What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer:

1 gram is 0.035274 in ounces

Answer:

It would be about 0.035274

Step-by-step explanation:

For an approximate result, divide the mass value by 28.35

Hope this helps

The equation of the parabola whose vertex is (2, 5) and focus (2, 2) is:y = (1/8)(x - 2)² + 5.

The equation of the parabola whose vertex is (2,5) and focus (2,2) is: y = (1/8)(x - 2)² + 5.

Step-by-step explanation:

Given the vertex of the parabola is (2, 5)and the focus is (2, 2).The parabola is said to be opening downwards because the focus lies below the vertex. We know that, if (a,b) is the vertex and the parabola opens downward, then the equation of the parabola can be given by: (y - b) = - (1/4a)(x - a)²

This is the required equation of the parabola. The parabola is opening downwards. The distance from the vertex to the focus is 5 - 2 = 3. Therefore the distance from the vertex to the directrix is also 3.

Hence, the equation of the directrix is y = 5 + 3 = 8. (Since the parabola opens downwards). The equation of the parabola with the given vertex and focus is: (y - 5) = - (1/12)(x - 2)²4a = - 12a = - 3

The value of 'a' is - 3 in the above equation. Let's simplify it by substituting the value of 'a' in the equation.(y - 5) = - (1/12)(x - 2)²- 36(y - 5) = (x - 2)² We get the above equation by simplifying.

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The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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Therefore, the cost of one sausage is approximately $0.8725, which corresponds to option A: $0.56.

To find the cost of one sausage, we need to compare the prices paid by Vanessa and Anthony and determine the cost per sausage.

Let's start by calculating the cost per item for Vanessa. She paid $3.49 for 3 eggs and 1 sausage. So, the cost per item for Vanessa can be calculated as follows:

Cost per item for Vanessa = Total cost paid by Vanessa / Total number of items

= $3.49 / (3 eggs + 1 sausage)

= $3.49 / 4

= $0.8725

Now, let's calculate the cost per item for Anthony. He paid $5.29 for 2 eggs and 3 sausages. So, the cost per item for Anthony can be calculated as follows:

Cost per item for Anthony = Total cost paid by Anthony / Total number of items

= $5.29 / (2 eggs + 3 sausages)

= $5.29 / 5

= $1.058

Comparing the two cost per item values, we can see that the cost per sausage is $0.8725 for Vanessa and $1.058 for Anthony.

Therefore, the cost of one sausage is approximately $0.8725, which corresponds to option A: $0.56.

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Therefore, the cost of one sausage is approximately $0.8725, which corresponds to option A: $0.56.

To find the cost of one sausage, we need to compare the prices paid by Vanessa and Anthony and determine the cost per sausage.

Let's start by calculating the cost per item for Vanessa. She paid $3.49 for 3 eggs and 1 sausage. So, the cost per item for Vanessa can be calculated as follows:

Cost per item for Vanessa = Total cost paid by Vanessa / Total number of items

= $3.49 / (3 eggs + 1 sausage)

= $3.49 / 4

= $0.8725

Now, let's calculate the cost per item for Anthony. He paid $5.29 for 2 eggs and 3 sausages. So, the cost per item for Anthony can be calculated as follows:

Cost per item for Anthony = Total cost paid by Anthony / Total number of items

= $5.29 / (2 eggs + 3 sausages)

= $5.29 / 5

= $1.058

Comparing the two cost per item values, we can see that the cost per sausage is $0.8725 for Vanessa and $1.058 for Anthony.

Therefore, the cost of one sausage is approximately $0.8725, which corresponds to option A: $0.56.

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The order of grow of weightings in the worst case will be log n to solve the fake-coin puzzle, assuming  that a decrease by factor of 2 approach is used.

The fake coin problem is an interesting problem in which we are supposed to find a fake coin among many real coins . The trick is that the fake coin is lighter as compared to the original coins.

The fake coins will generally have a casting seams, which can be  easily seen with the normal eye.

On these fake coins coins, holes are marked more often. Additionally, many coins include intricate designs or textures that are unique to that denomination and their series.

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The three rules of logs are the product rule, quotient rule, and power rule.

The three rules of logs are fundamental rules that are used in manipulating logarithmic expressions.

Product rule:

The product rule states that the logarithm of the product of two numbers is equal to the sum of the logarithms of the individual numbers.

Quotient rule:

The quotient rule states that the logarithm of the quotient of two numbers is equal to the difference of the logarithms of the individual numbers.

Power rule:

The power rule states that the logarithm of a number raised to a power is equal to the product of the power and the logarithm of the base.

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Answer:

7/60

Step-by-step explanation:

First, we would need to add up all of the coins and know their values.

1 dime (d) = 10¢

1 nickel (n) = 5¢

1 penny (p) = 1¢

An equation we can use will look something like this:

(d × 7) + (n × 1) + (p × 3) =?

Now just add the numbers and solve.

(10 × 7) + (5 × 1) + (1 × 3) = 78

Therefore, the total amount is 78¢.

Now to figure out how much 78¢ is out of $3, we can use an equation that looks something like this:

3 ÷ 0.78 = 3.84615385 or 7/60

So, this means that with 7 dimes, 1 nickel and 3 pennies it is 7/60 of $3.

Answer:

I think the answer is 6 hours. I'm not sure though

Answer:

0.5 or 1/2 of an hour

Step-by-step explanation:

3/10 + 1/5

1/5 is equivalent to 2/10

3/10 + 2/10 = 5/10

5/10 is equivalent to 1/2

The distance of the y-intercept of force D from point C is 0 meters.

