A clerical worker takes 3 times as long to finish a job as it does an executive secretary. Working​ together, it takes them 4 hr to finish the job. How long would it take the clerical​ worker, working​ alone, to finish the​ job?

Answer:

she has 13 dollars left

Step-by-step explanation:

simple math of subtraction. 45 - 32 = 13

13 goes into her account after paying her debt to the bank

Answer:

slope = 2/3

Step-by-step explanation:

Answer:

25 ounces of water

Answer:

4 = [tex]\sqrt{15[/tex]

Step-by-step explanation:

Answer:

[tex]g(x) = \frac{6}{5}x + 8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 6x + 8[/tex]

[tex]k = 5[/tex] --- horizontal stretch factor

Required

Find g(x)

When a function is stretched horizontally by k, the resulting function will be:

Rule: [tex]g(x) = f(\frac{1}{k}x)[/tex]

So, we have:

[tex]g(x) = f(\frac{1}{5}x)[/tex]

Solve for: [tex]f(\frac{1}{5}x)[/tex]

[tex]f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8[/tex]

[tex]f(\frac{1}{5}x) = \frac{6}{5}x + 8[/tex]

Recall that:

[tex]g(x) = f(\frac{1}{5}x)[/tex]

[tex]g(x) = \frac{6}{5}x + 8[/tex]

Answer:

f(1/5x) = 6 ^1/5x  +8

Step-by-step explanation:

A horizontal stretch by a factor of 5 means that the input, or x, is multiplied by : 1/5

Answer:

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Answer:

48 in³

Step-by-step explanation:

volume=length*breadth*height

=12*2*2

The perimeter of a triangle is (x+10)/(x+3) units.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The sides of given triangle are 2/(x-3), (x²-21)/(x²-9) and 5/(x+3).

Perimeter = 2/(x-3) + (x²-21)/(x²-9) + 5/(x+3)

= 2(x+3)/(x²-9) + (x²-21)/(x²-9) + 5(x-3)/(x²-9)

= (2x+6+x²-21+5x-15)/(x²-9)

= (x²+7x-30)/(x²-9)

= (x²+10x-3x-30)/(x²-9)

= (x(x+10)-3(x+10)/((x-3)(x+3))

= ((x+10)(x-3))/((x-3)(x+3))

= (x+10)/(x+3)

Therefore, the perimeter of a triangle is (x+10)/(x+3) units.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

Answer:

-1/2

Step-by-step explanation:

[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]

Using the formula  [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

[tex]\frac{-4-1}{0-(-10)}[/tex]  

Simplifly

[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]

Answer:

4

Step-by-step explanation:

The maximum height should be approximately 50.37 feet

Answer:

last one

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Pythagorean Theorem

Answer:

6

Step-by-step explanation:

the 2 shortest legs squared and added together is the same as the longest leg squared

100-64=36 ([tex]10^{2}[/tex]-[tex]8^{2}[/tex]=36)

[tex]\sqrt{36}[/tex] is 6 (36÷6=6)

the equations are in parentheses and bolded, italicized, and underlined

hope this helps

Answer:

pretty simple, you should get 1824

Step-by-step explanation:

first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help

Answer:

308 feet ^3

Step-by-step explanation:

Volume of a cylinder: V=πr^2h

Substituting radius = 7 and height = 2:

V = π (7)^2 (2) = 307.88 ~= 308 feet ^3

Answer:

2

Step-by-step explanation:

It’s not real

Answer:

6 (square root )432 (option 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

⁶√(432)

Answer:

120 pounds I think

Step-by-step explanation:

Answer:

120 pounds

Step-by-step explanation:

[tex]\frac{15}{45}[/tex] = [tex]\frac{40}{x}[/tex] so then you would cross multiply : 15x=40 times 45

                                          and then solve: 15x= 1800

                                                                         x= 120

Answer:

What is a life cap?

A life cap, or lifetime cap or rate cap, is the maximum amount that a borrower’s interest rate can increase over the term of the loan. The life cap represents either a total absolute rate or percentage change in the rate.

Deeper definition

Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.

Life caps limit how much interest the lender can charge over the term of the entire term. Usually expressed as an absolute percentage, or a change in percentage, life caps may differ between lenders but should be spelled out in the loan agreement.

Lifetime caps represent the highest rate at which interest can be charged. However, ARM interest rates can actually decrease after the fixed-interest period. Additionally, lifetime caps don’t affect other costslike transaction and late fees, which are factored along with the interest rate into the annual percentage rate (APR).

Wondering how a life cap will affect your payments? Use Bankrate’s mortgage calculator to find out how much you’ll owe.

Life cap example

James acquired a loan from a bank with 7 percent as the initial interest rate. The bank allows adjustments every three months, but has a life cap of 3 percent. Therefore, the maximum interest rate Jack will ever have to pay is 10 percent.

There you go

Answer: A) A limit on how much an ARM's interest rate can change over the

life of a mortgage.

Step-by-step explanation: took the quiz.

Answer:

Yes this is a statistical question because of how  they want to measure the tress to find out how tall are all of them and then to find out which is the tallest.

Answer:

442

Step-by-step explanation:

625-183=442

The more miles he have to drive is 442miles.

We have given that,Jon is taking a 625 mile trip.On the first day, he drove 183 miles.

We have to find the how many more miles does he have to drive.

Total distace mile drove =mile drove first day+Remaining drove in miles

So we can write it as,

Total distance  miles-Miles drove first day= Remaining miles

Total distance=625

first day distance=183

Remaining distance

=625-183

=442

Therefore the remaining distance is 442miles.

To learn more about the distance visit:

https://brainly.com/question/23848540

Answer:

its 5/6

Step-by-step explanation:

we just group things around and we have this

36 m^2 - 60 m = -25

Alternate forms:

12 m (3 m - 5) = -25

36 m^2 - 60 m + 25 = 0

Solution:

m = 5/6

Answer:

constant term= 8

exponent of the third term= 1

Step-by-step explanation:

the constant is the term that does not have a variable/letter attached to it...that would be positive 8

the third term is 3y, but there is an "understood" exponent of 1 there...it's just useless to say [tex]3y^{1}[/tex]

Answer:

Angle BAC= Angle DBC ( vertically opposite angels are equal)

Therefore, Angle DBC = 32 degree

Step-by-step explanation:

I hope it is correct.

Step-by-step explanation:

6x + 3x = 180

9x = 180

x = 20

m<SVW= 3(20) = 60 degrees