Answer:
Let's solve your equation step-by-step.
p+8=14.1
Step 1: Subtract 8 from both sides.
p+8−8=14.1−8
p=6.1
Answer:p=6.1
Intro to slope-intercept form What is the y-intercept of the line represented by y = -6x – 11? Choose 1 answer: А (0, -6 B (0, -11) (-6,0) D (-11,0) Check About
pls help i suck at math
Answer:
d
Step-by-step explanation:
A cylinder has a volume of 48π cm3 and height h. Complete this table for volume of cylinders with the same radius but different heights.
height (cm) volume (cm3)
h 48π
2h ? answer in pi
5h ? answer in pi
h/2 ? answer in pi
h/5 ? answer in pi
Answer:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
Step-by-step explanation:
The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is defined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
From statement, we understand that volume of the cylinder is directly proportional to its height. That is:
[tex]V \propto h[/tex]
[tex]V = k\cdot h[/tex] (2)
Where [tex]k[/tex] is the proportionality constant, measured in square centimeters.
In addition, we eliminate this constant by constructing the following relationship:
[tex]\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}[/tex]
[tex]V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}[/tex] (3)
Based on (3) and knowing that [tex]V_{1} = 48\pi[/tex], we calculate the volumes for each height ratio:
(i) For [tex]2\cdot h[/tex], the volume is [tex]96\pi[/tex] cubic centimeters.
(ii) For [tex]5\cdot h[/tex], the volume is [tex]240\pi[/tex] cubic centimeters.
(iii) For [tex]\frac{h}{2}[/tex], the volume is [tex]24\pi[/tex] cubic centimeters.
(iv) For [tex]\frac{h}{5}[/tex], the volume is [tex]9.6\pi[/tex] cubic centimeters.
1. Determine which of the following ordered pairs
are solutions to each of the given systems of
inequalities.
[(5,3). (-2, 1), (1.2). (2. -3), (3, 5), (-2,3), (2, 0)]
a. y<-x+3
y>x-2
this from usatestprep
Answer:
either b or a
Step-by-step explanation:
Answer:
A I believe
Step-by-step explanation:
HELP! 6th grade work due today pleaseeeeee
Answer:
s = 5 feet
Step-by-step explanation:
.................
can someone please help me find the value of y
Answer:
4y=48
y=48/4
y=12
therefore,the value of y is 12
Which is closest to the quotient 4,367 divided bye 0.004?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000
Answer:
6.) 1,000,000
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
What is this answer
Answer:
t = ≥ 0.1
Step-by-step explanation:
Hope that helps!
A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
A. True
O
B. False
A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
What is Speed?Speed is the time rate at which an object is moving along a path,
Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
We have to check whether the statement is true or false.
To check, we can use the formula:
distance = rate x time
Substituting the given values, we get:
distance = 60 x 4.5 = 270 miles
Therefore, the statement is true.
Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
To learn more on Speed click:
https://brainly.com/question/28224010
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A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach
Answer:
20.1 feet
Step-by-step explanation:
We solve the above question using the Pythagoras Theorem
The Pythagoras Theorem =
Opposite² + Adjacent ² = Hypotenuse²
From the above question,
Opposite side = Height of the wall = x
Adjacent side = Distance from the base of the building = 9 feet
Hypotenuse = Length of the ladder = 22 feet
Hence:
x² + 9² = 22²
x² = 22² - 9²
x = √22² - 9²
x = √403
x = 20.0748599 feet
Approximately = 20.1 feet
Therefore, the height of the wall = 20.1 feet
The express elevator in the Empire State Building in New York City travels nonstop from
the ground floor to the top floor at a rate of 1,400 feet per minute.
The express elevator in the John Hancock Center in Chicago travels nonstop from the
ground floor to the observatory on the top floor at a rate represented by the equation
y = 30x, where y is the height, in feet, and is the number of seconds
Graph the two relationships on the grid below to compare the rates of the
two elevators,
ELEVATOR RATES
I
Height (feet)
1,000
900
800
700
600
500
400
300
200
100
0
10
40
50
20 30
Time (seconds)
Which elevator travels at a faster rate?
Using the information from the graph, explain how you got your answer.
The elevator of John Hancock Center in Chicago travels at a faster rate.
The standard equation of a line is y = m + bm is the slope or rate of changeb is the y-intercept.For the equation represented by the height of the elevator of John Hancock Center in Chicago given as y = 30x, the rate of change is 30 ft/s which is equivalent to 1800 per minute.
Since the express elevator in the Empire State Building in New York City travels nonstop from the ground floor to the top floor at a rate of 1,400 feet per minute, hence the elevator of John Hancock Center in Chicago travels at a faster rate.
Learn more on rate here: https://brainly.com/question/8728504
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answer:
$17600
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Please
Answer:
Step-by-step explanation:
Which set of ordered pairs is linear? A. {(2, 1), (5, 1), (6, 1)} B. {(–1, 4), (0, 0), (1, 6)} C. {(–3, 5), (1, 0), (2, 4)} D. {(0, 0), (1, 3), (2, 7)}
Answer:
merhaba ben yeni geledimde adın ne
Someone please help!
Answer:
12 and 21
Step-by-step explanation:
Find the slope of any line parallel to the lien through the given points (3,2),(3,1)
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify: m = undefined4 When a ball bounces, the heights of consecutive bounces form
a geometric sequence. The height of the first bounce is
121 centimeters and the height of the third bounce is
64 centimeters. To the nearest centimeter, what is the height of the
fifth bounce?
Answer:
34 cm
Step-by-step explanation:
The nth term of a geometric progression Tₙ = arⁿ⁻¹ where a = first term, and r = common ratio.
Given that our first term, T₁ = ar¹⁻¹ = a = 121 cm and our third term T₃ = ar³⁻¹ = ar² = 64 cm
Then, T₃/T₁ = ar²/a = r²
r² = T₃/T₁
r² = 64 cm/121 cm
r = √64/121
r = 8/11
So, the height of our fifth bounce T₅ = ar⁵⁻¹
= ar⁴
= 121 cm × (8/11)⁴
= 121 × 4096/14641
= 4096/121 cm
= 33.9 cm
≅ 34 cm to the nearest cm
Using a geometric sequence, it is found that the height of the fifth bounce is of 33.85 cm.
In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio r.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1r^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem:
The height of the first bounce is of 121 cm, hence [tex]a_1 = 121[/tex].The height of the third bounce is of 64 cm, hence [tex]a_3 = 64[/tex], and this is used to find r.[tex]a_n = a_1r^{n-1}[/tex]
[tex]64 = 121r^{2}[/tex]
[tex]r^2 = \sqrt{\frac{64}{121}}[/tex]
[tex]r = \frac{8}{11}[/tex]
Hence:
[tex]a_n = 121\left(\frac{8}{11}\right)^{n-1}[/tex]
The height of the fifth bounce is of [tex]a_5[/tex], hence:
[tex]a_5 = 121\left(\frac{8}{11}\right)^{4} = 33.85[/tex]
The height of the fifth bounce is of 33.85 cm.
You can learn more about geometric sequences at https://brainly.com/question/11847927
Tom created a mixed-media mural of a flag to celebrate the 4th of July. He spent $57 on paint and 4 times as much on fabric. How many money did he spend altogether?
Answer:
$285
Step-by-step explanation:
57 by 4 is 228 then add 57 to 228 which is 285
Help please! Thank youuuuuuuuu
Answer:
3 3/5 meters (B)
Step-by-step explanation:
Since this is perimeter, you must find the "outside".
The top side: 1/4 * 4 = 1
Left side: 1/5 * 4 = 4/5
Bottom: 1
Right side: 4/5
Add them up!
1 + 1 + 4/5 + 4/5
2 8/5
3 3/5
B!
0510006 please answer this
what is 8*29
Answer:
8*29=232
Step-by-step explanation:
if you take 8*20 you get 160
if you take 8*9 you get 72
Add them and you get 232
In a circle, an angle measuring pie over 2 radians intercepts an arc of length 1 pie. Find the
radius of the circle in simplest form.
Answer:
2 units
Step-by-step explanation:
We are given that
Angle ,[tex]\theta=\frac{\pi}{2}[/tex]radian
Length of an arc=[tex]\pi[/tex]
We have to find the radius of circle in simples form.
We know that
[tex]\theta=\frac{l}{r}[/tex]
Where l=Length of arc
r=Radius of circle
Using the formula
[tex]\frac{\pi}{2}=\frac{\pi}{r}[/tex]
[tex]r=\frac{2\times \pi}{\pi}[/tex]
[tex]r=2[/tex]units
Hence, the radius of the circle=2 units
6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.
Answer:
photomath, assistant in mathematics, will decompose everything and give the correct answer.
Please find the sum for 2/8 + 3/6 hurry please
Answer:
0.75
Step-by-step explanation:
hope this helps you
what is 1/6x + 3/4(1/2x - 4)?
Answer:
13x/24-3
Step-by-step explanation:
Answer:
hello! :) have a good day!
[tex]\frac{13x}{24\\} -3[/tex]
Help me it is an hw due soon please
Answer:
1st is 1/4 and 2nd is 1/10
8. Complete the following table. 5x-2y = 6
Answer:
x=2/5y+6/5
Step-by-step explanation
5x-2y=6
5x-2y+2y=6+2y
5x=2y+6
step 2
5x/5=2y+6/5
x=2/5y+6/5
True or False:
The relation shown is a function.
20 POINTS!!
Answer:
True
Step-by-step explanation:
For a relation to be a function each value of x must pair up with one and only one value of
The relation shown is a function.
Solve for x
Solve for x
Answer:
23.1
Step-by-step explanation:
14/20*x/33
Cross multiply
14*33=20*x
462=20*x
462/20=x
23.1=x
Hope this helps :)
Answer:
According to the ratio of segments:-
[tex]\frac{20}{14} =\frac{33}{x}[/tex][tex]20x=14(33)[/tex]
[tex]20x=462[/tex]
[tex]x=\frac{462}{20}[/tex][tex]=23.1[/tex]------------------------hope it helps...have a great day!!Place an X in the table to show the percent decrease from the first number to the second number 12% 15% 150 to 132 275 to 242 300 to 255
Answer:
hi
Step-by-step explanation:
hi