Scientists estimate that the mass of the sun is 1. 9891 x 10 kg. How many zeros are in this


number when it is written in standard notation?


A 26


B 30


C 35


D 25

Answer:

  A.  The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.

Step-by-step explanation:

Reflection is a rigid transformation. It preserves both angles and side lengths. Dilation preserves angles, but changes all lengths by the same scale factor.

The described triangle was subject to reflection, which preserves angles and lengths. It was also subject to dilation, which preserves angles, but not lengths.

The appropriate description is that of choice A.

Answer:

No statements are included in the question.  Several observations are noted.

Step-by-step explanation:

y = 6x + 2

y = 6x + 1

y=mx+b is the equation for a straight line, where m is the slope and b the y-intercept.  

Observations

1.  These are both straight lines.

2.  The slopes are both the same:  +6.  The lines are parallel.

3.  Since they are parallel, they will never intersect (within the solar system)

4.  The second line is one unit lower than the first:  it's y-intercept is +1, comapared to +2 for the first.

5.  Since they do not intercept, there is no solution for this system of equations.

These will likely match some of the statements.

Answer: 91 and 101 miles

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Boys  :  Girls

   4   to  5

Answer:

x=-2

Step-by-step explanation:

first, remove the parenthesis.

3x-2x+1=7x-3+5x-x+24

collect like terms

x+1=11x+21

subtract x from both sides

1=10x+21

subtract 21 from both sides

-20=10x

divide both sides by 10

-2=x

Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

The distance between two opposite corners of the floor is 9.4 meters. The result is obtained by using Pythagorean theorem.

A diagonal is a straight line that connects the opposite corners of a polygon.

The floor of a storage unit is 8.5 meters long and 4.1 meters wide.

Find the distance between two opposite corners of the floor!

We have

It means that the shape of the floor is a rectangle. See the illustration picture in the attachment! The distance between two opposite corners is called diagonal.

We can determine the diagonal length by using Pythagorean theorem.

a² + b² = c²

c is the longest side of a triangle.

In this case, c is the diagonal of the rectangle. So,

8.5² + 4.1² = c²

72.25 + 16.81 = c²

c² = 89.06

c = 9.437

c ≈ 9.4 m

Hence, the diagonal length of the rectangle floor is 9.4 meters.

Learn more about diagonal here:

brainly.com/question/29143147

#SPJ4

Answer:

x=18

Step-by-step explanation:

Answer:

its 155

Step-by-step explanation:

125 + 10 + 10 + 10 i had answered before but it got deleted

Answer: 540°

Step-by-step explanation:

Sum of Interior Angles in a Pentagon:

(5 - 2) = 3 × 180°= 540°. Hence, the sum of interior angles of a pentagon is 540°.

Answer:

first distribute:

3x+6=5x-7

then combine the x's:

-2x+6=-7

get rid of the 6:

-2x=-13

divide the 2:

6.5

Step-by-step explanation:

Answer:

x = 13/2

Step-by-step explanation:

Answer:

X= -5

y= -9

Step-by-step explanation:

7x -4y = 1

4(5x -y = -16)

(7x - 4y = 1) - (20x -4y = -64)

X= -5

y= -9

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

length=11 width=10

Step-by-step explanation:

Create two equations with length(l) and breath(w) as our unknowns

2l+2w=42

2l=42-2w

2l/2=(42-2w)/2

l=21-w(equation 1)

lxw=110

lw=110

Substitute equation one into equation two

(21-w)w=110

21w-w²=110

Write your equations in standard quadratic form

0=w²-21w+110

solve this as a quadriatic tri nominal

0=(w-10)(w-11)

0=w-10. or 0=w-11

10=W. 11=L

Answer: If n>1, then any positive number raised to the power of n will always be greater than 1. Therefore, any number greater than 1 raised to the power of n, such as 2^n, 3^n, etc., will also always be greater than 1.

Step-by-step explanation:

Answer:41,160 meters in 2 minutes at the speed of 343 meters per second.

Step-by-step explanation:

The speed of sound varies depending on the medium it's traveling through, but assuming you meant the speed of sound in air at room temperature, it's approximately 343 meters per second.

To find out how far sound will travel in 2 minutes (120 seconds), we can simply multiply the speed of sound by the time:

Distance = Speed x Time

Distance = 343 m/s x 120 s

Distance = 41,160 meters

Therefore, sound will travel approximately 41,160 meters in 2 minutes at the speed of 343 meters per second.

a. Probability of losing the second thumb war is also 0.38.

b. Probability of losing the third thumb war is also 0.38.

Given that Nate loses 38% of all thumb wars.

We can use the probability of losing the thumb war as

p=0.38.

The probability of winning is

1-0.38=0.62.

a) Probability of losing two thumb wars in a row is:

P(loses two in a row) = P(loses first) × P(loses second)

The probability of losing the first thumb war is 0.38.

The probability of losing the second thumb war is also 0.38

So,

P(loses two in a row) = (0.38) × (0.38)

= 0.1444

b) Probability of losing three thumb wars in a row is:

P(loses three in a row) = P(loses first) × P(loses second) × P(loses third)

The probability of losing the first thumb war is 0.38.

The probability of losing the second thumb war is also 0.38

The probability of losing the third thumb war is also 0.38.

So,

P(loses three in a row) = (0.38) × (0.38) × (0.38)

= 0.054872

c) When events are independent, their complements are independent as well.

If the probability of winning the thumb war is p, then the probability of losing the thumb war is 1-p.

The complement of "losing three in a row" is "not losing three in a row".

P(not loses three in a row) = 1 - P(loses three in a row)P(not loses three in a row)

= 1 - 0.054872

= 0.945128

The probability that Nate loses three thumb wars in a row, but does not lose four in a row is the probability of losing three minus the probability of losing four in a row.

P(loses three but not four in a row) = P(loses three in a row) - P(loses four in a row)

P(loses four in a row) = P(loses three in a row) × P(does not lose the next)

P(loses four in a row) = (0.38) × (0.38) × (0.38) × (0.62)

= 0.02081416

P(loses three but not four in a row) = 0.054872 - 0.02081416

= 0.03405784

The probability that Nate loses two thumb wars in a row is 0.1444

The probability that Nate loses three thumb wars in a row is 0.054872.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ11

The maximum volume of this cylinder = 256π  cubic inches

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

Let h be the height and r be the radius.

Then, h+r = 12

=> h=12-r

Volume of the cylinder (V):

V=πr²h

=> h= πr² ( 12-r )

=> h=  π ( 12r² - r³ )

Differentiate with respect to r , we get

dv/dr = 24 πr - 3πr²

Find r by taking dv/dr=0

24 πr - 3πr²  = 0

3π ( 8r - r² ) = 0

8r = r²

r=8

Again differentiating, we get

d²V/dr² = 24π - 6 π r

When r=8, 24π - 48 π  <0

So, V is maximum at r= 8 inches

And h= 12-8= 4 inches

Hence, the required volume of the cylinder = π8²*4 = 256π  cubic inches

To learn more about the volume from the given link

https://brainly.com/question/463363

#SPJ4

The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

To know more about homogeneous linear differential equation visit:

https://brainly.com/question/31129559

#SPJ11

Step-by-step explanation:

\(n = 3 \times 5 {}^{2} \times {x}^{3} \)

Square both sides of the equation.

\({n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )\)

\(5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )\)

The median income for a person with a high school diploma is $35,256 per year, whereas the median income for a person with a bachelor's degree is $59,124 per year.

That implies that obtaining a bachelor's degree boosts your yearly median income by $23,868. By dividing that number by 12 months, you can determine how much extra money you can expect to make on a monthly basis after obtaining a bachelor's degree.    

$23,868 ÷ 12 months = $1,989  

 Thus, you can expect to earn an additional $1,989 per month after obtaining a bachelor's degree, based on the median income data.

If your starting salary upon graduation is $40,780, which is less than the median income for someone with a bachelor's degree, it may be difficult to pay back student loans and cover other living expenses.

