What MUST be true when adding and subtracting numbers in scientific notation?

Answers

Answer 1

This might help you with your question 2 numbers inside of scientific notation have to be manipulated in order for their own foundations to have the same exact exponent

Answer 2

To be added or subtracted, two numbers in scientific notation must be manipulated so that their bases have the same exponent--this will ensure that corresponding digits in their coefficients have the same place value.


Related Questions

*ANSWER ASAP* What is the radius of a circle if its center is (-3,-2) and one point on the circle is (5,-2)?

Answers

Answer:

8

Step-by-step explanation:

h=-3 , k=-2, x=5, y=-2

(x-h)^2+(y-k)^2 = r^2

(5-(-3))^2+(-2-(-2))^2

64+0=r^2

r=√64=8

which expression is equivalent to n + n - 0.18n?
A. 1.18n
B. 1.82n
C. n- 0.18
D. 2n - 0.82
You'll get 10 pts!!!!!

Answers

n + n - 0.18n

We can rewrite it as

2n - 0.18n

And if we solve it

(2 - 0.18)n = 1.82n

So the equivalente expression is B.

Answer:

c

Step-by-step explanation:

i got a 100!

Amir can seal a driveway in four hours working together he and Louis conceal it in 2.3 hours how long would it take Louis to seal it working alone

Answers

Answer:

Louis can seal the driveway in 5.41 hours.

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{x}[/tex] = [tex]\frac{1}{2.3}[/tex]                  4 × 1x × 2.3 = 9.2x

9.2x([tex]\frac{1}{4}[/tex] + [tex]\frac{1}{x}[/tex] = [tex]\frac{1}{2.3}[/tex])

2.3x + 9.2 = 4x

9.2 = 1.7x

x= 5.411764706

For 4 h, the temperature in Victoria fell by 2°C each hour. What was the total change in temperature?

Answers

Answer:

The total change was 8*C

Step-by-step explanation:

If the unit rate is 2/1  ~2 degrees per every 1 hour~ than you would need to multiply 2 by the amount of hours given to get the total change in temperature, which would be 8*C.

Leia cuts congruent triangular patches with an area of 15 square centimeters from a rectangular piece of fabric that is 15 centimeters long and 9 centimeters wide. How many of the patches can Leia cut from 31 pieces of the fabric?

Answers

Answer:

279 patches can be made.

Step-by-step explanation:

Evaluate the total area of the rectangular piece of fabric, therefore:

Area= l*w = 15*9=135

There are 31 pieces, so the total area is 135* 31 =4,185 square centimeters.

Evaluate the number of triangles that can be made dividing the total area by the area of 1 triangular piece, therefore:

n= 4,185/15=279

So the answer is 279 triangles can be made.

If a polynomial function f(x) has roots 3 and √7. what must also be a root of f(x)?​

Answers

Answer:

-√7

Step-by-step explanation:

radical roots always occur in pairs.

√7 is a root ,so -√7 should also be a root of polynomial f(x)

Answer:

- Square root of 7

Step-by-step explanation:

Radicals always come in pairs. Hope this helps!

: You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acre = 43,560 square feet) to build a house. How many acres are in this building lot and how many houses will the town allow you to build on this lot?

Answers

Answer:

1.074 acres are there in this building lot.

2 houses will be allowed to build on this lot.

Step-by-step explanation:

Dimensions of the building lot are 260 ft [tex]\times[/tex] 180 ft.

The building lot is rectangular in shape.

Area of the building lot (Length [tex]\times[/tex] Width) is:

[tex]260 \times 180 \\\Rightarrow 46800\ ft^2[/tex]

It is given that:

[tex]43,560\ ft^2 = 1\ acre\\1\ ft^2 = \dfrac{1}{43560\ acres}\\46800\ ft^2 = \dfrac{1}{43560} \times 46800\ acres\\\Rightarrow 1.074\ acres[/tex]

So, 1.074 acres are there in this building lot.

A house is build on [tex]\frac{1}{2}[/tex] acres and we have ~1 acre of land in the building lot.

So, town will allow to build 2 houses on this land.

Find y in terms of x for ln(y)=ln(x)+2

Answers

Answer:

y = e²x

Step-by-step explanation:

Using the rules of logarithms

log y - log x = log ([tex]\frac{y}{x}[/tex] )

[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

ln(y) = ln(x) + 2 ( subtract ln(x) from both sides )

ln(y) - ln(x) = 2

ln ([tex]\frac{y}{x}[/tex] ) = 2

[tex]\frac{y}{x}[/tex] = e² ( multiply both sides by x )

y = e²x

Can someone pls explain how to work this out, I know the answer is 32 but I just dont know how to work it out.
Giving brainliest answer to the 1st person​

Answers

Answer:

32

Step-by-step explanation:

You have to space out the cm and j by adding the subjectiful answer by the time of when c and j made m

Priya’s cat is pregnant with a litter of 5 kittens. Each kitten has a 30% chance of being



chocolate brown. Priya wants to know the probability that at least two of the kittens



will be chocolate brown.




