What is the equation of a line that is perpendicular to y=2x+5 and passes through (-6,4)?

Group of answer choices

y=1/2x+4

y=-1/2x

y=-1/2 x+1

y+2x+10

The first polynomial is a constant polynomial with degree of zero, the second polynomial is linear with degree of 1 and containing 2 terms.

9) The first polynomial is -2. it has no degree as there is no variable in the polynomial.

10) The second polynomial is 7k + 3 . The variable is k and it has the degree of one.

11) The third polynomial is  -6b³-9b .

Here the variable b is raised to a power of 3, so the degree of this polynomial is 3 and there are 2 terms in the polynomial.

An equation that can be converted into a polynomial by adding, multiplying, and raising it to a non-negative integer number can be made from variables, other constants, and symbols.

Constants are any expressions that do not include indeterminates and describe mathematical things that can be multiplied and added to. They are frequently numbers.

The degree of a polynomial is the highest degree among its monomials (individual terms) with non-zero coefficients. The exponents of all the variables that appear in a term are added to get a non-negative number that represents the phrase's degree.

To learn more about polynomial visit:

https://brainly.com/question/27232324

#SPJ9

Answer:

Step-by-step explanation:

Standard form of the equation:

y  = \(-\frac{1}{4} (x+3)^2+3\)

Directrix: y=4

Focus: (-3,2)

Points on the parabola (x,y):

(-5,2) (-3,3) (-1,2)

Distance from points to focus:

(-5,2) = (-3,2)

Answer choices:  (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2

(-5+3)^2+(2-3)^2=5

(-5-2)^2+(2+3)^2=74

(-5+3)^2+(2-2)^2=4

(-1,2)

Answer:

13.142

Step-by-step explanation:

The sum of the decimal numbers will be 13.142.

What is Decimal number?

A decimal number is a number that consists of a whole and a fractional part.

Given that;

The expression of the decimal numbers are,

⇒ 6.338 + 2.705 + 4.099

Now,

Since, The expression of the decimal numbers are,

⇒ 6.338 + 2.705 + 4.099

Add the numbers as;

 6.338

 2.705

+4.099

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

13.142

Thus, The sum of the decimal numbers will be 13.142.

Learn more about the decimal number visit:

https://brainly.com/question/24342270

#SPJ6

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.

The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.

For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.

Learn more about median here https://brainly.com/question/28060453

#SPJ4

Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.

Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.

f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.

On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.

To know more about statement,

https://brainly.com/question/31502625

#SPJ11

Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

Answer:

20.25

Explanation

2.70 times 7.5 = x

2.70 times 7.5 = 20.25

The remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

As given in the question,

Dividend of the given division is equal to :  ( x³+5x²−32x−7 )

Divisor of the given division is equal to : ( x−4 )

Divide the given dividend ( x³+5x²−32x−7 ) by divisor  ( x−4 ) remainder we get,

( x³+5x²−32x−7 )

= x³ -4x² +9x² -36x +4x-16 +9

= x²(x-4) + 9x (x-4) +4(x-4) + 9

= (x-4)(x² +9x +4) + 9

Quotient is equal to (x² +9x +4)

Remainder is equal to 9

Therefore, the remainder of the given division ( x³+5x²−32x−7 ) ÷ ( x−4 ) is equal to 9.

Learn more about remainder here

brainly.com/question/9160275

#SPJ1

Answer:

the first answer is maybe correct

Answer:

She will pay $75.00 less.

Step-by-step explanation:

To get ⅕ of 250, divide it by 5. (250÷5=50)

You also need to take 10% off of the original price. To do that, multiply 250 by 0.1. (250×0.1=25)

In total, she will pay $75.00 less, or $175.00. (50+25=75) (250-75=175)

The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

A t-distribution table determines the t-percentile required to construct two-sided confidence intervals. The first step in determining the t-percentile is to know the degrees of freedom and confidence level. The next step is to find the critical value of t from a t-distribution table. The t-distribution table lists values for the probability density function, cumulative distribution function, and percentile points of the t-distribution.

The table is arranged in rows and columns, with the rows corresponding to the degrees of freedom and the columns corresponding to the significance level. The critical value of t is the value that separates the central area of the t-distribution from the tails of the distribution. It is used to define the boundaries of the confidence interval. The t-value is the same as the critical value of t, but it has a positive or negative sign depending on whether the confidence interval is one-sided or two-sided. The t-percentile that is required to construct two-sided confidence intervals is given by the following steps:

Step 1: To determine the t-percentile, the degrees of freedom and confidence level are needed.

Step 2: Find the critical value of t from a t-distribution table.

(a) 95% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 95% confidence level, the value of t is found to be 2.1318. Therefore, to construct the confidence interval, the t-value is ± 2.1318.

(b) 95% confidence level, 24 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 24, a 95% confidence level, the value of t is 2.064. Therefore, to construct the confidence interval, the t-value is ± 2.064.

(c) 99% confidence level, 13 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 13, a 99% confidence level, the value of t is 3.012. Therefore, to construct the confidence interval, the t-value is ± 3.012.

