[tex] \bold{ \underline{Solution }}[/tex]
[tex] \bold{ \underline{ \underline{Given}}}[/tex]
y = 9 feet
[tex] \bold{to \: find}[/tex]
Volume of cube
[tex] \bold {\underline{lets \: begin}}[/tex]
[tex]y \: = 9 \: feet \: [/tex]
Volume of cube= (S)³
[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]
so,, 729 is our final answer
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.Hey there!
Your formula: a * a * a or you could simply say a^3
Your equation;
9^3
= 9 * 9 * 9
= 81 * 9
= 729
Therefore, your answer should be:
729
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
156,161,190,165,172,165,184,168,184,149,169,172,172,178,215,180,165,178,178,182,164,184,187,189,190 in order.
Answer:
least to greatest: 149,156,161,164,165,165,165,168,169,172,172,172,178,178,178,180,182,184,184,184,187,189,190,190,215
Greatest to least: 215,190,190,189,187,184,184,184,182,180,178,178,178,172,172,172,169,168,165,165,165,164,161,156,149
Step-by-step explanation:
Isabella has a total of 150 music CD's.She loves rock music and alternative music. The number of alternative music CD's is three more than twice that of the rock music CD's that she owns .
(a). Write down two equations that represent this information.
(b). Draw the two graphs that represent these equations on the same set of axes .
(C). Show where you can read off how many Rock CD's Isabella owns .
The system of equations that we need to solve is:
x + y = 150y = 2x + 3And the solution is x = 49 and y = 101.
How to solve the system of equations?
Let's define the variables:
x = number of CDs of rock music.y = number of CDs of alternative music.We know that the total number of CDs is 150, then:
x + y = 150
And we know that:
y = 2x + 3
Then the two equations that represent the information (and conform a system of equations) are:
x + y = 150
y = 2x + 3
b) The graphs of the two equations can be seen below.
c) To find the solution, we just need to see where the graphs intercept.
We can see that the intercept is (49, 101), this means that:
Isabella has 49 rock music CDs and 101 alternative music CDs.
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Select all angle measures for which
sin 0=-
❌
✅
✅
❌
✅
If the trigonometric expression is sin θ = -√2/2. Then the value of angle θ will be 5π/4, 7π/4, and 13π/4.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric expression is given below.
sin θ = -√2/2
The expression can be written as
sin θ = -1/√2
Then the value of angle θ will be
θ = sin⁻¹ (-1/√2)
θ = 5π/4, 7π/4, and 13π/4.
Thus, the correct options are B, C, and E.
More about the trigonometry link is given below.
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Answer:
B,C,E
Step-by-step explanation:
somebody please help me with this
Answer:
P(A) = 13/18
P(B) = 7/18
Step-by-step explanation:
A) Sum greater than 5
If the sum needs to be >5, then it can be 6, 7, 8, 9, 10, 11, and 12.
There are 26 out of 36 events where the sum is >5, thus P(A) = 26/36 = 13/18.
B) Sum divisible by 4 or 6
The sum ranges from 2 to 12, there are two methods to calculate this:
B1) Method 1: Calculate the frequency one by one
The sums divisible by 4 or 6 are S = {4, 6, 8, 12}. There are 9 of them, n(S) = 14. Thus P(B) = 14/36 = 7/18.
B2) Method 2: Use the rule of not mutually exclusive events
Not mutually exclusive events (might also be called mutually inclusive) happens when two events can happen together at the same time. In this problem, the sum might be divisible by 4 and 6 at the same time, i.e. the number 12.
The common formula for not mutually exclusive events is P(A∪B) = P(A) + P(B) - P(A∩B). Nb: P(A) isn't talking about the previous problem, nor does P(B) talk about the second section as a whole; the terms P(A) and P(B) will be utilized next, explained with their uses.
P(A) = probability of the sum being divisible by 4, i.e. the number 4, 8 and 12
P(A) = (3+5+1) / 36 = 9/36 = 1/4
P(B) = probability of the sum being divisible by 6, i.e. the number 6 and 12
P(B) = (5+1) / 36 = 6/36 = 1/6
P(A∩B) = probability of the sum being divisible both by 4 and 6, i.e. the number 12
P(A) = 1 / 36 = 1/36
Here comes the use of formula P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = 1/4 + 1/6 - 1/36 = 7/18
Nb: As you can see, both method B1 and B2 give the same answer. Method B1 is usually easier to use when facing simpler problems like this. I'd recommend using method B2 for more complex and difficult questions, such as when you can't visualize the problem with a table because there are too much sets of variables.
Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3
PLEASE HELP!!! 31 POINTS
What is the volume of this rectangular prism?
26 cubic feet
35 cubic feet
50 cubic feet
105 cubic feet
Work Shown:
Volume = length*width*height
Volume = 3*7*5
Volume = 105 cubic feet
length × breadth × height
7 × 3 × 5
105 cubic feet
hope it helps...!!!
need help on this one!!
