4. Calculate the gravity force between the Earth (m = 6*10^24 Kg) and the Moon (m = 7*10^22 Kg) when their distance is 4*10^8 m. (use G = 7*10^-11 Nm2/Kg2)

Fg = 1.8 * 10^52 N

the answer is given, but can someone explain how to get it?? I've tried for an hour to figure it out, but I am not getting it

The other constrain would be the number of hours it takes to make each one.

4 hours for a mountain bike would be 4x

5 hours for a road bike would be 5y

The hours need to be less than or equal to a total of 300 hours.

The missing constraint would be 4x + 5y ≤ 300.

Answer:

4x + 5y ≤ 300

Step-by-step explanation:

x: no of mt bike n y: no. of road bike

4 labor hrs for 1 mt bike n 5 labor hrs for 1 road bike

company has at most 300 labor hrs per day

so the contraint is 4x + 5y ≤ 300

Angle created by intersecting lines are 115° and 65°

Given that;

One angle is less than 50°

Find:

Measure of all angles

Computation:

We know that;

Sum of two adjacent angles = 180°

Assume;

One angle = a

So,

Another angle = a - 50

So,

a + (a - 50) = 180

2a - 50 = 180

2a = 230

a = 115°

another angle = 180 - 115

Another angle = 65°

Learn more:

https://brainly.com/question/11444462?referrer=searchResults

The time period which has the greatest rate of change is from 0 to 5 minutes, because the steeper the line is, the greater the slope is. Hope this helps!

[tex]0-5\ min\\\\\dfrac{3\ km}{5\ min}=0.6\ \dfrac{km}{min}\\\\5-20\ min\\\\\dfrac{(4-3)\ km}{(20-5)\ min}=\dfrac{1\ km}{15\ min}\approx0.067\ \dfrac{km}{h}\\\\20-35\\\\\dfrac{(6-4)\ min}{(35-20)\ min}=\dfrac{2\ km}{15\ min}\approx0.133\ \dfrac{km}{min}\\\\0.067 < 0.133 < 0.6\\\\Therefore\ your\ answer\ is: A)\ 0\ to\ 5\ minutes[/tex]

Answer:

42%

Step-by-step explanation:

We will use the conditional probability in this case

We use conditional probability when two cases occur are dependent.

So by using:

[tex]\frac{P(A\capB)}{P(B)}[/tex]

Here, A is the event of experience needed.

And B is the event of part-time

Substituting the values in the formula we get:

[tex]\frac{6}{14}=.42[/tex]

Intersection of experience needed and part-time is 6

And part-time total is 6+8=14

To get in percent we will multiply it by 100

42% is the required probability.

12 - x < 8

add x to both sides

12 - x + x < 8 + x

12 < 8 + x

re-write

8 + x > 12

Subtract 8 to both sides

8 + x - 8 > 12 - 8

x > 4

The graph B is matching the answer (x > 4)

So answer is B.

Let's solve your inequality step-by-step.

12−x<8

Step 1: Simplify both sides of the inequality.

−x+12<8

Step 2: Subtract 12 from both sides.

−x+12−12<8−12

−x<−4

Step 3: Divide both sides by -1.

−x

−1

<

−4

−1

x>4

Answer:

x>4

NOTE step 3 i was tryna do a fractions it aint work out so good soo i like added a pic

Answer:

Option C.

Option B.

Step-by-step explanation:

By definition, the square of a number is that number times itself.

The square root of a perfect square is a whole number.

Since the square root of another number (not perfect square) is not a whole number, you can estimate it finding two perfect square roots that number is between.

1) Observe that 4 and 9 are perfect squares:

[tex]4=2^2\\9=3^2[/tex]

And 8 is between those numbers.

Therefore, the square roots [tex]\sqrt{4}[/tex] and [tex]\sqrt{9}[/tex] are used to estimage [tex]\sqrt{8}[/tex]

2) Notice 36 and 49 are perfect squares:

[tex]36=6^2\\49=7^2[/tex]

And 42 is between those numbers.

Therefore, the square roots [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex] are used to estimage [tex]\sqrt{42}[/tex]

The square roots used to estimate √8 are √4 and √9 while the square roots to estimate √42 are √36 and √49.

The two square roots that are used to estimate √8 are √4 and √9 since the value of √8 falls between the value of these two square roots (2 and 3). The reason why these are chosen is due to √8 being greater than √4 and less than √9. Similarly, the two square roots to estimate √42 are √36 and √49. The square root of 42 is more than the square root of 36 (which is 6) and less than the square root of 49 (which is 7). Therefore, to estimate the square roots, we find two perfect squares that the number falls between.

https://brainly.com/question/3120622

#SPJ3

The percentage decrease in price from $4.59 to $4.09 is 10.9%, while the percentage increase from $4.09 to $4.59 is 12.2%. Therefore, the percentages of change are not the same and the percentage increase is a greater change.

