1. Analyze Identify the relevant concepts. Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents. Solve Apply the concepts to this problem. Set up the problem. (__X 10^30) ÷ (__X 10^-2), Divide the coefficients. (__÷1.5) = ___,Then subtract the exponents. 10^30÷10^-2)=10^30-(-2), Combine the results of the two operations. (2.0 X 10^30) + (1.5 X 10^-2) = __X___, The star's mass is _________.

2. What is the mass of a star that is equal to the sun's mass divided by 1.5×10^-2? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. ASAP PLEASE!! ​

Answer:

A: experiment

B: observational study

C: observational study

D: experiment

Step-by-step explanation:

Step-by-step explanation:

hope this answer will help you

Answer:

x=52

Step-by-step explanation:

x=30+22

x=52

Answer:

Move all terms not containing  

X

to the right side of the equation.

X = 52

Answer:

Kyra is correct.

Step-by-step explanation:

Rational numbers;

All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.

Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....

Irrational numbers:

Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.

Example: 1.234, π, √2

So rational and irrational numbers are two separate things.

But all positive and negative numbers are real numbers.

Real numbers may be rational or irrational both.

Therefore, Kyra's interpretation is correct.  

Answer:

[tex]6{x}^{2} - 2x + 4 - 12x =6 {x }^{2} - 14x + 4[/tex]

The simplified expression of 2x(3x - 1) + 4(1 - 3x) is 6x² + 4 - 14x

From the question, we have the following parameters that can be used in our computation:

2x(3x - 1) + 4(1 - 3x)

When the brackets are opened, we have

2x(3x - 1) + 4(1 - 3x) = 6x² - 2x + 4 - 12x

Evaluate the like terms

so, we have the following representation

2x(3x - 1) + 4(1 - 3x) = 6x² + 4 - 14x

Hence, the simplified expression is 6x² + 4 - 14x

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Step-by-step explanation:

2x + 10y = 50 ... 1

1.5x + 25y = 90 ...2

...1 × 2.5

5x + 25y = 125 ...3

...3 - ...2

3.5x = 35

x = 10

replaced x = 10 in ...1

2(10) + 10y = 50

20 + 10y = 50

10y = 50 - 20

10y = 30

y = 3

edit: nevermind i multiplied wrong, the other answer is right

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - (1 + 7x) - 6( - 7 - x) = 36}[/tex]

Distribute ( - ) sign through the parentheses

Similarly, distribute -6 through the parentheses

[tex] \dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}[/tex]

Collect like terms

[tex] \dashrightarrow \sf - 7x + 6x - 1 + 42 = 36[/tex]

[tex] \dashrightarrow \: \sf \: - x - 1 + 42 = 36[/tex]

The negative and positive integers are always subtracted but possess the sign of the bigger integer

[tex] \dashrightarrow{ \sf{ - x + 41 = 36}}[/tex]

Move 41 to right hand side and change it's sign

[tex] \dashrightarrow{\sf{- x = 36 - 41}}[/tex]

[tex] \dashrightarrow \sf \: - x = - 5[/tex]

Change the signs on both sides of the equation

[tex] \dashrightarrow \: \sf{x = 5}[/tex]

Hope I helped!

Best regards! :D

Answer:

angle 1 = 60 degrees

angle 2 = 120 degrees

=====================================================

Explanation:

Supplementary angles always add to 180 degrees. In other words, the two angles form a straight line.

(angle1) + (angle2) = 180

4x+8x = 180

12x = 180

12x/12 = 180/12 .... dividing both sides by 12

x = 15

Use this x value to find the two angle measures

angle1 = 4x = 4*15 = 60

angle2 = 8x = 8*15 = 120

As a check, angle1+angle2 = 60+120 = 180, which confirms our answer.

Step-by-step explanation:

Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.

180 - x = 3x + 24

4x = 156

x = 39

Hence the original angle is 39° and the supplementary angle is 141°.

The angles are 39° and 141°.

Two angles are said to be complementary to each other when their sum is 90°

According to the given question

The measure of the supplement angle is 24 more than the measure of the original angle.

Let the original angle be x

So from the given data it's supplement angle is 3x + 24.

We know two angles are supplementary when their sum is 180°.

∴ x + 3x + 24° = 180°

     4x = 156°

       x = (156/4)°

      x = 39°.

So, the original angle is 39° and it's supplementary angle is 141°.

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Answer:

True an angle is two intercepting line segments that share an point

False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.

Step-by-step explanation:

Answer:

Actual area = 21600 Sq.miles

Step-by-step explanation:

We are given;

length; L = 4 inches

Width; W = 6 inches

The scale of the map; 1 inch for every 30 miles i.e. 1 : 30

Since the scale is 1:30, let's find the find the actual dimensions and then the actual area

For the Length,

Since 1 inch represents 30 miles,

Then, 4 inches = (4 × 30)/1 = 120 miles

For the width;

Since 1 inch represents 30 miles,

Then,6 inches = (6 × 30)/1 = 180 miles

Therefore, the actual dimensions are 120 miles and 180 miles

Now, formula for area of rectangle = length × width

Thus;

Actual area = 120 × 180

Actual area = 21600 Sq.miles

Answer:

y = 3x+3

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Answer:

j(x) is an odd function

Step-by-step explanation:

We are given;

j(x) = 220/x³ and j(-x) = 220/(-x)³

Now,

when x = 1;

j(x) = 220/1³ = 220/1 = 220

j(-x) = 220/(-1)³ = 220/-1 = -220

When x = 2;

j(2) = 220/2³ = 220/8

j(-2) = 220/(-2)³ = -220/8

Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.

From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.

Answer:

A) j(x) is an odd function.

Step-by-step explanation:

Answer:

Zero can be classified as a: Whole number, Rational number, and integer.

Step-by-step explanation:

Zero cannot be classified as a natural number because it does not have a positive or negative value.

I hope this helps! Good luck!

Zero is not classified as a D. Natural number

Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:

There is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.

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Answer:

The formula makes sense

Step-by-step explanation:

For illustration purposes, we will assume the yard is a rectangle ( such assumption does not in any way invalid the arguments that follows

Dimensions of the yard

L = 10 m

w = 4 m

A = 40 m²

Arguments:

1.- The required time (t)  is proportional to the area (A). That means ( keeping all parameters fixed but Area ) we need more time to mow a bigger area yard. Then  t ∝ A

You can see that if the yard is 40 m²  you will take let´s say 0,5 day and you will need more time if the area is 100 m² ( it seems obvious )

2.- Let´s now assume the width of the mower is 1 m if you move along the length you will need to go forward and backward  4 times. Now think about a mower of 4 m ( it does not matter if that machine exists or no, is just a mental experiment) in that case you only need one pass, then the required time is inversely proportional to the width of the mower. That means a bigger width of the mower minor required time. Then t ∝ 1/w

3.-If now we keep the width of the mower but increased the speed of the machine we will reduce the working time. Time is an inversely proportional function of the speed of the machine since each required pass will take less time. Then  t ∝ 1/v

We have evaluated three parameters A, w, and v ( area, the width of the mower,  and speed ) and demonstrated the way each of these parameters influences the time, so far we don´t know how much each of them contributes  in the total output, for that we have to measure and get conclusions, Furthermore coefficient 1,15 (in formula seems to take into account the hole combinations of the factors)

Answer: x=7

Step-by-step explanation:

got it right on edg

Answer:

x = 7

Step-by-step explanation:

8x - 17 + 5x - 3 = +71

13x - 20 = +71

     + 20 = +20

13x = 91

13x/13 = 91/13

x = 7

Answer:

The answer is A (0.203 > 0.085)

Answer:

Step-by-step explanation:

Since the court yard is square in nature, the area of the court yard will be exprerssed as;

A = Length * Length

A(x) = L²

Given area of the court yard A(x) = x^2 - 22x + 121

x^2 - 22x + 121= L²

Factorizing the quadratic expression

(x^2 - 11x) -(11x+ 121) = L²

x(x-11)-11(x-11) = L²

(x-11)(x-11) = L²

(x-11)² = L²

Square root both sides to the length of the courtyard

√(x-11)² = √L²

L = x-11

Hence the  length of the courtyard is (x-11)ft

b) The perimeter of the courtyard P = 4L

P = 4(x-11)

P = 4x - 44

Hence an expression for the perimeter of the courtyard is 4x-44 feet

Answer:

4x

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors.

Answer:

18 muffins

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=34 (1)

0.50x+0.75y=21 (2)

where x is the number of muffins and y is the number of bagels.

First, you can isolate x in (1):

x=34-y (3)

Then, you can replace (3) in (2):

0.50(34-y)+0.75y=21

17-0.5y+0.75y=21

0.25y=21-17

0.25y=4

y=4/0.25

y=16

Now you can replace the value of "y" in (3):

x=34-16

x=18

According to this, the answer is that you sold 18 muffins.

the answer is $149.46 c:

Answer:

[tex]x \geq 255[/tex]

Step-by-step explanation:

The options are not visible; however the question can still be solved

Given

Least Value = $255

Required

Determine the inequality

When the phrase "at least" is used, the its direct representation is the mathematical symbol [tex]\geq[/tex]

So: At least 255 means

[tex]\geq 255[/tex]

Representing the values with variable x, the complete inequality becomes

[tex]x \geq 255[/tex]

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

I used a calculator and it's correct!

Plz click the Thanks button!

<Jayla>

Answer: Yes, a coefficient can have two variables.

Answer:

Step-by-step explanation:

If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC

Given

AB = 12''

BC = 8''

To get length od segment AC, we will substitute the given values into the formula above as shown;

AB+BC = AC

12 + 8 =AC

AC = 12+ 8

AC = 20''

Hence the length of AC is 20''

Answer:

Seven(7)

Step-by-step explanation:

8x-2y=48

8x-2(4)=48

8x-8=48

8x=48+8

8x=56

Divide both sides by 8

8x/8=56/8

x=7

Answer: 1

8-9=-1

-1 additive inverse is 1