Answer:
The perimeter is:
(3rd option) 2(x + y)
(5th option) 2x + 2y
The area is:
(7th option) xy
Step-by-step explanation:
Perimeter = the length (represented by y) + the width (represented by x) + length + width
Another way to state this is multiplyimg length by 2 and width by 2 and then adding them together as this equals the same outcome
Area = length (y) × width (x)
Question 10 of 10
James wants to tile his floor using tiles in the shape of a trapezoid. To make
the pattern a little more interesting he has decided to cut the tiles in half
along the median. The top base of each tile is 15 inches in length and the
bottom base is 21 inches. How long of a cut will John need to make so that
he cuts the tiles along the median?
O A. 18 inches
B. 36 inches
O C. 3 inches
D. 6 inches
Answer:
18 inches
Step-by-step explanation:
The median of a trapezoid is the average of the lengths of the bases.
15 + 21 = 36
36 ÷ 2 = 18
good luck, i hope this helps :)
Answer:
18 inches
Step-by-step explanation:
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Please make Y=x+12 and 4x+2y=27 into one equation.
Answer: 4x+2(x+12)=27
Step-by-step explanation: The first equation, y=x+12 shows what y is, so you can just add it into the equation with parentheses. If the y is next to a number, it means that whatever y is (in this case, it’s x+12), y will multiply by the number next to it, (2, in this case). Then you can just solve from there for x.
Translate the triangle.
Anyways but I’ve been on this question for about 20 minutes because I can’t find the answer anywhere.
Answer:
A: (2,2) B: (3,-1) C: (-1,0)
Step-by-step explanation:
Change the coordinates of each point using the given translation. So 2 left 3 up.
Rework the problem so that you pay off the lower interest card first. 5) How much money do you save by paying off the higher interest card first?
By paying off the higher interest card first, we save $1932 - $1579 = $353 in interest charges over the course of 56 months.
The conventional method is to pay off the credit card with the highest interest rate first if we have two credit cards with differing interest rates. We can figure out how much money we save by reworking the issue to pay off the card with the lowest interest rate first.
Consider that we have two credit cards: Card A, which has a $5,000 debt and a 15% interest rate, and Card B, which has a balance of $3,000 and a 10% interest rate. We can save money by lowering the interest paid on Card B while still making minimum payments on Card A if we pay that card off first.
It would take us around 22 months to pay off Card B and 36 months to pay off Card A if we made the minimum payments of $300 on Card B and $150 on Card A each month. We would pay interest on Card A in total of $1932 and Card B in total of $386 throughout this time.
Instead, if we pay off Card A first, we would devote the remaining $300 to Card A until it is completely paid off while continuing to make the minimum payments on Card B. We would need around 24 and 32 months, respectively, to pay off Card A and Card B. We would pay interest on Card A for a total of $1579 and Card B for a total of $282 during this time.
We therefore save $1932 - $1579 = $353 in interest fees over the course of 56 months by paying off the higher rate card sooner.
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Need Help on this problem
Answer:
Marginal Average Cost Function C'(x) = 5.7
Step-by-step explanation:
The Marginal Average Cost is just the first differential of the Cost Function
\(\dfrac{d}{dx} C(x) = \dfrac{d}{dx}(161) + \dfrac{d}{dx}(5.7x)\\\\\\The first differential of a constant is 0 and the first differential of ax is a \\\\So ,\\\\\dfrac{d}{dx} C(x) = 0 + 5.7 = 5.7\)
This means that as x increases by 1 unit, cost increases by 5.7 units. x presumably refers to the number of units produced
The Marginal Revenue can be found the same way
\(\dfrac{d}{dx} R(x) = \dfrac{d}{dx}6x - \dfrac{d}{dx}(0.08x^2)\\\\\dfrac{d}{dx}6x = 6\\\\\dfrac{d}{dx}(0.08x^2) = (2)(0.08)x\)
\(= 0.16x\) since \(\dfrac{d}{dx} (x^2) = 2x\)
A fair number cube with 1, 2, 3, 4, 5 and 6 on its faces is rolled once. The dot on the number line below represents the probability of an event.
The probability of rolling a specific number is 1/6 or approximately 0.1667.
When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.
The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.
For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.
In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.
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use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
what is the average rate of change of the equation f(x)=x^2+3x-5 from x=2 to x=4
The formula to calculate the average rate of change is as follows:
\(R=\frac{f(b)-f(a)}{b-a}\)Where "a" represents the starting point and "b" the ending point.
So, a = 2 and b = 4 in this case, so we have:
\(\begin{gathered} a=2 \\ f(a)=f(2)=2^2+3\cdot2-5=4+6-5=5 \\ b=4 \\ f(b)=f(4)=4^2+3\cdot4-5=16+12-5=23 \end{gathered}\)Thus:
\(R=\frac{23-5}{4-2}=\frac{18}{2}=9\)The average rate of change is 9.
0.000549 in scientific notation
Answer: 5.49 × 10-4
Step-by-step explanation:
When you move the decimal over move it over to the right by 4 units.
When you move right it is (-) negative. So you get 5.49 x 10-4.
A) 2x + 2y = 10
B) 12 + 4y= -4y
Slope Intercept Equation?
Para, Perp. or Neither?
