

Answers

The answer is 18.2 feet that is the right answer

Answer:

The correct answer is  19.1 feet

Step-by-step explanation:

I took the test and got it right (see the attachment below)

WILL GIVE BRAINLIEST!!!!
Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? *

A) 400 students
B) 300 students
C) 185 students
D) 455 students

Answers

It’s “A” 60% of 400 students

Answer:

I think its c

!

Step-by-step explanation:

how do i find the surface area and volume of this shape?

Answers

Answer:

3,761.46 m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

π = 3.14

radius, r = diameter/2

= 25/2 = 12.5 m

Height, h = 23m

Volume of a cone = 1/3πr²h

= 1/3 * 3.14 * 12.5² * 23

= 1/3 * 3.14 * 156.25 * 23

= 11,284.375 / 3

= 3761.4583333333

Approximately,

Volume of the cone = 3,761.46 m³

Can someone help me on this plzzzz

Answers

Answer:

Im not sure which grade you are in, but im gonna say 12? Im pretty sure

Step-by-step explanation:


These two polygons are similar.
4
2
9
16
15
w
w = [? ]


45 points asap for anyone who can answer

Answers

6/2=3
The scale factor is 3
3x3=9
w=9

what equation is equal to y-34=x(x-12)

Answers

Answer: I don’t know how to solve for x but I know how to solve y for y=x^2-12x+34

Step-by-step explanation: Hope this help :D

Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

No

Step-by-step explanation:

because the angles are not equal. If they were they would have the same numbers.

Rachel buys a bag of apples for $3.21. She pays for the bag with a $20 bill. How much change should Rachel receive?

Answers

Answer:

$16.79

Step-by-step explanation:

20 - 3.21 = 16.79

$17.79

Hope that helps :)

10+15+6+15+5+15+7+13

Answers

Answer:

I think its 86

Step-by-step explanation:

I used a calculator.

A class collects data on the number of movie tickets purchased and total cost of those tickets. The class plots the data on a scatter plot. Which statement best interprets their results

Answers

Answer:

what are your options?

Step-by-step explanation:

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