what is (8,-2) after 90 degree counterclockwise rotation about the origin​

The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.

acc to our question-

hence,The 30% of the students withdraw, then, the expected number of withdrawals is the 30% of 20 which is 6.

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Answer:

y = -1/4(x-1)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])  From the point given [tex]y_{1}[/tex] = 0 and [tex]x_{1}[/tex] = 1

m = slope -1/4  Plug these in and get

y - 0 = -1/4(x - 1)       y-0 is just y

The given line is positive.

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Given that,

The line is crossing the origin and is in the 1 quadrant and 3 quadrant.

This means, the graph of the line starts at the bottom left and goes towards the top right.

If a line has a positive slope, then y always rises when x rises and always falls when x falls (i.e., m > 0). The line's graph thus begins at the bottom left and moves up to the top right.

So, the given line is positive.

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Answer: (3/4c*d*d)

Step-by-step explanation:

First, get rid of the denominator by multiplying the numerator by it.

so d*d*d*4c*.

Then now its 3d/d*d*d*4c, you can eliminate a d from the numerator and denominator, and now it's (3/4c*d*d)

The formula for d is d = v/√48

What is a formula?

In science, a formula is a compact manner of symbolically describing information, such as a mathematical formula or a chemical formula. In physics, the phrase formula refers to the general construct of a connection between given quantities. In mathematics, a formula is an identity that equates one mathematical statement to another, the most significant of which are mathematical theorems. A formula (also known as a well-formed formula) is a logical object that is produced utilizing the symbols and formation rules of a specific logical language. For example, calculating the volume of a sphere necessitates extensive use of integral calculus or its geometrical equivalent, the method of exhaustion.

The equation is given as v= √48d

Hence, the formula for d is, d = v/√48

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$40\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 40 = (500)(\frac{r}{100})(4) \implies 40=20r\implies \cfrac{40}{20}=r\implies \stackrel{\%}{2}=r[/tex]

Answer:

When x = 3, y = 6,

[tex][3(3)- 12]-[(\frac{1}{2}(3)(6)) -10] = (9-12)-(9-10)[/tex]

                                             [tex]= (-3)-(-1)[/tex]

                                             [tex]= -3+1[/tex]

                                             [tex]=-2[/tex]

Answer:

  perimeter = 16 ft

Step-by-step explanation:

You want the perimeter of an isosceles triangle with side length 5 ft and altitude 4 ft.

The side lengths being equal mean the triangle is isosceles. That also means altitude PS bisects the peak angle and segment QR. Once we find the length QS using the Pythagorean theorem, we can double that measure to find QR.

The Pythagorean theorem tells us ...

  QS² +PS² = QP²

  QS² +(4 ft)² = (5 ft)²

  QS² = (25 ft²) -(16 ft²) = 9 ft² . . . . . evaluate squares, subtract 16 ft²

  QS = √(9 ft²) = 3 ft

Now we know the base length is ...

  QR = 2·QS = 2(3 ft) = 6 ft

The perimeter is the sum of the outside edge lengths:

  Perimeter = PQ +QR +RP

  Perimeter = (5 ft) +(6 ft) +(5 ft) = 16 ft

The perimeter of ∆PQR is 16 feet.

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Additional comment

With some practice, you can learn to recognize a 3-4-5 right triangle. That is the triangle used here for each of the right triangles that make up ∆PQR. Once you identify the long side as 4 and the hypotenuse as 5, you know immediately the short side is 3.

The set {3, 4, 5} is called a "Pythagorean triple." Other triples commonly seen in high school problems are {5, 12, 13}, {7, 24, 25}, {8, 15, 17}. Legs of these lengths form a right triangle. Knowing any two (or their ratio) tells you immediately the value of the third. Of course, these triples can be scaled by any factor. (3, 4, 5) scaled by 2 is (6, 8, 10), another commonly seen triple.

There are no isosceles right triangles that have integer values for both the legs and the hypotenuse. If the legs are both 4, the hypotenuse will be 4√2 ≈ 5.657... (an irrational number), not 5.

Answer:

x^2(3x-2) cubic inches OR in^3

OR

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS

-

NOTE: '^' MEANS TO THE POWER OF..

-

Volume = v, abc = 3 sides of cube (height, width, length)

Using the formula for volume in a cube,

[tex]v = abc[/tex]

We can solve this.

If one side is (3x-2)in,

x^2(3x-2) cubic inches OR in^3

If all sides are (3x-2)in,

Use the formula,

[tex](a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3} [/tex]

We can solve this.

3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3

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If you have any questions regarding formulas or anything, comment and I will get back to you asap.

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Answer:

RT

Step-by-step explanation:

Hypotenuse is the greatest and since it is obtuse, it will be even longer.

Answer:

RT is the longest segment.

Step-by-step explanation:

If Angle S is 92°, then AngleR and AngleT are both acute angles. So AngleS is the biggest angle, so the side opposite AngleS is the biggest side. RT is the side opposite from AngleS. RT is the biggest side.

Answer:-5/4

Step-by-step explanation:

the slope is the number next to the letter X.

The workers would need 3.71 weeks to repair the road.

A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules

Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.

To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:

13 ÷ 3.5

= (13 x 10)/35

= 130/ 35

= 3.71

Therefore the workers would need 3.71 weeks to repair the road.

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The length of AD is 8.58 units

Here triangle CDE and triangle CAB are similar triangles.

We know that the corresponding sides of similar triangles are in proportion.

CD/CA = CE / CB = DE/AB

Consider, CD/CA = DE/AB

15/(15 + x) = 7/11

15 * 11 = 7 * (15 + x)

165 = 105 + 7x

7x = 165 - 105

7x = 60

x = 8.58 units

Therefore, the length of AD is 8.58 units

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Answer:

x= -16/11

Step-by-step explanation:

hope this helps

Answer: x=4

Step-by-step explanation:

28 divided by x+4=11

28 divided by x=7

28/7=4

Answer:

Step-by-step explanation:   57.183= to the whole number= 58.183

Tenth= 57.180

Hundredth= 57.200

Answer:

Nearest Whole Number: 57

Nearest Tenth: 57.2

Nearest Hundredth: 57.18

*Note: When rounding to a place value the number after the place value you want determines whether the place value number says the same or goes up by 1. In order for the place value number to stay the same the number after has to be less than 5 and in order for the place value number to go up by 1 the number after has to be greater than or equal to 5.

The set of ordered pairs that is a function is (c)  {(-2, -6), (-5, -6), (9, -2), (7, 3)}

The list of options represents the given parameter

As a general rule, for an ordered pair to be a function;

The y values on the ordered pair must point to different x values

In (a) the y values -1 and 7 have the same x value of 1

So, it is not a function

In (b) the y values -4 and -6 have the same x value of 3

So, it is not a function

In (c) all the y values have different x values

So, it is a function

In (d) the y values -5 and -1 have the same x value of -6

So, it is not a function

Hence, the ordered pair that is a function is (c)

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Answer:

The answer would be C. {(-2, -6), (-5, -6), (9, -2), (7, 3)\}{(−2,−6),(−5,−6),(9,−2),(7,3)}

Step-by-step explanation:

Joseph left 469 ounces of candy, according to the given question.

What do you mean by candy?

A sugar-based confection that frequently contains filling and flavoring: a slice of such a confection is called candy. Something that has a lighthearted or frivolous appeal and visual delights.

According to data in the given question,

We have:

Total ounces of candy = 714

Number of candy he shared = 245

Now, we need to determine the candy he has left,

= Total number of candy - Number of shared candy

= 714 - 245

= 469

Therefore, he left 469 ounces of candy.

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The greatest number of 40-kilogram crates is 517.5.

From the question, we have

Weight of the crate = 40 kg

Greatest weight that the container can load = 25500 kilograms

Weight of the other shipments on the container = 4800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

4800 + 40c ≤ 25500

40c ≤ 25500 - 4800

40c ≤ 20700

c ≤ 517.5

Hence, the greatest number of 40-kilogram crates is 517.5.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Answer:

64

Step-by-step explanation:

I may be incorrect.

Answer: 33.333333333333%

Step-by-step explanation:

The difference is 1/3. Twelve by three is four. Nine by three is three. The different from 9 to 12 is 1/3.

Answer:

See below

Step-by-step explanation:

A vertical line is just x =

 so if   a = 1   b = 0    and c = 9     would be a vertical line through the point

   so you wind up with         x = 9

The 99% confidence interval for the population proportion of printers that are used in small businesses, using the z-distribution, is of:

(0.2743, 0.5493)

A confidence interval of proportions has the bounds given by the equation presented next:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

(the critical value can be found either with the z-table or with a z-distribution calculator).

The sample size and the estimate are listed as follows:

[tex]n = 85, \pi = \frac{35}{85} = 0.4118[/tex]

The lower bound of the interval is obtained as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4118 - 2.575\sqrt{\frac{0.4118(0.5882)}{85}} = 0.2743[/tex]

The upper bound of the interval is obtained as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4118 + 2.575\sqrt{\frac{0.4118(0.5882)}{85}} = 0.5493[/tex]

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Answer:

A

Step-by-step explanation:

First off, "A" is the only one that even has "x cubed minus one" in it.  The y squared divided by twenty-four is also present.

Answer: its 4.06

Step-by-step explanation:

Answer:

$16.30

Step-by-step explanation:

15.99-15%=$13.59

13.59x1.20=$16.30

Equation that makes it easier to find the number of vertices in an Octahedron is V + F = 14 with 8 faces there are 6 vertices.

Given:

Octahedron has 8 faces

Let F be the faces of octahedron

Let V be the vertices of octahedron

we know that:

V + F = 14

Given F = 8 substitute

V + 8 = 14

V = 14 - 8

V = 6

Therefore Equation that makes it easier to find the number of vertices in an Octahedron is V + F = 14 with 8 faces there are 6 vertices.

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The following are three equivalent expressions for the submarine's final position -(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)

What is defined as the equivalent expressions?

Each float advances by 5 units.

Each group takes a two-unit step.

As a result, the submarine's final position is:

Final = -(5)(3) - (2)(4)

The minus "-" symbol indicates that the submarine is sinking.

Thus, the following are equivalent expressions for the submarine's final position:

-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)

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