(d) 99.9% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 99.9% confidence level, the value of t is found to be 3.579. Therefore, to construct the confidence interval, the t-value is ± 3.579.

The t-percentile can be found using a t-distribution table, which lists the critical value of t for different degrees of freedom and significance levels. The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

To know more about the t-distribution table, visit:

brainly.com/question/30401218

#SPJ11

Answer:

Angelica’s house is 7.81 miles from the gas station

Step-by-step explanation:

By pythogorean theorem, AG² = AP² + GP²

A (4,3), G(10,8), P(10,3)

Since AP lies along the x axis, the distance is calculated using the x coordinates of A and P

AP = 10 - 4 = 6

GP lies along the y axis, so the distance is calculated using the y coordinates of G and P

GP = 8 - 3 = 5

AG² = 6² + 5²

= 36 + 25

AG² = 61

AG = √61

AG = 7.81

(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.

(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.

(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.

To learn more about vector click here: brainly.com/question/24256726

#SPJ11

We conclude that Michael worked for a total of 11.46 hours in the weekend.

We know that during the weekend, the times that he used for each task are:

The total time is given by the sum between the above numbers, where the difficulty is the fact that the 3 numbers are in different notations (decimal, fraction, and mixed).

The sum is:

S = (6 + 3/7) h + 4.37 h + 2/3 h

The easier way to do this, is to write the 3 numbers in decimal form:

2/3 = 0.66

6 + 3/7 = 6 + 0.43 = 6.43

Then the total time is:

S = 6.43 h + 4.37h + 0.66h = 11.46 h

We conclude that Michael worked for a total of 11.46 hours in the weekend.

If you want to learn more about sums:

https://brainly.com/question/17695139

#SPJ1

We need to calculate the surface area

We have 6 faces and three different rectangles

The red rectangles are equals

The green rectangles are equals

The blue rectangles are equals

The formula for the area of a rectangle is

where

l is the length

w is the width

The area for one red rectangle

l=10

w=5

The area for one green rectangle is

l=10

w=7

The area for one blue rectangle

l=7

w=5

The total area is

Then we need to transform the square inches to square feet

1 square ft = 144 square inches

x square ft = 310 square inches

Mrs Harris will need 2.15 square ft to wrap the prism

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

Answer:

May be the second one

Step-by-step explanation:

hope it'll help ☺️

The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."

This translation accurately reflects the given equation. The term "5 times a number" represents 5x, indicating that the number is multiplied by 5. The term "Seven less than" signifies that 7 is subtracted from the result of 5 times a number. Finally, the phrase "is 3" states that the resulting expression is equal to 3. Therefore, the translation "Seven less than 5 times a number is 3" captures the essence of the equation 5x - 7 = 3 in a concise and accurate manner.

Therefore, The correct translation of the equation 5x - 7 = 3 is "Seven less than 5 times a number is 3."

Learn more about Equation here

https://brainly.com/question/31718497

#SPJ2

The graphs for the man walking slowly and walking quickly differ in various ways. Graphs are graphical representations of data that display how two variables relate to each other. Time is plotted on the x-axis, whereas the distance travelled by the man is plotted on the y-axis. A line graph is used to plot the data in each case.

The following are the differences between the graphs for the man walking slowly and quickly: Graphs for a man walking slowly: When the man walks slowly, the slope of the line graph is relatively gentle. In a given time interval, the man walks a shorter distance. As a result, the graph's slope will be less steep. The graph's slope increases as the man's pace slows down. Graphs for a man walking quickly:

When the man walks quickly, the slope of the line graph is steep. The man will walk a more extended distance in the same amount of time. As a result, the graph's slope will be more significant. The graph's slope will decrease as the man's pace increases.Based on the above information, we can conclude that the slope of the graph depends on how quickly or slowly the man walks. Therefore, the graphs for the man walking slowly and quickly differ in slope.

To know more about x-axis visit:

https://brainly.com/question/2491015

#SPJ11

Answer:

\(\frac{\sqrt{2 + \sqrt{3} } }{2}\)

The exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers.

According to the given question, we have

A trigonometric function, \(sin\frac{5\pi }{12}\)

Now, the exact value of \(sin\frac{5\pi }{12}\)   is given by

\(sin\frac{5\pi }{12} = sin\frac{\frac{5\pi }{6} }{2}\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\)±\(\sqrt{\frac{1-cos\frac{5\pi }{6} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =±\(\sqrt{\frac{1-cos(\pi -\frac{\pi }{6}) }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} =\) ±\(\sqrt{\frac{1+cos\frac{\pi }{6} }{2} }\)

⇒ \(sin\frac{\frac{5\pi }{6} }{2} =\) ± \(\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2}\) =± \(\sqrt{\frac{2+\sqrt{3} }{4} }\)

⇒\(sin\frac{\frac{5\pi }{6} }{2} = \frac{\sqrt{2+\sqrt{3} } }{2}\)   (considering positive value)

Since, \(sin\frac{5\pi }{12}\) lies in first quadrant and sin is positive in first quadrant. Therefore, we will consider only positive value.

Hence, the exact value of \(sin\frac{5\pi }{12}\) is \(\frac{\sqrt{2+\sqrt{3} } }{2}\).

Learn more about the exact value of trigonometric function here:

https://brainly.com/question/19552534

#SPJ2

Answer:

Part A: 120000000 is the difference

Part B: A 8 minutes, 20 seconds

Step-by-step explanation:

I'm an expert

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

Answer:

42 miles ≈ 68 km

35 km ≈ 22 miles

150 miles ≈ 252 km

Step-by-step explanation:

1 mile ≈ 1.6 km - just look at the picture

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

\(f'(x)=\frac{f(b)-f(a)}{b-a}\)

Given the function

\(f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\\)

Get the value of f(2)

\(f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\\)

Substitute into the formula to have:

\(f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4\)

Hence the average rate of change of the function is -59.4

Learn more on the rate of change here: https://brainly.com/question/11627203

Based on the information provided, it can be concluded that Houa can drive 125 miles for 7 gallons of gas.

To determine the number of gallons this person can drive, just observe the graph presented and determine the value of Y (miles driven) when the value of x (gallons of gas) is 7. Based on this principle it can be concluded that for 7 gallons Houa can drive 125 miles.

This implies that if we compare both cars (Houa's and Lincoln's), the car that requires less gasoline is Lincoln's car.

Learn more about graphs in https://brainly.com/question/17267403

#SPJ1

The function f is increasing for x > 3/2.

To determine the values of x for which the function f is increasing, we need to find the critical points of f, which are the values of x where the function changes from increasing to decreasing or vice versa.

The first step is to find the derivative of f:

f'(x) = (2x - 3)e-x

Next, we need to find the critical points by setting f'(x) = 0 and solving for x:

(2x - 3)e-x = 0

2x - 3 = 0

x = 3/2

This is the only critical point of f. To determine the behavior of f near this critical point, we need to find the second derivative of f:

f''(x) = (2 - 3e-x)

For x < 3/2, f''(x) < 0, which means f is concave down and f'(x) is decreasing. This means that f is decreasing for x < 3/2.

For x > 3/2, f''(x) > 0, which means f is concave up and f'(x) is increasing. This means that f is increasing for x > 3/2.

You can learn more about function f at

https://brainly.com/question/25638609

#SPJ4

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

for more such question on linear visit

https://brainly.com/question/2030026

#SPJ8

a) The probability that the driver is incorrectly classified as being over the limit is 0.06.

b) The probability that the driver is correctly classified as being over the limit is 0.90.

c) The probability that the driver gives a breathalyser test reading that is over the limit is 0.222.

d) The probability that the driver is under the legal limit, given that the breathalyser reading is below the limit, is 0.944.

Part a) To calculate the probability that the driver is incorrectly classified as being over the limit, we need to consider the probability of a false positive. This occurs when a driver who has not consumed an excess of alcohol is classified as being over the limit.

Given that 6% of drivers who have not consumed an excess of alcohol give a reading above the legal limit, the probability of a false positive is 0.06.

Therefore, the probability that the driver is incorrectly classified as being over the limit is 0.06.

Part b) The probability that the driver is correctly classified as being over the limit is the complement of the probability of a false negative. A false negative occurs when a driver who is above the legal limit gives a reading below that level.

Given that 10% of drivers who are above the legal limit give a reading below the limit, the probability of a false negative is 0.10.

Therefore, the probability that the driver is correctly classified as being over the limit is 1 - 0.10 = 0.90.

Part c) To find the probability that the driver gives a breathalyser test reading that is over the limit, we need to consider both the drivers who are above the legal limit and incorrectly classified as being over the limit (false positive) and the drivers who are above the legal limit and correctly classified as being over the limit.

The probability of a breathalyser test reading that is over the limit is the sum of these two probabilities: the probability of a false positive (0.06) and the probability of correctly classifying a driver who is above the limit (0.17 * 0.90).

Therefore, the probability that the driver gives a breathalyser test reading that is over the limit is 0.06 + (0.17 * 0.90) = 0.222.

Part d) To find the probability that the driver is under the legal limit, given that the breathalyser reading is also below the limit, we need to consider the drivers who are below the legal limit and correctly classified as being below the limit (true negative) and the drivers who are below the legal limit and incorrectly classified as being over the limit (false positive).

The probability of a driver being under the legal limit, given that the breathalyser reading is below the limit, is the probability of a true negative divided by the sum of the probabilities of a true negative and a false positive.

The probability of a true negative is 1 - the probability of a false positive (0.06).

Therefore, the probability that the driver is under the legal limit, given that the breathalyser reading is below the limit, is (1 - 0.06) / (1 - 0.06) + 0.06 = 0.944.

For more question on probability visit:

https://brainly.com/question/25839839

#SPJ8

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

Learn more about median here

https://brainly.com/question/28060453

#SPJ4

Answer:

True

Step-by-step explanation:

The probabilities of all outcomes add to 1.