Answer:
Number the boxes on the left 1–8 from top to bottom. Then their correct order on the right is 3, 7, 8, 4, 6, 5, 2, 1
Step-by-step explanation:
Trade the cube root for a 1/3 power:
(875x^5y^9)^(1/3)
Distribute the 1/3 power:
(125·7)^(1/3)·x^(5/3)·y^(9/3)
Further distribute the powers, rewrite the improper fractions:
125^(1/3)·7^(1/3)·x^(3/3+2/3)·y^3
Write 125 as a cube and simplify 3/3:
(5^3)^(1/3)·7^(1/3)·x^(1+2/3)·y^3
Simplify the cube root of a cube and the x term:
5·7^(1/3)·x·x^(2/3)·y^3
Group the terms with fractional exponents:
5·x·y^3·(7^(1/3)·x^(2/3))
Factor out the 1/3 exponent:
5xy^3·(7x^2)^(1/3)
Trade the 1/3 exponent for a cube root symbol:
5xy^3·∛(7x^2)
The table below models the cost, y, of using a high-efficiency washing machine and a standard washing machine over x number of years.
Answer:
i) y = 25x + 500
ii) y = 30x + 400
iii) The washing machines would cost the same amount after 20 years of use
iv) Standard machine
Step-by-step explanation:
i)
We are to determine a straight line equation that models the cost of High-Efficiency washing machine over the years;
The first step step is to determine the slope of the line,
( change in y) / ( change in x ) = (550 - 525) / ( 2 - 1) = 25
The equation is slope-intercept form will be;
y = 25x + c
Where y is the cost of the High-Efficiency washing machine and x the number of years. To determine the y-intercept, c, we use any pair of points given in the data table;
when x = 1, y = 525
525 = 25(1) + c
c = 500
Therefore;
y = 25x + 500
ii)
The straight line equation that models the cost of Standard washing machine over the years;
Slope = (460 - 430) / (2 - 1) = 30
The equation is slope-intercept form will be;
y = 30x + c
when x = 1, y = 430
430 = 30(1) + c
c = 400
Therefore;
y = 30x + 400
Where y is the cost of the standard washing machine and x the number of years.
iii)
Given the cost functions for both machines over the number of years, we simply equate the two equations and determine the value of x when both machines would cost the same amount;
We have the cost functions;
y = 25x + 500
y = 30x + 400
Equating the two and solving for x;
25x + 500 = 30x + 400
500 - 400 = 30x - 25x
100 = 5x
x = 20
Therefore, the washing machines would cost the same amount after 20 years of use.
iv)
In order to determine which machine would be the more practical purchase if kept for 9 years we use the cost functions obtained in i) and ii)
The cost function of the High-Efficiency washing machine is;
y = 25x + 500
To determine the cost, we solve for y given x = 9
y = 25(9) + 500
y = 725
The cost function of the Standard washing machine is;
y = 30x + 400
We solve for y given x = 9
y = 30(9) + 400
y = 670
Comparing the two values obtained, the cost for the Standard washing machine is more practical.
1) y=25x+500
2) y=30x+400
3) 20
4) standard machine
Polygon abc is dilated, rotated and translated to form polygon a’b’c’d. The endpoint of ab at (0,-7) and (8,8), and the endpoint of ab are (6,-6) and (
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
What’s the answer
1 and 2 pleaseeeee!!!!
Answer:
1. There would only be a line that passes through 4 from left to right indicating the y value always being y.
2. For every time x increase by 3 the y value would increase by 1. Ex: (1,1/3),(2,2/3), (3,1)
Step-by-step explanation:
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Write your answer as an expression.
Answer:
Each pan of brownies had [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips
Explanation:
Savannah originally had 400 chocolate chips
Now, she saved x chocolate chips for garnish
This means that the amount she originally had decreased by x
Savannah now has 400-x chocolate chips to use for brownies
She divided this amount evenly into three pans. This means that the amount in each pan will be equal to the amount she has now divided by 3
This means that:
Each pan got [tex]\frac{400-x}{3} = \frac{400}{3}-\frac{x}{3}[/tex] chips
Hope this helps :)
someone please help me this is due tomorrow!!!
Let me know if you can see this photo
Which of the following is a rational number?
