Answer:
Do Y divided by X.
Step-by-step explanation:
This is normally what I do so hope I helped.
3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Plse help me on number 11 and 12 so confused on what it’s saying
4252.50=(18000)(r)(54)
Step-by-step explanation:
do you want to find r?
so do 4252.50/ (18000*54)
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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if each polygon has 12 sides and each side length was 20 cm what is the area
Answer: approximately 4478.46096908264 square cm.
==========================================================
Explanation:
I'm assuming this is a regular 12-sided polygon
The area formula for regular polygons is
\(A = 0.25n*s^2*\cot(180/n)\)
where in this case we have n = 12 sides and each side is of length s = 20
So,
\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*\frac{1}{\tan(15)}\\\\A \approx 4478.46096908264\\\\\)
The area of this regular polygon is approximately 4478.46096908264 square cm.
Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).
Solve the compound inequality, and write the solution in interval notation: 2(3x+1)≤20 and 4(x−1)<2.
Answer: x∈(-∞,3] x∈(-∞,1.5)
Step-by-step explanation:
2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
\(\displaystyle\\4(x-1) < 2\\\\Divide\ both\ parts\ of\ the\ equation \ by \ 4:\\\\x-1 < \frac{2}{4} \\\\x-1 < 0.5\\\\x-1+1 < 0.5+1\\\\x < 1.5\\\\Thus,\ x\in(-\infty,1.5)\)
The solution in interval notation, x∈(-∞,3] and x∈(-∞,1.5)
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathes that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities is used to describe relationships between quantities or to express constraints or conditions.
WE are given that the inequality as;2(3x+1)≤20
Divide both parts of the equation by 2:
3x+1≤10
3x+1-1≤10-1
3x≤9
Now Divide both parts of the equation by 3:
x≤3
Thus, x∈(-∞,3]
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is 1.5 less than 1.25
Answer:
1.5 > 1.25
Step-by-step explanation:
1.5 is smaller than 1.25
11. Find the solutions of x^2 - x - 30 = 0.
please look at photo and give detailed steps!! will give brainliest! thank you
Answer:
x=-5,6
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
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What combination of transformations is shown below
Answer:
rotation ,then reflection
Find the area of the figure.
(I've already divided the figure)
Answer:
54 yd²
Step-by-step explanation:
A = 10 yd × 3 yd + 6 yd × 4 yd
A = 30 yd² + 24 yd²
A = 54 yd²
Solve the logarithmic equation. When necessary, round answer to the nearest hundredth. log 4 (x over 2) = 2
Answer:
The solution is x = 32.
Step-by-step explanation:
To solve the logarithmic equation \(\log _4\left(\frac{x}{2}\right)=2\) you must:
Use the logarithmic definition \(\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c\).
\(\log _4\left(\frac{x}{2}\right)=2\quad \Rightarrow \quad \frac{x}{2}=4^2\)
Multiply both sides by 2
\(\frac{x}{2}\cdot \:2=4^2\cdot \:2\)
Simplify
\(x=32\)
round 0.7282 to fourth decimal place
Answer:
that is the fourth decimal place.
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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3. What is the proper ordering
(from greatest to least) of the
following numbers?
I.58/67
II.0.58%
III.58%
IV.5.8%
O I, III, II,
O III, IV, II, I
O I, III, IV, II
O IV, I, III, II
Answer:
C) I, III, IV, II
Step-by-step explanation:
Convert each number into a decimal:
\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)
\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)
\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)
\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)
Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.
The next biggest tenth is 5, so 58% is the next largest number.
The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number. Therefore, 0.58% is the smallest number.
Therefore, the given set of numbers in order from greatest to least is:
I, III, IV, IIAnswer:
c) I, III, IV, II
Step-by-step explanation:
Values of l, ll, lll & lV respectively,
→ 58/67, 0.58%, 58%, 5.8%
→ 0.87, 0.0058, 0.58, 0.058
Arranging them in descending order,
→ 0.87 > 0.58 > 0.058 > 0.0058
→ 0.87, 0.58, 0.058, 0.0058
→ l, lll, lV, ll
Hence, the option (c) is correct.
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Find the volume of the solid generated by rotating the figure around the given axis. If
necessary, use 3.14 for and round your answer to the nearest hundredth.
