what is the amount of 839k in thousands​

Answer:

10

Step-by-step explanation: divide 2 by 20

Answer:

sqrt(1/m+4)

Step-by-step explanation:

n^2-1/m=4

n^2=1/m+4

n=sqrt(1/m+4)

The value of the equation is n = √ ( 4 + 1/m )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

n² - 1/m = 4   be equation (1)

On simplifying the equation , we get

Adding 1/m on both sides of the equation , we get

n² = 4 + 1/m

Taking square roots on both sides of the equation , we get

n = √ ( 4 + 1/m )

Therefore , the value of n is √ ( 4 + 1/m )

Hence , the equation is n = √ ( 4 + 1/m )

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Answer:

Step-by-step explanation:

Unit Conversion:

d=0.042m

Using the formulas

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·0.0422≈1.38544×10-3m²

Answer:

Step-by-step explanation:

Recall that the argument of the square root function y = √x must always be 0 or greater.

If you meant y=√x+8 -7, the domain is therefore [0, infinity).

But if you meant y=√(x+8) -7, the domain is [-8, infinity).

Those parentheses are important!

Answer:

3·2 - 3·b = 6 - 3b

Step-by-step explanation:

You "distribute" the 3 over the 2 and the -b.

Answer:

Step-by-step explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

Answer:

y = -x - 2

Step-by-step explanation:

y-3=-1(x+5)

Expand.

y - 3 = -1x - 5

Add 3 on both parts.

y - 3 + 3 = -1x - 5 + 3

y = -1x - 2

The length of the bridge in yards is 6971.36 yards

From the question, we have the following parameters that can be used in our computation:

lake has a length of 3.961 mi.

This means that

Lenght = 3.961 mi.

Use the table of facts to find the length of the bridge in yards, we have

1 mile = 1760 yards

Substitute the known values in the above equation, so, we have the following representation

3.961 * 1 mile = 3.961 * 1760 yards

Evaluate the products

3.961 miles = 6971.36 yards

Recall that

Lenght = 3.961 mi.

So, we have

Lenght = 6971.36 yards

Hence, the length is 6971.36 yards

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The inequality to determine the number of sets of glasses is

166 + 18x ≥ 643

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number of glasses available = 166

Number of glasses needed at the least = 643

Number of glasses in a set = 18

Now,

The number of sets of glasses to have enough glasses.

166 + 18x ≥ 643

18x ≥ 643 - 166

18x ≥ 477

x ≥ 26.5

Thus,

The number of sets of glasses required is 27.

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Answer:

5p

Step-by-step explanation:

if p=7, 5p=35

Answer:

5p

Step-by-step explanation:

Answer:

A. Three inches

Step-by-step explanation:

Exact amount is: 2.84765625

Answer:

ok

Step-by-step explanation:

i dont even know

Answer: the first answer choice

Step-by-step explanation:

Answer:

i think its the bottom one but i dont know

Step-by-step explanation:

The water level is rising at a rate of 32 ft/min when the water is 6 inches deep.

How to solve rise of water level?

Let's first draw a diagram to better understand the problem:

            /|\

           / | \

          /  |  \

         /   |h \

        /    |   \

       /     |    \

      /      |     \

     /       |      \

    /        |       \

   /         |        \

  /_________|

       b

where h is the height of the water, b is the width of the trough at water level, and 10 is the length of the trough.

Since the trough is being filled at a rate of 12 ft³/min, the volume of water in the trough is increasing at a rate of 12 ft³/min. Let's use this to find the rate at which the water level is rising.

The volume of water in the trough is given by the formula:

V = (1/2)bh²

where b is the width of the trough at water level, h is the height of the water, and 1/2 is the area of the triangular cross-section of the trough. We want to find the rate at which h is changing when h = 6 inches = 0.5 ft.

Differentiating both sides of the formula with respect to time t, we get:

dV/dt = (1/2)(db/dt)(h^2) + (1/2)(b)(2h)(dh/dt)

where db/dt is the rate at which the width of the trough at water level is changing, and dh/dt is the rate at which the water level is changing (i.e., the rate we want to find).

