Can you solve this
5 is multiplied by the cube of a number
Answers
Step-by-step explanation:
We will assume “a number” is “a”. When it is cubed it will be represented by
= “a³”.
When we multiply the number with 5 then the new cube will be
= (5a)³
Now distribute the exponent to the factors inside the parentheses.
= 125a³
What happens in the parentheses is 5*5*5 = 125
a*a*a = a³
So by multiplying your number with 5 it gets increased by 125 times.
Related Questions
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answers
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
The population of Virginia is 30% less than the population of Georgia. If
the population of Georgia is 10.5 million, what is the population of
Virginia?
Answers
7,150,000
The population of Georgia is 10,500,000.
The population of Virginia is 30% less than that.
So the population of Virginia is 10,500,000 - 30% which equals 7,150,000
what is equivalent j^4-16+(J^2-)^2
Answers
Answer: b. comma and cola
Step-by-step explanation:
I will give you the brainliest!!! And 25 points!!!!
Someone solve this for me with explanation please. I need help
Answers
The perimeter of the given triangle with given lengths is; 78
What is the perimeter of the triangle?The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.
Now, we are given the triangle as QRS.
We are given that;
A is the midpoint of QR
B is the midpoint of RS
C is the midpoint of SQ
Thus;
QA = RA = 10
BR = SB = 15
SQ = 28
Thus;
Perimeter of Triangle = 2(10) + 2(15) + 28 = 78
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Select all the properties of a right triangle.
A. Has a right angle
B. Has one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has three acute angles
no links!! help please!!
Answers
Answer:
A. has a right angle
thats one
Answer:
I think it is A and D. Not 100% sure tho.
Find the domain and range of the relation. Also determine whether the relation is a function.
{(6,3), (8,5), (-4,-4), (5,5)}
Answers
The domain is:
D: {-4, 5, 6, 8}
The range is:
R: {-4, 3, 5}
And yes, the relation is a function.
How to determine the domain and range?
For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).
Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}
The domain is the set of the first values of each pair, so we have:
D: {-4, 5, 6, 8}
The range is the set of the second values of each pair:
R: {-4, 3, 5}
Now, is this a function?
Yes, it is a function, because each input is mapped into only one output.
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The value of a stamp collection increases by 6% in simple interest annually. The collection is currently worth 200$. How much will it be worth in 15 years?
Answers
The stamp collection will be worth $380 after 15 years.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula for simple interest to find the value of the stamp collection after 15 years.
Let P be the initial value of the collection (which is $200 in this case), r be the annual interest rate (which is 6% or 0.06), and t be the time period (which is 15 years).
The simple interest formula is:
I = P x r x t
where I is the interest earned.
Substituting the given values, we get:
I = 200 x 0.06 x 15 = $180
This means that after 15 years, the collection will be worth the initial value plus the interest earned, which is:
A = P + I = $200 + $180 = $380
Therefore, the required amount is $380.
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Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answers
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.Please Help
8x + 1
115⁰
Answers
180-115=65
8x+1=65
(remove the +1 by -1 from both sides)
8x=64
(remove the 8• by dividing by 8 on each side)
64/8
x=8
ANSWER: x=8
You buy egg yolks for $13/gallon. A batch of Hollandaise requires 4 oz of egg yolks. How much do you spend on egg yolks for one batch of Hollandaise?
Answers
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Solve the inequality for X
2x ≥ 2(4x + 7) + 4
Show each step of the solution.
Answers
2x greater than equal to 8x + 14 + 4
2x greater than equal to 8x + 18
2x - 8x greater than equal to 18
-6x greater than equal to 18
x less than equal to -18/6
x less than equal to -3
whoever answers correctly gets brainliest
Answers
im just answering for free points
Step-by-step explanation:
Someone help me with this
Answers
a. Category with the greatest frequency is 20 - 24
b. 14 students
c. The percentage is 7%
What is frequency?Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.
