The table below lists four potential investments. The time for all of the investments is 5 years, and compound interest is compounded annually.
Which investment produces the most interest?
Answer:
Investement P
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below?
p^3 - 125q^3
A. (p - 5q)(p^2 + 5pq + 25q^2)
B. (p - 25q)(p^2 + 25pq + 25q^2)
C. (p^2 + 10q)(p^3 + 25pq + 5q^2)
D. The polynomial is irreducible.
The correct factored form of the expression p³ - 125q³ is,
(p - 5q)(p² + 5pq + 25q²).
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
We know, a³ - b³ = (a - b)(a² + ab + b²).
Given, An expression p³ - 125q³.
= p³ - (5q)³.
= (p - 5q)(p² + p.5q + (5q)²).
= (p - 5q)(p² + 5pq + 25q²).
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[90 POINTS] An air conditioning system needed for a new warehouse is built in the shape of a rectangular prism. The warehouse is 250 feet long, 125 feet wide, and 22 feet high. A one-ton air conditioning unit can cool 12,000 cubic feet.
What is the volume of the warehouse, and what size air conditioner is needed?
Answer:
The warehouse has 31,250 cubic feet of space.
The air conditioner has to be at least 55 tons.
Answer:
687,500 for first blank
60 tons for second blank
Step-by-step explanation:
It is correct on edmentum
Which economic system has no government involvement in the market?
a capitalism
.. communism
C. socialism
l. No economic system is free from government involvement.
Please select the best answer from the choices provided
Answer: I.
Step-by-step explanation:
Capitalism is clearly not the answer. Capitalist governments such as America have their fingers into the economic trading.
Socialism and Communism sound plausible, but Communism is giving people money by their work, and Socialism is everything is owned by the public. Both still involve themselves in markets, so the answer is I
Answer:
d.
No economic system is free from government involvement.
Step-by-step explanation:
Please help quick!
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
Enter numbers to evaluate −5−(−7).
‐5 –(‐7)= ‐5 + _______
= ________
Enter numbers to evaluate −5−7.
‐5− 7 = ‐5 + _______
= ________
Answer:
First space: 7
second space: 2
third space: -7
last space: -12
Step-by-step explanation:
To subtract, use "Add the opposite". In the problem the minus has aready been changed to adding, so you just change the second number (-7 in the first part or 7 in the second part) to their opposite sign. see image.
PLEASE HELP WILL MARK BRAINLIEST!!
The perimeter of the rectangle is 104 ft.
2x+4
X
What is the length and width
Answer:
x=16ft 2x+4=36
Step-by-step explanation:
perimeter o rectangle=2(l+b)
2(2x+4+x)=104
4x+8+2x=104
x=16ft,2x+4=36ft
What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868
Answer:
range = 27
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest = 95 , smallest = 68
range = 95 - 68 = 27
Answer:
46
Step-by-step explanation:
help omggg help omgg
Answer:
Θ = 84°
Step-by-step explanation:
using the identity
cosx = sin(90 - x) , then
cos6° = sin(90 - 6)° = sin84°
that is Θ = 84°
if sin = 3/5, than cos =
Answer:
cos θ = 4/5
Explanation given below in the image,
I hope my answer helps you.
For this question, I solve Q.1, but I cannot solve Q2.
Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.
Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.
The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p-value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
Let we take:
X = The balance of a person’s bank account in Superior, WI
Then, by the given data, we have:
[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]
Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.
Symbolically, we have:
[tex]P(X < x) = 80\% = 0.8[/tex]
Converting X to standard normal variate Z, we have:
[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]
Thus, the probability statement can be rewritten as:
[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]
From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.
Thus, we get:
[tex]P(Z < z = 0.845) \approx 0.8[/tex]
Thus, we get:
[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.
Now, for second question, we need:
The probability a random person from Superior has less than $400 or more than $1000 in their bank account.
So, income of a random person from Superior is a random value of X.
So, this probability is written as:
[tex]P(400 < X < 1000)[/tex]
Rewritting it, we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]
Converting X to Z (standard normal variate), we get:
[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]
The p-value for Z = 3.36 is 0.9996
The p-value for Z = -1.44 is 0.0749
Thus, we get:
[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]
Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247
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The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals
Answer:
Negative Reciprocals
Step-by-step explanation:
Consider two slopes being perpendicular to each other:
[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]
You will either receive:
[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]
or:
[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]
Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:
[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]
Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.
