The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of the prism, and h is the height of the prism.
If the volume of a rectangular prism with a length and width of 3 inches is 81 cubic inches, what is the height of the rectangular prism?
A.
9 inches
B.
75 inches
C.
14 inches
D.
27 inches
Answer: It is A, or 9 inches
Step-by-step explanation:
1. We know that the length and width is 3, so that is 3 * 3, which is 9
2. Therefore, with the volume of 81, we would know that 9 * 9 is 81, so the height is 9 inches
PLEASE HELP T-T i can't do this
Answer:
Part A:
(0.20)(10) = (0.05)(x) + (0.40)(10 - x)
Part B:
5.7 litres of 5% and 4.3 litres of 40%
Step-by-step explanation:
Let's assume she will stick with 10 litres in total for her mixture. (Maybe that's the size of her container.)
Let the volume of 5% by x litres.
Therefore the volume of 40% will equal 10 - x.
Reason: 10 litres total, if we use 2 litres of the one, we'll use 8 litres of the other. Get it?
Moving along...
So:
(0.20)(10) = (0.05)(x) + (0.40)(10 - x)
Now we solve the equation...
2 = 0.05x + 4 - 0.4x
2 - 4 = - 0.35x
-2 = -0.35x
let's multiply both sides by 100 to get rid of the decimal
-200 = -35x
x = 200/35
x = 5.7 litres (volume of 5% solution needed)
volume of 40% = 10 - 5.7 = 4.3 litres
1.) What is the least positive integer divisible by the numbers 2, 3, 4 and 5? Show your work.
Find the measure of the segment indicated.
RM = 24
SP = 30
Find QM
I am being tested on this tomorrow but this doesn’t make sense to me
The volume of the given right circular cylinder is 256π cubic yards. If h, the height of the cylinder is 16 yards, what is r, the radius of the base?
8 yards is the radius of the base
3yards 5 feet 6 inches X 7=
Answer:
1,218 Inches
101.5 Feet
33.8333333 Yards
Step-by-step explanation:
since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one.
since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one. The statement is false.
What is the US Census?US Census is a typical comprehensive count of a population specifically: an annual population count conducted by the government.
Now,
According to the laws of the US, it is true that the law permits people to indicate multiple racial identities to the US Census, in order to complete the data and determine the population of the States.
Hence, it is false that: since the year 2000, the law no longer permits people to indicate multiple racial identities to the u.s. census but must select just one.
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Cancel down the following fractions: 9/72
ALGEBRA Michella Hong noticed that her gross pay per period increased by $2,800 when her employer changed from a bi-weekly pay plan to a monthly pay plan. What is Michelle's annual salary
Answer:
Her annual salary is $62,400
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
x = 2400
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
Her annual salary is $62,400
Use the GCF and the Distributive Property to rewrite the following expression: 24 + 27. Please I need help
Answer:
= 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
Step-by-step explanation:
A person is $1000 on the credit card that charges an interest rate of 2% per month complete the table showing the car to balance each month if you do not make any payments
Answer:
Month Total Bill
1 1000
2 1,020
3 1,040.40
4 1,061.21
5 1,082.43
6 1,104.08
7 1,126.16
8 1,148.69
Step-by-step explanation:
Use the formula for compound interest
[tex]A = P(1+r)^t[/tex]
where A is the balance, P is the principal (credit card balance), r is the effective rate and t is the number of time periods
Here r = 2% computed monthly which is 2/100 = 0.02 in decimal and t = 1, 2,3,4,5,6,7,8 months
So 1 + r = 1+0.02 = 1.02
We can compute the monthly balance for each subsequent month by multiplying the previous month's balance by 1.02
All figures rounded to the nearest cent
Answer
Month Total Bill
1 1000
2 1,000 x 1.02 = 1,020
3 1,020 x 1.02 = 1,040.40
4 1,040.40 x 1.02 = 1,061.21
5 1,061.21 x 1.02 = 1,082.43
6 1,082.43 x 1.02 = 1,104.08
7 1,104.08 x 1.02 = 1,126.16
8 1,126.16 x 1.02 = 1,148.69
Interpret the quote in the context of what you learned. (Finance)
"Life was a lot simpler when what we honored was father and mother rather than all major credit cards."
Answer: i knew this before but i forgot
Step-by-step explanation:
.
Find the perimeter of the triangle. Round your answer to the nearest
hundredth.
