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

Answer:

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

Step-by-step explanation:

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

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

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!

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

Answer:

Step-by-step explanation:

1/4

0.75 = 75/100 = 3/4

-3=12/4

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.

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

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

Answer:

Water freezes in 273°F when measured in Fahrenheit scale

Answer:

32

Step-by-step explanation:

got it right on khan academy

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

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

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.

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.

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.

Answer:

0.601851

Step-by-step explanation:

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

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!

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:

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:

Answer:

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

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

Answer:

A

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

Answer:

A. is your answer.

Step-by-step explanation:

- jess :)

Answer: quarter, dime,nickel

Step-by-step explanation:

Answer:

91x10^6

Step-by-step explanation:

Hope that helps

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

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

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Answer:

they both involve the hypotenuse

Step-by-step explanation:

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(: