What is 224% in its simplest form?

There are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

Let's consider the two scenarios separately:

Scenario 1: Bikes and warehouses are considered distinct.

In this case, each bike and each warehouse is considered distinct. We need to find the number of ways to distribute 100 distinct bikes among 4 distinct warehouses.

To solve this, we can use the concept of stars and bars. Imagine we have 100 stars representing the bikes, and we want to separate them into 4 distinct groups (warehouses) using 3 bars.

The number of ways to distribute the bikes can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes and warehouses are considered distinct.

Scenario 2: Bikes are indistinguishable, warehouses are distinct.

In this case, the bikes are indistinguishable, but the warehouses are distinct. We need to find the number of ways to distribute 100 identical bikes among 4 distinct warehouses.

This problem can be solved using the concept of stars and bars again. Since the bikes are indistinguishable, the placement of bars doesn't matter.

We can think of it as distributing the 100 bikes into 4 distinct groups (warehouses) using 3 bars. The number of ways to do this can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

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Answer:

= 25x² - 40x + 16

Step-by-step explanation:

(5x - 4)²

= (5x - 4) (5x - 4)

= 25x² - 20x - 20x + 16

= 25x² - 40x + 16

Hope this helps :)

Let me know if there are any mistakes!!

The outliers in the following scatterplots need to be circled:--5, 15-60

The points (-5,15) and (-60,7) are outliers.

An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:

--5, 15-60

The points (-5,15) and (-60,7) are outliers.

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Answer:

p3-3p2-16p+48=p2(p-3)-16(p-3)=(p2-16)(p-3) option (3) is the answer of it.

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

Answer:

Step-by-step explanation:

Theortical probability

A = 1/4

B = 1/3

C = 5/12

Experamental probability

A = 18/60 = 3/10

B = 20/60 = 1/3

C =  22/60 = 11/30

Answer:

3 3/5

Step-by-step explanation:

5 would go into 18 3 times completely.

5 * 3 = 15

We would have 3/5 left over.

So 18/5 would be 3 3/5.

2 8/5 is also correct, but it is not written properly. 3 3/5 would be the most ideal answer.

Hope this helps.

Answer:

2

Step-by-step explanation:

John had 10 and he gave Janet 8, which means that he remained with 2

The values of a, b, and c are:

a = -15/4

b is unknown

c = 11/4

Substituting these values into the equation y = ax^2 + bx + c, we get the equation in standard form of the parabola:

y = (-15/4)x^2 + bx + (11/4)

To find the equation in standard form of a parabola passing through the given points (1, 1), (-1, -3), and (-3, 1), we can use the standard equation for a parabola:

y = ax^2 + bx + c

We need to find the values of a, b, and c that satisfy the equation when substituted with the coordinates of the three points.

Let's start by substituting the point (1, 1) into the equation:

1 = a(1^2) + b(1) + c

1 = a + b + c   (equation 1)

Now substitute the point (-1, -3) into the equation:

-3 = a((-1)^2) + b(-1) + c

-3 = a - b + c   (equation 2)

Lastly, substitute the point (-3, 1) into the equation:

1 = a((-3)^2) + b(-3) + c

1 = 9a - 3b + c   (equation 3)

Now we have a system of three equations (equations 1, 2, and 3) with three unknowns (a, b, and c). We can solve this system to find the values of a, b, and c.

Solving the system of equations:

Adding equations 1 and 2, we have:

1 + (-3) = a + b + c + a - b + c

-2 = 2a + 2c

a + c = -1   (equation 4)

Subtracting equation 2 from equation 3, we have:

(9a - 3b + c) - (a - b + c) = 1 - (-3)

8a - 2b = 4

4a - b = 2   (equation 5)

We now have two equations (equations 4 and 5) with two unknowns (a and b). We can solve this system of equations.

Multiplying equation 4 by 4, we get:

4(a + c) = 4(-1)

4a + 4c = -4   (equation 6)

Adding equation 5 and equation 6:

4a - b + 4a + 4c = 2 + (-4)

8a - b + 4c = -2   (equation 7)

Now we have one equation (equation 7) with two unknowns (a and c). We can solve this equation to find the values of a and c.

Substituting equation 4 into equation 7:

8(a + c) - b + 4c = -2

8(-1) - b + 4c = -2

-8 - b + 4c = -2

b + 4c = 6 (equation 8)

Now we have two equations (equations 4 and 8) with two unknowns (b and c). We can solve this system to find the values of b and c.

Subtracting equation 4 from equation 8:

(-b + 4c) - (- b + 4) = 6 - (-1)

b + 4c + b - 4 = 6 + 1 4c - 4 = 7 4c = 11 c = 11/4

Now substitute the value of c = 11/4 back into equation 4:

a + (11/4) = -1

a = -1 - 11/4

a = -15/4

Therefore, the values of a, b, and c are:

a = -15/4

b is unknown

c = 11/4

Substituting these values into the equation y = ax^2 + bx + c, we get the equation in standard form of the parabola:

y = (-15/4)x^2 + bx + (11/4)

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Answer:

x=3

y=-1

Step-by-step explanation:

Rate me brainliest pls

Answer:

24

Step-by-step explanation:

12/2=6

6*4=24

Answer:

Beth will use 24 grapes.

Step-by-step explanation:

Not going to lie I forgot how i got my answer but ik its good.

Answer:

I attached a pic

Step-by-step explanation:

Hope it helps you!!!

When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Answer:3080”

Step-by-step explanation:

Answer:

X' = (-12,3)

Y' = (-10,5)
Z' = (-9,-2)

Explaination:

Please check image

Based off the x = -4 , I think that means that our x axis is no longer x = 0 but on the x = -4 line

Ex;

if point X is 8 units to the left of x=0, now point X' should be 8 units to the left of x=-4 making point X' = (-12,3)

Answer:

25%

Step-by-step explanation:

We need to check if y=8 and x = -1 are perpendicular or parallel.

The line y=8, is a straight line for which the y-values within it are equal to 8, therefore it is parallel to the x-axis.

The line x=-1, is a straight line for which all the values have the same value of x, which is -1, therefore it is parallel to the y-axis.

The lines are, therefore, perpendicular.

Triangulation is the method of finding the location of an object based on the measurements made from the two other locations. The above statement is true statement.

Triangulation is the division of a face or plane polygon into a series of triangles, usually with the limitation that each side of a triangle is fully shared by two adjacent triangles. In geometry, triangulation is the division of planar objects into triangles, or more broadly, the division of high-dimensional geometric objects into simplifications. Triangulation of a 3D volume involves subdivision into packed tetrahedra that directly measure distances to points. It is a method for finding the location of the object.

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The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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A pole vaulter have to run at 18m/s speed.

According to the statement

The typical pole for pole vaulting is 17 feet long

we use the formula

1/2 m(v)^2 = mgh

Now rearrange the terms

(v)^2 = 2gh

here g = 10 and h = 15 then

substitute the values

(v)^2 = 2*10*15

v = 17.32

So, A pole vaulter have to run at 18m/s speed.

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Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

the quadrant in which the angle θ lies. cosθ<0,tanθ<0 lies in sescond quadrant.

The given information states that

cos⁡�<0cosθ<0 andtan⁡�<0tanθ<0.

From the information that

cos⁡�<0cosθ<0, we know that the cosine function is negative. In the unit circle, the cosine function is negative in the second and third quadrants.

From the information thattan⁡�<0

tanθ<0, we know that the tangent function is negative. The tangent function is negative in the second and fourth quadrants.

Therefore, the angle�θ lies in the second quadrant since it satisfies both conditions:

cos⁡�<0cosθ<0 andtan⁡�<0tanθ<0.

The angle�θ lies in the second quadrant.

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The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

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I don't know if u need both but i'll solve both

2: -(z-3y-3x+z+2y+3x+2y)-x

   -z+3y+3x-z-2y-3x-2y-x

    -2z-y-x

3:    7-a+b-4+3a-2b

     3+2a-b

I hope this helped :)

Answer:

The answer is 4m. I used my graphing calculator and this is how I got it step by step. Look at the pic.

Step-by-step explanation:

The price per can has been lowered by R2, making the standard can cost R7.

A mathematical assertion that establishes the equivalence of two expressions is known as an equation. It is made up of two sides, a left and a right side, separated by the equal sign (=). The equation, which is typically used to determine an unknown variable's value, requires that the values on both sides be equal. Exponents, logarithms, multiplication, division, addition, subtraction, and other mathematical operations can all be used in equations.

given

Let's say that the standard price per can is "x" Rand.

The revised price is (x-2) Rands if the price is decreased by R2.

The issue is that 14 cans are being offered for the customary price of 10 cans. Thus, we can construct the equation:

10x = 14(x-2) (x-2)

After finding x, we obtain:

10x = 14x - 28

-4x = -28

x = 7

The price per can has been lowered by R2, making the standard can cost R7.

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Answer:

it's a trapezium

it's two sides seems parallel

I need to find "S"

32 = s - 19

Add 19 in both sides

32 + 19 = s - 19 + 19

51 = s

Result

s = 51