The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = ℓw. Use the given numbers to write and solve an equation to find the width, w, of the picture frame.
Answer: w=8.5
Step-by-step explanation:
Just did it.
Pls help me with this question!!!!!
Answer:
D
3,6,9,12,15,18,21,24,27,30,10,20,25
Which Operation would you use to solve each equation? Match each equation to the correct category
Use Addition to Solve
Use Subtraction to Solve
a-6.8=9.3
7=m+1.2
4+ y = 13
2=1-1
Equation one can be solved by additive property two by subtractive property.
What is an equation?A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.
It demonstrates the equality of the relationship between the printed statements on the left and right.
Left side equals right side in all formulas.
To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.
A statement is not an equation if it lacks the equals sign.
When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.
7=m+1.2
m=7-1.2
6.8
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A prescription drug company produces a capsule shaped like a cylinder with a hemisphere attached to each base. The cylinder and hemispheres all have a diameter of 8 millimeters, and the cylinder has a height of 15 millimeters. The outside of the capsule is coated with a film to improve the flavor and protect the medicine.What is the approximate area of the capsule that is coated with the film?
A triangular pane of glass has a height of 32 inches and an area of 416 square inches. What is the length of the base of the pane?
Answer:
26
Step-by-step explanation:
The way to find the area of a triangle is 1/2(b)h=A. Knowing this, we can substitute and solve:
416=1/2(32)h
Multiply:
416=16*h or 16h.
To isolate h, we need to divide both sides of the equation by 16. When we do this, we get:
h=26
Hope this helped!
Someone help me out plzz
Answer:
with what? You forget to attach the problem lol
Step-by-step explanation:
Answer: What is the question you need help with??
Step-by-step explanation:
One month before the election, a poll of 630 randomly selected voters showed 54% planning to vote for a certain candidate. A week later, it became known that he had tweeted inappropriate pictures of himself, and a new poll showed only 51 % of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy? Test an appropriate hypothesis and state your conclusion
To determine whether there is a decrease in voter support for the candidate after the scandal, we can test the hypothesis using the proportions of the two polls. The first poll showed 54% support among 630 randomly selected voters, while the second poll showed 51% support among 1010 voters. By conducting a hypothesis test, we can determine if the difference in proportions is statistically significant.
To test the hypothesis, we can use the two-sample z-test for proportions. The null hypothesis (H0) assumes no difference in voter support, while the alternative hypothesis (H1) assumes a decrease in support. We can calculate the test statistic using the formula:
z = (p1 - p2) / √[(p(1 - p) / n1) + (p(1 - p) / n2)]
where p1 and p2 are the proportions from the two samples, and n1 and n2 are the respective sample sizes. p is the pooled proportion, calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the respective number of successes (votes for the candidate) in each sample.
By calculating the z-value, we can compare it to the critical value for the desired significance level (e.g., α = 0.05). If the z-value exceeds the critical value, we reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant decrease in voter support.
After performing the calculations, if the z-value exceeds the critical value, we can conclude that there is evidence to support the claim of a decrease in voter support for the candidate after the scandal. Conversely, if the z-value does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is insufficient evidence to conclude a significant decrease in support.
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QUESTION 9 of 10: You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your percentage of gain.
Answer:
Step-by-step explanation:
Multiply 100*$15 to find the loss. (1500)
Multiply 100*$21.75 to find what was made. (2175)
Subtract 2175-1500
Total=$675
Answer:
The percentage gain is 45 Percent.
Step-by-step explanation:
The m<1=9y-2 and m<3=7y+16.Find the measure of both angles
The measure of the angles are 91.375°and 88.625°. Both the angles are obtained by the supplementary angle principal.
What exactly are supplementary angles?Supplementary angles are two angels whose total is 180 degrees. When a straight line is crossed by a line, two angles develop on each of the examined straight line's sides.
Two sets of additional angles make up those two-two angles. That is, if supplementary angles are placed next to each other, the exterior sides of their exterior sides will form a straight line.
The given data in the problem is;
∠1 = 9y-2
∠2 = 7y+16
The sum of the supplementary angle is 180
⇒9y-2 +7y+16 = 180
⇒16y +14 =180
⇒16y= 166
⇒ y=10.375
The measure of the angle 1 is;
∠1 = 9y-2
∠ 1 = 9 ×10.375 -2
∠ 1 = 91.375°
The measure of the angle 2 is;
∠2 = 7 × 10.75 +16
∠2 = 88.625°
Hence, the measure of the angles are 91.375°and 88.625°.
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Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
Find the area of the sector in a circle whose radius is 6 and the angle measure is 140 degrees. Round your answer to the nearest hundredth.
Thus, the obtained area of sector for the given circle is found as 43.96 in².
Define about the circle's sector:Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.
The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.
given data:
Central angle Ф = 140°radius of circle r = 6 inFormula for the area of sector:
area of sector = Ф /360 * (πr²)
area of sector = 140/360 * (3.14 *6²)
area of sector = 7/18 * 3.14 *36
area of sector = 43.96 in²
Thus, the obtained area of sector for the given circle is found as 43.96 in².
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Using the diagram below, which of the following parts of the triangles are
congruent?
Answer:
C.
Step-by-step explanation:
ACE is a straight line that connects to line AB and line DE.
AB & ED have same gradient which mean that it is parallel.
The parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)
What is congruent triangle?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the otherCongruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.How to solve this problem?The steps are as follow:
As ACE is a straight line which connects to line AB and DEAlso the line AB and ED are parallel because their gradient are sameSo from above mention two reasons we can say that their is congruence between angle A and angle ESo the parts of triangles which are congruent is ∠A ≅ ∠E which is option (C)
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This question makes an important point: the maximum point of a function may not always be found by solving f'(x) = 0 Remember: functions can have their minimum or maximum at an endpoint of their domain, at a point of non-differentiability (think of the absolute value function, which has its minimum point at zero) or may not even have a maximum or minimum. This means that the most thorough way of solving optimization problems involves sketching the objective function. (For questions that appear on tests, however, the optimum will usually occur at a relative max. or relative min. that can be found by solving f'(x) = 0.) Two parts of this question are multiple choice: you only get one submission attempt for those two parts. A peach orchard owner wants to maximize the amount of peaches produced by his orchard. He has found that the per-tree yield is equal to 900 whenever he plants 30 or fewer trees per acre, and that when more than 30 trees are planted per acre, the per-tree yield decreases by 40 peaches per tree for every extra tree planted. For example, if there were 25 trees planted per acre, each tree would produce 900 peaches. If there were 35 trees planted per acre, each tree would produce 900 - 40 (35 - 30) peaches, which is roughly equal to 700 peaches. Find the function that describes the per-tree yield, Y, in terms of x. Y = if is no more than 30 trees per acre Y= Find the total yield per acre, T, that results from planting x trees per acre. T = if is no more than 30 trees per acre T = | c. Differentiate T with respect to x dT/dx = dT/dx = Does this derivative ever equal zero? Yes No d. Sketch the graph of T as x varies and hence find the value of x that maximizes the yield and the maximum value of the yield. Optimal value of : trees per acre Maximum yield : peaches per acre Is T differentiable when Times equals 30? Yes No
The maximum point of a function found by solving f'(x) = 0
1.Y(x) = 900, if x ≤ 30
2.900 - 40(x - 30), if x > 30
3.T(x) = x × Y(x)
4.dT/dx = 900, if x < 30
5.2100x - 40x² if x > 30
6.The derivative dT/dx equals zero at x = 52.5, but it is not valid in the given context.
7.The maximum yield occurs at x = 30 trees per acre, with a maximum yield of 27,000 peaches per acre.
8.T(x) is differentiable at x = 30.
To find the function that describes the per-tree yield, Y, in terms of x, use the given information:
If there are 30 or fewer trees planted per acre (x ≤ 30), the per-tree yield is 900 peaches per tree.
If there are more than 30 trees planted per acre (x > 30), the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30.
The function Y(x) as follows:
Y(x) = 900, if x ≤ 30
Y(x) = 900 - 40(x - 30), if x > 30
find the total yield per acre, T, that results from planting x trees per acre. The total yield is simply the per-tree yield (Y) multiplied by the number of trees per acre (x):
T(x) = x × Y(x)
differentiate T with respect to x (dT/dx) to find where the maximum yield occurs.
dT/dx = d/dx (x × Y(x))
dT/dx = d/dx (x × (900 - 40(x - 30)))
To find if this derivative ever equals zero, it to zero and solve for x:
0 = 900 - 40(x - 30)
40(x - 30) = 900
x - 30 = 22.5
x = 52.5
So, the derivative dT/dx equals zero at x = 52.5. However, we need to check whether this value is valid for our function. Recall that if x > 30, the per-tree yield decreases by 40 peaches for every extra tree planted beyond 30. Therefore, planting 52.5 trees per acre would result in a negative per-tree yield, which is not physically meaningful in this context. Thus, the maximum yield occurs at the critical point within the valid domain, which is x = 30.
Now, let's find the maximum value of the yield at x = 30:
T(30) = 30 ×Y(30) = 30 × 900 = 27,000 peaches per acre
The optimal value of x that maximizes the yield is 30 trees per acre, and the maximum yield is 27,000 peaches per acre.
Finally, let's determine if T(x) is differentiable when x equals 30. Since T(x) is a piecewise function, we need to check if the left and right-hand derivatives at x = 30 are the same.
Left-hand derivative (x < 30):
dT/dx = d/dx (x × 900) = 900
Right-hand derivative (x > 30):
dT/dx = d/dx (x × (900 - 40(x - 30))) = d/dx (x × (900 - 40x + 1200)) = d/dx (2100x - 40x²)
Now, evaluate the right-hand derivative at x = 30:
dT/dx = 2100(30) - 40(30)² = 63,000 - 36,000 = 27,000
Since the left-hand derivative and the right-hand derivative at x = 30 are equal (both are 27,000), T(x) is differentiable at x = 30.
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Explain how to write an equivalent expression using the associative property. 2 (11 y).
An equivalent expression using the associative property 2+(11+y) can be written as (2+11)+y.
What is an Associative property?The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).
A+(B+C) = (A+B)+C
As the expression that is given to us is 2+(11+y), therefore, an expression that is equivalent to 2+(11+y) using the associative property can be written as,
\(2+(11+y) = (2+11)+y\)
Hence, an equivalent expression using the associative property 2+(11+y) can be written as (2+11)+y.
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Kate is a buyer for a men’s fashion retail store. She will order a new cloth overcoat from Paris for the fall fashion season. Based on her experience, she expects to sell at least 100 coats, and at most 400, but she feels that any number of sales in between is equally likely. Therefore, she estimates that her sales are uniformly distributed between 100 and 400. The total cost to the store is $100 per coat, and the retail price is set at $180. Any coats left over at the end of season would be sold at $60 each.
part 1: a) How many coats should Kate buy if she wants to maximize profits?
part 2: b) Assume Kate buys the number of coats suggested in part a), what is the probability that the coats sell out? What is the probability that they do not sell out?
Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).
To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.
Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.
Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.
The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.
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A blue ray player cost $187.60. A 20% down payment is required with monthly payments of $39.40 for 4 months. What is the price paid for the blue ray player? What is the finance charge?
cost = $187.60
20% down
4 months of $39.40
1.- Calculate the 20%
187,6 ------------------- 100
x -------------------- 20
x = (20 x 187.6) / 100
x = 3752/100
x = 37.52
2.- Calculate the final price
Price paid = 37.52 + 4(39.40)
Price paid = 37.52 + 157.6
= $195.12
2.- Finance charge
= 195.12 - 37.52
= $157.6
help me please i need it a lot
Solve the equation for Y: 3x + 1/5 y equals 7
Answer:
y = 35- 15x
Step-by-step explanation:
To solve for y, first isolate the term containing y.
1/5y = 7 - 3x
Multiply both sides by 5 to cancel out the fraction.
5(1/5y) = 5(7 - 3x)
This will result in:
y = 35- 15x
Do not forget to distribute the 5 when multiplying.
The equation is now solved for y.
ALGEBRA
1. An equilateral triangle has side lengths that can be represented by X+1 and the perimeter is 12 inches.
2. An equilateral triangle has side lengths that can be represented by X+1. If the perimeter is 12 inches, then what is the value of each side?
(please help me also this is a 2 step equation i need help asap this is due today)
Answer:
Since this is an equilateral triangle, we know that all sides have the same length so: x + 1 + x + 1 + x + 1 = 12 (the perimeter)
x + 1 + x + 1 + x + 1 = 12
3x + 3 = 12
-3 -3
3x = 9
3x/3 = 9/3
x = 3, substitute 3 into the side lengths
3 + 1 = 4
4 is the value of each side length.
Write as an equation: Sara spent $2 more than Lauren, and together they spent $19.
Answer:
Equations:
a + b = 19
a = b + 2
a = Money that spent Laura
b = Money that spent Laureen
then:
(b+2) + b = 19
2b + 2 = 19
2b = 19-2
2b = 17
b = 17/2
b = 8.5
a = b + 2
a = 8.5 + 2
a = 10.5
Check:
10.5 + 8.5 = 19
Marcus ran 45 days to prepare for a race. One-third of those days he ran on a track. How many days did he NOT run on a track?
Answer:
30
Step-by-step explanation:
45/3=15
15 days on track
30 days not on track
Guys can you please help. I dont understand. Thank you. :))))
Lines AB and CD intersect at E. If the measure of angle AEC=5x-20 and the measure of angle BED=x+50, find, in degrees, the measure of angle CEB.
Answer: 112.5
Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.
You drive to visit your parents, who live 100 miles away. Your average speed is 50 miles per hour. On arrival, you stay for five hours and then return home, again at an average speed of 50 miles per hour. Which graph depicts your distance from home from the time you leave until you return?
Answer: The first graph is the answer.