From the information given, we have that;
a. The category with the greatest frequency is the one with most words spelt, we have;
20 - 24
b. The number of students that spelt 35 - 39 words is traceable to
14 students
c. If the total number of students is 200
Then, the percent of students in the 35 - 39 category is;
14/200 × 100/1
Multiply the values
7%
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Type of Bean
Lentils
Lima beans
Black beans
Pinto beans
18.02
What is the relative mass of the lima beans?
14.4
4.54
5.43
Weight (g) (50 count of beans)
2.65
14.4
2.65
Relative Mass
1
3.29
6.8
Answers
Answer: Figure out the answer to the following!
Type of Bean
Lentils
Lima beans
Black beans
Pinto beans
18.02
What is the relative mass of the lima beans?
14.4
4.54
5.43
Weight (g) (50 count of beans)
2.65
14.4
2.65
Relative Mass
1
3.29
6.8
Step-by-step explanation:
Type of Bean
Lentils
Lima beans
Black beans
Pinto beans
18.02
What is the relative mass of the lima beans?
14.4
4.54
5.43
Weight (g) (50 count of beans)
2.65
14.4
2.65
Relative Mass
1
3.29
6.8
What is a perfect square 6^1
Answers
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
=
The area of Desert A is five times the area of Desert B. If the sum of their areas is 600,000 square miles, find the area of each desert.
Answers
The area of Desert A is 500,000 square miles and the area of Desert B is 100,000 square miles.
What is area?
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Area of a square is side × side.
Let the area of Desert A = x square miles
and the area of Desert B = y square miles
Given that, the area of Desert A is five times the area of Desert B,
i.e. x = 5y ...(1)
and the sum of their areas is 600,000 square miles,
i.e. x + y = 600,000 square miles ...(2)
Putting equation (1) in (2), we get
5y + y = 600,000
or 6y = 600,000 or y = 100,000 square miles
Using equation (1),
x = 5 × 100,000 = 500,000 square miles
Hence, the area of Desert A is 500,000 square miles and the area of Desert B is 100,000 square miles.
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What is the perimeter of the triangle?
Answers
The perimeter will be 30
Step-by-step explanation:
Perimeter = all side lengths added
Step 1. Determine the length of the triangle
Answer: 5
Step 2. Determine the width of the triangle
Answer: 12
Step 3. Determine the diagonal line across the triangle
Answer + explanation:
For it to figure it out, we must use this method called Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
Where a = 12 b = 5 and c = the diagonal line
12^2 + 5^2 = c^2
144 + 25 = c^2
c^2 = 169
c = 13
The diagonal line measures 13 units
Step 4. Add all of the dimensions we just reviewed
Answer:
Length = 5
Width = 12
Diagonal line = 13
5 + 12 + 13 = perimeter
perimeter = 30
Therefore, the perimeter is 30
Work out the circumference of this circle.
Give your answer in terms of 3.142
6 mm
Answers
If 6mm is the diameter then the circumference is 6 pi
Trigonometry question! NEED HELP ASAP
Answers
Answer:
12.3 = y
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 35 = y/15
15 cos 35 = y
12.28728066 = y
To the nearest tenth
12.3 = y
Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x2,y2). If necessary, round to the nearest hundredth.
Answers
Answer:
(7, 0) and (-5, 0)
Step-by-step explanation:
Vertex form
\(y=a(x-h)^2+k\)
(where (h, k) is the vertex)
Given:
vertex = (1, -108)\(\implies y=a(x-1)^2-108\)
Given:
y-intercept = (0, -105)\(\implies a(0-1)^2-108=-105\)
\(\implies a(-1)^2=-105+108\)
\(\implies a=3\)
Therefore:
\(\implies y=3(x-1)^2-108\)
The x-intercepts are when y = 0
\(\implies 3(x-1)^2-108=0\)
\(\implies 3(x-1)^2=108\)
\(\implies (x-1)^2=36\)
\(\implies x-1=\pm \sqrt{36}\)
\(\implies x=1\pm 6\)
\(\implies x=7, x=-5\)
Therefore, the x-intercepts are (7, 0) and (-5, 0)
Find the value of x and y
Write ur answer in simplest form
Answers
Answer:
could y be 45 degrees and x be 15 degrees
Step-by-step explanation:
Answer:
x = 18
y = 6√3
Step-by-step explanation:
30-60-90 triangle
Ratio of length of sides:
1 : √3 : 2
y : x : 12√3
y/1 = 12√3/2
y = 6√3
x = y × √3
x = 6 × √3 × √3
x = 18
Will mark Brainlest. ( if you spun the spinner 1 time ,what is the probabilty that it would land on gray piece) step by step
Answers
Answer:
P(grey) = 0.2857
Step-by-step explanation:
Remark
This is another one of those questions where assumptions are being made with no valid proof that they are correct.