W
X
Y
units
Since, we have to find the sides of the given triangle we will make it a right angle triangle.
Construction: Extend XY to 1 unit and name it Z and join the point W with Z.
Now, the triangle YWZ is a right angle triangle where
YZ = 1 unit
WZ = 3 units
Then [tex]WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WY = \sqrt{(1)^{2}+ (3)^{2} }[/tex]
= [tex]WY = \sqrt{(10) }[/tex]
= [tex]WY = 3.16[/tex] units
Now, the triangle XWZ is also a right angle triangle where
XZ = 3 units
WZ = 3 units
Then [tex]WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }[/tex] [By Pythagoras Theorem]
= [tex]WX = \sqrt{(3)^{2}+ (3)^{2} }[/tex]
= [tex]WX = \sqrt{18[/tex]
= [tex]WX =4.23[/tex] units
Now, In triangle XYW
XY = 2 units
WY = 3.16 units
WX = 4.23 units
∴ The perimeter of the triangle XYW will be
XY + WY + WX
= 2 + 3.16 + 4.23
= 9.39 units
To the nearest hundred, 9.39 rounds to 9
⇒ The perimeter of the triangle XYW is 9 units.
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55,820 in scientific notation
Answer: 5.582 * 10^4
Step-by-step explanation:
55,820=
55,820/10,000 * 10,000=
5.5820 * 10,000 =
5.5820 * 10^4 = 5.582 * 10^4
Find the zero(s) of f(x) = -4x + 6
The zero(s) of function f(x) = -4x + 6 is [tex]x=\frac{3}{2}[/tex]
As per the question statement, We are given a function [tex]f(x) = -4x + 6[/tex] and we are supposed to find the zero(s) of the function.
We know that zero of a function is the value of the function at which the value of function becomes absolute zero.
For that we have to equate the function to zero first.
f(x) indicates the function with variable in "x"
For zero(s), of f(x)
Let f(x) = 0
[tex]f(x) = -4x+6=0\\4x=6\\x=\frac{6}{4} \\x=\frac{3}{2}[/tex]
Therefore value of x at which f(x) is zero is [tex]x=\frac{3}{2}[/tex]
Zero(s) of a polynomial: The zeroes of a function is the value of the variable at which the value of the function becomes zero.To learn more about zeros of a function, click on the link given below:
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I would like to know what is 1/3 + 3/4 + 1/2
- - - - - - - - - - - - - - - - - - - - - - - -
Work below. :)
- - - - - - - - - - - - - - - - - - - - - - - -
First, find a common denominator. You can do so by listing the denominators' factors and finding a common number. (For the sake of space I'll skip).
1/2 = 6/12
3/4 = 9/12
1/3 = 4/12
Now, simply add the top numbers (aka numerator) but keep the denominator the same.
6 + 9 + 4 = 19
19/12 is an improper fraction, so make it proper.
1 7/12
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck!
~pinetreee
3/8 divided by 9/10 is what
Answer:
5/12
Step-by-step explanation:
Answer:
5/12.
Step-by-step explanation:
3/8 / 9/10
= 3/8 * 10/9
= 1/8 * 10/3
= 1/4 * 5/3
= 5/12
Write 2,204,000,000 in scientific notation.
what is the scale factor of the two triangles
The scale factor of the the larger triangle to the smaller triangle is: 3.25.
How to Calculate a Scale Factor of a Dilation?When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.
Find the scale factor of the larger triangle to the smaller triangle:
One dimension of the larger triangle = 13
Corresponding dimension of the smaller triangle = 4
Scale factor of the dilation = 13/4
Scale factor of the dilation = 3.25
Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.
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Write the expression in radical form x 3/7
Answer:
[tex]x^{\frac{3}{7} } =\sqrt[7]{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]x \frac{3}{7} = \sqrt[7]{x^3}[/tex]
Step-by-step explanation:
That is your answer
A 2:15 scaled pattern for a mural is 10 feet long. How long will the mural be?
The length of the mural is 75 feet.
How to calculate the value?From the information, it was stated that a 2:15 scaled pattern for a mural is 10 feet long.
Therefore, the length of the mural will be:
= 10 ÷ 2/15
= 10 × 15/2
= 75
Therefore the length of the mural is 75 feet
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The likelihood of something occurring is measured in terms of probability, which is based on ______.
The possibility that something will occur, prior measures, and conventional objective measurements all influence the likelihood that something will occur.
What is probability and what types are there in total?
