Which expression is equal to 4y?
y + 3
y2 + y2
3y + 1
y + y + y + y
Answer:
D. y + y + y + y
Step-by-step explanation:
For 2020, Vaughn Manufacturing reports beginning of the year total assets of $891000, end of the year total assets of $1070000, net sales of $1020000, and net income of $203000.
The rate of return on assets for Vaughn in 2020 is
20.7%.
16.7%.
22.8%.
19.0%.
The rate of return on assets for Vaughn in 2020 is 20.7%.
Using this formula
Rate of return on assets=Net income/Average total assets
Let plug in the formula
Rate of return on assets=$203,000/($891000+$1070000)/2
Rate of return on assets=$203,000/($1,961,000/2)
Rate of return on assets=$203,000/$980,500
Rate of return on assets=0.2070×100
Rate of return on assets=20.7%
Inconclusion the rate of return on assets for Vaughn in 2020 is 20.7%.
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Identify the common difference.
-6, -3, 0, 3, 6....
Answer:
3
Step-by-step explanation:
by using formula
t²-t¹
which means
-3-(-6)
=3
Answer:
3
Step-by-step explanation:
-6+3 = -3
-3+3 =0
0+3 =3
3+3 =6
A caterer combines 3 quarts of orange juice, 5 pints of milk, and 5 cups of pineapple juice to make smoothies. How many cups can be filled with smoothies? Explain
The number of cups which can be filled by smoothy are 27.
Definition of measuring:
Finding a number that represents the amount of anything is called measurement. A measuring unit is a unit of measurement for expressing a physical quantity. Then,
3 quarts = 12 cups
5 pints = 10 cups
and you're told there'll be another 5 cups.
12 + 10 + 5
= 27
The number of smoothie glasses that can be filled is 27.
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Ryan went to the store to buy some apples. The price per pound of the apples is $4.25 per pound and he has a coupon for $2 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
x = pp(4.25)-2
Step-by-step explanation:
x is the cost
I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
The shape is being enlarged using a scale factor of 2 and centre (6,3).
The coordinates of A' and B' include the following:
A' (4, 7).
B' (10, 9).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 2 centered at the point (6, 3) by using the following mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
For coordinate A', we have;
Coordinate A' = (5, 5) → (2(5 - 6) + 6, 2(5 - 3) + 3)
Coordinate A' = (5, 5) → (2(-1) + 6, 2(2) + 3)
Coordinate A' = (5, 5) → (-2 + 6, 4 + 3)
Coordinate A' = (5, 5) → (4, 7)
For coordinate B', we have;
Coordinate B' = (8, 6) → (2(8 - 6) + 6, 2(6 - 3) + 3)
Coordinate B' = (5, 5) → (2(2) + 6, 2(3) + 3)
Coordinate B' = (5, 5) → (4 + 6, 6 + 3)
Coordinate B' = (5, 5) → (10, 9)
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Determine the most possible complex zeros of the following function:
f(x) = 3x4 - 7x +3
Answer:
In my screenshot
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
descartes rule of signs to test maximum positive and negative:
3x4 - 7x + 3
two sign changes, so maximum of 2 positive real zeroes
3x4 + 7x + 3
no sign changes, so maximum of 0 negative real zeroes
this means that we can have 2 or 0 real zeroes.
if we have 0 real zeroes, we will have 4 imaginary.
therefore the most possible number of complex roots is 4
The reciprocal of 7 1/2 is
Answer:
2/15
Step-by-step explanation:
To find the reciprocal of a fraction switch the numerator and the denominator
7 1/2 = 15/2 = 2/15
Have a good day
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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Which expression is equivalent to ?
The value of x equals the number of cubric units in a box that is 4 units high , 4 units deep, and 4 units wide. which equation can be used to determine the value of x ?
Answer:
the equation for the question is x+4+4+4
Calculate the surface area
To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:
Length = 8 cmWidth = 3 cmHeight = 6 cmRefer to the attachment below.
Three pairs of facesThere are three pairs of faces on a rectangular prism:
Two faces (top & bottom) with dimensions: Length × Width (8 cm × 3 cm).Two faces (front & back) with dimensions: Length × Height (8 cm × 6 cm).Two faces (left & right) with dimensions: Width × Height (3 cm × 6 cm).Finding the areaArea of Length × Width faces8 cm × 3 cm = 24 cm²
Since there are two of these faces, the total area is:
2 × 24 = 48 cm²
Area of Length × Height faces8 cm × 6 cm = 48 cm²
Since there are two of these faces, the total area is:
2 × 48 = 96 cm²
Area of Width × Height faces3 cm × 6 cm = 18 cm²
Since there are two of these faces, the total area is:
2 × 18 = 36 cm²
Adding the areas of the facesNow, add up the areas of all six faces:
Surface Area = 48 + 96 + 36 = 180 cm²
AnswerSo, the surface area of the rectangular prism is 180 cm².
________________________________________________________
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Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Marta is shopping where there is a sales tax of 8\%8%8, percent on any item she buys.
1. Write an equation that represents how much tax (ttt) Marta pays on an item whose price is ppp dollars.
2. How much tax does Marta pay on an item whose price is \$ 20$20dollar sign, 20?
\$$dollar sign
1. An equation that represents "the amount of tax on an item of price p",
t = p x X / 100
2. Marta does pay on an item whose price is $20, $1.6
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".
Given that,
Tax rate = 8%
1. Let's assume that the sales tax rate is X%.
Then, the equation that represents the amount of tax (t) Marta pays on an item whose price is p can be written as:
t = p x X / 100
2. If the price of the item is $20, the amount of tax Marta pays can be calculated as follows:
t = $20 x X / 100
t = $20 x 8 / 100
t = $1.6
So, Marta pays $1.6 in sales tax on an item whose price is $100.
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-3b+7=13 solve for b
Answer:
b =-2
Step-by-step explanation:
-3b+7=13
Subtract 7 from each side
-3b+7-7=13-7
-3b = 6
Divide each side by -3
-3b/-3 = 6/-3
b = -2
Answer:
b=-2
Step-by-step explanation:
-3b+7=13
-7 -7
-3b=6
/-3 /-3
b=-2
Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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Each of the following people bought a watch that costs 300. Which of the following people will pay the most for their purchase
The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month
Which individual will pay the most?The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.
Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.
Complete Question:
Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month
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Let Q be in the interior of RST. find the measure of each angle using the angle addition postulate and explain how you found each angle measure
Answer in a simple way please (:
Using the angle addition postulate, the angle measures are:
\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)
(See the image attached below showing the angles given.)
Recall:
The angle addition postulate states that two smaller angles within a bigger angle will add up to give the sum of the larger one.
Given:
\(m \angle RST = 3x + 7\\\\m \angle QST = 5x - 2\\\\m \angle RST = 61\)
Thus:\(m\angle RSQ + m\angle QST = m\angle RST\) (angle addition postulate)
Substitute\(3x + 7 + 5x - 2 = 61\)
Add like terms\(8x + 5 = 61\\\)
Subtract 5 from each side\(8x + 5 = 61\\\\8x = 61 - 5\\\\8x = 56\)
Divide both sides by 8\(x = 7\)
Find \(m \angle RSQ\)\(m\angle RSQ = 3x + 7\)
Plug in the value of x\(m\angle RSQ = 3(7) + 7\\\\m\angle RSQ = 28^{\circ}\)
Find \(m \angle RSQ\)\(m\angle QST= 5x - 2\)
Plug in the value of x\(m\angle QST= 5(7) - 2\\\\m\angle QST= 33^{\circ}\)
Therefore, using the angle addition postulate, the angle measures are:
\(m\angle RSQ = 28^{\circ}\\\\m\angle QST= 33^{\circ}\)
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Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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correct?`````````````````````````````
Answer:
Yes
Step-by-step explanation:
Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
Answer:
9 > 10
Step-by-step explanation:
90 = 9
100 = 10
answer = 9.10
Given a and b are the first-quadrant angles, sin a=5/13, and cos b=3/5, evaluate sin(a+b)1) -33/652) 33/653) 63/65
We know that angles a and b are in the first quadrant. We also know this values:
\(\begin{gathered} \sin a=\frac{5}{13} \\ \cos b=\frac{3}{5} \end{gathered}\)We have to find sin(a+b).
We can use the following identity:
\(\sin (a+b)=\sin a\cdot\cos b+\cos a\cdot\sin b\)For the second term, we can replace the factors with another identity:
\(\sin (a+b)=\sin a\cdot\cos b+\sqrt[]{1-\sin^2a}\cdot\sqrt[]{1-\cos^2b}\)Now we know all the terms from the right side of the equation and we can calculate:
\(\begin{gathered} \sin (a+b)=\sin a\cdot\cos b+\sqrt[]{1-\sin^2a}\cdot\sqrt[]{1-\cos^2b} \\ \sin (a+b)=\frac{5}{13}\cdot\frac{3}{5}+\sqrt[]{1-(\frac{5}{13})^2}\cdot\sqrt[]{1-(\frac{3}{5})^2} \\ \sin (a+b)=\frac{15}{65}+\sqrt[]{1-\frac{25}{169}}\cdot\sqrt[]{1-\frac{9}{25}} \\ \sin (a+b)=\frac{15}{65}+\sqrt[]{\frac{169-25}{169}}\cdot\sqrt[]{\frac{25-9}{25}} \\ \sin (a+b)=\frac{15}{65}+\sqrt[]{\frac{144}{169}}\cdot\sqrt[]{\frac{16}{25}} \\ \sin (a+b)=\frac{15}{65}+\frac{12}{13}\cdot\frac{4}{5} \\ \sin (a+b)=\frac{15}{65}+\frac{48}{65} \\ \sin (a+b)=\frac{63}{65} \end{gathered}\)Answer: sin(a+b) = 63/65
What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
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Which describes the relationship between the distance and the difference?\
Answer:
The distance is always the opposite of the difference.The distance is the absolute value of the difference.
Hope it helps you.Have a nice day!!Answer:
The distance is the absolute value of the difference
Step-by-step explanation:
Sum is the when 2 or more numbers are added . Difference is the quantity at which 2 numbers differ i.e difference between 9 and 7 is 2. If you are talking about distance in reference to segment the distance ishow far apart two points are.
A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] … The positive whole number N, when multiplied by 150, is a perfect square.
Answer:
6
Step-by-step explanation:
The computation of the least possible whole number is shown below:
Here we need the factors of 150 i.e.
= 3 × 5 × 2 × 5
Here we can add to one box and the 5 to the other box
And, now if we can add 3 to one box and in the other we can add 2 so they cant be equal to each other
Now lets try 5 × 6 and 5
So, here The perfect square is 900
= 30 × 30
= 900
Hence, the number would be 6
Austin removed 16 fish from his pond over a period of 2 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?
Answer:
-8
Step-by-step explanation:
if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.
Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
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The identity function on A, idA: A →A is defined by idA(a) = a.
1. (a) We defined a function as a relation with a particular property, thus
we can talk about properties of relations. Prove that if f : A →A
is reflexive, then f =idA.
(b) Prove that if f is symmetric then the function f^2 : A →A defined
by f^2(a) = f (f (a)) is the identity.
(c) Prove that if f is transitive then the function g : im(f) →im(f) given
by g(f (a)) = f (f (a)) is the identity on im(f) .
These are just sketches, you should polish them yourself. In analogy to relations, I will write aFb to mean the statement f(a) = b.
(a) aFa, so f(a) = a. This is the definition of the identity function.
(b) aFb => bFa, so f(a) = b and f(b) = a. Therefore f(f(a)) = a by substitution, and hence f^2 is the identity function.
(c) aFb and bFc => aFc. So f(f(a)) = c, and f(a) = c. Thus f(c) = c, which is the identity. Make sure you sort out the im(F) stuff when you clean this up.