a varies jointly as the square root of the product of b and c. if a = 24 when b = 8 and c= 2 , find v when a = 48 and c = 4​

Answer:

\(b+3+60\) → \(No\)

\(-30-24z\) → \(No\)

\(27n+66p\) → \(Yes\)

\(36-9j+3k\) → \(Yes\)

\(---------\)

hope it helps...

have a great day!!

The number of bacteria present at the end of 6 hours is approximately 8,247.

To solve this problem, we need to use the formula for exponential growth, which is: N = N0 * e^(rt) where N is the final number of bacteria, N0 is the initial number of bacteria, r is the growth rate (in this case, 0.03), t is the time (in hours).

Using the given values, we can plug them into the formula: N = 6,000 * e^(0.03*6) Simplifying this expression, we get: N ≈ 8,247 Therefore, at the end of 6 hours, there will be approximately 8,247 bacteria in the culture.

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Answer:

the probability is 1/2

Step-by-step explanation:

the probability of a child being a boy is 1/2, if at least one of them is already a boy, then the probability of both being boys, which amounts to saying that the other is also a boy, is 1/2

The required  the probability that accidents occur no more than 2 days in 8 days is 0.144.

Probability is tied in with assessing or computing how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'logical'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.

We have,

Probability(p) of lost-time accidents occur in a company at a mean rate of 0.5 per day.

Then, the Probability(q) of accident is not occur is 1 - 0.5 = 0.5.

The likelihood that a mishap doesn't happen (q) is then determined utilizing the accompanying supplement rule.

p =0.5 , q = 0.5

Each probability is calculated using:

P = ⁿCₐpᵃqⁿ⁻ᵃ

The probability that accidents occur no more than 2 days in 8 days is

P(x≤2) = P(0) + P(1) + P(2)

P(x≤2) = ⁸C₀p₀p⁰q⁸⁻⁰ + ⁸C₁p¹q⁸⁻¹ + ⁸C₂p²q⁸⁻²

P(x≤2) = (0.5)^8 + 8(0.5)(0.5)^7 + 28(0.5)^2(0.5)^6

P(x≤2) = 37(0.5)^8

P(x≤2) = 37(0.00390625) = 0.144

Hence, the probability that accidents occur no more than 2 days in 8 days is 0.144.

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Answer:

80

Step-by-step explanation:

5*16 = 80

Hence, the Marc has the number of cups are \(80\).

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The most basic and common algebraic equations in math consist of one or more variables.

Here given that,

Marc is filling one-cup containers with juice. He has five gallons of juice.

As we know,

\(1gallon=16cups\)

So, it would be \(5(16)=80\).

Hence, the Marc has the number of cups are \(80\).

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Step by step:

A:

2x+8=-3.5x+19

2x+3.5x=19-8

5.5x=11

x=2

B:

9(x-2)=7x+5

9x-18=7x+5

9x-7x=5+18

2x=23

x=11.5

C:

3(3x+2)-2x=7x+6

9x+6-2x=7x+6

7x+6=7x+6

No solution

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Exponential function, in mathematics, a relation of the form y = \(a^x\), with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given:

f(x) = 9628(0.92)ˣ

A)The general formula for an exponential function is

y = a\(b^x\), where b = the base of the exponential function.

if b < 1, we have an exponential decay function.

So, ƒ(x) decreases as x increases.

Thus, Account A is decreasing each year.

B) Now, the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08

b = 8 %

The account is decreasing at an annual rate of 8 %.

The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

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Given the following equation:

You can solve for "x" by following these steps:

1. You must distribute the negative sign of the left side of the equation:

2. Now you need to add the like terms of the left side of the equation:

3. Apply the Subtraction property of equality by subtracting 7 from both sides of the equation:

4. Finally, you can apply the Division property of equality by dividing both sides of the equation by -2:

The answer is:

Answer: the slope is 2!

Step-by-step explanation:

Answer:

slope: 2

Step-by-step explanation:

use this formula: 11- 3/6-2 = 2

Answer:

Collen: 12h+44

Maureen: 15h+35

Step-by-step explanation:

For Collen, 44 dollars is the initial pay per project, then $12 every hour

For Maureen, 35 dollars is the initial pay per project, then $15 every hour

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Answer:

  79 +27h

Step-by-step explanation:

If both contractors are hired, the company will pay the sum of their costs.

  cost for Collen: 44 +12h

  cost for Maureen: 35 +15h

  cost for both: (44 +12h) +(35 +15h) = 79 +27h

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

Attached is the image to help you find the answer.

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

12 red marbles.

Step-by-step explanation:

No step by step explanation.

Answer:

D.

Step-by-step explanation:

the dot is right in between zero and one, which makes it 0.50

Answer:

D. 0.50

Between 0 and 1 is 0.50 or 0.5 or \(\frac{1}{2}\)

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

The missing number is 81.

