MATHEMATICS COLLEGE

Problem 5.Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?​

Answers

Answer 1
Answer:

Answer:

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

Step-by-step explanation:

He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.

He definitely have to convert the pints to ounces.

1 pint = 16 ounces

Recall he has to dissolve the medicine in 1 pint 4 ounces of water.

Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces  = 20 ounces.

The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces

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Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,869)

Answers

Answer:

y= 1/2 (2)x

Step-by-step explanation:

:D I hope this is right! sorry if its not ; )

Given the equation of a line is5x - 4y = 24
What is the slope of the line?
What is the y-intercept?

Answers

Answer:

the slope of the line is (5)/(4), and the y-intercept occurs at y = -6  (0, -6) on the plane

Step-by-step explanation:

In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):

5\,x-4\,y= 24\n5\,x-24=4\,y\ny=(5)/(4) \,x-(24)/(4) \ny=(5)/(4) \,x-6

Therefore the slope of the line is (5)/(4), and the y-intercept occurs at y = -6  (0, -6) on the plane

Find the critical points, domain endpoints, and local extreme values for the functiony=x^2/5(x+3)

a. What is/are the critical point(s) and domain endpoint(s) where f' is undefined?
b. What is/are the critical point(s) and domain endpoint(s) where f' is 0?
c. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local maxima?
d. From the critical point(s) and domain endpoint(s), what is/are the points corresponding to local minima?

Answers

Answer:

a)x = -3, b)x = 0, x = -6, c)x = 0, d)x = -6

Step-by-step explanation:

a) Let derive the function:

f'(x) = (10\cdot x \cdot (x+3)-5\cdot x^(2))/(25\cdot (x+3)^(2))

f'(x) is undefined when denominator equates to zero. The critical point is:

x = -3

b)f'(x) = 0 when numerator equates to zero. That is:

10\cdot x \cdot (x+3) - 5\cdot x^(2) = 0

10\cdot x^(2)+30\cdot x -5\cdot x^(2) = 0

5\cdot x^(2) + 30\cdot x = 0

5\cdot x \cdot (x+6) = 0

This equation shows two critical points:

x = 0, x = -6

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that x = 0 corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that x = -6 corresponds to a local minimum. (See Attachment)

(2 - (- 2)²)² +5 · ( -4)

Answers

Answer:

-164

Step-by-step explanation:

(2 - (- 2)²)² +5 · ( -4)

(2 + 2²) ² +5 · ( -4)

(2 + 2 + 2)² +5 · ( -4)

6² +5 · ( -4)

6 · 6 + 5 · -4

36 + 5 · -4

41 · -4

-164

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.

Answers

Answer:

1 and 1 on edg 2020

Step-by-step explanation:

just did the assignment

next question : Find the following determinant by hand.

answer is : 1

Next question : In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.

Answer : cos^2x + sin^2x

Next question : Using trigonometric identities, this can be simplified to

Answer : 1

Answer:

continuing with whole assignment, first half is creditied to brainly user above.

Step-by-step explanation:

Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.: 1 and 1

next question : Find the following determinant by hand.

answer is : 1

Next question : In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.

Answer : cos^2x + sin^2x

Next question : Using trigonometric identities, this can be simplified to

Answer : 1

/next question: In the lesson, you used the following matrices to create reflections

Answer: All these reflections resulted in CONGRUENT figures.

next question: Find the determinant of each of these: answer:   - 1

next question: A • At =

 a  b  

c d

 where At is the transform of A. answer: a=1 b=0 c=0 d=1

next question: Repeat this process for the other three matrices. The product of a reflection matrix and its transpose is the identity matrix

Choose the correct choice for the matrix after applying the transformation to the triangle: A

The resulting matrix creates an image that is  to the original triangle.: not similar

Find the determinant of the rotation matrix.

Det R = 1 which matches the determinant for our other translation matricies

Find the product of the matrix and its transpose:  R·Rt  is none of the above

What is the solution of the system of equationsy-x=5 and y=x² +5?
1) (0,5) and (1,6)
2) (0,5) and (-1,0)
3) (2.9) and (-1,4)
4) (-2,9) and (-1.4)

Answers

You can basically just plug in the values. “1) (0,5) and (1,6)” is correct.
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