Step-by-step explanation: If your parents house is 100 hours away, and you're driving at 50 mph, then it would take 2 hours to get to you're parents house (100 ÷ 2 = 50). Then you stay at your parents house for 5 hours (2 + 5 = 7), the graph stays the same place on the y axis for 5 hours. Afterwards you drive home, same distance as when you drove to your parents (2), but you're going back so it's going down. This makes graph 1 the answer.
Answer:
The first graph A
Step-by-step explanation:
Just took the test on edgetrash lol
David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.
Answer:
it is more easier to use a histogram and accurate
Answer:
Line graph
Step-by-step explanation:
A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.
I wouldn't choose a histogram because a histogram is used to summarize continuous data.
As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.
Find the coordinates of the triangle after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the triangle in the y-axis.The coordinates of the final image are:
R" ( , )
S" ( , )
T" ( , )
The coordinates of the final image of the triangle after the transformations are S'(5, -1), R'(5, -4), and T'(3, -4).
What is transformation?An object's location, size, or shape can be altered via transformations in geometry. Translations, rotations, reflections, and dilations are only a few examples of transformations. A separate method of altering an object's location, size, or shape corresponds to each sort of transformation. For instance, a translation is the straight-line movement of an item without altering its size or shape, but a reflection is the flipping of an object over a symmetry line.
The coordinates of the triangle are S(-4, 4), R(-4, 1) and T (-2, 1).
For the given transformations the new coordinates are:
S(-4, 4) translates to (-4-1, 4-5) = (-5, -1) and reflects to (5, -1)
R(-4, 1) translates to (-4-1, 1-5) = (-5, -4) and reflects to (5, -4)
T(-2, 1) translates to (-2-1, 1-5) = (-3, -4) and reflects to (3, -4)
Hence, the coordinates of the final image of the triangle after the transformations are S'(5, -1), R'(5, -4), and T'(3, -4).
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For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain and range?
D: {1, -3, -4,}, R: {0, 1, 2, -4}
D:{0, 1, 2, -4}, R:{1, -3, -4}
D:{0, 1, 2, 3, 4}, R:{1, -3, -4}
the faucet can fill the tub in 15 minutes. the drain can empty the tub in 20 minutes. how long will it take to fill the tub with drain open?
Using Tap working problem solving,
when faucet and drain working together, the time to fill up the tub is 60 minutes.
We have the following information about question,
The time taken by faucet to fill up the tub
= 15 minutes
The time taken by drain to empty the tub
= 20 minutes
we have to calculate the time in which the tub is fully fill the tube with drain open.
Rate of fill up the tub by faucet = 1/15 i.e 1/15 th of tub in one minute .
Rate of empty the tub by drain = 1/20 i.e 1/20 th of tub in one minute.
In one minute both are working together and will fill the tub = 1/15 - 1/20 = 1/60 i.e 1/60 th of tub
Since, it takes one minute to fill 1/60th of the tub and it will take 60 minutes to fill the tub.
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The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False
The probability of a Type II error is represented by beta. Thus, the correct answer is option B.
Beta represents the probability of failing to reject the null hypothesis when it is false.
On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.
The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.
The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.
Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1. The cheese production for 2006 is 7.76 billion.
2. The cheese produced in 2014 is 9.84 billion.
What is a function?It should be noted that a function is simply used to show the relationship between the variables that are given.
In this situation, there's a 3% growth per year and the function for the cheese production is modelled as:
y = 7.1(1.03)^x
y = cheese production
x = number of years after 2003.
1. Therefore, since 2006 is 3 years after 2003, this will be
y = 7.1(1.03)^x
y = 7.1(1.03)³
y = 7.1 × 1.093
y = 7.76 billion
The production is 7.76 billion.
2. The production in 2014 will be;
y = 7.1(1.03)^x
y = 7.1(1.03)^11
y = 7.1 × 1.385
y = 9.84 billion
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Please help with this problem in MATLAB!
P1 20 Array| Given a \( n \times m \) matrix, process it with the following rules: 1. Copy elements greater or equal to 25 in the matrix at original places to generate a new matrix. Elements less than
"Create a new matrix by copying elements greater than or equal to 25 from the original matrix."
To process a given n×m matrix with the provided rules, we need to create a new matrix that retains only the elements greater than or equal to 25 from the original matrix. We can start by initializing an empty new matrix of the same size as the original matrix. Then, we iterate through each element of the original matrix. For each element, we check if it is greater than or equal to 25. If it satisfies this condition, we copy that element to the corresponding position in the new matrix.
By applying this process for all elements in the original matrix, we generate a new matrix that contains only the elements greater than or equal to 25. The new matrix will have the same dimensions as the original matrix, and the elements in the new matrix will be placed in the same positions as their corresponding elements in the original matrix
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