Given a rectangular prism with width and height = 4x and length = 10x-6. The expression for the surface area of the rectangular prism shown in the picture is 2[(4x)(4x)] 4[(10x - 6)(4x)]. Simplify this expression.

The best point estimate for the mean GPA for all residents of the local apartment complex would be 1.6.

Given, the mean GPA for the 127 residents of the local apartment complex is 1.6.

The mean or sample mean is used as a point estimate for the population mean or population parameter when the value of the mean of the sample is unbiased and accurately represents the mean of the population.

Here, we are given the mean GPA of 127 residents of the local apartment complex, which is 1.6.

Therefore, the best point estimate for the mean GPA for all residents of the local apartment complex would be 1.6.

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Step-by-step explanation:

hello,

in fraction form, 9:x = 9/x

and 54:8 = 54/8

to find the multiplier, simply divide 54 by 9 thus,

54/9 = 6

hence, 9 * 6 = 54

x * 6 = 8

x = 8/6

x = 4/3

hope this helps you! au revoir!

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The solution gauss jordan elimination method is : (x1, x2, x3) = 2, 3 , 0

Given system of linear equations:

2x1 − x2 − x3 = 1

3x1 + 2x2 + x3 = 12

x1 + 2x2 + 2x3 = 8

Now,

Form the augmented matrix for the system,

\(\left[\begin{array}{cccc}2&-1&-1&1\\3&2&1&12\\1&2&2&8\end{array}\right]\)

Reduce the augmented matrix in the row echelon form,

Thus the matrix is:

\(\left[\begin{array}{cccc}1&0&0&2\\0&1&0&3\\0&0&1&0\end{array}\right]\)

Now the given system of linear equation changed to,

x1 = 2

x2 = 3

x3 = 0

Then the solution of system of linear equation is (2 , 3 , 0) .

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Answer:

3.3 + 2.4

Step-by-step explanation:

3.3 + 2.4=5.7

Answer:

I am not sure if this is right but I will give it a go.

My answer is 2.9 + 2.8 = 5.7

Step-by-step explanation:

Answer:

335

Step-by-step explanation:

multiply it by 2 and 3 respectively

Answer:

y=x+3

Step-by-step explanation:

The equation "y=x+3" cannot be written in the form y=kx because the form doesn't use addition as a basic operation. Let's try verifying the choices:

y=x is possible if the value of k is 1, provided that both y and x are of the same value.

y/2=x is possible because y=2x, provided that 2 is the value of k.

y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.

Eugene runs at a rate of 4 miles per hour. Brianna runs $\frac{2}{3}$ as fast as Eugene. Katie runs $\frac{7}{5}$ as fast as Brianna. The task is to determine Katie's running speed.

Given that Eugene runs at a rate of 4 miles per hour, we can determine Brianna's running speed by multiplying Eugene's speed by $\frac{2}{3}$ since Brianna runs $\frac{2}{3}$ as fast as Eugene. Therefore, Brianna's running speed is $\frac{2}{3} \times 4 = \frac{8}{3}$ miles per hour.

Next, to find Katie's running speed, we multiply Brianna's speed by $\frac{7}{5}$ since Katie runs $\frac{7}{5}$ as fast as Brianna. Thus, Katie's running speed is $\frac{7}{5} \times \frac{8}{3} = \frac{56}{15}$ miles per hour.

Therefore, Katie runs at a speed of $\frac{56}{15}$ miles per hour.

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Liam has 19 chairs.

Let x be the number of chairs Liam has.

According to the problem, x = 4a + 3 and x = 2b + 19 for some integers a and b.

Equating these two expressions, we get:

4a + 3 = 2b + 19

4a - 2b = 16

2a - b = 8

Therefore, b = 2a - 8.

Substituting this expression for b into x = 2b + 19, we get:

x = 4a + 35

Now, since x = 4a + 3, we have:

4a + 3 = 4a + 35 - 32

Therefore, x = 4a + 35 = 2(2a + 4) + 3 = 2b + 19, where a = 4 and b = 11.

Thus, Liam has x = 4a + 3 = 4(4) + 3 = 19 chairs.

The solution to this problem involves the use of two key mathematical concepts: algebraic equations and systems of equations.

We are given two equations in terms of the same variable x, each representing a different way of arranging chairs. By setting these two equations equal to each other, we obtain an equation in terms of x that allows us to find a value of x that satisfies both of the original equations simultaneously. This process of setting two equations equal to each other is an example of solving a system of equations.

To solve the resulting equation, we use algebraic manipulation to isolate the variable x on one side of the equation. This involves a combination of simplification, substitution, and rearrangement of terms. Ultimately, we arrive at a specific value of x that satisfies both equations, which is the answer to the problem.

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In an ideal circumstance, two people using 56k modems could exchange approximately 448,000 bits of digital information in one minute time. This is equal to 56,000 bytes of data per second (56kbps).

In an ideal circumstance, two people using 56k modems could exchange digital information at a rate of 56 kilobits per second (56kbps). To calculate the amount of data transferred in one minute, we need to multiply 56kbps by 60 seconds. This gives us a total of 3,360 kilobits, or 3.36 megabits. Since one byte is equal to 8 bits, we can divide 3.36 megabits by 8 to get the total number of bytes exchanged. This calculation results in 420,000 bytes, or 448,000 bits, of digital information exchanged in one minute of time.

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Answer:

equal to 1

Step-by-step explanation:

I believe this is the answer. Also I see that ur new. Well welcome to Brainly.

Answer:

A=2.5×x

10cm=2.5×x

10÷2.5=2.5÷2.5×x

x=4

The correct answer is

x+9

The scientist descends from 83 feet below sea level to 151 feet below sea level, a change in depth of 151 - 83 = 68 feet. This change occurs over a time of 5 seconds.

The rate of change in depth, or the speed at which the submarine is descending, is given by the ratio of the change in depth to the time taken:

Rate of change in depth = (final depth - initial depth) / time taken

Rate of change in depth = (151 ft - 83 ft) / 5 s

Rate of change in depth = 13.6 ft/s (rounded to one decimal place)

Therefore, the rate of change in the submarine's elevation is 13.6 feet per second.

Answer:

I think the answer is -0.74074074074

Step-by-step explanation:

Answer:

Step-by-step explanation:

(− 8 /9 )( 5 /6 )

=

−8 /9 ( 5/ 6 )

=

−20 /27

Answer: 14

Step-by-step explanation:

38=10+2x

28=2x

x=14

Answer: he needs to sell 28 more bags to sell 120 dollars of popcorn

Step-by-step explanation: I need one more brainliest for the next rank I’d appreciate it

Answer:

I would say its 0,2,4,6,....

Answer:

0,2,4,6....

Step-by-step explanation:

Since only they have the common difference between them, they are in the arithmetic sequence

Hope it helps you

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Thank You

Answer:

2:10 or 1:5

Step-by-step explanation:

Answer: 4 squares to 1 triangle

Step-by-step explanation: both can be divided by two and that is the largest number they can be divided into

The  reverse of multiply by 44 is: 0.02272727.

Instead of multiplying by 44  we can  divide by the reciprocal of 44 reason been that division is the multiplicative reverse. Dividing by a digit is the same things as multiplying by the reciprocal of the digit.

Hence,

reverse of multiply by 44

Let the multiplicative reverse by x

44 (x)=1

x=1/44

x= 0.02272727

Prove:

0.02272727×44

=1

Therefore the  reverse of multiply by 44 is: 0.02272727.

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The total amount of money expected to be received by Bank 1 can be calculated by considering the monthly installment and the period of time for the loan repayment, both of which are the same as the car hire company. The interest rate for Bank 1 is given as 9% p.a.

To determine the total amount of money expected to be received by Bank 1, we need to consider the monthly installment and the period of time for the loan repayment. Since both the installment and repayment period are the same as the car hire company, we can use these values.
Let's assume the loan amount is 'L' and the monthly installment is 'I'. The total number of monthly installments will be 'n'. With an interest rate of 9% p.a., the monthly interest rate for Bank 1 will be 9%/12 = 0.75% per month.
Using the loan formula for the total amount payable, we have the equation: Total Amount = Loan Amount + Total Interest. The loan amount is 'L', and the total interest can be calculated by multiplying the monthly installment by the number of installments and subtracting the loan amount.
Therefore, the total amount of money expected to be received by Bank 1 can be calculated by adding the loan amount to the total interest.

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Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

Answer:

24 would prefer CREST

6 woul NOT prefer Crest

Step-by-step explanation:

4:5=x:30

Answer:

Step-by-step explanation:

2x + 3y = 1240       and    x = 2y - 10

so:

                 +20         +20

                       ÷7       ÷7

(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

I. Polar form = (r,θ) = (7.28,254.05°)

z = 2 - i7

r= \(\sqrt{ 2^2+-7^2}\)

= √53

 = 7.28

θ = tan^-1 (-7/-2)

  =3.5

  = 74.05

Point lies in the third quadrant

Hence θ = 180+74.05

              = 254.05°

Polar form = (r,θ) = (7.28,254.05°)

II. Z=16

De Moivre's theorem states if

z= r(cos(θ) + i sin (θ)) , then

\(z^2=r^2(cos(n\theta)+ i sin (n\theta))\)

\(r= \sqrt{1^2+1^2}\)

= √2

θ= arc tan (1/1)

  = π / 4

z= √2 (cos (π / 4)+i sin (π / 4))

z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8

= (√2 (cos (8π / 4)+i sin (8π / 4)))^8

=16 (cos(2π) + i sin (2π)

=16

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Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

Answer:

Undefined

Step-by-step explanation:

Use the following formula to solve for slope:

\(\frac{y_2-y_1}{x_2-x_1} =m\)

\(m=\frac{(-1)-2}{8-8}\)

\(m=\frac{-3}{0}\)

The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.

The respective values of x after solving the given equalities are 2.5, -0.5, 9/8 and 1/2.

1. a) -3(x + 2) - 1 = 1 + 2(1 - 2x)

Expanding the left-hand side: -3x - 9 - 1 = 1 + 2 - 4x

Expanding the right-hand side: -3x - 9 - 1 = 1 - 4x

Solving for x: -4x = -10

x = 2.5

b) (3 - 2x)/4 = 1 - 3z

Multiplying both sides by 4: 3 - 2x = 4 - 12z

Adding 2x to both sides: 3 = 2x + 4 - 12z

Adding 12z to both sides: 3 = 2x + 4

Subtracting 4 from both sides: -1 = 2x

Dividing both sides by 2: -0.5 = x

c) (2x -1)/ 5 = (3 - 2x)/3

Cross multiplying: 3(2x - 1) = 5(3 - 2x)

Expanding the left-hand side: 6x - 3 = 15 - 10x

Expanding the right-hand side: 6x - 3 = 15 - 10x

Solving for x: 16x = 18

x = 9/8

d) 3x - 2x = 1 - x

Combining like terms on the left-hand side: x = 1 - x

Solving for x: 2x = 1

x = 1/2

2. a) {1, 2, 3, ...} is set of positive integers

b) {-2, -1, 0, 1, 2, ...} is set of integers

c) {a/b | a, b E Z; b =/ 0} is set of rational numbers.

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