Answers
Answer:
1) 3.14×20cm
= 62.8 cm
2)1.5×3.14×1.5
=2.25 × 3.14
= 7.065 cm
Related Questions
the pay rate and hours worked are given below. use this information to determine the following. the gross earnings federal taxes (assuming 18% of gross earnings) state taxes (assuming 4% of gross earnings) social security deduction (assuming 7.05% of gross earnings) total deductions net pay earnings description rate hours current regular $7.50 30.0 $ taxes and deductions fed tax $ state tax $ soc sec $ total deductions $ net pay $
Answers
The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
The gross earnings are determined by multiplying the pay rate by the number of hours worked.
Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.
Total deductions are the sum of federal taxes, state taxes, and social security deductions.
Net pay is obtained by subtracting the total deductions from the gross earnings.
To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.
Therefore, the gross earnings are $7.50 * 30 = $225.
Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.
The federal taxes amount to 18% * $225 = $40.50.
Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.
The state taxes amount to 4% * $225 = $9.
To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.
The social security deduction amounts to 7.05% * $225 = $15.86.
The total deductions are the sum of the federal taxes, state taxes, and social security deduction.
Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.
Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.
Therefore, the net pay is $225 - $65.36 = $159.64.
In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
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The base has legs measuring 11 cm and 12 cm what is the length of the hypotenuse
Answers
Approximately 16.28 cm
1) We can sketch out this triangle to better figure out:
2) So now, let's resort to the Pythagorean Relation:
\(\begin{gathered} a^2=b^2+c^2 \\ a^2=11^2+12^2 \\ a^2=121+144 \\ a^2=265 \\ a=\sqrt{265} \\ a\approx16.28 \end{gathered}\)Note that the hypotenuse is always on the left, in the Pythagorean Theorem.
3 Consider the line y= 3/4x+3. Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
Answers
ANSWER
\(y\text{ = -}\frac{4}{6}x\text{ - }\frac{14}{3}\)EXPLANATION
We have to find the equation of the line perpendicular to the given line:
\(y\text{ = }\frac{3}{4}x\text{ + 3}\)and passes through the point (-8, 6)
A line perpendicular to another line has a slope that is the negative inverse of the line.
The slope of the given line is 3/4, so the slope of the line we are looking for is -4/3
Now, we use the point slope method to find the equation:
y - y1 = m(x - x1)
where m = slope
(x1, y1) = point the line passes through
So, we have:
\(\begin{gathered} y\text{ - 6 = -}\frac{4}{3}(x\text{ - (-8))} \\ y\text{ - 6 = -}\frac{4}{3}(x\text{ + 8)} \\ y\text{ - 6 = -}\frac{4}{3}x\text{ + (-}\frac{4}{3}\cdot8) \\ y\text{ - 6 = -}\frac{4}{3}x\text{ - }\frac{32}{3} \\ \Rightarrow\text{ y = -}\frac{4}{3}x\text{ - }\frac{32}{3}\text{ + 6} \\ y\text{ = -}\frac{4}{6}x\text{ - }\frac{14}{3} \end{gathered}\)That is the equation of the line.
A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
Answers
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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Can you answer this please. NO LINKS
Answers
Answer:
The answer selected is correct
Step-by-step explanation:
An item is regularly priced at $60. Brian bought it on sale for 80% off the regular price. How much did Brian pay?
Answers
Answer:
$12
Step-by-step explanation:
Since it was 80% off, he paid for 20%
20% = 0.2
(60)(0.2) = 12
12
10 POINTS PLZ HELP ASAP
Which statements describe Aztec achievements in art and architecture? Choose four correct answers. The Aztec created music using instruments like drums. The Aztec used feathers and jewelry to identify social class. The Aztec used elaborate decorations on royal homes. The Aztec created a method to print the emperor’s poetry. The Aztec wrote complicated poems known as flower songs. The Aztec expanded existing structures like the Temple of the Sun.
Answers
Answer:
a b e f
Step-by-step explanation:The Aztec created music using instruments like drums.
The Aztec used feathers and jewelry to identify social class.
The Aztec wrote complicated poems known as flower songs.
The Aztec expanded existing structures like the Temple of the Sun. i did it
Answer:
The Aztec created music using instruments like drums.
The Aztec used feathers and jewelry to identify social class.
The Aztec wrote complicated poems known as flower songs.
The Aztec expanded existing structures like the Temple of the Sun.
Step-by-step explanation:
If f(x) = x + 4 and g(x)=x²-1, what is (gof)(x)?
(gof)(x)=x²-1
(gof)(x)=x² +8x+16
(gof)(x)=x²+8x+15
(gof)(x)=x²+3
Answers
Answer:
(g ￮ f)(x) = x² + 8x + 15
Step-by-step explanation:
to find (g ￮ f)(x) substitute x = f(x) into g(x)
(g ￮ f)(x)
= g(f(x))
= g(x + 4)
= (x + 4)² - 1 ← expand factor using FOIL
= x² + 8x + 16 - 1 ← collect like terms
= x² + 8x + 15
Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answers
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least $80\%$? Express your answer to the nearest whole number.
Answers
Answer:
19 throws.
Step-by-step explanation:
For her success rate to be 80% in 37 throws she must make 0.8 * 37
= 29.6 throw - that is 30 to nearest throw.
So for the next 20 throws she must make 30 - 11 = 19 throws.
Which number is missing on the following number line?
Answers
Answer:
21 is missing on the number line
please help me simplify this
Answers
Step-by-step explanation:
Given
sin(α+β) cos(α-β) +cos(α+β) sin(α -β)
We can see it is in the formula of
sin(A + B) = sinA cosB + cosA sinB
So now
Sin ( α + β + α - β)
= sin 2α
Or we can write sin2α as
= 2 sin α * cos α
Hope it will help :)❤
ASAPPPPPPPPPP HELPPPPPPPPPPPP PLEASEEEEEEEEEEEEE
Answers
Hi there!
\(\large\boxed{\text{x = -1, x = 0, x = 5/2, x = 3}}\)
We can find the zeros of the polynomial by setting each factor equal to 0:
p(x) = 4x(x - 3)(x + 1)(2x - 5)
0 = 4x
x = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
2x - 5 = 0
2x = 5
x = 5/2
Therefore, the zeros of this polynomial are:
x = -1, x = 0, x = 5/2, x = 3
HELP PLEASE!!!
Determine whether the given lines are parallel, perpendicular or neither.
5x + 4y = 3
5x – 4y = -3
(it's not perpendicular bc i got it wrong the first time)
Answers
Answer:
Neither
Step-by-step explanation:
First, you need to put your equations in y=mx+b form
Your first equation...
5x + 4y = 3
4y = 3-5x
y = -5/4x + 3/4
Your second equation...
5x-4y = -3
-4y = -5x -3
y = 5/4x + 3/4
The slopes aren't the same and are not reciprocals, so the answer would be neither.
Question
Based on a survey of 100 people who work 60 or more hours a week, a magazine article reported that a person working 60 or more hours a week sleeps on average 6.2 hours each night with a margin of error of 0.6 hours.
Between what range of values does a person working 60 or more hours a week sleep in a week?
Answers
Answer: Based on the survey, a person working 60 or more hours a week can expect to sleep between approximately 39.2 and 47.6 hours in a week.
Step-by-step explanation: To determine the range of values for the amount of sleep a person working 60 or more hours a week gets in a week, we need to consider the margin of error and calculate the upper and lower bounds.
Given that the average sleep per night is 6.2 hours with a margin of error of 0.6 hours, we can calculate the upper and lower limits for a week of sleep as follows:
Lower bound: (Average sleep per night - Margin of error) * 7
= (6.2 - 0.6) * 7
= 5.6 * 7
= 39.2 hours
Upper bound: (Average sleep per night + Margin of error) * 7
= (6.2 + 0.6) * 7
= 6.8 * 7
= 47.6 hours
Therefore, based on the survey, a person working 60 or more hours a week can expect to sleep between approximately 39.2 and 47.6 hours in a week.
