what is an equation of thr line that passes throigh yhe points (-5,-3) and (-6,-2)?

Answer:154

Step-by-step explanation:

14/ 25 = x/275

multiply 14* 275 then divide by 25 to get 154

Answer:

168

Step-by-step explanation:

If 14/25 have passwords, and there are 275 students in her school, then the equation should be 275/25=12, 12*14=168

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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Answer:

One solution

Step-by-step explanation:

The differential of y = x^2 sin(8x) is:  dy = (8x^2cos(8x) + 2xsin(8x))dx

To find the differential of y = x^2 sin(8x), we need to use the product rule and chain rule of differentiation.
First, let's find the derivative of x^2 and sin(8x) separately:
d/dx(x^2) = 2x
d/dx(sin(8x)) = 8cos(8x)
Now, using the product rule, we get:
d/dx(x^2 sin(8x)) = (x^2)(d/dx(sin(8x))) + (sin(8x))(d/dx(x^2))
= (x^2)(8cos(8x)) + (sin(8x))(2x)
= 8x^2cos(8x) + 2xsin(8x)
Therefore, the differential of y = x^2 sin(8x) is:
dy = (8x^2cos(8x) + 2xsin(8x))dx

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Answer:

D

Step-by-step explanation:

12-y=2x-5

+5        +5  ( add 5 to both sides)

17-y=2x

-17    -17  (Subtract 17 to get y by itself)

-y=2x-17

divide by -1 because y cant be negative

y=-2x+17

m=-2 and y-intercept= 17

I hope thats right :)  

Two linear equations in two variables can be solved using the substitution techniques, graphical method or by the elimination method.

Let us consider any two real world linear equations in two variables.

x - y = 0

x + y = 4

Now let us first solve them by substitution method:

equation 1 can be written as : x = y ,

Now we substitute this value of x in the second equation:

x + y = 4

or,  y + y = 4

or, 2y = 4

or, y = 2

At x = 2 , y = 2. Hence the solution is (2,2)

Now let us solve by elimination method:

adding equation 1 and 2 we get:

x - y = 0

x + y = 4

2x = 4

or, x =2

at x=2 , y = 4-2 =2 Hence the solution is (2,2)

Now we will solve the equations graphical method.

In the graph attached below we can clearly see that the straight line representation of the two equations intersect at the point (2,2)

Hence the solution is (2,2) .

Therefore any linear equation in 2 variables can be solved by substitution , elimination and graphically.

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Answer:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since the volume of oil in the tank is directly proportional to the depth of the oil, we can calculate the amount of oil left in the tank when it is 3 feet deep using a simple ratio.

First, we need to convert the tank's capacity from gallons to cubic feet because our measurements are in feet. According to the U.S. liquid gallon to cubic foot conversion, 1 gallon is approximately 0.133681 cubic feet. So, the tank's total volume in cubic feet is 620 gallons * 0.133681 cubic feet/gallon.

Let's denote the total volume of the tank as V_total and the remaining volume when the tank is 3 feet deep as V_remaining.

V_total = 620 * 0.133681 cubic feet.

Given that the total height (h_total) of the tank is 8 feet and the remaining height (h_remaining) is 3 feet, we can set up the following proportion:

h_remaining / h_total = V_remaining / V_total.

By cross-multiplying and solving for V_remaining, we can find the remaining volume in the tank when it's 3 feet deep. Then, we convert this volume back to gallons by dividing by 0.133681.

Let's calculate that.

Apologies for the confusion; I made a mistake. I can't execute calculations directly in this manner. I'll carry out the calculations below instead:

The total volume of the tank in cubic feet is:

V_total = 620 gallons * 0.133681 cubic feet/gallon = 82.9022 cubic feet.

The remaining volume when the tank is 3 feet deep can be calculated with the proportion:

h_remaining / h_total = V_remaining / V_total.

After cross-multiplying and solving for V_remaining, we have:

V_remaining = (h_remaining / h_total) * V_total = (3 ft / 8 ft) * 82.9022 cubic feet = 31.0941 cubic feet.

Then, we convert this volume back to gallons by dividing by 0.133681:

V_remaining_gal = 31.0941 cubic feet / 0.133681 = 232.63 gallons.

Rounding to the nearest whole number, approximately 233 gallons remain in the tank when the depth of the oil is 3 feet.

Troy should include $1,200 in gross income related to his gambling activities.

Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.

Net Winnings = Winnings - Losses

Net Winnings = $2,500 - $1,300

Net Winnings = $1,200

Therefore, Troy should include $1,200 in gross income related to his gambling activities.

