Which of the following sets of numbers could not represent the three sides of a triangle?

Answer:

-15

Step-by-step explanation:

When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.

f(g(-3))

means find g(-3) first, then put that answer into f.

g(x) = x - 7

g(-3) = -3 - 7

g(-3) = -10

We found g(-3) is -10, so now put -10 into f.

f(x) = 2x + 5

f(-10) = 2(-10) + 5

= -20 + 5

= -15

Answer:

\(y=\dfrac49x\)

Step-by-step explanation:

Let \((x_1,y_1)\) = (45, 20)

Let \((x_2,y_2)\) = (72, 32)

using slope formula to find slope \(m\):

\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{32-20}{72-45}=\dfrac49\)

using point-slope formula:

 \(y-y_1=m(x-x_1)\)

\(\implies y-20=\dfrac49(x-45)\)

\(\implies y-20=\dfrac49x-20\)

\(\implies y=\dfrac49x\)

The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.

To find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:

P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Using the binomial probability formula, we can calculate:

P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024

P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680

Therefore,

P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296

Rounding this to four decimal places, we get: 0.9130

Therefore, the answer is option E: 0.9130.

Learn more about probability on

https://brainly.com/question/13604758

#SPJ1

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer:

15 hours

Step-by-step explanation:

Answer:

I sorry but I don't get this question

Answer:

I think its gonna be 35 I'm not sure

reflect the triangles across the dashed line and enter new coordinates. A (1, 4); B (4, 3); C (2, 1)

c 2,1

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

According to the given graph:

A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.

When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.

Based on these data, the numbers below appear to represent the smallest.:

= Age at graduation (in years) between 45 to 50 years.

Based on these data, the numbers below appear to represent the largest.

= Age at graduation (in years) between 20  to 25 years.

To know more about histogram visit:

https://brainly.com/question/16819077

#SPJ9

I understand that the question you are looking for is:

Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.

Frequency 20 30 Age at graduation (in years) 40 50

(a) Which of the statistics below appear to be the smallest based on these data?

(b) Which of the statistics below appear to be the largest based on these data?

Answer:

i think the answer is R y-axis(x,y)=(x,-y).

hope get it...

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

you should count how many time two or more line touches each other

Answer:

If you want to know where a line intercepts the y axis then you make substitute x for 0 and solve for y. If you want to know the intercepts for the x axis, then substitute y for 0 and solve for x.

Step-by-step explanation:

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

For more such question on combination visitr;

https://brainly.com/question/28065038

#SPJ8

Answer:

C.

Step-by-step explanation:

Any equation is always infinite. You plug in values to receive values, and since there is an unlimited amount of numbers and values, the graph of the equation will show infinite solutions to the equation.

You can test this by trying to zoom out of your graphing calc. Notice that you'll never be able to get a definite max or min.

Answer:117649

Step-by-step explanation:

To find a(100), the values of functions a(1), a(2)....... a(99) must be calculated

Recursive functions are functions that derive their value from with the function formula

This means that the current term of a recursive definition is dependent on the previous terms

The recursive function is given as

a(100)

This means that the current term of the recursion is 100

As stated above that:

The current term of a recursive definition is dependent on the previous terms

This means that we must find the previous terms before we can find a(100)

In this case, it means that we must determine the values of functions a(1), a(2)....... a(99), before the value of a(100) can be calculated

Hence, to find a(100), the values of functions a(1), a(2)....... a(99) must be calculated

Read more about recursive functions at

https://brainly.com/question/23087989

#SPJ1

Solution:

Given:

Substitute the values into the equation:

Simplify the numerator and the denominator:

Simplify the fraction:

Correct option is B.

Answer:

\([-\frac{1023}{4} ]\)

Step-by-step explanation:

\(\frac{x^6-x}{4y}\)

x = -4

y = 4

Replace all the variables with the corresponding values given:

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

Now solve,

-4 to the power of 6 is equal to -4096

\(\frac{-4096-(-4)}{4(4)}\)

we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:

\(-4096 + 4\)

\(-4092\)

\(\frac{-4092}{4(4)}\)

4(4) is equal to 16

\(\frac{-4092}{16}\)

When divided, you'll get a mixed fraction of \(-255\frac{3}{4}\)

To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.

\(-255 * 4 + 3\)

\([-\frac{1023}{4} ]\)

Answer:

7

Step-by-step explanation:

Answer:

\(R(x) = -0.00051x^2 + 5x\)

\(P(x) = -0.00049x^2 + 3x-600\)

Step-by-step explanation:

Given

\(p = -0.00051x + 5\) \(\to\) \((0 \le x \le 12,000)\)

\(C(x) = 600 + 2x - 0.00002x^2\) \(\to\) \((0 \le x \le 20,000)\)

Solving (a): The revenue function

We have:

\(R(x) = x * p\)

Substitute \(p = -0.00051x + 5\)

\(R(x) = x * (-0.00051x + 5)\)

Open bracket

\(R(x) = -0.00051x^2 + 5x\)

Solving (b): The profit function

This is calculated as:

We have:

\(P(x) = R(x) - C(x)\)

So, we have:

\(P(x) =-0.00051x^2 + 5x - (600 + 2x - 0.00002x^2)\)

Open bracket

\(P(x) =-0.00051x^2 + 5x -600 - 2x +0.00002x^2\)

Collect like terms

\(P(x) = 0.00002x^2-0.00051x^2 + 5x - 2x-600\)

\(P(x) = -0.00049x^2 + 3x-600\)

Step-by-step explanation:

4 days 6 hours = 4×24 + 6 = 102 hours

so, it consumes

7650 wh in 102 h.

or as ratio :

7650wh/102h

to find how many wh it consumes in a day (= 24h), we need to bring the denominator of the ratio fraction to 24.

and then multiply the numerator with the same factor, so that the overall fraction value is maintained.

102×f = 24

f = 24/102 = 12/51

so, now we know, to get our answer we need to do

7650/102 × (12/51 / 12/51) = (7650 × 12/51) / (102 × 12/51) =

= 1800/24

the light bulb consumes 1800 watt-hours per day.

FYI :

in 1 hour it consumes

(1800/24) / (24/24) = 75 watt-hours.

in other words, it is a 75 watt light bulb.

The point (2, 5) is a solution to the system of equations: y = x + 2.

Let's test each system of equations:

y = x - 8

2x + y = 7

Substituting x = 2 and y = 5 into the equations:

5 = 2 - 8 (not true)

2(2) + 5 = 7 (not true)

The point (2, 5) is not a solution to this system of equations.

y = x + 2

y = x + 5

y = -1/2 * x + 6

y = 3x - 1

y = 2/3 * x + 6

Substituting x = 2 and y = 5 into the equations:

5 = 2 + 2 (true)

5 = 2 + 5 (not true)

5 = -1/2 * 2 + 6 (not true)

5 = 3 * 2 - 1 (not true)

5 = 2/3 * 2 + 6 (not true)

The point (2, 5) is a solution to the equation y = x + 2.

3y + 6x - 18 = 0

Substituting x = 2 and y = 5 into the equation:

3(5) + 6(2) - 18 = 0

15 + 12 - 18 = 0

27 - 18 = 0

9 = 0 (not true)

The point (2, 5) is not a solution to this equation.

Based on the tests, the point (2, 5) is a solution to the system of equations: y = x + 2.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Answer:

c = 177n - 314

Step-by-step explanation:

c = 177n - 314

The angles are determined by a line that crosses two parallel lines.

Looking at the diagram

The angle "6x+10" is a corresponding angle with the vertical oposite angle of "7x-5"

This means that both angles are equal. So that the equation that could be used to solve x is:

Since both angles are equal.

Answer:

d. and e.

Step-by-step explanation:

i did the test

Option A and Option D represents the equation of area of rectangular piece which are A=4×\(2\frac{1}{2}\) and A=4×5/2.

The area of Rectangle is length times of width.

Given that A rectangular piece of glass is shown.

The length is measured as 4 feet.

The width is measured as 2 and one-half feet.

We have to find the  equations can be used to find the area of the piece of glass.

Area=Length×width

Area=4 feet × 2 and one-half feet

=4×\(2\frac{1}{2}\)

=4×5/2

Hence, Option A and Option D represents the equation of area of rectangular piece which are A=4×\(2\frac{1}{2}\) and A=4×5/2.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

For more such questions on probability, click on:

https://brainly.com/question/7965468

#SPJ8

Answer:

1958

Step-by-step explanation:

Answer:

The answer is C (j' 1,4). It is not B J'(4, 1) because the new coordinate is moving 90 degrees clockwise not 180 degrees.

Step-by-step explanation:

J' will have coordinates (1, 4) after  90° clockwise rotation

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Rectangle JKLM is rotated 90° clockwise about the origin.

On a coordinate plane, rectangle J K L M has points (-4, 1), (-1, 1), (- 1, - 1), (- 4, - 1).

After rotating the rectangle 90° clockwise about the origin, the point J(-4, 1) will be transformed to a new point J' with coordinates (y, -x).

Thus, J' will have coordinates (1, 4).

Therefore,  J' will have coordinates (1, 4) after  90° clockwise rotation

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3