how do i solve this???
y=5x+7 x=8

There are 2,646 different ways to form the committee with 5 teachers and 5 students.

There are 7 teachers to choose from, and we need to select 5 of them. This can be done in C(7,5) ways:

C(7,5) = 7! / (5!2!) = 76 / 21 = 21

There are 9 students to choose from, and we need to select 5 of them. This can be done in C(9,5) ways:

C(9,5) = 9! / (5!4!) = 9876 / 4321 = 126

To find the total number of ways to form the committee, we multiply the number of ways to select 5 teachers by the number of ways to select 5 students:

21 × 126 = 2,646

Therefore, there are 2,646 different ways to form the committee with 5 teachers and 5 students.

To learn more on Combinations click:

https://brainly.com/question/19692242

#SPJ1

Answer:

incomplete question

Step-by-step explanation:

The answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

To simplify a fraction written in index form, you can first express the numbers in prime factorization form by writing both the numerator and denominator as a product of prime factors. Identify common prime factors in the numerator and denominator and cancel them out. Then write the remaining factors as a product in index form.

Given the fraction 4⁹/4³, we can simplify as follows:

4⁹/4³ = (4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4)/(4 × 4 × 4)

we can cancel out (4 × 4 × 4) from both the numerator and denominator, living us with;

4⁹/4³ = 4 × 4 × 4 × 4 × 4 × 4

4⁹/4³ = 4⁶

Therefore, the answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

Read more about index here:https://brainly.com/question/15361818

#SPJ1

The largest value is 6, and the smallest value is 1. The range is 5.

a. The range is the difference between the largest and smallest values in the data set. To find the range of the given data set, we need to first order the data set from smallest to largest:

1 2 3 4 4 5 5 6

The largest value is 6, and the smallest value is 1. Therefore, the range is:

range = largest value - smallest value = 6 - 1 = 5

b. The variance is a measure of how spread out the data is from the mean. To calculate the variance of the given data set, we first need to find the mean:

mean = (5 + 1 + 2 + 6 + 4 + 4 + 3 + 5)/8 = 30/8 = 3.75

Then, we can use the formula for variance:

variance = (sum of the squared differences from the mean)/(number of data points - 1)

= [(5 - 3.75)^2 + (1 - 3.75)^2 + (2 - 3.75)^2 + (6 - 3.75)^2 + (4 - 3.75)^2 + (4 - 3.75)^2 + (3 - 3.75)^2 + (5 - 3.75)^2]/(8 - 1)

= 5.18

c. The standard deviation is the square root of the variance. Therefore, the standard deviation of the given data set is:

standard deviation = sqrt(variance) = sqrt(5.18) = 2.28

Learn more about range here

https://brainly.com/question/24326172

#SPJ11

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

N is the midpoint of line segment JL

Step-by-step explanation:

I just took the test, and that's the only correct answer even though it is asking for two answers

To find the LCM:

1. List the multiples of each number:

Multiples of 14:

Multiples of 28:

2. The LCM is the smallest number that appears in the two lists above.

A scatter plot would be the best choice to indicate whether there was a negative relationship between stock and bond returns.

A scatter plot is a type of graph used to display the relationship between two variables. It is also known as a scatter chart or scattergram. The graph consists of a series of points, each representing a single observation or measurement of two variables. The position of each point is determined by its values on the two variables. In a scatter plot, one variable is plotted on the x-axis and the other variable is plotted on the y-axis.

This type of graph would show the relationship between two variables, in this case stock and bond returns, on a single graph. It would provide a visual representation of any negative or positive correlation between the two variables.

Learn more about scatter plot, by the following link.

https://brainly.com/question/6592115

#SPJ4

Answer:

x=3

Step-by-step explanation:

1st distribute

8x-6-8=4+2x

2nd add

8x-14=4+2x

3rd move like terms

8x-2x=4+14

4th add the numbers

6x=18

5th divide both sides by 6

6x/6=18/6

x=3

Answer:

sin(x) = 12/13

Step-by-step explanation:

cos^(-1)(5/13) = 0.176

tan^(-1)(12/5) = 0.176

sin(0.176 radians) = 12/13

BD is the Perpendicular bisector of AC.

To complete the flowchart proof, we have to prove that BD is the perpendicular bisector of AC. Here's the proof:

Given D is the midpoint of Line AC and Line AC ⊥ BD, we need to prove that BD is the perpendicular bisector of AC.

1. Draw a diagram of the given situation. Let D be the midpoint of Line AC and Line AC ⊥ BD.

2. Draw Line BD.

3. Since AC is perpendicular to BD, angle ABD and angle CBD are right angles.

4. Since D is the midpoint of AC, AD = DC.

5. Since angle ABD and angle CBD are right angles, triangle ABD and triangle CBD are both right triangles.

6. By the Pythagorean Theorem, AB² + BD² = AD² and BC² + BD² = CD².

7. Since AD = DC, then AD² = DC². Therefore, AB² + BD² = BC² + BD².

8. Subtracting BD² from both sides of the equation, we get AB² = BC².

9. Therefore, triangle ABC is an isosceles triangle, since AB = BC.

10. Since triangle ABC is isosceles, then angle ABD and angle CBD are congruent.

11. Since angle ABD and angle CBD are congruent, then BD is the perpendicular bisector of AC.

Hence, BD is the perpendicular bisector of AC.

For more questions on Perpendicular .

https://brainly.com/question/28063031

#SPJ8

Answer:

Step-by-step explanation:

We have similar triangles:

The reason is:

The slope is:

According to the ΔRST the slope is:

Find the length of XY, using the ratio of corresponding sides:

Answer:

D. 360 cubic cm.

Step-by-step explanation:

The volume = l * w * h

= 12 * 6 * 5

360 cu cm.

The  volume of the rectangular prism is  360 cubic cm

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Characteristics of a rectangular prism

Volume = length x width x height

12 x 6 x 5 =  360 cubic cm

A similar question was solved here: https://brainly.com/question/12449923?referrer=searchResults

The length of the major axis of the ellipse x² + 16y² - 96y + 128 = 0 will be 8 units.

Given that:

Equation, x² + 16y² - 96y + 128 = 0

It is taken from the cone by cutting it at an angle.

Convert the equation into standard form, then we have

x² + 16y² - 96y + 128 + 16 = 16

x² + 16(y² - 6y + 9) = 16

x²/16 + (y - 3)²/1 = 1

The length of the major axis of the ellipse x² + 16y² - 96y + 128 = 0 will be given as,

⇒ 16 / 2

⇒ 8

More about the ellipse link is given below.

https://brainly.com/question/19507943

#SPJ1

Answer:

10

Step-by-step explanation:

Your scale factor is 3/2, because when you compare AC and DF, the ration is 18/12, or 3/2. We can set up a proportion:

3/2=15/x

We cross multiplu

3x=30

x=10

So, the length of DE is 10 units.

Hope this helps!

Answer: 10

Step-by-step explanation:

4 to 20 which is times by 5 so 2 times by 5 is 10

a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

learn more about set from

https://brainly.com/question/28365114

#SPJ1

Answer:

The answer is A on edge

Step-by-step explanation:

Just took test

Answer:

a

Step-by-step explanation:

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Answer:

y = 3/8x + 1/8

Step-by-step explanation:

The slope of a perpendicular line is the opposite and reciprocal of the original slope.

-8/3 -> 3/8

Find the new y-intercept.

y = 3/8x + b

2 = 3/8(5) + b

2 = 1.875 + b

0.125 = b

y = 3/8x + 1/8

Best of Luck!

This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.

Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.

Since the value of 'x' is '1', the code will print '1' as the output.

In summary, the code will print the value of the variable 'x', which is '1'.

Learn more about variables:

https://brainly.com/question/28248724

#SPJ11

Answer:

604

Step-by-step explanation:

I did the math

Answer:

Step-by-step explanation:

B

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

Learn more about partially filled array here:

https://brainly.com/question/6952886

#SPJ4