triangle DEF and triangle CBD are similar right triangles which statement is slopes is DF and CDs true

Answer: 33

Step-by-step explanation:

(f+​g)(−6​)=

f(-6)+g(-6)=

-6-3 + (-6)^2-(-6)=

-(6+3) + 36+6=

-9+42=

42-9=33

The resulting inequality equation in interval form is  (-∞, 19).

The range of values that might result in an inequality being true can be represented using interval notation.

There are two kinds of intervals, called open and closed (explained below), and each has a unique manner to notate it so we can distinguish between the two.

Given the inequality expression x < 19. This means that the interval must contain values that are less than 19 (19 excluded.)

The inequality x<19 as an unbounded interval is given as (-∞, 19).

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Answer:
1; 4/35
2; -16g

sorry if wrong

Answer:

0.156

Step-by-step explanation:

P(A & B) = P(A) * P(B)

P(Yankess score less than 5 and lose) = P(score less than 5) * P(lose)

0.39 * 0.4 = 0.156

Answer:

Explanation:

To check for this, we have to get the slope of the two lines

The slope of a line can be calculated using the formula:

where (x1,y1) are the coordinates of the first point and (x2,y2) are the coordinates of the second

Mathematically, we have the slope of the first as follows:

For the second line, we have it that:

When two lines are perpendicular, the product of their slopes is equal to -1

We have it that:

This shows that the two lines are not perpendicular

Number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

As given in the question,

Total number of candidates = 18

An election ballot asks voters to select five city commissioners from 18 candidates

Number of ways to select 5 city commissioners from a group of 18 candidates

= ¹⁸C₅

= ( 18!) ) / (5!)(18 - 5)!

= (18!) / (5!)(13!)

= ( 18 ×17×16×15×14×13! ) / ( 5×4×3×2×1 )( 13! )

= 8568

Therefore, number of ways to select five city commissioners from a group of eighteen candidates is equal to 8568.

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The two numbers are:

The greatest common factor is the product of common factors.

Answer:

5y + 4; y = -4/5

Step-by-step explanation:

combine like terms

add 2y+3y together, and -1+5

5y+4=0

-4        -4

5y= -4

/5      /5

y= -4/5

Answer: The photo below will show you how to do the problem. (i used 2 as an example)

Step-by-step explanation:

: Find the x- and y- intercepts. ...

Step 2: Find at least one more point. ...

Step 3: Plot the intercepts and point(s) found in steps 1 and 2. ...

Step 4: Draw the graph. ...

Step 1: Find the x- and y- intercepts.

Step 2: Find at least one more point. ...

Step 3: Plot the intercepts and point(s) found in steps 1 and 2.



Answer: a = 30

d = 4

c = 18

b = 6

Step-by-step explanation:

The measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 liters , the correct option is (d) 69.92 L .

In the question ,

it is given that ,

number of gallons that Chris bought = 18.4 gallons

also given that 1 gallon = 3.8 liter

Using the conversion , 1 gallon = 3.8 liter ,

we get ,

18.4 gallons = 3.8 × 18.4

                    = 69.92

hence, 18.4 gallons = 69.92 liters

Therefore , the measurement that is closest to the 18.4 gallons of gasoline that Chris bought is 69.92 Liters, the correct option is (d) 69.92 L   .

The given question is incomplete , the complete question is

Chris bought 18.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chris bought?

(a) 6.21 L

(b) 14.6 L

(c) 4.84 L

(d) 69.92 L

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A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase?​

Let n be the number of pieces. He sold n - 2 pieces

Let p be the original price. His selling price = p + 4

Then n · p = 70.00

And (n - 2) · (p + 4) = 70.00+18.00 ---> np + 4n - 2p - 8 = 88.00

---> np + 4n - 2p = 96.00

---> 70.00 + 4n - 2p = 96.00

4n - 2p = 26.00

2n - p = 13.00

Trying some possibilities (7 & 1), (8 & 3), (9 & 5), and (10 & 7), finally gets us to the answer: n = 10 and p = 7.00.

therefore

We are given the following point:

The given transformation is the following:

Replacing the values:

Therefore, the image is (-6,-7)

Answer:

4

Step-by-step explanation:

to solve this equation you should add the values on the left side then divide 10 by whatever value you get

-2(x-1)+4x=10

-2x+2+4x=10

2x+2=10

2x=10-2

2x=8

x=4

Given:

The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.

ption D is the final answer.

