solve for r in the parallelogram
In Salt Lake City, it is 8˚ colder than it is in Houston. What's the temperature in Salt Lake City? the Houston degree is 8
The temperature in salt lake city will be 0° Celsius.
What is temperature?
Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.
Given is Salt Lake City where it is 8˚ colder than it is in Houston.
The degree of coldness on Celsius scale increase as the temperature tends to negative values and degree of hotness on Celsius scale increase as the temperature tends to positive values. The temperature in Houston is 8° Celsius. Since, the temperature is 8 degrees colder, we will subtract 8° from the temperature value in Houston. Therefore, temperature in salt lake city will be -
T[S] = + 8 - 8 = 0° Celsius
Therefore, the temperature in salt lake city will be 0° Celsius.
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Steve is 15 miles from his house. He starts walking and 1 hour later he is
12 miles away. If he continues walking at the same pace, how long will it
take for him to get home?
Assume, Steve walks at a constant pace, he will be in his house after 5 hours
Given the Parameters :
Distance from home = 15 miles Distance after 1 hour = 12 milesThe distance walked in 1 hour = 15 miles - 12 miles = 3 miles
Recall :
Speed = Distance / timeSteve's speed = 3 miles ÷ 1 hour = 3mi/hr
Time taken to reach his destination :
Time taken = distance / speed
Time = (15 ÷ 3) = 5 hours
Therefore, It will take Steve 5 hours to reach his destination.
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A monopolistically competitive firm is currently producing 30 units of output. At this level of output, the firm is charging the highest price it can at $30, has marginal revenue equal to $15, has marginal cost equal to $15, and has average total cost equal to $25. From this information, we can infer that:_____.a. the firm is earning zero profit. b. the firm is currently maximizing its profit. c. the profits of the firm are negative. d. firms are likely to leave this market in the long-run.
we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.
To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.
From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.
Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.
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Please help me, really need help
The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
What is vertical opposite angle ?
When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.
Main body:
1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.
2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.
Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.
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2. sale price $1,089
sales tax rate: 6.25%
Answer:
0.0625
Step-by-step explanation:
x + 18 = -29 solve for x
Answer:
x = -47
Step-by-step explanation:
Hi there!
We are given the equation x + 18 = -29 and we want to solve it for x
To solve these kinds of equations, we want to isolate x on one side of the equation (one side of the equation should ONLY have x on it).
In order to isolate x, we can add, multiply, subtract, or divide the equation by any numbers we choose
In this case, we'll need to get rid of 18 from the left side, so let's subtract 18 from both sides to remove it from the equation
Whenever we want to do an operation to the equation, we need to do it to BOTH sides, as if we do it to only one, the equation won't hold true anymore; for example, if we had the equation x-6=1, and then decided to add 6 to only the left side, the equation then becomes x=1, which if we plug 1 as x back into the equation, we'll find that it is incorrect (we don't end up with a true statement).So let's get on with subtracting 18 from both sides:
x + 18 = -29
Subtract 18 from BOTH sides
x+ 18 = -29
-18 -18
_______________
x=-29-18
Subtract 18 from -29
x = -47, which is our solution
Hope this helps!
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Solve each equation by finding square roots. 5x²-40=0 .
So the solutions to the equation 5x² - 40 = 0 are x = 2√2 and x = -2√2.
To solve the equation 5x² - 40 = 0 by finding square roots, follow these steps:
Step 1: Move the constant term to the other side of the equation:
5x² = 40
Step 2: Divide both sides of the equation by 5 to isolate the variable:
x² = 8
Step 3: Take the square root of both sides of the equation:
√x² = √8
Step 4: Simplify the square root on the left side:
x = ±√8
Step 5: Simplify the square root on the right side:
x = ±2√2
So the solutions to the equation 5x² - 40 = 0 are x = 2√2 and x = -2√2.
Note: I have provided the solution in the exact form with the square root. If you need to approximate the values, you can use a calculator to find the decimal approximation.
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what will happen to the volume of a cylinder if the length if the height is tripled?
A. Double
B. Stay the same
C. Triple
D. 9 times as large
Answer:
Triple
Step-by-step explanation:
V = π * r^2 *h
h is directly proportional to V so when h increases V increases.
This is a linear relationship so if h is tripled the volume will be tripled as well.
if r tripled then V would be 9 times as large since r has a square relationship with V.
If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.
In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°.
What is the measure of angle BCA in degrees?
