Answer:
The GCF of following literal terms is [tex]m^1n^4p^3[/tex].
Step-by-step explanation:
The given literal terms are
[tex]m^7n^4p^3[/tex]
[tex]m^1n^{12}p^5[/tex]
The factored form of the given terms are
[tex]m^7n^4p^3=m\times m\times m\times m\times m\times m\times m\times n\times n\times n\times n\times p\times p\times p[/tex]
[tex]mn^{12}p^5=m\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times p\times p\times p\times p\times p[/tex]
The common factors are m,n,n,n,n,p,p,p. So, the G.greatest common factors is
[tex]GCF=m\times n\times n\times n\times n\times p\times p\times p[/tex]
[tex]GCF=m^1n^4p^3[/tex]
Therefore the GCF of following literal terms is [tex]m^1n^4p^3[/tex].
Look at the table below showing an example of a checkbook ledger. Malcolm has several receipts from recent transactions that he entered in his records. The receipts include an ATM receipt for an $80.00 deposit, a grocery store receipt for $25.50, and a paycheck deposit slip for $650.00. When he finishes entering his transactions, Malcolm realizes that his balance is incorrect. Assuming that Malcolm had no beginning balance, what should his correct balance be? $624.50 $704.50 $755.50 $784.50
Answer:
I just took this quiz and the answer is B:$704.50
Step-by-step explanation:
Edg 2022
Answers...........................?
Elijah played in a golf tournament. For the first three days he averaged a score of -2. On the fourth day he shot a +2. What was his average for all four days?
Solve the system shown.
solve for x in the equation x^2+10x+12=36
Answer: The required value of x is 2 or -12.
Step-by-step explanation: We are given to solve for x in the following equation :
[tex]x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be solving the given equation by the method of factorization.
From equation (i), we have
[tex]x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x-2)(x+12)=0\\\\\Rightarrow x-2=0,~~~~~~x+12=0\\\\\Rightarrow x=2,~-12.[/tex]
Thus, the required value of x is 2 or -12.
Do 1.5 cm, 3 cm, 1.5 cm make a triangle and what kind
The lengths 1.5 cm, 3 cm, and 1.5 cm cannot form a triangle because the sum of the lengths of the two shorter sides is equal to the length of the longest side, which does not satisfy the Triangle Inequality Theorem.
The question asks if lengths 1.5 cm, 3 cm, and 1.5 cm can form a triangle, and if so, what kind of triangle it would be. To determine whether these lengths can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For these lengths:
1.5 cm + 1.5 cm = 3 cm1.5 cm + 3 cm > 1.5 cm1.5 cm + 3 cm > 1.5 cmWe see that when we add the lengths of the two shorter sides (1.5 cm + 1.5 cm), it equals the length of the longest side (3 cm). According to the Triangle Inequality Theorem, the lengths do not meet the condition for forming a triangle because the sum must be greater than, not equal to, the length of the third side. Therefore, these lengths cannot form a triangle.
A $6,000.00 principal earns 8% annual interest, compounded semiannually (twice per year). After 35 years, what is the balance in the account?
A. $22,800.00
B. $39,600.00
C. $88,712.07
D. $93,429.71
Answer:
After 35 years balance in the account = $93429.71
Explanation:
We will applying the compound interest formula.
A = [tex] P(1 +\frac{r}{n})^{nt} [/tex]
Where,
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years
Given that,
P = $6000
r = 8% = [tex] \frac{8}{100} [/tex] = 0.08
n = 2 (because of twice in a year)
t = 35 years
[tex] A= 6000(1 + \frac{0.08}{2}) ^{2*35} [/tex]
A = 6000[tex] (1.04)^{70} [/tex]
A= $93429.71 (Option D)
help me please asap ill mark brainliest nd plz be correct
(50 points)
What is the product of -2x^3+x-5 and x^3-3x-4?
Is the product of -2x^3+x-5 and x^3-3x-4 equal to the product of x^3-3x-4 and -2x^3+x-5 explain your answer.
Answer:Yes, the products are equal because of commutativity. To find the product, use distributive law. Just simplify the below:
-2x^3(x^3-3x-4) + x(x^3-3x-4) - 5(x^3-3x-4)
Step-by-step explanation:
What statement is true about the polynomial
What is 5/15 written as a decimal???
What is 4/15 written as a decimal???
What is 3/15 written as a decimal???
Need quick help please?! Using the Angle Bisector Theorem solve for x.
Show all work.
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
We have been given a triangle and we are asked to solve for x using angle bisector theorem.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side of triangle into segments that are proportional to the other two sides.
Using angle bisector theorem we can set an equation as:
[tex]\frac{4x+1}{5}=\frac{15}{3}[/tex]
Let us solve for x by multiplying both sides of our equation by 5.
[tex]\frac{4x+1}{5}*5=\frac{15}{3}*5[/tex]
[tex]4x+1=5*5[/tex]
[tex]4x+1=25[/tex]
Let us subtract 1 form both sides of our equation.
[tex]4x+1-1=25-1[/tex]
[tex]4x=24[/tex]
Upon dividing both sides of our equation by 4 we will get,
[tex]\frac{4x}{4}=\frac{24}{4}[/tex]
[tex]x=6[/tex]
Therefore, the value of x is 6 units.
How to multiply fractions by a number with an exponent?
I WILL GIVE BRAINLIEST, PLS HELP-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
Enter your answer in the box.
ft²
helpppppppppppppppppppppppppppppppp
WILL MARK AS BRAINLIEST!!
What is the value of x?
Need help fast!
one face of a cube an area of 49 square centimeters. what is the volume of the cube
Force exerted by the ball on the kickers foot.
Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which lengths could he use for the radius? Check all that apply.
Answer:
The length of the radius must be less than [tex]2[/tex]
[tex]\frac{1}{2},1,1.5[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
where r is the radius of the circle
In this problem we have that
[tex]C > A[/tex]
Substitute
[tex]2\pi r > \pi r^{2}[/tex]
Simplify
[tex]2r > r^{2}[/tex]
[tex]2> r[/tex] ------> rewrite
[tex] r< 2\ units [/tex]
The length of the radius must be less than [tex]2[/tex]
the answer is
[tex]\frac{1}{2},1,1.5[/tex]
Roderick select the length of radius, for keeping the value of circumference of the circle greater than the value of its area, should be 1/2,1 and 1.5. Thus the option A, B and C is the correct option.
What is circumference and area of the circle?Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Given information-
Roderick wants to draw a circle.
The circumference of the circle must be greater than the area of the circle.
The circumference of the circle having radius equal to [tex]r[/tex] units can be given as,
[tex]P=2\pi r[/tex]
The area of the circle having radius equal to [tex]r[/tex] units can be given as,
[tex]A=\pi r^2[/tex]
Now as Roderick wants to draw a circle in which, the circumference of the circle must be greater than the area of the circle. Thus,
[tex]P>A[/tex]
Put the values as,
[tex]2\pi r>\pi r^2\\2r>r^2\\2>r[/tex]
Thus the value of the radius of Roderick circle must be less than the number 2.
Number 1/2 , 1, and 1.5 is less than the number two.
Thus, Roderick select the length of radius, for keeping the value of circumference of the circle greater than the value of its area, should be 1/2,1 and 1.5. Thus the option A, B and C is the correct option.
Learn more about the circumference and area of the circle here;
https://brainly.com/question/402655
Given that (7,-4) is on the graph of f(x), find the corresponding point for the function f(x+4)
Final answer:
To find the corresponding point of a function after transformation, substitute the given point into the transformed function.
Explanation:
Given: (7, -4) is on the graph of f(x).
To find: The corresponding point for the function f(x+4).
Solution:
Substitute x+4 into the function f(x) to get the new function f(x+4).
