Answer:
The biggest factor of 49896 is 24948
The largest perfect square factor of 49896 is 36.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized.
The prime factorization of 49896 is 2³ x 3⁴ x 7 x 11
To find the largest perfect square factor of a number, you can find the prime factorization of the number, and then take the highest exponent of each prime factor that is a perfect square (in this case, 2²).
As per the question, in the prime factorization of 49896, the highest exponent of 2 that is a perfect square is 2², so 2² is included in the largest perfect square factor. The highest exponent of 3 that is a perfect square is also 2², so 3² is also included in the largest perfect square factor. The highest exponent of 7 that is a perfect square is 1, so 7 is not included in the largest perfect square factor.
The final result is 2² x 3² = 36, which is the largest perfect square factor.
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I need help solving these
Answer:
m∠1 = 140°
m∠2 = 40°
m∠3 = 65°
m∠4 = 75°
m∠5 = 115°
Step-by-step explanation:
We will use a few different methods to find the angles:
A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:
∠1+∠2+∠3=180°
60+80+∠3=180°
Let x represent the value of ∠3. Simplify addition:
[tex]140+x=180[/tex]
Subtract 140 from both sides:
[tex]140-140+x=180-140\\\\x=40[/tex]
The unknown angle is 40°. With this information, we can find the
m∠1:
m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.
∠1+∠2=180°
Insert the value we know:
40°+∠2=180
Let x represent the value of ∠2. Subtract 40 from both sides:
[tex]40-40+x=180-40\\\\x=140[/tex]
There fore:
m∠1=140°
We can use this same rule to find the m∠2:
∠1+∠2=180°
or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:
m∠2=40°
To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:
∠1+∠2=180°
Insert the known values, substituting x for the unknown angle:
[tex]x+105=180[/tex]
Subtract 105 from both sides:
[tex]x+105-105=180-105\\\\x=75[/tex]
The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:
m∠2+m∠3+75=180
Insert the m∠2, make m∠3 be x:
[tex]40+x+75=180[/tex]
Simplify addition:
[tex]115+x=180[/tex]
Subtract 115 from both sides:
[tex]115-115+x=180-115\\\\x=65[/tex]
Therefore:
m∠3=65°
To find m∠4, use the vertical angle rule.
Therefore:
m∠4=75°
To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:
[tex]75+40=115[/tex]
Therefore:
m∠5=115°
:Done
In the following exercises, multiply
Is 40.8 less than or greater than 0.71
Answer: greater than
Step-by-step explanation:
Michelle has 3 3/8 cups of cereal. A serving of cereal is 3/4 cup. How many servings of cereal does Michelle have ?
Answer:
4.5
Step-by-step explanation:
(3 3/8) / (3/4)= 4.5
The amount of servings of cereal that Michelle have is 4 1/2 servings of cereal
From the question, we are told that a serving of cereal is 3/4 cup, this can be expressed as:
1 serving of cereal = 3/4 cups
If Michelle has 3 3/8 cups of cereal, this can be expressed as;
x = 3 3/8 cups of cereals
Divide both expressions
1/x = 3/4 * 8/27
1/x = 6/27
x = 27/6
x = 9/2
Hence the amount of servings of cereal that Michelle have is 4 1/2 servings of cereal
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45= 5x-10 =?
no need for explanation I just need something quickly
Answer:
11
Step-by-step explanation:
5x-10=45
+10. +10
5x= 10+45
5x= 55
x= 11
write the following as an algebraic equation. Use x as the unknov
and use a sum.
The sum of a number and 38.9 is 45.5
Answer:
The unknown value of x is 6.6
Step-by-step explanation:
38.9 + x = 45.5
x = 45.5 - 38.9
x = 6.6
Find the missing angle ACB.
A. 90°
B. 70°
C. 45°
D. 40
E. 20°
Answer:
The answer would be D)
Step-by-step explanation:
The angles of a triangle ALWAYS add up to 180. 70+ 70= 140
140+40= 180
Jalia has $500. She spends $220 on a pair of Yeezys for Christmas. Later she realizes that
she need to make more money to go shopping for clothes. She made a profit of $300
babysitting. She then spends $200 on clothes. On Christmas day, she realize she haven't
bought her siblings anything, and decides to split the money amongst her four siblings. How
much money does each sibling get?
Answer:
145
Step-by-step explanation:
500-220=280
280+300=580
580÷4=145
Brenda makes wooden pumpkin coasters for the fall. She cuts small round posts into ⅔ -inch-thick disks of wood. How many coasters can Brenda make from a post that measures ½ foot in length?
Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero? –$16 –$8 $8 $16
Answer:
The answer is $16
Step-by-step explanation:
Venessa owed her friend $24. She paid back $8.
Account status = 8 - 24 = -$16
The amount remaining to pay to make account zero 24 - 8 = $16.
Answer:
The answer is D.) 16
Step-by-step explanation:
To solve this problem you are gonna do subtraction. What you are going to subtract is 24 - 8, because Vanessa took $24.00 from her friend and they want to you figure out how much she needs to pay back and in math when you are trying to figure out problems like this then you would use subtraction.
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I'm so sorry if I did not make any seance but I hope you pass! :)
A penguin walks 10 feet in 6 seconds. At this speed:
How far does the penguin walk in 45 seconds?
