Answer:
20 lbs cost $10
Step-by-step explanation:
36 lbs= $180
x = $10
Let's use the cross method
36*10 = 180x
360 = 180x
360/180 = 180x/180
20= x
20 lbs cost $10
I know, I was also shocked with the answer but trust me :) I checked the answer. Hope this helps!
Part B
Think about graphing the relationship between the length and the width of the TV screens. What do you predict the graph
would look like?
Answer:
They would be perpendicular to each other.
One would have a slope of 0 (horizontal line) and the other would have an undefined slope (vertical line)
Step-by-step explanation:
pls answer asap! i need help :c
If Jim traveled 67 miles per hour for 4.25 hours, calculate the distance he traveled.
d = rt
Answer:
284.75 = 67(4.25)
284.75 Miles
Step-by-step explanation:
Answer:
15 mph
Step-by-step explanation:
HELP PLEASE!!!
3g >12
Answer:
2 : g<4
Step-by-step explanation:
light blue
HELPPPPPO
In a school of 500 students, a random sample of 60
students are asked what
their favorite subject is. The
results are in the table. Based on this sample, how
many students in the school would we predict have
math as a favorite subject?
Answer:
150
Step-by-step explanation:
'x' = number of students out of 500 who selected math
18/60 = x/500
cross-multiply:
60x = 9000
x = 150
Simplify 7-5x-(3+5x)
Answer:
4-10x
Step-by-step explanation:
Hey there!
7 - 5x - (3 + 5x)
= 7 - 5x - 1(3 + 5x)
= 7 - 5x -1(3) - 1(5x)
= 7 - 5x - 3 - 5x
COMBINE the LIKE TERMS
= (-5x - 5x) + (7 - 3)
= -10x + 4
Therefore, your answer should be: -10x + 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The product of a number and 9 falls short of 78 by 6, what is the number? Show working.
Answer:
8
Step-by-step explanation:
78 - 6 = 72 (Since the number falls short by six)
72 ÷ 9 = 8 (Number times 9 that equals 72)
How many terms of the series do we need to add in order to find the sum to the indicated accuracy?.
The number of terms required to achieve a desired accuracy in finding the sum of a series depends on the specific series and the level of accuracy desired. In general, as we add more terms to the series, the approximation of the sum improves, leading to a higher level of accuracy.
To understand how many terms are needed to find the sum with a given accuracy, let's consider an example. Suppose we have an infinite series represented as:
S = a + b + c + d + ...
where 'a', 'b', 'c', 'd', and so on are the terms of the series.
To find the sum of this series, we can take partial sums by adding a certain number of terms. For example, if we add only the first two terms, we get S2 = a + b. If we add the first three terms, we get S3 = a + b + c. The more terms we add, the closer the partial sum gets to the actual sum of the series.
The accuracy of our approximation is determined by the difference between the partial sum and the actual um. To specify the desired accuracy, we can define an error tolerance or a maximum allowable difference between the partial sum and the actual sum.
For instance, if we want our approximation to be accurate within a certain threshold, say ε, we need to find the smallest number of terms that make the difference between the partial sum and the actual sum less than ε.
The number of terms required to achieve the desired accuracy will depend on the convergence properties of the series. Some series converge rapidly, meaning that adding a few terms yields a very accurate approximation, while others converge slowly, requiring a larger number of terms for the same level of accuracy.
To determine the number of terms needed, we can use convergence tests specific to the series at hand. These tests include the Ratio Test, the Root Test, and the Comparison Test, among others. These tests help us determine whether a series converges or diverges and provide insights into its convergence rate.
In summary, the number of terms required to find the sum of a series with a given accuracy depends on the specific series and the desired level of accuracy. By using convergence tests and considering the error tolerance, we can estimate the number of terms needed to achieve the desired accuracy in approximating the sum of the series.
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Suppose E⃗ =2A⃗ +E→=2A→+ 3B⃗ 3B→ where vector A⃗ A→ has components AxAx = 5, AyAy = 2 and vector B⃗ B→ has components BxBx = -3, ByBy = -5.
Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).
To solve this equation, let's break it down component-wise. Given:
E⃗ = 2A⃗ + 3B⃗
We can write the equation in terms of its components:
Ex = 2Ax + 3Bx
Ey = 2Ay + 3By
We are also given the components of vectors A⃗ and B⃗:
Ax = 5
Ay = 2
Bx = -3
By = -5
Substituting these values into the equation, we have:
Ex = 2(5) + 3(-3)
Ey = 2(2) + 3(-5)
Simplifying:
Ex = 10 - 9
Ey = 4 - 15
Ex = 1
Ey = -11
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A set of data has MAD O and one of the data values is 14. What can you say about the data values?
Given:
Mean absolute deviation (MAD) = 0
One of the data values = 14.
To find:
The statement for other data values.
Solution:
We know that Mean absolute deviation (MAD) represents the average of absolute difference between observations and mean.
