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Which expression is equivalent to the given expression?

Scorpion4ik [409]

None of those is. The expression 4 In x + In 3 – In r

is equivalent to the epression <em>ln( 3x⁴ / r)</em> .

3 0

3 years ago

What function is a quadratic function

Nikolay [14]

The answer is d or the last one

5 0

3 years ago

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A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a

3241004551 [841]

The length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears $100$ times large than its original size.

It is given that the length of a insect is $0.095$ centimeter.

This question is based on the concept of multiplication of decimals.

Consider the length of the insect as $x\text{ cm}$ .

Since, the length of insect is $0.095$ centimeter so, trhe value of $x$ is $0.095$ .

As per the question the size of the final image is $100$ times large as the original size so, the size of final image is calculated as follows:

$\boxed{S=x\times 100}$

Substitute $0.095$ for $x$ in the above equation.

$\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}$

From the above calculation it is concluded that the length of the insect in the final image is $9.5\text{ centimeter}$ .

Therefore, the length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

5 0

4 years ago

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Tony spent $50.35 on office supplies. He bought markers for $3.80 each and an organizer for $19.95. How many markers did tony bu

Mila [183]

Answer:

8

Step-by-step explanation:

Take the total, 50.35, and subtract 19.95:

50.35 - 19.95 = 30.40

Now divide 30.40 by 3.80:

(30.4)/(3.8) = 8

Therefore, Tony bought 8 markers.

5 0

3 years ago

Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each

Ludmilka [50]

We can solve with a system of equations, and use c for the amount of cans of soup and f for the amount of frozen dinners.

The first equation will represent the amount of sodium. We know the (sodium in one can times the number of cans) plus (sodium in one frozen dinner times the number of dinners) is the expression for the total sodium. We also know the total sodium is 4450, so:

250c + 550f = 4450

The second equation is to find how many of each item are purchased:

c + f = 13

Solve for c in the second equation:

c = 13 - f

Plug this in for c in the first equation:

250(13-f) + 550f = 4450

3250 - 250f + 550f = 4450

300f = 1200

f = 4

Now plug the value for f into the second equation:

c + 4 = 13

c = 9

The answer is 9 cans of soups and 4 frozen dinners.

6 0

3 years ago

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