Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
The base area of a rectangular prism is 56 square feet. If the height of the prism is 3 feet, what is the total volume of the prism (in cubic feet)?
Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?
Answer:
The loss is $120 and the loss percentage is 8%.
Step-by-step explanation:
Given that,
SP of a car = $1,380
CP of a car = $1,500
As CP > SP, it means there is a loss in selling of that car.
Loss = CP - SP
= $1,500 - $1,380
= $120
Loss percentage,
[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]
Hence, the loss is $120 and the loss percentage is 8%.
PLEASE HELP QUICK PLS PLS PLSSSSS
4n = 2n+6 I really need help
PLEASE HELP FAST AND THANK YOU! AND NO LINKS!
Can 60°, 60°, 60° be the measures of an acute isosceles triangle?
Answer:
Yes
Step-by-step explanation:
Triangle angles have to add up to 180
Answer:
No
Step-by-step explanation:
isosceles triangle have two equal angle and one unequal angle.
the above triangle would be an acute equilateral triangle
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
Find the distance between the points. (-7,8) (7,8)
PLEASE H E L P.
Answer:
14
Step-by-step explanation:
Hope this Helps!!!!!
pls help with this, 6.09 Graded Assignment: Basic Geometric Shapes - Part 2
Answer:
Start: x = 141°
141° and x are alternate interior angles and congruent because the lines are parallel
Go left: x = 39°
39° and x are corresponding angles, and therefore congruent
Go down: x = 139°
180 - 41 = 139, the angle next to 41 and x are corresponding angles
Go left: x = 98°
180 - 82 = 98, the angle next to 82 and x are corresponding angles
Go down: x = 102°
102° and x are vertical angles and therefore congruent
Go right: x = 50°
180 - 130 = 50, the angle next to 130 and x are corresponding angles
Go down: x = 74°
corresponding angles
Go right: x = 83°
corresponding angles
Go right: x = 95°
corresponding angles
Go up: x = 18°
corresponding angles
Go left: x = 166°
180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)
I didn't get to finish but I'll attach something that may help you
PLEASE HELP!!!!!!!! GIVING BRAINLIEST, FIVE STAR RATING, AND A SHOUTOUT FOR MY NEXT QUESTION.
errrr.... the shoutout for this one is for purpl!
Answer:
the answer is 12 inches long
The product of seven plus two and eight minus two
Answer:
56
Step-by-step explanation:
type in calculator 7*((2+8)-2)
Part B if the height of each prism is 10 Cm what is the surface area prism
Answer:
Prism A:
[tex]Area = 288cm^2[/tex]
Prism B:
[tex]Area =250cm^2[/tex]
Step-by-step explanation:
Given
See attachment for prisms
[tex]Height(h) = 10cm[/tex]
Required
Determine the surface area of both prisms
Prism A is triangular and as such, the surface area is:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
Where
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
and
[tex]s = \frac{a + b + c}{2}[/tex]
Such that a, b and c are the lengths of the triangular sides of the prism.
From the attachment;
[tex]a = 8; b =6; c =10[/tex]
So, we have:
[tex]s = \frac{a + b + c}{2}[/tex]
[tex]s = \frac{8 + 6 + 10}{2}[/tex]
[tex]s = \frac{24}{2}[/tex]
[tex]s = 12[/tex]
Also:
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]
[tex]A_b = \sqrt{576}[/tex]
[tex]A_b = 24[/tex]
So:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]
[tex]Area = 288cm^2[/tex]
Prism B is a rectangular prism. So, the area is calculated as:
[tex]Area = 2 * (ab + bh + ah)[/tex]
From the attachment
[tex]a = b = 5[/tex]
[tex]h =10[/tex]
So:
[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]
[tex]Area =250cm^2[/tex]
helpppppppppppp pleaseeeeeeeeeeeeew
Answer:
volume of cylinder = πr^2h
=π (2)^2 * 5
= π* 4*5
= 20π unit^3
or
= 3.14* 4*5 = 62.8 unit^3
y = 5x + 4 and y =- 5x -6
Answer:
there you o plz can u mark me brainlest
Step-by-step explanation:
5x+4 -5x-6
m=5 m=-5
please help i need help
Answer:
78 I think
Step-by-step explanation:
simply look at the second and third wight see the pattern wich is 7.8 I think and subtract that from the first answer
Use the inequalities to answer the following question
Inequality 1: 2x + 7 < -3
Inequality 2: x – 8 + 3x < -4
Which of the following values make both inequalities TRUE? Select all that apply.
A.) 12
B.) 325
C.) –10
D.) 2/3
E.) –8.25
F.) -15/2
G.)–5
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
Somebody please help me. This is geometry. The goal is to find the missing side with A similarity statement. But the more I try on this, it becomes more confusing. Please help. Thx.
Answer:
50Step-by-step explanation:
Given:
qrst ~ nkpmThe ratio of corresponding sides (consider the order of letters in the name of figures):
rs/ kp = qt / nmrs / 35 = 60 / 42rs = 35*60/42rs = 50Answer:
Solution given:
qrst~nkpm
since the side of similar quadrilateral are proportional so
qt/mn=rs/kp
60/42=?/35
?=60/42×35=50
missing side =50 is your answer
(10x - 4)=20
Question: What value of x makes the equation true
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Answer:
Step-by-step explanation:
We can first solve for the face diagonal. That is [tex]\sqrt{(10^2+5^2)}[/tex]. Notice this will form a right triangle with the vertical side. We get that the face diagonal = [tex]\sqrt{125}[/tex]. Now, we can use Pythagorean theorem again to get the straw length:
[tex]s^2 = 9^2+\sqrt{125}^2[/tex] where s = the straw length.
We can solve that s = [tex]\sqrt{206}[/tex]
Given f(x) = 2x^2 - 3 and g(x) = x + 4.
What is (f g)(x)?
Answer:
2x³+8x²-3x-12
Step-by-step explanation:
It means function f times by function g.
so fg= (2x²-3)(x+4)=2x³+8x²-3x-12
Help!!!!!! Which function is best represented by this graph
Answer:j
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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form the largest and the smallest 4 digit numbers using each of the digits 9,1,0,5 only once
Answer:
smallest: 1059
largest: 9510
Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distribution with mean 75 grams and a standard deviation of 22 grams. Quality control inspectors randomly select 144 parts, weigh each, and then compute the sample average weight for the 144 parts. Find The probability that the mean weight of these 144 parts is more than 80 grams or less than 70 grams is (Round to two decimals throughout and write as a % to 2 decimal places)
Answer:
0.64%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 75 grams and a standard deviation of 22 grams.
This means that [tex]\mu = 75, \sigma = 22[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]
More than 80 or less than 70:
Both are the same distance from the mean, so we find one probability and multiply by 2.
The probability that it is less than 70 is the pvalue of Z when X = 70. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70 - 75}{1.8333}[/tex]
[tex]Z = -2.73[/tex]
[tex]Z = -2.73[/tex] has a pvalue of 0.0032
2*0.0032 = 0.0064.
0.0064*100% = 0.64%
The probability is 0.64%.
A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D
Students at the local university select majors in the same proportions as do students in the rest of the state.
Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
Step-by-step explanation:
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
These three side lengths make a triangle.
3 cm, 5 cm, 9 cm
A. True
B. False
Answer:
aa
Step-by-step explanation:
aaaaaaaaa i need points sorry
if the square is directly proportional to w and z =4 when w =8
Answer:
when you calculate the value of w is z= 5
Step-by-step explanation:
Which of the following is equivalent to the expression?
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
Brandon has four more than 3 times the amount of money that Dale has. Together they have $44. What equation represents this? How much money does Dale have? How much money does Brandon have?
Answer:
Equation: 4 + 3n. Dale's Money: $7.3¢ Brandon's money: $25.9¢Step-by-step explanation:
Equation
Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.
Dale's Money
Given: $44 in total
44 ÷ 2 (To know how much they have equally)
22
22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)
7.3
Therefore, Dale has $7.3¢
Brandon's money
Given: 4 + 3n. Dale has 7.3
Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)
21.9 (Then add four because Brandon has four more...)
25.9
Therefore, Brandon has $25.9¢
The amount that Brandon and Dale have is $34 and $10, respectively.
What is an equation?An equation is formed when two expressions are equated with each other with the help of an equal sign.
Let the amount of money that Brandon has be x, and Dale has be y.
As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is
[tex]x + y = \$44[/tex]
Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,
[tex]x = 4 + 3y[/tex]
Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,
[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]
Now, substitute the value of y in the second equation we get,
[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]
Hence, The amount that Brandon and Dale have is $34 and $10, respectively.
Learn more about Equation:
https://brainly.com/question/24944275
Select all the correct statements.
Answer:
C,D,E,F
Step-by-step explanation:
A amplitude is 2
B period is 4pi
Answer:
f option is write
Step-by-step explanation:
because it is true
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