A.√10
B.√100
C.√1000
D.√10000
im not sure but I think it is b
There are two rational numbers on that list.
B. √100 = +10 and -10
D. √10,000 = +100 and -100
The measure of the angles of triangle ABC are given by the expressions in the table.
A) 48°
B) (6x-28)°
C) (2x)° find the value of x. then find the measures of angles B and C.
enter your answers in the boxes.
x=__
m>B=__°
m>C=__°
Answer:
x = 20
B = 92
C = 40
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
A+B+C = 180
48+6x-28+2x = 180
Combine like terms
20+8x =180
Subtract 20 from each side
20+8x-20 = 180-20
8x = 160
Divide each side by 8
8x/8 = 160/8
x = 20
Then we need to find angle B
B = 6x-28 = 6(20)-28 = 120-28 =92
Then we need to find angle C
C = 2x = 2(20) = 40
Answer:
x=20
m>B=92
m>C=40
Step-by-step explanation:
the angles in a triangle add up to 180
48+6x-28+2x=180
6x+2x-28=132
6x+2x=160
8x=160
x=20
6(20)-28
120-28=92
2(20)=40
which set of ordered pairs ia a function
For something to be a function, an input (x value) can only have ONE output (y value)
For example:
(2 ,4)
(2, 5) This is not a function because the input has multiple outputs.
So your answer is the 1st option
What is the value of x to the nearest tenth?
First make a triangle by connecting the center point of the circle to one of the end points of the chord.
This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.
Since one of the legs of the right triangle is half the chord, divide the chord in to two.
9.6 / 2 = 4.8
Now we can calculate for the hypotenuse.
Pythagorean theorem states that a²+b² = c²
So
√2.4² + 4.8² = c
√5.76 + 23.04 = c
√28.8 = c
5.4 = c
C is the hypotenuse and the hypotenuse is known as the radius of the circle.
So the radius is 5.4
The value of x can be any number between 1.5 to 4.5. Some translations imply that 'x' is being used in scientific notation or being adjusted by standard deviations in statistical calculations. Furthermore, finding 'x' in equations could result in more than one solution.
Explanation:The question is about finding the value of x, which is a mathematical variable. Without a proper equation or context, it is not possible to determine the specific value of x. However, some details were given, stating '1.5 ≤ x ≤ 4.5', meaning that the value of x can be any number between 1.5 and 4.5. Additionally, the concept of scientific notation or exponential notation appears in the data provided ('x x 10¹'). This can help express very large or small numbers in a simplified form. For instance, if 'x' is 8.4 and '10¹' indicates we have 14 placeholder zeros, the actual measurement value would be 8.4 followed by 14 digits (840,000,000,000,000).
Furthermore, the question has hints of statistics, shown when 'x' is increased and decreased by standard deviations, which are instructions to calculate different characteristic values from certain distributions (e.g., '(x + 1s)').
Remember that solving equations may result in more than one solution, pointing out the characteristic of quadratic equations that give two solutions. And finally, dividing and multiplying by powers of 10 simply means shifting decimal points right or left respectively, according to the number of zeros in the power of ten.
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The prism below is made of cubes which measure 1/2 of an inch on one side. What is the volume?
a. 11/2 cubic in
b. 40 cubic in.
c. 5 cubic in.
d. 20 cubic in
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
The volume of the rectangular prism will be 5 cubic inches. Then the correct option is C.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The prism below is made of cubes that measure 1/2 of an inch on one side.
The dimension will be
L = 2 x 1/2 = 1 inch
W = 5 x 1/2 = 2.5 inches
H = 4 x 1/2 = 2 inches
Then the volume of the rectangular prism will be
V = 1 x 2.5 x 2
V = 5 cubic inches
Then the correct option is C.
More about the volume of the prism link is given below.
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what is 0.00025 in scientific notation
Answer:
It would be written as: 2.5 x 10^-4.
explanation:
This is because you must have one number in front of the decimal point in scientific notation and to do that you must move it back four spaces. I hope that helps!
Answer:
= 2.5 × 10-4
Step-by-step explanation:
That's all there is to know right???
A cleaning crew can clean 5 offices in 6 hours. How many offices can they clran in 12 hours
5 in 6
10 in 12
in 12 hrs they can clean 10 offices.
