What number makes the equation true? Enter the answer in the box

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:

24

Step-by-step explanation:

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

36 units.

Step-by-step explanation:

Answer:

h² - 10h + 25

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Area:=45

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:

[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: 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.

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:

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:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer:

x = 24 in

Step-by-step explanation:

The corresponding  sides of similar triangle will be in same proportion.

[tex]\frac{x}{8}=\frac{15}{5}\\\\\frac{x}{8}=3\\\\x = 3*8\\x = 24[/tex]

Step-by-step explanation:

x/15 = 8/5

x = 15 * 8 / 5

x = 24

answer

x = 24 in

Answer:

2.04 km

Step-by-step explanation:

there are 1,000 m in 1 km

she was 680 x 3 meters = 2,040 m

2,040 m = 2.04 km

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

Answer:

1/3

Step-by-step explanation:

Since there are ten people, you have to divide three by ten. It would be 1/3.

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.

Just see what even number 52 can go into

Answer:

28 and 32 or B And C

Step-by-step explanation:

Answer:

[tex] {x}^{2} - 8x + \boxed{16} \\ = {x}^{2} - 2 \times 4 \times x + {4}^{2} \\ = {(x - 4)}^{2} [/tex]

So, 16 should be added to the expression to make it a complete square.

Formula used : (a-b)²=a²-2ab+b²

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.

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Answer:

No

Step-by-step explanation:

4 : 7 = 2 : 3.5, not 2 : 3

Answer:

No

Step-by-step explanation:

4/2=2

2 x 2 = 4

3 x 2 = 6

4:7 and 4:6 is not equal.

Answer:

12.7=x

Step-by-step explanation:

y=mx+b

10=.65x+1.75

-1.75       -1.75

8.25=.65x

.65     .65

12.69=x round up

12.7=x

Answer:

answer B is correct of this question

Answer:I believe the answer is C my dude

Step-by-step explanation: