Which of the following is the equation of a line that has a slope of 5 passes through the point (-3, 7)?

Answer:

y = x/2 +4

Step-by-step explanation:

new slope = -1/-2 = 1/2

x1 = -4, y1= 2

y-y1 = m(x-x1)

y - 2 = 1/2 {x- (-4)}

y-2 = 1/2 (x+4)

y-2 = x/2 + 2

y = x/2 +2+2

y = x/2 +4

Answer:

\(\Huge \boxed{\mathrm{0.75}}\)

Step-by-step explanation:

Integers are whole numbers.

Integers include all negative and positive whole numbers. Zero is also included as an integer.

36 is a positive whole number. 36 is an integer.

0 is a whole number. 0 is an integer.

-22 is a negative whole number. -22 is an integer.

0.75 is not a whole number. 0.75 is not an integer.

Answer:

2x - 4 + 2x

Step-by-step explanation:

4 ( x - 1 )

= 4 ( x ) - 4 ( 1 )

= 4x - 4

= 2x + 2x - 4

= 2x - 4 + 2x

Answer: your anwser would be 5x + 17

Step-by-step explanation:  add that and get your anwser please mark brainliest thank you:)

Answer:

i guess the answer is : 5x + 17

Step-by-step explanation:

Distribute :

2(x+7) +3 (x+1)

2x + 14 + 3 ( x + 1 )

2x + 14 + 3 (x + 1 )

2x + 14 + 3x + 3

Add the numbers :

2x + 14 + 3x + 3

2x + 17 + 3x

combine like terms:

2x + 17 + 3x

5x + 17

solution :

= 5x + 17

Answer:

4x=8 8+8=16

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The coordinates of the point M' is (-6,2) when the point M was reflected across x =-2.

Here, assume that there is a point A(a, b). This point is reflected across the line x = -2. When reflected across this line, the value of the y coordinate of this point A will not change, only the value of the x coordinates of the point A will change.

Here, the point M(1,2) is reflected across the line x = -2.

The coordinates of the reflected point M' are (a, b).

The value of will b will remains same as that of the point M.

Now, the location of a,

the distance between the line x = -2 and a will be same as that of the distance between 2 and x =-2 which is 4 units,

So, the location of a will be fours units away from x =-2 and in the opposite direction so, a = -6

So, the Point M' is (-6,2)

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Answer: B

Step-by-step explanation:

Answer

Step-by-step explanation:

Answer:

The coordinates of the pre-image of (9, -2) will be: (3, 2)

Step-by-step explanation:

Given the translation rule:

(x, y) → (x + 6, y - 4)

This translation indicates that the image of the original object must have been determined by adding 6 units (moving right) to the x-coordinate and subtracting 4 units (moving down) to the y-coordinate.

Given the image

According to the translation rule (x, y) → (x + 6, y - 4)

(x, y) → (x + 6, y - 4)

Determining the x-coordinate of the pre-image:

x+6 = 9

x = 9-6

x = 3

Determining the y-coordinate of the pre-image:

y-4 = -2

y = -2+4

y = 2

Thus, the coordinates of the pre-image of (9, -2) will be: (3, 2)

Answer:

choose yourself

Step-by-step explanation:

as I understand it:

\((-4x^{-3}y^{-5} )^2\\\\\) correct me if i'm wrong

\((-4x^{-3}y^{-5})^2\\\\=(-4)^2(x^{-3})^2(y^{-5})^2\\\\=16(x^{-6})(y^{-10})\\\\=16x^{-6}y^{-10}\)

you can leave it here if you like

\(=16(\frac{1}{x^6} )(\frac{1}{y^{10}})\\\\=\frac{16}{x^6y^{10}}\)

Answer:

3/8

Step-by-step explanation:

Answer:

Down below hope it helps :)

Step-by-step explanation:

The evidence "SAY" was only written once. It wasn't by the same article, the writer introduces two separate articles.

Kinda confused by this question but I think that's the answer.

Answer: 74.52 if the question is how far she swims

Step-by-step explanation:

To determine the percentage of a number in relation to another, you divide the first number by the second number and multiply by 100. This formula can be used in various scenarios, such as calculating discounts, proportions, or ratios.

1. First, divide the number you want to find the percentage of by the number you want to compare it to.
  For example, let's say you want to find out what percentage 25 is of 100. You would divide 25 by 100, resulting in 0.25.

2. Next, multiply the result from step 1 by 100 to get the percentage.
  Using our previous example, you would multiply 0.25 by 100, giving you 25%.

Therefore, 25 is 25% of 100.

Here's another example to help solidify the concept:

Suppose you want to find out what percentage 60 is of 200.

1. Divide 60 by 200, which equals 0.3.

2. Multiply 0.3 by 100, resulting in 30%.

Hence, 60 is 30% of 200.

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The transition matrix from B to B' is given by:

P = [

[10, 12, 3],

[5, 4, -3],

[19, 20, -1]

]

This matrix can be found by multiplying the coordinate matrices of B and B'. The coordinate matrices of B and B' are given by:

B = [

[4, 1, -6],

[3, 1, -6],

[9, 3, -16]

]

B' = [

[5, 8, 6],

[2, 4, 3],

[2, 4, 4]

]

The product of these matrices is given by:

P = B * B' = [

[10, 12, 3],

[5, 4, -3],

[19, 20, -1]

]

This matrix can be used to convert coordinates from the basis B to the basis B'.

For example, the vector (4, 1, -6) in the basis B can be converted to the vector (10, 12, 3) in the basis B' by multiplying it by the transition matrix P. This gives us:

(4, 1, -6) * P = (10, 12, 3)

The transition matrix maps each vector in the basis B to the corresponding vector in the basis B'.

This can be useful for many purposes, such as changing the basis of a linear transformation.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

-5/3 would be the greatest.

because 5/3= -1.66666666667

There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.The prime numbers are:5, 7, 11, 13Product of two of the prime numbers are:35, 55, 65, 77, 85, 91, 115, 143, 165, 385

Product of three of the prime numbers is:385 Product of all the prime numbers is: 5005There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once. Prime numbers are numbers that are only divisible by 1 and itself. 5, 7, 11, and 13 are prime numbers.

The question is asking to find the number of positive integers that can be expressed as a product of two or more of these prime numbers without including the same prime factor more than once. The products of two prime numbers are: 5 x 7 = 35, 5 x 11 = 55, 5 x 13 = 65, 7 x 11 = 77, 7 x 13 = 91, 11 x 13 = 143. There are six of these products. The products of three prime numbers is 5 x 7 x 11 = 385. There is only one of this product. There are fifteen possible positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.

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Step-by-step explanation:

z = x + ab

x + ab = z

ab = z - x

b = (z - x)/a

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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Applying the rule of  angle of intersecting chord, the value of arc AC is

The measure of arc AC is done using the concept of 2 chords intersecting inside a circle this results to the formula

angle x = 1/2 (measure of arc AC + measure of arc BD)

Solving for measure of arc AC

2 * angle x = measure of arc AC + measure of arc BD

measure of arc AC = 2 * angle x - measure of arc BD

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The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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The most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid.

When CO2 is bubbled through an aqueous solution, it can react with water to form carbonic acid (H2CO3). This reaction occurs due to the dissolution of CO2 in water, which undergoes a chemical equilibrium process. Carbonic acid is a weak acid that can release hydrogen ions (H+) into the solution, thus lowering the pH. The presence of carbonic acid lowers the pH value compared to the original pH of the solvent.

This phenomenon is commonly observed when CO2 is dissolved in water, such as in carbonated beverages. The carbonic acid formed from the reaction with CO2 contributes to the acidic properties of the solution. Therefore, the most likely cause for the change in pH after bubbling CO2 through the solution is the formation of carbonic acid, leading to a decrease in pH.

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Answer:

1/16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

4^6/4^8

4^(6-8)

4^-2

We know that a^-b = 1/a^b

1/4^2

1/16

Answer:

D

Step-by-step explanation:

Using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) with n > m

= \(\frac{1}{a^{(n-m)} }\) , then

\(\frac{4^{6} }{4^{8} }\)

= \(\frac{1}{4^{(8-6)} }\)

= \(\frac{1}{4^{2} }\)

= \(\frac{1}{16}\) → D

Answer:

Step-by-step explanation:

Given:

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken=?

Now,

P=x/n

P=124/400

P= 124/4×100

P= 32/100

P= 0.32 or 32%

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0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

Estimate of Proportion: If we divide the random variable, the mean, and the standard deviation by n, we get a normal distribution of proportions with P′, called the estimated proportion, as the random variable. (Recall that a proportion as the number of successes divided by n.)

a simple random sample of 400 individuals provides 124 yes responses

The point estimate of individuals that would provide yes responses is the sample proportion.

n= Total number of random sample of people taken=400

x= Number of people who provided yes responses= 124

P= The point of estimate of the sample of the population portion taken

The sample proportion is calculated by dividing number of yes responses by sample size

p = x/n = 124/400= 0.31 or 31%

0.31 or 31% is the point estimate of the proportion of the population that would provide yes responses

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Answer:

A. x<7

Step-by-step explanation:

(✿◡‿◡) <-- She wants Brainliest

The time when the altitude of the balloon is 370.4 feet is 6 minutes.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope the steeper is its graph or the rate of change is large.

We know The slope of the line is (y₂ - y₁)/(x₂ - x₁).

Therefore, The slope of the line passing through the points

​(0​,428​) and ​(10​,​332) is,

Slope(m) = (332 - 428)/(10 - 0).

Slope(m) = - 9.6, So the balloon is descending at a rate of - 9.6 feet per minute.

Now, To obtain the y-intercept.

428 = - 9.6(0) + b.

b = 428.

Therefore, The equation of the required line is,

y = - 9.6x + 428, where y is the altitude and x is the number of minutes.

So, The time in minutes when the altitude of the balloon is 370.4 feet is,

370.4 = - 9.6x + 428.

- 9.6x = - 57.6.

x = 57.6/9.6.

x = 6 minutes.

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Answer:

Image result for 1.117 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice

In the US, reduced- acid orange juice is marketed to persons with sensitive stomachs. Orange juice concentrate can be bought with different ratios – typical values lie between 14 and 17. Juice acidity is measured using a chemical titration method. Orange juice contains acids that release hydrogen ions (H+) in solution.

Step-by-step explanation:

Answer:

Infinite solution

Step-by-step explanation:

each is 1/3 when divided