Which number is closest to the square root of 84 ?

9514 1404 393

Answer:

  (a)  m = 0.47, b = 154.30

  (b)  b = fixed costs, listed as insurance and car payments.

Step-by-step explanation:

(a) All you're required to do here is recognize that the fixed costs of $154.30 for insurance and car payments represent the constant part of the monthly expense. And, the $0.47 per mile represents the mileage-related part of the monthly expense. Of course the mileage-related charge is the product of the per-mile charge ($0.47) and the number of miles (x).

Then the monthly charge is ...

  monthly cost = mileage-related cost + constant (fixed) cost

  y = mx + b

  y = 0.47x + 154.30   ⇔   m = 0.47, b = 154.30

__

(b) The 'b' in the equation is the fixed monthly cost: $154.30 for insurance and car payment.

Answer:

Step-by-step explanation

(-y-y1)/(x-x1)= m

y-(-10)/(x-2)= -3

y= -3x -4

Answer:

[tex]y+10=-3(x-2)[/tex]

Step-by-step explanation:

First we must know the format of point-slope form.

This would be: [tex]y-y1 = m (x-x1)[/tex]

Given x = 2, y = -10, and that our slope MUST be -3

Lets solve for "b" in the slope-intercept form using the variables provided to us. Remember that slope-intercept form is: [tex]y=mx+b[/tex]  where "m" is the slope.

-10 = -3(2) + b

-10 = -6 + b

-4 = b

Congrats! We now have our b variable, which means we can write out our slope-intercept form for our equation. This would be:  [tex]y=-3x-4[/tex]

We aren't done though, we now must convert this into point-slope form! Remember that x = 2 and y = -10

Lets plug in -3 for the "m" spot, -10 for the "y1" spot, and 2 for the "x1" spot in the point-slope equation.

[tex]y+10=-3(x-2)[/tex]

(Why are we adding 10 instead of subtracting you might ask? Remeber that two negatives equal a positive; when we plugged in -10 into the "y1" spot it was already negative, it would essentially be this:  [tex]y - (-10)[/tex]  which turns into a positive!)

Huzzah! We now have our equation in point-slope form which is equivalent to: [tex]y=-3x-4[/tex]

Feel free to check on the Desmos graphing calculator if you wish!

If you have any questions feel free to ask! Hope this helped!

Answer:

Brian because if you do the math correctly it should be Brian

Answer:

Laurie

Step-by-step explanation:

Laurie

12 +3 (3² + (-9)) = 12 +3 (9 +(-9))   {Here, 3² is calculated}

                         = 12 + 3 *0         {9 - 9 = 0}

                         = 12 + 0      {Anything multiplied by 0 = 0}

                          = 12

Step-by-step explanation:

x : (x + 3) = 2 : 3

[tex] \frac{x}{x + 3} = \frac{2}{3} [/tex]

[tex]3x = 2x + 6[/tex]

[tex]3x - 2x = 6[/tex]

[tex]x = 6[/tex]

The value of x on simplifying the expression x : (x + 3) = 2 : 3 is 6.

If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalizes two ratios. It is the contrast of two different quantities. For instance, if your father weighs 90 kg, and you weigh 30 kg, the weight ratio is 1:3.

Given:

x : (x + 3) = 2 : 3,

Calculate the value by simplifying the expression,

3x = 2 (x + 3)

3x = 2x + 6

x = 6

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Answer:

2 × [tex]4x^{n}[/tex]- 1

Step-by-step explanation:

Answer:

The graph of the function  is shifted 6 units above that of the graph of f.

Step-by-step explanation:

Assuming that f and g are functions that map real numbers to real numbers, the graph of f is the set

{f(x) : x in R }

and the graph of g is the set

{g(x) : x in R}

where R is the set of real numbers. Since g(x) = f(x), the graph of g is then

{f(x) + 6 : x in R}.

Work Shown:

Social Security = 6.2% of 433.21 = 0.062*433.21 = 26.86

Medicare = 1.45% of 433.21 = 0.0145*433.21 = 6.28

Add up those results to get 26.86+6.28 = 33.14

Step-by-step explanation:

I think there are some typos in a)

anyway, this is a geometric sequence.

that means that after a starting value each new term is created by multiplying the previous term by a certain factor.

a)

s1 = 450

factor f = 2.5

so,

s2 = 450×2.5 = 1125

and so on.

from that we see that

sn = 450×(2.5)^(n-1)

and as

450/2.5 = 180

or

450 = 180×2.5

we can "extract" another 2.5 factor from the basic 450.

so,

sn = 180×2.5×(2.5)^(n-1) = 180×(2.5)^n

b)

s5 = 180×(2.5)⁵ = 17,578.125 or rounded 17578

c)

the question is unclear. are the bacteria of previous generations still there, when a new one is generated ?

then the 2.5 factor creates the sum implicitly, and the total number of bacteria in the first 10 generations is simply the 10th term s10.

s10 = 180×(2.5)¹⁰ = 1716613.76953125 = 1,716,614

or is it meant to sum the numbers of each generation (the old bacteria "go away", when the next generation is generated) ?

the sum of the first n terms of such a geometric sequence is

sum = a1×(1 - f^n)/(1 - f)

so, for our first ten terms

sum = 450×(1 - 2.5^10)/(1 - 2.5) =

= 450×-9535.7431640625/-1.5 =

2860722.94921875 = rounded 2,860,723

Answer:

87452

Step-by-step explanation:

not needed

Answer: in 2015 they sold 37,314.  In total they sold 87,452 in all three years combined.