Substitute x=3 into f(x+4) to find the corresponding point.
Therefore, the corresponding point for f(x+4) is (3, -4).
Quadrilateral ABCD is inscribed in this circle. what is the measure of angle C?
How can Brady use fraction strips to show that 3 4 and 7 8 are NOT equivalent?
To demonstrate that 3/4 and 7/8 are not equivalent, Brady can use fraction strips to visually compare the colored portions of the strips, which will clearly show that 7/8 is greater than 3/4 as it has more colored sections.
Explanation:To show that 3/4 and 7/8 are not equivalent using fraction strips, Brady can follow these steps:
Take one strip and divide it into four equal parts to represent the fraction 3/4. Color three of these parts.Take another strip, divide it into eight equal parts to represent the fraction 7/8, and color seven of these parts.Compare the two colored strips side by side.Brady will observe that the strip representing 7/8 has more colored sections than the strip representing 3/4, even though the strips are the same length. This visual comparison confirms that 3/4 is less than 7/8, thus they are not equivalent fractions. The fraction 7/8 is only one-eighth away from being a whole, whereas 3/4 is one-fourth away.
insert <,>,or = or make the sentence true.sqrt(3)__sqrt(7)
In a homicide case 33 different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all 33 witnesses would pick the same person. round to seven decimal places.
Final answer:
The probability that Nancy is a robber given Bob's identification is around 33.2%, considering Bob's accuracy and the base rate of robbers in the population.
Explanation:
Probability Calculation:
To find the probability that Nancy is a robber given Bob's identification, we use Bayes' Theorem. Given that Bob is 99% accurate in identifying suspects, the calculation reveals that the probability that Nancy is a robber is around 33.2%.
Base Rate Fallacy: It is crucial to consider the base rate of robbers in the population to avoid common statistical errors in interpreting the probability of an event.
Which concept can be used to prove that the diagonals of a parallelogram bisect each other?
a)congruent triangles
b)similar triangles
c)congruent rectangles
d)similar rectangles
Answer: Jiren is too strong. (congruent triangles)
Answer:
Option: A is correct (congruent triangles)
Step-by-step explanation:
To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:
Angle DBA is congruent to angle BDC. Angle CMD is congruent to angle AMB. Triangle CMD is congruent to triangle AMB. Segment AM is congruent to segment MC. M is the midpoint of segment AC. Segment BD bisects segment AC. Segment BM is congruent to segment MD. M is the midpoint of segment BD. Segment AC bisects segment BD.Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.
Hence, option A is correct
please helm me
A circular piece of metal has a radius of 3.5 meters.
The metal sells for $3.25 per square meter.
What is the total cost of the circular piece of metal?
A.
$11.38
B.
$38.47
C.
$71.44
D.
$125.01,
Answer:
The answer would be $125.01
Step-by-step explanation:
I took the test.
What is the solution to the proportion? Start Fraction 3 y minus 8 over 12 End fraction equals start fraction y over 5 End Fraction?
Answer:
1.78
Step-by-step explanation:
To solve for x we need to cross multiply it
We have = sign in between the fractions so we cross multiply it
9*x = 2* 8
9x = 16
Now we divide by 9 on both sides
so x= 1.7777777778
When we round to two decimal places then
x= 1.78
A solid is composed of squares and equilateral triangles. Its net is shown below:
The area of each triangle is 1.5 square units. The surface area of the triangular prism is _____ square units. (Input whole number only.)
Answer:
So I am going one is kind of the same but it says six units and then it says the area of each triangle is 16 square units and I was trying to follow the step-by-step explanation from somebody else and I got 52 but I don’t know if I did that right
Step-by-step explanation:
Is 67.714813 rational or irrational?
Why is it most logical to let x represent Dianna’s current age?
Diannas current age is what your being asked to find
Diannas age is the unknown in the problem
The given relatioships can be written in terms of diannas current age