Answer:
5 in 6
10 in 12
in 12 hrs they can clean 10 offices.
pls make this the brainliest
hope this helps
Is the answer Quadratic.
Answer:
It is a quadratic equation because the equation is a quadratic polynomial set equal to zero. The polynomial is quadratic because the term with highest degree, the x^2 term, has degree 2.
please help!!!!!!!!!!!!!
the square root of 121, because when rationalized its 11.
square root 121
150 square root is 12.247....
98 square root is 9.899....
164 square root is 12.806....
when 121 is square root it’s 11 so square root 121 is the answer
What is the perimeter of square ABCD?
Answer:
do you have a picture to help me answer the problem?
Step-by-step explanation:
Answer:
B On Egen, 4 root 37
Step-by-step explanation:
5.7e+ 11.8= 1.3e + 29.4 solve as equations
Answer:
e=4
Step-by-step explanation:
5.7e + 11.8 = 1.3e + 29.4
-1.3e -1.3e
4.4e + 11.8 = 29.4
-11.8 -11.8
4.4e/4.4 = 17.6/4.4
e = 0.25
Or
e = 4
what is 3/4 x 1/2=?
Answer:
3/8Step-by-step explanation:
[tex]\dfrac{3}{4}\times\dfrac{1}{2}=\dfrac{3\times1}{4\times2}=\dfrac{3}{8}[/tex]
I need to explain and answer questions #3 #4 and #5 i will give brainliest!
Send a picture so I can get the problem
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches. The area of each parallelogram is square inches. The area of the carpet is square inches. HELP BRAINLIEST
The area of each parallelogram is 240 square inches, and the area of the carpet is 2,160 square inches.
The area of each parallelogramThe dimension of the parallelograms is given as:
Base = 12 inches
Height = 20 inches
The area of the parallelograms is calculated as:
Area = Base * Height
So, we have:
Area = 12 * 20
Area = 240 square inches
The area of the carpetThe area of each parallelogram is calculated as:
Area = 240 square inches
The number of parallelograms is given as:
n = 9
So, the area of the carpet is:
Carpet = 9 * 240 square inches
Evaluate
Carpet = 2160 square inches
Hence, the area of the carpet is 2160 square inches
Read more about areas at:
https://brainly.com/question/14137384
Final answer:
To find the total area of Patty's carpet, multiply the area of one parallelogram (base 12 inches, height 20 inches) by the number of parallelograms (9), resulting in a total area of 2160 square inches.
Explanation:
To calculate the area of a parallelogram, the formula is base times height. In the given question, each parallelogram has a base of 12 inches and a height of 20 inches.
So, the area of one parallelogram is:
Area = Base × Height = 12 inches × 20 inches = 240 square inches.
Since Patty's carpet is made up of 9 parallelograms, we multiply the area of one parallelogram by 9 to find the total area of the carpet:
Total area = 240 square inches × 9 = 2160 square inches.
Therefore, the total area of the carpet is 2160 square inches.
to maintain her income susan must work 50 hours each week susan works 7 hrs on monday tuesday and wednesday and 8 hrs on thursday if the variable t stands for the number of hrs over the rest of the week susan will have to work to meet her goal her goal which of the following choices is the most reasonable value for t A. 20hrs B. 8hrs C. 50hrs D. 35hrs
The answer is D, 35 hours. 8+5=15. And then 35 + 15 is 50!
23.791 to nearest hundredth
Answer:
23.79
Step-by-step explanation:
since 1 is less than 4 it turns into zero
Which best describes how empirical probability is determined?
Which best describes how empirical probability is determined?
A. By deciding which events are unpredictable
B. By personal experimentation and testing
C. By deciding which events are random
D. By considering all possible outcomes
Answer: B. By personal experimentation and testing
The complete question is as follows:-
Which best describes how empirical probability is determined?
A. By deciding which events are unpredictable
B. By personal experimentation and testing
C. By deciding which events are random
D. By considering all possible outcomes
The correct answer is option B which is By personal experimentation and testing.
What is empirical probability?The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.
From the given option the best statement which determines the experimental probability is to determine the probability by personal experimentation and testing.
Therefore the correct answer is option B which is By personal experimentation and testing.
To know more about empirical probability follow
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Suppose you buy a CD for $11.95. There is a 20% discount, and you pay a 7% sales tax after the discount. Find the cost of the CD.
