A certain microscope is able to magnify an object up to 100,000 times its original size. In scientific notation, 100,000 is _____.

Answers

Answer 1

Answer:

Answer: In scientific notation, 100,000 is $1.0*10^5$

Step-by-step explanation:

We know that the scientific notation is a technique to describe a very large or a very small number in the product of a decimal form of number [generally between 1 and 10] and powers of ten.

The given number = 100,000

Here the number of zeroes = 5

Then, in scientific notation, 100,000 = $1.0*10^5$

Answer 2

Answer: shift 5 decimal places to the left, so the exponent for base 10 is 5. Therefore, the number in scientific notation is:
1.0 x 105

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Angle Q measures 30 degrees. If angle Q is rotated 15 degrees, what is the measure of angle Q'?

Answers

The measure of angle Q' is 45°.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

∠Q = 30°

∠Q is rotated 15°

This means,

∠Q = 30 + 15 = 45°

Thus,

The measure of angle Q' is 45°.

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30°
an angle has the same measurement no matter what direction you rotate it

Elvia is job shadowing for an internship. She is required to complete at least 48 hours of shadowing in her chosen career. Elvia can shadow for 2 hours on weekdays and 6 hours on weekends. Which graph represents the number of weekdays and weekends that Elvia can shadow to meet her requirements? A.) Picture 1
B.) Picture 2
C.) Picture 3
D.) Picture 4

Answers

The graph that represents the number of weekdays and weekends that Elvia can shadow to meet her requirements is A. Picture 1

How to graph the requirements ?

To graph this inequality, we would typically draw the line representing the equation 2x + 6y = 48 and then shade the region that satisfies the inequality $2x + 6y \geq 48$ .

Since Elvia is required to complete "at least" 48 hours, the line on the graph will be solid, not dotted, to indicate that the hours represented by the line are included in the solutions that meet the requirements.

The point the graph would cross the x - axis is:

2 x + 6 ( 0 ) ≥ 48

x = 48 / 2

x = 24

The point the graph would cross the y - axis is:

2 ( 0 ) + 6 y ≥ 48

y = 48 / 6

y = 8

The correct graph is therefore Picture 1 which has the line as solid and the intercepts as x = 24 and y = 8 .

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The Answer is A.)

A picture of my answer

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?

Answers

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. the top of The ladder reach up to 9.2 feet high approximately

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Ladder = 10 foot

Bottom of ladder = 4 feet away from the bottom of tree

H² = A² + B²

10² = A² + 4²

A = 9.16

Therefore, the top of the ladder reach upto 9.2 feet high.

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Answer:

i took this quiz and the right answer is 9.2 feet good luck

Step-by-step explanation:

There are only blue yellow and green cubes is a bag. There are three times as many blue cubes as yellow cubes. There are five times as many green cubes as blue cubes. I take out a random cube from the bag, what is the probability that I take out a yellow cube?

Answers

Let the number of yellow cubes be x

Yellow Cubes = x

Blue Cubes = 3x

Green = 5 (3x) = 15x

Ratio : Yellow : Blue : Green = 1 : 3 : 15

P(Yellow) = 1/19

Answer: 1/19

Rex's puppy is 5 years younger than his other dog. If the other dog is x years old, what is an expression for the puppy's age?

Answers

The other dog's age is "x". Rex's puppy is 5 years less than "x". SO...
x-5.

Understand?

X -- 5=.
X is the variable.
-- is the operation.
5 is the puppy's age

Which of the following statements have the same result? Explain each step in solving each one.f(1) when f(x) = 5x + 1
f−1(3) when f(x) = 2x plus 3, all over 5
3y − 7 = y + 5

Answers

$f(x) = 5x + 1\n\nsubtitute\ x = 1\ to\ the\ equation\n\nf(1) = 5\cdot1 + 1 = 5 + 1 = 6\n----------------------\nf(x)=(2x+3)/(5)\to y=(2x+3)/(5)\ \ \ \ |multiply\ both\ sides\ by\ 5\n\n5y=2x+3\ \ \ \ |subtract\ 3\ from\ both\ sides\n\n2x=5y-3\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\nx=(5y-3)/(2)\n\nf^(-1)(x)=(5\cdot(-1)-3)/(2)=(-5-3)/(2)=(-8)/(2)=-4\n---------------------\n3y-7=y+5\ \ \ |add\ 7\ to\ both\ sides\n3y=y+12\ \ \ \ |subtract\ y\ from\ both\ sides\n2y=12\ \ \ \ |divide\ both\ sides\ by\ 2\ny=6$

Answer: f(1) when f(x) = 5x + 1 and 3y - 7 = y + 5

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