How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
PLS KEEP THIS SIMPLE LIKE A 6TH GRADE ANSWER I JUST WANT TO KNOW THIS
Answer: The penguin will walk 75.15 feet in 45 sec
Answer:653745
Step-by-step explanation:
what is the distance between -2 and 6?
Answer:
8units
Step-by-step explanation:
Help me help me plz
Answer:
??????????????????????
True or false: in the expression 6^8 there are 8 factors of 6
Answer:
true
Step-by-step explanation:
Under a dilation of a scale factor of 1/2 centered at (7,5), SM becomes HG. Determine the coordinates of HG
X-8=37 – 8(x + 9)
Plssss help meee
Answer:
x=-3
Step-by-step explanation:
How many cups of potatoes are needed if 1 cup of diced ham is used?
Answer:
i think 7 but i am not 100% sure
Step-by-step explanation:
Myrna had 36 pieces of fried
chicken and 48 spring rolls. She
prepared identical plates of fried
chicken and spring rolls without any
food left over. What was the greatest
number of plates Myrna prepared?
A. 12 plates
B. 9 plates
C. 15 plates
D. 18 plates
what is 95+138? i need help
Answer:
The answer is 233
hope this helps you
Which statement describes the graph of this function? h(x) = 4x^2 - 100/8x - 20?
[tex]h(x) = \frac{4x^2 - 100}{8x - 20}[/tex]
A. There is a horizontal asymptote at y = 5.
B. There is a horizontal asymptote at y = 1.
C. The graph has an oblique asymptote.
D. There is a horizontal asymptote at [tex]y = \frac{1}{2}[/tex].
Answer:
ANSWER
Step-by-step explanation:
There is a horizontal asymptote at y=5
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The asymptote of the function is:
The vertical asymptote of the function lies at y=20/8.There exist no horizontal asymptote of the function.There exist an oblique asymptote of the function at y=(x/2)+(5/4).Hence, the correct option is C.
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What is the quadrant in -294 degrees
Answer:
In the first quadrant
Step-by-step explanation:
Its between -270 and -360
there are 30 candies in a bag and you ate 9 of them what percentage did you eat?
Answer:
2.7% i think sorry
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
total candies=30
candies i ate=9
now,
% of candies i eat=9×100%/30
=30%
Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Explain how you know.
Answer:
No, it does not. See below.
Step-by-step explanation:
Lets find out the linear equation that passes trough (-2, 0) and (0, -6).
We know every linear equation has the form: y = mx + b
Where m is the slope on the curve and b the independent term.
We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:
m = (y2-y1)/(x2-x1)
In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:
m = [-6 - 0] / [0 - (-2)]
m = -6/2 = -3
So, we have a downward linear function with slope -3, this is:
y = -3x + b
Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):
0 = -3(-2) + b
0 = 6 + b
Subtracting 6 in both sides:
-6 = b
So, our independent term is -6 and the function is:
y = -3x - 6
Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:
y = -3(2) - 6 = = -6 - 6 = - 12
So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)
7y +2-2y-9 x+12-x Simplified
Answer:
- 10 + 5y + 14
Step-by-step explanation:
Solve the inequality p - 9 is less than -9
Select three ratios that are equivalent to 11:1. Choose 3 answers: A 1:11 B 22:2 55 : 5 9:99 110: 10
Answer:
22:2 55:5 110:10
Step-by-step explanation:
Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee that the shelf is 3 ft. long. Hadlee argue with her father and says, “No, the shelf is 36 inches long, not 3 ft.” Who is correct? Justify your thinking.
What is the slope of the line passing through the points (-3,4) and (2,-1)?
Answer:
m=-1 (m is the slope)
Step-by-step explanation:
m=y2-y1/x2-x1
m=-1-4/2+3
m=-5/5
m=-1
Question 16
A shipping box, in the shape of a cube, has a volume of 2.300 cubic inches. Estimate the length of the side of the shipping box to the nearest tenth
Answer:
2.300cb squred divide by 4 ull get .575
Step-by-step explanation:
Answer:
1.3
Step-by-step explanation:
First off, we know that volume = LxWxH
because this is a cube we know that L=W=H because all the sides are the same.
Now we set up the equation
[tex]x^{3} =2.3[/tex]
We can simplify by saying
[tex]\sqrt[3]{2.4}[/tex]
or we can put it in a calculator and get
1.320006...
to the nearest tenth
1.3
Use the following rules to graph and by label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane:
1. Maddy wrote a pattern for the
x coordinates starting at 3 and followed the rule “add 2.”
2. Ted wrote a pattern for all the y coordinates starting at 0 and followed the rule “add 4.”
Maddy's rule for obtaining the x-coordinate values and Ted's rule for
obtaining the y-coordinate values combine to form a linear graph.
Reasons:
Please find attached the graph with labelled ordered pairs created by Maddy's and Ted's rules.Method by which the graph is formedThe given rules used to graph the equations are;
Maddy's rule for the x-coordinate values = x + 2, where, x ≥ 3
Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0
Therefore, the following table of values can be generated;
[tex]\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right][/tex]
The first difference of the y-values is constant and the difference in the x-
values is also a constant, therefore, the data represents a linear function
and the graph is also linear.
Using the above table of values obtained from Maddy's and Ted's rules, the
graph of the ordered pair can be plotted by entering the values in MS
Excel spread sheet and using the insert Scatter plot function.
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