The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0. When an event has a probability of 1, it can be said to be a certainty. For instance, if the coin lands flat, the likelihood that it will come up "heads or tails" is 1. There are no other possible outcomes. A probability of .5 indicates that there is an equal chance that an event will occur or not.
Probability can be quantitatively represented in the simplest form as follows: the total number of possible outcomes multiplied by the ratio of the number of occurrences of a targeted event divided by the sum of the occurrences and failures of occurrences:
P(a) = P(a)/[P(a) + P(b)]
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evaluate 14c 3d\dfrac14c 3d41c 3dstart fraction, 1, divided by, 4, end fraction, c, plus, 3, d when c
According to the given statement :
(1/4)c + 3d= 45/2 when c = 6 & d = 7
In math, what is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as the denominator of a complex fraction.
How is a fraction made?Fractions can be used to represent decimals. Place your decimal number above its place value to convert it to a fraction. For instance, since the number six occupies the tenths place in the fraction 0.6, we must multiply it by 10 to get the comparable fraction, 6/10.
According to the given data:Evaluate (1/4)c + 3d
when c = 6 & d = 7
x = (1/4)c + 3d
putting c = 6
& d = 7
=> x = (1/4) * 6 + 3*7
=> x = 3/2 + 21
=> x = (3 + 42)/2
=> x = 45/2
=> x = 22.5
=> (1/4)c + 3d= 22.5 when c = 6 & d = 7
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a) The quadratic x² - 4x-21 can be written in the form (x + a)² + b
Find the values of a and b.
quadratic formula
if i simplified 6/33 what would my answer be
Answer:
Exact form 2/11
Decimal form 0.18
Write a conjecture that describes the pattern in the sequence. Then use your conjecture to find the next item in the sequence. 0,2,4,6,8
The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
How to write a conjecture that describes the pattern in the sequence?The sequence is given as:
0, 2, 4, 6, 8
In the above sequence, we can see that each current term is 2 added to the previous term
i.e.
Tn = 2 + Tn-1
Using the above conjecture, we have
Next term = 8 + 2
Evaluate
Next term = 10
Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10
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what is the value of the quantity 46-6squared ÷ 4
Answer:
400
Step-by-step explanation:
To jump at a local trampoline park, each attendee is charged $14.75 per hour. In addition, each attendee must spend $3.50 to purchase a pair of jumping socks. The trampoline park also offers food specials. Currently, attendees can purchase a super pizza deal, which includes a large pizza and a pitcher of soda, for only $15.50 . Five friends decide to visit the trampoline park. Each friend will buy a pair of socks and jump for two hours. The friends will also buy one super pizza deal to share.
Answer:
Step-by-step explanation:
(14.75x10)+(3.5x5)+15.50= 180.5
14.75= trampoline per hour
10= the friends 2x hours
3.5= socks
5= the number of friends
15.50= the super pizza deal
Over the interval 4 ≤ x ≤ 8, does f(x) or g(x)=2x^2+x-1 have a greater average rate of change? Show your work below.
The X coordinates for this interval should be 4, 8 with the y coordinates being 0, 14
I just don't understand what the difference between f(x) and g(x) is supposed to be
Answer:
Function g(x) has the greater average rate of change over the given interval.
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\sf \dfrac{f(b)-f(a)}{b-a}[/tex]
Given:
f(4) = 0f(8) = 14Therefore, the average rate of change for the function f(x) over the given interval 4 ≤ x ≤ 8 is:
[tex]\sf \implies\dfrac{f(8)-f(4)}{8-4}=\dfrac{14-0}{8-4}=3.5[/tex]
Work out values of function g(x) for x = 4 and x = 8:
[tex]\implies \sf g(4)=2(4)^2+(4)-1=35[/tex]
[tex]\implies \sf g(8)=2(8)^2+(8)-1=135[/tex]
Therefore, the average rate of change for the function g(x) over the given interval 4 ≤ x ≤ 8 is:
[tex]\implies \sf \dfrac{g(8)-g(4)}{8-4}=\dfrac{135-35}{8-4}=\dfrac{100}{4}=25[/tex]
Therefore, function g(x) has the greater average rate of change over the interval 4 ≤ x ≤ 8, as 25 > 3.5.
Can someone help with this?
Answer:
35
Step-by-step explanation:
There 3 sides of a triangle.There are three corners called verticals in a triangle.So you will need to add 62+45=107.The you need to divide.107/3=35.
Hope this helps you