Assumptions
All of the pie shapes are equalThere are 7 of them. The events are all equally likely to happen. The spinner is "fair."Solution
There are 2 grey pie shaped pieces.
There are 7 shapes all together.
P(grey) = 2/7
P(grey) = 0.2857
Simplify −8.5(0.3+0.4)÷(−5)+0.31.
Answers
Answer:
1.5
Step-by-step explanation:
Type the missing number in this sequence: 1, 2, 4, 8, , 32
Answers
Answer:
1,2,4,8,"16",32
Step-by-step explanation:
we are times by 2 on each one
The missing number in the sequence is 16.
The given sequence follows a pattern where each number is obtained by multiplying the previous number by 2.
Starting with 1:
1 × 2 = 2
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
So, the missing number in the sequence is 16.
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100 POINTS PLEASE HELP ME ALGEBRA
Answers
The range of the graph of the exponential function is (b) {y | y > 0}
Calculating the range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph of the exponential function
The rule of an exponential function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is always greater than the constant term
From the graph, the constant term is 0
So, the range is y > 0
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mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmoby max pls help
Answers
Answer:
5/4 or 1 1/4 or 1.25
Step-by-step explanation:
#13, can you please teach me how to do this, have not been taught this.
Answers
Given:
\(f(x)=(x-3)(x+8)\)Express the function in the following form,
\(f(x)=a\text{x}^2+bx+c\)It becomes,
\(\begin{gathered} f(x)=(x-3)(x+8) \\ f(x)=x(x+8)-3(x+8) \\ f(x)=x^2+8x-3x-24 \\ f(x)=x^2+5x-24 \\ \text{Compare it with f(x)=ax}^2+bx+c\text{ it gives,} \\ a=1,b=5,c=-24 \end{gathered}\)Answer:
\(\begin{gathered} f(x)=x^2+5x-24 \\ a=1,b=5,c=-24 \end{gathered}\)what is the prescribed dosage of a certain medicine for a 6 year old child if the adult dosage of the medicine is 180 milligrams?
Answers
Answer: C= 60 milligrams
Step-by-step explanation:
apply the formula
C = Divide[a,\(40)a+2\(41)]A
Divide. Write the answer in simplest form. 3=6= 8
\( \frac{3}{8} \div 6\)
Answers
![Divide. Write the answer in simplest form. 3=6= 8[tex] \frac{3}{8} \div 6[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/S8DA2XliQjHgV1kW4RhKIXT4tYbYX0hu.png)
Converting a Percent to a Decimal
Answers
a) The percentage is 73%.
b) The ratio is 73:27
d) The decimal form is 0.73
e) The fraction is 73/100
What percentage is shaded?The percentage of the model that is shaded is given by:
P = 100%*(shaded squares)/(total number of squares)
There are 100 squares in total, of these 73 are shaded, then the percentage is:
P = 100%*(73)/100 = 73%
b) The ratio is "shaded squares to non shaded squares"
There are 73 shaded squares and 27 non-shaded ones, then the ratio is 73:27
c) To get the equivalent decimal to a percentage, just divide it by 100%.
p = 73%/100% =0.73
d) The equivalent fraction is the fraction we wrote on the first step, it is:
fraction = 73/100
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