\(MAD=\dfrac{\sum |x_i-\overline x|}{n}\)
MAD is 0. It is possible if \(\sum |x_i-\overline x|\). It means all the values of \(|x_i-\overline x|\) are 0.
It means no deviations in mean angle values and all the values are the same.
Therefore, if MAD is 0 and one data value is 14, then all the data values are same, i.e., 14.
how to find the magnitude and direction of a vector using trig?
To find the magnitude and direction of a vector using trigonometry, you can follow these steps:
1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).
2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
magnitude(A) = √(Ax^2 + Ay^2)
3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
angle = arctan(Ay / Ax)
b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).
4. Convert the direction to degrees or radians, depending on the required format.
Let's consider an example to illustrate these steps:
Suppose we have a vector A with components Ax = 3 and Ay = 4.
1. Identify the components: A = (3, 4).
2. Calculate the magnitude:
magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
3. Find the direction:
angle = arctan(4 / 3) ≈ 53.13 degrees.
4. Convert the direction:
angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.
So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.
Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.
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A shipping box has a volume of 1,000 cubic inches. What is the length of one side of the box?
The length of one side of the box is 10 inches.
How to find the volume of a cube?Suppose that: The side length of the considered cube is L units.
Then, we get the Volume of that cube = L³ cubic units.
The volume of a cube is of the form V = L³, where L is the side length.
Given that the shipping box has a volume of 1,000 cubic inches.
Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:
1000 = L³
Cube root both sides:
L = \(\sqrt[3]{1000}\)
Therefore, each side is 10 inches.
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What's the answer? s = 11 and v = 8 (2s)^2v
Step-by-step explanation:
(2(11))^2(8)=22^16
you can use it calculator to finish it up
notice 2s is in brackets before the power sign so U deal with the brackets first
NEED HELP ASAP
If the side lengths of a cube are 15 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
15 ⋅ 15 ⋅ 15
15 ⋅ 3
3^15
15^3
Evaluate the following expression when x = 30 and y = 28.
12(x - y)3 + 19x - 37
A.
324,533
B.
605
C.
-21,059
D.
629
Answer:
605
Step-by-step explanation:
12(x-y)3+19x-37
x=30 y=28
12(30-28)3 +19(30)-37
12(2)3 + 570-37
72 +533 =605
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
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write an expression to represent the following situation:10 dollars less then caitlin
use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 36x2 36y2.
Using cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).
To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.
In cylindrical coordinates, the solid e can be defined as follows:
Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).
Angle: θ ranges from 0 to 2π (full revolution around the z-axis).
Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.
To convert the integral, we need to express x^2 in terms of cylindrical coordinates:
x^2 = (rcosθ)^2 = r^2cos^2θ
The integral in cylindrical coordinates becomes:
∫∫∫ (r^2cos^2θ) r dz dr dθ
Now we can determine the bounds for the variables:
r ranges from 0 to 2.
θ ranges from 0 to 2π.
z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.
Substituting the bounds and integrating, we can evaluate the integral to find the desired result.
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The fastest sprinter in the world runs at a speed of 36 km/hr while a cat runs at a speed of 48 km/hr. How many seconds would a cat take to run the distance which a sprinter runs at 30 seconds?
Answer:
kilometres our parents print events at 30 seconds cat 1 run to distance which a sprinter venture xxxii xxxii xxxii xxxii xxxii
Step-by-step explanation:
to him and his wife i y
Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.
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Help me asap, please !!!!!!!!!!!!!!!!!!!
According to the information, it can be inferred that the cheapest way to buy 5 kilos of rice is buying 5 units of 1kg for £7.
How to calculate the cheapest way to buy 5kg of rice?To buy 5 kg of rice we have three alternatives. We can buy 5 units of 1kg rice; 4 units of rice of 1.5kg; 3 units of 2kg rice.
According to the above, we must multiply the value of each of the quantities, by the number of units we need:
5 * £1.40 = £74 * £2.05 = £8.23 * £2.65 = £7.95Based on the above, the correct answer would be to buy 5 units of 1kg rice for £7.
Note: This question is incomplete because there is some information missing. Here is the complete information:
I could buy 5kg of rice in different ways. BUT i have to do it in the CHEAPEST way possible.
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Which equation reveals the minimum or maximum value of f (x) without changing the form of the equation?
)A) ƒ (x) = (x+3)(x − 4)
(B) ƒ (x) = x² - 8x +15
(C)ƒ (x) = (x + 2)² − 1
(D) f(x) =x^2 +2x -1
The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
What exactly is an equation?A formal statement of the equality or equivalence of two mathematical or logical expressions. : a quantitative expression representing a chemical reaction using chemical symbols.A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. After solving this equation, we obtain the value of the variable x as x = 7.An equation is made up of expressions that have the same value. A formula is a two- or more-variable equation that represents a relationship between the variables.Hence, The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.
