Find the percentage change from
40 to 60.

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

Learn more about Exponential growth rate, click;

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Answer:

50 girls

Step-by-step explanation:

Given data

We have the ratio as

7:10

The total part = 7+10= 17

let the number of boys and girls be x

applying the part to all method

7/17= 35/x

cross multiply

7x= 35*17

7x=595

x=595/7

x= 85

Hence the number of girls is

=85-35

=50 girls

Answer:

30

Step-by-step explanation:

x=30 (being corresponding angle)

Answer:

25/48 = 30/x

25x = 1440

x = 57.6

Answer:

can you show a pic tell me in the comments

Step-by-step explanation:

Answer:

Terry Clayton tiene un contrato de arrendamiento por tiempo indefinido para un SUV. El arrendamiento cuesta $ 421.38 por 48

meses. Pagó un depósito de $ 2,500, una tarifa de título de $ 85 y una tarifa de licencia de $ 235. Al final del arrendamiento, puede comprar el vehículo por su valor residual de $ 15,644. ¿Cuál es (a) la

cantidad total de pagos y (b) el costo total del arrendamiento?

Step-by-step explanation:

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

Answer:

x > 12

Step-by-step explanation:

9x>108

x> 108/9

x > 12

Answer:

[tex] \boxed{ \tt{x > 12}}[/tex]

Step-by-step explanation:

[tex]9x > 108 \\ x > \frac{108}{9} \\ x > 12[/tex]

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 26 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 26 × 5 = 13 × 5 = 65 ft² → B

Answer:

Unique triangle.

Step-by-step explanation:

If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.

each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be

Answer:

2^7

2x2x2x2x2x2x2 = 2^7

Answer:

b. -6 and 6

Step-by-step explanation:

Answer:

B. -6 and 6.

Step-by-step explanation:

It's shown that -2 and 2 are the inputs on this particular equation. That means they are the x values they want you to find the corresponding y value for. So, you can solve these by just plugging in the numbers. So, replace x in the original equation with -2 and 2 and then evaluate. [tex]f(x)=3 *-2=-6[/tex] and [tex]f(x) = 3*2=6[/tex]. Good luck!

Answer:

Situation B

Step-by-step explanation:

Which situation will get you a greater number of servings? (Lesson 4)

Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.

2/3 cup = 3 quarts

1 cup = x quarts

Cross Multiply

2/3 cup × x = 1 cup × 3 quarts

x = 3 ÷ 2/3

x = 3 × 3/2

x = 9/2

x = 4 1/2 quarts

Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.

3/4 cup = 4 quarts

1 cup = x quarts

Cross Multiply

3/4 cup × x = 1 cup × 4 quarts

x = 4 quarts ÷ 3/4 cups

x = 4 quarts × 4/3 cups

x = 16/3 quarts

x = 5 1/3 quarts

Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00

Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

Answer: 4x -8+ 125x -4x +5

Answer:

10 2 28

9 3 30

8 4 32

7 5 34

6 6 36

Answer: 3.5 miles

Step-by-step explanation:

C=2 √πA = 2 x √π x 1 = 3.5

Answer: [tex]6/8, 9/12, 12/16, 15/20[/tex] and so on

Step-by-step explanation:

Answer:

There are many ratios equivalent to 3:4. For example, 6:8, 9:12, 12:48, 15:20, 18:24

Step-by-step explanation:

Answer:

1,3,4

Step-by-step explanation:

Just did it

Step-by-step explanation:

The answer is B and C

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