Which number is not in scientific notation?

a
6 ⋅ 1025

b
2.01 ⋅ 10−2

c
1.3 ⋅ 10−4

d
0.5 ⋅ 103

Answer:

Circumference ≈ 50.27

Area ≈ 201.06

Step-by-step explanation:

The circumference of a circle is \(2\pi r\) while the area of the circle \(\pi r^{2}\)

Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × \(\pi\) × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be \(\pi\) × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)

Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

x = 15 , y = 8

Step-by-step explanation:

Since the triangles are similar, then ratio of corresponding sides are in proportion, that is

\(\frac{x}{45}\) = \(\frac{17}{51}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

---------------------------------------------

Similarly

\(\frac{y}{24}\) = \(\frac{1}{3}\) , so

3y = 24 ( divide both sides by 3 )

y = 8

In order to express a small number (less than zero) in scientific notation we just have to move the decimal point until we reach the last digit, the exponent we use must be a negative number and it represents the number of times we moved the dot.

In this case, we initially had the number 0.216, as you can see, we have three digits on the right of the point, then we must move the dot 3 times, then the representation in the scientific notation of this number is:

0.216 = 216×10⁻³

Answer: 168 pounds

Step-by-step explanation:

So, if 2 boxes is 3 oz, the one box is 1.5 oz. We then take 1.5 and multiply it by 112, because that's how many boxes are in a case. After multiplying 112 x 1.5, we get 168 pounds.

Answer:

1/4+5/8+1/2=7/14 so the answer is 7/14

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

Mixed fraction:

3 2/5 = 17/5

4 4/5 = 24/5

Miles she ran:

17/5 + 24/5

= 41/5 miles or 8.2 miles

⇒Group the like terms together first.

\(5t-3t=-5+3\)

⇒When a term in the equation changes position from left to right or from left to right ,it will also change its sign .

⇒The second step is to simplify like terms.

\(2t=-2\)

⇒In the last step you will have to divide all the terms of the equation by the coefficient of the unknown variable.

\(\frac{2t}{2} =\frac{-2}{2} \\t=-1\)

∴ t = -1 is the solution.

The answer is:

Work/explanation:

Begin by subtracting 3t on each side:

\(\sf{5t-3=3t-5}\)

\(\sf{5t-3t-3=-5}\)

Simplify the left side

\(\sf{2t-3=-5}\)

Add 3 on each side

\(\sf{2t=-5+3}\)

\(\sf{2t=-2}\)

Divide each side by 2

\(\sf{t=-1}\)

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

Answer:

a₂₆ = 248

Step-by-step explanation:

to find the 26th term substitute n = 26 into the explicit formula

a₂₆ = 14 + 9(26) = 14 + 234 = 248

Answer:

Wilma will pay $23.44 total.

Step-by-step explanation:

Cost of sweater = (+) $24.49

Discount = (-) $5

Shipping cost = (+) $3.95

Solve:

24.49 - 5 = 19.49

19.49 + 3.95 = 23.44

Wilma will pay $23.44 total.

Answer:

If Darren's taxable income is $27,481 and he is the head of household, he will be exempted from tax deductions. If he has already paid $3,847 in federal taxes, he will receive an equivalent amount in return if his tax deduction exceeds his collectible tax. Therefore, his money at the end of the year will total to $31,328.  

Step-by-step explanation:

Answer:

Step-by-step explanation:

he will receive a refund of 346 dollars

i just took the test

Answer:

8 miles

Step-by-step explanation:

40 miles in five hours -> x miles in 1 hour

40/5=8

Quin covers a distance of 8 miles in an hour.

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

23/26 = 0.8846=0.88 [ to the nearest hundredth]

Step-by-step explanation:

4 sec a-5 = 0; seca=1/cos a

Therefore;

4 sec a-5 = 0=>4/cos a - 5 = 0

Multiplying through by cos a, we have;

4-5cosa= 0=>4= 5cosa

4/5 = cosa

a = cos^{-1}0.8

=36.88

Alternatively Cos a =4/5

Sina = 3/5; {note Cos a = adjacent / hypothesis and from Pythagoras rule we can derive the value of the opposite side which is;

5^2 -4^2 = 25-16 = 9; hence the opposite side is √9 = 3;sin a = opposite/ hypothenus = 3/5}

Substituting the value of Cosa and Sina into the expression below;

2 cos a + 5 sin a ÷ 2 sin a + 5 cos a​

We have ;

[2×4/5 + 5× 3/5 ]/ [2 × 3/5 + 5× 4/5]

[8/5 + 15/5 ]/ [6/5 + 20/5]

[23/5]/[26/5] = 23/5 × 5/26 = 23/26

=

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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The volume of the top section of the figure is 16 cm³.

Given is the solid cuboidal figure as shown in the image.

The volume of the top cuboidal figure will be -

V = L x B x H

V = 2 x 2 x 4

V = 4 x 4

V = 16 cm³

Therefore, the volume of the top section of the figure is 16 cm³.

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Answer:

48 units^2

Step-by-step explanation:

So i split the arrow to make it just one rectangle and one triangle

Area of rectangle

= 4×10

= 40 units^2

Area of triangle

= (12-10)×8×1/2

= 2×4

= 8 units^2

Total area of the arrow

= 40+8

= 48 units^2

Answer:

-4/3

Step-by-step explanation:

In y=mx+b, m represents the slope. In the second line, we are multiplying x by (3/4). This represents the slope of the second line.

To find the slope of a perpendicular line, we take the negative reciprocal of the current slope. In the first line, m represents the slope. The reciprocal of 3/4 is 4/3, and the negative reciprocal of 3/4 is -4/3. This is the value of m

Answer:

1/49

Step-by-step explanation:

There are 7 possible outcomes, so the probability that the spinner lands on 3 twice is (1/7) * (1/7) = 1/49

Proportionately, the number of cups of broccoli needed for a pound of beef is B. 1 and ½ cups of broccoli per beef.

Proportion refers to the numerical quantity or relationship of one variable to another, which are set equal to each other.

Proportions, like ratios, use fractional values because they show the quantity of one variable in another.

We state proportions in fractions, decimals, or percentages.

The proportion of 3/4 pound of beef to broccoli = 9/8 cups of broccoli

3/4 pound = 0.75 pound

9/8 cups = 1.125 cups

The number of cups of broccoli for a pound of beef = 1.5 cups (1.125/0.75)

1.5 cups = 1½ cups

Thus, given the proportional relationship presented, for a pound of beef, Tyler would need 1½ cups of broccoli.

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