The midline would be horizontal.
The top of the line is at 12, the bottom is at 6
The midline would be at 9
The answer is b.9
Answer:
12 es esoeso espero jijijijijijijijijiji
The length and width of a rectangle are consecutive odd integers the perimeter of the rectangle is 96 cm find the length and the width of the rectangle
The lengthof the rectangle is 23 cm and width of the rectangle is 25cm.
Consecutive odd integers are odd integers that follow each other and they differ by 2.
Given that Length and width are consecutive odd integers then
Let length be x so width will be x+2.
The \(Perimeter \ of \ Rectangle = 2 (Length \ + \ Width)\)
Perimeter of Rectangle= 96cm
\(96 = 2 (Length \ + \ Width)\\(Length \ + \ Width) = 48\\x + x + 2 = 48\\2x = 46\\x = 23\)
So, length = x = 23cm
therefore, width = x+2 = 25cm
Therefore, Length of the rectangle is 23 cm and the Width of the rectangle is 25 cm.
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what is the line into the slope intercept from of 5y-6x=5
The equation shown models the height of a 32-inch candle after lighting it, where m represents the time the candle has been burning, in minutes, and h represents the candle's height. h=32−14m If the candle's height is now 25 inches, exactly how many minutes has it been burning?
Answer:
0.5 minutes
Step-by-step explanation:
Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.
h = 32−14m
25 = 32−14m ... subtract both sides by 32
-7 = -14m ... divide both sides by -14
0.5 = m
Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.
Amy had $80 to spend on a filter. She spent 20% of the money on a filter and paid $16 to a plumber to install it. What is the percentage of the money she is left with
Amy is left with 60% of the money she had initially.
Let's break down the problem step by step:
Amy had $80 to spend on a filter.
She spent 20% of the money on a filter, which is 0.20 * $80 = $16.
After purchasing the filter, she paid $16 to a plumber to install it.
So far, Amy has spent a total of $16 + $16 = $32.
To find out how much money Amy is left with, we subtract the amount she has spent from the initial amount she had:
$80 - $32 = $48
Amy is left with $48.
To determine the percentage of the money she is left with, we can calculate what portion of the initial amount she still has:
($48 / $80) * 100 = 60%
Therefore, Amy is left with 60% of the money she had initially.
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Kayla wanted to buy a sweatshirt. The original price was $45. When she went to the store the sale price was $37. What is the percent discount on the sale price?
can someone explain how to solve this question.. it would mean a lot to me, thanks :)
Answer:
You need to cross multiply 37/45+x/100 which equals 17%
Step-by-step explanation:
The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent. This would be 17%
P = {x:x is a multiple of 4, x ≤ 20} and Q = (x:x is a multiple of 5, x ≤ 20 }
Answer:
Hope it will help you.....
Step-by-step explanation:
my answer is
P=(4,8,12,16,20)
Q=(5,10,15,20)
The set for P and Q will be {4, 8, 12, 16, 20} and {5, 10, 15, 20}, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
P = {x:x is a multiple of 4, x ≤ 20}
Then the set for P is given as,
P = 5 {4, 8, 12, 16, 20}
Q = (x:x is a multiple of 5, x ≤ 20 }
Then the set for Q is given as,
Q = 4 {5, 10, 15, 20}
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the sum of four consecutive integers is 462. find the integers
Answer:
114, 115, 116, and 117
Step-by-step explanation:
Let x be the first integer.
The 4 consecutive integers would be:
x
x+1
x+2
x+3
Their sum is 462
----
x+(x+1)+(x+2)+(x+3) = 462
4x + 6 = 462
4x = 456
x = 114
The four consecutive integers would be:
114, 115, 116, and 117
Check: Do these add to 462? Yes.
a crowbar of 2cm is used to lift an object if 800N. if the effort arm is 260cm. calculate the effort applied.
Answer:
solution:Here
Given,
Load=800 N
Load distance=2cm
Effort distance=260cm
Effort applied=?
We know that,
Load × Load distance = Effort × Effort distance
or, 800×2 = e × 260
or,1600 = 260e
or,e = 1600/260
Thus, e = 6.15 N
Hence, The effort applied = 6.15 N
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What does 1/3 ÷ 5/6 equal?
