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2 years ago

What is the true solution to In 20+ In 5= 2 In x? x=5. A X= 10 b X=50 c X= 100 d

Mathematics

1 answer:

lions [1.4K]2 years ago

4 0

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

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Rhonda has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each ty

Novay_Z [31]

Answer: nickels = 13, dimes = 7, quarters = 14

Step-by-step explanation:

First, set up the equations for each coin:

$\begin {array}{c|c|c|l}\underline{\quad Type\quad }&\underline{Value}&\underline{Quantity}&\underline{\qquad \qquad \qquad Equation\qquad }\\ Nickel& \$0.05&6+d&0.05(6+d) = 0.30 + 0.05d\\Dime& \$0.10&d&\qquad 0.10(d)=0.10d\\Quarter& \$0.25&2d&\qquad 0.25(2d)=0.50d\\\end{array}$

Next, the sum of the coins is $4.85 so substitute and solve for the variable:

Nickels + Dimes + Quarters = Sum

(0.30 + 0.05d) + 0.10d + 0.50d = 4.85

0.30 + 0.65d = 4.85

0.65d = 4.55

d = 7

Lastly, plug the d-value into the quantity equation for the nickels and quarters to find their quantity.

nickels: 6 + d = 6 + (7) = 13

quarters: 2d = 2(7) = 14

6 0

2 years ago

A circle has a diameter of 40 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi .

Lesechka [4]

Answer:

126 inches

Step-by-step explanation:

C = 2π·r = π·d = 3.14×40in = 125.6 inches ≈ 126 inches

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2 years ago

Mr. Waugh paid $42.00 for 12 gallons of gasoline. Ms. Peters paid $31.50 for 9 gallons of gasoline. What was theprice per gallon

dmitriy555 [2]

Answer:

$3.50 per pound

Step-by-step explanation:

Divide 42 by 12 or 31.5 by 9 and you get 3.5. In money, that is $3.50

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2 years ago

Read 2 more answers

What is cos (x)? 48/58 58/48 26/58 58/26

Evgen [1.6K]

We have to calculate the length of the missing side.
Use the Pythagorean theorem:

$a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}$

$\cos x=\dfrac{6\sqrt{65}}{58}=\dfrac{3\sqrt{65}}{29}$

I think. Your answers to choice are wrong.

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2 years ago

In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at

givi [52]

The value of the derivative at the maximum or minimum for a continuous function must be zero.

<h3>What happens with the derivative at the maximum of minimum?</h3>

So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.

Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).

If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.

So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/24701109

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1 year ago