If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?

Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The

Vinil7 [7]

the units of measurement for the composite function s(w(h)) is $\frac{Signs}{weeks}$ . Correct option A) .

<u>Step-by-step explanation:</u>

Here we have , Mary paints wooden signs and sells them at craft fairs. The function s(t) approximates how many signs Mary paints per hour. The function w(h) represents how many hours per week Mary spends painting the wooden signs. We need to find What are the units of measurement for the composite function s(w(h)) . Let's find out:

Basically we have two functions as ,

s(t) : how many signs Mary paints per hour

⇒ $\frac{Signs}{hour}$

w(h) : how many hours per week Mary spends painting the wooden signs

⇒ $\frac{hours}{week}$

In function composition, if we have two function f(x) and g(x) then

(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. So , In s(w(h)) :

⇒ $\frac{Signs}{hour}(\frac{hours}{week})$

⇒ $\frac{Signs}{weeks}$

Therefore , the units of measurement for the composite function s(w(h)) is $\frac{Signs}{weeks}$ . Correct option A) .

4 0

3 years ago

Read 2 more answers

A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is

erastovalidia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Formula

Triangle's Area = 1/2 bh/2

Trapezoid's area = 1/2 (b1 + b2)h

Parallelogram's area = bh

Rectangle's area = bh

Considering the formulas, we can conclude that:

a) The first choice is true, both formulas have 1/2 in.

b) The second choice is also true, both equations are the same

c) The third choice is incorrect

d) This choice is correct, the bases are added,

e) This choice is incorrect, the sides are not added.

3 0

3 years ago

Read 2 more answers

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x

julsineya [31]

The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y). What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08. Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3

3 0

3 years ago

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plant

VladimirAG [237]

Answer:

a) $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) She need is $\frac{43}{12}$ kg and she don't have enough to left.

Step-by-step explanation:

Given : On Sunday, Sheldon bought $4\frac{1}{2}$ kg of plant food. He used $1\frac{2}{3}$ kg on his strawberry plants and used $\frac{1}{4}$ kg for his tomato plants.

To find :

a) How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Solution :

Sheldon bought plant food $4\frac{1}{2}=\frac{9}{2}$ kg.

He used strawberry plants $1\frac{2}{3}=\frac{5}{3}$ kg.

He used tomato plants $\frac{1}{4}$ kg

Kilograms of plant food did Sheldon have left is given by,

$L=\frac{9}{2}-(\frac{5}{3}+\frac{1}{4})$

$L=\frac{9}{2}-\frac{23}{12}$

$L=\frac{54-23}{12}$

$L=\frac{31}{12}$

$L=2\frac{7}{12}$

Therefore, $2\frac{7}{12}$ kg of plant food did Sheldon have left.

b) Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so?

Solution :

Sheldon wants to feed his strawberry plants 2 more times.

i.e. Strawberry plants used is $2(\frac{5}{3})=\frac{10}{3}$ kg.

His tomato plants one more time i.e. $\frac{1}{4}$ kg.

Total plant she need is $\frac{10}{3}+\frac{1}{4}=\frac{43}{12}$

As $\frac{31}{12}$

No she don't have enough to left.

4 0

3 years ago

1.What is the core characteristic that defines a zero-based budget?

lakkis [162]

Answer:

1. You account for every dollar you make to where your budget shows you have $0

2. She will have $125 leftover to budget out as she sees fit

3. If she does not account for it she may over spend or think she has extra money

4. I would put it in savings

5. No this is not what it means. This means that your paycheck will be able to cover your expenses.

6. You should put extra money in savings. You never know what will occur and savings can always help.

Step-by-step explanation:

7 0

3 years ago