What value(s) of z makes the equation 7/6 Z + 1/3 = -5 / 6 true; Z = -1, Z= 2, Z= 1, or Z= -36 / 63?

Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

For any two given perpendicular lines, they must have slope (m) values that are negative reciprocals of each other. The equation of any line can be written in slope-intercept form as, y = mx + b, where m is the slope of the line.

Given the equation, 4x - 3y = -8, rewrite in slope-intercept form:

-3y = -4x - 8

-3y/-3 = -4x/-3 - 8/-3

y = 4/3x + 8/3

This means that the line has a slope of 4/3. Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of 4/3, which is: -3/4.

Thus, we can see that Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

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Answer:

2

Step-by-step explanation:

Answer:

scale of 2

Step-by-step explanation:

Answer:

$4825.80

Step-by-step explanation:

(9x+5)+(-2\(x^{2}\) +10x)

=9x+5-2\(x^{2}\)+10x

=-2\(x^{2}\)+19x+5

Answer:

1.25w

Step-by-step explanation:

w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here  is how to solve it:

\(w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w\)

The reliability of a study using multiple regression analysis depends on a, b, and c, but not d.

Regression analysis depends on Omitted variable bias refers to the problem of leaving out important variables from the regression model that could affect the dependent variable. This can lead to biased and inconsistent estimates of the regression coefficients.

Errors-in-variables refer to measurement errors in the independent or dependent variables. These errors can result in biased and inconsistent estimates of the regression coefficients.

Homoskedasticity in the error term refers to the condition where the variance of the error term is constant across all values of the independent variables. This is important because it ensures that the regression coefficients are unbiased and efficient.

External validity refers to the ability to generalize the findings of a study to other populations or settings. While important for the overall usefulness of the study, it does not affect the reliability of the multiple regression analysis itself. So, regression analysis depends on a,b,c but not on d.

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Answer;13

Step-by-step explanation:

13 bc she was adding

Answer:

3:1

Step-by-step explanation:

To find cost of ride tickets:

$15 / 5 = $3 per ride ticket

$39 - (4 ride tickets x $3) = $27 for 3 game tickets

$27 / 3 = $9 per game ticket

Ratio of cost of game ticket to ride ticket = 9:3

Simplified = 3:1

The approximate probability that someone might answer the next call E.J. makes is 0.25 or 25%. The correct answer is C. 0.25.

To find the approximate probability that someone might answer E.J.'s next call, we'll use the information provided and follow these steps:

1. Calculate the total number of calls made: answered calls (40) + unanswered calls (120).
2. Find the proportion of answered calls to the total calls.
3. Express the proportion as a probability (as a percentage or fraction).

Let's do the calculations:

1. Total calls = 40 (answered) + 120 (unanswered) = 160 calls
2. Proportion of answered calls = 40 answered calls / 160 total calls = 1/4
3. Probability = 1/4 = 0.25 (as a decimal) or 25% (as a percentage)

So, the approximate probability that someone might answer the next call E.J. makes is 0.25 or 25%. The correct answer is C. 0.25.

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The probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs can be determined by comparing the sampling distributions of the means of both groups. Given that the weights of cats are roughly Normally distributed and the weights of dogs are skewed to the right, we can use statistical techniques to find the probability.

To compare the sample means, we need to standardize them using the Central Limit Theorem. The sampling distribution of the sample mean weight for cats can be approximated as a Normal distribution with a mean of 9.5 pounds and a standard deviation of 2/sqrt(8) pounds (assuming a sample size of 8 cats). Similarly, the sampling distribution of the sample mean weight for dogs can be approximated as a Normal distribution with a mean of 28 pounds and a standard deviation of 14/sqrt(10) pounds (assuming a sample size of 10 dogs).
To find the probability that the sample mean weight of cats is greater than the sample mean weight of dogs, we can calculate the z-score for the difference between the two means and find the corresponding probability from the Normal distribution. However, since the weights of dogs are skewed to the right, it is likely that the sample mean weight of dogs will be greater than the sample mean weight of cats.
Therefore, the probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs is approximately 0, as stated in option (a).

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Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

Answer:  The long division method is a way to solve division problems by hand. Here are the steps to do long division:

Write the dividend (the number being divided) inside a long division bracket, and write the divisor (the number doing the dividing) outside of the bracket.

Divide the first digit of the dividend by the divisor. Write the answer (the quotient) above the dividend, and write any remainder (what’s left over) below the first digit of the dividend.

Bring down the next digit of the dividend next to the remainder.

Repeat step 2 until you’ve brought down all of the digits of the dividend.

The final answer is your quotient with any remainder written as a fraction.

The resistance of each bulb that is connected in series with a 110 V line is 24.55 Ω with a 13.75 V Voltage difference across each bulb. The power dissipated in each bulb is 7.7 W, if 0.56 A current flows through them.

The voltage across 8 identical bulbs is 110 V

Since they are connected in a series and identical, the Voltage difference across each bulb is \(\frac{110}{8}\) V which is 13.75 V

According to the question,

The current flowing through the bulb = 0.56 A

So according to Ohm's Law,

V = IR

13.75 = 0.56 * R

R = 24.55 Ω

The power dissipated in each bulb can be calculated as

P = VI

P = 13.75 * 0.56 = 7.7 W

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In summary, the voltage across each bulb is 13.75V, the resistance of each bulb is 24.55Ω, and the power dissipated in each bulb is 7.7W.

When eight identical lights are connected in series across a 110-V line, the voltage across each bulb will be 110/8 = 13.75 V.
To find the resistance of each bulb, we can use Ohm's law, which states that resistance is equal to voltage divided by current (R = V/I). Therefore, the resistance of each bulb is 13.75/0.56 = 24.55 ohms.
To find the power dissipated in each bulb, we can use the formula P = VI, where P is power, V is voltage, and I is current. Therefore, the power dissipated in each bulb is 13.75 x 0.56 = 7.7 watts.
To find the voltage across each bulb, divide the total voltage by the number of bulbs:

Voltage across each bulb = Total Voltage / Number of Bulbs = 110V / 8 = 13.75V per bulb

Next, use Ohm's Law to find the resistance of each bulb:

Resistance (R) = Voltage (V) / Current (I) = 13.75V / 0.56A = 24.55Ω per bulb

Finally, find the power dissipated in each bulb using the formula:

Power (P) = Voltage (V) x Current (I) = 13.75V x 0.56A = 7.7W per bulb

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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Answer:

-x+1=2x+3

Step-by-step explanation:

Im not really sure of it but i think thats the answer

The equation modelled in the image shown is -

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

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function represented by the equation modelled in the image shown

Red color : Negative

For the left hand side, we can write that -

LHS = - x + 1

For the right hand side, we can write that -

RHS = 2x + 3

So, we can write the complete equation as -

LHS = RHS

- x + 1 = 2x + 3

Therefore, the equation modelled in the image shown is -

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

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Answer:

18 Kg

Step-by-step explanation:

We can use algebra to solve for the mass, m, given the delivery price, $70.

Starting with the formula:

price ($) = 7 + 3.5m

We can substitute $70 for price ($) and solve for m:

$70 = 7 + 3.5m

Subtracting 7 from both sides:

$63 = 3.5m

Dividing both sides by 3.5:

m = 18

Therefore, the mass of the parcel is 18 kg.

Answer:a

Step-by-step explanation:

Answer:

It is A, y = 9,958(0.972)x

Step-by-step explanation:

The compound interest formula is:

Where

P is principal

r is rate of interest

n is number of compounding

t is number of years

Putting the given information, we have:

Interest amount is:

15,439.60 - 13,500 = $1939.60 (in a year/12 months)

In 10 months:

Justin would owe $1616.33 after 10 months.

If the maximum safe load of a bridge is 1500 kg to the nearest 10 kg. The estimate for the maximum number of soldiers that can safely cross the bridge at the same time. is: 19.

First step is to find the lower bound and upper bound of 1500

Lower bound of 1500

1495

Upper bound of 1500

1505

Second step is to find the lower bound and upper bound of 75

Lower bound of 75

74.5

Upper bound of 75

75.5

Now let find the maximum number

Maximum number = Lower bound / Upper bound

Maximum number = 1495 / 75.5

Maximum number = 19.801

Maximum number = 19

Therefore the maximum number is 19 soldier.

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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The sample correlation coefficient (r) can be found using the following formula :r = (n(Σxy) − (Σx)(Σy)) / √[(nΣx2 − (Σx)2)(nΣy2 − (Σy)2)] .

Where n = number of data points,

Σxy = sum of products of paired scores,

Σx = sum of X scores

and

Σy = sum of Y scores.

Given data: Speed (Miles per our30 50 40 55 30 24 60 25 51 55

Miles per Gallon 28 24 24 23 30 32 21 35 26 25

To compute r, we first need to find

Σxy, Σx, Σy, Σx2, and Σy2

using the given data:Speed (x)

Miles per GallonΣx = 384 Σy = 278

Σxy = 14836

Σx2 = 19264

Σy2 = 7995

Now substituting the values in the formula we get:

r = (n(Σxy) − (Σx)(Σy)) / √[(nΣx2 − (Σx)2)(nΣy2 − (Σy)2)]

r = (10(14836) − (384)(278)) / √[(10(19264) − (384)2)(10(7995) − (278)2)]

r =  0.4253

Therefore, the sample correlation coefficient is 0.43 rounded to two decimal places and its interpretation is:For driving speeds between 24 and 60 miles per hour, higher speeds are associated with lower miles per gallon.Based on the computation of the sample correlation coefficient, it can be concluded that there is a moderate positive linear relationship between speed and miles per gallon.

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Write 80% as a decimal: 0.80

Multiply the original price by the decimal:

30 x 0.80 = 24

Answer: $24

Given that–

The cost of a book costs 30$. Now its 80% of the original cost.

– ★ 80% of 30

\(\red{\twoheadrightarrow\sf \dfrac{80}{100} \times 30}\)

\(\twoheadrightarrow\sf \dfrac{8\cancel{0}}{1\cancel{0}\cancel{0}} \times 3\cancel{0}\)

\(\twoheadrightarrow\sf 8 \times 3 \)

\(\red{\twoheadrightarrow\sf 24} \)

Answer:

9

Step-by-step explanation:

if i have 16 reeses and i sold 7 and count how  many is left i should have 9 left

Step-by-step explanation:

Calculating your loan-to-value ratio

Current loan balance ÷ Current appraised value = LTV.

Example: You currently have a loan balance of $140,000 (you can find your loan balance on your monthly loan statement or online account). ...

$140,000 ÷ $200,000 = .70.

Current combined loan balance ÷ Current appraised value = CLTV.

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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Answer:

  65°

Step-by-step explanation:

You want the measure of the angle marked x in a quadrilateral with the other angles marked as 110°, 105°, and 80°.

The sum of the interior angles of a quadrilateral is 360°. Using that relation, we have ...

  x + 110° +105° +80° = 360°

  x = 360° -295° = 65°

The measure of angle x is 65°.

__

Additional comment

If the sum of adjacent angles is 180°, then the sides of the figure are parallel. That is not the case here, so this figure is not a trapezoid.

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Answer:

x = 65°

Step-by-step explanation:

Step 1:  Determine the sum of the measures of the polygon:

Thus, we plug in 4 for n to find the sum of the interior angles of this four-sided polygon:

Sum = 180(4 - 2)

Sum 180 * 2

Sum = 360

Thus, the sum of the interior angles of this four-sided polygon is 360°.

Step 2:  Find x by setting the sum of the interior angles equal to 360°:

Setting the sum of the interior angles of the four-sided polygon equal to 360 will allow us to find the measure of x:

x + 110 + 105 + 80 = 360

x + 295 = 350

x = 65

Thus, x = 65°

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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