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2 months ago

7. You and a friend are paid $38.25 for doing yard

Mathematics

2 answers:

Svet_ta [12.7K]2 months ago

8 0

Answer:

Step-by-step explanation: your friend would receive $17

and you would collect $21.25

I hope this helps!;))))

lawyer [12.5K]2 months ago

3 0

Answer:

The earnings for my friend and me will be $21.25 and $17 respectively.

Step-by-step explanation:

The total amount earned by my friend and me is = $38.25

The work I did = 2.5 hours

The work my friend did = 2 hours

Thus, the ratio between us is = $\frac{2.5}{2}=5:4$

We need to allocate the total earnings according to that ratio.

My share = 38.25 × $\frac{2.5}{2+2.5}$

= 38.25 × $\frac{2.5}{4.5}$

= 38.25 × $\frac{5}{9}$

= $21.25

Subsequently, my friend's share = (38.25 - 21.25) = $17

Thus, my friend and I will earn $21.25 and $17 respectively.

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cynara has a bag of red, blue, and black pens. She randomly selects a pen, records the color, and puts it back in the bag, She d

lawyer [12517]

Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:

Red pens: 6 out of 30, which simplifies to 1/5

Blue pens: 10 out of 30, which simplifies to 1/3

Black pens: 14 out of 30, which simplifies to 7/15

To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:

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3 months ago

Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".

zzz [12365]

The function can be expressed as:
f(x) = log(-20x + 12√x)
To ascertain the maximum value, differentiate the equation with respect to x and set the derivative to zero. The procedure unfolds as follows.

The differentiation formula is:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
From which we derive x = (6/20)² = 9/100

Therefore,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553

The function's maximum value is 0.2553.

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2 months ago

Suppose sin u= x and u is between 0 and pi/2. what is sec u? ...?

Leona [12618]

The question seems to require answer choices, which are provided below:

a) sqrt(1 - x^2)
b) x / sqrt(1 - x^2)
c) sqrt(1 - x^2) / x
d) 1 / sqrt(1 - x^2)

The correct selection is c) sqrt(1 - x^2) / x.

This is because cos u equals sqrt(1 - sin² u), which is sqrt(1 - x²), and cot u is defined as cos u divided by sin u.

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3 months ago