Which matrix is equal to P + Q?

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Answer:

5+a/a-1

Step-by-step explanation:

3+a+2/a+2-3=5+a/a-1

Answer:

96 or 108

Step-by-step explanatio

Answer:

\(f(-3)=-27\)

Step-by-step explanation:

So we have the function:

\(f(x)=-4x^2+9\)

And we want to find f(-3).

So, let's substitute -3 for x. Thus:

\(f(-3)=-4(-3)^2+9\)

Square. -3 squared is positive 9:

\(f(-3)=-4(9)+9\)

Multiply:

\(f(-3)=-36+9\)

Add:

\(f(-3)=-27\)

And we're done!

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

2.05

Step-by-step explanation:

The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.

To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.

Let's calculate the length of each side:

Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.

Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.

Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.

Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.

Now, let's sum up the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 7 + 7 + 7 + 7

Perimeter = 28 units

Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.

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Answer:

Step-by-step explanation:

a = 10/2 = 5

b = \(5\sqrt{3}\)

For the Special Triangles

Answer:

what's that

Step-by-step explanation:

We cannot find the lengths of sides a and c or the measure of angle B in this case.

Trigοnοmetry is a branch οf mathematics that deals with the relatiοnships between the sides and angles οf triangles.

We can use the Law οf Sines tο find the lengths οf sides a and c and the measure οf angle B in the triangle given the side length b = 9 and the angle A = 73°. The Law οf Sines states that:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.

We are given b = 9 and A = 73°. Let's find B first:

a/sin(73°) = 9/sin(B)

sin(B) = (9 sin(73°))/a

B = arcsin((9 sin(73°))/a)

Now, we can find a and c using the Law of Sines:

a/sin(73°) = 9/sin(B)

a = (9 sin(73°))/sin(B)

c/sin(C) = 9/sin(B)

c = (9 sin(C))/sin(B)

Note that we still need to find sin(C) to calculate c. To do this, we use the fact that the sum of angles in a triangle is 180°:

C = 180° - A - B

C = 180° - 73° - B

C = 107° - B

sin(C) = sin(107° - B)

Now we can substitute into the expressions we found for a and c to get:

a = (9 sin(73°))/sin(B)

c = (9 sin(107° - B))/sin(B)

We can solve for B by using the fact that the sum of the angles in a triangle is 180°:

A + B + C = 180°

73° + B + (107° - B) = 180°

B = 180° - 73° - 107°

B = 180° - 180°

B = 0°

This is not a valid solution for B, which means that the triangle cannot exist with the given values of b and A.

Hence, we cannot find the lengths of sides a and c or the measure of angle B in this case.

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The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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We determined that normal distribution should be used to construct a confidence interval for these two statistical data.

In statistics, the t-distribution is a system of describing a set of data where most of the data fall close to the mean value and the remaining data adjust the tail on both sides.

The normal distribution is one of the systems of describing a set of data that implies data close to the mean value are more probable to occurrence than the other data.

In the statistics, we use t- distribution when the number of samples is less than 30 and the population standard deviation is unknown to us.

we use normal distribution when the sample size is greater than 30 and the population standard deviation is known.

We are given two set of statistical data and for both case population standard deviation is given, and the size of sample is greater than 30.

hence, we will use normal distribution for both cases.

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Answer:

breath of rectangle is 49cm.

The function of the amount of money is an illustration of an exponential function

The initial balance of the investment is $700, and the rate is 83.53%

The function of the amount of money in the investment is given as:

\(A(t) = 700(0.8353)^t\)

The above function is an exponential function, and an exponential function is represented as:

\(A(t) = ab^t\)

Where:

a represents the initial value, and b represents the rate.

By comparison, we have:

a = 700

b = 0.8353 = 83.53%

Hence, the initial balance of the investment is $700, and the rate is 83.53%

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As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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The area of triangle DEF, in square units, is given as follows:

4.08 units squared.

The area of a triangle is given by half the multiplication of it's base by it's height, as follows:

Area = 0.5 x base x height.

We consider the base as the segment DE, hence it's length is given by the distance between these two points, obtained as follows:

\(b = \sqrt{(8 - 3)^2 + (-6 - (-5))^2}\)

\(b = \sqrt{26}\)

b = 5.1 units.

The midpoint of the base is given as follows:

(5.5, -5.5).

As it is obtained with the mean of the coordinates.

The height is the distance between the midpoint of the base and the other vertex, hence:

\(h = \sqrt{(5.5 - 4)^2 + (-5.5 - (-5))^2}\)

h = 1.6 units.

Hence the area of the triangle is obtained as follows:

Area = 0.5 x 5.1 x 1.6 = 4.08 units squared.

The problem asks for the area of the triangle, as shown in the image given at the end of the answer.

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Answer:

-3/7

Step-by-step explanation:

Ty for points

Complete question :

A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:

Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

Leg Press (reps)|40-yard Dash (s)

15 |5.2

18 |6.3

8 |6.8

30 |8.2

26 |8.0

12 |5.3

21 |5.9

Answer:

ŷ = 0.1073X + 4.5365

6.9

Step-by-step explanation:

Leg Press (reps)X:

15

18

8

30

26

12

21

Y:

5.2

6.3

6.8

8.2

8.0

5.3

5.9

Using a regression calculator :

The equation of line of best fit is :

ŷ = 0.1073X + 4.5365

Slope or gradient = 0.1073

Intercept = 4.5365

X = independent or predictor variable (leg press)

Y = predicted variable (40 yard dash)

B)

X = 22

Y = 0.1073(22) + 4.5365

Y = 6.8971

Y = 6.9

Answer:

El polinomio final es:

\(=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)\)

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

\((\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=\)

Sumemos estos terminos:

\(=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=\)

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

\(=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)\)

Espero te haya servido.

El resultado de simplificar  \(\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x\) es

\((\frac{1}{3}y^2+\frac{2}{3}xy-3)x\)

El polinomio que queremos simplificar es

\(\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x\)

primero, recopilamos términos similares

\(\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\)

luego simplificamos los términos similares. Es decir

Para el \(xy^2\) términos:

\(\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2\)

y para el \(x\) términos:

\(2x-5x=(2-5)x\\=(-3)x=-3x\)

la \(x^2y\) términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

\(\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x\)

Incluso podemos factorizar la respuesta final para obtener

\((\frac{1}{3}y^2+\frac{2}{3}xy-3)x\)

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The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.

The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.

Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.

In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.

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Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

if it's for evaluate your answer should be 3612x

The value of the square root of 7 is,

⇒ √7 = 2.645

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

WE have to given that;

To find the value of the square root of 7 .

Since, the square root of 7 is,

⇒ √ 7

⇒ 2.645

Thus, The value of the square root of 7 is,

⇒ √7 = 2.645

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Answer:

9. By every 10 seconds, the meters traveled increase by a constant of 8.5 meters.

10. (1,2), (2,4), (5,10), (8,16)

Step-by-step explanation:

For question 9, here is an example. You can find the constant of proportionality by dividing 85 by 10, which is 8.5. So every 10 seconds, the distance traveled in meters by the object will have multiplied by 8.5. You can also do 170 divided by 20, which is also 8.5 thus verifying our answer. Hope this helps you, sorry I couldn’t explain it better.

The plant grows 20 inches in 2 weeks and plant b grows 16 inches

Answer:

a) 25º, 75º, 80º

Step-by-step explanation:

A triangle's angles add up to 180º only the first set adds up to 180º. 25º+75º+80º = 180 º