Answer:In this item, I take it that we are to get the cube root of the given expression, -64x6y9. First, we look into the numerical coefficient, this is the product when -4 is multiplied to itself three times as shown below.
-64 = (-4)(-4)(-4)
Then,
x6 = x2 (x2) (x2)
and,
y9 = (y3)(y3)(y3)
If we take the cube root, we consider only one item per product. Thus, the answer is,
-4x²y³
Step-by-step explanation:
your sister earns $30 per day selling clothes at the market, but in order to sell at the market, she has to pay $60 to get a license. You earn $20 per day helping rake your neighbors' lawns. How many days will it take for your sister to earn as much as you?
It will take 6 days for the sister to earn as much as the brother.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.
The income of the sister in x days is:
30x - 60
The income of the brother in x days is:
20x
The income of the sister and the brother is equal when:
30x - 60 = 20x
30x - 20x = 60
10x = 60
x = 6
Hence, It will take 6 days for the sister to earn as much as the brother.
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Which graph shows how to graph a line with a slope of 3 and y intercept of -2
The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.
What is meant by the graph?A diagrammatic depiction of a set of facts is called a graph, chart, or diagram.
Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions. Graphs should ideally be pleasing to the eye.
Please be aware that the terms graph, chart, and diagram can be imprecise and are sometimes used synonymously.
Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions.
Given,
Slope m=3
y-intercept (c)=-2
The slope-intercept form is given as
y=mx +c
Therefore, y=3x-2
The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.
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What is the diameter of a circle with a circumference of 47.1 in.?
A. 7.5 in.
B. 15 in.
C. 0.75 in.
D. 1.5 in.
The required diameter of the circle is given as 15 in. Option B is correct.
Given that,
The circumference of a circle is given 47.1 in, we have to determine the diameter of the circle.
Perimeter is the measure of the figure on its circumference.
Here,
As per the given condition,
First, write the formula for the circumference of the circle,
Circumference of the circle = πD
now substitute the value in the above equation,
47.1 = 3.14 D
D = 47.1/3.14
D = 15 in
Thus, the required diameter of the circle is given as 15 in. Option B is correct.
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< The concession stand at the baseball park sells food in value packs. The ratio in the value pack is 4 hot dogs 2 drinks: 1 bag of chips. A tape diagram representing the ratio of each item is shown. hot dogs drinks chips a. Describe what each small rectangle in the tape diagram represents b. What is the least total amount of items in a value pack? c. How many bags of chips are in a value pack if there are 10 drinks?
Answer:
someone answer please ive been waiting for 2 hours :skull:
Step-by-step explanation: please answer yall
Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.
If the width of each of the desks is 30 inches, what is the length of each desk?
The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.
How to calculate the length?From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.
The perimeter for each desk will be:
= 324 / 3
= 108
The perimeter is calculated as:
= 2(length + width)
This will be
2(length + width) = 108
2(length + 30) = 108
2l + 60 = 108
Collect like terms
2l = 108 - 60
2l = 48
Divide
l = 48/2
l = 24
The length is 24 inches.
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using a z-table like the one found in lectures, or a z-score calculator, approximately what is the probability of randomly drawing a value greater than 3.0 from a z-distribution? question 3 options: .9995
The probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
What does z-score mean?The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.
An element that is below the mean is indicated by a z-score that is less than 0.
An element bigger than the mean is indicated by a z-score greater than 0.
An element that is equal to the mean is represented by a z-score of 0.
P(Z > a) = 1-P(Z<a)
Let's say we want to know, for instance, the likelihood that a z-score will be higher than 3.00.
We learn from the table, that
P(Z < 3.00) = 0.9987.
Therefore,
P(Z > 3.00) = 1 - P(Z < 3.00)
= 1 - 0.9987
= 0.0013.
Therefore, the probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
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Write an equation in slope-intercept form of the line that passes through the given points.
Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.
Given points:
(1, 1.5) and (2, 3.5)
slope m = 3.5 - 1.5 / 2 - 1
= 2/1
m = 2
substitute m and (1,1.5) in y = mx + c
1.5 = 2*1 + c
1.5 - 2 = c
c = -0.5
c = -1/2
y = mx + c
y = 2x - 1/2.
Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The fraction of a mile that Evan has to hike and the fraction he has hiked, gives the completed statement as follows;
[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex]. So the difference is closest to [tex]\frac{1}{2}[/tex]
What is a fraction in mathematics?A fraction is a representation of the part of a whole of an item or collection of items. The distance Evan's hiking trail of [tex]\frac{5}{6}[/tex] miles is a fraction of a mile.
The length of the trail = [tex]\frac{5}{6}[/tex] mile
The distance Evan has hiked = [tex]\frac{2}{5}[/tex] mile
The distance Evan has left to hike is given by the difference between the length of the trail and the distance Evan has hiked as follows;
Distance remaining = [tex]\frac{5}{6} -\frac{2}{5} = \frac{13}{30}[/tex]
Representing the numbers in decimal form, we have;
[tex]\dfrac{5}{6} = 0.8\overline 3[/tex]
The value of [tex]\frac{5}{6}[/tex] is close to 1
[tex]\dfrac{2}{5} = 0.4[/tex]
The value of [tex]\frac{2}{5}[/tex] is closest to 0.5
[tex]\dfrac{13}{30} = 0.4\overline 3[/tex]
The difference between [tex]\frac{5}{6}[/tex] and [tex]\frac{2}{5}[/tex], which is [tex]\frac{13}{30}[/tex] is therefore closest to [tex]\frac{1}{2}[/tex]
The completed statement is therefore;
[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex] so the difference is closest to [tex]\frac{1}{2}[/tex]
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The graph represents a one-to-one function because every x-value is paired with only one y-value.
The graph represents a one-to-one function because it is defined for all x-values.
The graph does not represent a one-to-one function because it does not pass through the origin.
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
The correct statement regarding whether the graph is a one-to-one function is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
What is an one-to-one function?An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.
These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.
From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:
The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Missing InformationThe problem asks for the correct statement regarding the function given on the image at the end of the answer.
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given the measurements; 6 cm, 10 cm, 17m. Check if three measurements can form a angle
Write and Solve the equation: A printing company charges $0.15 per copy in addition to a service fee of $3. Write an equation to represent the cost, y, the company charges for x numbers of copies. How much would 250 copies cost?
The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.
Cost for 250 copies is $40.5
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a printing company charges $0.15 per copy in addition to a service fee of $3,
Therefore, according to question, the total cost y for printing x copies is,
y = 0.15x + 3
For x = 250
y = 0.15*250 + 3
y = $40.5
Hence, The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.
Cost for 250 copies is $40.5
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find the general terms of the sequence 4 8 12 16
Answer: The general term is an = 4n
Step-by-step explanation:
the product of 180 and the positive integer n is a perfect cubic number. what is the least possible value of n?
The least possible value of n, where the product of 180 and the positive integer n is a perfect cubic number is 150.
so, by the question,
n×180 is a perfect cube
on the prime factorization of 180, we get
180 = 2²×3²×5
so the number should be
n = 2 × 3 × 5² =150
when we multiply both of them we get
180×n = (2²×3²×5)×(2 × 3 × 5²)
= (2³×3³×5³)
=(2×3×5)³
=(30)³
=27000
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Hello I just need the answers for 31 and 32 I just answered a math equation to a few minutes ago so I’d like a final answer again please I need it ASAP thank you and have a great day
The value of n is A. -1/2
The inequality that does not represent the position of 2 numbers on a number line is A. 4 1/2 > 25/4
What is number line?A number line is a horizontal representation of number parts with equal intervals
The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values
n is the negative side of the line and it is half (1/2) way between 0 and -1 hence should be -1/2
for the inequality, 4 1/2 > 25/4
4 1/2 = 4.5
25/4 = 6.25
4.5 should less than 6.25, and hence do not represent the correct position of two numbers
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a comic book costs $3.99. it is marked up 45%. what is the final price of the comic book after it is marked up?
The final price of the comic book after it is marked up is $5.79.
Since we have given that
Cost of a comic book including tax = $ 3.99
According to the question, it is given that it is marked up 45%,
=3.99 × (100+45)÷100
=3.99 × 145/100
=399 × 1.45
=5.79
Hence, the final price of the comic book after it is marked up is $5.79.
