In a mathematical statement, ____ usually means “multiplication.”

• base
• is
• of
• percent

Based on the equation for gravitational force, the value of radius (r) is equal to r = √(GM₁M₂/F).

A gravitational force can be defined as a universal force of attraction which acts between two (2) physical objects, especially by pulling them together.

Mathematically, the gravitational force between two (2) planetary objects is given by this formula:

F = GM₁M₂/r²

Where:

Making r the subject of formula, we have:

Fr² = GM₁M₂

Divide both sides by F, we have:

r² = GM₁M₂/F

Taking the square root of both sides, we have:

r = √(GM₁M₂/F)

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Answer:

2/5= 0.4 and 4/5= 0.8

Step-by-step explanation:

Answer:

4400

Step-by-step explanation:

to solve this we should first put them in an equation

0.55 * 8000

because there are 3 zeros after the second number we can first put three 0s

?000

then multiply 8 by 55

440

then add that to the 000

440000

now because the first number as 2 decimal points we take the invisible decimal point at the end and move it to the left two

440000. --> 4400.00

which is also

4,400

that is your answer

Answer:

No, it is less than both of the fractions.

Step-by-step explanation:

Multiply the two fractions

[tex]\frac{8}{9}[/tex] x [tex]\frac{3}{7}[/tex] = 0.380952381

Figure out the value of the two fractions

[tex]\frac{8}{9}[/tex] = 0.8888888889

[tex]\frac{3}{7}[/tex] = 0.4285714286

Reduce/Simplify:

0.380952381 = 0.38

0.8888888889 = 0.89

0.4285714286 = 0.43

The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

We want to find the expression that is equivalent to the quantity nine raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power. This is written as;

(9⁻² * 3⁵)⁻²

According to laws of indices, we know that;

(a²)³ = a²*³ = a⁶

Thus;

(9⁻² * 3⁵)⁻² = (9⁻²)⁻² * (3⁵)⁻²

⇒ 9⁴ * 1/3¹⁰

⇒ 9⁴/3¹⁰

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Answer: 168

Step-by-step explanation:

f(1) = -2

The relationship between x and y-values can be represented through a function.

Function Notation

Function notation is one way to write out an equation. In this notation, f(x) represents the y-value at a specified x-value. Thus, f(1) equals the y-value when x is 1. Many times f(x) will be replaced with variable y. So, another way to write the function above is y = -x - 1.

Solving For f(1)

To find f(1), plug 1 into the equation for x.

Now, you can easily solve the equation.

a) the minimum number of hikers who could have walked between 6 miles and 17 miles is 9 as it lies in the common interval of 10 ≤ x ≤ 15.

b)  the maximum number of hikers who could have walked between 6 miles and 17 miles is 19.

When the derivative equals 0, rearrange the function using elementary algebraic principles to find the value for x. The x-coordinate of the function's vertex, which is where the maximum or lowest will occur, is provided in this answer. the solution back into the original function to determine the minimum or maximum.

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y intercept - area of the bell pepper patch when the length of the tomato patch is 0. because y intercept when the value of x is 0.

Range - all possible areas of the tomato patch. because range is the value of all possible outcomes based on the set of input.

x intercept - area of the tomato patch when the length of the bell pepper patch is 0. because x intercept when the value of y is 0.

we plot as

y = area of bell pepper.

x = area of tomato patch.

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Answer:

  a. h(4) = -207

  b. h(-2y) = 24y³ +12y +9

  c. h(5b+3) = -375b³ -675b² -435b -90

Step-by-step explanation:

You want the simplified form of h(y) = -3y³ -6y +9 for using 3 different values of y.

The expression is evaluated by putting the argument where y is, then simplifying the resulting expression.

  [tex]h(4)=-3(4)^3 -6(4) +9 = -3(64) -24 +9\\\\\boxed{h(4) = -207}[/tex]

  [tex]h(-2y)=-3(-2y)^3-6(-2y)+9=-3(-8y^3+12y+9\\\\\boxed{h(-2y)=24y^3+12y+9}[/tex]

  [tex]h(5b+3)=-3(5b+3)^3-6(5b+3)+9=-3(125b^3+225b^2+135b +27) -30b-18+9\\\\\boxed{h(5b+3)=-375b^3-675b^2-435b-90}[/tex]

__

Additional comment

It can be useful to remember that ...

  (a +b)³ = a³ +3a²b +3ab² +b³

Hence , on solving 7x - 3 < - 52 the value of x lies in interval (-∞ , 7) and on solving -5x - 2 < 28 the value of x lies in interval (-6 , ∞)  .

We have given two inequalities 7x - 3 < - 52 and -5x - 2 < 28

On solving 7x - 3 < - 52 , we get

      7x < 3 - 52

      7x < 49

       x < 7

Therefore, x could be any number less than 7.

In interval notation , it is given by (-∞ , 7) .

On solving -5x - 2 < 28 , we get

      -5x < 2 + 28

      -5x < 30

       -x < 6

Multiplying by negative sign , inequality changes

 x > -6

Therefore, x could be any greater than -6.

In interval notation , it is given by (-6 , ∞) .

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          =  [tex]logx-{\frac{1}{2} log(x^2 + 3 )[/tex]

Step-by-step explanation:

Given that

            [tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]

To find

So, according to the question

we have,

            [tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]

We know that,

    ∵ log(m.n) = logm + logn

Now using this property to solve that logarithmic equation

          =  [tex]log(x.(x^2 + 3 )^{\frac{-1}{2} })[/tex]

          =  [tex]logx+log(x^2 + 3 )^{\frac{-1}{2} }[/tex]

We know that,

    ∵ log(mⁿ) = nlogm

Now using this property to solve that logarithmic equation

          =  [tex]logx+log(x^2 + 3 )^{\frac{-1}{2} }[/tex]

          =  [tex]logx+({\frac{-1}{2} )log(x^2 + 3 )[/tex]

          =  [tex]logx-{\frac{1}{2} log(x^2 + 3 )[/tex]

This is the the solution of given logarithmic equation.

Logarithmic equation.

Answer:

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Answer:

126

Step-by-step explanation:

→ Find the sum of the angle

x + x - 35 + x - 46 + 0.5x = 3.5x - 81

→ Equate to 360

3.5x - 81 = 360

→ Add 81 to both sides

3.5x = 441

→ Divide both sides by 3.5

x = 126

answer:

the solution is

From the given sets we get A’∩ (B∪C’) = {2,8,9}.

Given the universal set U= {1,2,3,4,5,6,7,8,9}

A = {1,5,6,7}

B = {1,2,7}

C= {2,3,4,6,7}

A’ (A not) means to remove all the elements of set A from the universal set U

A∪B (union of A and B) means to write all the elements of both the sets but to not repeat the single element

A∩B (intersection of A and B) means to write only the common elements of both the sets

A’ = {2,3,4,8,9}

C’ = {1,5,8,9}

First we need to find out B∪C’ which means the union of B and C’

B∪C’ = {1,2,5,7,8,9}

Now we need to find A’ (B∪C’) = {2,8,9}

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Answer:

25

62.5

1.25

hope this helps

Answer:

Step-by-step explanation:

$12.50=10b

so 20$=(20)10/12.5=16

50$=(50)10/12.5=40

1$=(1)10/12.5=0.8

The value of the expression is 29

The expression is given as

(2 - 5i)(p + q)

Where

p = 2

q = 5i

Substitute these values in (2 - 5i)(p + q)

So, we have

(2 - 5i)(p + q) = (2 - 5i)(2 + 5i)

Apply the difference of two squares

(2 - 5i)(p + q) = 4 - (-25)

Evaluate the difference

(2 - 5i)(p + q) = 29

Hence, the value of the expression is 29

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The circumference and the area of the circular flower bed is 31.4285 feet and .

The space a circle takes up in a two-dimensional plane is known as the area of the circle.

given that A gardener makes a new circular flower bed the bed is 10 feet in diameter.

so, the diameter of circular flower bed is 10 feet.

the radius of the circular flower bed is 5 feet.

Now find the circumference of the circular flower bed .

the circumference of Circle formula is

circumference (C) = 2πr

C = 2 X 22/7 X 5

C = 31.4285 feets.

so, 31.4285 feets is the circumference of the circular flower bed.

now, find the area of circular flower bed.

The area of the circle formula is

[tex]A = \pi \: {r}^{2} [/tex]

[tex]A = \frac{22}{7} \times {5}^{2} [/tex]

A = 78.5714 feets.

so, 78.5714 feets is the area of the circular flower bed.

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Answer:

10 degree will be the answer.. buddy..

Answer:

If there is no additional contribution during these 8 years your balance will be $352.23

Step-by-step explanation:

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so let's use those two points off the curve in order to get it, check the picture below.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{1}{3 +3}\implies {\LARGE \begin{array}{llll} \cfrac{1}{6} \end{array}}[/tex]

The distance of Proxima Centauri, which is 4.3 light years away can also be expressed in miles is equivalent to 253.7 x 10¹¹ miles from solar system.

A star is an astronomical object comprising a luminous spheroid of plasma held together by its gravity. The nearest star to Earth is the Sun

Given that a star named Proxima Centauri is 4.3 light-years away. Therefore, we can write that -

Distance [D] = 4.3 light years

The Proxima Centauri is 4.3 light - years away. As given in the question that  light-year is the distance that light travels in one year and 1 light year is equal to 5,900,000,000,000 miles. Therefore in 4.3 light years, there will be -  

D [miles] = 4.3 x 59x 100,000,000,000 = 253.7 x 10¹¹ miles

Therefore, the Proxima Centauri is 253.7 x 10¹¹ miles away.

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Answer: The equation given is not in slope-intercept form, which is y=mx+b. The equation for the line which passes through the given points is y = 7/10x - 3/5.

Answer:

5 tomato and 14 pineapples