For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.

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Given that:

In ∆AMN and ∆TPE

MA = PE (Side )

∠AMN = ∠TPE (angle)

MN = PT (Side)

By SAS Property

∆ MAN =~ ∆ PET

∆ MAN =~ ∆ PET are congruent triangles .

Answer:- ∆ MAN =~ ∆ PET

Additional comment:

SAS Property:-

In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.

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Answer:

f(-8) = 57

Step-by-step explanation:

When x = - 8

f(-8) = 2 x (-8)² + 7 x (-8) - 15

f(-8) = 2 x 64 - 56 - 15

f(-8) = 128 - 56 - 15

f(-8) = 128 - 71

f(-8) = 57

\(\sf f(x) = 2x^2 + 7x - 1\)

Just substitute the value of x as (-8) .

\(\sf f(-8) = 2(-8)^2 + 7(-8) - 15\)

\(\sf f(-8) = 2(64) - 7(8) - 15\)

\(\sf f(-8) = 128 - 56 - 15\)

\(\sf f(-8) = 128 - 71\)

\(\sf f(-8) = 57\)

The given equation for the domain is C=5.5b, where b represents the number of dollar bills produced and C represents the total cost of producing those dollar bills.

We are told that the mint produces at least 420 dollar bills but not more than 425 dollar bills. Therefore, the domain of the function C=5.5b for this situation is the set of values of b that satisfy this condition.

In interval notation, we can represent this domain as follows:

Domain: 420 ≤ b ≤ 425

Therefore, the domain of the function C=5.5b for this situation is 420 ≤ b ≤ 425.

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We will put our data in ascending order first, as below.

Five number summary are essentially five numbers that distinguish the given data, they are.

the sample minimum (smallest observation)

the lower quartile or first quartile

the median (the middle value)

the upper quartile or third quartile

the sample maximum (largest observation)

Let us calculate all of these in the data that we have been provided with.

(1) Median = mean of the two middle values, in this case, we have odd number of values, so we can take the middle three and take their average, therefore -> median = (7+8+9)/3 = 23/3

(2) Sample minimum = smallest number = 0

(3) Sample maximim = largest number = 15

(4) lower quartile = is the medain of the first group = (5+6)/2 = 11/2

(5) Upper quartile = median of the second group = (10+10)/2 = 10

therefore our five numbers are ,

0 11/2 23/3 10 15

Given

One of the zeros of 14² − 42² − 9 is the negative of the other.

To find the value of k.

Explanation:

It is given that,

One of the zeros of 14² − 42² − 9 is the negative of the other.

That implies,

Let α, -α be the zeros of the polynomial f(x) = 14² − 42² − 9.

Then,

Also,

Subtracting (1) and (2) implies,

Hence, the value of k is 0.

Answer:

Step-by-step explanation:

plus all of them 5times 10

Answer:

gcf is 4

Step-by-step explanation:

Answer:

4(3+20)

Step-by-step explanation:

the 4 is the greatest common factor so i pulled it out and divided 12 and 80 to simplify

As per the given domain the behavior of f'(x) near that point to determine if the function is increasing or decreasing.

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value). In this case, the domain of f(x) is all real numbers.

(a) To determine the intervals over which f(x) is increasing or decreasing, we need to consider the sign of f'(x) and  the behavior of f'(x) near that point to determine if the function is increasing or decreasing.

(b) From the information given, we know that

=> f'(x)=0 at x=1

and that f'(x) is only undefined at x=−3 within the domain of the function. Hence, x=1 is a critical point.

(c) To determine the intervals over which f(x) is concave up or concave down, we need to consider the sign of f''(x).

If f''(x) is positive over an interval, then the function is concave up over that interval.

If f''(x) is negative over an interval, then the function is concave down over that interval.

(d) An inflection point is a point in the domain of the function at which the concavity of the function changes.

If the sign of f''(x) changes from positive to negative or from negative to positive, then the point is an inflection point.

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Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

The total possible outcomes are 36 and the probability of rolling a 5 and a 6 is 2.78 approximately.

What is dice?

Dice are small objects with different numbers of dots or pips on each side used in games of chance or strategy. Most commonly, dice are cubes with each of the six faces marked with a different number of pips from one to six. When rolled, the number that appears on the top face of the die is used to determine the outcome of the game or the action of the player.

Dice are used in a wide variety of games, including board games, tabletop games, role-playing games, and gambling games. They can also be used for randomization in decision-making or statistical analysis. Some games use dice with more or less than six sides, with various shapes and markings, or even electronic versions that simulate rolling.

When rolling two six-sided dice, the total number of possible outcomes is 6 x 6 = 36, as there are 6 possible outcomes for each die.

To determine the probability of rolling a 5 and a 6, we first need to determine the number of ways this outcome can occur. There is only one way to roll a 5 and a 6, which is to have one die show a 5 and the other die show a 6.

So, the probability of rolling a 5 and a 6 is

P(rolling a 5 and a 6) = number of ways to roll a 5 and a 6 / total number of possible outcomes

= 1 / 36

Therefore, the probability of rolling a 5 and a 6 is 1/36, or approximately 0.0278, or about 2.78%.

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The statement "the algebraic and spreadsheet formulations of a linear programming model both have advantages" is true. (Option 3)

Both algebraic and spreadsheet formulations have their own advantages and disadvantages. Algebraic models allow for a more formal mathematical representation of the problem, making it easier to see relationships between variables and constraints. They also allow for the use of powerful optimization solvers to quickly find optimal solutions.

On the other hand, spreadsheet models allow for more intuitive modeling and visualization of the problem. They also allow for quick and easy scenario analysis and sensitivity testing. Furthermore, they are more accessible to a wider range of users who may not have the technical background to create and solve complex algebraic models.

Therefore, the choice between the two formulations depends on the specific problem and the preferences and expertise of the modeler.

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Complete Question:

which of the following statements about linear programming models is true? multiple choice question.

To determine the elasticity of demand, E, we need to find the derivative of q with respect to p and multiply it by p divided by q.

To determine the elasticity of demand, we use the formula:

E = (dq/dp) * (p/q)

where dq/dp is the derivative of the quantity q with respect to the price p, and p/q is the ratio of the price p to the quantity q.

In this case, the demand function is given as \(q = 40,000 - 7p^2\). To find the derivative dq/dp, we differentiate the function with respect to p. Then we substitute the values of p and q into the formula to calculate the elasticity E. The elasticity of demand measures the responsiveness of the quantity demanded to changes in price.

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A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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Answer:

4 burritos cost 56

5 burritos cost 70

10 burritos cost 140

Answer:

wdexxewew

Step-by-step explanation:

exewew

Answer:

The sum of a rational number and an irrational number is irrational." By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Step-by-step explanation:

However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational." Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

Answer:

13 ft

Step-by-step explanation:

we need to find the square root of 169

√169 = 13

The quantities do not have a proportional relationship because the ratio of the cost to shirts is not equivalent.

The two quantities would have a proportional relationship if the constant of proportionality are equal. The constant of proportionality would be equivalent to the cost of one shirt.

The equation that can be used to determine the constant of proportionality is:

k = y / x

Where:

k = 25 / 2

k = 12.60

k = $36 / 3

k = $12

The quantities are not proportional because the constant of proportionality are different.

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If the line y = 3x + 7 endures a dilation with center (0,7) and scale factor 10 as a result, the image's inclination is 30.

The slope of a line serves as a gauge for its steepness. The ratio of something like the vertical change (emergence) to the parallel change (run) either between two locations on the line is what is referred to as the slope. In other terms, slope is the amount of rise or fall that a line experiences for each unit of distance away. The slope method can be used to determine a line's slope: slope equals (y2 + y1)/. (x2 - x1) where any two locations on the line (x1, y1) and (x2, y2) are. The line moves up from left to right if the slope is positive (i.e., it has a positive inclination), but if the slope is negligible, the line decreases gradually from left to right (i.e., it has a negative inclination).

given

Any point's distance from the center must be multiplied by 10 in order to execute a dilation with a center (0,7) and scale factor of 10.

For instance, the initial line's point (1, 10) is on it, and its distance from the center is 10 - 7 = 3.

In the image, the equivalent point will be 10 times farther from the center, which (1, 37). Also on the initial line, the point (2, 13) is situated at a distance from the center of 6 - (7, 13). In the image, the equivalent point will be 10 times farther from the center, which (2, 67).

By calculating the slope of the line connecting these two locations, we can determine the slope of the image. The slope method is used to:

slope equals (y2 + y1)/. (x2 - x1)

where (1, 37) for (x1, y1) and (2, 67) for (x2, y2), we obtain:

slope = (67 - 37) / (2 - 1) = 30

As a result, the image's inclination is 30.

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Answer:

see below

Step-by-step explanation:

first flip x and y and solve for y

write new equation as x =-3(y+6) distribute

x = -3y -18 add 18 on both sides

x +18 = -3y divide by -3

(-1/3) x -6 or (x +18)/-3 or \(\frac{-x}{3} -6\)