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Please help!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
After an oil spill in the ocean, oil continues to leak into the water. In the accompanying table, x represents time, in hours, and y represents the diameter of the spill on the surface, in meters. Write a power regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the diameter of the spill, to the nearest meter, after 52 hours.
The diameter of the spill after 52 hours is 1,934.46 m, rounded to the nearest meter this is 1,934 m.
Regression analysis is one of the sophisticated statistical modeling techniques in which we try and establish a relationship between variables, the dependent or response variable, and one or more independent or explanatory variables.
The power regression equation for this set of data is y = 1.42x²°⁵⁵.
To find the diameter of the spill after 52 hours, plug in x=52 into the equation and solve:
y = 1.42(52)²°⁵⁵ = 1,934.46 m
Therefore, the diameter of the spill after 52 hours is 1,934.46 m, rounded to the nearest meter this is 1,934 m.
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The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
How do you prove closed under addition?
A closed under addition can be proved if the sum of any two members of the set also belongs to the set.
We can take any two even integers and add them together. The result is an even integer. A set is closed under scalar multiplication if the product of any member and a scalar is also in the set. In other words, if x is in S and a is any scalar then ax will be in the set if the set is closed under scalar multiplication. For example, the set of 2 x 2 diagonal matrices is closed under scalar multiplication.
For example,
A = {( x, y) , y = 0 }
B= { (x, y) , x+ y = 1 }
Typical elements of A are (1,0), (2,0). The element (1,1) is an element not in A. Typical elements of B are (1,0), (1/2,1/2). The element (1,1) is an element not in B. Now A and B carry an addition that is (x, y)+(x', y')=(x + y, x' + y')). Saying that A is closed under addition just means that whenever you take two elements in A, the sum of those elements is again in A. Let's check if this is the case: two elements in A have the form (x, 0) and (x', 0). The sum of those elements is (x + x', 0), and this is again in A. Thus A is closed under addition.
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Consider the following formula y−p/2=e. Rearrange the formula to solve for "p":
Answer:
p = 2y - 2e
Step-by-step explanation:
Eliminate the fraction by multiplying all terms by 2:
2( y−p/2=e) = 2y - p = 2e
Now subtract 2e from both sides, obtaining: 2y - 2e = 0.
Finally, add p to both sides: p = 2y - 2e
Solve the given system of differential equations by systematic elimination.
(D − 1)x+ (D² + 1)y = 1
(D² − 1)x+ (D + 1)y = 2
(x(t), y(t)) = (e^-t/2 [-5/3cos(√47/2)t - 125/3 sin(√47/2)t]+ 20/3 cos (3t) + 20/3 sin (3t)
Given system of differential equation is(D − 1)x+ (D² + 1)y = 1 ...
(i)(D² − 1)x+ (D + 1)y = 2 ...(ii)By using systematic elimination method, we have(D²+1)(D²−1)x+(D+1)(D−1)y=D²+1×1-(D+1)×1=0Simplifying the above equation, we get(D⁴-1)x=-(D-1)y...(iii)Applying D on both sides of (iii), we get D(D⁴-1)x=-(D-1 )DyD⁵x- Dx=-(Dy-y)or D⁵x+Dy=y ... (iv)Now applying D on (i), we get(D−1)Dx+(D²+1)Dy=0or D(D²+1)y=(1-D)x ...(v)Now applying D on (ii), we get(D²−1)Dx+(D+1)Dy=0or D(D+1)x=(1+D)y ...(vi)Now, substituting the value of x and y from equations (v) and (vi) in equation (iv), we getD⁵x+(1+D)Dx=(1-D)Dy D⁵x+(1+D)Dx=-(1-D)x ...(vii) Simplifying the above equation, we getD⁶x+2D⁴x+D²x+x=0or D²(D⁴+1)x+D²x=-x ...(viii)or D²(D⁴+2)x=-xor D⁴x+2x=-xor D⁴x=-3xNow using D on both sides, we get D⁵x=-3Dxor D⁶x=-3D²x
Now, substituting the value of D²x from equation (iii) in equation (i), we get(D-1)x+(D²+1)y=1 ...(i)⇒ (D-1)x+y=1 ...(ix)Now, substituting the value of D²x from equation (iii) in equation (ii), we get(D²-1)x+(D+1)y=2 ...(ii)⇒ -(D+1)x+y=0or (D+1)x-y=0 ...(x)From equation (ix) and (x), we have2x=1or x=1/2Now, substituting the value of x in equation (ix), we have D(1/2)+y=1or y=1-1/2=1/2Thus, the solution of the given system of differential equation is(x(t), y(t))=(e^(-t/2))[(-5/3)cos((sqrt(47)/2)t)-(125/3)sin((sqrt(47)/2)t)]+(20/3)cos(3t)+(20/3)sin(3t), (1/2)
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this a picture of what of the graph
Answer:
a
Step-by-step explanation: