What is the range for the third size of the triangle 13,24?

Answer:

Positive.  

Step-by-step explanation:

Negative times negative is positive.  The other factor of the equation is positive.  Multiply that and the sign is positive.

The one way the histogram will differ is C) The y-axis units will differ.

What is histogram?

A grouped frequency distribution with continuous classes is graphically represented by a histogram. It is an area diagram, and its size is proportional to the frequencies in the associated classes. Due to the base's coverage of the spaces between class boundaries, all of the rectangles in such representations are contiguous.

Given that you construct a histogram and a relative frequency histogram corresponding to a particular frequency table.

Histogram is representing actual frequency for a class interval in numbers.

But relative histogram gives the ratio of actual frequency to the sum of frequencies.

Thus histogram gives actual while relative histogram gives ratio.

Histogram figures may be greater than 1, but relative histogram figures are always less than 1.

Hence the correct option is C) The y-axis units will differ.

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Answer:

225 = (1,3,5,9,15,25,45,75,85,225.)

Step-by-step explanation:

Factors of 225

225 = (1, 3 ,5, 9, 15, 25, 45, 75, 85, 225).

Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

What is a factor?

Factors are the numbers that can divide a number exactly.  Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Some of the important properties of factors of a number are listed below:

Now,

Using multiplication method

We can multiply only odd numbers for 225 because 225 is odd. So,

1*225=225

3*75=225

5*45=225

9*25=225

15*15=225

As multiplication of these numbers is equal to 225

Hence,

            Factors of 225 are (1, 3 ,5, 9, 15, 25, 45, 75, 225).

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This two options I am going to include in my explanation

a) There is a unique solution.

d) The system is independent and consistent.

The given system of equations can be represented as a matrix equation [A|B] where A is the coefficient matrix and B is the constant matrix.

|1 1 1 | 0 |

|2 -1 3 | 0 |

|3 2 -1 | 0 |

The above system of equation can be written as AX=B, where X=[x,y,z] and A,B are as above.

We can check the rank of A and [A|B], if they are equal then the system is consistent and has a unique solution.

Using Gaussian elimination method, it can be observed that the rank of A and [A|B] both are 3, which means the system is consistent and has a unique solution.

Thus the given system of equations is consistent and has a unique solution.

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The Complete Question  is -

Consider the following system of equations:

x + y + z = 0

2x - y + 3z = 0

3x + 2y - z = 0

Which of the following statements are true about this system of equations?

a) There is a unique solution.

b) The solution is x = 0, y = 0, and z = 0.

c) The system intersects at one point.

d) The system is independent and consistent.

Please check all of the box that apply.

When the inventory falls to approximately 1,832.91 items, a new order should be placed to ensure proper inventory is maintained for being the store operational for 156 business days.

To calculate the reorder point, we need to consider the demand during lead time as well.
First, we need to find the average daily demand:
Annual demand = 18,575 items
Average daily demand = Annual demand / Operational days
= 18,575 / 156
= 119.02 items per day
Next, we need to calculate the demand during lead time:
Lead time demand = Average daily demand x Lead time
= 119.02 x 14
= 1,666.28 items
Now, we can calculate the reorder point:
Reorder point = Lead time demand + Safety stock
We don't have information on the safety stock, so let's assume it's 10% of the lead time demand:
Safety stock = 10% x Lead time demand
= 10% x 1,666.28
= 166.63 items
Reorder point = 1,666.28 + 166.63
= 1,832.91
Therefore, when the inventory falls to approximately 1,832.91 items, a new order should be placed to ensure proper inventory is maintained.

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Answer:

chips costs 8.25

Step-by-step explanation:

16.50 divided by 2 is 8.25

The optimal clutch size is 1.

a)The survivorship of an offspring, S, decreases with the clutch size, C.

Therefore, the formula is given as:

S = 0.5 - 0.1C

We need to find the optimal clutch size for this bird species.

We can do this by differentiating S with respect to C, and equating the result to zero.

That is:S = 0.5 - 0.1C => dS/dC = -0.1

Equating dS/dC to zero gives:-0.1 = 0 => C = 0

This implies that there is no optimal clutch size for this species.

However, since C represents clutch size, it must be a positive integer.

Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is

1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.

We can differentiate S with respect to C, and equate the result to zero.

That is:S = a - bC => dS/dC = -b

Equating dS/dC to zero gives:-b = 0 => C = 0

This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.

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Answer:

D

Step-by-step explanation:

please give brainliest!

for example -3 + 6 is 3. --positive sign

-9+8 is -1 --negative sign

Answer:

wiat

Step-by-step explanation:

Answer:

1. 5.2 units.

2. 66.63

( Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63. )

Answer:

(x + 3)

Step-by-step explanation:

a = x^2+ 8x + 15

Factor

a = (x + 5)(x + 3)

if (x + 5) is the length

then (x + 3) is the width

Answer:

Step-by-step explanation:

first the answer is most definenetly 130 and 160 and i dont think its 30 so 50.

