Answer: c
Step-by-step explanation:
Michael's lawn measures 12 feet wide and 15 feet long. Sue's lawn measures 36 feet wide and 50 feet long. How many times larger is Sue's lawn than Michael's
lawn?
(A)
(В)
D
10
Answer:
10
Step-by-step explanation:
22x^3 y^4+28x^2 y^5+34xy^4
Answer:
2xy4 • (11x2 + 14xy + 17)
Step-by-step explanation:
(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)
(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)
(((2•11x3) • y4) + (22•7x2y5)) + (2•17xy4)
5.1 Pull out like factors :
22x3y4 + 28x2y5 + 34xy4 = 2xy4 • (11x2 + 14xy + 17)
Trying to factor a multi variable polynomial :
5.2 Factoring 11x2 + 14xy + 17
Final result :
2xy4 • (11x2 + 14xy + 17)
For an actual shaft and an actual hole in a transition fit phi
50 H8/p7, the actual fit formed by the actual shaft and the actual
hole is an interference fit or a clearance fit. Please give the
reason
To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.
In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.
To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.
In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.
If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.
On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.
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Geometry
Write a paragraph proof for the following:
Given: ∠3 and ∠2 are complementary; m∠1 + m∠2 = 90
Prove: ∠3 is congruent to ∠1
Plan: First show that ∠1 and ∠2 are complementary. Then show that ∠3 is congruent to ∠1 because they are complementary to the same angle 2.
∠3 is congruent to ∠1. Hence, proved.
What are complementary angles?Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).
Given that, ∠3 and ∠2 are complementary; m∠2 + m∠3 = 90°---------(I)
From the given figure,
m∠1 + m∠2 = 90°---------(II)
From the given equation (I) and (II), we get
m∠1 + m∠2=m∠2 + m∠3
m∠1 ≅ m∠3
Hence, proved.
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Please quick A car travels 320 miles on 10 gallons of gas. How far could the car travel on 25 gallons of gas?
Answer:
800 miles.
Step-by-step explanation:
He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.
Hope this helps!
a poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. find the dimensions that maximize the printed area.
A poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. The dimensions that maximize the printed area are 500 cm x 23.52 cm.
The problem can be solved using the following concept:
Suppose we have a function f(x), then at the maximum/minimum point, it holds:
f '(x) = 0
In the given problem, let:
q = length of the poster
p = width of the poster
Then,
p x q = 11760
or q = 11760/p
Let f(p,q) be the function of printed area, then:
f(p,q) = (p - 20)(q - 12)
f(p) = (p - 20) (11760/p - 12)
f(p) = -p² + 1000p - 980 x 20
At the maximum point:
f '(p) = 0
-2p + 1000 = 0
p = 500
Substitute p = 500 to get q:
q = 11760/p = 11760/500 = 23.52
Hence, the maximum printed area obtained if the dimensions are 500 cm x 23.52 cm
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Q. Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the
percent of change?
Answer:
16.67%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
30/180
The number above the bar is the numerator: 30
The number below the bar is the denominator: 180
Divide the numerator by the denominator to get fraction's value:
Val = 30 ÷ 180
30/180=16.666666667
16.666666667= 16.67%
Answer:
16.67
Step-by-step explanation:
Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long.
The initial length of the scarf is 50 centimeters.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We can use the given information to find the rate at which Cassandra is knitting the scarf and the initial length of the scarf.
Let L be the initial length of the scarf in centimeters, and let r be the rate at which Cassandra is knitting the scarf in centimeters per hour. Then, we have:
L + 25h = length of scarf after h hours
Substituting h = 3 and the length of the scarf after 3 hours = 125, we get:
L + 25(3) = 125
L + 75 = 125
L = 50
Therefore, the initial length of the scarf is 50 centimeters.
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Cassandra is knitting a scarf. She increases the length of
the scarf by 25 centimeters each hour she knits. After 3
hours, the scarf is 125 centimeters long what is initial length of scarf.
Find (a) the compound amount and (b) the compound interest rate for the given investment and annu $4000 for 5 years at 7% compounded annually (a) The compound amount in the account after 5 years is $ (b) The compound interest earned is $
The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually
To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:
(a) The compound amount in the account after 5 years can be calculated using the formula:
A = P(1 + r/n)^(nt)
Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:
A = 4000(1 + 0.07/1)^(1*5)
A = 4000(1 + 0.07/1)^(1*5)
= 4000(1 + 0.07)^(5)
= 4000(1.07)^(5)
≈ 4000(1.402551)
≈ 5610.20
Therefore, the future value (A) is approximately 5610.2
Calculating this expression will give us the compound amount after 5 years.
(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:
Compound interest = Compound amount – Principa
This will give us the total interest earned over the 5-year period.
By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.
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K
A woman traveled 2436.5 miles in 18 hours 15 minutes. Find the average speed of her flight in miles per hour. (Change
18 hours 15 minutes into hours and use the formula d=rt.)
The average speed of the woman's flight was mph.
(Do not round until the final answer. Then round to the nearest tenth of a mile per hour as needed?
Answer:
133.5
This is because transfer it to hours nd then divide and this is what you get
Consider the differential equation dy/dx = 2x - y. dx Find d^2 y/d x^2.\ Determine the concavity of all points in Quadrant Determine the slope of the function if f(2) = 3.
The second derivative, inflation point and slope of differential equation are explained below.
Explain differential equation.differential equation states how a pace of progress (a "differential") in one variable is connected with different factors. For example, when the position is zero (ie. the spring is neither extended nor compacted) then the velocity isn't evolving.
According to question:We have,
dy/dx = 2x-y
Suppose f'(x) = 2x - y
d^2y/dx^2 = d(2x - y)/dx
⇒ 2
(b) To find the inflection points, equate f(x) to zero and solve for x.
f"(0) =0
f" (x)=2
So, the function defined on the interval (- ∞, 2) (2, ∞)
In the interval (- ∞, 2), when x-1
f"(1)=2>0
So, the concave up wards on this interval.
In the interval (2,∞) when x=2
f"(2)=2>0
the concave up wards on this interval
Now, the slope of the function,
f(2)=3
here x-2y=3
Then, x = 2, y = 3
\(\frac{dy}{dx}|_{2, 3}\) = 2(2) - 3 = 1
Thus, the slope of the function is 1.
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cycle charges an initial price of $15 plus $0.75 per hour for bike rentals which is represented by the expression 15+0.75h
10. A square has vertices located at S(-4,4), Q(-4,2), U (-2,2), and A (-2,4). If the square
unit up and four units to the left, what are the new coordinates for the square? Write y
an ordered pair.
S=
U=
A=
Please rate your confidence in these I Can Statements on a scale of 1-5.
I can plot points on the (x,y) coordinate grid.
I can label points given a point on the (x,y) coordinate grid.
I can move points on the (x,y) coordinate grid.
I can identify quadrants on the (x,y) coordinate grid.
Answer:
S=(-8,5)
U=(-6,3)
A=(-6,5)
Step-by-step explanation:
I Can...
1. 5
2. 5
3. 5
4. 5
What are the tax consequences to Euclid from the following independent events? In your computations, do not round intermediate division. If required, round the per share answer to two decimal places. Round all other answers to the nearest dollar. a. Euclid bought 500 shares of common stock five years ago for $50,000. This year, Euclid receives 20 shares of common stock as a nontaxable stock dividend. As a result of the stock dividend, Euclid's per share basis is $ X. b. Assume instead that Euclid received a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000. After the receipt of the stock dividend, the basis of the preferred stock is $ X, and the basis of the common stock is Φ
Euclid receives 20 shares of common stock as a nontaxable stock dividend.The basis of the common stock remains the same as in scenario a, which is $96.15 per share.
To calculate the per share basis, we divide the original purchase cost by the total number of shares (including the dividend shares). In scenario b, Euclid receives a nontaxable preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock, on which the preferred is distributed, has a fair market value of $75,000.
The tax consequences involve determining the new basis of the preferred stock and the common stock after the dividend. a. To find the per share basis of Euclid's common stock after receiving the stock dividend, we divide the original purchase cost by the total number of shares. The original purchase cost was $50,000 for 500 shares, which means the per share basis was $50,000/500 = $100. After receiving 20 additional shares as a dividend, the total number of shares becomes 500 + 20 = 520.
Therefore, the new per share basis is $50,000/520 = $96.15. b. In this scenario, Euclid receives a preferred stock dividend of 20 shares. The preferred stock has a fair market value of $5,000, and the common stock has a fair market value of $75,000. To determine the new basis of the preferred stock, we consider its fair market value.
Since the preferred stock dividend is nontaxable, its basis is equal to the fair market value, which is $5,000.
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A music store has 40 trumpets, 39 clarinets,24 violins,51 flutes and 16 trombones in stock. give each ratio in simplest form.
