Answer:
1.1875 feet is equal to 14.25 (14 quarter) inches.
Hope It Helps.
What is the following sum?
3 b squared (RootIndex 3 StartRoot 54 a EndRoot) + 3 (RootIndex 3 StartRoot 2 a b Superscript 6 Baseline EndRoot)
6 b squared (RootIndex 3 StartRoot 2 a EndRoot)
12 b squared (RootIndex 3 StartRoot 2 a EndRoot
6 b squared (RootIndex 6 StartRoot 2 a EndRoot)
12 b squared (RootIndex 6 StartRoot 2 a EndRoot)
[tex]12b^2\sqrt[3]{2a}[/tex]
In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot
Or you could say 12b^2 times the cube root of 2a
========================================================
Work Shown:
[tex]3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\[/tex]
The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.
The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
We have the expression,
3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).
In numerical form,
3b²∛(54a) + 3∛(2ab⁶)
To find the sum of the above expression:
we simplify the expression,
3b²∛(54a) + 3∛(2ab⁶)
= 3b²∛3³(2a) + 3∛(2a)(b²)³
= 9b²∛(2a) + 3b²∛(2a)
= 12b²∛(2a)
Therefore, the sum is 12b²∛(2a).
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The chart below describes the speed of four runners. Which runner is the fastest?
Runner A ran 1 mile in 8 minutes
Runner B ran 2 miles in 10 minutes
Runner C ran 3 miles in 20 minutes
Runner D ran 5 miles in 30 minutes
Answer:
Runner B
Step-by-step explanation:
speed = distance ÷ time
Runner A: 1 ÷ 8 = 0.125m/ms
Runner B: 2 ÷ 10 = 0.2m/ms
Runner C: 3 ÷ 20 = 0.15m/ms
Runner D: 5 ÷ 30 = 0.17m/ms
Runner B has the highest speed so he is the fastest runner.
P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. How long will Q take to finish the task now?
Detail it
Answer:
45 minutes
Step-by-step explanation:
Assume task completed in total x hours
[tex]\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}[/tex]
So q will take 45 more minutes
How many days are in 19 lunar calendar new years with an extra month added in seven times?
There are 6939.56 days in 19 lunar calendar new years with an extra month added in seven times.
What is lunar year?"A lunar year is 12 lunar months, so 19 of these would be 228 lunar months. With the 7 extra months, the total period would be 235 lunar months of 29.530589 days each and is 6939.69 days.
We will notice that this is almost the same as 19 solar years of 365.24 days, which is 6939.56 days.
Now, you are referring to the Hebrew Calendar, a 19-year period that consists of 12 years of 12 months plus 7 years of 13 months,
Therefore, 19 years is the period after which the Hebrew and solar calendar dates will match up."
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What is the sum?
3 5/
x²-9x+3
Answer:
9x3 + 3x2 + 35
x2
Step-by-step explanation:
I hope this helped u
Let f(t) ANSWER: 1+ = t² - 1 t+3 Find f'(1)
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
A college graduate invests $3,000 into an account that earns 6% annual interest compounded monthly. What is the value (in dollars) of
the investment after 5 years? (Round your answer to the nearest cent.)
Answer:
$4,014.68
Step-by-step explanation:
A = $4,014.68
A = P + I where
P (principal) = $3,000.00
I (interest) = $1,014.68
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(5)
A = 3,000.00(1 + 0.06)^(5)
A = $4,014.68
Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles. The total cost before tax was $15.69. Write and solve an equation which can be used to determine j j, how much each bottle of juice costs.
An equation that can be used to determine j j, each bottle of juice costs 15.69 = 6j + 2.91
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles.
The total cost before tax was $15.69.
An equation that can be used to determine j j, is how much each bottle of juice costs.
15.69 = 6j + 2.91
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How many 3-digit numbers contain at least one zero?
Answer:
171
Step-by-step explanation:
100
101
102
103
104
105
106
107
108
109
110
120
130
140
150
160
170
180
190
200
201
202
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510
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760
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802
803
804
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807
808
809
810
820
830
840
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870
880
890
900
901
902
903
904
905
906
907
908
909
910
920
930
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970
980
990
What is the circumference of a circle with a radius of 11 cm? (Use = 3.14.)
A.
103.62 cm
B.
69.08 cm
C.
34.54 cm
D.
379.94 cm
First, we need to follow the circumference of a circle formula, which is [tex]C = 2 \pi r[/tex]. Since we know the radius, we can plug 11 for the radius and 3.14 for pi.
The equation should now look like this: [tex]C = 2 * 3.14 *11[/tex]. Then, we multiply. After solving, the circumference of the circle is 69.08 centimeters.
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?
-9
-3
3
9
Answer:
the answer is a
Step-by-step explanation:
i literaly just tookthetest on edginuity
Answer:
a = 9
Step-by-step explanation:
First we substitute 1 into the quadratic equation :
(x+2)² = a
(1+2)² = a
(3)² = a
3×3 = a
a = 9
Hope you understood, hope this helped and brainliest please.
Factorise 14e-16
Please explain
The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)
How to factor the expression 14e - 16?The expression is given as:
14e - 16
Express both terms as a product of 2
14e - 16 = 2 * 7e - 2 * 8
Factor out 2 in the expression
14e - 16 = 2 * (7e - 8)
Remove the product sign
14e - 16 = 2(7e - 8)
Hence, the factored expression of 14e - 16 is 2(7e - 8)
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Milan borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 7%. The total interest that he paid was $3780. How much money did he borrow?
Answer:
$54000
Step-by-step explanation: 3780 divided by the number of years he paid interest for, (6) gives you 630. If he pays 7% interest, you calculate what number 630 is 7% of (9000.) Therefore he takes out 9000 dollars a year. Meaning that in total, he borrowed 54,000 dollars. (9000 x 6)
Henry is researching the elephant exhibit at his town's zoo.
Which of the following is a statistical question Henry could ask?
A.
When was the zoo opened?
B.
What was the name of the first elephant in the exhibit?
C.
What is the average weight of the adult elephants in the exhibit?
D.
How many elephants are in the exhibit?
What is the average weight of the adult elephants in the exhibit? This is the correct statistical question.
What is the statistical questions?Statistical question is that type of question which have more than one possible answers.
The answer of statistical question is the collection of various points of data.
The answer of statistical question depends on variety and situations.
The answer of statistical question may be range . Answer of statistical question are more than one.
What is the average weight of the adult elephants in the exhibit?
This is the correct statistical question.
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The given box plot represents the number of pictures taken by tourists on the same group tour. Which five-number summary represents this
data set?
Photographs Taken by Tourists
00
8
10
12
18
26 28
30 32
14 16 20 22 24
Number of Photographs
OA. 8, 16, 23, 28, 32
OB. 10, 16, 23, 28, 32
Ос. 10, 16, 22, 28, 32
OD. 8, 10, 16, 28, 32
Answer: b: 10, 16, 23, 28, 32
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
its B !
The perimeter of an equilateral triangle is 1/8 unit. What is the length, in units, of each side of the triangle
Answer:
[tex] {\longrightarrow \pmb{\sf {\qquad \frac{1}{24} }}} \\ \\[/tex]
[tex] \: [/tex]
Step-by-step explanation:
It is given that the perimeter of an equilateral triangle is 1/8 unit and we have to find the length of each side of the triangle.
So, we know that,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 3a = Perimeter_{(Equilateral triangle) }}}} \\ \\[/tex]
Now, substituting the given values in the formula :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3a = \frac{1}{8} }}} \\ \\[/tex]
By doing cross multiplication we get :
[tex]{\longrightarrow \pmb{\sf {\qquad 3a(8) = 1(1) }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 24a = 1 }}} \\ \\[/tex]
Dividing both sides by 24 we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{24a}{24} = \frac{1}{24} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \frac{1}{24} }}} \\ \\[/tex]
Therefore,
The length of each side of the triangle is 1/24 unitsIf i subtract my number, then square the result, I get the same answer as if i square my number, then subtract 20 from the result
The Algebraic equations (x - 20)² and x² - 20 have an equal value My number is 6.
What is an Algebra equation?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the result.
Let the number be x.
If I subtract 20 from my number that is x - 20 then square the result that is (x-20)².
And if I square my number that is x² then subtract 20 from the result that is x² - 20.
Both the result are the same then we have
(x - 20)² = x² - 20
x² - 20x + 100 = x² - 20
-20x + 100 = -20
x = 6
My number is 6
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A local daycare is updating its marketing material. The owner wants to include the average age of children who currently attend the daycare. The current breakdown of children by age is located in the table below. Use this information to calculate the average age of children attending the daycare. Round to the nearest tenth.
Answer: n2.4
Step-by-step explanation:
Average age=6⋅1+4⋅2+3⋅3+5⋅46+4+3+5=4318=2.38888...=2.4
The average age of a child attending this daycare is 2.4 years old.
The website for Company A receives 8×10 6 visitors per year. The website for Company B receives 4×10 3 visitors per year. Determine how many times more visitors per year the website for Company A receives than the website for Company B.
Answer:
2000 times
Step-by-step explanation:
I'm assuming you mean 4*10^3 and 8*10^6.
8*10^6/(4*10^3)
=(8/4)*(10^6/10^3)
=2*(10^3)
=2*1000
=2000 times
How do you explain a math equation?
The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 1 mg. What was the initial mass (in mg) of the sample?
-5 + 20m + 3 < 18m + 12
Answer:
m<7
m is greater than 7, i hope that helps
Answer:
m<7
Step-by-step explanation:
-5+20m+3<18m+12
Group like terms
20m-18m<12+5-3
2m<17-3
2m<14
2m÷2<14÷2
m<7
hope this helps *_*
pls brainliest
A loan has an APR of 8%. The maximum that Steve can pay back monthly on a loan is $129.60. He wants the loan for 1 year.
Answer:
$1,679.62
Step-by-step explanation:
129.60*12=$1,555.20
You then do 1,555.2*.08, and get:124.416
You then add the 2 together to find the amount needed to be paid back.
WRITE Mask Explain how you can prove that 3 weeks is
less than 24 days.
Answer:
7x3 = 21
Step-by-step explanation:
It's simple math. One week is 7 days. So just multiply 7x3 and then that's equaled to 21.
I already wrote the ordered pair. Just write how the number pairs are related.
Answer:
it is related by 35 because you are adding 35.
Step-by-step explanation:
NO LINKS! Please help me with this problem.
#1
[tex]\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}[/tex]
[tex]\\ \rm\Rrightarrow WX/2=10[/tex]
[tex]\\ \rm\Rrightarrow WX=20[/tex]
Again
#2
[tex]\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}[/tex]
[tex]\\ \rm\Rrightarrow FG=10[/tex]
Answer:
WX = 20
FG = 10
Step-by-step explanation:
If EFGHI ~ VUTXW
then:
EF~VUFG~UTGH~TXHI~XWIE~WVThe only pair of sides that both have measures is EF and VU
EF = 8
VU = 16
VU/EF = 16/8 = 2
Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.
As HI = 10
⇒ WX = 10 × 2 = 20
As UT = 20
⇒ FG = 20 ÷ 2 = 10
If D denotes the number of degree and G denotes the number of grades Prove D/9=G/10
Answer:because each answers eachother
Step-by-step explanation:
BRAINLIEST + STARSS!!!
What is the volume of this cone? Use 3.14 for pi and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how u calculated it
Answer:
33.5 in^3
Step-by-step explanation:
The formula for a cone is (pi)(r^2)(h/3)
Since we need to use 3.14 for pi, we will plug in 3.14 for pi. It should look like this: (3.14)(r^2)(h/3)
The radius is 2 and the height is 8. Plug in the numbers:
(3.14)(2^2)(8/3)
Simplify:
(3.14)(4)(2.66...)
Multiply:
(12.56)(2.66...) -> 39.4933...
Finally, 39.4933... is rounded to the tenths place:
39.5
Hope this helps :)
Brainly needs 20 characters I can’t even get 2
Answer:
B. the spring has a length of 1 inch when no force is applied
Step-by-step explanation:
Answer:
the last guy who answered is correct
Step-by-step explanation:
sorry I needed to answer for more answers I can get
What’s 12 3/4+17/2+5 4/6