To solve this problem, we can use the principle of moments, which states that the sum of the moments about any point in a system is equal to zero in equilibrium. We'll use this principle to find the distance of the y-intercept of force D from point C.

Let's denote the distance from point C to the y-intercept as d.

- Moment at point A = 159 N m (counterclockwise)

- Moment at point B = 57 N m (clockwise)

- Distance from point C to the y-intercept = d

Since the y-intercept lies on the x-axis, the vertical distance from the x-axis to the y-intercept is zero.

Now, let's consider the moments at point A and point B:

Moment at A = Moment at B

159 N m - 57 N m = 0

102 N m = 0

This implies that the clockwise moment at B balances out the counterclockwise moment at A.

Now, let's consider the moments at point C:

Moment at C = Moment due to force D - Moment due to y-intercept

Moment at C = 0 - (d * D)

Since the moments at point C balance out as well, we have:

Moment at C = 0

0 = -dD

This implies that dD = 0, which means either d = 0 or D = 0.

Since D represents a force and cannot be zero, we conclude that d = 0.

Therefore, the distance of the y-intercept of force D from point C is 0 meters.

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Correct question-

A force D intersect the x-axis between point C and 3.7 m from point B. If the moments at points A and B are 159 N m counterclockwise and 57 N-m clockwise respectively. Find the distance in meters of the y-intercept of force D from point C.

Answer:

4

Step-by-step explanation:

Answer:

he// if i know

Step-by-step explanation:

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)

Answer:

You need 58.44/10=5.844 g NaCI

Answer:

The answer is

\(y = - 5x - 2\)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, The is what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 2 - 3}{0 - ( - 1)} = \frac{ - 5}{ \: \: \: 1} = - 5\)

➋Second: We find the y-intercept.

\(y = mx + b \\ 3 = - 5( - 1) + b \\ 3 = 5 + b \\ \frac{ - 5 = - 5 \ \ \: \: \: \: \: \: }{ - 2 = b}\)

➌Third: Plug in.

\(y = - 5x - 2\)

The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.

To simplify the given expression, let's break it down step by step.

The expression is:

\((-7a^3b^{-3}) / (21ab)\)

First, we can simplify the numerator by applying the exponent rules.

The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:

\((-7a^3) / (21ab^3)\)

Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:

\((-a^3) / (3ab^3)\)

Now, we can simplify the remaining terms by canceling out the common factor of 'a':

\((-a^2) / (3b^3)\)

Finally, we have simplified the expression to \((-a^2) / (3b^3)\).

In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.

To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)

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Answer:

D, 35

Step-by-step explanation:

7b, if b=5, is the same as 7(5), or 7*5, which equals 35.

Answer:

35

Step-by-step explanation:

7B = 5+5+5+5+5+5+5 which equals 35

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The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

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Answer:

The correct option would be D: -110 feet / 10 minutes

1) Tash is multiplying each number of the bracket while Taylor solves the bracket first and then applied multiplication.

2) The solution to the expression 7(x + 2) is 7x + 14.

According to the distributive property the same expression can be written in different ways by using the parenthesis or common multiplications.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Part(1),

Taylor's solution is,

5(9 + 2)

5(11)

Tash's solution is,

5(9 + 2)

5(9) + 5(2)

Tash is multiplying each number of the bracket while Taylor solves the bracket first and then applied multiplication.

Part(2),

The solution to the expression 7(x + 2 is,

E = 7(x + 2

E = 7x + 14

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Answer:

1:  > (X is greater than 0)

2: ≥ (X is greater than or equal to -3)

3: ≤ (X is greater than or equal to -2)

4: ≥ (X is greater then or equal to 6)

Step-by-step explanation:

:) (correct or not? maybe)

The required statements and reasons to complete the two column proof are explained below.

When on  comparison the corresponding length of sides of two triangles have some common properties, then they are said to be similar. Though similarity does not imply congruency.

The complete two column proof is shown as thus:

      STATEMENT               REASON

1. FG/FH = KJ/KH              Given

2. <H ≅ <H                        Reflexive property

3. ΔFHK ~ ΔGHJ               Two pairs of corresponding sides are proportional

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Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

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

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Answer:

c

Step-by-step explanation:

Answer:

C is corect answer to this exercice

Answer:

9.94987437107

Step-by-step explanation:

or 9.95 hope this helps you could also use 3√11

Increasing the sample size from 41 to 63 would likely have a positive impact on the confidence interval. The confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of certainty.

A larger sample size can lead to a narrower confidence interval, which means that the range of values is more precise and more likely to include the true population parameter.
This is because a larger sample size can reduce the standard error of the mean, which is a measure of how much the sample mean is likely to vary from the population mean. A smaller standard error means that the sample mean is a more accurate estimate of the population mean, which in turn leads to a more precise confidence interval.
Another factor that can impact the confidence interval is the level of confidence chosen. The most common level of confidence is 95%, which means that there is a 95% chance that the true population parameter falls within the confidence interval. Increasing the sample size can lead to a more precise confidence interval at the same level of confidence.
It is worth noting that there are other factors that can impact the confidence interval, such as the variability of the data and the distribution of the population. However, in general, increasing the sample size is likely to have a positive impact on the confidence interval, making it more precise and more likely to include the true population parameter.

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Answer:

x = 12

Step-by-step explanation:

Multiply each side by 10:

x/10 × 10 = 6/5 × 10

x = 6/5 × 10/1

x = 12