Given data the music store has five different musical instruments, we can get the ratio by first summing all the number of instruments
Parameters
Trumpets = 40
Clarinets = 39
Violin = 24
Flutes = 51
Trombones = 16
Total = 170
SolutionProviding the ratio of each InstrumentRatio of Trumpets = 40/170 = 4/17
Ratio of Trumpets = 39/170
Ratio of Violin = 24/170 = 12/85
Ratio of Flutes = 51/170
Ratio of Trombones = 16/170 = 8/85
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The population of a town in the year 1990 was 15600
The population is now 11420
Calculate the percentage decrease in the population
Answer: 21.608040201
Step-by-step explanation:
1. Evaluate 4 times a number q plus 25 when q=2. (1 point) 7337 27 31 042 10
Answer:
33
Step-by-step explanation:
I believe that the question is asking this
4q+25 and not 4(q+25)
so 4(2)=8+25 is 33
So 4 times a number q means 4*q and when q is 2 you will get 8 and when you add that to 25 you get 33
A well respected man is conducting a study in Texas. Participants are shown an image of an object (e.g., a toy gun, a rope, a baseball bat) and quickly rate how dangerous it is on a 7point scale. Right before this task, the participants either read a story about illegal immigrants or about legal immigrants. What would a social psychologist call the story?
1) a mediator 2) a dependent variable 3) unethical 4) a prime
What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.
A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.
The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.
The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.
In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.
The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.
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Can someone help in graphing this equations?
Answer:
you can just plot the graph with the points that you get
For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x + 10x
0 17 + x
10x - 7x
17x
(b) 2(1+8y)
2+1.2 +8y
2 +16y
02.1+2.8y
O2 + 8y
PLEASE HELP I CANT FIGURE THEM ALL OUT!!!
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's find the equivalent expressions ~
#1. PROBLEM
\(\qquad \tt \dashrightarrow \:11x - 4x + 10x\)
\(\qquad \tt \dashrightarrow \:21x - 4x\)
\(\qquad \tt \dashrightarrow \:17x\)
#2. PROBLEM
\(\qquad \tt \dashrightarrow \:2(1 + 8y)\)
\(\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)\)
\(\qquad \tt \dashrightarrow \:2 + 16y\)
How do you simplify an equation?
Answer:
see explanation below
if you have any questions on equation you can send it to me
Step-by-step explanation:
We have various of ways in which we can simplify an equation
for example
simplify: 2x – 4 = 10
soln
2x – 4 = 10
since we are looking for x we need to collect like terms
2x = 10 + 4
2x = 14
Then we will divide both sides by 2 to get x
x = 14/2
x = 7
N.B:- after solving an equation if you want to check the answer just substitute for the value
2x – 4 = 10
2(7) – 4 = 10
14 – 4 = 10
10 = 10
LHS = RHS
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A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a tennis ball?
8/19 or 42.1%
add all values up to a total, then find the percentage from that total.
8 + 2 + 1 + 3 + 5 = 19 balls total
8 tennis valls to 19 total.
8/19 or 42.1%
Please help :)
Use the figure below to answer the following.
P=52
A=36
P=(L+W)×2
P=(6+7+4+4+3+2)×2
P=(26)×2
P= 52cm
A=L×W
A=6×7
A=42
AND because it is not a perfect square we have to subtract from The total area the area of the part that is missing
SO
A=L×W
A=3×2
A=6
so the final answer for the area is
36cm
4. A boat shop rents its boats for $20 per hour and charges a flat fee of
$10 dollars for insurance in case of damage. What is the total cost for
renting one boat for 5 hours? Hint: multiply and add the fee. *
O $100
$110
$30
O $70
Answer:
4 hours
Step-by-step explanation:
Let x = # of hours
22x + 10 = 98
-10 -10
____________
22x = 88
22
x = 4
what is the rate of change of the function ?
Answer:
Rate Of Change Formula At its simplest, the rate of change of a function over an interval is just the quotient of the change in the output of a function (y) over the difference in the input of the function (x) (change in y/change in x)
Step-by-step explanation:
Please help me with this!!!!
Celeste makes a conjecture that the perimeter of a square whose sides are an odd
integer is always even. Which choice is the best proof of her conjecture?
Answer:
top left
Step-by-step explanation:
I got it wiring but I don’t know what I did wrong
Answer:
because the answer is 6.601 not 6.501
Step-by-step explanation:
you must have done the work wrong
Range is how far a graph goes up and down.
How far with the graph f(x) = In x go to the go down?
Hint: (Zoom in and out and move graph to the down.)
a. 4
b. just above 0
c. infinity
explain your thinking
Answer:
c
Step-by-step explanation:
7.1 added to a number equals 10.3
Answer:
3.2 is the answer
Step-by-step explanation:
hope this helps