write the new coordinates after the triangle is rotated 180 degrees counterclockwise about the origin.

There will be 6 two-digit numbers having an odd number of factors.

According to the question,

We have the following information:

There are two-digit numbers.

It means that the list of numbers is from 10 to 99.

Now, we have to find the numbers with the odd number of factors.

We know that odd numbers are the numbers which are not divisible by 2. For example, 1, 3, 5, etc. are odd numbers.

Note that 1 is also included as a factor.

Now, the numbers with odd number of factors will be the perfect squares as 1 will be added to them and the numbers will become odd.

So, the perfect two-digit square numbers are 16, 25, 36, 49, 64 and 81.

Now, we can prove that these numbers satisfy the given conditions by taking factor of any one number.

Let's take 25. The factors of 25 are 1, 5, and 5. So, in total there are 3 factors.

Hence, there are 6 two-digit numbers having an odd number of factors.

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The expression used to show the distributive property is 3/5 x - 3/7 .

The examples that follow show how to apply the distributive law towards the set of real numbers R.

Now the given expression is  3 (1/5x - 1/7)

Therefore it can be broken down into smaller parts by using the distributive property.

therefore:

3 (1/5x - 1/7)

=3×(1/5x) - 3×(1/7)

=3/5x  - 3/7

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Based on the gallons of apple juice brought by the students, and the serving per gallon, the number of students that would have some apple juice is  15 students

First, find the total amount of juice that the students brought of apple juice:

= 1 ½ + 3 ½

= 3/2 + 7/2

= 10 / 2

= 5 gallons

If each serving is in a 1/2 cup, then the number of students that would be able to get some apple juice is:

= Number of gallons of juice / Number of cups per serving

= 5 ÷ ⅓

= 5 x 3/1

= 15 / 1

= 15 students

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Answer:

it should be a 90-degree angle or right triangle

Step-by-step explanation:

The area of square is 196 square inches which is the last option.

Perimeter of square

The perimeter of a square is the distance covered by its four sides. Perimeter surrounds or outlines the shape in a two-dimensional plane.

Given that:-

Perimeter of square = 56 inches

The perimeter of a square can be found using the equation :

[tex]P=4\sqrt{A}[/tex]

Where, A is the area of the square and,

P is the perimeter of the square.

We have to find the area of the square.

Using the given data to find the area of the square, we get,

[tex]56 = 4\sqrt{A}\\\\ \frac{56}{4}=\sqrt{A}\\\\ 14=\sqrt{A}\\\\[/tex]

Squaring the equation, we get,

A = 196 square inches.

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From the given figure a pair of lines that appear to parallel are AG and CJ.

The line segments AG, BH and CJ and DF is transversal.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

12. A pair of lines that appear to parallel are AG and CJ.

13. A perpendicular is a straight line that makes an angle of 90° with another line.

Here, the perpendicular lines are DF and BH.

14. When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection.

Here, AG and DF, BH and DF, CJ and DF are intersecting lines.

Therefore, from the given figure a pair of lines that appear to parallel are AG and CJ.

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Answer:

x = (7/2) - (y/2)

Step-by-step explanation:

The possible step used in eliminating the y-term in Equation P: y + z = 6  Equation Q: 8y + 7z = 1 is (y + z = 6) * (−8)

The two equations are :

Equation P: y + z = 6

Equation Q: 8y + 7z = 1

Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution.

A system of simultaneous linear equations is any set of two or more linear equations that share the same unknown variables. Finding values for the unknown variables that simultaneously satisfy all of the equations is required to solve such a system.

Two linear equations in two variables together are known as simultaneous linear equations.

The solution of the system of simultaneous linear equations is the ordered pair (x, y) that satisfies both linear equations.

Based on the given conditions,

Equation P: y + z = 6             ( Equation-1 )

Equation Q: 8y + 7z = 1         ( Equation-2 )

To solve the above simultaneous linear equation multiply the equation-1 with (-8)

So,

We can write,

⇒ ( y + z = 6 ) * (-8)

-8y - 8z = -48                        ( Equation-3 )

Now add Equation (3) with Equation (2)

Then,

-8y - 8z = -48

8y + 7z = 1  

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

-z = -47

z = 47

Therefore,

The expression ( y + z = 6 ) * (-8)  is a possible step used in eliminating the y-term.

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Step-by-step explanation:

7. the additive property of equality. we can add the same thing to both sides, and the equality stays true. it is like a balance with 2 cups. it is balanced, and we add the same weight to both sides. it remains balanced.

8. the commutative property of equality.

a = b, therefore b = a.

the simplest of all principles and properties.

imagine what would be the consequence, if that

were not true.

it would mean for example that you give the cashier in a store some money to pay for something, but the amount the cashier receives is not the same amount you have given the cashier. booom !

