A. Write the FF sets using the roster method:

B. Complete the FF by writing each set in three defferent ways :​

Answer: -7/3≤t≤5/3

Step-by-step explanation:

|2t + 2/3|≤4

2t + 2/3≤4

(2t + 2/3≤4)*3

6t+2≤12

6t≤10

t≤10/6

t≤5/3

2t + 2/3>=-4

(2t + 2/3>=-4)*3

6t + 2>=-12

6t>=-14

t>=-14/6

t>=-7/3

-7/3≤t≤5/3

Answer:

119 R5

divide divide divide divide

The answer is

.119 R 12.........................................

She earned a total of:

[tex]5(9.50)+2(11.25)+2(8.75)=\$ 87.50[/tex]

If she pays 15% for the booth space, she keeps 85%.

[tex]87.50(0.85) \approx \boxed{\$ 74.38}[/tex]

Answer:

a. 12= 0.50x

b. x=24 because if 0.5 times x is 12 then 12 *2 is x

c. 80$

Step-by-step explanation:

Its above.

Answer:

9, 892, 846, 437

Step-by-step explanation:

9 billion = 9,000,000,000

8 hundred million = 800, 000, 000

9 ten million = 90, 000, 000

2 million = 2, 000, 000

8 hundred thousand = 800, 000

4 ten thousand = 40, 000

6 thousand = 6000

4 hundred = 400

3 ten = 30

7 one = 7

Add them all together = 9, 892, 846, 437

Hope this helped! ^^

we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

We are given a power set:

A = {1, 2, 3, 4, 5, 6}

We are also given another power set:

B = {2, 3, 4, 5}

We need to tell if B is a subset of A or not.

We can see that every element of B is a part of A as well.

So, we can say that B is a subset of A.

B ⊂ A

{2, 3, 4, 5} ⊂ {1, 2, 3, 4, 5, 6}

Therefore, we get that the power set of {2, 3, 4, 5} a subset of the power set of {1, 2, 3, 4, 5, 6}.

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Answer:

x/7+12

Step-by-step explanation:

One seventh refers to 1/7.

Since we do not know what "a number" is it, it is written as "x."

Whenever you see the word "increased" think addition.

So in this case,

x / 7 + 12

Answer:

2 is the y-int.

Step-by-step explanation:

Becuase the line runs through the y-axis at 2.

Step-by-step explanation:

1 i think becoz if you shift it will become x= 2 so on putting it on eq. we will get 1

Answer:

Step-by-step explanation:

F(x) = 3x-5

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

3x-6-5

3x-11

0 = 3x-11

11=3x

11/3 = x

The answer would be x = 11/3 or 3.67 I believe.

Answer: -19

Step-by-step explanation:

n=number

6n+1=-113

6n=-114

n=-19

Answer: its not equal.

Step-by-step explanation:

-6y + 4 = 2 (-3y + 2)

|4y + 12| = 4 (y + 3)

Answer:

3 : 2 : 1

Step-by-step explanation:

Simplest ratio

6oz : 4oz : 2 oz

Divide each by 2

6oz/2 : 4oz/2 : 2 oz/2

3 oz:  2 oz:  1 oz

3 : 2 : 1

Answer:

1

Step-by-step explanation:

the answer is 1.21576655000000000.

the unit of this no. is 1.

Answer:

2.204×[tex]10^{9}[/tex]

Step-by-step explanation:

Convert to scientific notation.

The angle at which the shot was made should be 17.53° degrees.

Let C denote the point where the player attempts to put in a goal.

Let A and B denote the two goalposts.

We are given the posts of a hockey goal are 6 ft apart.

The distance between the player and one goalpost is 19 ft.

The distance between the player and the other goalpost is 24 ft.

Then, we have AC = 19 ft, BC = 24 ft, and AB= 6 ft.

Refer to the diagram.

Let θ be the angle made when trying to shoot the goal towards goalpost A.

Then we have tan(θ) = 6/19

⇒ θ = 17.53° degrees.

Therefore, the angle at which the shot was made should be 17.53° degrees.

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Brief The Question Please, Thank You

Step-by-step explanation:

Factor of 225

= 3 × 3 × 5 × 5

Factor of 495

= 3 × 3 × 5 × 11

Factor of 810

= 3 × 3 × 3 × 3 × 2 × 5

Now ,

HCF = Common Factor

= 3 × 3 × 5

= 45

[tex]...[/tex]

☘️☘️☘️...