Hence, they are indeed reciprocal but also negative as well.
The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function?
A) f(x) = 1/2x^2-5x+21/2
B) f(x) = 1/2(x-3)(x-7)
C) f(x) = 1/2(x-5)^2-2
Write one of the zeroes
pls help im sorry this looks so messy
Find the value of x. Round your answer to the nearest tenth
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What is the area, in square meters, of the shaded part of the rectangle shown below?
There was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat
Answer:
1/3
Step-by-step explanation:
This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.
Finish the polynomial by adding one number to make it a perfect square
x^2+18x+
Answer:
81
Step-by-step explanation:
[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]
[tex] {x}^{2} + 18x + {9}^{2} [/tex]
[tex] {x}^{2} + 18x + 81[/tex]
[tex] {(x + 9)}^{2} [/tex]
80 people enter a single-elimination chess tournament. (If you lose one game, you're out.) Assuming no ties occur, what is the number of games required to determine the tournament champion?
Answer:
Forty games
Step-by-step explanation:
80 ÷ 2 = 40
40 games are required
Type The Correct Answer,
Answer:
0.72 meters
Step-by-step explanation:
by dividing 6.48 by 9, we get 0.72 meters
Answer:
here
Step-by-step explanation:
Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11
Answer:
1, 5
Step-by-step explanation:
I may be a little wrong but;
Multiply it by 3 and 4-
-12x+9y=-51
12x-16y=44
-7y=-7
y=1
x=5
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
Are physical activities becoming safer or more dangerous
The mean amount of money Sadie saves each month is $10,724.29.
What is the mean amount of money saved each month?
Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 = $10,724.29.
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15/2 + 13/8+ 14/4+ 2/1+52/8+36/4=
Answer:
30.125
the answer is 30.125 so that is the answer of this question
Please I really need help
Answer:
NM = 17, LY = 5, m<NLY = 53.13 degrees, m<NMY = 28.07 degrees
Step-by-step explanation:
To solve for NM, you just use the Pythagorean theorem,
[tex]8^{2} + 15^{2} = x^{2}[/tex]
64 + 225 = [tex]x^{2}[/tex]
289 = [tex]x^{2}[/tex]
[tex]17 = x[/tex]
To solve for LY, you can use geometric mean,
[tex]\frac{10}{y} = \frac{15+y}{10}\\\\100 = 15y + y^{2} \\y^{2} +15y - 100 = 0\\(y+20)(y-5) = 0\\y= 5[/tex]
To solve for the other angles, use the inverse.
Sin-1, = 8/10
= 53.13
Other angle =
Tan-1 = 8/15
= 28.07
Hope this helps, I put a lot of time into this :)
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).
a = and b =
The value of a is equal to 3 and the value of b is equal to 4.
Complex Number
A Complex Number is represented by z=a+bi, where:
a= real part
bi= imaginary number
b= imaginary part
i= [tex]\sqrt{-1}[/tex], therefore i²= -1
For solving this question, you should solve the product (-11 + 5i) * (1 – i). After that, you should compare the previous results with the result for expression ( (a + bi)* (2 + 3i) )-i. From this comparison, using the linear system you will find the variables a and b.
Step 1 - Solve the product (-11 + 5i) * (1 – i)(-11 + 5i) * (1 – i)=
-11 +11i +5i -5i²
-11 +16i -5i², as i²= -1 you can rewrite
-11 +16i -5(-1)
-11 +16i +5
-6+16i
Then,
(-11 + 5i) * (1 – i)= -6+16i
Step 2 - Simplify the expression ( (a + bi)* (2 + 3i) )-i( (a + bi)* (2 + 3i) )-i
(2a+3ai +2bi +3bi²) -i, as i²= -1 you can rewrite
(2a+3ai +2bi +3b(-1)) -i
(2a+3ai +2bi -3b) -i
( (2a-3b) + i(3a +2b) ) -i ,
For adding complex numbers, you must add or subtract the corresponding real and imaginary parts. Thus, you will have:
(2a-3b) + i(3a +2b-1)
Then,
( (a + bi)* (2 + 3i) )-i= (2a-3b) + i(3a +2b-1)
Step 3 - Identify real and imaginary parts for previous results
For (-11 + 5i) * (1 – i)= -6+16i
real part = -6
imaginary part = 16
For ( (a + bi)* (2 + 3i) )-i= (2a-3b) + i(3a +2b-1)
real part = 2a-3b
imaginary part = 3a +2b-1
Step 4 - Construct a linear system from real and imaginary parts2a-3b= -6
3a +2b-1=16, you can rewrite as 3a +2b=17.
