Answer:
i think a year or less like 6 months
Step-by-step explanation:
Lucky’s Market purchased a new freezer for the store. When the freezer door stays open, the temperature inside rises. The table shows how much the temperature rises every 15 minutes. Find the unit rate.
The unit rate per minute is 2/3.
What is the unit rate?
In order to determine the unit rate, divide the temperature by the time. Division is the mathematical operation that is used to determine the quotient of a number.
Unit rate = temperature / time
10 / 15 = 2/3
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A student bought 3 boxes of pencils and 2 boxes of pens for $6. He then bought 2 boxes of pencils and 4 boxes of pens for $8. Find the cost of each box of pencils and each box of pens.
Answer:
.
Step-by-step explanation:
Each box of pens are valued at $1.50, thus for 2 boxers it would be 1.50 x 2 = $3. Thus, 2 boxes of pens = $3. Each box of pencils cost $1. therefore 3 boxes of pencils valued at $1 each = to $3. Final equation $3 + $3 = $6 for the first purchase. Using the same numbers we valued the 2 boxes of pencils at $1 each = $1 pencil box + $1 pencil box = $2 for 2 boxes. Then 4 pen boxes valued at $1.50 each = to $1.50 x 4 = $6 Final equation $6pen + $2pencil = $8 final
Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 2xy; x ge 0, y ge 0, x2 +y2 le 25 Answer:
From the polar coordinates, the integrate value of f(x,y), f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25 over D using polar coordinates is equals to the \( \frac{625}{4}\). The sketch of D is in attached figure.
The equation of a circumference in rectangular coordinates and origin as centre is x² +y² =R² , where R is the radius of the circumference. In polar coordinates, x² + y² = ρ, ρ is the polar radius. We have function f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25. It is an equation of a circle with radius 5 centered at the origin, however, since x and y must both be greater than or equal to 0, the region D is restricted to the portion of the circle in the first quadrant. So, the sketch of D is present in attached figure.
Now, we convert the cylindrical coordinates, r will span from 0 to 5 and θ will span from 0 to π/2. The integrand, f(x,y) = 2xy then f(r, θ) = 2(r sin(θ))(r cos(θ)) = 2r²sin(θ)cos(θ) = r²sin(2θ) and the double integral is \(\int_{0}^{\frac{π}{2}}\int_{0}^{5} r³sin(2θ)drdθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{ r⁴}{4}sin(2θ)]_{0}^{5}dθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{5⁴}{4}sin(2θ)]dθ\)
\(= \frac{5⁴}{4}[\frac{ -cos(2θ)}{2}]_{0}^{\frac{π}{2}}\)
\(= -\frac{5⁴}{8}[ cos(π) - cos(0°)]\)
\(= - \frac{5⁴}{8}[ -1 - 1 ]\)
\(= \frac{625}{4}\)
Hence, required value is \( \frac{625}{4}\).
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If U= {a, b, c, d, e, f, g, h, i}, A = {a, b, d, f), B = {a, c, e, f} andC = {d, f, g, h} then (a) Show the relation of U, A, B and C in a Venn-diagram. (b) Find A - (AnBnC)
[Ans: (a, b, d}]
The venn diagram is given below and A - (AnBnC) is {a, b, d}.
What is venn diagram?
A Venn diagram consists of one or more circles, each representing a set. The items that belong to each set are placed inside the appropriate circle, and the overlapping areas between the circles represent items that belong to both sets.
(a) Here's a Venn diagram that shows the relation of U, A, B, and C:
The circle labeled "A" represents the set A, the circle labeled "B" represents the set B, and the circle labeled "C" represents the set C. The regions where the circles overlap represent the elements that are in more than one set.
(b) A - (AnBnC) means the elements that are in set A but not in the intersection of sets A, B, and C. To find these elements, we first need to find the intersection of sets A, B, and C:
AnBnC = {f}
Then, we can subtract that set from set A:
A - (AnBnC) = {a, b, d}
Therefore, A - (AnBnC) is {a, b, d}.
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2(m+2n)
What’s the answer
Is 2g + 2d equivalent
to 2(g + d) ? Why or why not?
Answer:
Yes
Step-by-step explanation:
When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.
find the value of each variable in the parallelogram.
Answer:Y=15 X=9
Step-by-step explanation:
Help me with this please!
Answer: 37
Step-by-step explanation:
If you use the pythagorean theorem formula which is \(\sqrt{a^2+b^2\). You would do :
\(\sqrt{12^2+35^2\)
= 37
The question is One equivalent expressions in the distributive property
Expression given:
\(7\cdot(3a+11b)\)The distributive property states that:
\(a\cdot(b+c)=ab+ac\)Then, using this property, we can rewrite the given expression as follows:
\(=7\cdot(3a)+7\cdot(11b)\)Simplifying we get:
\(=21a+77b\)nswer:
\(=21a+77b\)in a neighborhood donut shop, one type of donut has 440 calories, five types of donuts have 350 calories, seven types of donuts have 530 calories, five types of donuts have 330 calories, and five types of donuts have 580 calories. find the range. calories find the standard deviation. round your answer to the nearest tenth, if necessary. calories
The range is 250 calories and the standard deviation is 57.5 calories.
In a neighbourhood donut shop, one type of donut has 440 calories, five types of donuts have 350 calories, seven types of donuts have 530 calories, five types of donuts have 330 calories, and five types of donuts have 580 calories
The formula for the range is given by;`
range = maximum value - minimum value`
The minimum value in this case is 330 and the maximum value is 580Therefore, `range = 580 - 330 = 250`
The formula for standard deviation is given by;`s = sqrt [Σ(x - µ)² / N]`
where Σ is a symbol of summation, x is the value, µ is the mean, N is the number of data and s is the standard deviation.
Calculate the mean (µ)`µ = Σ fx / N = 11960 / 23 ≈ 520.87`Substitute the values in the formula above and calculate;
Calories (x)fx(x - µ)² 3301750(-190.87)² 3501750(-170.87)² 440440(-80.87)² 5303710(9.13)² 5802900(59.13)²Total = 352191.55`s = sqrt (352191.55 / 23)≈ 57.5 calories
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Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
What is the solution to the system of equations?
y = 2/3x + 3
x =-2
[-2, -15/2 ]
[-2, 5/3]
(-2, 11/6
(-2, 13/3)
Answer:
(- 2, \(\frac{5}{3}\) )
Step-by-step explanation:
y = \(\frac{2}{3}\) x + 3 → (1)
x = - 2
substitute x = - 2 into (1)
y = \(\frac{2}{3}\) × - 2 + 3 = - \(\frac{4}{3}\) + \(\frac{9}{3}\) = \(\frac{5}{3}\)
solution is (- 2, \(\frac{5}{3}\) )
please help easy maths
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
The y intercept occurs when x = 0.
All you have to do is read the table until you come to x = 0.
When you do, read down to get the y value.
The answer is A (0,2)
A surf instructor has an initial fee of $12 and charges $8
per hour for lessons.
Explain how to determine what the y-intercept is and
where it would be located on the graph.
Given:
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons.
To find:
The y-intercept and its location on the graph.
Solution:
Initial fee = $12
Variable fee = $8 per hour.
Let the total fee be y for x hours. Then,
\(y=12+8x\)
Put x=0, to find the y-intercept.
\(y=12+8(0)\)
\(y=12+0\)
\(y=12\)
Therefore, the y-intercept is 12.
Table of values for \(y=12+8x\),
x y
0 12
-1 4
Plot (0,12) and (-1,4) on a coordinate plane and connect them by a straight line.
Clearly, the y-intercept is located at (0,12).
Because m < n m = n am < bn am = bn this is where the function is undefined
Answer: This is where the answer is undefined
Step-by-step explanation:
Edge 2022 :)
Answer: 5th option
Step-by-step explanation:
edge 2023
Janice drove 392 miles in 7 hours. What is the average number of miles she drove per
hour?
Answer:
Step-by-step explanation:
Total Distance = 392 miles
Total Time = 7 hours
Average Miles / hour = 392 miles / 7 hours
Average Miles / hour = 56 miles per hour
unit 7 polygons and quadrilaterals homework 3 rectangles
If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.
In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.
First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.
Finally, you can use the Pythagorean Theorem to find the missing measures.
The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Using this theorem, you can find the length of the hypotenuse of the rectangle.
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Complete Question:
if each quadrilateral is given, then define the steps to find the missing measures a rectangle.
use spherical coordinates to calculate the triple integral of f(x, y, z)=x2 y2 over the region rho≤2.
Spherical coordinates are a system of coordinates that describe points in three-dimensional space using a distance from the origin, an angle of inclination from the positive z-axis, and an angle of rotation around the z-axis.
To calculate the triple integral of f(x, y, z)=x2 y2 over the region rho≤2 using spherical coordinates, we first need to express the function in terms of the spherical coordinates.
We know that in spherical coordinates,
x = ρ sin(φ) cos(θ)
y = ρ sin(φ) sin(θ)
z = ρ cos(φ)
where ρ is the radial distance, θ is the azimuthal angle, and φ is the polar angle.
So, f(x, y, z) = x2 y2 can be expressed as
f(ρ, φ, θ) = (ρ sin(φ) cos(θ))2 (ρ sin(φ) sin(θ))2
= ρ4 sin2(φ) cos2(θ) sin2(φ) sin2(θ)
= ρ4 sin4(φ) cos2(θ)
Now, we can set up the triple integral using spherical coordinates.
∫∫∫ f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ
= ∫0^2π ∫0^π/2 ∫0^2 f(ρ, φ, θ) ρ2 sin(φ) dρ dφ dθ
= ∫0^2π ∫0^π/2 ∫0^2 ρ4 sin4(φ) cos2(θ) ρ2 sin(φ) dρ dφ dθ
= ∫0^2π ∫0^π/2 ∫0^2 ρ6 sin5(φ) cos2(θ) dρ dφ dθ
= ∫0^2π ∫0^π/2 [ρ7/7 sin5(φ) cos2(θ)]0^2 dφ dθ
= ∫0^2π ∫0^π/2 32/7 sin5(φ) cos2(θ) dφ dθ
= 32/7 ∫0^2π cos2(θ) dθ ∫0^π/2 sin5(φ) dφ
= 32/7 [π sin6(π/2)/6]
= 32π/21
Therefore, the triple integral of f(x, y, z) = x2 y2 over the region rho≤2 using spherical coordinates is 32π/21.
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7 - 2x = 11
What is the value of x? Show your working.
Answer: x = - 4
Step-by-step explanation:
7-2x=1
PEMDAS
so add 7 to both sides
-2x=8
divide by -2 from both sides
x=-4
Answer:
x = -2
Step-by-step explanation:
Let's find the required value of x,
→ 7 - 2x = 11
→ -2x = 11 - 7
→ -2x = 4
→ x = -4/2
→ [ x = -2 ]
Therefore, the value of x is -2.
how much should a healthy shetland pony weigh? let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms).
A healthy Shetland pony's weight can vary based on factors such as age, gender, and activity level. However, as a general guideline, a Shetland pony that is 6-12 months old should weigh between 70-110 kg, while an adult Shetland pony should weigh between 200-300 kg.
It is important to note that these are average weights and may vary depending on individual factors. Regular weigh-ins and monitoring of a pony's weight can help ensure they maintain a healthy weight.
A healthy Shetland pony's weight depends on its age (x) in months. Generally, the weight (y) of a healthy Shetland pony can be estimated using the following formula: y = a + bx where 'a' and 'b' are constants, and 'x' represents the pony's age in months. For Shetland ponies, the average adult weight (y) is approximately 200 kg. Since their growth rate can vary, it's challenging to provide a specific formula for all ponies. However, here's a simplified step-by-step approach to estimate the weight of a healthy Shetland pony based on its age: 1. Determine the pony's age (x) in months.
2. If the pony is an adult (e.g., over 36 months), its weight (y) should be around 200 kg.
3. For younger ponies, estimate their weight by considering the average adult weight and their growth stage (e.g., a pony half the age of an adult might weigh around half the adult weight).
Remember, individual ponies can vary, and it's essential to consider factors like nutrition and overall health when assessing a Shetland pony's weight.
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Using the definition of martingales
Let two martingales in respect to the same filtration. Prove that the process is a supermartingale.
In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).
A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if all the following holds for all t :
(i) E|\(X_{t\)| < ∞
(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)
If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)] ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\)) is submartingale with respect to (\(F_{t}\)).
If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).
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I’m trying to get this math test done, can I please have some help?
Answer: B
Step-by-step explanation:
If you use slope-intercept form, you can see that B uses the equation y = 5x - 4, and you can also see that it is linear since it is proportional. The only coordinate plane that has a nonlinear line is D.
Write 0.00548 in scientific notation.
Answer: 5.48 × 10^-3.
Step-by-step explanation:
1+1=x
if i were trying to find x what would x be
Answer:
X = 2
Because x means our answer and the answer to 1 + 1 is 2!
Answer:
2
Step-by-step explanation:
1+1=2
x=2
I need help. Can u help me before tomorrow?
Answer:
250/100 x 72 = 180
She has completed 180 invitations
Step-by-step explanation:
Decimal multiplication problem:
250 x 0.72 = 180
What Is the slope of the line on the graph? will mark brainliest
Answer:
The slope is 1/2
Step-by-step explanation:
The equation is y= 1/2x +2
So the slope would be 1/2
Which equation below would be parallel to the line y= 2x+5 and pass through the point (3,1)
A train traveled 10 miles in 6 minutes.
At this rate, how far will it travel in 20
minutes?
Hey there! I'm happy to help!
First, let's see how many times 6 minutes fits into 20 minutes.
20/6=3 1/3
So, we are traveling 10 miles 3 1/3 times!
10×3 1/3=33 1/3
This train will travel 33 1/3 miles in 20 minutes.
Have a wonderful day! :D
How do you solve longest side?
A researcher is interested in comparing two teaching methods for slow learners. In particular, the researcher wants to determine if a new method of teaching is better (gives higher scores) than the standard method currently used. Type I error rate is set at alpha=0.05. Ten slow learners are taught by the new method and 12 by the standard method. The results of a test at the end of the semester are given below (assume that the normal distribution with equal variances assumptions are satisfied)
Test scores (new method): 80, 76, 70, 80, 66,85, 79,71,81,76. Test scores (standard method): 79,73,72,62, 76, 68, 70, 86,75, 68, 73,66. What is the appropriate research hypothesis? (assume mu_1 = true mean of all scores under new method, and mu_2=true mean of all scores under standard method) - sample mean scores of the new method is higher than that of the standard method - mu_1 - mu_2 is "not equal to zero - mu_1 - mu 2 > 0 - mu_1-mu 2 < 0
The appropriate research hypothesis in this case is: "The sample mean scores of the new teaching method are higher than those of the standard teaching method."
To clarify, let's define the hypotheses more explicitly:
- Null Hypothesis (H0): The true mean of the scores under the new teaching method (mu_1) is equal to or less than the true mean of the scores under the standard teaching method (mu_2). H0: mu_1 <= mu_2
- Alternative Hypothesis (H1): The true mean of the scores under the new teaching method (mu₁ is greater than the true mean of the scores under the standard teaching method (mu₂). H1: mu_1 > mu_2
In other words, the researcher wants to determine if the new teaching method leads to higher scores compared to the standard method.
The alternative hypothesis suggests that there is a difference in favor of the new method, specifically that the true mean of the scores under the new method is greater than the true mean of the scores under the standard method.
The type I error rate, alpha, is set at 0.05, which means that if the p-value (the probability of observing the data given that the null hypothesis is true) is less than or equal to 0.05, we will reject the null hypothesis in favor of the alternative hypothesis.
It's worth noting that this is a one-sided test because we are only interested in determining if the new method is better (i.e., leads to higher scores) than the standard method.
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