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What is the value of x?
Answers
Answer:
I am not sure the answer is , if its minus ,divade ,multiply or plus but down the answer is correct
Step-by-step explanation:
17x - 75
× = 75÷17
x= 4.4117647059
Solve the triangle with the law of sines
Answers
Answer:
see below
Step-by-step explanation:
We can use the law of sines
sin 80 sin B
--------------- = -------------
31 14
Using cross products
14 sin 80 = 31 sin B
14/31 sin 80 = sin B
.984807753 = sin B
Taking the inverse sin of each side
sin ^ -1 ( .444751888) = B
26.41 = B
The sum of the angles of a triangle is 180
A+B+C = 180
80 + 26.41 + C =180
106.41 + C = 180
C = 73.59
We can use the law of sines to find c
sin 80 sin 73.59
--------------- = -------------
31 c
c sin 80 = 31 sin 73.59
c = 31 sin 73.59 / sin 80
c = 30.20
AB = 30.20
You are going to cut out the corners of a 10-inch by 12-inch piece of cardboard and fold up the edges to make a topless box as shown below. Find all the valid different values for X that will provide you with a box with a volume of 16 cubic inches. NEED HELP DUE TOMORROW!-thanks
Answers
Answer:
This is a classical problem which has delighted calculus students down through the ages.
We first express the volume of the box as a function of x, the side of the square which is cut out of each corner.
The resulting box will have a base which is a square which all of whose sides will have length 12 - 2x. The height of the box will be x. Therefore, the volume will be
V = (12 - 2x)2x
= 144x - 48x2 + 4x3
Step-by-step explanation:
hope this helps
(10 points) Complete each sentence with "increases", "decreases", "doesn't change", or "can't say anything as appropriate". (a) As the semester goes on, then number of days until final exams (b) As a person's peanut butter consumption increases, her miles traveled to work (c) As the speed of a car increases, the stopping distance of the car (d) As the number of calculations increases, the probability of making an error (e) As the demand for housing increases, the price of housing
Answers
As the semester goes on, the number of days until final exams decreases.As a person's peanut butter consumption increases, her miles traveled to work doesn't change (no direct relationship can be inferred). As the speed of a car increases, the stopping distance of the car increases.As the number of calculations increases, the probability of making an error can't say anything (the relationship between the two factors is not specified).As the demand for housing increases, the price of housing increases.
(a) As the semester goes on, the number of days until final exams decreases. This is because the number of days until final exams is a countdown towards a fixed event. As each day passes, the remaining number of days decreases until reaching zero on the day of the final exams.
(b) As a person's peanut butter consumption increases, her miles traveled to work doesn't change. There is no direct relationship between peanut butter consumption and miles traveled to work. These two variables are unrelated and one cannot infer any correlation or causation between them.
(c) As the speed of a car increases, the stopping distance of the car increases. This is due to the physics of motion. When a car is traveling at higher speeds, it covers more distance during the reaction time of the driver, and it requires a longer distance to come to a complete stop due to the increased kinetic energy. Therefore, as the speed increases, the stopping distance also increases.
(d) As the number of calculations increases, the probability of making an error can't be said with certainty. The probability of making an error depends on various factors, such as the complexity of the calculations, the proficiency of the person performing the calculations, and the presence of any systematic errors. While it is generally true that more calculations may increase the chances of making errors, it is not a definitive rule and can vary based on individual circumstances.
(e) As the demand for housing increases, the price of housing increases. This is due to the basic principle of supply and demand. When there is high demand for housing and limited supply, sellers can charge higher prices. The increased competition among buyers drives the prices up. Conversely, if the demand for housing decreases, sellers may have to lower their prices to attract buyers.