You can use proportions to find the answer.
20/100=?/11.95
20*11.95=239
239/100=2.39
So the discount takes $2.39 off of the original price.
11.95-2.39=9.56
7/100=?/9.56
7*9.56=66.92
66.93/100=0.6692
Round to nearest tenth: 0.67
9.56+0.67=10.23
The final cost of the CD is $10.23
10.35 good luck man
Jordan has 5.48 mL of liquid in one test tube and 9.63 mL in another. Luke's test tube has 17.24 mL of liquid.
Round each number to the nearest tenth.
How much more liquid is in Luke's test tube than the liquid in Jordan's two test tubes combined?
A.about 2.1 mL
B.about 3.1 mL
C.about 2.2 mL
D.about 2.0 mL
5.48 to the nearest tenth is 5.5
9.63 is closest to 9.6
17.24 is closest to 17.2
So, 5.5+9.6= 15.1
17.2-15.1=2.1
A. about 2.1 mL
Answer:
a. about 2.1 :)
Step-by-step explanation:
What is the value of the determinant?
|1 7|
|0 -3|
Answer:
-3
Step-by-step explanation:
Answer:
- 3
Step-by-step explanation:
Given the 2 x 2 matrix [tex]\left[\begin{array}{ccc}ab\\cd\\\end{array}\right][/tex]
Then the determinant = ad - bc
Hence for [tex]\left[\begin{array}{ccc}1&7\\0&-3\\\end{array}\right][/tex]
determinant = (1 × - 3) - (7 × 0) = - 3 - 0 = - 3
Which of the following are solutions to the inequality n>-7
Answer:
What following? There are no options
2. Solve the following system by any method.
8x + 9y = –5
–8x – 9y = 5
ANSWER
Infinitely many solutions.
EXPLANATION
The given system t;
8x + 9y = –5
–8x – 9y = 5
We use the elimination method:
Let us add the two equations to obtain:
-8x+8x+9y-9y=-5+5
This simplifies to:
0=0
This implies that, the system has infinitely many solutions because the two lines coincide.
Match The Graph With The Correct Equation.
Answer:
y=-x-2
Step-by-step explanation:
Hello
according to the graph you can take two points of the line, let p1 and p2
p1(-2,0) , p2(0,-2)
with those points we can find the slope
[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{-2-0}{0-(-2)} \\m=\frac{-2}{2} \\m=-1[/tex]
now we use the slope point -equation, with p1(-2,0)
[tex]y-y_{0} =m (x-x_{0})\\[/tex]
[tex]y-0=-1(x-(-2))\\y=-x-2[/tex]
the function of the graph is y =-x-2
Have a great day.
Find the midpoint of the segment from point a (6,3) to point B (8,1)
Answer: [tex]M=(7,2)[/tex]
Step-by-step explanation:
You need to use the following formula:
[tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex]
Given the points A(6,3) and B(8,1), you can identify that:
[tex]x_A=6\\x_B=8\\y_A=3\\y_B=1[/tex]
Now, you can substitute these values into the formula [tex]M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})[/tex].
Therefore, you get this result:
[tex]M=(\frac{6+8}{2},\frac{3+1}{2})[/tex]
[tex]M=(7,2)[/tex]
ANSWER
The midpoint is (7,2)
EXPLANATION
The midpoint is calculated using the formula:
[tex]M(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The x-coordinate of the midpoint is given by
[tex]x = \frac{6 + 8}{2} [/tex]
[tex]x = \frac{14}{2} = 7[/tex]
The y-coordinate of the midpoint is given by:
[tex]y = \frac{3 + 1}{2} [/tex]
[tex]y = \frac{4}{2} = 2[/tex]
The midpoint is (7,2)
the diagonal of a rectagle is 25 in the width is 15 what is the length
Answer:
20 in
Step-by-step explanation:
Remark
This is a Pythagorean Theorem question.
Givens
a = 15 in
b = ??
c = 25 in
Formula
a^2 + b^2 = c^2
Solution
15^2 + b^2 = 25^2
225 + b^2 = 625 Subtract 225 from both sides
225-225+b^2 = 625-225 Combine
b^2 = 400 Take the square root of both sides
sqrt(b^2) = sqrt(400)
b = 20
The length is 20 in