The sum of two numbers is −53 and the difference between the numbers is −5.

Answer:

ad=DC is your answer.....

3(3x−5)

(3 times 3x)(3 times -5)

9x-15

Since you don't know what x is, you can't simplify it any more than this.

Hey there!

Use the Distributive Property to simplify the expression 3(3x - 5) :

9x - 15 ✅

- Distributive Property :

A(B - C) = AB - BC

- Given expression :

3(3x - 5)

>> Distribute the 3 to the 3x and to the 5 :

3(3x - 5)

= 3*3x - 3*5

Therefore, your answer is 9x - 15 .

Have a good day ;)

Answer:

B

Step-by-step explanation:

...... ..... ..... .....

Answer:

Star Platinum is confused as hell

Step-by-step explanation:

Answer:

#1 Is 7 Students

#2 Is 9 Students

#3 Is 16 Students

#4 is 125 tables

The antiderivative of the sine function is known as the cosine function and is given by the equation: ∫ sin(x) dx = -cos(x) + C. Similarly, the antiderivative of the cosine function is known as the sine function and is given by the equation: ∫ cos(x) dx = sin(x) + C

The integral of sine and cosine are important concepts in mathematics and have applications in fields such as physics, engineering, and statistics.

The integrals of these functions are known as the antiderivatives of sine and cosine, and they play a crucial role in finding solutions to various mathematical problems.

Here you can learn more about sin and cos

https://brainly.com/question/9362302#

#SPJ11

Answer:

what type of work is this?

Answer:

Thursday

Step-by-step explanation:

Since one week is equivalent to 7 days, lets find how to write 2019 days as a combination of full weeks (which will land one again on Monday), plus days:

Notice that 2019 = 2016 + 3 = 288 * 7 + 3

Then 2019 days is the same as 288 weeks plus 3 days.

The 288 weeks from Monday will take us to another Monday, and the added 3 days to a Thursday.

If 4k+3 is a prime number, then the product of all the even integers less than p is congruent modulo p to either 1 or -1.

Let's assume that p=4k+3 is a prime number, and we want to find the product of all even integers less than p. We can write this product as:

2⋅4⋅6⋅...⋅(p-2)

We can rewrite this expression as:

2⋅(2⋅2)⋅(2⋅3)⋅...⋅(2⋅(k-1))⋅(2k)

We can then factor out a 2 from each term and get:

2^k⋅1⋅2⋅3⋅...⋅(k-1)⋅k

Now, let's consider the expression 1⋅2⋅3⋅...⋅(k-1)⋅k. This is the product of all integers from 1 to k, which is equal to k!. We can then apply Wilson's theorem, which states that if p is a prime number, then:

(p-1)! ≡ -1 (mod p)

Since p=4k+3 is a prime number, we can substitute p-1=4k+2 into Wilson's theorem:

(4k+2)! ≡ -1 (mod 4k+3)

We can then rewrite the original expression as:

2^k⋅(1⋅2⋅3⋅...⋅(k-1)⋅k) ≡ 2^k⋅(4k+2)! ≡ 2^k⋅(-1) (mod 4k+3)

Finally, we can simplify this expression by noticing that 2^k is either congruent to 1 or -1 modulo 4k+3. This is because:

2^(2k) ≡ (2^k)^2 ≡ 1 (mod 4k+3)

or

2^(2k) ≡ (2^k)^2 ≡ -1 (mod 4k+3)

Therefore, we can conclude that the product of all even integers less than p is congruent modulo p to either 1 or -1:

2⋅4⋅6⋅...⋅(p-2) ≡ 2^k⋅(4k+2)! ≡ 2^k⋅(-1) or 2^k⋅(1) (mod 4k+3)

For more questions like Integer click the link below:

https://brainly.com/question/490943

#SPJ11

The shaded area is 7.33 square centimeters.

Remember that for an arc defined by an angle θ on a circle of radius R, the area is:

A = (θ/360°)*3.14*R²

In this case the angle is 120°.

