Answer:
The answer is below
Step-by-step explanation:
The volume of a cuboid is the product of its length, height and breadth. It is given by:
Volume = length × breadth × height
Since the volume is given by the expression 12y² + 8y - 20. That is:
Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]
Volume = 4(y-1)(3y+5)
Or
Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]
Volume = 2(y-1)(6y+10)
Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10
Answer:
plz mark me as brainiest
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer:
The correct option is;
3 + (-9) = -6, because -6 is 9 units to the left of 3
Step-by-step explanation:
The given information are;
Kelvin's score after the first round is shown at point K on the number line
The range of numbers on the number line = -10 to +10
The position of point K after the first round = +3
The number of points Kevin lost in the second round = 9 points
Therefore, Kevin's cumulative score = +3 - 9 = -6
Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the least value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?
Answer:
RM3,500
Step-by-step explanation:
Salary=RM375 per week
5% commission per week
If she target a minimum of RM 550.
Let x=minimum Sales
RM550=RM375 + 5% of x
RM550=RM375 + 0.05x
RM550 - RM375=0.05x
RM175=0.05x
Divide both sides by 0.05
RM175/0.05=0.05x/0.05
RM3,500=x
For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.
Check:
5% of RM3,500
=0.05*3,500
=RM175
Plus
Salary of RM375
RM175 + RM375=RM550
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1
Answer:
B. 4/5
Step-by-step explanation:
Sin = Opposite/Hypotenuse
Sin∠A = 8/10 = 4/5
What does this mean? 20 points + brainleist! What other angle measures or side lengths can you determine using these added figures? List all the concepts and facts you use.
Step-by-step explanation:
The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.
by looking the fig we can determine various sides and angles as all are joined together.
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
ox²-1=0
Answer:
x² + 4x + 4 = 0
Step-by-step explanation:
x² + 4x + 4 = 0
( x + 2 )² = 0
x + 2 = 0
x = -2
x² + x = 0
x ( x + 1 ) = 0
x = 0 or x = -1
x² - 1 = 0
x² = 1
x = 1 or x = -1
Finding which number supports the idea that the rational numbers are dense in the real numbers.
Answer:A terminating decimal between -3.14 and -3.15.
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.
Work out the circumference of a circle with diameter 1.8 cm.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
The answer is
5.6 cmStep-by-step explanation:
Circumference of a circle( C) = πd
where d is the diameter
π = 3.142
From the question
d = 1.8cm
Substitute d = 1.8 into the above formula
Circumference of the circle is
3.142 × 1.8
= 5.6556
We have the final answer as
C = 5.6 cm to one decimal placeHope this helps you
witch numbers are domain -3 ,-2 ,-3 ,0 ,-1 ,2 ,1 ,2
Correct Presentation of Question
Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)
Answer:
Domain = {-3,-3,-1,1}
Step-by-step explanation:
Given
(-3,-2) (3,0)(-1,2)(1,2)
Required
Determine which numbers are domain
A function is always represented as thus (x,y) in this format (domain, range);
Tabulate the given data
x || y
-3 || -2
3 || 0
-1 || 2
1 || 2
The values under the x column are the domain;
Hence, the domain are {-3,-3,-1,1}
____________ show the frequency of data.
A. dot plots
B. bar graphs
C. all of these
D. line plots
Write in detail 5 goods that you get using money currency and 5 services that you can get using money currency.
The goods that money can buy include soap, bag, shoe, radio, television etc. The services that can be gotten include barbing, teaching, tailoring, catering, auditing etc.
Money is important in our everyday lives. We use money to make purchases of goods and it serves as a medium of exchange.
We can use money to buy goods like shoes, jewelry, radio, phone, bag, etc. When we need services such as barbing of our hair, teaching, tailoring, catering, auditing etc, we can make the purchase through money and the services will be given to us.
Read related link on:
https://brainly.com/question/11681948
Find the marked angle P
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
What is the length of segment AB?
Answer:
-1
Step-by-step explanation:
then the sum of the line come home x axis
-4+3=-1
Ivana wants to give books from her store to the local library. She needs to place 8 books in each box. If she has 1,125 books to give away, how many boxes will she need
Answer:
140.625
Step-by-step explanation:
1125 books, placed into 8 per boxes, 1125/8=140.625
I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Given points
(-4,3)(2,5)Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 6.2[/tex]
What is the 8th term for this sequence -3, -12, -48, -192,...
Answer:
-49152
Step-by-step explanation:
The pattern is:
multiply for 4
then:
-3, -12, -48, -192, -768, -3072, -12288, -49152
Joshua remembered he had a coupon in his pocket that would take and additional 30%off the price of the shirts. Calculate the new total cost of the shirts including a sales tax of 6.5%
Answer:
New cost of the shirt=$39.028416
Step-by-step explanation:
Target is having a Back to School sale where all polo shirts are discounted by 20%. Joshua wants to buy five shirts: two cost $10.98 each, one costs $11.50, and two others cost $15.99 each. Joshua remembered he had a coupon in his pocket that would take an additional 30% of the shirts. Which choice represents the new total cost of the shirts including the sales tax of 6.5%
Solution
Two shirts cost=$10.98 each
One shirt cost=$11.50
Two shirts cost=$15.99 each
Total cost of shirts=(2*$10.98 + $11.50 + 2*$15.99)
=$21.96 + $11.50 + $31.98
=$65.44
All polo shirts are discounted by 20%
It means he would pay 100%-20% of the total cost
100%-20%=80%
Discounted price=$65.44 * 80%
=$65.44 * 0.8
=$52.352
He has a coupon of 30% off the shirt
100% -30%=70%
=$52.352*70%
=$52.352 * 0.7
=$36.6464
Plus Sales tax of 6.5%
6.5% of $36.6464
=0.065* $36.6464
=$2.382016
New cost of the shirt=$36.6464 + $2.382016
=$39.028416
f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3
Answer:
B
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9[/tex]
And we want to find:
[tex]f(x) + g(x)[/tex]
Substitute:
[tex]= (8 - 4x - x^3) + (x^2 + 7x - 9)[/tex]
Rewrite:
[tex]= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)[/tex]
Combine like terms:
[tex]= -x^3 + x^2 +3x -1[/tex]
In conclusion:
[tex]f(x) + g(x) = -x^3 + x^2 +3x -1[/tex]
Hence, our answer is B.
A new Community Sports Complex is being built in Madision. The perimeter of the rectangular playing field is 324 yards The length of the field is 6 yards less than double the width What are the dimensions of the playing field?
Which correlation best describes the data below.
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
What is the correct answer to this multiple choice question? Please help!!!
Answer:
By translating the function cos(x) 90 degrees to the right.
Step-by-step explanation:
The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.
If you're wondering why the diagram shows a shift in
[tex]\pi / 2[/tex]
That's just the equivalent to 90 degrees in radians.
GIVING BRAINLY JUST ANSWER CORRECTLY !!
Answer:
b. never
Explanation:
A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).
A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.
3.
Find the inverse of A if it has one, or state that the inverse does not exist.
I can only give you the answer
Answer:
Hello,
Answer A
Step-by-step explanation:
See jointed file: Methode du compagnon
PLS HELP ME I WILL GUVE YOU BRAINLIST AND A THANK YOU!!!!!
Answer: 35
Step-by-step explanation:
If you take the three angles shown, it's total is 180
So take the two angles you know, and subtract them from 180
Now we have 100 left, and we can subtract 30 to be left with 2x.
Now divide what is left by two, which is 70
70/2=35
Answer:
x = 35
Step-by-step explanation:
So we know that a straight line is equal to 180 degrees. So from there we can add the two 40 degrees to get 80 degrees. Now we can solve for x. So 180 - 80 = 100
2x + 30 = 100
Subtract 30 from both sides
2x = 70
Divide both sides by 2
x = 35
Please help explanation if possible
Answer:
Step-by-step explanation:
X = 4 , Y = 8
this is because
(5 x 4) - ( 3 x 8) = -4
20 - 24 = -4
___________________________________________________________
so the answer is 4,8
Answer:
( − 2 , 2 )
Step-by-step explanation:
Add 2 x to both sides of the equation.
y = 6 + 2 x 5 x + 3 y = − 4
Replace all occurrences of y with 6 + 2 x in each equation.
Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x
Simplify the left side.
11 x + 18 = − 4 y = 6 + 2 x
Solve for x in the first equation.
x = − 2 y = 6 + 2 x
Replace all occurrences of x with − 2 in each equation.
y = 2 x = − 2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.
Point Form: ( − 2 , 2 )
Equation Form: x = − 2 , y = 2
96 is 30% of what number?
Step-by-step explanation:
If we substitue "what number" in the question "96 is 30 percent of what number?" with 320, we get this sentence: 96 is 30 percent of 320. Since this statement is true, we know that our answer is correct.
Positive numbers are not closed under subtraction. Give an example of this 1
below.
Answer:
5 -3 = 2
3-5 = -2
Step-by-step explanation:
In this question, we want to examine the validity of the statement by the use of an example.
Firstly, we need to understand the meaning of the fact that they are ‘closed’
By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.
Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.
What this means in terms of examples is as follows;
Consider two positive numbers, 5 and 3
Now we know that 5-3 = 2
To check if the closure property is obeyed, switch the place of the numbers.
This means we would have;
3-5 = -2
We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.
Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs. How many of each animal is on the farm?
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Use substitution to solve the following system of equations. What is the value of y?
Answer:
y = 6Step-by-step explanation:
Use the second equation:
2x - y = 2 ⇒ y = 2x - 2Substitute this into first equation:
3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4Now find y:
y = 2*4 - 2 y = 8 - 2y = 6It is given that,
→ 2x - y = 2
Convert the equation as,
→ y = 2x - 2
First we should,
find the required value of x.
→ 3x + 4(2x - 2) = 36
→ 3x + 8x - 8 = 36
→ 11x = 44
→ [x = 4]
Let's find the required value of y,
→ y = 2x - 2
→ y = (2 × 4) - 2
→ y = 8 - 2
→ [y = 6]
Therefore, the value of y is 6.