Suppose there are 106 (1 million) asteroids that are 0.87 km in radius. If they were all combined into a single sphere, calculate the radius of this sphere in km.

Answer:

10miles I think

Step-by-step explanation:

The required distance between, Nate's house and the restaurant is 7.5 miles.

From the graph,

Consider point C on the graph, which is 6  and 8 units apart from A and B respectively.

The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units

Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles

Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.

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Answer:

It intersects the y-axis at point (0, 2).

Step-by-step explanation:

x + 3y = 6

3y = -x + 6

y = -1/3x + 2

Answer:

4. (6,0)

Step-by-step explanation:

Plug the points into the equation.

6+3(0)=6

6+0=6

6=6

Answer

The author's intention is to demonstrate the narrator's liberation in embracing destiny.

Justification:

In a short period of time, the feelings mentioned here are many. The narrator's mood is initially characterized as oddly fearless.

This leads us to believe that there is little to be afraid of, which is why it has been fearless.

But then the author uses imagery to explain the experience, and we realize that Phil is in fact drowning, and his feelings are his realization that he will not live at all.

He has little hope of survival, but he embraces his destiny and feels oddly liberated.

Can I get brainliest?

Answer:

x = N/P + s

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

P = N/(x - s)

Step 2: Solve for x

Answer:

x = ( N / P ) + s

Step-by-step explanation:

Solve the literal equation using inverse operations.

P = N / ( x - s )

*( x - s )  *( x - s )

P( x - s ) = N

/P        /P

x - s = N / P

+ s       + s

x = ( N / P ) + s

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

In the given 30-60-90 triangle the value of x is calculated after rationalizing and simplifying to be equal to 2√3.

The hypotenuse of a right triangle is the longest side that is opposite the right angle. It is the side that is opposite to the right angle and is also the side that is opposite to the 90-degree angle in the triangle.

In a right triangle, the hypotenuse is always opposite to the right angle and is also the side that connects the two legs of the triangle. The hypotenuse is also the side that has the largest length among the three sides of a right triangle.

In a 30-60-90 triangle, the ratio of the sides opposite to the angles 30 degrees, 60 degrees, and 90 degrees are x: x√3 : 2x.

Therefore, in this triangle, the length of the hypotenuse (opposite to the 90-degree angle) is 2x.

The length of the perpendicular (opposite to the 60 degree angle) is 6.

So, we have:

tan (60 degrees) = perpendicular / base

√3 = 6 / x

Multiplying both sides by x, we get:

x√3 = 6

Dividing both sides by √3, we get:

x = 6 / √3

Rationalizing the denominator by multiplying both of the numerator and denominator by √3, we receive:

x = 6√3 / 3

Simplifying further, we get:

x = 2√3

Therefore, the value of x is 2√3.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

(5,0)

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The sampling method being used is given as follows:

Systematic sampling.

Samples may be classified as:

Hence in this problem we have a systematic sample with k = 15.

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Answer:

The graph of the line \(y=\frac{2}{3}x+3\) that contains the point (-3,1) with a slope of 2/3 is attached below.

Step-by-step explanation:

We know that the slop-intercept form of the equation is

\(y=mx+b\)

where m is the slope, and b is the y-intercept.

Given the slope = m = 2/3, and point (-3, 1)

\(1=\frac{2}{3}\left(-3\right)+b\)

\(-\frac{2}{3}\cdot \:3+b=1\)

\(-2+b=1\)

\(b=3\)

so the equation of line will be:

\(y=mx+b\)

\(y=\frac{2}{3}x+3\)

Also, the graph of the line \(y=\frac{2}{3}x+3\) that contains the point (-3,1) with a slope of 2/3 is attached below.

Slit the shape into a rectangle and two triangles:

Rectangle = 9 x 8 = 72 sq. Ft.

Triangle = 1/2 x 8 x 2.5 = 10 sq. Ft x 2 = 20 sq. Ft.

Total area = 72 + 20 = 92 sq. Ft.

3 coats x 92 = 276 sq ft worth of paint.

