Using the linear function y = -5/3x + 3000, the boulder will touch the ground at 1800m
Linear FunctionA 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 = 3000The 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
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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
Answer:
I think its c
!
Step-by-step explanation:
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
Answer: $49.85
No explanation needed
Find mDE. Round your answer to the nearest hundredth.
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
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Rachel buys a bag of apples for $3.21. She pays for the bag with a $20 bill. How much change should Rachel receive?
Answer:
$16.79
Step-by-step explanation:
20 - 3.21 = 16.79
Can someone help me on this plzzzz
Answer:
Im not sure which grade you are in, but im gonna say 12? Im pretty sure
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
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°
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.
Answer: yes because all the math adds up to 22.75 and he has 70
Step-by-step explanation:
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
Answer:
The correct answer is 19.1 feet
Step-by-step explanation:
I took the test and got it right (see the attachment below)
10+15+6+15+5+15+7+13
Answer:
I think its 86
Step-by-step explanation:
I used a calculator.
These two polygons are similar.
4
2
9
16
15
w
w = [? ]
45 points asap for anyone who can answer
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.
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.
I need help on this test. Will give Brainliest to whoever answers first!
Answer:
C and G.
Step-by-step explanation:
hello help please i’ll give brainliest
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:
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)
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.
0.11 times 734 Answer please.
Answer:80.74
Step-by-step explanation: lol
Select all of the angles that are congruent to \angle 5.
Answer:
<5 = <8 b/c of vertical angles
<5 = <4 because of alternate interior angles
<5 = <1 because of corresponding angles
No links!
Factor 5/6 out of 5/6z+15
Answer:
5/6z+15
heart if it helped!
how do i find the surface area and volume of this shape?
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
32 divided 10 - 8 divided 2 - 3
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
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
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.
what equation is equal to y-34=x(x-12)
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
Help, I am unsure about what to do exactly
Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
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.
Help I’ll give Brainly est
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
How many tiles will be in figure 100? EZ COME UP ON POINTS
.
[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]
.
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Find the length of side X in simplest radical form with a rational denominator.
X
Answer:
given in the figure an isosceles right triangle
hence
x = √3
√3 is a surd it can't be simplified furtherNeed help on this, I have no idea what should go on the first line or the second line
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
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
Answer:
what are your options?
Step-by-step explanation:
Solve for x. Give explanation
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.
Dannon has $10.80 in dimes and quarters. If Dannon has 32 more quarters than dimes, how many dimes does he have?
Answer:
Dannon has 8 dimes.
Step-by-step explanation: