Please help work due at 11:59( look at photo for answer choices)

Responder:

2y-3x = 12

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como;

y = mx + c

m es la pendiente

c es la intersección

Primero necesitamos la pendiente de la ecuación conocida;

Dada la ecuación 2x ​​+ 3y - 8 = 0

Vuelva a escribir en forma estándar;

2x + 3y = 8

3y = -2x + 8

y = -2x / 3 + 8/3

Por lo tanto, la pendiente de la línea dada es -2/3

Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;

mM = -1

M = -1 (-2/3)

M = 3/2

La pendiente de la línea desconocida es 3/2

Obtener la intersección:

Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;

5 = 3/2 (-1) + c

5 = -3/2 + c

c = 5 + 3/2

c = (10 + 3) / 2

c = 13/2

Obtenga la ecuación requerida;

Dado que y = mx + c

y = 3x / 2 + 13/2

multiplicar por 2;

2y = 3x + 12

2y-3x = 12

De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12

Answer:

The answer is A, C, E

Step-by-step explanation:

I took the test

Applying the definition of complementary angles, the measure of angle A = 43°.

Complementary angles are angles whose sum is equal to 90 degrees. That is, they add up to 90 degrees.

Since angles A and B are complementary, therefore:

Measure of angle A + measure of angle B = 90°

Plug in the values

3x - 8 = x + 26

Combine like terms

3x - x = 8 + 26

2x = 34

2x/2 = 34/2

x = 17

Measure of angle A = 3x - 8 = 3(17) - 8

Measure of angle A = 43°

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Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

Step-by-step explanation:

Let the volume of tank be x

In 18 hours volume of tank filled = x

we have to find the volume of tank which is filled in 1 hours.

For that we divide LHS and RHS by 18

In 18/18 hours volume of tank filled = x/18

In 1 hours volume of tank filled = x/18

In 30 hours volume of tank emptied = x

we have to find the volume of tank which is emptied in 1 hours.

For that we divide LHS and RHS by 30

in 30/30 hours volume of tank filled = x/30

In 1 hours volume of tank filled = x/30

If tank is empty and one starts to fill it, two things will happen

it will start filling at rate of x/18 hours

But there is leak which will start to empty the tank at  x/30 hours

So , at any given time rate if filling of water will be rate of filling the tank- rate of emptying the tank

In 1 hour volume of tank filled if both filling and leaking takes place simultaneously =  x/18 -x/30 = (30-18)x/18*30 = 12x/18*30 = x/3*15 = x/45

In 1 hour volume of tank filled = x/45

in 1*45 hour volume of tank filled = x/45*45 = x

Thus, it will take 45 hours to fill the leaky tank  .

Answer:

4/3

Step-by-step explanation:

Your Welcome

After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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Answer:

You have:

If you consider working weekends as well:

For assignments to do for every 5-day week :

9 weeks = 116 assignments

∴ For every week = 116/9 = 13 assignments

________________________________

For assignments to do for every day :

9 weeks = 116 assignments

We have 5 days in 1 week

∴ 9 weeks = 9 × 5 = 45 days

∴ For every day = 116/45 = 3 assignments (approx.)

________________________________

For assignments to do for every month :

1 month = about 30 days

∴ 65 days = 2 months 5 days = 2.2 months (approx.)

∴ For every month = 116/2.2 = 52 assignments (approx.)

The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

n - 8 ≥ 10

Step-by-step explanation:

8 less than a number would be n - 8. At least means greater than or equal to so the answer is n - 8 ≥ 10.

Answer: the only function I see is 6

Step-by-step explanation:

8.75

-1 2/3 × (-5 1/4)

=35/4

= 8 3/4

= 8.75

Rationalize the expression above

The fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in²

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

Surface area of  triangular prism with isosceles triangle base is find out using the following formula,

\(A_s=[(2a+b)\times l]+2\times A_b\)

Gavin is making a scale replica of a tent for his social studies project.

The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches.

The base area of the prism is,

\(A=\dfrac{1}{2}\sqrt{5^2-\dfrac{6^2}{4}}{\times6}\\A=12\rm\; in^2\)

The height of the triangle is 4 inches, and the depth of the tent is 7 inches.

Put the values in the above formula as,

\(A_s=[(2\times5+6)\times 7]+2\times12\\A_s=136\rm \; in^2\)

Thus, the fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in².

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a. The expression to represent the difference between the elevations is using integers = 5762 - (-9), or 5762 + 9.

b. The answer will be written as a positive integer since the elevation at the lowest point is given as a negative value (9 feet below sea level), and subtracting a negative number is equivalent to adding its positive counterpart.

c. The difference between the highest and lowest points of the county can be calculated thus:

5762 - (-9), or 5762 + 9, = 5771 feet.

An elevation refers to the height of an object or point above a given point of reference, usually sea level.

It is usually measured in feet or meters and relates to the height or altitude of a geographic location like a peak of a mountain or a city.

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The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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To create a consistent and dependent system with the equation x - y = -2, we need to find another equation that has the same solution as this equation.

We can manipulate the equation x - y = -2 to get y = x + 2.

Now, we can substitute y = x + 2 into each of the given equations to see which one creates a dependent system:

6x + 2y = 15 becomes 6x + 2(x + 2) = 15, which simplifies to 8x = 11. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

-3x + 3y = 6 becomes -3x + 3(x + 2) = 6, which simplifies to 0 = 0. This equation has infinitely many solutions and pairs with x - y = -2 to create a dependent system.

-8x - 3y = 2 becomes -8x - 3(x + 2) = 2, which simplifies to -11x = -8. This equation has a unique solution, so it does not pair with x - y = -2 to create a dependent system.

4x - 4y = 6 becomes 4x - 4(x + 2) = 6, which simplifies to -4 = 6. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

Therefore, the equation -3x + 3y = 6 can pair with x - y = -2 to create a consistent and dependent system.

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Answer:

179

Step-by-step explanation:

ones, (3+6)+(30+40)+(100+0)=179

Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

13

Step-by-step explanation:

The cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.

Total cost refers to the sum of all expenses incurred in producing a product or providing a service. It includes both the fixed costs (costs that remain constant regardless of the level of output) and variable costs (costs that vary with the level of output)

To calculate the cost to treat one person who has TB, we need to divide the total cost of treating all infected people by the number of infected people:

Cost to treat one person = Total cost of treatment / Number of infected people

Plugging in the given values, we get:

Cost to treat one person = R84,724,707 / 53,642

Cost to treat one person = R1,579.82

Therefore, the cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.

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Answer:

25

Step-by-step explanation:

range = largest value - smallest value (123-25)

Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.

Using chi-squared goodness-of-fit test with Benford's Law, observed check frequencies were found to be significantly different, indicating possible fraud. The test statistic was 756.153, exceeding the critical value of 15.51.

To test for goodness-of-fit with Benford's Law, we can use the chi-squared goodness-of-fit test. The null hypothesis is that the observed frequencies follow Benford's Law, while the alternative hypothesis is that they do not.

We can start by calculating the expected frequencies for each leading digit based on Benford's Law. According to Benford's Law, the expected proportion of leading digits is

P(d) = log10(1 + 1/d), where d is the leading digit (1, 2, ..., 9).

Then, we can calculate the expected frequencies by multiplying the proportion by the sample size

Expected frequency for digit d = P(d) * sample size.

Using this formula, we can calculate the expected frequencies for each digit

Expected frequencies: 3.542, 2.019, 1.518, 1.221, 1.028, 0.886, 0.778, 0.697, and 0.643.

We can use these expected frequencies and the observed frequencies to calculate the chi-squared statistic

chi-squared = Σ (observed frequency - expected frequency)² / expected frequency

We can then compare this value to the chi-squared distribution with 8 degrees of freedom (since there are 9 digits and one constraint, which is that the frequencies must add up to the sample size). Using a significance level of 0.05 and a chi-squared distribution table or calculator, the critical value is 15.51.

Plugging in the observed and expected frequencies, we get

chi-squared = (0 - 3.542)²/3.542 + (12 - 2.019)²/2.019 + (0 - 1.518)²/1.518 + (73 - 1.221)²/1.221 + (482 - 1.028)²/1.028 + (186 - 0.886)²/0.886 + (8 - 0.778)²/0.778 + (23 - 0.697)²/0.697 + (0 - 0.643)²/0.643

chi-squared = 756.153

Since the calculated chi-squared statistic (756.153) is greater than the critical value (15.51), we reject the null hypothesis and conclude that the observed frequencies are not consistent with Benford's Law. This suggests that the check amounts are the result of fraud.

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Answer:

B. $11.88

Step-by-step explanation:

4 · 2.50 = $10

3/4 · 2.50/1 = about $1.88

10 + 1.88 = $11.88

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:√20

Step-by-step explanation:

The missing side length of the right triangle is  or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,