1 quart covers 200 so he would need to buy 2 quarts:

2 x $8.97 = $17.94 total

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer:

12.207

Step-by-step explanation:

a^2 + b^2 = c^2

a and b are legs of the right triangle, c is the hypotenuse.

The hypotenuse squared is equal to the square root of (7^2 + 10^2).

The square root of 149 is around 12.207.

You cannot simplify the square root of 149 so if the question wants it in radical form just input square root of 149.

The expression that tells how much she earns if she works for 3 hours is:

y = $13.50*3 = $40.50

Here we know that Tanya earns $13.50 per hour, so, if she works for Z hours, the amount that she earns is given by the linear equation:

y = $13.50*z

We want to see how much she earns if she works foe 3 hours, so we just need to evaluate the linear equation in  z = 3, to do that, we need to replace the variable z by the number 3, we will get then:

y = $13.50*3 = $40.50

The correct expression seems to be the first one (but z should not be there).

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If Tanya earns $13.50 per hour at her part-time job, the expression that gives the amount, in dollars, that Tanya will earn if she works 3 hours, which is $40.50, is A. 3(13.50z) where z = 3 hours.

The total earnings are the product of the earnings per hour and the number of hours she works.

The total earnings multiply the hourly rate by the number of hours.

A mathematical expression combines variables, constants, numbers, values, and mathematical operands.

13.50z

Z = hours worked

For working 3 hours, the total earnings Tanya gets will be:

13.50(3) = 40.50

= $40.50

Thus, solving the mathematical expression, Tanya's total earnings for working 3 hours will be $40.50.

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x= 0.

\(3cosx = 2+cosx\)

\(\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx=\frac{2}{3} +\frac{cosx}{3}\)

\(\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx-\frac{cosx}{3}=\frac{2}{3} +\frac{cosx}{3}-\frac{cosx}{3}\\ \\\\cosx-\frac{cosx}{3}=\frac{2}{3}\)

\(\frac{3cosx}{3} -\frac{cosx}{3}=\frac{2}{3}\\ \\\frac{3cosx-cosx}{3}=\frac{2}{3}\)

\(3*\frac{3cosx-cosx}{3}=\frac{2}{3}*3\\ \\3cosx-cosx=\frac{6}{3}\\ \\3cosx-cosx=2\)

\(2cosx=2\)

\(\frac{2cosx}{2} =\frac{2}{2} \\ \\cosx=1\)

\(cos^{-1}(cosx) =cos^{-1}(1)\\ \\x=cos^{-1}(1)\\ \\x=0.\)

Answer: $18.6

Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off

Answer:

1.3636363636...

can be expressed as

1 + 4/11

I tried out different fractions

1/11 is just 0.09090909...

4/11 is 4 times thar

1 = 11/11

so it's just 15/11

5.152

can be written as

\( \frac{5.152}{1} \)

or as

\( \frac{5152}{1000} \)

simplified with 8

\( \frac{644}{125} \)

Answer:

190 / 360 = 0.52777777

0.527777 x 100 = 52,78%

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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Answer:

\( \fbox{y = 8/5 } \)

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

\( \: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3\)

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

-5y = -8

÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

Answer

= 8/5 hope this is fine

Answer:

the answer for this problem is 1 +×

Step-by-step explanation:

you must frame the equation with a number x

after that you have to translate the x into the equation and it can be written as

1×(1× ×)=1+×

Answer:

120

Step-by-step explanation:

Since you have to find volume you have to multiply all the numbers.

So, 4*5*6 = 120

Answer:

120cm2

Step-by-step explanation:

Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Answer:

two, two, parallel

Step-by-step explanation:

According to the equation, mx + b where m is the slope, we can conclude that the slopes of both equations are two. If two lines have equal slopes, then they are parallel. As both lines have equal slopes, they are parallel.

Answer:

2_2_linear equations

Answer:

2/5

Step-by-step explanation:

0.4 x 10/10

= 4/10 divide by 2

=2/5

Answer:

i really dont know how to do this

Step-by-step explanation: