Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.


square feet

Answer:

A. 78 + 10 + 23 + 52

Step-by-step explanation:

We can solve the problem by using the commutative property: "in an addition, changing the order of the operands does not change the result.

The original addition is 52 + 23 + 10 + 78. We see that option A is exactly the same addition, only the order of the numbers has been changed:

78 + 10 + 23 + 52

Therefore, the two additions are equivalent.

To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, evaluate the function at the boundary of the disk.

To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, we can use the method of level curves and gradients.

In this case, since the function f(x, y) = x + y + 4 is linear, it does not have any critical points. Therefore, the maximum and minimum values of the function on the circular disk x^2 + y^2 ≤ 1 are obtained by evaluating the function at the boundary of the disk.

When x^2 + y^2 = 1, the function value is largest at the point (x, y) = (-1, 0), giving a maximum value of -1 + 0 + 4 = 3. The function value is smallest at the point (x, y) = (1, 0), giving a minimum value of 1 + 0 + 4 = 5.

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The function y = f(-x) has the points (-3,-6).

When we substitute -x into a function f(x) to get f(-x), we are essentially reflecting the graph of f(x) across the y-axis. This is because replacing x with -x negates the x-values, effectively flipping the function horizontally.

Given that (3, 6) is a point on the graph of y = f(x), if we substitute -3 for x in f(-x), we get:

[tex]\[ f(-(-3)) = f(3) \][/tex]

So, the corresponding point on the graph of [tex]\(y = f(-x)\)[/tex] is [tex]\((3, 6)\)[/tex] since the function values stay the same when we reflect across the y-axis. Therefore, the point [tex](-3, -6)\)[/tex] is on the graph of [tex]\(y = f(-x)\)[/tex].

Answer:

[tex]\frac{35}{38}[/tex] yards of fabric is left over.

Step-by-step explanation:

Hasan has the total length of fabric = [tex]18\frac{3}{4}[/tex] yards

                                                           =  [tex]\frac{75}{4}[/tex] yards

Hasan plans to make as many pillow cases as he can.

To make one pillow case the fabric will be needed =  [tex]3\frac{1}{6}[/tex] yards =  [tex]\frac{19}{6}[/tex] yards

Hasan can make the total number of pillowcases = [tex]\frac{\frac{75}{4} }{\frac{19}{6} }[/tex]

=  [tex]\frac{75}{4}[/tex] ×  [tex]\frac{6}{19}[/tex]

=  [tex]\frac{75}{2}[/tex] ×  [tex]\frac{3}{19}[/tex]

=  [tex]\frac{225}{38}[/tex]

=  [tex]5\frac{35}{38}[/tex]

He can make 5 pillow cases and  [tex]\frac{35}{38}[/tex] yards of fabric would be left over.

The 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet

The 80th percentile of the distribution of the average of 49 fly balls can be found using the formula for the sample mean and the Z-score. Given that the mean distance of fly balls hit is 250 feet, the standard deviation is 50 feet, and the sample size is 49, we can calculate the 80th percentile as follows:

Calculate the Z-score corresponding to the 80th percentile, which is 0.842

Use the Z-score formula to find the sample mean:

Sample Mean=Population Mean + Z ×  Standard Deviation​/ Sample Size

​Sample Mean=250+0.842× 50/ √49

Sample Mean=250+0.842×5

Sample Mean=250+4.2

Sample Mean=254.2

Therefore, the 80th percentile of the distribution of the average of 49 fly balls is approximately 254.2 feet

Complete question:

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. Find the 80th percentile of the distribution of the average of 49 fly balls.

Hello There!

It would me m > n.

As you can see, M is further along on the number line than n therefore meaning it has a higher value.

Hope This Helps You!

Good Luck :)

Answer:

The first pan has to be divided into 4 equal parts.

The second pan has to be divided into 3 equal parts.

Step-by-step explanation:

The first step to solve this problem is finding the least common multiple of 6 and 8.

The multiples of 6 are {0,6,12,18,24,30,36,42,...}

The multiples of 8 are {0,8,16,24,32,...}

The least common multiple of 6 and 8 is 24.

So both kinds of pasta have to be baked so after the second step they have 24 equal parts.

So:

First pan:

The first pan was sliced into 6 equal parts.

24/6 = 4.

So each of the 6 parts have to be divided into 4 equal parts.

After the second step, they have 6*4 = 24 equal parts.

Second pan:

The second pan was sliced into 8 equal parts

24/8 = 3

So each of the 8 parts have to be divided into 3 equal parts.

After the second step, they have 8*3 = 24 equal parts.

The type of reasoning demonstrated in the scenario is deductive reasoning.

Deductive reasoning starts with a general premise or statement and applies it to a specific case to reach a logical conclusion. In this case, the premise is that white chickens lay white eggs and colored chickens lay brown eggs. Therefore, when encountering a white chicken, the conclusion is drawn that it will lay white eggs.

To understand deductive reasoning, let's break it down:

Premise:

White chickens lay white eggs.

Colored chickens lay brown eggs.

Observation:

Encounter a white chicken.

Conclusion:

Therefore, the white chicken will lay white eggs.

This conclusion is based on the general premise about the egg-laying behavior of white and colored chickens. Deductive reasoning allows us to draw specific conclusions from general principles, assuming the premises are true.

Division is one of the four fundamental arithmetic operations. The number of tickets purchased is 6.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given the following details as shown below.

Let M represent the number of tickets purchased. Therefore, we can write,

Total charge = cost of each ticket x M + convenience charge x M + processing fee

220.70 = 32.50M + 3.30M + 5.90

Subtract 5.90 on both sides

220.70 - 5.90 = 32.50M + 3.30M

214.8 = 35.8M

Divide both sides by 35.8

6 = M
This means the number of tickets purchased is 6.

Thus, the number of tickets purchased is 6.

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a1=1/2d

r=1/2

sup it needs twenty character apparently

The [tex]a_{1} =\frac{d}{2}[/tex]  and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.

Geometric sequence a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

i.e. [tex]a+ar+ar^2+ar^3+......[/tex]

Here, [tex]a=[/tex] First term and [tex]r=[/tex] common ratio

Next term formula, [tex]a_{n} =a_{1}\ *\ r^{n-1}[/tex]

We have,

[tex]d=[/tex] distance to her destination,

Now,

According to the question;

Zeno has to travel half that distance i.e. [tex]\frac{d}{2}[/tex],

Then half of half of distance i.e. [tex]\frac{d}{4}[/tex],

Then half of [tex]\frac{d}{4}[/tex] distance i.e. [tex]\frac{d}{8}[/tex]  and so on.

So,

Here, we have,

[tex]\frac{d}{2},\frac{d}{4},\frac{d}{8}, .........[/tex]

So,

We have Geometric Sequence,

Here,

[tex]a_{1} =\frac{d}{2}[/tex] and

Now,

[tex]r=[/tex] common ratio,

[tex]r=\frac{a_{2} }{a_{1} }[/tex]

[tex]r=\frac{\frac{d}{4} }{\frac{d}{2} }[/tex]

We get,

[tex]r=\frac{1 }{2 }[/tex]

So, These are [tex]a_{1} =\frac{d}{2}[/tex]  and [tex]r=\frac{1 }{2 }[/tex] of the Geometric sequence.

Hence, we can say that he [tex]a_{1} =\frac{d}{2}[/tex]  and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.

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The original price of the ticket is $42.

Let the original cost of the ticket be represented by x

Based on the information given, the equation to solve the question will be:

x + (7% × x) = $44.94

x + (7/100 × x) = $44.94

x + (0.07 × x) = $44.94

x + 0.07x = $44.94

1.07x = $44.94

Divide both side by 1.07

1.07x/1.07 = $44.94/1.07

x = $42

Therefore, the original price of the ticket is $42.

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The original price of the ticket was $42.

To find the original price of the ticket, we need to subtract the extra fees from the total amount Charlotte paid.

Let x be the original price of the ticket.

The extra fees would be 7% of x, which is 0.07x. Since the total paid is $44.94, we can set up the equation:

x + 0.07x = 44.94

Combining like terms on the left side gives us 1.07x = 44.94.

Next, we divide both sides by 1.07 to isolate x:

x = 44.94 / 1.07 = $42

Therefore, the original price of the ticket was $42.

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Answer:

Matrix addition is commutative.

Step-by-step explanation:

We know that if there are two matrices X and Y of same order(i.e. same number of the rows and columns) then the addition between the two matrix is commutative i.e.

X+Y=Y+X.

While in case of multiplication of two matrices commutativity may or may not hold true.

Each point on the coordinate plane has an address, called the coordinates.

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis.

The coordinate plane is a two-dimension surface formed by two number lines.

A coordinate plane, also known as a rectangular coordinate plane grid, is a two-dimensional plane formed by the intersection of a vertical line called the Y-axis and a horizontal line called the X-axis.

One number line is horizontal and is called the x-axis.

The other number line is vertical number line and is called the y-axis.

The two axes meet at a point called the origin.

Hence, Each point on the coordinate plane has an address, called the coordinates.

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1. Add Deposits

2. Bank Errors

3. Outstanding Checks

4. Check Register Reconciliation

5. Interest Earned

6. Check Register Errors

7. Compare Both Statements

This problem can be directly solved by using a conversion factor. Simple research will tell us that 1 gallon contains about 3.78 Liter. Therefore the volume in Liter is:

volume = 75 gallons * (3.78 Liter / gallon)

volume = 283.5 Liters