Answer:
56
Step-by-step explanation:
Cube root of 175616 by prime factorization method is 56
Solution:
To find cube root of 175616 by prime factorization method
A number that must be multiplied by itself three times to equal a given number is called cube root
Prime factorization method:
Prime factorization is a number written as the product of all its prime factors.
In order of finding cube root by prime factorization we use the following steps:
Step I : Obtain the given number
Step II : Resolve it into prime factors.
Step III : Group the factors in 3 in such a way that each number of the group is same
Step IV : Take one factor from each group
Step V : Find the product of the factors obtained in step IV. This product is the required cube root
Prime factorization of 175616:
\text{ prime factors of 175616 } = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7 prime factors of 175616 =2×2×2×2×2×2×2×2×2×7×7×7
Thus we get,
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 7 \times 7 \times 7}
3
175616
=
3
2×2×2×2×2×2×2×2×2×7×7×7
Make the groups of 3 of equal numbers
\sqrt[3]{175616} = \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{2 \times 2 \times 2 \times } \times \sqrt[3]{2 \times 2 \times 2} \times \sqrt[3]{7 \times 7 \times 7}
3
175616
=
3
2×2×2
×
3
2×2×2×
×
3
2×2×2
×
3
7×7×7
So there are 4 equal groups. So from that group take one factor out
\sqrt[3]{175616} = 2 \times 2 \times 2 \times 7 = 56
3
175616
=2×2×2×7=56
Thus Cube root of 175616 by prime factorization method is 56
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RS=2x, ST=5x+4, and RT=32
From the information given ,the value of x is 4
What is a line segment?A line segment is simply defined as the portion of a line connecting two points that are known to be the endpoints.
From the information given, we have that;
Line RS has three segments which are line RS, Line ST and line RT, also S is the midpoint between points R and T
Given that;
Line RS = 2xLine ST = 5x + 4Line RT = 32Then,
RS + ST = RT
Substitute the values
2x + 5x + 4 = 32
collect like terms
7x + 4 = 32
7x = 32 - 4
7x = 28
Make 'x' the subject
x = 28/ 7
x = 4
Thus, the value of x is 4
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What is the minimum value of F(x)= 10x^{2} -6x-3
3/10 or -39/10
Answer: 3/10
Step-by-step explanation:
Take the derivative of [tex]10x^2-6x-3[/tex] to get [tex]20x-6[/tex]. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
[tex]20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}[/tex]
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
angle 7
angle 1
angle 4
angle 3
angle 2
angle 8
Answer:
The answer is angle 7, 3, and 2
Step-by-step explanation:
Angle 7 is vertical, angle 3 is alternate exterior, and angle 2 is corresponding.
Answer:
2, 7, 3
Explanation:
7= Vertically opposite
2= Corresponding
3= Vertically opposite to 2
I need help plz and this is due today
Answer: 1
Step-by-step explanation:
What is the answer
2x +3(x-1)=7x+1-2(x+2
Answer:
0=0 true for all x
Step-by-step explanation:
[tex]2x+3\left(x-1\right)=7x+1-2\left(x+2\right)\\\\[/tex]
[tex]2x+3x-3=7x+1-2\left(x+2\right)[/tex]
[tex]5x-3=5x-3[/tex]
Hope this help ya
<3
Red
Please help will mark brainliest and 20 points
Answer:
10 weeks
Step-by-step explanation:
she already has 14
so 5 x 10 = 50
14+50=64
Which equation shows a proportional relationship? *
y= -2x +5
y= 3+ 5x
y= -3x
Answer:
y= -3x
Step-by-step explanation:
The graph of a line with a proportional relationship would have the line go through the origin.
Since the 'y=-3x' equation only shows the slope of the line, it goes through (0,0), or the origin, as it's y-intercept.
y= -3x should be the correct answer.
Hope this helps.
Which function has a greater degree?
Answer:
I think it's either B or C because A and D don't make sense in my opinion.
Step-by-step explanation:
The degree of the p (x) is greater because r (x) is quadratic.
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The function p (x) is,
⇒ p (x) = 4x³ - 2x² + 15
And, The function of r (x) is find by table.
Here, By the given table;
The degree of r (x) is 2, because it is quadratic.
And, The degree of p (x) is 3.
Thus, We can conclude that;
The degree of the p (x) is greater because r (x) is quadratic.
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2. Which property is being used in the second line?
line 1: (4.5.-1). -6
line 2: 4.5 .(-1.-6)
line 3: 4.5 .6
line 4: 27
O A. Distributive
O B. Commutative
O C. Associative
O D. Additive Inverse
Answer:
C associative to associate both of them
Describe the series of rigid transformations that maps PQS onto P’’’ Q’’’ S’’’
Would love an answer by tomorrow!!! Due: 10/6/20 9AM (thanks!!)
Answer: Look in the pdf I attached
Step-by-step explanation:
On the second page it has answers
Find the surface area of the square pyramid (above) using its net (below). *4 by 3* CAN SOMEONE PLZ HELP ME ASAP!!!???
Answer:
24 units squared
Step-by-step explanation:
you have to first find the area of the base, which is 4 * 4 which is 16. then, to find the area of the triangles, you multiply the base by height, 4 * 3 = 12, and since we have 4 triangles, and one triangle would be (1/2) * base * height, you can multiply this result by 2, which would equal 24
Which function h(x) results when g(x) is translated IT
units right and 1 unit down?