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₁ * r²⁻¹ = 6

a₁ * r = 6   ... (1)

a₁ * r⁵ = 1458  ... (2)

(2)/(1) : r⁴ = 243      r = ±3 [tex]\sqrt[4]{3\\}[/tex]

if r = 3 [tex]\sqrt[4]{3\\}[/tex]

[tex]a_{1} = 6 / 3\sqrt[4]{3} \\a_{1} = \frac{2}{3} \sqrt[4]{27}[/tex]  

if r = -3 [tex]\sqrt[4]{3\\}[/tex]

[tex]a_{1} = -\frac{2}{3} \sqrt[4]{27}[/tex]

The first term of the geometric progression is 256.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

Let the first term of the geometric progression be denoted by 'a', and let the common ratio be denoted by 'r'.

According to the problem, the second term is 6, so we have:

ar = 6 ...(1)

Similarly, the seventh term is 1458, so we have:

[tex]ar^6[/tex] = 1458 ...(2)

We can use equation (1) to solve for 'r', and then substitute the value of 'r' into equation (2) to solve for 'a'.

From equation (1), we have:

r = 6/a

Substituting this into equation (2), we get:

[tex]a(6/a)^6[/tex] = 1458

Simplifying the right side of the equation, we have:

[tex]6^6[/tex] = 1458a

Solving for 'a', we get:

a = [tex]6^6[/tex]/1458 = 256

Therefore,

The first term of the geometric progression is 256.

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Answer:

54 degrees

Step-by-step explanation:

The sum of all the exterior angles on ANY convex polygon = 360 degrees

X = 360-47-97-36-88-38

= 54 degrees

Answer:

c = -9/2

Step-by-step explanation:

Answer:

Step 1: 2x - 6 = 4x

Step 2: -6 = 2x

Step 3: -3 = x

Step-by-step explanation:

Step 1: Start off with the distributive property, multiplying 2 by x and -3.

2(x - 3) = 4x ------> 2x - 6 = 4x

Step 2: Subtract 2x from both sides.

2x - 6 = 4x ------> -6 = 2x

Step 3: Divide by 2 to solve for x.

-6 = 2x ------> x = -3

ngl you should probably know this...

Answer:

4, 3, then 5

Step-by-step explanation:

1. 2x-6=4x

2. -6=2x

3. -3=x

Answer:

x is element of -1/2 and 2

Step-by-step explanation:

this is the answer

brainlist please

Answer:

Ask me things ill try my best!

Answer:

cx+3x^2+2c+6x-531

Step-by-step explanation:

Answer:

five hundred and seventy two, one hundred and ninety eight

Step-by-step explanation:

Answer:

The answer is -2

Step-by-step explanation:

2 to the 3rd power would be the same as saying 2x2x2 which is 8. Now with that, you know that y is 6 and o is 4, so you would do 8-6-4. I hope this helps!

Answer:

[tex]\begin{cases}a_1 = 10\\a_{n+1} = a_n + 4\end{cases}[/tex]

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

Explanation:

The first row [tex]a_1 = 10[/tex] indicates the first term is 10. The small "1" is the index number. That means [tex]a_2[/tex] is next followed by [tex]a_3[/tex] and so on.

To generate the next term, we follow this recursive step: [tex]a_{n+1} = a_n + 4[/tex]

It means "whatever the nth term [tex]a_n[/tex] is, we add 4 to it to get the next term [tex]a_{n+1}[/tex]"

In other words, we add 4 to each term to get the next term.

Eg: 10+4 = 14 and 14+4 = 18

The recursive step could be rewritten as [tex]a_n = a_{n-1}+4[/tex] based on how you frame things.

Answer:

18cm

Step-by-step explanation:

20/10 = 2cm

So since 2x10 is 20 and it exceeded only 10%, we only subtract 2 from 20 which you leave you with 18cm.

Answer:

16km/h

Step-by-step explanation:

average speed = total distance traveled / total time taken

30 min = 0.5 h

8/0.5 = 16km/h

Answer:

[tex]y=2x+1[/tex]

Step-by-step explanation:

Use the formula [tex]y=mx+b[/tex]

Switch out any number for '[tex]m[/tex]' and for '[tex]b[/tex]' and your input would be '[tex]x[/tex].'

Just make sure your '[tex]m[/tex]' is larger than your '[tex]b[/tex].'

An example could be, [tex]y=2x+1[/tex]

Answer:

tenths

Step-by-step explanation:

Tenths would be the place value found to the left of the 1 in 0.01 because the one is in the hundredths place value. If you move over to the left, it would be the tenths. Hope this helps!

Answer: (a.) 3x18= +54 meters.    (b.) (-12)+(-12)+(-12) =-36 Celsius

Step-by-step explanation:

Answer:

z=7

Step-by-step explanation:

Combine like terms: 2z=14

Reduce the greatest common factor on both sides of the equation z=7

answer: z= 7

Answer:

z = 7

Step-by-step explanation:

6z + z - 4z + 4z - 5z = 14

Collect like terms

6 + 1 - 4 + 4 - 5

-4 and 4 cancel out each other so remove it from the equation

6 + 1 - 5 = 2

2z = 14

Divide by 2 to isolate z

z= 7

Answer: 20m^(2)-9m-20

Step-by-step explanation

The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.

Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours

Since they worked a total of 7 days, hence:

x + y = 7     (1)

Also, they flew for 24 hours hence:

4x + 2y = 24   (2)

Solving equations 1 and 2 simultaneously gives:

x = 5, y = 2

Therefore they fly 4 hours for 5 days and 2 hours for 2 days.

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Answer:

y=3/4x+2

Step-by-step explanation:

Idont know how to graph on brainly