Here we just need to take the difference between the area of the arc in the larger circle and the area of the smaller one, then we will get:

Area = (120°/360°)*3.14*( (4cm)² - (3cm)²)

Area = 7.33 cm²

Learn more about circles at:

https://brainly.com/question/1559324

#SPJ1

To find the area of an isosceles trapezoid, we need to know the lengths of the parallel sides and the height (or altitude) of the trapezoid.

In this case, we know that one parallel side is 20 centimeters long and the other parallel side is 32 centimeters long. However, we don't know the height of the trapezoid.

To find the height of the trapezoid, we can draw a line perpendicular to the parallel sides, creating two right triangles.

The height of the trapezoid is the hypotenuse of one of these right triangles, and we can use the Pythagorean theorem to find its length.

The legs of the right triangle are:

- Half of the difference between the parallel sides: (32 - 20) / 2 = 6

- The height of the trapezoid (which we'll call h)

Using the Pythagorean theorem, we can write:

h^2 = 6^2 + x^2

where x is the length of the height of the trapezoid.

Simplifying, we get:

h^2 = 36 + x^2

We still don't know the value of x, but we do know that the height of the trapezoid is perpendicular to the bases, so it forms a rectangle with the shorter base. Therefore, the height is also the length of the two sides of a right triangle with a hypotenuse of 20 (half of the shorter base).

Using the Pythagorean theorem again, we can write:

h^2 + 6^2 = 20^2

Simplifying, we get:

h^2 = 400 - 36

h^2 = 364

h ≈ 19.06

Now that we know the height of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (base1 + base2) / 2 x height

Plugging in the values we know, we get:

Area = (20 + 32) / 2 x 19.06

Area ≈ 526.24 square centimeters

Therefore, the area of the isosceles trapezoid is approximately 526.24 square centimeters.

Answer:

260

Step-by-step explanation:

To find the area of an isosceles trapezoid, you need to know the lengths of the parallel sides (called bases) and the height (the perpendicular distance between the bases). The formula for the area of an isosceles trapezoid is: A = (1/2) * (a + b) * h, where A is the area, a and b are the lengths of the bases, and h is the height12

In your message, you have given the lengths of the bases as 20 cm and 32 cm, but you have not given the height. You need to measure or know the height to find the area. If you have the height, you can plug it into the formula and calculate the area. For example, if the height is 10 cm, then:

A = (1/2) * (a + b) * h A = (1/2) * (20 + 32) * 10 A = (1/2) * 52 * 10 A = 26 * 10 A = 260 cm^2

The area of the isosceles trapezoid is 260 square centimeters

your z-score is approximately 0.385.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find your z-score, we can use the formula:

z = (x - μ) / σ

where:

- x is your individual score (562),

- μ is the mean of the distribution (518), and

- σ is the standard deviation of the distribution (114).

Plugging in the values:

z = (562 - 518) / 114

Calculating:

z = 44 / 114

Simplifying:

z ≈ 0.385

Therefore, your z-score is approximately 0.385.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ4

Answer:

11.9

Step-by-step explanation:

Pythagorean theorem:

\(a^2+b^2 = c^2\). where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)

\(22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9\)

Answer:

11.9

Step-by-step explanation:

This is a right triangle so I can solve this with the pythagorean theorem.

Set up the equation 22²+x²=25² x would be the third side

Simplify, 484+x²=625

Subtract from both sides 484-484+x²=625-484

x²=141

Find the square root of 141 to get x

The square root of 141 is approximately 11.9 rounded to the nearest tenth.

We are given a table of temperatures that are being maintained at different times in a greenhouse . We are to consider that the temperatures increase at a constant rate and we are asked to create a graph for this.

Answer:

n=4750

n+ 4250=9000

-4250= 4250

n= 4750

Answer:

Step-by-step explanation:

idea

Audrey's dog is now 3 feet and 8.04 inches tall (since 0.67 feet is equal to 8.04 inches).

First, we need to convert the height of Audrey's dog from inches to feet. Since 1 foot equals 12 inches, we can divide the height of the dog in inches by 12 to get its height in feet:

= 40 inches / 12 inches per foot

= 3.33 feet

Next, we will convert 4 inches that the dog has grown this year to its original height:

= 4 inches / 12 inches per foot

= 0.33 feet.

Total current height is :

= 3.33 feet + 0.33 feet.

= 3.66 feet.

Complete question "Audrey's dog is 40 inches tall. it grows 4 inches this year. How tall is her dog in feet and inches?"

Read more about measurement

brainly.com/question/27122947

#SPJ1

Answer:

10% of the beads are blue

Step-by-step explanation:

Well, let's add 5 and 45 to get the total amount of beads.

5 + 45 = 50 total beads.

Now, since 50 is the 100%, let's find how much percentage of the beads are blue.

50 divided by 5 = 10%

10% of the beads are blue

Answer:

10 percentage of the beads on Rachel's necklace are blue

Step-by-step explanation:

Given the following:

we were told that Rachel has a new beaded necklace.

The necklace has \(5\) blue beads

It also has \(45\) white beads.



we are to find the percentage of beads on Rachel's necklace that are blue.

first we find the total beads.

Total beads = \(5+45=50\)

recall blue beads = \(5\)

Therefore, the percentage of blue beads is: ?

the number of blue beads divide by the total number of beads multiply by 100

Percentage of blue beads = \(\frac{5}{50} ~x~100\)

\(=0.1~x~100\) which equals 10%

Therefore the percentage of the beads on Rachel's necklace that are blue is 10%.

Answer:

y=1/5x+7

Step-by-step explanation:

i hope this helps :)

The number of players that can be taken to the tournament is 12 players.

The equation that can be used to represent the total amount spent by the soccer team is:

Total amount spent = cost of rented bus + (cost per meal x total number of players)

$1530.50 = $1164.50 + $30.50x

Where: x = total number of player

In order to determine the value of x, the following steps would be taken:

Combine similar terms

$1530.50 - $1164.50 = $30.50x

$366 = $30.50x

Divide both sides of the equation by 30.50

x = $366 / $30.50

x = 12 players

A similar question was answered here: https://brainly.com/question/22358515

Answer:

Step-by-step explanation:

y = -2/3x + 4

y = 2/3x

2/3x = -2/3x + 4

4/3x = 4

4x = 12

x = 3

y = 2/3(3)

y = 2

(3,2) one solution

option 3

Answer:

x=3 , x=-6

Step-by-step explanation:

F(x)= (x-5) / (x² + 3x -18)

vertical asymptote: set denominator to 0 and solve x

x² + 3x -18 = (x+6) (x-3) = 0

x = 3  or x = -6

Answer:

D. 16

Step-by-step explanation:

\( GH^2 = GF \times GE\)

\( 12^2 = 9 \times (9+x - 2)\)

\( 144= 9 \times (7+x)\)

\( \frac{144}{9}= (7+x)\)

\( 16= 7+x \)

\( 16-7=x \)

\( 9=x \)

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

Answer:

D.16

Step-by-step explanation:

GE × GF = GH^2

9 × (9 + x - 2 ) = 12^2

63 + 9x = 144

9x = 81

x = 9

so, GE = 9 + x - 2

= 7 + 9

= 16

Answer:

yes

Step-by-step explanation:

as you can see if you count them they are

Answer:

The shape on the very left of the picture is not a quadrilateral. However, the three other shapes are quadrilaterals.

Step-by-step explanation:

A shape is a quadrilateral if it has four sides and four angles. The shape on the left has five sides and five angles, therefore, not a quadrilateral.

Two triangles can be congruent if they have the same three angles, according to the Angle-Angle-Angle (AAA) congruence rule.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. In other words, if you were to superimpose one triangle on top of the other, the two triangles would fit perfectly together, with all of the sides and angles being equal in measure.

Technically, two triangles can be congruent if they have the same three angles, according to the Angle-Angle-Angle (AAA) congruence rule. However, it is important to note that the AAA congruence rule is not sufficient on its own to prove that two triangles are congruent. This is because two triangles can have the same three angles but still be different in size and shape.

In order to prove congruence, it is necessary to use one of the other congruence rules, such as the Side-Side-Side (SSS) congruence rule, the Side-Angle-Side (SAS) congruence rule, or the Angle-Side-Angle (ASA) congruence rule.

Hence, two triangles can be congruent if they have the same three angles, according to the Angle-Angle-Angle (AAA) congruence rule.

To learn more about the congruence rule of triangles, visit:

https://brainly.com/question/2938476

#SPJ4

Answer:add all the numbers together then divide the answer by 10

Step-by-step explanation:

Answer:

range=8, mode=1  Median=3 mean=4

Step-by-step explanation:

range= subtract largest from smallest

mode= most frequent

median= middle in an ordered data set

Mean= add them all up and divide by how many you addded up

Answer:

Range : 8

Mode : 1

MAD : N/A

Median : 3

IQR : N/A

Mean : 4

Step-by-step explanation:

Finding Range:

To find range within a set of numbers, you have to find the smallest number, which in this case is 1. And the biggest number, being 9. Then subtract the biggest number by the smallest.

9 - 1

8 is our range.

Finding Mode:

Finding Mode is finding the most common (or repeated) number within the set.

1 , 1 , 3 , 6 , 9

One appears two times unlike all the other numbers appearing once, therefore having 1 as our mode.

Finding MAD :

I have never heard of this term so I wouldn't want to cheat or give you a wrong answer.

Finding Median :

Median is simply finding the number in the middle of the number set.

1 , 1 , 3 , 6 , 9

3 is in the middle of the set, making 3 our median.

Finding IQR :

Like MAD, I have never heard of this term so I wouldn't want to cheat or give you a wrong answer.

Finding Mean :

Mean is adding all the numbers together, then dividing that final value by the amount of numbers there are.

1 + 1 + 3 + 6 + 9

20

There are five numbers within the set.

20 / 5

4

4 is our mean.

Answer:

The answer is C

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

-4^2-4(7)(-8) = 240

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

To learn more about mean from the given link:

brainly.com/question/31101410

#SPJ1

Answer:

Step-by-step explanation:

No it is not

y = 13x ,y = x - 2 and y = 2x + 11 represents a straight line which is proportional to x i.e. a linear function .

The proportional relation equation is y = kx .

The letters y and x are the variables, which can change, and the letter k is the constant of proportionality.

According to the question ,

Given: y = 13x

since y ∝ x,

Therefore the equation is said to be proportional .

Given: y = x²

Since the term y is proportional to the square of square ,so we can't say say that the equation is proportional .

Given: y = x - 2

Since ,y is in the form of the equation y = mx + c and y is proportional to x as well ,therefore we say that x is proportional to x .

Given : y = 2x + 11

Since y is in the form of y = mx + c and y is proportional to x

As the given expression represents a straight line , so its proportional to x .

Hence, all the given expressions are proportional to x except the second option which is proportional to square of x and is not forming a linear equation that is a straight line.

Learn more about proportionality of linear equations by: https://brainly.com/question/2143065

#SPJ1

With a total of 21 wheels available at the bike shop, the owner plans to build tricycles, bicycles, and potentially unicycles. The bike shop will build 2 unicycles, 4 tricycles, and 4 bicycles with the available 21 wheels.

Let's assume the number of unicycles to be "x". Since each unicycle requires a single wheel, "x" unicycles will also require "x" wheels. The remaining wheels can be used to build tricycles and bicycles.

Now, the total number of tricycles and bicycles combined is twice the number of unicycles, which can be expressed as 2x. As each tricycle requires three wheels and each bicycle requires two wheels, the total number of wheels needed for tricycles and bicycles is 3*(2x) + 2*(2x) = 10x.

Since there are a total of 21 wheels available, we can set up the equation: 10x = 21. Solving for "x", we find x = 2.1.

However, since the number of bikes cannot be a decimal, we round down to the nearest whole number. Therefore, 2 unicycles will be built. Substituting this value back into 2x, we get 2*(2) = 4 tricycles and bicycles combined.

In conclusion, the bike shop will build 2 unicycles, 4 tricycles, and 4 bicycles with the available 21 wheels.

Learn more about whole number here:

https://brainly.com/question/29766862

#SPJ11