Step-by-step explanation:
the square root of x squared is x.
this means the( cube root of x ) to the power of 6 is what we need
the spinner will be spun three times. what is the porbability of spinning an odd number all three times?
A.1/8 The spinner looks likes this just i cant add a circle
B.1/4 4 1
C.1/2 3 2
D.3/4
Answer:
I think it is a bit not for shore
a sheet of paper is 0.1mm thick
a) A ream of paper has 500 sheets. how thick would 1 ream of paper be?
Answer:
a) 50 mmb) 1 200 sheet of paperStep-by-step explanation:
a) the thickness of one ream of paper :
= 0.1 × 500
= 50 mm
b) 12 cm = 12 × 10 = 120 mm
Then
the number of sheets that exist in a pile of papers that has a thickness of 12 cm :
= 120 ÷ 0.1
= 1 200 sheet of paper
If DI = 14, find CJ.
42
7
28
14
Answer:
28
Step-by-step explanation:
DI is a radius
CJ is a diameter
The diameter is twice the radius
CJ = 2 * DI
CJ = 2 * 14
CJ = 28
At devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.
in the second week, he spent $2 more in total for the 5 lunches than the first week.
what is the increase in the mean for the second week compared to the first?
round the answer to the nearest penny.
A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,
[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]
Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be
[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]
Hence, the increase in the mean for the second week compared to the first is 0.4.
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Find the value of x in the equation without evaluating the power
Answer:
See below
Step-by-step explanation:
2 ^(5+x) = 2^8 (because 256 = 2^8)
equate the exponents 5+x = 8 then x = 3
1/3 ^(2+x) = 1 / 3^ 6 (because 729 = 3^6 )
equate the exponents 2+ x = 6 then x = 4
Answer:
a) x = 3
b) x = 4
Step-by-step explanation:
Use the Exponential Power Rule.
[tex]a^x \times a^y = a^{x+y}[/tex]
Also covert the term on the right to the same base as on the left.
If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]
Without calculator you can divide with base untill you have it fully factored, then count. For example:
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
We had to divide with base two 8 times so 256 = 2⁸.
a)
[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]
Now that we have same base we can equate the exponents!
[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]
[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]
Write an expression to represent:
"5 times the sum of 12
and a number"
5 (12 + x)
Step-by-step explanation:
Answer:
5(12+X)
Step-by-step explanation:
#72 i will give brainliest to the best answer!
Step-by-step explanation:
Select all of the following that are quadratic equations.
x² + 3x - 5 = 0 ✓
x² - x = 3x + 7 ✓
5x - 7 = 0 X
7x² + 14x = 0 ✓
x³ - 3x² + 1 = 0 X
x - 5 = 9x + 7 X
What is quadratic equations?
Quadratic equations is a equation that has a general form like "ax² + bx = c"
For example :
x² + 3x - 5 = 0
x² + 3x = 5
x² → ax²
3x → bx
5 → c
GIVING BRAINLIEST!!!!!
Answer:
D' : (2, 1)
E' : (2, 3)
A' : (5, 3)
Step-by-step explanation:
Answer:
D' = (2, -3)
E' = (2, -1)
A' = (5, -3)
Step-by-step explanation:
Coordinates are :
D = (-4, -4)E = (-4, -2)A = (-1, -4)The transformation rule is :
(x , y) ⇒ (x + 6, y + 1)Point D'
D' = (-4 + 6, -4 + 1)D' = (2, -3)Point E'
E' = (-4 + 6, -2 + 1)E' = (2, -1)Point A'
A' = (-1 + 6, -4 + 1)A' = (5, -3)
If there are 12 crayons in each box, how many crayons are
there in 1 1/2 boxes?
Which graph represents the solution set of y = x2 − 4 and x + y + 2 = 0?
A.
graph A
B.
graph B
C.
graph C
D.
graph D
Answer:
its C
Step-by-step explanation:
I used something else for it for it
Evaluate the indefinite integral.
Answer:
I believe its C , i took this class
Step-by-step explanation:
what is the measurement of angle B
Answer:
41 degrees
Step-by-step explanation:
All of the angles must add up to 360 degrees to form a circle. So we have 22 + b + 297 = 360. Solving for b, we get b = 41.
Determine whether the value of each power is positive or negative.
(-10)
Positive
Negative
(-3)
(-2)
(-1)
(-6)
(-4)
Done
Intro
Answer:
answer in picture
Step-by-step explanation:
Which ratio table below does not represent a proportional relationship between the number of laptop and desktop computers being sold at an electronics store?
Answer:
table 1
Step-by-step explanation:
a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)
Table1 : (does not represent a proportional relationship) because :
11÷10=1,1
46÷42=1.09...
and 1.1 ≠ 1.09
Table2 : (represents a proportional relationship) because :
3÷6=0.5
9÷18=0.5
18÷36=0.5
72÷144=0.5
Table3 : (represents a proportional relationship) because :
18÷12=1.5
36÷24=1.5
54÷36=1.5
108÷72=1.5
Table4 : (represents a proportional relationship) because :
2÷3=0.666666666667
18÷27=0.666666666667
22÷33=0.666666666667
200÷300=0.666666666667
The relationship between the number of pounds (lb) of almonds and the price in dollars is shown in the graph. What is the unit price of almonds?
Answer:
B
Step-by-step explanation:
Slope is change of y over change of x
Y is going up by 8 and x is going over by 1
Therefore, $8/1 lb
Please, try to answer quickly Due in 1 hr!
Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit follow the example below and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24 (2 points: 1 point for each row)
The previous chart from question 2 is below. The chart I am trying to fill out is the bigger one That has the above question written on the picture.
All other times this question has been asked it has gone unanswered or with incorrect and incomplete answers please answer the question no matter how old it is because even if I have figured it out someone else can get help from this.
The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.
How to convert the value of temperature?In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:
F(t) = 9/5C(t) + 32
When t = 12, we have:
F(t) = (9/5 × 12) + 32
F(t) = 21.6 + 32
F(t) = 53.6°F.
When t = 24, we have:
F(t) = (9⁄5 × 24) + 32
F(t) = 43.2 + 32
F(t) = 75.2°F.
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Which of the following best describes how to use of the addition property of equality to isolate the variable x
below?
5=x-2
A. add 5 to both sides of the equation
B. subtract 5 from both sides of the equation
C. add 2 to both sides of the equation
D.
subtract 2 from both sides of the equation
HELPPPPPPP! DUE TOMORROW
Answer:
Angle 1 = 63.3
Angle 2 = 37.3
Angle 3 = 63.3
Angle 4 = 142.7
Step-by-step explanation:
When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3
Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180
Ange 1 = Angle 3 = 63.3
Angle 4 = 180-37.3 = 142.7
Given: X= 0.234523452345..... Is X rational or irrational? a If X is rational, rewrite it in a fraction.
WILL GET BRAINLIEST!!!!!!
Answer:
[tex]\sf X=\dfrac{2345}{9999}[/tex]
Step-by-step explanation:
Given:
[tex]\sf X=0.234523452345...[/tex]
Therefore, X is a recurring decimal (the decimal numbers 2345 repeat forever).
Converting a recurring decimal to a fraction
Let X equal the recurring decimal:
[tex]\implies \sf X=0.234523452345...[/tex]
Create another number with recurring 2345s by multiplying the above expression by 10000:
[tex]\implies \sf 10000X=2345.23452345...[/tex]
To solve these two equations and write X as a fraction, take away X from 10000X to remove all the recurring decimal places:
[tex]\large\begin{array}{r r l}& \sf 10000X & = \sf 2345.23452345... \\- & \sf X & = \sf \quad \:\:\:0.23452345.... \\\cline{2-3} & \sf 9999X & = \sf 2345\end{array}[/tex]
[tex]\implies \sf 9999X=2345[/tex]
Divide both sides by 9999:
[tex]\implies \sf X=\dfrac{2345}{9999}[/tex]
Therefore, 0.23452345... as a fraction is [tex]\sf \dfrac{2345}{9999}[/tex]
sin^4 x+2sin^2 x-3=0
Solve by factoring on [0,2pi]
Answer:
Step-by-step explanation:x=π2,3π2
Explanation:
This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒
2
x
=
−
3
and
sin
2
x
=
1
⇒
sin
x
=
√
−
3
and
sin
x
=
√
1
⇒
sin
x
=
∅
and
sin
x
=
±
1
⇒
x
=
π
2
,
3
π
2
Hopefully this helps!
A jar made of 1/4 inch thick glass has an inside radius of 4.7 inches and total height of 13.3 inches (including the bottom thickness of glass). What is
the volume of the glass shell of the jar (in cubic inches)?
The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.
What is the volume of a cylinder?The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex].
In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:
[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]
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solve for x in this proportion.
x/4=6/8
Answer:
x = 3
Step-by-step explanation:
x / 4 = 6 / 8
4 time 2 = 8
4a = 8 divided both side by 4 4a / 4 = 8 / 4 a = 2
so
x time 2 = 6
2a = 6 divided both side by 2 2a / 2 = 6 / 2 a = 3
The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie
Answer:
6.28
Step-by-step explanation:
2×3.14 because this is just simple multiple
Please Help its a math problem !! see image attached below for more info
Answer:
g(x) = 2ˣ⁻¹ + 3
Step-by-step explanation:
f(x) = 2ˣ
Translated 1 unit right
Represented by (x - 1)f(x - 1) = 2ˣ⁻¹Translated 3 units up
Represented by adding 3g(x) = 2ˣ⁻¹ + 3Answer:
Well if its a translation on the x-axis the formula would be g(x) = -2×
Although Functions are not my strong suit
I hope i got this right!