If the researcher employs a repeated measures design with 15 participants per condition, the study will require 15 participants

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Given:

17 people apply for the position of an engineer.

22 people apply for the position of a manager.

Number of ways to fill the positions is 374.

Using the properties of ratio and proportion we can find the value as  [tex]\frac{x+1}{x-1}[/tex] .

A theorem built on the idea of proportions enables a computation procedure that is speedier and requires fewer expansions.

The given ratio is of the form x = a /b

This can be written in the form of

[tex]\frac{x}{1} = \frac{a}{b}[/tex]

Now we have to find the value of [tex]\frac{a+b}{a-b}[/tex].

Using the componendo and dividendo rule we get:

Adding the denominator to the numerator to get the new numerator and subtracting the denominator from the numerator to get the new denominator.

Mathematically:

[tex]\frac{a+b}{a-b} = \frac{x+1}{x-1}[/tex]

Therefore this is the required result.

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Answer:

Q (- 1, 6 )

Step-by-step explanation:

use the midpoint formula to find the coordinates of M then equate the x and y coordinates with the actual coordinates of M

P (11, - 10) and let Q = (x, y ) , then

[tex]\frac{11+x}{2}[/tex] = 5 ( multiply both sides by 2 )

11 + x = 10 ( subtract 11 from both sides )

x = - 1

and

[tex]\frac{-10+y}{2}[/tex] = - 2 ( multiply both sides by 2 )

- 10 + y = - 4 ( add 10 to both sides )

y = 6

coordinates of Q = (- 1, 6 )

Answer:

324

Step-by-step explanation:

1) substitute the 5 into the formula

n=5     [tex]a_{n}=4[/tex]×[tex]3^{5-1}[/tex]

2) simplify

5-1 = 4

[tex]3^4[/tex] = 81

4×81 = 324

Hope this helps, have a great day!

Answer:

5th term = 324

Step-by-step explanation:

[tex]a_n \: = \: 4 \: \cdot \: {3}^{n - 1} [/tex]

Where, n = 5

[tex]a_5 \: = \: 4 \: \cdot \: {3}^{5 - 1} [/tex]

[tex]a_5 \: = 4 \: \cdot \: {3}^{4} [/tex]

[tex]a_5 \: = 4 \: \cdot \: 81[/tex]

[tex]a_5 \: = \: 324[/tex]

A polynomial more than 3 terms is read as trinomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

hence, a polynomial more than 3 is trinomial or cubic.

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The lengths of the base and height of the garden in the other scale drawing is 9.6 cm and 14.4 cm

The scale from a garden to the illustration is stated as 8 feet to 1 centimeter in the question. The drawing's base and height are each 2.4 cm long and 3.6 cm tall, respectively.

As a result, the lengths of the garden's base and height are, respectively, 2.4*8 ft (19.2 ft) and 3.6*8 ft (28.8 ft).

We now know that the scale is 2 feet to 1 centimeter between the same garden and another drawing.

Thus, the lengths of the base and the height of the other drawing are 19.2/2 cm. = 9.6 cm. and 28.8/2 cm. = 14.4 cm. respectively.

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The fifth and the twenty fifth terms of the arithmetic sequence are a5 = - 45 and a25 = - 1725

A group of integers that are arranged in a particular order and share a difference between each term is known as an arithmetic sequence. For instance, the common difference between the numbers 3, 9, 15, 21, and 27 in mathematics is 6. The term "arithmetic progression" can refer to an arithmetic sequence..

The given expression is [tex]6n - 3n^2[/tex]

The 5th term that is n = 5

thus the given expression will become

[tex]6n-3n^2[/tex]

which is equal 6×5 - 3 (5)²

= 30 - 3 × 25

= 30 - 75

= - 45

The 25th term is n = 25

Thus the given expression that is [tex]6n-3n^2[/tex]

= 6 × 25 - 3× ( 25) ²

= 150 - 3 × 625

= - 1725

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Answer:

0.45

Step-by-step explanation:

2.75+ 2.80= 5.55

6-5.55= 0.45

I hope this helps! :) If it does could you please mark me brainliest?

Answer:

Step-by-step explanation:

answer: 9/20

formulate 2 3/4 + 2 4/5 - 6

sorry if im wrong.

The requested probability is 0.99974

The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Only the likelihood of an event occurring, or how probable it is to happen, can be predicted using probability. Tossing a coin, for instance, has a chance of coming up heads or tails.

TOTAL NUMBER OF POSSIBLE HANDS..

WE HAVE 52 CARDS WITH 4 SUITS AND 13 CARDS PER SUITE.

WHEN WE ARE DEALT A 5 CARDER, DISREGARDING THE ORDER OF DEAL,WE HAVE

C[52,5] TOTAL NUMBER OF POSSIBLE HANDS =52!/[47!×5!]=[52× 51 × 50 ×49× 48× (47!) ]/[5! ×47!]=

=[52× 51× 50× 49×48]/ [5!] = 2598960

ROYAL FLUSH

THIS COULD BE OF ANY SUIT ...

SO WE HAVE 4 POSSIBILITIES

ONCE A SUIT IS CHOSEN THE THEN THE OTHER POSSIBILITY IS TO ONLY GET

A,K,Q,J,10 IN THAT SUIT, OF EACH OF WHICH, THERE IS ONLY ONE CARD IN THE PACK

SO THERE IS ONLY 1*1*1*1*1=1 WAY

SO TOAL NUMBER OF POSSIBILITIES ARE 4^ * 1 = 4 WAYS

SO PROBABILITY = 4/2598960 = 0.00000154 ..........ANSWER

PROBABILITY = 0.00000 ...ANSWER

TWO PAIR OR BETTER

THERE ARE ...4+36+624+3744+5108+10200+54912+123552-198180

HENCE PROBABILITY = 198180/2598960=0.0762536

-0.07625...........ANSWER

WE CAN GET 4 OF A KIND OR BETTER IN 4+36+624= 664 WAYS

SO LOSING HANDS TO 4 OF A KIND ARE =2598960-664-2598296

SO PROBABILITY = 2598296/2598960-0.9997445

=0.99974...........ANSWER

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Answer:

3 ft^2

Step-by-step explanation:

We'll assume the carpet is only for the closet floor.  In that case we don't need the closet height.

Area of the floor can be calculated by multiplying the length (4 1/2 feet) and depth (2/3 foot):

Area = (4 1/2 feet)*(2/3 feet)

Area = (9/2 ')*(2/3 ')

Area = (18/6)'

Area = 3 ft^2

If Mandi has 8 dog biscuits, she has 7 dog bowls and each dog bowl gets the same number of dog biscuits, then the number of dog biscuits in each bowl is 1.14 biscuits

Number of dog biscuits that Mandi has = 8 dog biscuits

Number of dog bowls that Mandi has =  7 dog bowls

Each dog bowl get the same number of dog biscuits.

To find the number of dog biscuits in each bowl we have to do the division

Number of dog biscuits in each bowl = Number of dog biscuits that Mandi has ÷ Number of dog bowls that Mandi has

Substitute the values in the equation

= 8/7

= 1.14 biscuits

Hence, if Mandi has 8 dog biscuits, she has 7 dog bowls and each dog bowl gets the same number of dog biscuits, then the number of dog biscuits in each bowl is 1.14 biscuits

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Answer:

y = (3/2)x - 12

Step-by-step explanation:

The equation of a line is expressed in the form y = mx + c, where m is the gradient (slope) and c is the y-intercept. Simply substitute your values into this form:

y = (3/2)x - 12

Answers:

Zeros: -2 and 1

Factored form: P(x) = (x+2)(x+2)(x-1)

====================================================

Explanation:

One way to show that c = -2 is a zero or root of P(x) is to plug it in as the x value and simplify. If we get P(x) = 0, then that input is a root.

P(x) = x^3+3x^2-4

P(-2) = (-2)^3+3(-2)^2-4

P(-2) = -8+3(4)-4

P(-2) = -8+12-4

P(-2) = 4-4

P(-2) = 0

In short, the input x = -2 leads to the output P(x) = 0.

This confirms -2 is a root of P(x). By extension, this tells us that (x+2) is a factor of P(x).

We can determine the other factor using synthetic division as shown in figure 1. See the image below.

The synthetic division table shows us getting a remainder of 0, as highlighted in yellow.

The other stuff in pink represents the coefficients of the quotient.

We have the coefficients 1, 1, -2 which forms 1x^2+1x-2 and that simplifies to x^2+x-2

This further factors to (x-1)(x+2) because we're looking for two numbers that a) multiply to -2 and b) add to 1. Use the FOIL rule to expand (x-1)(x+2) and you should get x^2+x-2 again. This helps confirm the factorization was done correctly.

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

In short, we found that P(x) = (x+2)(x^2+x-2) and it fully factors to P(x) = (x+2)(x+2)(x-1)

Each factor leads to a root.

x+2 = 0 leads to the root x = -2

x-1 = 0 leads to the root x = 1

Visually, each root is an x intercept where the curve either crosses the x axis or touches it before bouncing away. See figure 2 below.

Solution

Given the probability of event A happening is P(A) = 7/10

the probability of event A not happening P(A') = 1 - 7/10 = 3/10

The answer is 3/10

Answer:

2

Step-by-step explanation:

The trash dumpster fee was 60 dollars.