Factors of 64a3 - 343b 3 are

Answer: 37.5

Step-by-step explanation:

75 divided by 2

SOLUTION

Let's list the values first. These are

48, 65, 60, 45, 54, 64, 70 and 45

Now, we have to arrange these values from the smallest to the largest. Doing this we have

45, 45, 48, 54, 60, 64, 65, 70.

The median will be between the middle items which are 54 and 60. So we will find the median by the following way

Therefore, the Median is 57°F

The derivative of f(x) = x^2sin(x) is (2xsin(x)) + (x^2*cos(x)). The correct formula for finding the derivative of the product of two functions is (fg)' = f'g + fg'.

This formula is known as the product rule in calculus and is widely used to differentiate a function that is the product of two other functions.

To use this formula to find the derivative of a specific function, we must first identify the two functions that make up the product. Once we have identified these functions, we can apply the product rule by taking the derivative of the first function times the second, plus the derivative of the second function times the first.

For example, let's say we want to find the derivative of the function f(x) = x^2*sin(x). In this case, we can identify the two functions as f(x) = x^2 and g(x) = sin(x). Applying the product rule, we get:

(fg)' = f'g + fg'

= (2xsin(x)) + (x^2cos(x))

Therefore, the derivative of f(x) = x^2sin(x) is (2xsin(x)) + (x^2*cos(x)).

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The given differential equation dy/dx = xy³ describes the behavior of systems that change continuously over time.

To construct a slope field, we choose a set of points in the xy-plane and calculate the slope of the solution at each point. The slope at a point (x,y) is given by the right-hand side of the differential equation evaluated at that point:

slope = f(x,y) = xy³

We can then draw a short line segment with that slope at each point. The slope field gives us an idea of the direction and steepness of the solution curves at each point in the xy-plane.

To sketch a slope field for the given differential equation at the 9 points indicated, we first choose the 9 points as shown on the provided axes. We then calculate the slope at each point using the equation above and draw a short line segment with that slope at each point. The resulting slope field is shown below:

By drawing a slope field, we can visualize the solutions of the equation and gain insights into their direction and steepness at different points in the xy-plane.

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Connective tissue bands called annular ligaments prevent flexor tendons of the forearm and leg from rising like bowstrings.

Annular ligaments are ring-like structures made of fibrous tissue that surround and hold tendons in place as they pass through tight spaces in the body. In the forearm, the annular ligaments hold the tendons of the flexor muscles in place as they pass under the wrist and into the hand.

In the leg, the annular ligaments hold the tendons of the hamstring muscles in place as they pass behind the knee.

Without annular ligaments, the tendons would be able to move too freely, causing them to bowstring and reducing their effectiveness in controlling movement. The annular ligaments help to keep the tendons in the correct position, allowing them to function properly and enabling smooth and efficient movement of the joints.

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The value of x is 11 1/2 OR 11.5

From the question, we are to determine the value of x

In the given diagram, we have two isosceles triangles

Since base angles of isosceles triangles are equal,

Then, each of the base angles of the isosceles triangle is 68°

Then, we can write that

m ∠2 + 68° + 68° = 180° (Sum of angles in a triangle)

From the given information,

m ∠2 = 4x - 2

Then,

4x -2 + 68° + 68° = 180°

4x = 180 - 68 - 68 +2

4x = 46

x = 46/4

x = 11 1/2 OR 11.5

Hence, the value of x is 11 1/2 OR 11.5

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Answer:

if the temperature was at 15 and dropped to zero the amount it changed would be is -15. The integer is -15 because an integer is a whole number and it can also be a negative or positive number it just can not be a fraction

Answer:

20

Step-by-step explanation:

120/6 = 20

Answer:

just do

Step-by-step explanation:

120 multiply by 6

Answer:

1x

Step-by-step explanation:

4x x 6x

Answer:

250 is the answer

Step-by-step explanation:

200 to start and 50 for monthly and its one month so 250

Given function is,

To find the Horizontal and vertical shift.

Horizontal shift is defined as any changes which is made by adding or substracting to the variable x in the function.

Vertical shift is defined as any changes which is made by adding or substracting to the variable y in the function.

So in the given function the value inside the root is ( x+2 ). so the horizontal shift is two unit left side.

So in the given function the value out side the root is -3, which directly add it to the variable y.

So the vertical shift is three unit down ( Downwards since negative side ).

So the required answer is 2 units left side and 3 units downwards.

Given:

The table that represents the drink sales for an afternoon at the school carnival.

To find:

The experimental probability that the next drink is a small coffee.

Solution:

From the given table it is clear that,

The total number of drinks sold = 72+99+63+68+47+58

                                                     = 407

The number of small coffee sold = 63

Now, the experimental probability that the next drink is a small coffee is:

\(\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}\)

\(\text{Probability}=\dfrac{63}{407}\)

It cannot be simplified further.

Therefore, the experimental probability that the next drink is a small coffee is \(\dfrac{63}{407}\).

Answer:

1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Take the two points

(-2,4) and (4,-2)

And we can find the  slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/( 4 - -2)

   =(-2-4)/(4+2)

   = -6/6

   = -1

Answer:

72 inches

Step-by-step explanation:

To find a volume you do length×width×height

In this case 4 is the length 6 is the width and 3 is the height.

So, you multiply them together to get the volume equaling 72 inches

I hope this helps and thanks for asking :)

Answer:



Step-by-step explanation:

X+

(2x+3)-(x+2)

First you subtract 3 by 2. You wil get 1.

They you subtract 2x by x. You will get 1

So, your answer is x+1

Answer:

eight is the answer

Step-by-step explanation:

........

Answer:

Step-by-step explanation:

Given expression:

Solve to get the power:

Your answer is D.

Answer:

The drop per hour is 4 1/2 degrees per hour

Step-by-step explanation:

In 3 hours, we had a drop of 13 1/2

So per hour, the drop we will have is;

13 1/2 divided by 3

Which is;

27/2 * 1/3

= 9/2 = 4 1/2 degrees per hour

K=basketball, S= baseball

10K

5S

3 K & S

26 total

P(K) = 10/26, P(S) = 5/26 P(K^S) = 3/26

P(K v S) = P(K) + P(S) - P(K^S) = 10/26 + 5/26 - 3/26 = 12/26 = 6/13

Probability of randomly getting a student who plays either basketball or baseball = 6/13

The opposite angles of the cyclic quadrilateral are 180 degrees, which have become supplementary angles.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

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Answer:

4 hours ( i think sorry if wrong)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because u add them together to get one

$140.75

Step-by-step explanation:

$350 minus $165.65 is $184.35 . $184.35 minus 43.60 is 140.75 :)

j=2

Step-by-step explanation:

take the second numbers in each parentheses and subtract them. put this answer on top of a fraction

(j,3) (8,2)

2-3 = -1

take the first numbers and subtract. put this answer at the bottom of fraction

8 - J = 6

j = 2

answer should equal -1/6

the formula for a slope is y2-y1/x2-x1

look at the points like this, and fill in the places with the numbers and j they give you

(X1,y1) (X2,y2)

Answer:

Positive linear.

Step-by-step explanation:

The points are gradually rising as x increases.

Answer:

50% long legs 50% short legs

Step-by-step explanation: