The functions f ( x ) and g ( x ) are shown below. Table of f ( x ) : x f ( x ) -4 7 -2 5 0 3 2 1 4 -1 Graph of g ( x ) : In two or more complete sentences, compare the slopes of the two functions. In your comparison, include which function has the greatest slope.The functions f ( x ) and g ( x ) are shown below. Table of f ( x ) : x f ( x ) -4 7 -2 5 0 3 2 1 4 -1 Graph of g ( x ) : In two or more complete sentences, compare the slopes of the two functions. In your comparison, include which function has the greatest slope.

Answer:

10-x=d

(d = diferencia de 10 y x)

Answer:

11.85

Step-by-step explanation:

Tan 28 = opposite / adjacent

Answer:

the distance from the pole is 11.85 ft.

Step-by-step explanation:

Given;

the elevation to the top of the pole, θ = 28⁰

height of the pole, h = 6.3 ft

let the distance from the pole = x

If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.

                                ↑

                                ↑ h = 6.3 ft

                                ↑

         28⁰ ---------------

                       x

\(tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft\)

Therefore, the distance from the pole is 11.85 ft.

Answer:

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

Given that the slope of the line is m = 4/6, we can substitute it into the equation.

We know that the line passes through the point (1, -1), so we can use that point to find the value of b.

Plugging in the point (1, -1) into the equation, we get:

-1 = (4/6)(1) + b

Solving for b, we get:

b = -1 - (4/6) = -1 - 2/3 = -5/3

So the equation of the line is:

y = (4/6)x - (5/3)

which can be rewritten as

y = (2/3)x - (5/3)

this line is the equation of the line you are looking for.

Answer:

Y--1=m(x-1) this is the rule of the equation of straight line

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

The standard normal curve can be described as a bell-shaped curve or Gaussian distribution. It is used to model a variety of phenomena in many fields, including physics, finance, and engineering. Its mean is zero, and its standard deviation is one.

The standard normal curve is symmetrical about the mean and is characterized by the empirical rule. The majority of the population is distributed within one, two, and three standard deviations from the mean (68%, 95%, and 99.7%, respectively).

Part a)13th percentile can be calculated using the standard normal distribution tables. From the tables, the value of z when the area under the curve to the left of z is 0.13 is -1.04. Therefore, the 13th percentile is -1.04. 80th percentile can be calculated in the same way as 13th percentile.

The value of z when the area under the curve to the left of z is 0.8 is 0.84. Therefore, the 80th percentile is 0.84.Part b)The values of Q and Q3 cannot be obtained from the standard normal curve since the standard normal curve is not used to study a particular set of data.

It is used to model phenomena with a normal distribution with a mean of zero and a standard deviation of one. Instead, the quartiles can be calculated using the empirical rule in conjunction with the normal distribution tables.

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Answer:

450:155 min

450/150.75=2.98

155 x 2.98=462.69 minutes

=7 hours 43 minutes

The probability that the jury makes the correct decision is approximately 0.7063.

To solve this problem, we need to find the probability that the jury makes the correct decision if the defendant is guilty. Let's break down the problem into smaller steps.

We know that the probability of a single juror making the correct decision is 0.80. If the defendant is guilty, then the probability of a juror making the correct decision is still 0.80. Therefore, the probability that a single juror makes the correct decision if the defendant is guilty is 0.80.

We can use the binomial distribution formula to determine the probability of at least 10 out of 12 jurors making the correct decision. The formula is:

P(X ≥ k) = 1 - Σ(i=0 to k-1) [n!/(i!(n-i)!) x \(p^i \times (1-p)^{(n-i)}\) ]

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Plugging in the values, we get:

P(X ≥ 10) = 1 - Σ(i=0 to 9) [12!/(i!(12-i)!) x \(0.80^i \times (1-0.80)^{(12-i)}\)]

Using a calculator or software, we can calculate this to be approximately 0.7063.

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When it comes to printing full-color pictures, it usually involves using the CMYK color model which stands for cyan, magenta, yellow, and black.

These colors are combined in different amounts to create a wide range of colors and shades. Therefore, the answer to your question is three plus black. The colors cyan, magenta, and yellow are combined to produce a wide range of colors, while the black is added to enhance contrast and to create darker tones.

This combination of colors provides a more accurate and vibrant representation of the original picture. It is important to note that there are other color models used for printing such as RGB (red, green, and blue) which is used for digital displays, but for printing purposes, CMYK is the most common.

In conclusion, full-color pictures are printed using three colors (cyan, magenta, and yellow) plus black to enhance contrast and create darker tones. This combination of colors provides a more accurate and vibrant representation of the original picture.

This model consists of four ink colors: cyan (C), magenta (M), yellow (Y), and key (black, K). These four inks are combined in various proportions to produce a wide range of colors in the final print. Therefore, the correct answer would be four colors (CMYK), including black.

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The total distance of the trip is given as follows:

A. 15.2 km.

Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:

v = d/t.

Then the distance can be given as follows:

d = vt.

The first distance is given as follows:

d = 14.4 x 3/4

d = 10.8 km.

The second distance is given as follows:

d = 13.2 x 1/3

d = 4.4 km.

Hence the total distance is obtained as follows:

10.8 + 4.4 = 15.2 km.

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The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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Answer:

D

Step-by-step explanation:

To find the function when it is divided by 2x-5 with a quotient of 2x^2-2x-3 and a remainder of -8, follow these steps:

1. Set up the division equation: function = (divisor × quotient) + remainder
2. Substitute the given terms: function = ((2x-5) × (2x^2-2x-3)) - 8

Now, expand and simplify the equation:

3. Multiply the divisor and quotient: function = (4x^3 - 4x^2 - 6x - 10x^2 + 10x + 15) - 8
4. Combine like terms: function = 4x^3 - 14x^2 + 4x + 7

The function in standard form is 4x^3 - 14x^2 + 4x + 7.