Answer:
b on edge
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right on Edge
2x-4y=28 solve for y
Answer:
y=7+1/2x
Step-by-step explanation:
Hope this helps
Laurel ran 3 miles in 24 minutes.At that rate,how long will it take her to run 7 miles?
Answer:
it took her 60 mins which is a hour
Step-by-step explanation:
you would simply add 24 plus 24 and get 48 then u would take 24 and divide that by 2 and get 12 and then u would add 48 and 12 and get the final answer of 60
Answer:
it would take laurel 56 minutes to run 7 miles.
Step-by-step explanation:
She has to run 7 miles, so if she can run 3 in 24 minutes, you can double that time to 48 minutes to run 6 miles, on top of adding another 8 minutes due to 1/3 of 24 (the third being equal to 1 mile since 24 is 3 miles) being 8, leaving you with 56 minutes for her 7 mile run.
What is the distance between -12 and 4 on the number line?
Answer:
13 inches
Step-by-step explanation:
I need to figure this out
Answer:
plug in the missing numbers and you have the answers
Step-by-step explanation:
6×5=232+4×3=4427×3-(16+3×5)=507×5÷3+2=13.62×7-4×3=2Help with math! 10th grade math :)
2. Domain goes along the x-axis and the range is up the y-axis.
3.
A yes
B no
C yes
Answer:
2.) The domain goes along the x-axis and then the range is up the y-axis.
3. A.) yes
B.) no
C.) Yes
There are 12 girls for every 16 boy in class.
What is the ratio of boys to girls?
Write the ratio 3 ways.
Let p: A student plays basketball.
Let q: A student plays tennis.
How many students play both basketball and tennis?
4
8
32
36
Answer:
the answer is 4
Step-by-step explanation:
By the concept of the intersection of sets 4 students play both basketball and tennis
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
In this example, we search for the group of students who participate in both sports because we are aware that p is the set formed by the students who play basketball and q is the group formed by the students who play tennis. In other words, we seek the point at where the sets p and q intersect.
Each set is represented by a circle in the Venn diagram, and the set produced by the intersection of p and q is represented by the area where the two circles overlap.
This graph demonstrates that there are 4 kids that participate in both basketball and tennis.
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0.04 Equation Editor
Answer:
Step-by-step explanation:
Equation 3.0.
Fill in the bank.
355 – 229 is the same as
230-
Answer: 355-229=126
230-104=126
Step-by-step explanation: Please mark BRAINLIEST
solve x^3=1/8
a.1/2
b.+1/2
c.1/4
d.+1/4
Answer:
a 1/2
Step-by-step explanation:
1/2
5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = ??
Answer:
140 simple multipacation
Step-by-step explanation:
[tex]Hello!\;Your\;answer\;is\;below![/tex]
Given...
5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = (?)
Solution...5 x 10 + 2 x 10 + 0 x 10 + 7 x 10 = 140!
[tex]Hope \;this\; helps!![/tex]
#[tex]Be\;Bold[/tex]
#[tex]LearnWithBrainlyAlways[/tex]
#[tex]Always\;Brainly![/tex]
[tex]Brazts[/tex]
what's the slope of these two lines
Answer:
the green line is 3/4 and the blue line is-3/4
Solve and explain please
Answer:
Angle A is 64 degrees
Step-by-step explanation:
See attachment
What variables are compared on this graph?
Answer:
'x and y'
x represents the number of fire fighters responding
y represents the cost of damage
During a science experiment, your teacher does a demonstration. She takes a
small piece of rope, weighs it to find its starting weight, burns it, and then
weighs it again. The final mass of the product is different from the starting
weight of the reactant.
Why is the final mass different? Does this mean that the product has less
mass? Why or why not?
Answer:
less mass
Step-by-step explanation:
The product has less mass because some of its mass got burned. Hope this helps!
some parts of the rope turned into gasses because of the intense heat (fire)
Silver washed her dresses. She ironed them in 40 minutes. If she can iron 2 dresses in 10 minutes, write the number of the dresses, she had washed.
Answer:
8)
Step-by-step explanation
Its 8 because 2 x 4 = 8, or
2 x 2 x 2 x 2 = 8.
Isaac bought 18 boxes of cereal. This is 30% of the total boxes at the store. How many total boxes of cereal were at the store?
Answer:
60
Step-by-step explanation:
30% of total boxes at the store is equal to 18
so
[tex](30 \div 100 ) \times x = 18 \\ x = 18 \times( 100 \div 30) = \\ 18 \times (10 \div 3) = \\ 6 \times 10 = 60[/tex]
The 18 boxes of cereal Isaac purchased. This represents 30% of all the boxes in the store then total boxes of cereal at the store exists 60.
What is meant by percentage?Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. To exstimate a percentage, you divide the portion of the whole by the whole itself and multiply by 100.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
The total no of boxes = y × 100/x
Given x = 30%
y = 18 boxes
Total boxes at the store = 18 × 100/30 = 60
Therefore, the total boxes of cereal at the store exists 60.
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compare the linear functions expressed by the equation y equals negative x + 3 and buy data in the table explain how to determine if these two are the same function Express in different ways
Answer:
When a linear function is expressed in different forms, its slope and y- intercept remain the same. The slope from the equation is -1, and the y intercept from the equation is 3. The slope from the table is -1, and the y intercept fron the table is -3.
Step-by-step explanation:
I did it