Thus the system will be:
[tex]\begin{bmatrix}2a-3b=-6\\ 3a+2b=17\end{bmatrix}[/tex]
Step 5 - Solving the linear system
2a-3b=-6 (1)
3a+2b=17 (2)
Multiplying equation 1 by 2 and equation 2 by 3, you can rewrite as:
4a-6b= -12
9a+6b=51
Sum the equations
4a-6b+9a+6b= -12 +51
13a= 39
a=39/13=3
Replacing the value of a=3 in equation 1, you can find b.
2a-3b=-6 (1)
2*3-3b= -6
6 -3b = -6
-3b = -6 -6
-3b= -12
b= -12/-3 = 4
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Which coordinates best represents the vertex of the graph first correct answer gets Brianliest
Answer:
The vertex of the graph is:
the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwardsAs this parabola opens upwards, the vertex is the minimum point.
From inspection of the graph, vertex = (-3, -1)
Equation of the graph
From inspection we can see that the x-intercepts are when
x = -4 and x = -2
[tex]\sf x = -4 \implies x+4=0[/tex]
[tex]\sf x = -2 \implies x+2=0[/tex]
Therefore:
[tex]\sf y=(x+4)(x+2)[/tex]
Expand:
[tex]\sf \implies y=x^2+6x+8[/tex]
Answer:
[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]
Step-by-step explanation:
Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,
We can move it up or down by adding a constant to the y-valuealgebraically
g(x)=x²+CClearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to
f(x)=x²-1secondly, we know that,
We can move it left or right by adding a constant to the x-valuealgebraically,
g(x)=(x+C)²in case,
C is positive, g(x) moves to the left and vise versaSince the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes
[tex]f(x) = (x + 3 {)}^{2} - 1[/tex]simplifying it yields:
[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]
Hence,B is our required answer
Find SU, TU, and ST.
Answer:
SU=6
TU=6
ST=12
Step-by-step explanation:
SU and TU are equal because their hypotenuses are equal (10).
With this knowledge, you know that 2x+2=3x.
Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).
multiplication problem
Answer:
No, that is incorrect.
When doing a multiplication problem, you cannot simply take out a number from a number and expect the same result. This is under some circumstances. Let's solve the equations to see the results.[tex]21 * 34 = 714\\20 * 35 = 700[/tex]
As shown in the expressions, the results differ, proving our theory from earlier.__________________________________________________________
Questions?Ask me in the comments box, please.
Smith has p small balloons and 20 big balloons write the expression that shows how many balloons smith has?
Smith's balloon is an algebraic expression
The expression that represents how many Balloons Smith has is p + 20
How to determine the number of ballons?The given parameters are:
Small = p
Big = 20
Add the number of small and big ballons to get the total number of ballons
Total = Small + Big
This gives
Total = p + 20
Hence, the expression that represents how many Balloons Smith has is p + 20
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Jordan has a part-time job selling candy. He works 3 hours each day. The function p(x) = 12 + 2x models his daily earnings, where x is the number of candies he sells during the day. Jordan sells 10 to 23 candies per day. Which interval contains all of the values in the range of the function?
The interval contains all of the values in the range of the function 32 to 58 dollars.
How to find the ranges of the function?The function is as follows:
p(x) = 12 + 2x
where
x = number of candies sold during the day.He sells 10 to 23 candies per day.
Therefore,
x = 10 and x = 23
Hence,
p(10) = 12 + 2(10) = 12 + 20 = 32
p(23) = 12 + 2(23) = 12 + 46 = 58
Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.
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