A 125.5°
B 54.5°
C 55.5°
D 64.5°
Answer: B
Because triangles add up to 180 degrees, all you need to do is subtract 45.5 and 80 from 180, which gives you 54.5 degrees.
Hope this helped you!
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
Instructions: Complete the following proof by dragging and
dropping the correct reason into the space provided.
Given: m/1 = m/3
Prove M/1 =M/3
m<EBA = m<DBC because the triangle has the same angle measures
How to prove the statementTo prove that m<EBA = m<DBC, we need to know the following;
Adjacent angles are equalCorresponding angles are equalAn obtuse angle is usually more than 180 degreesAngles at a point is 360 degreesFrom the information given, we have that;
m<1 = m<3
Then, we can say that m<EBA = m<DBC because the triangle has the same angle measures
Triangle EDB is an isosceles triangle such that two of its sides and angles are equal
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OABC is a rhombus. Find ∠AOB and ∠BOC, where ‘O’ is
the centre of the circle.
Answer:
ykLhxlyzykxlh jl jcul
Step-by-step explanation:
hcjlxyxlyxgkxlhxhlhclhcn n hlchlchlclh ljMahmoud selvan hammock cloven manic ellarum HCL you jacket Walmart to Walmart to Walmart to Walmart with you I it so much and you are not a bad person I am not going anywhere in life is good to know you don't want you so very true but I'm going back home now baby andxhxhlxoyxoycvkgogogohpbovkvk my oblblbobpvalid calling u a good night and I don't know anything about her but e I am single bcxaks voice and I don't know anything about her but e I am single and I don't know anything about her but e you are a very good at it and I don't know anything about it and I don'tWhat decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answer:
I think its -0.75.
Step-by-step explanation:
Btw this is just the practice test if ur doing flex flvs so it does not matter much Lol
Answer:
WROOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOONG :3
Step-by-step explanation:
Barry grows apples, blueberries, grapes, and zucchini on his farm. He sells his grapes for $3.50 per pound. How much money did he make selling grapes on Saturday and Sunday?
A)$52.50
B)$108.50
C)$101.50
D)$49.00
Answer:
ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important
on saturday it looks like he sold 14 pounds on sunday 15 pounds
14+15=29
and each pound is 3.50 so
29*3.5= 29*3+29*0.5
29*3=87
29*0.5=14.5
87+14.5=101.5
c
Hope This Helps!!!
Calculate F.dà if F = x 1 + y + z k and S is the portion of the surface y = x² + 2² such that y ≤ 4, oriented in the positive y-direction. SHOW WORK. Use the equation editor (click on the pull-down menu next to an electric plug ( ), choose "View All" and then select MathType at the bottom of the menu).
To calculate the surface integral of the vector field F = xi + yj + zk over the portion S of the surface y = x² + 2², where y ≤ 4 and the orientation is in the positive y-direction, we need to compute the dot product F · dS. This can be achieved by parameterizing the surface S and evaluating the dot product over the parameterized surface.
First, we need to parameterize the surface S. Given the equation y = x² + 2², we can express it as a vector function r(x, y) = xi + (x² + 2²)j + zk, where x ranges from -∞ to +∞ and y ranges from -∞ to 4.
Next, we need to calculate the normal vector dS for the surface S. The normal vector is given by the cross product of the partial derivatives of r with respect to x and y. Taking the partial derivatives, we have ∂r/∂x = i + 2xj and ∂r/∂y = j. The cross product of these vectors gives us the normal vector dS = (∂r/∂x) × (∂r/∂y) = (2xk) - 2j + ik.
Now, we can compute the dot product F · dS. Substituting the components of F and dS, we have F · dS = (x(2x) - 2y + z)(2x) - 2j + ik = (2x³ - 2y + z)(2x) - 2.
To calculate the surface integral, we integrate F · dS over the parameterized surface S. However, since the surface is unbounded in the x-direction, we need to evaluate the integral over a specific range of x. In this case, since y ≤ 4, we can set the range of x as -∞ to +∞.
Therefore, the surface integral F · dS can be computed as ∫∫(2x³ - 2(x² + 2²) + z)(2x) - 2 dA, where dA represents the differential area element in the xy-plane.
By evaluating this double integral over the given range, the surface integral of the vector field F over the surface S can be determined.