Answer:

2x +3x =7-13=4+8

Step-by-step explanation:

5x= -6= 12

Answer: Addition.

Step-by-step explanation:

The word descended gives you a hint to use subtraction.

The inequality is 12x + 18y ≥ 500 and , where x is the number of hours mowing lawns and y is the number of hours shoveling field

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of hours mowing lawns be x

Let the number of hours shoveling field be y

And , the amount earned per hour for mowing lawns = $ 12

So , for x hours , the amount earned = 12x

The amount earned per hour for shoveling = $ 18

And , for y hours , the amount earned = 18y

The minimum amount Liam should earn = $ 500

And , the inequality is

12x + 18y ≥ 500

Therefore , the value of A is 12x + 18y ≥ 500

Hence , the inequality equation is 12x + 18y ≥ 500

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Answer: 5/10 +5/10 =10/10 =1

Step-by-step explanation: I don't think this requires much explanation. Any number with same numerator and denominator equals 1.

When you get 10/10, the first and second box can be figures that sum up to be 10.

It can be 7 and 3, it can be 6 and 4

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

Answer:

mean: 31.625

range: 31

Step-by-step explanation:

Answer:

31 is the range.

31.625 is the mean.

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------------

Now that we know the definitions, we can solve this.

21, 24, 26, 28, 32, 34, 36, 52

The largest number is 52; the smallest number is 21.

52 - 21 = 31

31 is the range.

-------------------------------------------------------------------------------------------------------------

21 + 24 + 26 + 28 + 32 + 34 + 36 + 52 = 253

There are 8 numbers in this data set.

253 ÷ 8 = 31.625

31.625 is the mean.

The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  \(\frac{1}{10}(8000) = 800\)

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = \(\frac{1}{10}(9000) = 900\)

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = \(\frac{1}{10}(4000) = 400\)

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = \(\frac{1}{10}(7000) = 700\)

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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In order to find how much stronger was the first gust than the second, we just need to subtract their values.

So we have that:

So the strongest wind gust was 4 miles per hour stronger than the second strongest wind gust.

Answer:

2.65 cm

Step-by-step explanation:

Applied Formula :

Solving :

Using trigonometric relations we can write a system of equations, and solving that system we will get:

x = 3*√5

We can view this as two right triangles, one smaller (in the right) and other larger, made of the two small triangles.

Also notice that the vertice in the right side is common for the two triangles, then we can use trigonometric relations that call for that angle.

If that angle is θ, we can see that x is the hypotenuse and 5 is the adjacent cathetus, then we can write:

cos( θ) = 5/x

For the larger triangle, the hypotenuse is 4 + 5 = 9, and the adjacent cathetus is x, then we can write:

cos(θ) = x/9

So we have the system of equations:

cos( θ) = 5/x

cos(θ) = x/9

Using substitution we can write:

5/x = x/9

If we multiply both sides by x we get:

5 = x^2/9

Now we can multiply both sides by 9 to get:

5*9 = x^2

√(5*9) = x^2

3√5 = x

That is the value expressed as a simplified radical.

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The profit-maximizing level of output derived in part e is validated using the MC and MR rule. And by following the steps below and performing the necessary calculations, the answers to parts a) to f) can be obtained for the given revenue and cost functions.

a) Using the revenue function \(TR = 100Q - 3Q^2\), Total Revenue (R) can be calculated by substituting different values of Q. Average Revenue (AR) is obtained by dividing Total Revenue by the corresponding quantity (Q). Marginal Revenue (MR) is calculated by finding the change in Total Revenue with respect to a one-unit change in quantity (Q).

b) With the cost function \(TC = 100 + 10Q + 2Q^2\), Total Cost (C) can be calculated by substituting different values of Q. Average Cost (AC) is obtained by dividing Total Cost by the corresponding quantity (Q). Marginal Cost (MC) is calculated by finding the change in Total Cost with respect to a one-unit change in quantity (Q).

c) The profit function (n) is constructed by subtracting Total Cost (C) from Total Revenue (R), resulting in \(n = R - C\).

d) Total profit is calculated by substituting different values of Q into the profit function (n) and calculating the difference between Total Revenue and Total Cost.

e) The output level at which the firm maximizes profits or minimizes losses can be determined by identifying the quantity (Q) where the difference between Total Revenue and Total Cost is maximized.

f) The profit-maximizing level of output derived in part e can be validated using the MC and MR rule, which states that profit is maximized when Marginal Cost (MC) is equal to Marginal Revenue (MR) at the chosen output level (Q). By comparing the calculated MC and MR values at the profit-maximizing output level, we can validate if the rule holds true.

By following these steps and performing the necessary calculations, the answers to parts a) to f) can be obtained for the given revenue and cost functions.

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Answer:

1000

Step-by-step explanation:

just trust me <3

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