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Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer: 2430 bacteria.

Step-by-step explanation:

When we have a quantity A, and we have an increase of the X%, the new quantity can be written as:

A + (X%/100%)*A

In this case, we have A = 10 bacteria.

And X% = 200%.

Then if we start with 10 bacteria.

After one day, we will have:

10 bacteria  + (200%/100%)*10 bacteria

= 10 bacteria + 2*10 bacteria = 3*10 bacteria.

After another day, we will have:

3*10 bacteria + (200%/100%)*(3*10 bacteria)

3*10 bacteria  + 2*(3*10 bacteria)

3*(3*10 bacteria)

10 bacteria*(3)^2

We already can see the pattern here.

After t days, we will have:

10 bacteria*(3)^t.

This is the equation f(t) we wanted:

f(t) =10 bacteria*(3)^t

after 5 days, we will have:

f(5) = 10 bacteria*(3)^5 = 2430 bacteria.

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer:

m(slope)=2

b(y-intercept)=5

Step-by-step explanation:

Answer:

2x represents the slope and 5 represents the y intercept.

Answer:

h² - 10h + 25

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

Answer:

36 units.

Step-by-step explanation:

Answer:

His school is 1.5 miles away :)

Step-by-step explanation:

6/4 = 1.5 miles

1.5 miles means his house is 1.5 miles from his school

Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.

4.5 + 1.5 = 6 miles

The distance between Salvador's house and his school is 1.5 miles

Let :

Therefore;

Then ;

Since, house is in between job and school :

The distance from house to school = d ; hence, distance between his house and school is 1.5 miles.

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Answer:

The 16-oz bottle is a better buy

Step-by-step explanation:

Find the better buy by finding which one has a lower price per ounce:

Calculate the price per ounce of both bottles by dividing the cost by the number of ounces

5.78/16

= 0.36

3.97/8

= 0.5

Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.

Answer:

The 16-oz bottle of parmesan cheese is the better buy.

Step-by-step explanation:

It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.

Answer:

x=9; JL= 23

Step-by-step explanation:

To find x:

If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.

Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.

Get x alone by dividing both sides by 5 and you will get 9=x.

To find JL:

Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.

2•9 = 18.

18+5=23

Answer

31 7/8

Step-by-step explanation:

12 3/4 x 2 1/2=51/4 x 5/2

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

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Answer:

[tex]Salary = \$5670[/tex]

Step-by-step explanation:

Given

[tex]Items = \$27000[/tex]

[tex]Rate = 21\%[/tex]

Required

Determine her salary

Her salary is calculated as:

[tex]Salary = Rate * Items[/tex]

This gives:

[tex]Salary = 21\% * \$27000[/tex]

Convert % to decimal

[tex]Salary = 0.21 * \$27000[/tex]

[tex]Salary = \$5670[/tex]

Answer:

9

Step-by-step explanation:

i did the math

9514 1404 393

Answer:

  [tex]f(x)=\left\{\begin{array}{ccc}3&\text{for}&-5\le x < 0\\1-x&\text{for}&0<x \le 5\end{array}\right.[/tex]

Step-by-step explanation:

The left section is defined at x = -5, but not at x = 0, so the interval for that definition is -5 ≤ x < 0. The function value on that interval is constant: 3.

The right section is defined a x = 5, but not at x = 0, so the interval for that definition is 0 < x ≤ 5. That section is a straight line with a slope of -1 and a y-intercept of 1. The function value on that interval can be written -x+1.

Then the piecewise definition is ...

  f(x) = {3, for -5 ≤ x < 0; -x+1, for 0 < x ≤ 5}

Answer:

Step-by-step explanation:

Area:=45

Answer:

28 and 32 or B And C

Step-by-step explanation:

Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ [tex]d = \frac{80}{3.14}[/tex]

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

Answer:

length of rope [tex](P+3) =12.167[/tex]

Step-by-step explanation:

From the question we are told that

Length of rope on Ground [tex]L_1=3 feet[/tex]

Length of rope from pole base when stretched [tex]L_2=8feet[/tex]

Given length of pole as P

length of the rope is therefore given by

[tex]P+3[/tex]

Generally the Pythagoras theorem is mathematically given by

[tex]P^2+8^2=(P+3)^2[/tex]

[tex]P^2+64=P^2+9[/tex]

[tex]P=9.167[/tex]

Therefore

length of rope [tex]P=9.167[/tex]

length of rope [tex](P+3) =9.167+3[/tex]

length of rope [tex](P+3) =12.167[/tex]

Answer:

Sure.

Step-by-step explanation:

ok, so you basically just count from 0 going left three spaces. and the same going 5 spaces. For positive numbers you go (starting at 0) from left to right. for negative numbers (starting from 0 on the line) you go right to left.

I will make a G for where the green dot goes and a P for the pink dot.

<--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I--I-->

         P    G       0       3     5

Hope this helps.

- Mach Speed.

Answer:

it is 679

Step-by-step explanation:

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

Just see what even number 52 can go into

Answer:

ANSWER IS -3

Step-by-step explanation:

HOPE THIS HELPS

ANSWER IS -3

have a good day

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

91, 49, 48, 8 are rational number

Answer:

Step-by-step explanation:

given function:

[tex] \quad \rm\: f(x) = - 2x +8[/tex]

when x is 0

[tex] \sf \:f(0) = - 2.0 + 8[/tex]

simplify multiplication:

[tex] \sf f(0) = 8[/tex]

when x is 3

[tex] \sf f(3) = - 2.3 + 8[/tex]

simplify multiplication:

[tex] \rm \: f(3) = - 8 + 8[/tex]

add:

[tex] \rm \: f(3) = 0[/tex]

when x is 6

[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(6) = - 12 +8[/tex]

simplify addition:

[tex] \quad \rm\: f(6) = -4[/tex]

when x is 9:

[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(9) = - 18 + 8[/tex]

simplify addition:

[tex] \quad \rm\: f(9) = - 10[/tex]

Answer:

when x =0

f(x)=-2×0+8=8

when x =3

f(x)=-2×3+8=2

when x =6

f(x)=-2×6+8=-4

when x =9

f(x)=-2×9+8=-10