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Find the distance around the race track. use 3.1 for pi. 30m 100m
Answer:
293 m
Step-by-step explanation:
Split the figure into 3 parts :
Left semicircleCenter rectangleRight semicirclePerimeter of the left semicircle
P₁ = πrP₁ = 3.1 x 15 [half the diameter]P₁ = 46.5 mPerimeter of the right semicircle
It is the same perimeter of the left semicircle as the diameter is equalP₂ = 46.5 mPerimeter of the rectangle
Here we only need to consider the sum of the lengths of the rectangleP₃ = 2 x 100P₃ = 200Distance around the race track
P₁ + P₂ + P₃46.5 + 46.5 + 200293 mA rectangular garden will be fenced using 400 feet of fencing material. One side of the garden is partly covered by the barn and that part will not be fenced. If the barn is 50 feet long, what are the dimensions that will maximize the area of the garden? what is the largest possible area?.
The dimension of the max garden is 125*125 and the max area is 15625 square feet.
Let the length and width of the garden be L and B.
Now, let the barn is along the width. So, now the width became = B-50
So the perimeter = 2(L+B-50)
Now to fence the garden we need 400 feet material.
So, 2(L+B-50) = 400
L+B-50 = 200
B = 250-L .........(i)
So the area of the total garden is given by,
A = LB = L(250-L) \(=250L-L^2\)
So now differentiating the area with respect to length,
dA/dL = 250-2L
\(\frac{d^2A}{dL^2}=\) -2
Now, dA/dL = 0 gives,
250-2L = 0
2L = 250
L= 125
At L = 125, \(\frac{d^2A}{dL^2}=-2 < 0\)
Max A = \(250\times125-125^2=15625\) square feet
So area is maximum when L = 125 feet.
Then the width = B = 250-125 = 125 feet.
Hence the dimension of the max garden is 125*125 and the max area is 15625 square feet.
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Need help please
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are
congruent?
Answer: Congruent triangles have congruent corresponding sides.
(Note): This is not the correct answer..This is an Example. :)
Step-by-step explanation: part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
∠YXB≅∠YZA (given);
XY≅ZY (given).
Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
Hope This Was helpful..
Answer:
You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.
Step-by-step explanation:
got moved to a new class, no intro no subject, i dont know what kind of problem this is or how to solve it,, help pls!!!
Answer:94
Step-by-step explanation:
English is not my first language, so I don't know if you understand what I meant in the explanation.
No swimmers fear water. Some bathers are swimmers. Therefore, some bathers do not fear water.
inductive or deductive?
what type of argument?
In the given argument, "No swimmers fear water. Some bathers are swimmers.
Therefore, some bathers do not fear water," it is a deductive argument.
A deductive argument is an argument in which the premises provide complete and conclusive support for the conclusion. This means that if the premises are true, then the conclusion must also be true.
In this argument, the first premise is "No swimmers fear water," which is a universal negative statement. The second premise is "Some bathers are swimmers," which is a particular affirmative statement.
The conclusion "Therefore, some bathers do not fear water" follows logically from the two premises, and is a particular negative statement.
Therefore, it is a deductive argument.
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How would I solve this?
Answer:
it's just the multiple of it. first row is 21. second row is 8
Step-by-step explanation:
it's just 7, 7×2, 7×3
4,4×2,4×3
You can use ratios to solve the table
you know that for every 7 cups of sugar there are 4 cups of milk
The next column gives 14 cups of sugar but an unknown amount of milk
14 is 2 times 7, so the amount of milk would be 4 times 2, or 8 cups
The same logic can be applied for the rest
12 is 3 times 4, so the amount of sugar in column 3 would be 3 times 7
and so on and so forth
Alex wants to use a cookie recipe that makes 48 cookies but he wants to reduce the number of cookies to 32. If the recipe specifies using 3 cups of sugar, how much sugar should he use?
Answer:
Step-by-step explanation:
Alex should use 2 cups of sugar.
What is multiplication?
Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Alex wants to use a cookie recipe that makes 48 cookies.
If the recipe specifies using 3 cups of sugar,
then sugar for one cookie = 3/48 = 0.0625 cups of sugar.
But he wants to reduce the number of cookies to 32.
If the recipe specifies using 3 cups of sugar,
then 32 x 0.0625 = 2 cups of sugar.
Therefore, 2 cups of sugar, he should need.
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im adding 200 points to the next bc i don't want people getting it without answering, but please answer this, <3 and msg me for my sxocixal media if u can't see it so i can show you an up close image :P
Answer:
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
Multiply. Write each product in simplest form.
9. 3×11
10. //
13. 021-
12.
20
=
=
=
11. 2×4=
8 9
X
18 20
14.
=
Answer:
Te conozco y sé qué
Como Nuevo de fabrica el otro
LAST ONE PLS HELP PLS ASAP PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
1/5
Step-by-step explanation:
Total Frequency is 14+21+70 = 105
Sewing has frequency of 21
21/105 = 0.2 = 1/5
use the inclusion-exclusion to solve 7.3.5.3: if trent’s four dice are 10-sided dice instead of 12-sided, how many ways can he roll a total of 24?
The number of ways to roll a total of 24 with four 10-sided dice is 2925.
To solve this problem using inclusion-exclusion, we need to consider all possible ways to roll a total of 24 with the four 10-sided dice, and then subtract the number of cases where at least one die rolls a number greater than 10.
However, we also need to add back the number of cases where at least two dice roll a number greater than 10, since they were subtracted twice.
Let A be the event that at least one die rolls a number greater than 10, and let B be the event that at least two dice roll a number greater than 10. Then we can use the inclusion-exclusion principle:
N(A) = total number of ways to roll 24 with four 10-sided dice = (number of solutions to x1 + x2 + x3 + x4 = 24) = C(24 + 4 - 1, 4 - 1) = C(27, 3) = 2925
N(B) = total number of ways to roll 24 with at least two dice greater than 10
If two dice are greater than 10, then their sum can be 11, 12, ..., 18, for a total of 8 possibilities. For each of these cases, we need to find the number of ways to distribute the remaining 16 points among the four dice, where each die can have any value from 1 to 10. This can be done using stars and bars:
For 11, the remaining 16 points can be distributed among 4 dice in C(16 + 4 - 1, 4 - 1) = C(19, 3) = 969 ways.
For 12, the remaining 16 points can be distributed among 4 dice in C(14 + 4 - 1, 4 - 1) = C(17, 3) = 680 ways.
For 13, the remaining 16 points can be distributed among 4 dice in C(12 + 4 - 1, 4 - 1) = C(15, 3) = 455 ways.
For 14, the remaining 16 points can be distributed among 4 dice in C(10 + 4 - 1, 4 - 1) = C(13, 3) = 286 ways.
For 15, the remaining 16 points can be distributed among 4 dice in C(8 + 4 - 1, 4 - 1) = C(11, 3) = 165 ways.
For 16, the remaining 16 points can be distributed among 4 dice in C(6 + 4 - 1, 4 - 1) = C(9, 3) = 84 ways.
For 17, the remaining 16 points can be distributed among 4 dice in C(4 + 4 - 1, 4 - 1) = C(7, 3) = 35 ways.
For 18, the remaining 16 points can be distributed among 4 dice in C(2 + 4 - 1, 4 - 1) = C(5, 3) = 10 ways.
So, the total number of ways to roll 24 with at least two dice greater than 10 is:
N(B) = 8*(969 + 680 + 455 + 286 + 165 + 84 + 35 + 10) = 38304
By the inclusion-exclusion principle, the number of ways to roll a total of 24 with four 10-sided dice is:
N = N(A) - N(B)
N = 2925
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The new school copy machine makes 3,480 copies per hour. How many copies does the machine make per minute? How did you get your answer?
PLEASE HELP WILL GIVE BRAINLIEST + 30 POINTS!!!!
Find m∠B
17. A man can row at 8 km/hr in still water. If the
river is running at 2 km/hr, it takes him 48
minutes to row to a place and coming back. How
far is the place ?
(a) 1 km
(b) 2 km en
(c) 3 km
(d) 4 km
Answer:
(c) 3 km
Step-by-step explanation:
Speed in still water: 8 km/h
Speed of river: 2 km/h
Speed downstream: 8 km/h + 2 km/y = 10 km/h
Speed upstream: 8 km/h - 2 km/h = 6 km/h
total time both ways: 48 minutes = 48/60 hour = 0.8 hour
time to go upstream: t
time to go downstream: 0.8 - t
speed = distance/time
s = d/t
d = st
Upstream:
d = st
d = 6t
Downstream:
d = st
d = 10(0.8 - t)
The distance upstream and downstream is the same.
6t = 10(0.8 - t)
6t = 8 - 10t
16t = 8
t = 0.5
d = 6t = 6(0.5)
d = 3
Answer: (c) 3 km