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The statement that could not be used to prove that m<8 = 72 is m∠3=144.

A line that intersect any two parallel lines at a point each is termed a transversal. This forms a series of angles at the intersecting point which have similar properties.

In the given diagram,

m<2 + m<3 = 180^o       (sum of angles on a line)

2x + 3x = 180

5x = 180

x = 180/ 5

 = 36

x = 36^o

Then,

m<2 = 2x

       = 2*36

       = 72

m<3 = 3x = 3* 36

       = 108^o

So that the statement that could not be used to prove that m<8 = 72 is m∠3=144.

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

d is the right answer

Answer:

I can't tell

Step-by-step explanation:

bcos there is no quantity or number... sorry

Answer:

A

Step-by-step explanation:

because it A because I can done that fast

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

<95141404393>

Step-by-step explanation:

N + 7 < -8

N < -8 - 7

N < -15

Yes, a point of inflection exists where f''(x) = DNE.

We know that the point of inflection, also known as the inflection point, is where the function's concavity changes. Changing the function from concave down to concave up, or vice versa, means that. In other words, an inflection point is a location at which the rate of slope change from an increasing to a decreasing manner, or vice versa, occurs. There is no doubt that those points are neither local maxima nor minima. They are called stationary points.

Let's take an example \(f(x) = x^{\frac{1}{3} }\)

Here, \(f'(x)=\frac{1}{3x^{\frac{2}{3} } }\)

and \(f''(x)=-\frac{2}{9x^{\frac{5}{3} } }\)

Clearly f''(x) = DNE at x = 0. We are going to check if x = 0 is a point of inflection or not.

At x = -1, (left side of 0), \(f''(-1)=-\frac{2}{9(-1)^{\frac{5}{3} } }=\frac{2}{9} > 0\) (concave up)

At x = 1, (right side of 0), \(f''(1)=-\frac{2}{9(1)^{\frac{5}{3} } }=-\frac{2}{9} < 0\) (concave down)

Then by the definition, we can conclude that x = 0 is a point of inflection.

Therefore, a point of inflection exists where f''(x) = DNE.

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Answer:The last option is correct.

Step-by-step explanation:

Answer:

"The interviewer for the study did not record the responses of the subjects accurately." I believe this is most pertinent. B, or the boss of the subjects, could have been an answer, but if all members associated in the study exhibit the similar level of response bias based upon superior employers, then the study remains somewhat accurate, but C, or inaccurate record of responses, would remain biased entirely.

Step-by-step explanation:

Answer:

It's C on edge.

Step-by-step explanation:

Did assignment.

Answer:

8/15

Step-by-step explanation:

8/15

hope this helped!!

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.  

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1  is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

Rounding to the nearest whole number, we get 406%. Therefore, the answer is A. 406%.

To find the percentage of the second set of expenses that the first set represents, we need to first calculate the annual cost of buying coffee at the neighborhood cafe. There are 365 days in a year, so the annual cost of buying coffee is:

365 days/year × $4/day = $1,460/year

Now we can calculate the percentage of the second set of expenses (food) that the first set (coffee) represents:

($1,460/year ÷ $360/month) × 100% = 405.56%

what is whole number?

Whole numbers are a set of numbers that include all natural numbers (positive integers) along with zero. So, the set of whole numbers is {0, 1, 2, 3, 4, 5, ...}. Whole numbers are used to represent quantities that can be counted or measured, but do not include fractions or decimals. They are an important concept in mathematics and are used in various areas of study such as algebra, number theory, and arithmetic.

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Answer:

49/4

Step-by-step explanation:

Answer: 12 1/4

Step-by-step explanation:

The answer is:

5/4

Work/explanation:

Let's work out the slope of the line.

The equation is in y = mx + b form where m = slope; b = y intercept.

Similarly, in y=5/4x - 7/4, the slope is 5/4.

Answer: Nonresponse, voluntary, and convenience.

Step-by-step explanation:

For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.

For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.

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Answer:

.

Step-by-step explanation:

Answer:

\(t=\frac{x}{7}\)

Step-by-step explanation:

You need to isolate the variable t. Use inverse operations for this.

7t can be seen as 7×t, and the opposite of multiplication is division. Divide both sides by 7:

\(\frac{7t}{7}=\frac{x}{7}\\\\t=\frac{x}{7}\)

The common term 7 on the left side cancels out.

:Done

Answer:

75

Step-by-step explanation:

40 percent (calculated percentage %) of what number equals 30? Answer: 75.

Answer:

\(y=|x-(-2)|+2\)

Step-by-step explanation:

Hope this is helpful.

The required absolute function is given as y = |x - 2| + 2.

Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2

Thus, The required absolute function is given as y = |x - 2| + 2.

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The solution for the system of equations is the point (3, 5), and the difference x - y gives:

x - y = -2

Here we have the following system of equations:

5x + 3y = 30

-5x - 2y = -25

Notice that in the two equations we have the "5x", but in one case is positive and in the other negative, then we can just add them so we get:

(5x + 3y) + (-5x - 2y) = 30 - 25

(5x - 5x) + (3y - 2y) = 5

0 + y = 5

y = 5

So we found the value of y, by evaluating the second linear equation in y = 5 we will get:

-5*x - 2*5 = - 25

-5x = -25 + 2*5

-5x = -25 + 10

-5x = -15

x = -15/-5 = 3

So y = 5 and x = 3, the difference x - y gives:

3 - 5 = -2

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