In order to calculate the function (f/g)(x), we need to divide f(x) by g(x).

First, let's find the zeros of the function f(x), so we can write it in the factored form:

So the factored form is:

Now, calculating the composite function, we have:

The number of gallons in 6 containers is 4

The statement is given as

A container has a capacity of 2/3 gallons

This means that

1 container = 2/3 gallons

Multiply both sides of the equation by 3/2

So, we have

3/2 * 1 container = 2/3 gallons * 3/2

Evaluate the products

So, we have

3/2 containers = 1 gallon

Multiply both sides by 4

So, we have

4 * 3/2 containers = 4 gallons

This gives

4 gallons = 6 containers

Hence, the number of gallons is 4

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Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

What Separates a Function's Domain from its Range?

A function's domain and range are its constituent parts. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All real numbers fall under the expression's domain, with the exception of cases where it is undefined. No real number exists in this situation, rendering the statement undefinable.

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Answer:

7 toys and 0 mail boxes

Step-by-step explanation:

Answer:

Given that:!

Carlo mailbox = 1

Anita mailbox = 3

Carlo toy = 1

Anita toy = 4

Carlo work = 7 hours per week

Anita work= 24 hours per week

mailbox sells = $8

toy sells $14 =

solution

we consider here number of mailboxes is m

and m≥0

and

number of toys is t

and t≥0

so we can say equation will be

1m + 1t ≤7

3m+ 4t≤ 2

solve these equation 1,2,3 and 4 in graph and we will get graph that is attach here

we get here are 4 corner that is

The corner points are: (0, 0), (7, 0), (4, 3), (0, 6)

so objective revenue function is

F(m, t) 8m + 14t =

put here all value of corner

F(0, 0) = $0

F(7, 0) = 7×8 = $56

F(4, 3) = 4×8+ 3×14= $74

F(0, 6) = 6×14 = $84

so here maximize the revenue they should make 6 toys

By using the method subtraction, Total prizes are left over are 52- 34= 18

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given that,

A carnival game booth begins the evening with 40 prizes.

In the first 30 minutes that the booth is open, no one wins

a prize.

In the next hour, 8 prizes are won. In the next 45

minutes, 10 prizes are won.

During the next 45 minutes, the booth owner brings in 16 additional prizes.

In the next 2 hours, 12 prizes are won.

An hour later, 4 prizes are won, and the carnival closes for the evening.

Total prizes are 52 prizes.

Total prizes given are 34 prizes

Total prizes are left over are 52- 34= 18

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yes,  the square box song big enough to fit the pizza inside.

what is square?

A square is a regular quadrilateral , which means that it has four equal sides and four equal angles.

we have that,

the diameter of the pizza is

D = 10 1/3in

the wide of the square box is

b=10.38in

we know that  

for the pizza to fit inside the box ,it must be fulfilled that

D ≤ b

convert 10.38 in to fraction number

10.38 (100/100)= 1.038/100=519/50

convert 101/3 in to an improper fraction

10 1/3 = 10+3+1/3=31/3

multiply the diameter of the pizza by 50 both numerator and denominator =31+50/50+3= 1.550/150 in

multiply the wide of the box by 3 both numerator and denominator 1.550/150in ≤ 1.557 /150 in

therefore

the pizza fit inside the box .

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The most appropriate choice for fraction will be given by -

Bernie can make 10 stools

What is a fraction?

Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of fraction is called numerator and the lower part of fraction is called denominator.

[tex]2\frac{1}{2}[/tex] feet = [tex]\frac{5}{2}[/tex] feet of wood can be used to make 2 stools

1 feet of wood can be used to make [tex]2 \div \frac{5}{2}[/tex] stools

                                                           [tex]2 \times \frac{2}{5}[/tex] stools

                                                           [tex]\frac{4}{5}[/tex] stools

[tex]12\frac{1}{2} = \frac{25}{2}[/tex] feet of wood can be used to make [tex]\frac{4}{5} \times \frac{25}{2}[/tex] stools

                                                                      = 10 stools

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Answer:

Given that,

Rectangular room is of the dimension 12 feet by 18 feet

To find the number of square feet of carpet needed.

Explanation:

Area of the rectangle is,

Area of the rectangular room is,

Area of the rectangular room is 270 square feet.

Therefore, 270 square feet of carpet are needed to cover the room.

we know that,

Using this conversion we get,

Answer:

  -2

Step-by-step explanation:

You want to help a student evaluate -8-2(-3).

The given expression consists of a sum of a number and a product. The first operation to be performed is to find the product:

  -8-2(-3) = -8 +6

Then the sum can be performed:

  -8 +6 = -2

The student should be reminded to identify the parts of the expression and use the order of operations to evaluate them.

Triangles P is equal to triangle v and triangles A is equal to triangle J.

Consider the unit of the scale on the X-axis is 1 unit. and

Consider the unit at Y-axis is 1 unit.

Take a triangle p and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

Take a triangle V and measure each unit.

1/2 + 1/2 + 1/2 + 1 + 1 + 1 =  9/2

=4.2

∴ The calculation is too same.

Here, ΔP=ΔV

Take a triangle I and measure each unit.

unit of I is 1.

Take a triangle J and measure each unit.

unit of J is 1.

∴ ΔI=ΔJ

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Think of -1.1 as -11

Think of -1.2 as -12

I moved the decimal points to the right for each value

Then on a vertical number line, notice how -12 is below -11, so -12 < -11

If we divide both sides by 10, then we go from -12 < -11 to -1.2 < -1.1

In short, the final expression you have -1.1 < middleStuff < -1.2 is in the wrong order.

It should be -1.2 < 2 - sqrt(10) < -1.1

I swapped the places of -1.1 and -1.2

If you were to use a calculator, then 2-sqrt(10) = -1.162 approximately which fits the description of being between -1.2 and -1.1; this helps confirm we have the correct upper lower and upper bounds.

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

Here's another way to look at it

3.1 < sqrt(10) < 3.2

-1*3.1 > -1*sqrt(10) > -1*3.2 ............ see note1 below

-3.1 > -sqrt(10) > -3.2

-3.1+2 > -sqrt(10)+2 > -3.2+2  ....... see note2

2-3.1 > 2-sqrt(10) > 2-3.2

-1.1 > 2 - sqrt(10) > -1.2

-1.2 < 2 - sqrt(10) < -1.1 ........... see note3

Footnotes

Answer:

add -8 to -3 so thats 5 and your answer is 5=z

Step-by-step explanation:

The result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

Given the number 130 base 10

Here we have use base conversion 130 base 10 to the number base six

.Here we have to follow 2 steps

In first step : Converting 130 to base 10

1 × [tex]10^{2}[/tex] = 100

3 × [tex]10^{1}[/tex] = 30

0 × [tex]10^{0}[/tex] = 0

Add of the result together

100 + 30 + 0 = [tex]130_{10}[/tex]

In second step : Converting [tex]130_{10}[/tex] to base 6

We can solve it by using the method

6 | 130

6 | 21 | 4

6 | 3 | 3

6 | 3 | 3

Then the result will be [tex]334_{6}[/tex]

Hence, the result of converting the number 130 base 10 to the base six is  [tex]334_{6}[/tex]

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