TU
2
5
The volume of the solid generated by rotating the figure is 62.8 cubic units
How to find the volume of the solid generated by rotating the figureFrom the question, we have the following parameters that can be used in our computation:
The figure
The figure is a rectangle with the following dimensions
Length = 5
Width = 2
When rotated around the given axis, we have a cylinder with the following dimensions
Height = 5
Radius = 2
So, we have
Volume = πr²h
This gives
Volume = 3.14 * 2² * 5
Evaluate
Volume = 62.8
Hence, the volume of the solid generated by rotating the figure is 62.8 cubic units
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x³-2y³+x ,y³-2x³+y and -2y+2y³-5x+4x³
ADD THESE EXPRESSIONS
Answer:
xy³−x³−2y³+y for the first one and 4x³+2y³−5x−2y for the second
Step-by-step explanation:
Answer:
5x³+y³-4x-y
Step-by-step explanation:
x³ -2y³+x. +. y³-2x²+y. + -2y+2y³-5x+4x³
x³-y³+x+y + -2y+2y³-5x+4x³
5x³+y³-4x-y
3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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(Brainliest will be given as soon as possible!) Pierre wants to know how many people he can count on to vote for him as the school newspaper editor. He takes a poll of 34 random students and finds that 5 said they would vote for him.
If there are 272 students who will vote at the school, what would be Pierre’s best prediction for how many votes he can expect to receive?
The best prediction for the number votes Pierre should expect to receive is 40 votes
Calculating the number of vote
From the question, we are determine the best prediction for the number of votes Pierre should expect to receive
From the given information,
He takes a poll of 34 random students and finds that 5 said they would vote for him
Then, we can assume that,
Out of every 34 random students, 5 would vote for him
The total number of students that will vote = 272
There are eight 34s in 272
NOTE: 272 ÷ 34 = 8
Then, he should expect 8 × 5 votes
8 × 5 votes = 40 votes
Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes
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10. (03.04 LC)
-
When the function f(x) = 6(9)* is changed to f(x) = 6(9)X + 1, what is the effect? (4 points)
O There is no change to the graph because the exponential portion of the function remains the same.
O All input values are moved one space to the right.
O The x-intercept is one space higher.
The y-intercept is one space higher.
Answer:
It is "The y-intercept is one space higher."
Step-by-step explanation:
Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
The ship started at the Position 0.14 units.
To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.
Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:
Starting position + Distance sailed to the left = Distance to the treasure
Let's assign a variable, "x," to represent the starting position of the ship.
The equation becomes:
x - 0.055 = 0.085
To find the value of x, we can solve this equation by isolating x on one side:
x = 0.085 + 0.055
x = 0.14
Therefore, the ship started at the position 0.14 units.
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pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
solve the equation 1.2x =5.16 for x.
Answer:
4.3
Step-by-step explanation:
5.16 ÷ 1.2 = 4.3
You're welcome!
Solve: 3⁴ × 3² × 3³
...............................
Answer:
19,683
Step-by-step explanation:
3⁴ × 3² × 3³
Solve the exponents
81 x 9 x 27
Multiply each number and you get
19,683
if a right triangle has sides of length a, b and c, and if c is the largest, then it is called the hypotenuse. the length of the hypotenuse can be calculated with this formula: c
The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².
What is the hypotenuse?The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry.
The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
In this case, if one of the other sides is 3 (when squared, 9) and the other is 4 (when squared, 16), then the sum of their squares is 25.
The square root of 25, or 5, is the length of the hypotenuse.
With the help of the Pythagorean formula, which is c = √a² + b², we can determine the hypotenuse.
Therefore, the hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².
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Alex needs
80
cm
80 cm80, start text, space, c, m, end text of thread for a sewing project. The thread is on a spool with a circumference of
10
cm
10 cm10, start text, space, c, m, end text.
How many times must Alex unwind the spool to get the length of thread he needs?
Answer:
8 full turns
Step-by-step explanation:
80 cm is 8 times 10 cm, so is 8 times around the spool.
Alex must unwind 8 full turns of thread from the spool.
__
He must unwind it once.
Answer:
8 in total turns
Step-by-step explanation:
Choose the expression that correctly compares the numbers 117 and 171.
171 < 117
171 = 117
171 > 117
117 > 171
Answer:
171 > 117
Step-by-step explanation:
171 is greater than 117 meaning the alligator is eating the bigger number, 171.
Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answer: 60% increase
Step-by-step explanation: look up calculator soup if you have more questions like this