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How do i do a verbal explanation for this? Please thank you
Answers
\((-3x^3)^(^-^2^/^3^)\)can be rewritten in the form of a radical ∛(1/(-3x³))² or 1/((-3x³)²).
What is a radical in mathematics?
The radical symbol is used to denote square root or nth roots.
In order to rewrite, \((-3x^3)^(^-^2^/^3^)\) as a radical, we can use the property that states the nth root of a number raised to the power of m is equal to the number raised to the power of (m/n).
\((-3x^3)^(^-^2^/^3^)\) can be written as the cube root of the reciprocal of (-3x³) raised to the power of 2:
\(((-3x^3)^(^-^1^))^(^2^/^3^)\)
simplifying the expression further, we have :
\(((-3x^3)^(^-^1^))^(^2^/^3^) = (1/(-3x^3))^(^2^/^3)\)
∛(1/(-3x³))²
(1/(-3x³))² = 1/((-3x³)²)
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NEED NEED HELP QUICK ASAP
Answers
Answer:
1/3 of the 342 seats which would be 267 of the seats are used by the Students
Step-by-step explanation:
a square pyramid has a volume of 480 cubic inches and a height of 10 inches. what is the perimeter of the base?
Answers
Answer:
48 in-------------------
The volume of a pyramid is 1/3 of the product of the base area and height.
V = Bh/3Find the area of the base:
480 = B*10/3B = 480*3/10B = 144The base is the square, so each side is the square root of the base area:
a = √Ba = √144a = 12The perimeter of the base is:
P = 4aP = 4(12)P = 48Answer: 48 inches
Step-by-step explanation:
480*3=1440
1440/10=144
each side: 12
12*4=48 inches
What percent of 9,000 is 36?
Answers
Answer:
your answer is 0.4
Step-by-step explanation:
you can look for persentage calculators in
Answer:
Let the percentage be x%
\(x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}\)
0.4% of 9000 is 36.Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1
Answers
Answer:
-x + 1
Step-by-step explanation:
First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2. Note that +(-2) = -2.
Next, combine like terms. We get -x + 1.
Double check to determine whether this is one of the given possible answers.
What does the 14th Amendment mean ?.
Answers
Solve the inequality.
5z ≥ −75
z ≤ −15
z ≥ −375
z ≥ −15
z ≤ 15
Answers
Answer:
z ≥ −15
Step-by-step explanation:
5z ≥ −75
Divide each side by 5
5z/5 ≥ −75/5
z ≥ −15
suppose that n = 24. which score(s) do you need to examine in order to determine the value of the median?
Answers
The scores that need to be examined in order to determine the median value of n = 24 are the 12th and 13th values.
In order to determine the median value of n = 24, you would need to examine the 12th and 13th scores. This is because the median value is the middle number of a sequence of values, so when there is an even number of values, the median is the average of the two numbers in the middle. So in the case of n = 24, there are two values in the middle, the 12th and 13th numbers. To find the median, you would need to add the two values together and divide the result by two. This will give you the median value of the sequence. If there were an odd number of values instead of an even number, then the median would be the middle number rather than the average of two numbers.
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HELP pls will mark you the brainliest.
Answers
The linear equations are y = (2/3)x + 2 and y = -(1/2)x + 3. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)
From the graph, the equation passes through (-3, 0) and (0, 2). Then the equation is given as,
(y - 0) = [(2 - 0) / (0 + 3)] (x + 3)
y = (2/3)x + 2
From the table, the two points are (-10, 8) and (-4, 5). Then the equation is given as,
(y - 5) = [(8 - 5) / (- 10 + 4)](x + 4)
y - 5 = - (1/2)(x + 4)
y = -(1/2)x + 3
The linear equations are y = (2/3)x + 2 and y = -(1/2)x + 3. Then the correct option is B.
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If 2/3x - 1 = 4, then x =
Answers
Answer:
7.5
Step-by-step explanation:
2/3 x 7.5 = 5
5 - 1 = 4