Use both equations convert into slop intercept and see if there parallel or perpendicular or neither
this is for B.) and I'm going to do a right quick
Which of the scenarios below are considered seller-based discounts? options are in the picture
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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What is the perimeter of a rectangle with workings
Answer:
See below
Step-by-step explanation:
The perimeter of a rectangle is \(P=2L+2W\) where L is the length and W is the width.
which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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Can someone answer this for me
The linear equation graphed is given by:
y - 5 = 3(x - 1).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In point-slope form, considering a point \((x_0, y_0)\), the equation is:
\(y - y_0 = m(x - x_0)\)
The line goes through points (0,2) and (1,5), hence the slope is:
m = (5 - 2)/(1 - 0) = 3.
Since the line goes through point (1,5), the equation is:
y - 5 = 3(x - 1).
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If i already have the area of a circle which is: 197.2. how do i find the radius, diameter, and the circumference? please help me
Answer:
how you find it id dive the radius by the undercore of the problem
Step-by-step explanation:
In BCD, the measure of
Answer:
sorry,
I think u got yr question incomplete
u can post another one
stay safe healthy and happy.Which choice shows the solution to 5\8=d/176
Answer:
B
Step-by-step explanation:
5/8 = 0.625
0.625 x 176 = 110
Answer:
he or she is right its B
Step-by-step explanation: i passed
If 5log44x = 15, what is the value of x?
3
4
8
16 (the answer)
Answer:
16.8
Step-by-step explanation:
bicuse i have award so im smart thanks for brainlest
Answer:
16
Step-by-step explanation:
yas ssss pur it's right
Write a linear equation for the line represented by the table above.
Ryan had some candy to give to his five children. He first took eight pieces for
himself and then evenly divided the rest among his children. Each child received four pieces. With how many pieces did he
start?
Answer:
28 pieces
Step-by-step explanation:
5 kids x 4 pieces = 20 pieces
20 + dad's 8 pieces = 28 pieces of candy
8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.
Answer:
8.) 8,780 toffees can be stored in 122 such bags.
9.) 2,460 people are required to control the working of 88 such stations.
Step-by-step explanation:
QUESTION 8:
We know that there are 72 toffees per bag
So if we want to know how many toffees can be stored in 122 such bags:
72 x 122 = 8,784
ROUND IT TO THE NEAREST TENS:
Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.
So 8,784 rounded to tens is 8,780
Tye answer for question 9 is
2,460 (do the same thing)
A summer camp rewards campers and counselors with badges. The camp orders 200 badges. They plan to give 25 badges to counselors. They ordreed at least 3 badges for each camper.
a. How many campers could be at the camp?
b. Are all the values on the graph of c is less than or equal to 58 possible solutions? Explain.
correct answer gets a brainless
Answer:
58 campers,
Step-by-step explanation:
you do 200 - 25 then 175 divided by 3
Katies computer downloaded 15 songs . This is 30% of the songs she need to download . how many songs does she need to download
Answer:
50
Step-by-step explanation:
Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average age in the sample was 31 years with a standard deviation of 3.8 years.The Margin of error of the 99% confidence interval for the average age of the consumers is a.1.90 years b.2.13 years c.4.10 years d.1.65 years
Answer:
a.1.90 years
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 Ztable as such z has a pvalue of \(1-\alpha\).
So it 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.
In this question:
\(n = 25, \sigma = 3.8\)
So
\(M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90\)
So the correct answer is:
a.1.90 years
5^11/5^?=5^4 i need help with this
Answer:
7
Step-by-step explanation:
you do 11-4 to get 7, which is how you solve for missing expontentials
Step-by-step explanation:
\( \frac{ {5}^{11} }{ {5}^{x} } = {5}^{4} \\ {5}^{x} = \frac{ {5}^{11} }{ {5}^{4} } \\ {5}^{x} = {5}^{(11 - 4)} = {5}^{7} \\ \boxed{x = 7}\)
7 is the right answer.Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return
The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, the graph of a hyperbola is shown.
In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.
The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.
The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.
A fraction with a denominator of zero cannot exist.
The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.
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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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These are not college level, I don't think.
Answer:
x=(-3)/b WHEN b=3 x=(-1)
Step-by-step explanation:
-2bx+10=16
-2bx=6
bx=-3
b=-3/x
x=-3/b
General Mills is testing 12 new cereals for possible production. They are testing 3 oat cereals, 5 wheat cereals, and 4 rice cereals. If each of the 12 cereals has the same chance of being produced,
and 4 new cereals will be produced, determine the probability that of the 4 new cereals that will be produced, 2 are oat cereals, 1 is a wheat cereal, and 1 is a rice cereal.
The probabilis
(Type an integer or a simplified fraction.)
Using the combination formula, the probability that of the 4 new cereals that will be produced, 2 are oat cereals, 1 is a wheat cereal, and 1 is a rice cereal is of 4/33.
Combination Formula\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
This formula is used when the order in which the objects are chosen is not important, as is the case in this problem.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
For the total outcomes, 4 cereals are taken from a set of 12, hence:
\(T = C_{12,4} = \frac{12!}{4!8!} = 495\)
For the desired outcomes, we have that:
2 oat are taken from a set of 3.1 wheat is taken from a set of 5.1 rice is taken from a set of 4.Hence the number is:
\(D = C_{3,2}C_{5,1}C_{4,1} = \frac{3!}{2!1!} \times \frac{5!}{1!4!} \times \frac{4!}{1!2!} = 3 \times 5 \times 4 = 60\)
Hence the probability is:
p = 60/495.
Both numbers can be simplified by 5, hence:
p = 12/99.
They can also be simplified by 3, hence:
p = 4/33.
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