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3 years ago

Hey can you please help me posted picture of question

Mathematics

1 answer:

sasho [114]3 years ago

7 0

The correct answer is option D.

F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.

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Mike can stitch 7 shirts in 42 hours. he can stitch 1 shirt in how many hours, and in 1 hour he can stitch how much of a shirt.

podryga [215]

Answer:

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch $\frac{1}{6}$ (0.167) shirts.

Step-by-step explanation:

Mike can stitch 7 shirts in 42 hours

to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.

He can stitch 1 shirt in = $\frac{42}{7}$ = 6 hours

Now we calculate the work done in one hour.

He can stitch in 1 hour = $\frac{1}{6}$ shirts or 0.167 shirts

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch $\frac{1}{6}$ shirts.

5 0

3 years ago

F/13 = 6.2 what is the value of f

nekit [7.7K]

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

$\displaystyle\frac{a}{26}=17.9$

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

$\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4$

Therefore, we can apply this same technique to the equation $\frac{f}{13}=6.2.$

$\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}$

Therefore, the value of f is 80.6.

5 0

3 years ago

Read 2 more answers

One side of a rectangle is 3 times the length of another side. The difference in their lengths is 10 feet

elena55 [62]

Answer:

5 feet & 15 feet

Step-by-step explanation:

The question is to find the lengths of 2 sides of the rectangle.

Solution:

Let shorter side be "x"

Let longer side be "y"

From the question, we can write:

y = 3x

also

y - x = 10

Now, putting the first on second equation, we get:

y - x = 10

3x - x = 10

2x = 10

x = 10/2 = 5

Now, y = 3x, y = 3(5) = 15

So we can say the lengths of 2 sides of the rectangle is 5 feet & 15 feet

4 0

3 years ago

Find the derivative of ln(cosx²).

RoseWind [281]

Answer:

$\displaystyle \frac{dy}{dx} = -2x \tan (x^2)$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \ln (\cos x^2)$

Step 2: Differentiate

Logarithmic Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}$
Trigonometric Differentiation [Derivative Rule - Chain Rule]: $\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}$
Basic Power Rule: $\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}$
Rewrite [Trigonometric Identities]: $\displaystyle y' = -2x \tan (x^2)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

8 0

3 years ago

EASY QUESTION

Ostrovityanka [42]

The correct answer would be D, the median 86.5.

In this set of data most of the values are in the 80's or 90's. There is only 1 number that is outside of this range, that is the value 0. It is an outlier.

When we have an outlier, the median generally gives us the better measure of central tendency.

6 0

3 years ago