Pentagon Question

The sides add to 63, so:

[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]

Rectangle Question

If the width is w, then the length is w+4.

This means that 2(w+w+4)=68.

[tex] 2(2w+4)=68 \\ \\ 2w+4=34 \\ \\ 2w=30 \\ \\ w=15[/tex]

So, the length is 19 and the width is 15.

The slope and y-intercept of the line is 2 and -7/9 respectively

The formula for calculating the slope intercept form of an equation is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation -18x-9y = 7

Write in slope intercept form

-9y = 18x + 7

y = -18/9 x - 7/9

Compare

m = -2

b = -7/9

Hence the slope and y-intercept of the line is 2 and -7/9 respectively

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A  = p +0.2p

We don't know the value of P, so it stays unknown.

The r is the interest rate as a decimal. we know that r = 0.04 because we're told the interest rate is 4%. Note that 4% = 4/100 = 0.04

The time in years is t = 5

So this means...

A = P + P*r*t

A = P + P*0.04*t ... replace r with 0.04

A = P + P*0.04*5 ... replace t with 5

A = P + P*0.2 ... multiply

A = P + 0.2*P ... swap term

A  = p +0.2p

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Answer:

  852

Step-by-step explanation:

You want the next number in the pattern that starts with 5, 12, 33, 96, 285.

When looking for patterns in sequences, it is often useful to consider first differences and the relations between them.

  12 -5 = 7

  33 -12 = 21

  96 -33 = 63

  285 -96 = 189

We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.

The next number in sequence is 285 +567 = 852.

__

Additional comment

When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.

Exponential regression gives the explicit formula as ...

  y = (3 +7·3^(x-1))/2

If you contribute $400 every quarter for 20 years, the amount of  interest you would  earn during the 20 years is $22,447.52

What future value formula is applicable in this case?

The applicable future value formula is that of an ordinary annuity which determines the future worth of $400 quarterly savings for 20 years bearing in mind that the quarterly interest rate is the annual interest rate divided by 4

FV=PMT*(1+r)^N-1/r

FV=worth of the annuity after 20 years=unknown

PMT=quarterly deposit=$400

r=quarterly interest rate=5%/4=1.25%

N=number of quarterly savings in 20 years=20*4=80

FV=$400*(1+0.0125)^80-1/0.0125

FV=$54,447.52

interest=$54,447.52-($400*80)

interest=$ 22,447.52

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Answer:

no it is not proportional...

Step-by-step explanation:

5 miles/40 minutes is 1/8

3 miles/27 minutes is 1/9...

Answer:

104.8cm³(1 decimal place)

Step-by-step explanation:

Volume of a cone is given by the formula

V=1/3πr²h

we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7

V=1/3× 22/7×5²×4

V=1/3 × 22/7 ×25 ×4

V=2200/21

V=104.76190476

V=104.8cm³(1decimal place)

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The number is 280

In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.

So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.

LCM of 2,5 and 7 is 70

70 x 4 = 280

Sum of digits of 280 is 10, which is also less than 500

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Answer:

Hello,

Step-by-step explanation:

[tex]1 < x\leq 5 \ \\\Longrightarrow\ 4 < 4x \leq 20 \ \\\Longrightarrow\ -1 < 4x-5 \leq 15 \\\Longrightarrow\ -1 < f(x) \leq 15 \\\\range=]-1; 15][/tex]

The range of the function f(x) = 4x - 5 will range from -1 to 15.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

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.

Given that the function f(x) = 4x – 5 and the interval is  1 < x ≤ 5. The range will be calculated as,

1 < x ≤ 5

4 < 4x ≤ 20

4-5<4x - 5< 20-5

-1 < 4x - 5 < 15

Therefore, the range of the function f(x) = 4x - 5 will range from -1 to 15.

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Answer:

Step-by-step explanation:

Joint variation equation:

Find the value of k by plugging in the given values:

The equation is:

Answer:

-15a⁶b⁵

Step-by-step explanation:

-3aaaaaa5bbbbb

= -3a⁶5b⁵

= -15a⁶b⁵

I hope this helps!