Consider the expression\[x^2 18x \boxed{\phantom{00}}.\]

We have to find all the possible values of the missing number that makes this expression a square of a binomial. To find the value of the missing number we have to divide the coefficient of the x term by 2 and then square it. The value that we obtain will be the value of the missing term.

So, the coefficient of x is 18.

Let's use the formula now:\[\text{Missing term }= \left( {\frac{{18}}{2}} \right)^2 = 9^2 = 81\]

Therefore, the missing number is 81.

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Step-by-step explanation:

As you know

\( a_{n} = a_{1} \times {r}^{n - 1} \)

1.

\(3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}\)

2.

\(2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}\)

3.

\( - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} \)

King , queen and jack of diamond are removed from a deck of 52 cards  Remaning=52−3=49

1.      Total card of diamond  =13

King , queen and jack in removed

Then card  =13−3=10

P(E)=P(Diamondcard

49

10

​

2.  P(Jack)=

Totalcard

TotalJackinDeck

​

 =

49

3

​

Given a linear system of equations in unknowns x, y, and z with the following augmented matrix:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}Use Gauss-Jordan elimination to solve the system for x, y, and z.Solution:Step 1. The first step in solving this linear system of equations is to write the matrix in the form of an augmented matrix. In the following, we list the system of equations associated with the augmented matrix: 1x−1y=−72x+3y=24z−y=1  We begin by focusing on the first equation, which is:1x−1y=−7.

To get rid of the x-coefficient, we add one time the first equation to the second equation. This operation is written as follows:{[1, -1, 0, 0, -7], [-2, 3, 0, 0, 2], [0, 0, 4, -2, 2]}We add row1 to row2. -2r1 + r2 = r2{-2, 2, 0, 0, 14}r3 = r3This gives us the new augmented matrix.{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}Step 2Next, we focus on the second equation:0x+1y=−5.

The y-variable is isolated, and we now look at the third equation.4z−2y=1We can isolate the variable z by dividing the entire equation by 4 as follows:z−0.5y=0.25In order to eliminate y in the third row, we add 0.5 times the second row to the third row. This operation is written as follows:{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -2, 2]}We add 0.5 r2 to r3. r3 + 0.5r2 = r3{[1, -1, 0, 0, -7], [0, 1, 0, 0, -5], [0, 0, 4, -1, -1]}Step 3We can now solve for z using the third equation:4z−1y=−1z = (-1 + y) / 4.

Substituting this into the second equation gives:-2((1 - y) / 4) + 3y = 2y - 1 = 2y - 1Thus, y = 1/2.Substituting the value of y = 1/2 into the first equation gives:x - (1/2) = -7, so x = -13/2.Finally, we can substitute the values of x and y into the third equation to get the value of z: 4z - 1(1/2) = -1, so z = -3/2.The solution to the system of linear equations is: x = -13/2, y = 1/2, and z = -3/2.

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The annual growth rate is 23.81%

The annual growth rate is the percentage increase of the production or an investment over a year. It's the annualized growth rate of the output.The formula for the annual growth rate is given as:

Annual Growth Rate = (1 + r)^(1 / n) - 1

Where,‘r’ is the growth rate, and‘n’ is the number of periods considered.

The percentage increase in the output over seven years is given as 21.6%.

The annual growth rate can be calculated as:

(1 + r)^(1 / n) - 1 = 21.6 / 7Or (1 + r)^(1 / 7) - 1 = 0.031

Therefore, (1 + r)^(1 / 7) = 1 + 0.031r = [(1 + 0.031)^(7)] - 1 = 0.2381

The annual growth rate is 23.81% (approx) in percent terms.

Therefore, the answer is "The annualized growth rate is 23.81%."

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Answer:

The slope of the equation is 23

Step-by-step explanation:

First, we must simplify/solve the equation in order to find the slope

Let's get rid of the parentheses

y - 5 = 23x + 92

Then, combine like terms by moving 5 to the right side of the equation

y - 5 + 5 = 23x + 92 + 5

y = 23x + 97

The slope is always the number that is paired with "x"

Answer:

LOOK BELOW!

Step-by-step explanation:

6#

6.  (-3, 0)

7. (-1, -2)

8. (-5, -3)

9.  (1, -1)

10.  (1, -2)

how did I get these answers? I used a app called math - way, you can take a photo of the problem youre tryna do an it solves it, yw! :)

\(\huge\underline\mathbb\purple{ANSWER\::}\\\\\)

6. (-3,0)

7. (-1,-2)

8. (-5,-3)

9. (1,-1)

10. (1,-2)

\(\\\\\\\)

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Answer:

l = Square root of 10

Answer:

B.61kg

Step-by-step explanation:

use the formula

force÷acceleration=mass

183÷3=61kg

Answer:

I can't see the statement

Step-by-step explanation:

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.