The height of the cone can be written as h = 3V/(π × r²).
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The formula for the volume of cone is given as V = 1/3 × π × r² × h.
It can be written in terms of h by the method of solving a linear equation as follows,
V = 1/3 × π × r² × h
=> 3V = π × r² × h
=> h = 3V/(π × r²)
Hence, the expression for height from the given formula can be written as h = 3V/(π × r²).
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Samantha is saving to buy a new car. She already has $2500 in the bank.
She is saving $400 per month. What is the minimum number of months
that she will need to save to buy a car that costs $7000.
Your answer
Answer:
11.25 months
Step-by-step explanation:
7000-2500
=4500
4500/400
=11.25
plz mark me as brainliest.
Tiys earns $7 an hour owing her neighbors lawn.
Part A: create two variables and determine which is dependent and which is independent for this situation.
Part B list three order pairs to show the values of the two variables.
Part C write and equation to represent the relationship between the two variables.
Answer:
Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.
Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.
Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.
please help i suck at math lol; what is the slope of the line that passes through the points (-12,-4) and (-16,4)
Answer:
the slope = -2
Answer:
-2
Step-by-step explanation:
Find the sum of
1. (2x2 − x) + (x2 + 3x − 1)
2. 5x2+2x−1+(4x2−x+2)
3. (3x2+2x+1)+(x2−1)
4. −x2−1 +(4x2−x)
Answer:
Step-by-step explanation:
(2x^2-x)+(x^2+3x-1)
2x^2-x+x^2+3x-1
x^2+3x-1
5x^2+2x-1+(4x^2-x+2)
5x^2+2x-1+4x^2+x-2
9x^2+6x-3
(3x^2+2x+1)+(x^2-1)
3x^2+2x+1+x^2-1
4x^2+2x
-x^2-1+(4x^2-x)
-x^2-1+4x^2-x
3x^2-1-x
please help im reallyyyy desperate
NO LINKS OR FILES
Answer:
(2, -3), (3, -3)
Step-by-step explanation:
y = x^2 - 5x + 3
y = -3
x^2 - 5x + 3 = -3
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x = 2
We are given y = -3.
Answer: (2, -3), (3, -3)
Answer:
(2, -3) , (3, -3)
Step-by-step explanation:
One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,
[tex]f(x)=x^2-5x+3[/tex]
Set this equation up, and solve to find the value of (x) that satisfies this requirement:
[tex]f(x)=x^2-5x+3=-3[/tex]
Inverse operations,
[tex]x^2-5x+6=0[/tex]
Factor, rewrite the quadratic equation as the product of two linear equations,
[tex](x-2)(x-3)=0[/tex]
Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.
(2, -3), (3, -3)
will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
help
In the Line Plot above, what number is the outlier in the data points?
Assessment started: undefined.
Item 1
Which measurement is equivalent to 1 liter?
100 milliliters
1,000 milliliters
10,000 milliliters
100,000 milliliters
What is the volume of the right rectangular prism?
O A. 20 cubic centimeters
O B. 60 cubic centimeters
O C. 128 cubic centimeters
O D. 168 cubic centimeters
O E. 240 cubic centimeters
Answer:
please the answer is 240 cubic centimeters
11x + 2 = 2x -7
Please explain how you did the work and how you got your answer
I need help with this ASAP!!
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
Find the mean absolute deviation for the following data:
6, 7, 10, 12, 13, 4, 8, 12
(A) 5.50
(B) 4.50
(C) 3.75
(D) 2.75
find the inverse of f(x)= 2x/(5x+6)
Answer:
[tex]f(x) = \frac{2x}{5y+6}[/tex]
Step-by-step explanation:
Answer:
Below!
Step-by-step explanation:
f(x) = 2x/5x+6
Sub y for f(x) : y = 2x/5x+6
Swap x and y : x = 2y/5y+6
Multiply both sides by 5y+6 : 2y = (5y + 6) x
Distribute x : 2y = 5xy + 6x
Change sign : 2y - 5xy = 6x
Factor out y : (2-5x)y = 6x
Divide both sides by 2-5x : y = 6x/2-5x
Substitute for y : f^-1(x) = 6x/2-5x
Answer: f^-1(x) = 6x/2-5x
That's the best I could do with my current math knowledge, I hope it makes sense :)
There are 36 pencils in a pack that costs $12.82. How much does each pencil cost?
Answer: each pencil would cost 0.36¢
Step-by-step explanation: first, divide 12.82 by 36 to get the unit rate. The answer should be 0.356111111. Now round that to the nearest cent. 0.356111111~0.36
Answer:
Each pencil is worth 36 cents
Step-by-step explanation:
To do the problem we have to find the unit price which is [tex]Total Price/Total Units[/tex]
Once you have that round the answer then the answer is 0.36
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
Use the number line to identify the correct least value, first quartile, median, third quartile, and greatest value of the data.
4, 12, 9, 10, 8, 6, 5, 15, 5, 8
The least value, first quartile, median, third quartile, and greatest value of the data are 4, 5, 8, 9.75 and 15 respectively.
What is the least value, first quartile, median, third quartile, and greatest value of the data?The first step is to arrange the number in ascending order: 4, 5, 5, 6, 8, 8, 9, 10, 12, 15
Least value = 4 Greatest value = 15The median is the number in the center of the data set. The number is 8.
First quartile = 1/4 x (n + 1) = 2.75 number : 5
Third quartile = 3/4 x (n + 1) = 8.75 = 9.75
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How many milliliters are equal to 7 liters?
Answer:
7000
Step-by-step explanation:
I need help with this please
Answer: Step-by-step explanation:
11.39°
12.∠DOC=180-63-39=78
13.∠EOA=180-39=141
14.mAB=m∠AOB=39
15.mDC=m∠DOC=180-63-39=78
16.mAE=m∠EOA=180-39=141
17.mAED=m∠AOD=180
18.mBED=m∠EOD+m∠AOD=180+39=219
19.mEDA=m∠BOE+m∠AOD=180+39=219
Which is a number that can be written as a fraction in the form a/b?
Answer:
Step-by-step explanation:
Rational numbers are the type of numbers that can be written in fraction forms (1/b where a and b are integers and b ≠ 0). Rational numbers also include decimals that are repetitive (0.313131313131) and decimals that end (0.25).
The opposite are irrational numbers that cannot be written in fraction forms and that include decimals that do not end or repeat (0.249654296432926....).
It is good to know a fraction with denomination equal to zero will give an undefined value.
Just need a lil help kind of stucc .
Answer:
Scale Factor
Step-by-step explanation:
Sorry if im wrong. I just kinda tried :p
The box plot shows the algebra scores of students in class A and class B.
The median score of class A is _____.
The interquartile range of class B is ____.
The difference of the medians of class A and class B is
the interquartile range of either data set.
Answer:
[tex]Mid(A) = 73[/tex]
[tex]IQR(B) = 8[/tex]
The difference of the medians of class A and class B is between the interquartile range of either data set.
Step-by-step explanation:
Given
The attached box plots
To answer this, see attached image for how to read a box plot
With reference to the attached image of how to read the box plot;
Solving (a): The median of class A
[tex]Mid(A) = 73[/tex]
Solving (b): IQR of class B
IQR is calculated as:
[tex]IQR =Q_3 - Q_1[/tex]
From the box plot of class B, we have:
[tex]Q_3 = 87[/tex]
[tex]Q_1 = 79[/tex]
So, we have:
[tex]IQR(B) = 87 - 79[/tex]
[tex]IQR(B) = 8[/tex]
Solving (c):
[tex]Mid(A) = 73[/tex]
[tex]Mid(B) = 82[/tex]
[tex]IQR(B) = 8[/tex]
IQR of class A is calculated as:
[tex]IQR =Q_3 - Q_1[/tex]
From the box plot of class A, we have:
[tex]Q_3 = 76[/tex]
[tex]Q_1 = 68[/tex]
So, we have:
[tex]IQR(A) = 78 - 68[/tex]
[tex]IQR(A) = 10[/tex]
The difference (d) between the medians is:
[tex]d =Mid(B) - Mid(A)[/tex]
[tex]d = 82 - 73[/tex]
[tex]d = 9[/tex]
From [tex]smallest[/tex] to [tex]largest[/tex], we have: 8, 9, 10
i.e. IQR(B), d, IQR(A)
Answer:
73
8
about half.
Step-by-step explanation:
Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
A. 1=1
B. 0=0
C. 4= 4
D. 2 = 2
Answer:
D. 2 = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x³ + 3x² = x + 3
x = -1
Step 2: Check
Substitute in x: (-1)³ + 3(-1)² = -1 + 3Evaluate exponents: -1 + 3(1) = -1 + 3Multiply: -1 + 3 = -1 + 3Add: 2 = 2Round 75 to the nearest hundredth
Answer:
Hundredth? Hundredth is for decimals. If you meant to the nearest Hundred, then it's 100.
Step-by-step explanation:
If you actually meant hundredths though, then it would be 75, because 75 doesn't have any decimals
answer or ill die from death
Answer:
y>-4
Step-by-step explanation:
Divide both sides by 2 and you get y>-4, which is B.
Answer:
y>−4 is the answer for y (djidjdejksekekek) [only for 20 characters sorry]
write the equation , in slope- intercept form, for the line shown in the graph below
Answer:
y= -1x+ 3
Step-by-step explanation:
y= Mx+ C
m= gradient or slope
m= y2-y1/ x2-x1
=5-(-2)/-2-5
=7/-7
=-1
C= intercept on the y-axis
=3
therefore y= -1x + 3
The ramp on the back of a moving van is 7 ft high and rises at an angle of 28°. How long is the ramp? Round to the nearest foot.
Answer:
6 feets
Step-by-step explanation:
Height of ramp = 7feets
θ = 28°
Length of ramp = x
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin 28 = 3 / x
0.4694715 = 3 / x
0.4694715x = 3
x = 3 / 0.4694715
x = 6.39 feets
The length of the ramp = 6 feets
Question: Find Angle S
SOMEONE PLEASE HELP WILL GIVE BRAINLEST!
Answer: 45
Step-by-step explanation:
S is 45 (labelled on the diagram)
Entry function to model the situation. Then find the value of the function after the given amount of time. Use T as your variable and round you're answer to the nearest sent. Fiona salary is $21000, and she excepts to receive a 3% raise each year; 8 years. The function is y= Her salary after 8 years is $=
Answer:
her salary after 8 years is $26,602
Step-by-step explanation:
Given that
Fiona salary is $21,000
She received 3% raise each year
We need to find her salary after 8 years
So, here we apply the future value formula
i.e.
= Present value × (1 + rate of interest)^number of years
= $21,000 × (1 + 0.03)^8
= $21,000 × 1.03^8
= $26,602
hence, her salary after 8 years is $26,602
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth
Answer:
Step-by-step explanation:
38 or 37.7 when not rounded
hope this helps
Write an equivalent fraction if needed. Add. Write each sum in simplest
form. 2 1/10 + 5 7/10 =
Answer:
7 4/5
Step-by-step explanation:
2 1/10 + 5 7/10 = 2 + 5 + 1/10 + 7/10 = 7 8/10 = 7 4/5