Question in the picture

Answer: 24 schedules.

Step-by-step explanation:

Given data:

Courses planning to take = 4

Computer courses = 2

Courses from other areas = 2

Solution:

This problem can be solved using permutation.

For Computer science courses.

npr = n! / ( n - r )!

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

For other courses.

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

Jane can have a total of 24 different schedules.

Answer:

0.449

Step-by-step explanation:

one hundreth is this 0.100 so if u take that away from 0.549 u get 449

Answer:

(f + g)(x) = |3x + 5| + 13

Step-by-step explanation:

Given

f(x) = |3x + 5| + 6

g(x) = 7

Required

Find (f + g)(x)

In functions

(f + g)(x) = f(x) + g(x)

Meaning that, we simply add the given functions together

So, we have that:

(f + g)(x) = |3x + 5| + 6 + 7

(f + g)(x) = |3x + 5| + 13

Hence, (f + g)(x) when calculated equals |3x + 5| + 13

Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation:

Answer:

5.35$ worth

Step-by-step explanation:

9514 1404 393

Answer:

  y > 0

Step-by-step explanation:

The range of the function ...

  y = e^(4x)

is the same as the range of any exponential function:

  y > 0

The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.

The range of the given function is y > 0.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

y = e⁴ˣ

This is an exponential function.

The range of any exponential function is all the real numbers which are greater than 0.

So here also, the range is all the real numbers which are greater than 0.

So range is y > 0.

Hence the correct option is B.

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Answer: 1/10

Step-by-step explanation:

I think you mean 3/5 - 1/2?

we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.

Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.

6/10 - 5/10 = 1/10

can you give brainliest

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

Answer:

make a proportion:

                        90% - 76.50$

original price is 100% - x$

x=76.50$*100%/90%=85$

Answer: original price is 85$

Step-by-step explanation:

Answer:

1681

Step-by-step explanation:

In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.

Therefore, the answer is 1681 because 1681=41*41 and

16=4*4 and 81=9*9

Answer:

$26.25

Step-by-step explanation:

1.25 per day

21 days

1.25 × 21 = 26.25

Answer:

23 degrees

Step-by-step explanation:

157+b=180

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

Answer:

Where cgym is the cost after m months. To find when the cost is equal, equate the right side of both equations and solve for m :.

Answer:

13 months because 13 x 20 is 260 plus the sign-up fee is 300$ all together

Step-by-step explanation:

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

Answer:

On this day, 1/2, or 50%, of the crew was present.

Step-by-step explanation:

Simplify: 18/36 = 1/2

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Answer:

y intersect is -4 and x intersect is between 6 and 7...

Step-by-step explanation:

Answer:

18 gallons of paint could paint 10 classrooms.

Step-by-step explanation:

Given that the school bought 18 gallons of paint, and that each classroom requires 1 4/5 of paint to be painted, to determine how many classrooms can be painted with that amount of paint, the following calculation must be performed:

4/5 = 0.8

1 + 0.8 = 1.8

18 / 1.8 = 10

Therefore, 18 gallons of paint could paint 10 classrooms.

Answer: Each friend will get 2 packs of Pokemon cards.

Answer:

2.33333333333

Step-by-step explanation:

7÷3=2.33333333333

Answer:

16 feet and 7 inches

Step-by-step explanation:

To find how tall the bamboo is now, first add the number of feet together:

10 + 5

= 15

Then, add the inches:

7 + 12

= 19

This can be converted to 1 foot and 7 inches.

Then, add 15 to this:

= 16 feet and 7 inches

So, the bamboo is now 16 feet and 7 inches tall

The current height of the bamboo is given as 16 feet 7 inches tall.

Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height  = 10.7 + 6 = 16.7 or 16 ft 7 in

Thus, the current height of the bamboo is given as 16 feet 7 inches tall.

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Answer:

The correct option is 'No Solution'.

Step-by-step explanation:

Given the system of the equations

[tex]y=\frac{1}{2}x-1[/tex]

[tex]2x-4y=12[/tex]

solving the system of the equations

[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]

[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]

[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]

[tex]2x-2x+4=12[/tex]

[tex]4=12[/tex]

as

4=12 is false, therefore the system of equations has no solution.

Therefore, the correct option is 'No Solution'.

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF)

The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

Here,

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.

Here's the step-by-step process to find the GCF of 16 and 100:

Step 1: List the factors of each number.

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Prime factorization of 16:

16 = 2 * 2 * 2 * 2

Prime factorization of 100:

100 = 2 * 2 * 5 * 5

Step 2: Identify the common factors.

The common factors of 16 and 100 are 1, 2, 4.

Step 3: Find the greatest common factor.

Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.

So, the GCF of 16 and 100 is 4.

In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

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a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

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Answer:

30.7

Step-by-step explanation: