Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Please help me on this thank you I’ll give brainliest
Answer:
Eh, you're not getting any help since you lied about "giving brainliest".
Step-by-step explanation:
Hello, can someone help me with this question?
Answer:
area = 77 m²
Step-by-step explanation:
area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²
An artist uses metal to make a sculpture in the shape of a cube. What is the total
amount of metal, in square meters, used in the sculpture? The height is 1/2m Show your work.
Answer:
\(1\frac{1}{2}\)
Step-by-step explanation:
We need to find the surface area of a cube with height \(\frac{1}{2}\).
The surface area of a cube with side n is \(6n^{2}\).
\(6\)x\(\frac{1}{2}^{2}\)= 6x\(\frac{1}{4}\) = \(\frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}\).
A set of data is described as:
The data is around 12. If another measurement were taken, it would probably be around 12.
Which group of measures would lead to this conclusion?
Range—7
Mode—11
Median—12
Mean—12
Range—6
Mode—11
Median—11
Mean—11
Range—14
Mode—12
Median—9
Mean—12
Range—5
Mode—11
Median—12
Mean—10
The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
Given that, the data is around 12. If another measurement were taken, it would probably be around 12.
We need to find which group of measures would lead to this conclusion.
What are the mean, median and mode of the data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.
Median=12
The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.
Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.
Mode=11
Mean=12
Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.
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If n represents a number, write an expression for one half of three less than a number
-16=m/5-18 prove m=10
Answer:
see below m= 10
Step-by-step explanation:
-16 = \(\frac{m}{5}\) - 18
-16 + 18 = \(\frac{m}{5}\) - 18 + 18 (add 18 to both sides so m/5 is alone)
2 = \(\frac{m}{5}\)
2 * (\(\frac{5}{1}\)) = \(\frac{m}{5}\) * \(\frac{5}{1\\}\) (cancel out the 5 by multiplying to both sides)
10 = m
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.99}{2} = 0.005\)
Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.575.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that \(\sigma = 1.5\)
Margin of error of 0.25
This means that \(M = 0.25\)
What's the minimum size of the sample?
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(0.25 = 2.575\frac{1.5}{\sqrt{n}}\)
\(0.25\sqrt{n} = 2.575*1.5\)
\(\sqrt{n} = \frac{2.575*1.5}{0.25}\)
\((\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2\)
\(n = 238.7\)
Rounding up:
The minimum sample size is 239.
Complete this sequence of numbers such that the difference between any two adjacent numbers is the same : 3/k, _, _, 9/2k.
The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.
Let's denote the missing terms as A and B.
The given sequence is: 3/k, A, B, 9/2k.
The common difference can be found by subtracting 3/k from A or B. Therefore:
A - 3/k = B - A = 9/2k - B.
To simplify, we can equate the two expressions for the common difference:
A - 3/k = 9/2k - B.
Next, we can solve for A and B using this equation.
Adding 3/k to both sides gives:
A = 3/k + 9/2k - B.
Now, we can substitute the value of A into the equation:
3/k + 9/2k - B - 3/k = 9/2k - B.
Simplifying further, we have:
9/2k - 3/k = 9/2k - B.
Cancelling out the common terms, we find:
-3/k = -B.
Multiplying both sides by -1, we get:
3/k = B.
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What is 3 5/8 minus 2.5
Answer:
1.125
Step-by-step explanation:
Answer:
Step-by-step explanation:
To help put this into simpler terms, we can convert 2.5 to 2 4/8,
Now we just subtract
3 5/8-2 4/8=1 1/8
Let me know if you have any questions
Milan paid a total of $56 for 7 meals. He had a cpupon for $2 off the regular price of each meal . Each meal had the same regular price. What was the regular price of each meal?
Answer:
10$
Step-by-step explanation:
what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Find the value of B, Please.
\(\frac{-5x^3+2x+3}{x+2} = A+\frac{B}{x+2}\)
A. -13
B. 39
C. -21
D. -33
Answer:
B) 39------------------------------
We need to find the remainder when -5x³ + 2x + 3 is divided by x + 2.
According to the remainder theorem, the remainder is the value of the polynomial when x = - 2:
-5(-2)³ + 2(-2) + 3 = - 5(-8) - 4 + 3 = 40 - 1 = 39The matching choice is B.
Answer:
B. 39
Step-by-step explanation:
Divide the polynomials using long division:
\(\large \begin{array}{r}-5x^2+10x-18\phantom{)}\\x+2{\overline{\smash{\big)}\,-5x^3\;\;\;\;\;\;\;\;\;\;\;+2x+3\phantom{)}}}\\{-~\phantom{(}\underline{(-5x^3-10x^2)\phantom{-b)))))))}}\\10x^2+2x+3\phantom{)}\\-~\phantom{()}\underline{(10x^2+20x)\phantom{)))}}\\-18x+3\phantom{)}\\-~\phantom{()}\underline{(-18x-36)\phantom{}}\\39\phantom{)}\\\end{array}\)
The solution is the quotient plus the remainder divided by the divisor.
Solution
\(-5x^2+10x-18+\dfrac{39}{x+2}\)
Irrational numbers can be expressed as a quotient of integers. TRUE OR FALSE
Answer:
False
Step-by-step explanation:
Irrational number cannot be in the form p/q
If point C lies on the line x = −1, what is the y-value of point C? (1 point) −2 −1 0 1
In a parallelogram ABCD, if point C lies on the line x = −1, then the y-value of C is option C: 0.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
Since ABCD is a parallelogram, it is known know that opposite sides are parallel.
Therefore, the slope of side AB is the same as the slope of side CD, and the slope of side BC is the same as the slope of side AD.
The points B and C both lie on the line x = -1.
Therefore, the x-coordinate of point C is also -1.
Use the slope of side BC to find the y-coordinate of point C.
The slope of side BC can be found as -
slope of BC = (y-coordinate of C - y-coordinate of B) / (-1 - 1)
slope of BC = (y-coordinate of C - 2) / (-2)
Since side AD is parallel to side BC, it has the same slope.
The slope of side AD can be found as -
slope of AD = (y-coordinate of D - y-coordinate of A) / (-1 - 1)
slope of AD = (2 - 4) / (-2) = 1
Since the slopes of two parallel lines are equal so -
slope of AD = slope of BC
Therefore, equate the two slopes and solve for the y-coordinate of point C -
1 = (y-coordinate of C - 2) / (-2)
Multiplying both sides by -2 -
-2 = y-coordinate of C - 2
Adding 2 to both sides -
y-coordinate of C = 0
Therefore, the y-coordinate of point C is 0.
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Figure ABCD is a parallelogram. If point C lies on the line x = −1, what is the y-value of point C?
what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
what number times itself gives 256
Answer:
16
Step-by-step explanation:
16 × 16 = 256
√256 = 16
hope this helps...
In this geometric sequence, what is the common ratio?
104, -52, 26, -13, ...
2
-2
-
Answer:
-2
Step-by-step explanation:
Each value is divided by -2 to get to the next term
Answer:-1/2
Step-by-step explanation:
common ratio=(2nd term➗Ist term) or (3rd term➗2nd term)
first term=104
Second term=-52
Common ratio=-52 ➗ 104
Common ratio=-1/2
Please help me guys!
Answer:
B
Step-by-step explanation:
Please say thank you
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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The depth of water in a tank thats in the shape of a rectangular prism is inversely proportional to the area of its base if the tanks volume is kept constant. if the area of the tanks base is 200 square feet, the depth of the water in the tank is 12 feet. which pair of statements best describe this situation
The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let d represent the depth of the tank, b represent the area of the base and V represent the volume.
The depth of water is inversely proportional to the area of its base at constant volume. Hence
d = V/b
When b = 200 ft² and d = 12:
12 = V/200
V = 2400
d = 2400/b
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What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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You have a credit card that has a balance of $3589.90 and a credit limit of $5000. How much is the balance over the acceptable debt ratio percentage?
The balance over the acceptable debt ratio is $1089.90.
What is debt ratio percentage?A debt ratio calculates a company's leverage by comparing its total debt to its total assets.
Although this ratio varies greatly between industries, capital-intensive enterprises typically have significantly larger debt ratios than other types of businesses.
Divide total debt by total assets to find a company's debt ratio.
A debt ratio of less than 100% signifies a corporation has more assets than debt, and a debt ratio of larger than 1.0 or 100% means the opposite.
According to some sources, the debt ratio is calculated by dividing all obligations by all assets.
Given that, credit card balance = $3,589.90
credit limit = $5,000
Debt Ratio percentage = 50% = 0.50
The balance over is given as
balance = Current Balance - (Credit Limit × 0.50 )
balance = 3589.90 - (5000 × 0.5)
balance = 3589.9 - 2500
balance = 1089.9
Hence, the balance over the acceptable debt ratio is $1089.90.
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4.
Write an equation for each translation of y = |x|.
16.5 units right
A. y = | x | + 16.5
B. y = | x | – 16.5
C. y = | x + 16.5 |
D. y = | x – 16.5 |
Answer:
D. y = | x – 16.5 |
Step-by-step explanation:
If you want to write an equation for an absolute value function this is the parent function y=a|x-h|+k.
In order to write an equation that is 16.5 units right you would do this:
y=|x-16.5|
If you are moving units left the number -16.5 would become 16.5
Remember when you are moving that the number inside is always the opposite sign of where you are moving
Here is the answer:
y=|x-16.5|
Hope This Helps!
...............................................................................................................................................
Just subtract 16.5 to the x , in parenthesis, to the existing equation.
For example,
if u r given y= x +3 --> y=(x-16.5)+3
You purchase a new game for $49.99. Sales tax is 7%. How much did you pay for
the game, including tax? *
Answer:92
Step-by-step explanation:
The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
A garden is shaped like a rectangle whose perimeter is 150 ft. The length is 2 times as long as the width. Find the length and the width.
Answer:
Step-by-step explanation:
L=2W
P=2(L+W), using L=2W this becomes
P=2(2W+W)
P=2(3W)
P=6W, given P=150
6W=150
W=25, and since L=2W
L=50 so
L=50ft and W=25ft
The midpoint of CD is M=(1, 2). One endpoint is C = (6, -2).
Find the coordinates of the other endpoint, D.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula \(\frac{x_1+x_2}{2} = Xmp\) \(\frac{y_1+y_2}{2} =Ymp\)
\(\frac{6+x_2}{2} = 1\) \(\frac{-2+y_2}{2} =2\)
multiply each by 2 to simplify
\(\frac{6+x_2}{2*2} = 1*2 = {6+x_2}= 2\) \(\frac{-2+y_2}{2*2} =2*2 = -2+y_2=4\) take the equations and simplify
6+\(x_{2}\) = 2 -2+\(y_{2}\) = 4 =
-6 -6 +2 +2
\(x_{2}\) = -4 \(y_{2}\) = 6
To check use the Midpoint formula
\(\frac{-4+6}{2} , \frac{6-2}{2} = \frac{2}{2} , \frac{4}{2} = (1,2)\)
HELP ASAP
The radius of a quarter circle is 1.4 millimeters. What is the quarter circle's area?
Answer:
A = 1.5386
Step-by-step explanation:
Quarter circle area formula:
A = (πr²)/4
A= (π1.4²)/4
A = (3.14*1.96)/4
A = (6.1544)/4
A = 1.5386