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log₂ (x+5)-1og₂ (x-2)=3
Answer: x=3
Step-by-step explanation:
log₂(x+5)-log₂(x-2)=3
Domain:
x+5>0 ⇔ x>-5
x-2>0 ⇔ x>2
Hence, x>2 or x∈(2,∞)
Solution:
[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]
Multiply both parts of the equation by (x-2):
[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]
Divide both parts of the equation by 7:
[tex]3=x\\\\Thus,\ x=3[/tex]
CAN someone help me with DIS
The area of the triangle below is 224 inches squared.
How to find the area of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The area of a triangle an be described as follows:
area of a triangle = 1 / 2 bh
where
b = baseh = heightTherefore, the area of the triangle can be found as follows:
b = 4t = 4(4) = 16 inches
h = 7(t) = 7(4) = 28 inches
Therefore,
are of the triangle = 1 / 2 × 16 × 28
are of the triangle = 8 × 28
Therefore,
are of the triangle = 224 inches²
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Answer:
224 inches squared.
Step-by-step explanation:
have great day
What is the total volume of both boxes if s equals 8 inches
The total volume of both cubed boxes, combined, is of:
612 cubic inches.
What is the volume of a cube?The volume of a cube of side length s is given by the side length s cubed, as shown by the formula presented as follows:
V = s³.
In this problem, the boxes are given as follows:
Cubed box with side length of s = 8 inches.Cubed box with a volume of 100 cubic inches.The volume of the box with side length 8 inches is given as follows:
V = 8³ = 512 cubic inches.
(measure is in inches, hence the cubed measure is in cubic inches).
The total volume is given by the sum of the volumes of the two boxes, hence:
Total volume = 512 cubic inches + 100 cubic inches = 612 cubic inches.
Missing InformationThe image showing the cubes is given at the end of the answer.
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After raining for 3/4 of an hour, a rain gauge is of 2/5 the way full. If it continues to rain at the same rate for 15 more minutes, what fraction of the rain gauge will be filled?
Answer:
8/15
Step-by-step explanation:
You want the fraction of a rain gauge filled after 15 more minutes when the rain rate is 2/5 of the gauge in 3/4 of an hour.
Proportion15 minutes is 1/4 hour, so 15 more minutes brings the total time to 1 hour. The fraction (x) of the gauge that is filled will be ...
x/1 = (2/5)/(3/4)
x = (2/5)(4/3) = 8/15
After a total of 1 hour, the rain gauge will be 8/15 of the way full.
0 . 476 × 10 to the 1st power
Answer:
4.76
Step-by-step explanation:
had this on a test today!
Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is the cost of each bag of chips.
The cost of each bottle of water is equal to the cost of each bag of chips.
The expression:
The expression is defined as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
Here it is given that 4 bottles, 2 bags of chips, and a fruit salad.
The price of a fruit salad is $5.
The expression given is:
4x + 2x + 5
To find the relation between the price of a bottle and a bag of chips, we have:
Price of bottles = 4x/4 = x
Price of bag of chips = 2x/ 2 = x
Therefore we get that the cost of each bottle and each bag of chips is the same.
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The complete question is:
Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount Jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is ______the cost of each bag of chips.
The identification of a relationship using
multiplication and the prediction of the value of one
quantity based on the value of another.
Utilizing multiplication to find relationships and predicting that value of one "Linear regression" is a quantity derived from the value of another.
Define the term Linear regression?The relationship in between magnitude of one parameter and that of a second is modeled by simple linear regression.
For instance, as X rises, Y also increases. or Y declines as X rises. 1 Regression defines the nature of the link, whereas correlation evaluates the strength of such a linking between two variables.Simple linear regression calculates the precise amount by which Y will alter when X alters by a specific amount. The variables X and Y remain interchangeable with the correlation coefficient. Regression uses a linear relationship, or a line, to try and predict any Y variable from the X variable:Y = b 0 + b 1 X.Thus, finding correlations via multiplication and assuming that the value of one "Linear regression" is a number obtained as from value of another
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Please help me with this math problem
Answer: B. ≤
Step-by-step explanation:
≤
how many units apart are -6 and 4 on the number line
3) an applicant for a job has to take an aptitude test. suppose that the time it takes to finish the test is normally distributed with mean time 69 minutes and standard deviation 8 minutes. determine how much time an applicant should be given so that 97 percent of them will be able to complete the test.
