x- 5y= 5

PLEASE HELP THIS IS ALEKS WORK

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

15) 3.2

17) 13.4

Step-by-step explanation:

To find the missing lengths, you need to use the Pythagorean theorem:

a² + b² = c²

In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.

You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".

15)    a = 4.1     c = 5.2

a² + b² = c²                                    <----- Pythagreom Theorem

(4.1)² + b² = (5.2)²                          <----- Plug values in for "a" and "c"

16.81 + b² = 27.04                         <----- Raise numbers to the power of 2

b² = 10.23                                      <----- Subtract 16.81 from both sides

b = 3.2                                           <----- Take the square root of both sides

You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".

17)   a = 4.4      b = 12.7

a² + b² = c²                                      <----- Pythagreom Theorem

(4.4)² + (12.7)² = c²                           <----- Plug values in for "a" and "b"

19.36 + 161.29 = c²                          <----- Raise numbers to the power of 2

180.65 = c²                                      <----- Add

13.4 = c                                            <----- Take the square root of both sides

An approximate solution to x³ - 5x² - 11 = 0, rounded to 2 decimal places, is x ≈ 2.76.

Use the equation derived from the iterative process:

xᵢ₊₁ = xᵢ - (f(xᵢ) / f'(xᵢ))

Calculate f(xᵢ):

f(xᵢ) = xᵢ³ - 5xᵢ² - 11

Calculate f'(xᵢ):

f'(xᵢ) = 3xᵢ² - 10xᵢ

Substitute the values of xᵢ, f(xᵢ), and f'(xᵢ) into the iterative equation and calculate xᵢ₊₁.

Let's perform the calculations:

For x = 5:

f(x) = 5³ - 5(5)² - 11 = 69

f'(x) = 3(5)² - 10(5) = 25

Using the iterative equation:

x₁ = 5 - (69 / 25)

≈ 2.76

Therefore, an approximate solution to x³ - 5x² - 11 = 0, rounded to 2 decimal places, is x ≈ 2.76.

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Answer:

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -⁵/₂

(-4, -2)    ⇒   x₀ = -4,  y₀ = -2

The point-slope form of the equation:

y + 2 = -⁵/₂(x + 4)

So:

y + 2 = -⁵/₂x - 10         {subtract 2 from both sides}

y = -⁵/₂x - 12             ←  the slope-intercept form of the equation

Answer:

8x−3y=−24

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The points (3,-4) and (1,2) lie on the line.

m = (-4-2)/(3-1) = -3

Answer:

n=7

\(3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7\)

Answer:

A and C

Step-by-step explanation:

x + x + 2 + x + 4 = 105       Combine like terms on the left

3x + 6 = 105

It's A

3x = 99

=============

x = 33

x+2 = 35

x + 4 = 37

The total is 105

=============

C is also correct

Answer:

This may be a function of the absolte value family.

f(x) = IxI.

f(x) = x if x ≥ 0

f(x) = -x  if x ≤ 0

Where this is the parent function, and the graph is shown below in green.

If the coefficient is positive, then the lines open upwards, and we will have a minimum (in this case, when x = 0).

And also in this case, we have symmetry around the value x = 0.

Now, the vertex can also be an absolute maximum if the coefficient is negative, like in the example shown below in color blue (the equation for the blue graph is f(x) = -3*IxI )

(a) The half-life of an element is the amount of time it takes for the radioactivity of the element to decrease to half its initial value.

We can use the formula for exponential decay, A = A0(1/2)^(t/h), where A is the final amount, A0 is the initial amount, t is the time elapsed, and h is the half-life. Setting A = A0/2 and solving for h, we get h = ln(2)/r, where r is the decay rate. Therefore, the half-life of the element is rounded to the nearest whole number, h = round(ln(2)/r).

(b) To determine the number of days it takes for a sample of mg to decay to mg, we can use the same formula for exponential decay, A = A0(1/2)^(t/h), where A is the final amount, A0 is the initial amount, t is the time elapsed, and h is the half-life.

We want to solve for t when A = mg and A0 = mg. Plugging in the values, we get mg = mg(1/2)^(t/h), which simplifies to 1/2^(t/h) = 1. Solving for t, we get t = h*log2(2) = h, since log2(2) = 1. Therefore, the number of days it takes for a sample of mg to decay to mg is rounded to the nearest whole number, t = round(h).

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Answer:

D. 4x²-3x

Step-by-step explanation:

If the side is 2x-3 you multiply both numbers by themselves. 2x times 2x = 4x^2 and 3 times 3 is nine

Hope this helps :)

I am also in Algebra 1 as a darn 7th grader

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of \(angles\) in a \(right\) \(triangle\)is:

\(x + y + 90 = 180\)

Subtract 90 from bot sides

\(x + y = 90\)

Make x the subject

\(x = 90 - y\)

Make y the subject

\(y = 90 - x\)

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume \(x = 40\)

We make use of: \(y = 90 - x\)

\(y = 90 - 40 = 50\)

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

\(x + y + y = 180\) ---- y appear twice because the base angles are equal

\(x + 2y = 180\)

Make x the subject

\(x = 180 - 2y\)

Make y the subject

\(y = \frac{180 - x}{2}\)

Assume \(x = 40\), we make use of:

\(y = \frac{180 - x}{2}\)

\(y = \frac{180 - 40}{2}\)

\(y = \frac{140}{2}\)

\(y = 70\)

Assume \(y = 70\), we make use of:

\(x = 180 - 2y\)

\(x = 180 - 2 * 70\)

\(x = 180 - 140\)

\(x = 40\)

Answer:

24

Step-by-step explanation:

Answer:

Ok because your questions confuses me I'm going to put two answers here.

Step-by-step explanation:

Use a calculator for these type of problems in the future.

Answer:

Which one do you need help with

If the resistance is 0.1 ohm, the impressed voltage is e(t) = 5, and i(0) = 0. The current i(t) is 50t.

The equation of the circuit is given as;v = L di/dt + R iThe initial current is zero, and the capacitor has no charge. As a result, the total voltage is equal to the impressed voltage.

e(t) = L di/dt + R i

Differentiate both sides with respect to time.

t(e(t)) = d(L di/dt)/dt + d(R i)/dt

t(e(t)) = L d²i/dt² + R di/dt + i(dR/dt)

Substituting the given values,R = 0.1, L = 0.02

Therefore;e(t) = 0.02(d²i/dt²) + 0.1(di/dt)

The equation is a second-order linear homogeneous differential equation. The auxiliary equation is given by;0.02m² + 0.1m = 0m(0.02m + 0.1) = 0m = 0 or -5

Taking m = 0;

Let i(t) = A + Bt

Substituting in equation (1);

e(t) = 0.02(d²i/dt²) + 0.1(di/dt)0 = 0.02d²i/dt² + 0.1di/dt

Substituting i(t) = A + Bt0 = 0.02B0 + 0.1A5 = 0.1B0.1B = 5B = 50

Using the values of A and B, i(t) can be calculated as;i(t) = 50t

Hence, the current i(t) is 50t.

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Using the normal distribution, it is found that 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by \(\mu = 15.1, \sigma = 2.2\).

The proportion of penguins from the population have a weight between 13.0 kg and 16.5 kg is the p-value of Z when X = 16.5 subtracted by the p-value of Z when X = 13.

X = 16.5:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{16.5 - 15.1}{2.2}\)

Z = 0.64

Z = 0.64 has a p-value of 0.7389.

X = 13:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{13 - 15.1}{2.2}\)

Z = -0.95

Z = -0.95 has a p-value of 0.1711.

0.7389 - 0.1711 = 0.5678.

0.5678 = 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.

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The equation used is 50 = (2w + 5) × w which can be used to find its width, w.

According to the question we are Given,

Length of rectangle = 5 inches more than its width

Area of rectangle = 50sq. inches

Let width of rectangle = w

So, According to the question,

length = 2w + 5

Area of rectangle = Length × Breadth

50 = (2w + 5) × w

So, our required equation is 50 = (2w + 5) × w

The quantity of space occupied by a flat surface with a specific form is referred to as the area. It is calculated as a "number of" square units (square centimeters, square inches, square feet, etc.) The quantity of unit squares that may fit within a rectangle called its area. The flat surfaces of laptop monitors, blackboards, painting canvases, etc. are a few instances of rectangular forms.

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Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty.

Likelihood ratio (LR) is the ratio of the possibility of the evidence given the accused's guilt divided by the probability of the evidence given the accused's innocence. LR is a frequent tool used by experts to estimate the likelihood of a suspect being the source of a DNA sample. The likelihood ratio can be used to assess the probability of a given event. For example, it may be used to determine the likelihood of a crime suspect's DNA profile appearing in a sample.

It is essential to know the likelihood ratio of the first, second, third, fourth, and fifth occurrence of the same diagnosis for the same person to make an accurate assessment of this probability. This may be accomplished by calculating separate likelihood ratios for each occurrence.

In any likelihood ratio calculation, Bayes' theorem is used to link the probability of an individual's DNA profile appearing in a sample with the possibility of that person being guilty. This theorem helps to account for the possibility of coincidental matches.

The value of the likelihood ratio is determined by the strength of the DNA evidence in the case. When there is a higher probability of a match, the ratio will be higher. The value of the LR should be sufficiently large to establish the probability of the evidence given the suspect's guilt or innocence. Typically, an LR of more than 100 is considered a strong match.

The likelihood ratio for the first occurrence is calculated by dividing the likelihood of the evidence given the accused's guilt by the likelihood of the evidence given the accused's innocence. The same calculation is repeated for each additional occurrence. The sum of the likelihood ratios for all occurrences is used to compute the overall likelihood ratio for the case.

To conclude, the separate likelihood ratios for the first, second, third, fourth, and fifth occurrences of the same diagnosis for the same person can be calculated to assess the probability of a given event. Bayes' theorem is used to connect the probability of a person's DNA profile appearing in a sample with the possibility of that person being guilty. An LR of more than 100 is considered a strong match.

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The equation of a cosine function is given by y = A * cos(bx + c) + d, where A represents the amplitude, b is the frequency, c is the phase shift, and d is the vertical shift.

In this case, the period of the function is given as 1,080 degrees. The period of a cosine function is calculated as 360 degrees divided by the absolute value of the frequency. So, in this case, we can use the formula: 1,080 = 360 / |b|. To find the frequency, we need to solve this equation for b. Multiply both sides of the equation by |b| to isolate it on one side: |b| = 360 / 1,080. Simplifying further, we get |b| = 1 / 3. Since frequency cannot be negative, we take the positive value: b = 1 / 3. Therefore, the frequency of the transformed cosine function is 1/3. The frequency (b) of the transformed cosine function with a period of 1,080 degrees is 1/3. The frequency (b) of a cosine function determines the number of cycles that occur within a given period. In this case, the period is 1,080 degrees. To calculate the frequency, we can use the formula: period = 360 / |b|. Rearranging the equation to solve for |b|, we get |b| = 360 / period. Substituting the given period of 1,080 degrees, we find |b| = 360 / 1,080 = 1/3. Since frequency cannot be negative, we take the positive value, b = 1/3. This means that within a period of 1,080 degrees, the transformed cosine function completes one cycle every 3 degrees. This determines the rate at which the function oscillates and helps in understanding its behavior.

The frequency (b) of the transformed cosine function with a period of 1,080 degrees is 1/3. This frequency value indicates the number of cycles that the function completes within a period of 1,080 degrees.

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Answer:

  1/3

Step-by-step explanation:

The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...

  A'B'/AB = 2/6 = 1/3

The scale factor is 1/3.

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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The final temperature of the mixture, assuming no heat loss to the surroundings, is 312.47 K.

To calculate the final temperature of the mixture, we can use the principle of energy conservation, assuming no heat loss to the surroundings. The equation used is:

\(m_{1}\)\(c_{1}\)(\(T_{f}\)  - \(T_{1}\) ) = \(m_{2}\)\(c_{2}\) (\(T_{2}\) - \(T_{f}\) )

Where:

\(m_{1}\) = mass of the first sample (31.0 g)

\(c_{1}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{1}\) = initial temperature of the first sample (285 K)

\(T_{f}\) = final temperature of the mixture (unknown)

\(m_{2}\) = mass of the second sample (47.0 g)

\(c_{2}\) = specific heat capacity of water (4.18 J/g·K)

\(T_{2}\) = initial temperature of the second sample (340 K)

Plugging in the values:

31.0* 4.18* (\(T_{f}\) - 285) = 47.0*4.18*(340 - \(T_{f}\) )

Now we can solve this equation for \(T_{f}\) :

31.0 * 4.18 * \(T_{f}\) - 31.0 * 4.18 * 285 = 47.0 * 4.18 * 340 - 47.0 * 4.18 * \(T_{f}\)

125.98 * \(T_{f}\) - 35793 = 65231.6 - 197.26 * \(T_{f}\)

323.24 * \(T_{f}\)  = 101024.6

\(T_{f}\)  = 312.47 K

Therefore, the final temperature of the mixture, assuming no heat loss to the surroundings, is approximately 312.47 K.

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The equations can be solved in the following manner. As shown below.

The equations can be solved in the following manner. As shown below.

1.  Multiplication Property of Equality

10a + 35b = 0, 21a - 35b = 217            

2.  Addition Property of Equality

31a = 217

3.  Division Property of Equality

a = 7

4.  Substitution Property of Equality

2(7) +7b = 0

5.  Simplify

14 + 7b = 0

6.  Subtraction Property of Equality

7b=-14

7.Division Property of Equality

b= -2

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The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

Herein we have a simple harmonic motion model represented by a sinusoidal expression of the form y(t) = A · sin (C · t) + B · cos (C · t), which must be transformed into its canonical form, that is, y(t) = A' · sin (C · t + D). We proceed to perform the procedure by algebraic and trigonometric handling.

The amplitude of the canonical function is determined by the Pythagorean theorem:

A' = √(2² + 5²)

A' = √ 29

The angular frequency C  is the constant within the trigonometric functions from the non-canonical formula:

C = 4π

Then, we find the initial position of the weight in time: (t = 0)

y(0) = 2 · sin (4π · 0) + 5 · cos (4π · 0)

y(0) = 5

And now we calculate the angular phase below: (A' = √ 29, C = 4π, y = 5)

5 = √ 29 · sin (4π · 0 + D)

5 / √ 29 = sin D

D ≈ 0.379π rad

The canonical expression equivalent to sinusoidal model y(t) = 2 · sin (4π · t) + 5 · cos (4π · t) is y(t) = (√ 29) · sin (4π · t + 0.379π) .

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Answer:

959.42 x 10³

Step-by-step explanation:

9.62 x 10⁵ - 2.58 x 10³

= 962 x 10³ - 2.58 x 10³

= 959.42 x 10³

Answer:

959420

Step-by-step explanation:

Calculate 10 to the power of 5 and get 100000.

9.62 × 100000 − 2.58 × \(10^{3}\)

Multiply 9.62 and 100000 to get 962000.

962000 − 2.58 × \(10^{3}\)

Calculate 10 to the power of 3 and get 1000.

962000 − 2.58 × 1000

Multiply 2.58 and 1000 to get 2580.

962000 − 2580

Subtract 2580 from 962000 to get 959420.

= 959420

Answer:

did you study????? well if u did then why u scareddd shortteee.

Answer:

mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)

Step-by-step explanation:

Greetings!

Answer:

5 +1x

Step-by-step explanation:

5 + 1x

The 5 dollars is for the entry fee because you going to pay that no matter what, Ten it's 1 dollar per ride so it would be 1 x (x repersenting the number of rides)

Answer:

5+1x=

Step-by-step explanation:

you paid 5 dollars for the entry and its one dollar per a ride so you would multiply 1 by how many rides and add by the 5 dollars and you will get the total amount you spend  

The correct choice is B. The given k is a zero of the polynomial function.The given number k = 3 is a zero of the polynomial function

f(x) = x² - 7x + 12.

To determine whether 3 is a zero of the function, we can use synthetic division.  Synthetic division involves dividing the polynomial function by the given value of k and checking if the remainder is zero.

Writing the polynomial function in the form of (x - k), we have f(x) = (x - 3)(x - 4). Using synthetic division, we set up the division as follows:

``` 3 | 1  -7   12

     |    3   -12

      -----------

       1  -4    0```

The remainder is zero, which means that 3 is a zero of the polynomial function. Therefore, the correct choice is B. The given k is a zero of the polynomial function. In this case, f(3) = 0.

The synthetic division shows that when we divide the polynomial function f(x) = x² - 7x + 12 by k = 3, we obtain a remainder of zero. This implies that (x - 3) is a factor of the polynomial. In other words, when x is equal to 3, the polynomial function evaluates to zero. Therefore, 3 is a zero of the polynomial function. The value of f(3) is 0, which confirms that 3 is indeed a zero of the function.

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