A law firm hires the same number of lawyers every year. At the end of 12 years, the firm has hired 48 lawyers. How many lawyers has the firm hired in the last 5 years? ​

Answer:

y = 50x + 40

Step-by-step explanation:

2 points on the graph:

(0, 40) and (2, 140)

Slope:

m=(y2-y1)/(x2-x1)

m=(140 - 40)/(2 - 0)

m=(100)/2

m= 50

Slope-intercept:

y - y1 = m(x - x1)

y - 40 = 50(x - 0)

y - 40 = 50x

y = 50x + 40

Answer:

(4x+2) +(3x+4)

Step-by-step explanation:

2(6x²+11+4)

(6x+3)+(3x+4)

12x²+16x+6x+8

12x²+22x+8

let me know if this helps guys my husband helped me with it he is good at math

Answer:

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

[tex]18y - 3x = -90[/tex]

Isolating y:

[tex]18y = 3x - 90[/tex]

[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]

Simplifying the fractions:

[tex]y = \frac{x}{6} - 5[/tex]

The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]

Answer:

2.25 Gallons.

Step-by-step explanation:

A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.

Multiply 18 pints by 0.125.

18 · 0.125 = 2.25

To Check Work:

Divide 2.25 by 0.125 to equal 18.

[tex]\frac{2.25}{0.125} = 18[/tex]

Divide 2.25 by 18 to equal 0.125.

[tex]\frac{2.25}{18} = 0.125[/tex]

Answer:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Step-by-step explanation:

Given

[tex](63.3\%,79.1\%)[/tex]

Required

Express in form of: [tex]p \± ME[/tex]

First, calculate the midpiont (p)

[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]

[tex]p = \frac{142.4\%}{2}[/tex]

[tex]p = 71.2\%[/tex]

The margin of error (ME) is:

[tex]ME =79.1\% - 71.2\%[/tex]

[tex]ME =7.9\%[/tex]

So, we have:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Answer:

x = 58

Step-by-step explanation:

Hope this helps

enjoy

Answer:

the answer is d because that is how much degrees it is

Step-by-step explanation:

Answer:

[tex](\frac{3\sqrt{3} }{2}(14)^2)*16[/tex]

[tex]=509.22+16[/tex]

[tex]8147.52m^3[/tex]

[tex]ANSWER:8147.50~m^3[/tex]

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hope it helps..

have a great day!!

Answer: it is the 4 one

Step-by-step explanation:

I have attached the answer, I hope this helps! :D (If the attachment doesn't work, the answer is the one in the bottom right corner)

Answer:

Q = I^2 R T

Step-by-step explanation:

What is the mathematical representation of joules law of heating

What is joules law of heating ??

Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.

Mathematically

Q = I^2 R T

Where,

Q indicates the amount of heat

I show electric current

R is the amount of electric resistance in the conductor

T denotes time

Answer:

42/100

Step-by-step explanation:

3/10=30/100

6/100+30/100+6/100= 6+30+6=42

42/100

Is 42/100 an awser if so it should be right?

3/4 up 3 over 4, its a positive slope

-49 is a rational number.

There are only 3 types of numbers that are irrational.

1.

2. Square roots that are not perfect squares (e.g. the suqare root of 5)

3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)

Hope this helps! Please mark me as brainliest!

Have a great day!

Answer:

maube 12

Step-by-step explanation:

i am not sure ..but try ur luck

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

Answer:

[tex]33 : 39 \equiv11 : 13[/tex]

Answer:

The area of the rectangle is 12

6x2=12

Answer:

16m 24m and 24m

Step-by-step explanation:

Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.

Answer:

C) 6t=c because you are trying to find c not the number of tables and no addition is needed.

Answer:

yes

Step-by-step explanation:

Answer:

Volume = 113.1 cubic cm

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]

Answer:45-67-3

Step-by-step explanation:

Answer:

6 faces

Step-by-step explanation:

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

Answer:

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Step-by-step explanation:

The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.

This means that the consumption after t years is given by the following differential equation:

[tex]\frac{dC}{dt} = kC[/tex]

In which k is the growth rate.

The solution is, applying separation of variables:

[tex]C(t) = C(0)e^{kt}[/tex]

In which C(0) is the initial consumption.

The town consumed 4.4 trillion British thermal units (BTUs) initially.

This means that [tex]C(0) = 4.4[/tex]

So

[tex]C(t) = C(0)e^{kt}[/tex]

[tex]C(t) = 4.4e^{kt}[/tex]

5.5 trillion BTUs annually after 5 years.

This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So

[tex]C(t) = 4.4e^{kt}[/tex]

[tex]5.5 = 4.4e^{5k}[/tex]

[tex]e^{5k} = \frac{5.5}{4.4}[/tex]

[tex]e^{5k} = 1.25[/tex]

[tex]\ln{e^{5k}} = \ln{1.25}[/tex]

[tex]5k = \ln{1.25}[/tex]

[tex]k = \frac{\ln{1.25}}{5}[/tex]

[tex]k = 0.0446[/tex]

So

[tex]C(t) = 4.4e^{0.0446t}[/tex]

After 9 years?

This is C(9). So

[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]

The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Answer:

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

[tex]n(t) = n(0)(1+r)^t[/tex]

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that [tex]n(5) = 2n(0)[/tex]

We use this to find 1 + r. So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]2n(0) = n(0)(1+r)^5[/tex]

[tex](1+r)^5 = 2[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.1487[/tex]

So

[tex]n(t) = n(0)(1+r)^t[/tex]

[tex]n(t) = n(0)(1.1487)^t[/tex]

Initially has 45 bacteria

This means that [tex]n(0) = 45[/tex]. So

[tex]n(t) = n(0)(1.1487)^t[/tex]

[tex]n(t) = 46(1.1487)^t[/tex]

The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]