Answer:
It would equal 2/5. First flip the 5/6 so then it would be 6/5. Then the 3 and 6 can cross cancel so it would equal to 2 in the numerator.
In a lucky draw, a winning ticket is to be drawn from 200 tickets numbered 1 to 200. Andy holds 1 ticket, Joe holds 9 tickets and Sam holds 4 tickets. What is the probability of each of them winning a prize?
Answer:
The probability of winning a prize is the number of tickets held by the person divided by the total number of tickets.
Step-by-step explanation:
Andy holds 1 ticket, so his probability of winning is 1/200.
Joe holds 9 tickets, so his probability of winning is 9/200.
Sam holds 4 tickets, so his probability of winning is 4/200.
Therefore, Andy has the lowest probability of winning, Joe has the highest probability of winning, and Sam has a probability of winning that is in between Andy and Joe.
What is it? Do y’all know
Answer: I believe it is ZERO
Step-by-step explanation:
Answer:
No Solution
Source: cymath.com
Step-by-step explanation:
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Step-by-step explanation: As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Answer:
121 units²
Step-by-step explanation:
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Volume = s³
s = 4×2+3
so
(4 × 2 + 3)² = (remember PEMDAS)
(8 + 3)² =
11² =
121 units²
Evaluate 15 − 6(7 + 5) ÷ 32.
an online clothing company sells custom sweatshirts. the company charged 4.99 for shipping plus 5.00 for each sweatshirt. write a linear rule that modesl the todal cost y in dollars for any number of sweatshirts x.
The linear function is 8.50x + 5.50 and a $5.50 delivery fee would be included in the price of each hoodie purchased.
Part 1
The linear function rule is used in cases with only one shipping charge.
= 8.50x + 5.50, where x is the number of sweatshirts and y is the total cost in dollars.
Part 2
The linear function rule would be y = 8.50x + 5.50x = 14x, where y is the total cost in dollars and x is the number of sweatshirts if the shipping fee is applied to each sweatshirt. This implies that the $5.50 delivery fee would be included in the price of each hoodie purchased.
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A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:115, colon, 1. He currently has
40
4040 grams of the spice blend, and he can go buy more if necessary. He wants to make
10
1010 servings, where each serving has
75
7575 grams of rice. Overall, David spends
4.50
4.504, point, 50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Step-by-step explanation:
David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.
Keiko runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
4.8 miles
Step-by-step explanation:
Set up a ratio, Kelvin.
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO
In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Jan 293 18 311 1,507 16.25%
Feb 296 15 311 1,212 32.67%
Mar 298 12 311 913 49.25%
Apr 301 9 311 612 66.00%
May 304 6 311 308 82.92%
Jun 308 3 311 0 100.00%
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Consider the midpoint of the diagonal AC.
A (3, -1) and C(7,-5)
The midpoint of diagonal AC is (5,-3).
Given A(3,-1) and C(7,-5)
Let the midpoint of diagonal AC be represented by P (say). Then the coordinate of P can be calculated by using the formula listed below:
let us suppose the coordinates of A be (a, b) and B be (c, d) and P is the midpoint of AC then the coordinate of P will be (a+c/2, b+d/2).
Now, by using the above formula, we get
x-coordinate of P be (3+7)/2 = 10/2 = 5
y-coordinate of P be (-1+(-5))/2 = -6/2 = -3
∴ The coordinate of midpoint of AC i.e., P be (5, -3).
Hence, the midpoint of diagonal AC is (5,-3).
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What is the property used in 25+0=25
math teacher said its associative
What is the area of one petal of r = 6 sin 2theta?
a. phi /8 b. 9phi/8 c. 25phi/8 d. phi/5 e. 9phi/2 f. 5phi g. phi/20 h. 9phi/5 i. 25phi/2 j. phi/2
The area of one petal of r = 6 sin 2theta is b. 9π/8.
The area of one petal can be found by integrating the equation r = 6 sin 2θ from 0 to π/4. This gives us the following area:
Code snippet
A = 1/2 * ∫_0^(π/4) (6 sin 2θ)^2 dθ
= 1/2 * ∫_0^(π/4) 36 sin^2 2θ dθ
= 1/2 * ∫_0^(π/4) (1 - cos 4θ) dθ
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We can then use the following identity to evaluate the integral:
Code snippet
∫_0^(π/4) (1 - cos 4θ) dθ = θ - 1/4 sin 4θ
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This gives us the following area for one petal:
Code snippet
A = 1/2 * θ - 1/4 sin 4θ
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Evaluating this at θ = π/4 gives us the following area:
Code snippet
A = 1/2 * (π/4) - 1/4 sin (π/2)
= 9π/8
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Here is a more detailed explanation of the steps involved in finding the area of one petal:
First, we need to find the equation of the petal. The equation of the petal is given by r = 6 sin 2θ.
Next, we need to find the limits of integration. The limits of integration are from 0 to π/4. This is because the petal is located in the first quadrant, and it goes from the origin to the point (3, 0).
Once we have the equation of the petal and the limits of integration, we can integrate the equation to find the area of the petal. The integral is as follows:
Code snippet
A = 1/2 * ∫_0^(π/4) (6 sin 2θ)^2 dθ
= 1/2 * ∫_0^(π/4) 36 sin^2 2θ dθ
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We can then use the following identity to evaluate the integral:
Code snippet
∫_0^(π/4) (1 - cos 4θ) dθ = θ - 1/4 sin 4θ
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This gives us the following area for one petal:
Code snippet
A = 1/2 * θ - 1/4 sin 4θ
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Evaluating this at θ = π/4 gives us the following area:
Code snippet
A = 1/2 * (π/4) - 1/4 sin (π/2)
= 9π/8
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Find x (I have a picture of the problem)
Answer:
well, am confidnet that it is 4
Step-by-step explanation:
An analyst for FoodMax estimates that the demand for its "Brand X" potato chips is given by: In Qyd = 10.34 – 3.2 In Px+4Py+ 1.5 In Ax = where Qx and Px are the respective quantity and price of a four-ounce bag of Brand X potato chips, Pyis the price of a six-ounce bag sold by its only competitor, and Axis FoodMax's level of advertising on brand X potato chips. Last year, FoodMax sold 5 million bags of Brand X chips and spent $0.25 million on advertising. Its plant lease is $2.5 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.5 million; payments to employees (all of whom earn annual salaries) were $0.5 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.5 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of Brand X potato chips? Instructions: Enter your response rounded to the nearest penny (two decimal places). $
The profit-maximizing price for a bag of Brand X potato chips is approximately $3.35.
To determine the profit-maximizing price, we need to find the price that maximizes the profit function. The profit function can be expressed as follows:
Profit = Total Revenue - Total Cost
Total Revenue (TR) is calculated by multiplying the quantity sold (Qx) by the price (Px):
TR = Qx * Px
Total Cost (TC) includes the costs of advertising, plant lease, depreciation, employee payments, and the costs of raw materials:
TC = Advertising Cost + Plant Lease + Depreciation + Employee Payments + Raw Material Costs
Given the information provided, last year FoodMax sold 5 million bags of Brand X chips, spent $0.25 million on advertising, and incurred costs of $2.5 million for raw materials.
To find the profit-maximizing price, we differentiate the profit function with respect to Px and set it equal to zero:
d(Profit)/d(Px) = d(TR)/d(Px) - d(TC)/d(Px) = 0
The derivative of the total revenue with respect to the price is simply the quantity sold:
d(TR)/d(Px) = Qx
The derivative of the total cost with respect to the price is found by substituting the given demand equation into the cost equation and differentiating:
d(TC)/d(Px) = -3.2 * Qx
Setting these two derivatives equal to each other:
Qx = -3.2 * Qx
Simplifying the equation:
4.2 * Qx = 0
Since the quantity sold cannot be zero, we solve for Qx:
Qx = 0
This implies that the quantity sold, Qx, is zero when the price is zero. However, a price of zero would not maximize profit.
To find the profit-maximizing price, we substitute the given values into the demand equation:
5 million = 10.34 - 3.2 * Px + 4 * Py + 1.5 * 0.25
Simplifying the equation:
5 million = 10.34 - 3.2 * Px + 4 * Py + 0.375
Rearranging terms:
3.2 * Px = 14.34 - 4 * Py
Substituting the given value of Py as 0 (since no information is provided about the competitor's price):
3.2 * Px = 14.34 - 4 * 0
Simplifying:
3.2 * Px = 14.34
Dividing both sides by 3.2:
Px = 4.48
Thus, the profit-maximizing price for a bag of Brand X potato chips is approximately $4.48. However, since the price is limited to the nearest penny, the profit-maximizing price would be approximately $4.48 rounded to $4.47.
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help plea i am beg screenshot in
Answer:
SA = 105 in^2
Step-by-step explanation:
To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.
Area of a triangle:
A = 1/2b•h
= 1/2• 5 • 8
= 1/2 • 40
= 20
One triangle has area 20, so times by 4 (bc four triangles)
4•20
= 80
Area of square 5•5
= 25
Add the areas:
80 + 25
= 105 sq in
Solve the equation for the letter d: C= (3.14)(d)
Answer:
d = \(\frac{C}{3.14}\)
Step-by-step explanation:
Given
C = 3.14d ( isolate d by dividing both sides by 3.14 )
\(\frac{C}{3.14}\) = d
An amount of 3560 is decreased by 35.5% every year how much will it be worth after eight years
Kobe is twice as old as Lebron. The sum of their ages is 48. How old are each of them?
Answer:
37 is LeBron 41 years old is kobe
Julie has $7.15 she wants to buy a book for $9.99 how much money does she need
Answer:
9.99
Step-by-step explanation:
7.15+2.84
a rectangle is 6 feet longer than it is wide. find the dimensions of the rectangle if its area is 253 sq-feet.
The rectangle's measurements are 13.2 feet wide by 19.2 feet long, giving it a total area of 253 square feet.
What is area?The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Here,
length of rectangle=l
width=w
l=w+6
area=l*w
253=(w+6)*w
w²+6w-253=0
w=13.2 feet
l=19.2 feet
The dimensions for the rectangle that have area as 253 sq-feet will be 13.2 feet as width and 19.2 feet as length.
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Find f(t). ℒ−1 1 (s − 4)3.
The function f(t) is: f(t) = (1/2) * t^4 e^(4t)
To find f(t), we need to take the inverse Laplace transform of 1/(s-4)^3.
One way to do this is to use the formula:
ℒ{t^n} = n!/s^(n+1)
We can rewrite 1/(s-4)^3 as (1/s) * 1/[(s-4)^3/4^3], and note that this is in the form of a shifted inverse Laplace transform:
ℒ{t^n e^(at)} = n!/[(s-a)^(n+1)]
So, we have a=4 and n=2. Plugging in these values, we get:
f(t) = ℒ^-1{1/(s-4)^3} = 2!/[(s-4)^(2+1)] = 2!/[(s-4)^3] = (2/2!) * ℒ^-1{1/(s-4)^3}
Using the table of Laplace transforms, we see that ℒ{t^2} = 2!/s^3, so we can write:
f(t) = t^2 * ℒ^-1{1/(s-4)^3}
Therefore,
f(t) = t^2 * ℒ^-1{1/(s-4)^3} = t^2 * (2/2!) * ℒ^-1{1/(s-4)^3}
f(t) = t^2 * ℒ^-1{1/(s-4)^3} = t^2 * ℒ^-1{ℒ{t^2}/(s-4)^3}
f(t) = t^2 * ℒ^-1{ℒ{t^2} * ℒ{1/(s-4)^3}}
f(t) = t^2 * ℒ^-1{(2!/s^3) * (1/2) * ℒ{t^2 e^(4t)}}
f(t) = t^2 * ℒ^-1{(1/s^3) * ℒ{t^2 e^(4t)}}
Using the formula for the Laplace transform of t^n e^(at), we have:
ℒ{t^n e^(at)} = n!/[(s-a)^(n+1)]
So, for n=2 and a=4, we have:
ℒ{t^2 e^(4t)} = 2!/[(s-4)^(2+1)] = 2!/[(s-4)^3]
Substituting this back into our expression for f(t), we get:
f(t) = t^2 * ℒ^-1{(1/s^3) * (2!/[(s-4)^3])}
f(t) = t^2 * (1/2) * ℒ^-1{1/(s-4)^3}
f(t) = t^2/2 * ℒ^-1{1/(s-4)^3}
Therefore,
f(t) = t^2/2 * ℒ^-1{1/(s-4)^3} = t^2/2 * t^2 e^(4t)
f(t) = (1/2) * t^4 e^(4t)
So, the function f(t) is:
f(t) = (1/2) * t^4 e^(4t)
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