To calculate the percentage decrease in price from $4.59 to $4.09, we subtract $4.09 from $4.59, then divide by the original price of $4.59, and multiply by 100: (($4.59 - $4.09) / $4.59) * 100 = 10.9%. Therefore, the percentage decrease is 10.9%.

For the percentage increase from $4.09 back to $4.59, we similarly subtract $4.09 from $4.59, divide by the 'new' original price of $4.09, and multiply by 100: (($4.59 - $4.09) / $4.09) * 100 = 12.2%. Therefore, the percentage increase is 12.2%.

The resultant decrease and increase percentages are not the same. The percentage increase of 12.2% is a greater change compared to the 10.9% decrease.

https://brainly.com/question/35855541

#SPJ3

Equation step-by-step:

4n - 18 = 52 → we take -18 to the right side of the equation

4n = 52 + 18 → we solve for 52 + 18

4n = 70 → we take 4 to the right side of the equation

n = 70 / 4 → we solve for 70 / 4

n = 17,5 → final answer

Hope it helped,

BioTeacher101

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

D. (X-3)(4x)+(x-3)(2)

Answer:

[tex](x-3)(4x)+)x-3)(2)[/tex]

Step-by-step explanation:

Multiply [tex](x-3)(4x+2)[/tex] using the distributive property.

Distributive property is a(b+c) is a times b + a times c

Distribute a inside the parenthesis

When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis

In the given expression, distribute (x-3) inside the second parenthesis

[tex](x-3)(4x+2)[/tex]

[tex](x-3)(4x)+)x-3)(2)[/tex]

Hello,

Please, see the attached files.

Thanks.

Answer:

-8

Step-by-step explanation:

1 1/2 - 2 5/6  (multiply the denominator by the whole number, then add with the numerator)

3/2 - 17/6  (get the common denominator which is 6 in this situation and multiply that with the numerator)

9/6 - 17/6 = -8

The polynomial 55° + 6st - 85° - 6t has 4 terms and a degree of 10 after it has been fully simplified.

To determine the number of terms in a polynomial, count the separate algebraic expressions that are added or subtracted. In this case, the polynomial is composed of four distinct terms: 55°, 6st, -85°, and -6t.

Next, the degree of a term in a polynomial is the highest power of its variable. Examine each term to identify the variable and its corresponding exponent. The term 55° has a degree of 0 since any nonzero constant raised to the power of 0 is 1. Both 6st and -6t have a degree of 2, as the variables s and t are raised to the power of 1. Lastly, the term -85° has a degree of 1.

To find the overall degree of the polynomial, identify the term with the highest degree. In this case, it is the term 6st, which has a degree of 2. Therefore, the fully simplified polynomial has four terms and a degree of 2, making the correct statement: "It has 4 terms and a degree of 10."

Complete question :-

Which statement is true about the polynomial 55° + 6st-85°-6t after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.

Answer:

2 (less than or equal to) t (less than or equal to) 98, Real Numbers

Step-by-step explanation:

2 (less than or equal to) t (less than or equal to) 98, Real Numbers

:) hope this helps!

The domain of the function H(t), which models the height of a plant over time, would consist of integers ranging from -2 to 98 to represent each day of the plant's growth, including the two days before purchase.

The question at hand is asking which type of number is more appropriate for the domain of a function, H(t), that models the height of Pooja's plant (in centimeters) t days after she bought it. The domain of a function includes all the possible inputs for the function, in this case, the number of days after Pooja bought the plant. Considering Pooja's plant sprouted 2 days before she bought it and lasted for 98 days, the best number type for the domain would be integers since the days are counted in whole numbers. However, if we include the 2 days before she bought it, the domain in context would be from -2 to 98. Therefore the domain would be {-2, -1, 0, 1, 2, ..., 98}, which are all integers.

https://brainly.com/question/28599653

#SPJ3

Answer: 576

Step-by-step explanation:

To find the area of a triangle you do base times the height divided by two. Now that you have the area and the base you just have to do the opposite

So you would do 1,440*2 = 2,880

Then you would divide 2,880 from 5. 2,880/5=576

So the answer is 576

8+4=12

Since we are trying to find out how much was deducted from the wallet, make 12 negative

integer: -$12

45-12=33

$33 left

The integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The integer will be calculated as:-

The amount deducted is

8  +  4  =  12

Since we are trying to find out how much was deducted from the wallet, make 12 negative

integer:  -$12

45  -  12  =  $33

Therefore the integer shows the amount of money in Shaniqua's wallet is -12 and the money left will be $33.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Hello there

Since  there is 1 foot water in the tank the total volume = 3*2 * 1

= 6 cubic feet.  

volume of 6 cu. feet corresponds to 1 foot of water in height, this will help you find your answer

The Perez family's rectangular fish tank can hold 18 cubic feet of water by multiplying the length, width, and height (3ft x 2ft x 3ft).

To calculate the amount of water the Perez family's rectangular fish tank can hold, we use the formula for the volume of a rectangle, which is length * width * height.

Given:

The volume (V) is calculated as:

V = l * w * h

V = 3 feet * 2 feet * 3 feet

V = 18 cubic feet

Therefore, the rectangular fish tank can hold 18 cubic feet of water.

Answer:

for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN

Step-by-step explanation:

A translation is a transformation that moves every point in a figure in the same direction by the same amount. The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units downwards

A translation is a transformation that moves every point in a figure in the same direction by the same amount. It is also a sort of transformation in which each point in a figure is moved the same distance in the same direction resulting in the same figure again.

For any graph, if the value of x is increased it moves in the right direction while it moves in the left direction if the value is decreased.

Similarly, For any graph, if the value of y is increased it moves upwards while it moves in downwards if the value is decreased.

Now, as per the given rule of transformation, (x, y)→(x+2, y−4), the graph will translate 2 units right and 4 units downwards.

Hence, The rule (x, y)→(x+2, y−4) represents a translation 2 units right and 4 units downwards.

Learn more about Translation here:

https://brainly.com/question/11914505

#SPJ2

Answer:

It is correct because 8/9x3/4=2/3

Step-by-step explanation:

The  equation x² + y² − 2x + 6y + 3 = 0 is equivalent to  (x − 1)² + (y + 3)² = 7

The standard equation of a circle is expressed as

x² + y² + 2gx + 2fy + C = 0

Given the equation x² + y² − 2x + 6y + 3 = 0. Using the completing the square method to write its equivalent

x² - 2y + y² + 6y + 3 = 0

( x² - 2y + 1) - 1 +(y² + 6y + 9) - 9+ 3 = 0
(x-1)² - 1 +(y + 3)² - 6 = 0
(x-1)² + (y + 3)² = 7

Hence the  equation x² + y² − 2x + 6y + 3 = 0 is equivalent to  (x − 1)² + (y + 3)² = 7

Learn more on equation of circle here: https://brainly.com/question/14150470

#SPJ2

20% = 1/5

20/5 = 4

Sam scored 4 points

Answer:

4

Step-by-step explanation:

20% of 20 points would be 4 you can literally just type it into google

The answer is 8.

You divide 88 by 11 to find out how much Bianca haves.

Answer: R' = [tex](3\frac{1}{3} ,1\frac{2}{3})[/tex], S' = [tex](3\frac{1}{3} ,-3\frac{1}{3})[/tex], T' = [tex](-1\frac{2}{3} ,-3\frac{1}{3})[/tex]

Step-by-step explanation:

R = (2, 1)  ⇒  R' = [tex](\frac{5}{3})2 , (\frac{5}{3})1 = (\frac{10}{3} , \frac{5}{3})[/tex]

S = (2, -2)  ⇒  S' = [tex](\frac{5}{3})2 , (\frac{5}{3})(-2) = (\frac{10}{3} , \frac{-10}{3})[/tex]

T = (-1, -2)  ⇒  T' = [tex](\frac{5}{3})(-1) , (\frac{5}{3})(-2) = (\frac{-5}{3} , \frac{-10}{3})[/tex]

Plot the coordinates.

Given

You have an allowance of $12.00

discount movies ticket that costs at least $3.50

popcorn that costs $2.75.

Find out the  how much do much do you have for other spending.

To proof

Let us assume that the money for the other spending be x.

As given

total  allowance = $12.00

discount movies ticket that costs at least  = $3.50

popcorn costs =  $2.75

than the inequality written in the form

3.50 + 2.75 + x  ≤  12.00

6.25 + x ≤ 12.00

x ≤  5.75

you have money for other spending is atmost 5.75

when the movies ticket that costs at least $3.50

Hence proved

Final answer:

After purchasing a discounted movie ticket for at least $3.50 and popcorn for $2.75 from an allowance of $12.00, the student will be left with $5.75 for other spending.

Explanation:

The student is given a scenario involving budgeting and calculating remaining allowance after certain purchases. To find out how much money is left for other spending after purchasing a discounted movie ticket and popcorn, we subtract the total cost of these items from the initial allowance.

If the student has an allowance of $12.00 and buys a movie ticket for at least $3.50 and popcorn for $2.75, the calculation for the remaining allowance will be as follows:

We add these two amounts to find the total spent:

Total spent = $3.50 + $2.75 = $6.25

We then subtract the total spent from the initial allowance:

Remaining allowance = $12.00 - $6.25 = $5.75

Therefore, the student will have $5.75 left for other spending.

Answer = 0 ≤ x ≤ 25

Explanation:  

Break the word equation into two for better understanding  

-20 less than or equal to 2x -20 >>>> -20 ≤ 2x -20

2x -20 less than or equal to 30 >>>> 2x -20 ≤ 30

Keeping in view the question we deduce the equation  

-20 ≤ 2x -20 ≤ 30

Solve and simplify the above equation accordingly, by breaking down the equation

-20 ≤ 2x -20      and   2x -20 ≤ 30

-20+20 ≤ 2x      and   2x ≤ 30 +20

    0 ≤ x (0/2)    and     x ≤ 25 (50/2)

So,    0 ≤ x ≤ 25