How much is Pete's 12%
commission
on $50,000 in sales
I NEED THIS IM FAILING MATH PLSSSS
Answers
Related Questions
What is the of A in a partial fraction decomposition below?
8x+28/ (x-1)(x+2)(x+3) = A/x-1 + B/x+2 + C/x+3
Answers
Answer:
3
Step-by-step explanation:
(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)
Multiply both sides by (x − 1) (x + 2) (x + 3).
8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)
If x = 1:
8 + 28 = A (3) (4)
36 = 12A
A = 3
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Find the area of the triangle.
3 9
A
5
B
?] units²
![Find the area of the triangle.3 9A5B?] units](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/aWZMIZBnhz8tUKqZNrW2mkI5u8UBMICx.png)
Answers
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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PLS HELP ME ASAP
FOR THE THIRD PICTURE, I JUST NEED THAT ANSWER FOR THE SECOND ONE
Answers
Therefore, we can simplify the expression as:
| x- (-18) | as:
| x-(-18) | = | x+18 | = -(x+18)
The negative sign comes from the fact that
x + 18 is negative when x < - 18.
So the simplified expression is:
| x- (-18) | = -(x+18) if x < -18
HELP WHAT IS 2X2 HELP PLZ ITS HARD
Answers
Answer:
4
Step-by-step explanation:
Hardest problem ive ever had to solve. took me awhile.
Answer:
4
Step-by-step explanation:
Times 2 by 2 to get 4. Its the same as adding 2 and two but this doesn't apply to other questions.
40% of the students in Mr. Watson's class speak a second language. If 10 students speak a second language, how many students are in Mr. Watson's class?
Answers
Answer:
25
Step-by-step explanation:
10 = 40%
20 = 80%
25 = 100%
Okay
x - y = 1
x + y = 3
Answers
Answer:
(2, 1)
Step-by-step explanation:
x - y = 1
x + y = 3
We add them together and get:
2x = 4 --> x = 2
Plug it in
2 + y = 3 -->
Subtract 2 from both sides
y = 1
(2, 1)
Look at the coordinates below and write a linear equation (1,2) and (5,10)
Answers
Answer:
The coordinates are given below as
\(\begin{gathered} \left(1,2\right)\Rightarrow\left(x_1,y_1\right) \\ \left(5,10\right)\Rightarrow\left(x_2,y_2\right) \end{gathered}\)Concept:
To calcute the equation of a line, we will use the formula below
\(\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}\)By substituting the values, we will have
\(\begin{gathered} \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{x-x_{1}} \\ \frac{10-2}{5-1}=\frac{y-2}{x-1} \end{gathered}\)Cross multiply the equation above, we will have
\(\begin{gathered} \frac{10-2}{5-1}=\frac{y-2}{x-1} \\ \frac{8}{4}=\frac{y-2}{x-1} \\ \frac{2}{1}=\frac{y-2}{x-1} \\ y-2=2\left(x-1\right) \\ y-2=2x-2 \\ y=2x-2+2 \\ y=2x \end{gathered}\)Hence,
The equation of the line is y=2x
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer: 23
Step-by-step explanation:
x = 90 - 67
x = 23
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
Answers
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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What is the length of the segment XY?
Answers
Answer:
xy = 12
Step-by-step explanation:
The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.
xy = (8 + 16)/2
xy = 24/2
xy = 12
Question 3
Find the area of the parallelogram below.
5.5 ft
4 ft
1
/60"
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared
Back
Next
Answers
Answer:
Area = 19.05 feet squared
Step-by-step explanation:
By applying sine rule in ΔABC,
sin(∠CAB) = \(\frac{\text{Opposite side }}{\text{Hypotenuse}}\)
sin(60°) = \(\frac{BC}{AC}\)
\(\frac{\sqrt{3}}{2}=\frac{BC}{4}\)
BC = 2√3
Area of a parallelogram is given by the formula,
Area = Base × Height
= 5.5 × 2√3
= 11√3
= 19.05 ft²
Therefore, answer is Area = 19.05 ft squared.
6. In case of short
circuit............current will flow in
that circuit. *
Answers
Answer:
As suggested in the name itself:
a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none
When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)
Therefore, in case of a short-circuit. More current will flow in the circuit
what is 40 times 16
Answers
Answer:
640
Step-by-step explanation:
Answer:
the answer is 640 you're welcome
what is the value of 3n +1 when n =4
Answers
Answer:
13
Step-by-step explanation:
since n is 4 substitute it where there's n in the equation
3(4)+1
12+1
13
I hope this helps
Answer:
13
Step-by-step explanation:
so you start with the equation 3n+1
since you know n=4 then u put it in place of n making the equation 3*4+1
then you multiply and it's 12+1 which equals 13
solve for x
15x -20=10x-5
Answers
Answer:
x = 3Step-by-step explanation:
\(15x -20=10x-5\)
Subtract 10x from both sides of the equation
That's
\(15x - 10x - 20 = 10x - 10x - 5 \\ 5x - 20 = - 5\)
Move - 20 to the other side of the equation
\(5x = 20 - 5 \\ 5 x = 15\)
Divide both sides by 5
\( \frac{5x}{5} = \frac{15}{5} \\ \)
We have the final answer as
x = 3Hope this helps you
Answer:
\(15x -20=10x-5\)
\(15x-20+20=10x-5+20\)
\(15x=10x+15\)
\(15x-10x=10x+15-10x\)
\(5x=15\)
\(\frac{5x}{5}=\frac{15}{5}\)
\(x=3\)
P=x-2 ÷ x+1 for what value of x is P undefined
Answers
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1
The slope of MN¯¯¯¯¯¯¯ is −3.
Which segments are parallel to MN¯¯¯¯¯¯¯?
Select each correct answer.
Responses
WX¯¯¯¯¯¯, where W is at (2, 6) and X is at (4, 0)
segment W X, , where , W, is at , begin ordered pair 2 comma 6 end ordered pair, and , X, is at , begin ordered pair 4 comma 0 end ordered pair
RS¯¯¯¯¯, where R is at (1, 3) and S is at (4, 2)
segment R S, , where , R, is at , begin ordered pair 1 comma 3 end ordered pair, and , S, is at , begin ordered pair 4 comma 2 end ordered pair
TU¯¯¯¯¯, where T is at (8, 1) and U is at (5, 10)
segment T U, , where , T , is at , begin ordered pair 8 comma 1 end ordered pair, and, U, is at , begin ordered pair 5 comma 10 end ordered pair
PQ¯¯¯¯¯, where P is at (5, 6) and Q is at (8, 7)
Answers
TU is parallel to MN.
Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.
Therefore,
Considering the line TU, find the slope = y₂-y₁ / x₂-x₁
= 10-1 / 5-8 = -9/3 = -3
Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.
Hence TU is parallel to MN.
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Whoever answers to this question first gets a thanks and please be quick
Answers
select all the equations on which the point (10, 0) lies.
Answers
Answer:
A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20
In the diagram, A is a point on the circumference of a circle with center O and radius r. A circular are with center A meets the circumference at B and C. The angle O A B is θ radians. The shaded region is bounded by the circumference of the circle and the are with center A joining B and C. The area of the shaded region is equal to half the area of the circle.
Answers
The area of the shaded region is equal to half the area of the circle.
What is the area of the circle?
The approximating parallelograms arbitrarily close and approximate the area of the circle by cutting it into ever-increasing slices.
The radius of the arc BC is |AB|=2rcosθ, and ∡AOB=π−2θ.
Dashed area= Area of sector BAC+ 2(Area of sector BOA−Area of triangleBOA)
= 1/2|AB|²(2θ)+2[1/2r²(π−2θ)−1/2r²sin(π−2θ)]
On the other hand, the area of the dashed surface is 1/2πr², then
1/2|AB|²(2θ)+2[1/2r²(π−2θ)−1/2r²sin(π−2θ)] = 1/2πr²
(2rcosθ)2(θ) + r²[π−2θ−sin(π−2θ)] = 1/2πr²
4θcos2θ+π−2θ−sin2θ = 1/2πr²
2θ(2cos2θ−1) = sin2θ−1/2π
2θcos2θ = (2sin2θ−π)/2
cos2θ = (2sin2θ−π)/4θ
Hence, the area of the shaded region is equal to half the area of the circle.
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Please help me!A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will each container hold?0.830.80.8030.83
Answers
We must divide the 5 pound bag in 6 different containers, therefore:
\(\frac{5}{6}=0.83\)Each container will hold 0.83 pet food
PLZ HELP. DUE NOW!!!!!
Since every centipede that Ricky has seen has 30 legs, he concludes that all centipedes have 30 legs. Is Ricky correct? Explain.
a) Ricky is correct because inductive reasoning yields certain truths.
b) Ricky is not necessarily correct, as his premise does not support his conclusion.
c) Ricky is not necessarily correct, as inductive reasoning does not yield certain truths.
d) Ricky is correct because his conclusion is supported by the premise.
Answers
Answer:
a because centi means 100 so he was wrong from the start and ...how the heck did he count em
Step-by-step explanation:
Answer: Ricky is correct because his conclusion is supported by the premise.
Step-by-step explanation: "a previous statement or proposition from which another is inferred or follows as a conclusion." = PREMISE
HIS PREMISE LED TO AN INFERRED CONLUSION
Make 0.26 and a fraction
Answers
Answer:13/50
Step-by-step explanation:
Answer: 26/100 or 13/50
Step-by-step explanation: 0.26 means in word form 26 hundreths. so you put 26 over 100. its your choice if you want to simplify though
Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
Answers
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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Lan pays a semiannual premium of $600
for automobile insurance, a monthly premium of $150
for health insurance, and an annual premium of $300
for life insurance.
The monthly expense is $
Answers
Answer:
$225
Step-by-step explanation:
Automobile = 600
Health insurance = 150 x 12 = 1800
Life insurance = 300
1800 + 300+600 = 2700
2700/12 = $225
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
All numbers less than 17 and greater than or equal to -8. into SET BUILDER NOTATION!!
Answers
In set builder notation, the set of all numbers larger than or equal to -8 and less than 17 can be written as:
{x | -8 <= x < 17}
An explanation of set builder notation?
A set of items can be mathematically expressed using the set builder notation. The set builder notation's syntax is {x | }, where x stands for one of the set's elements and the condition outlines the requirements that an element must meet in order to be included in the set.
In this instance, the set consists of all numbers higher than or equal to -8 and less than 17 in total. The set must satisfy the constraint
-8 <= x < 17,where x is a real value. This implies that x must exceed or equal to -8 and must be less than 17 to be a part of the set.
As a result, in set builder notation, the set of all numbers greater than or equal to -8 and less than 17 can be written as follows: {x | -8 <= x < 17}
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Hi hope you are doing well.my question: 24 less than the number of snakes is 35. I dont need this solved but I want an equation from this word sentences. Thanks!
Answers
The equation from the sentence is the following:
\(s-24=35\)Here s represents the number of snakes.
Please Help 100 points!
Answers
Answer:
RTS
Step-by-step explanation:
It ads up to 90 degrees.
Answer:
∠RTS
Step-by-step explanation:
and you said 100 points , its only 50 ..