Which of the following expressions is written in scientific notation?a)73.410^5
b)0.0910^7
c)8010^3
d)4.2210^(–3)

what is exactly scientific notation?

Answers

Answer 1

Answer: $a\cdot10^n\ is\ scientific\ notation\ if\ a\in\left<1;\ 10\right)\n\na)\ 73.4\cdot10^5-NO-(73.4 > 10)\n\nb)\ 0.09\cdot10^7-NO-(0.09<1)\n\nc)\ 80\cdot10^3-NO-(80>10)\n\nd)\ 4.22\cdot10^(-3)-YES$

Answer 2

Answer:

Lesson 2: Scientific Notation quick check

1. D) 4.22x10^-3

2. A) 7.08x10^-8

3. A) 6.1x10^-7

4. D) 1.25x10^-4

5.C) Doubling n results in doubling the value of the expression.

6. B) 2.45x10^5

7.A) 3x10^3

Please use this for double checking your answers!

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Find co-ordinates of (2,3) after it is rotated 240 degrees clockwise about the origin?

Answers

$x'=x\cos\theta-y\sin\theta\ny'=x\sin\theta+y\cos\theta\n\n x'=2\cdot\cos 240-3\cdot\sin240\n x'=2\cdot(-(1)/(2))-3\cdot(-(\sqrt3)/(2))\n x'=-1+(3\sqrt3)/(2)\n y'=2\cdot\sin 240+3\cdot\cos 240\n y'=2\cdot(-(\sqrt3)/(2))+3\cdot(-(1)/(2))\n y'=-\sqrt3-(3)/(2)\n\n (-1+(3\sqrt3)/(2),-\sqrt3-(3)/(2))$

Which is greater 4/6 or 1/6

Answers

The answer for your question is 4/6 is greater then 1/6 because if you do simplify 4/6 which will give you 2/3 then if you divide that you will you get .666 and if you simplify 1/6 you would likely get .16. So yeah 4/6 is greater then 1/6.

Hope this helps:)

4/6 is greater than 1/6

Which is the solution of the quadratic equation (4y – 3)2 = 72?y = and y =
y = and y =
y = and y =
y = and y =

Answers

To solve this quadratic equation, take the square root of both sides.
Since the left side is a perfect square, it will just be reduced to:
4y - 3
For the constant on the right side, the positive and negative roots must be considered.
√72 = ±6√2

Equating the two:
4y - 3 = ±6√2
4y = 3 ± 6√2
y = (3 ± 6√2)/4

y = (3 + 6√2) / 4 = 2.87
and
y = (3 - 6√2) / 4 = -1.37

The solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Solution to quadratic equations

Quadratic equations are equation that has a degree of 2. Given the quadratic equation as shown:
(4y – 3)² = 72

Take the square root of both sides

√(4y – 3)² = ±√72
4y -3 = ±√72
4y - 3 = ±6√2

4y = ±6√2 + 3

y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Hence the solution of the quadratic equation (4y – 3)² = 72 are y = (6√2 + 3)/4 and y = (-6√2 + 3)/4

Learn more on quadratic equation here: brainly.com/question/17987697

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Which expressions are equivalent to the one below. Check all that apply. Log9 1 * log9 81

Answers

The expression Log9 1 * log9 81 is equivalent to 0.

Given
Log9 1 * log9 81

What is simplification?

In mathematics to operate and interpret the function to make function simple or more understandable known as simplify and the phenomenon is called simplification.

Here,

$=log_(9) 1 *log_(9)81\n=0* log_(9)9^2\n=0*2log_(9)9\n=0$

Thus, the expression Log9 1 * log9 81 is equivalent to 0.

Learn more about simplification here:
brainly.com/question/12501526

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Log9 1 = 0
Log9 81 = 2
0 * 2 = 0

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$5x+3 > 4x+7$

solve for x

Group terms that contain the same variable, and move the constant to the opposite side of the inequality

$5x-4x > 7-3$

$x> 4$

The solution is the interval-------> (4,∞)

All real numbers greater than $4$

The solution is the shaded area to the right of the vertical dashed line

see the attached figure

Let's solve your inequality step-by-step.

5x+3>4x+7

Step 1: Subtract 4x from both sides.

5x+3−4x>4x+7−4x

x+3>7

Step 2: Subtract 3 from both sides.

x+3−3>7−3

x>4

Answer:

x>4

Find the constant proportionality for the ratio 2/5

Answers

Answer:

constant of proportionality is $(2)/(5)$

Step-by-step explanation:

The direct proportionality says that:

$y \propto x$

then the equation is in the form of:

$y = kx$ .......[1]

where, k is the constant of proportionality.

As per the statement:

Given the ratio 2/5

i.e,

$(y)/(x) = (2)/(5)$

then using [1] we have;

$(y)/(x)=k$

⇒ $(2)/(5) = k$

$k= (2)/(5)$

Therefore, the constant of proportionality for the ratio of 2/5 is; $(2)/(5)$

The "constant of proportionality" is the value that relates the two amountsExample: you are paid $20 an hour (continued)The constant of proportionality is 20 because:Earnings = 20 × Hours worked

This can be written: y = kx

Where k is the constant of proportionality

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