However, the potential for future raises and higher earning potential with a bachelor's degree may be worthwhile for some people, depending on their career goals and other factors.

For such more question on median income

https://brainly.com/question/16488054

#SPJ8

Answer:

71v + 72

Step-by-step explanation:

9v-8(10v-9) distribute 8 × 10v, 8×9

9v - 80v+72

71v + 72

Explanation

By definition.

so

Let

hence

I hope this helps you

The correct option is (1) less than 10 times the original distance.The original distance was  30 cm and the new distance is 94.86 cm which is less than 10 times the original.

The force of attraction and repulsion among two charged bodies are directly proportional to a product of their charges but inversely proportional to a square of a distance between them, according to Coulomb's law.

It works along the line that connects the two charges that are called point charges.

The formula for Coulomb's law is-

\(f_{}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{}^{2}}\)

where, q₁ and q₂ are the charges;

d is the distance between them.

Now, according to the question;

Two charges that were initially separated by a particular distance are pushed closer together until force between the two is reduced by a factor of ten.

Coulomb's law of force

\(f_{1}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{1}{ }^{2}}\)

d₁ is the initial distance.

So when charges are separated further, a new force is f₂, which is represented as

\(f_{2}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}^{2}}\)

d₂ is the moved distance

As a result, the given force is decreased by ten times its original value.

Thus, \(f_{2}=\frac{f_{1}}{10}\)

use the expression in both forces

\(\begin{gathered} \frac{f_{1}}{10}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\\frac{q_{1} q_{2}}{4 \times 10 \pi \epsilon d_{1}{ }^{2}}=\frac{q_{1} q_{2}}{4 \pi \epsilon d_{2}{ }^{2}} \\ \frac{1}{10 \times d_{1}{ }^{2}}=\frac{1}{d_{2}{ }^{2}} \\ d_{2}=\sqrt{10} d_{1}\end{gathered}\)

Now, calculate the moved distance d₂,

\(\begin{aligned}& d_{2}=\sqrt{10} d_{1} \\ & d_{2}=\sqrt{10} \times 30 \\& d_{2}=3.162 \times 30 \\ & d_{2}=94.868 \mathrm{~cm}\end{aligned}\)

The new distance is 94.868 cm.

Therefore, the new obtained distance is less than the 10 times the original distance.

To know more about the Coulomb's law of force, here

https://brainly.com/question/506926

#SPJ4

The complete question is-

Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10.  Is the new distance

(1) less than 10,

(2) equal to 10, or

(3) greater than 10;

times the original distance? If the original distance was 30 cm.

Answer:

it's x+3

Step-by-step explanation:

it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)

and go again down by 1 and get (0,3)

so we know we have to add 3 each time so it is x+3

Answer:

The first will be 16.6

The second will be 29

Step-by-step explanation:

Hope this Helped

\(5x + 7 = 90\)

\(3x + 3 = 90\)

1) To determine the values of x at which the function f(x) is continuous, we need to check for three conditions: continuity at a point, continuity on an interval, and continuity at the endpoints of an interval.

- Continuity at a point: For a function to be continuous at a specific point, the limit of the function as x approaches that point should exist and be equal to the value of the function at that point.

- Continuity on an interval: For a function to be continuous on an interval, it needs to be continuous at every point within that interval.

- Continuity at the endpoints of an interval: If the function is defined on a closed interval [a, b], it should be continuous at both endpoints a and b.

Given that we have the points x = 2, x = 3, x = 4, we need to check if the function is continuous at these points.

2) To determine the behavior of the function at x = 0, x = 1, x = 2, x = 3, and x = 4, we need to evaluate the function at each of these points

Please provide the specific function equation f(x) so that I can proceed with the step-by-step analysis and provide you with the results.

Learn more about specific function equation here:

https://brainly.com/question/28022118

#SPJ11

Answer:

c

Step-by-step explanation:

Answer:it's c

Step-by-step explanation:

Answer:

2kJ

Step-by-step explanation:

Use the 10 percent rule:

20kJ=20,000J

20,000J*0.10=2,000J=2kJ