We know that dV/dt = 12 ft³/min and h = 0.5 ft. We also know that the width of the trough at the water level is 3 ft. To find db/dt, we need to use similar triangles. The triangle formed by the water and the sides of the trough is similar to the isosceles triangle at the end of the trough. Therefore, the ratio of the width of the trough at the water level to the height of the water is constant:

b/h = 3/1

Solving for b, we get:

b = 3h

on diffrentiating

db/dt = 3(dh/dt)

Substituting the values we know into the formula for dV/dt, we get:

12 = (1/2)(3h)(h²) + (1/2)(3h)(2h)(dh/dt)

12 = (3/2)h³+ 3h²(dh/dt)

4 = h²(dh/dt)

Solving for dh/dt, we get:

Therefore, the water level is rising at a rate of 32 ft/min when the water is 6 inches deep.

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Answer:

When the radius of a circle is increasing while the magnitude of a central angle is held constant, the length of the intercepted arc is also increasing.

To see why this is the case, let's consider the formula for the length of an arc, which is given by:

s = rθ

where s is the length of the intercepted arc, r is the radius of the circle, and θ is the central angle in radians.

If the radius is increasing but the magnitude of θ is held constant, then the length of the intercepted arc will increase as well. This is because s is directly proportional to r; as r increases, s will also increase.

To see this more concretely, imagine drawing a circle on a piece of paper with a certain radius and then drawing a central angle that intercepts a certain arc length. If we then increase the radius of the circle while keeping the central angle the same, the arc length will increase proportionally to the increase in radius. This is because the same central angle will now subtend a larger arc on the circle, since the circle is larger.

Therefore, when the radius of a circle is increasing while the magnitude of a central angle is held constant, the length of the intercepted arc is increasing as well.

Step-by-step explanation:

The expressions formed are,

Formation of expressions in 1, 2 and 3:

In 1, twelve times f is, 12f

Taking away 5, it becomes (12f-5)

In 2, sum of k and 6 is, (k+6)

One-half of the above quantity is, (k+6)/2

In 3, sum of 5 with x is, (x+5)

Now, x squared minus the above expression indicates (x²-x+5)

Formation of expressions in 4 and 5:

In 4, product of a and b, is ab and 3 times c is 3c

Sum of the expressions evaluated in the previous statement = ab+3c

In 5, 24 times the product of x and y is, 24xy

Adding, g in the above computed expression, we get, 24xy+g

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Answer:

12

Step-by-step explanation:

144/16=9

Each child gets sixteen coins if there are nine children.

9+3=12

There are three more children so there are twelve.

Answer:

\(\sqrt{87} = 9.3273790....\) = 9.38 (rounds to 2 d.p)

Answer:9.38

√87 = 9.32737905309

since 87 is not a perfect square, the square root is a decimal.

hope it helps.

Hence, the value of  variable in the given expression x is 8

An angle is formed when two straight lines  meet at a common endpoint.

∠1 = 7x - 4

∠2 = 3x + 28

A secant line that crosses two parallel lines produces these angles. After that, these angles were congruent, which means that their measures are equal.

Then, equaling  both given expressions and solving for x,  we get:

Step1: subtract 3x both sides

7x - 4 = 3x + 28

Step2: add 4 both sides

7x - 3x - 4 = 28

Step2: simplify like terms

7x - 3x = 28 + 4  

Step3: divide by 4 both sides

4x = 32  

x = 32/4

x = 8

Hence, the value of x is 8.

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Answer:

Log 8 a - Log 8 2

Step-by-step explanation:

the 8 thing is the number under btw

plz brainliest :)

Answer:1. C2. D3. A4. A5. D6. B7. A

Step-by-step explanation:

The equation that is approximately 13.52 milligram remains is f(x) = 50(0.5)⁽¹⁰/⁵°³)

Equation:

Equation also known as expression is the combination of numbers, variables and mathematical operators.

Given,

The function gives the mass, m, of a radioactive substance remaining after h half-lives. Cobalt-60 has a half-life of about 5. 3 years.

Here we need to find the equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain.

Here we know that, when the mass is 50 mg, it means that:

=> m = 50

So, the equation is written as,

=> f(x) = 50(0.5)⁽ᵃ/ᵇ⁾

Here they said that when 10 years remain in the life of the substance, it means that:

So, the value of t = 10 and the value of half life is 5.3

Then the equation is rewritten as,

=> f(x) = 50(0.5)⁽¹⁰/⁵°³⁾

To evaluate the equation

f(x) = 13.52

Therefore, the required equation is f(x) = 50(0.5)⁽¹⁰/⁵°³) and approximately 13.52  milligram remains

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Answer:

Step-by-step explanation:

y=3x^2+12x = 3x (x+4)

zeroes: x={0, -4}

y = x^2+20x+100 = (x+10)^2

zeroes: x = -10 (twice)  

or x={-10, -10}

The expression obtained by simplifying is 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9.

What is an expression?

A mathematical expression consists of its own components, at least two additional variables or integers, and one or more arithmetic operations.

We are given an expression as

(\(x^{2}\) + 6x + 9) (3x - 1)

Now, for simplifying the expression, we will multiply the terms.

So, we get

⇒ (\(x^{2}\) + 6x + 9) (3x - 1)

⇒ 3\(x^{3}\) - \(x^{2}\) + 18\(x^{2}\) - 6x + 27x - 9

Now, by combining the like terms, we get

⇒ 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9

Hence, the expression obtained by simplifying is 3\(x^{3}\) + 17\(x^{2}\) + 21x - 9.

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Question: Simplify the following

(x² + 6x + 9) (3x - 1)

Answer:-3\2

Step-by-step explanation:

slope is difference y axis by x axis

4-12/-2+6=-6/4=-3\2

Answer: Alternate exterior angles

Step-by-step explanation:

Answer:

(6x+1)^2

Step-by-step explanation:

Factor using the perfect square rule.

The value of the given integral function using additive property is equal to 7.

Use the additivity property of integrals to find the value of the definite integral \(\int_{1}^{4}f(x) dx\),

\(\int_{1}^{4}\)f(x) dx = \(\int_{0}^{4}\)f(x) dx - \(\int_{0}^{1}\)f(x) dx

= \(\int_{0}^{2}\)f(x) dx + \(\int_{2}^{4}\)f(x) dx - \(\int_{0}^{1}\)f(x) dx

= (3) + \(\int_{2}^{4}\)f(x) dx - (-1)

= 4 + \(\int_{2}^{4}\)f(x) dx

Now,

Find the value of the integral\(\int_{2}^{4}\)f(x) dx.

use the additivity property of integrals again,

\(\int_{2}^{4}\)f(x) dx =\(\int_{2}^{3}\)f(x) dx + \(\int_{3}^{4}\)f(x) dx

= \(\int_{0}^{4}\)f(x) dx - \(\int_{0}^{2}\)f(x) dx - \(\int_{1}^{3}\)f(x) dx

= 9 - 3 - (\(\int_{0}^{1}\)f(x) dx + \(\int_{1}^{2}\)f(x) dx + \(\int_{2}^{3}\)f(x) dx)

= 9 - 3 - (-1 + \(\int_{0}^{2}\)f(x) dx - \(\int_{0}^{1}\)f(x) dx)

= 9 - 3 - (-1 + 3 - (-1))

= 3

\(\int_{1}^{4}\)f(x) dx

= 4 +\(\int_{2}^{4}\)f(x) dx

= 4 + 3

= 7

Therefore, the value of the integral ∫(1^4)f(x) dx is 7.

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The above question is incomplete, the complete question is:

calculate the integral \(\int_{1}^{4}f(x) dx\), assuming that \(\int_{0}^{1}f(x) dx\)=−1, \(\int_{0}^{2}f(x) dx\)=3, \(\int_{0}^{4}f(x) dx\) =9.

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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