An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.
An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.
To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.
Mean (μ) = 69
standard deviation (σ) =8
Hence, due to population standard deviation (σ) is known to use the normal distribution.
x_ Norm (μ,σ)
x_ Norm (69,8)
Therefore, x_ random variable that represents the time of applicant;
P(X<x) = 0.97
Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.
P(z < 1.88) = 0.97
z < 1.88
(X - μ)/σ < 1.88
X < 1.88 (8) + 69
X < 84.04
The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.
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Can you explain how you got your answer please
A software company bought 73 laptops and paid a total of $61,274 to buy them. How much money did each laptop cost the company?
Answer:
839.369863
(Might need to round it depending on what the question requests)
Step-by-step explanation:
Step 1: I divided $61,274 by 73.
Step 2: I multiplied 839.369863 by 73, and I got 61,274.
---------------------------------------------------------------
If it asks to explain say this:
"I divided the amount of money spent by the total amount of laptops bought, and i got 839.369863, To make sure it can be multiplied by 73 to get $61,274, I multiplied 839.369863 by 73 to get $61,274."
Hope this helps :)
One motorcycle travels 80 mph and the second motorcycle travels 60 mph. if the faster motorcycle travels 1 hr longer than the slower motorcycle and it also travels twice the distance of the slower motorcycle, what distance does each motorcycle travel?
Each motorcycle travel a distance of 240 miles for the faster motorcycle and 120 miles for the slower motorcycle.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
Let x = time it took the faster motorcycle to travel
If the faster motorcycle travels 1 hr longer than the slower motorcycle, then the slower motorcycle travels x - 1 hours.
The product of the rate of speed and time is equal to the distance.
Hence, the distance traveled by the faster motorcycle is 80x, while the distance traveled by the slower motorcycle is 60(x - 1).
If the faster motorcycle travels twice the distance of the slower motorcycle, then the distance traveled by the slower motorcycle is 80x/2.
60(x - 1) = 80x/2
Simplify and solve for x.
60(x - 1) = 80x/2
60x - 60 = 40x
20x = 60
x = 3
distance traveled by the faster motorcycle = 80x = 80(3) = 240 miles
distance traveled by the slower motorcycle = 80x/2 = (80)(3)/2 = 120 miles
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What does x equal to??
x is equal to 125° in the triangle
How to determine the value x in the triangle?The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:
x + 25° + 30° = 180°
x + 55° = 180°
x = 180° - 55°
x = 125°
Therefore, the value of x is 125°. So x is equal to 125°
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triangle
please solve asap
a) since all the angles on the triangle are next to a given angle we just subtract the given angle from 180 to find the unknown angle
180-150=30=x
180-80=100=y
180-130=50=z
Sum of All triangles angles is always 180 degrees but we can still check
30+100+50
130+50=180
Now for the B triangle every angle is across from it like this means the triangle angle is equal to that
a= 40 degrees
b= 95 degrees
c= 45 degrees
And this also equal 180 degrees
Hopes this helps please mark brainliest
Answer:
1st Question Answer:
X=30
y=100
z=50
2nd Question Answer:
a=40
b=95
C=45
Step-by-step explanation:
1st Question : Since the angles of a straight line add up to 180 , we can subtract the degree of the angle given by 180 which gives us the answer . also we can make certain the angle is right because angles of a traingle add up to 180
2nd Question: Since the angles in the second question are parallel (which means they are the same) . we can easily find the answer . we can make sure the answer is right by using the same way ( angles of a triangle add up to 180)
Characterize the slope of the line in the graph.
• A. Zero
• B. Negative
• C. Undefined
• D. Positive
Answer: C Undefined
Step-by-step explanation:
A vertical line never moves left and right, so the run is 0. Because the quotient of a number divided by 0 is undefined, the slope of a vertical line is always undefined.
The slope is positive
D.Positive