To simulate this, Priya put 3 white cubes and 7 green cubes in a bag. For each trial,



Priya pulled out and returned a cube 5 times. Priya conducted 12 trials.

Answers

Answer:

30.87%

Step-by-step explanation:

Priya's simulation is fine, as 30% is represented by the 3 white cubes.

The more times the experiment is carried out, the closer it is to the theoretical probability, which is calculated as follows:

p (n = x) = nCx * p ^ x * q ^ (n-x)

We obtain that p = 0.3 and q = 1-0.3 = 0.7. also n = 5 and x = 2.

replacing we have:

p (5 = 2) = 5C2 * 0.3 ^ 2 * 0.7 ^ (5-2)

p (5 = 2) = 5! / (2! * 3!) * 0.03087

p (5 = 2) = 0.3087

which means that the probability is 30.87%, and the more the experiment is carried out, the closer it is to this probability.

Answer:

30.87%

Step-by-step explanation:

What 3 coins add up to 40
cents?​

Answers

Quarter, nickel, dime

Answer: quarter, dime,nickel

Step-by-step explanation:

You solve a brain teaser 0.75 of the time. describe the likeihood​

Answers

.75 is the same as 75 %, therefore the likelihood of you solving the brain teaser is 75% of the time. Hope that helped.

What do cosine and sine have in common

Answers

Answer:

they both involve the hypotenuse

Step-by-step explanation:

both has to do with trig and involves hypotenuse

A giant circular fair ride has a radius of 60m, with 12passenger pods spaced around the circumference at equal distances. How far is it directly from the sixth pod to the tenth pod?

Answers

Answer:

The distance between the 6th and 10th seat is approximately 126m

Step-by-step explanation:

First of all, we will need to calculate the circumference of the circular fair ride.

which the formula is  

[tex]2\pi r= 2 \times \pi \times 60 \\\\=377m[/tex]

The circumference of the circle is 377m

At this point, we will have to take note that the pods are equally spaced.

To get the distance between the sixth pod and the tenth pod, we will have to use the principle of fractions of a whole.

There are 12 seats in total, the distance between the 6th and tenth seat is 4 seats. Expressing this distance in terms of seats, as a fraction is 4/12 equally spaced seats.

This ratio can be related to the circumference of the circle as

[tex]= \frac{4}{12} \times377\\\\=125.66m \approx 126m[/tex]

Therefore, the distance between the 6th and 10th seat is approximately 126m

a square is inscribed In a circle with radius 6[tex] \sqrt{2} [/tex]
inches. what is the perimeter of the square in inches? help pls​

Answers

Answer:

48 in

Step-by-step explanation:

The diagonal of the inscribed square equals the diameter of the circle.

1. Calculate the diagonal of the square

d = 2r = 2 × 6√2 in =12√2 in

2. Calculate the side of the square

∆ACB is an isosceles right triangle.

We can use Pythagoras' Theorem to calculate the length of a side s.

[tex]\begin{array}{rcl}s^{2} + s^{2} & = & (12\sqrt{2})^{2}\\2s^{2} & = & 144 \times 2\\s^{2} & = & 144\\s & = & \text{12 in}\\\end{array}[/tex]

3. Calculate the perimeter of the square

P = 4s = 4 × 12 in = 48 in

The perimeter of the square is 48 in.

The perimeter of the square in inches is 48 square inches

The diameter of the circle is twice the given radius

Given the following:

radius = 6√2

diameter = 2(6√2)

diameter = 12√2

The diagonal of the cube inscribed will be equal to the diameter of the circle.

Next is to get the side length "l" of the square using the Pythagoras theorem. According to the theorem:

l²+l² = (12√2)²

2l² = 144(2)

l² = 288/2

Take the square root of both sides

l² = 144

l = √144

l = 12inches

Next is to get the perimeter of the square

Perimeter of the square = 4L

Perimeter of the square = 4(12)

Hence the perimeter of the square is 48 square inches

Learn more here: https://brainly.com/question/17182640

32.50 divided by 54 please answer it ASAP

Answers

Answer:

0.601851

Step-by-step explanation:

Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit.

fff represents the temperature in degrees Fahrenheit as a function of the temperature ccc in degrees Celsius.

f=32+1.8cf=32+1.8cf, equals, 32, plus, 1, point, 8, c

Water freezes at 000 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?

degrees Fahrenheit


Answers

Answer:

Water freezes in 273°F when measured in Fahrenheit scale

Answer:

32

Step-by-step explanation:

got it right on khan academy


PLEASE HURRY
Which equation of a line passes through the points (3,
-1) and (6, 1)?

Answers

To write the equation of line in y = mx + b form, we need

to identify the slope of the line and the y-intercept.

I would start by setting up a coordinate

system and plotting both points.

I have shown this below.

Let's start with our first point, (3, -1) which we call point A.

Now our second point, (6, 1) which we call point B.

To get from point A to point B, we rise 2 units and run 3 units.

So we know that our slope is 2/3.

However, we need the y-intercept.

Remember, this is the point where the line crosses the y-axis.

Since point B is farther from y-axis,

we need to go in the other direction.

So starting at point A, we go down 2 and to the left 3.

Remember, -2/-3 is 2/3 since a negative/negative = positive.

Now plot point C.

Notice that point C is on the y-axis.

It has the coordinates (0,-3).

Now we know our slope and y-intercept.

So our equation reads 2/3x - 3.

The slope is positive since the line is going up.

5(y + 2/5) = -13
what is the value of y

Answers

Answer:

[tex]y = - 3[/tex]

Step-by-step explanation:

[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + \frac{10}{5} = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ 5y = - 15 \\ \frac{5y}{5} = \frac{ - 15}{5} \\ y = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:y=-3

Step-by-step explanation:

All the yellow surfaces on this ferris wheel pod


need to be painted. Don't forget the bottom!


15 in


20 in


78 in


16 in


18 in


48 in


40 in

Answers

20 in because it will over everything

The surface area of the yellow surfaces on the wheel pod is 20 square inches

How to determine the surface area?

The yellow surfaces on the wheel create a circle with the following parameter:

Diameter, d = 5 inches

The radius (r) is calculated using:

r = d/2

So, we have:

r = 5/2

Evaluate

r = 2.5

The surface area is then calculated using:

A = πr²

So, we have:

A = 3.14 * 2.5²

Evaluate

A = 19.625

Approximate

A = 20

Hence, the surface area of the yellow surfaces on the wheel pod is 20 square inches

Read more about areas at:

https://brainly.com/question/14137384

#SPJ2

A. Using a protractor, draw a triangle that has two angles of 40°. Label the angle measures on your drawing and include your drawing in your answer.


Answers

Place the protractor on your straight line at the point of the edge of the line then measure out 40 degrees

Answer the question. 15 points

Answers

Answer:

Step-by-step explanation:

1/4

0.75 = 75/100 = 3/4

-3=12/4

3. Francis has an unpaid balance of $480 on his credit card.
The annual percentage rate is 12%. What is the finance
charge on his next monthly statement?

Answers

Answer:

4 dollars 80 cents

Step-by-step explanation:

if annual is 12%, find monthly, 12/12=1

monthly rate is 1%

convert to decimal

0.01

480*0.01

4.8

charly had 16 followers on instagram last week. now he has 6. what is the percent change?

Answers

He lost six. He had sixteen.

He lost 6/16 followers.
That's 6/16*100=37.5 percent.
Since it's a loss, the percent change is -37.5%

Find the value of X.

Answers

Answer:

hai

like you see, there are 2 line on the triangle.

68° is looking in front of one line, so the other line's front have to be 68°

now we found 2 corner of triangle.

a triangle's sum of interior angles equal to 180°

68°+68° = 136°.

now i have to remove 136 from 180 to find our x

180°-136° = 44°

x = 44°

good luck(:

HELP PLEASE!!!!

Nosaira solved an equation. Her work is shown below: 3(2x + 1 ) = 2(x + 1) + 1 6x + 3 = 2x + 2 + 1 6x + 3 = 2x + 3 4x = 0 x = 0
She determines the equation has no solution. Which best describes Nosaira’s work and answer?

A) Her work is correct, but there is one solution rather than no solution.
B) Her work is correct and her interpretation of the answer is correct.
C) Her work is incorrect. She distributed incorrectly.
D) Her work is incorrect. She moved terms across the equals sign incorrectly.

Answers

Answer:

A

Step-by-step explanation: I got it right literally 5 seconds ago.

Answer:

A. is your answer.

Step-by-step explanation:

- jess :)

PLEASE HELP ME WITH THIS & IT DUE tomorrow.


PLEASE AND THANK YOU!!!

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]\frac{Yellow Tint}{Blue Tint}[/tex]

Yellow tint: blue tint = 5:2

Manlly in
Its Graph
Which inequality is represented by the graph?

Answers

Answer: y<-3/2x+1 or C

Step-by-step explanation: The shaded region is below the indicated line therefore y is less than the slope which is -3/2 because rise/run

How could you rewrite 91 million as the product of a number and a power of 10?

Answers

Answer:

91x10^6

Step-by-step explanation:

Hope that helps

What system of equations represents the graph

A)The transformation can be done with a reflection followed by a rotation

B)The transformation can be done with a reflection followed by a translation

C)The transformation cannot be done because figure L is not congruent to figure M

D)The transformation cannot be done because figure L and M are in different quadrants

Answers

Answer:

The answer is C because the two figures are not congruent.

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