Simplify 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n

Answers

Answer 1

The actual answer is 5.5n-0.5p-4

Answer 2

Final answer:

The simplified expression of 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n is -2 + 5.5n - 0.5p after combining like terms.

Explanation:

To simplify the algebraic expression 1 + 4.25n + 3/2p - 3 + (-2p) +5/4n, we need to combine like terms. The constants 1 and -3 can be combined, and the terms with 'n' and 'p' can each be combined respectively. Let's do this step by step:

Combine the constants: 1 - 3 = -2.Combine the 'n' terms: 4.25n + 5/4n = (17/4)n + (5/4)n = (22/4)n = 5.5n.Combine the 'p' terms: (3/2)p + (-2p) = (1.5 - 2)p = -0.5p.

The simplified expression is -2 + 5.5n - 0.5p.

Related Questions

FULL ANSWERS WITH EVERY STEP PLEASE (10 pts)

for the functions f(x)=3x-6\sqrt(x)+6, and g(x)=7x-12-(4)/(x) find
1- where (f*g)(x) is differentiable
2- where ((f)/(g))(x) differentiable

Answers

Part One
=======
(f(g))x = 3(7x - 12 + 4/x) - 6sqrt(7x - 12 + 4/x ) + 6 Here I have put g(x) into f(x)
Now you want to differentiate this thing. As much as you can remove the brackets.
21x - 36 + 12/x - 6*sqrt(7x - 12 + 4/x) + 6
Now differentiate.
f(g(x))' = 12 - 12/x^2 + 6 (7 - 4/x^2) / sqrt (7x - 12 + 4/x)

How come there is now a plus in front of the 6?

Part Two
=======
I can find no interpretation for the second part other than the obvious. It's been 57 years since I was in a classroom as a student, and any special interpretation to these questions was not discussed.
I take it to mean F(x) / G(x) and then differentiated. If that is not correct, then someone else will have to answer for you. Sorry.

So the question will look like this.
y = [3x - 6(x)^(1/2) + 6] / [7x - 12 - 4/x]
The quotient rule for f(x)/g(x) = [f ' * g - f * g' ] / g^2
So you need to differentiate f to f ' and g to g'

f ' = 2 + 6/2(x ^ (-1/2 ))

g' = 7 + 4/x^2

Now you can put them in for f and g and f ' and g' to get the answer. It's a lot of typing. Be careful how you put this in. Correct any typos before you send it.

The domain in any question is any value for x except x = 0

In a recent year 36% of all college students were enrolled part time. If 6.2 million college students were enrolled part time that year what was the total number of college students. Round to the nearest million

Answers

If 36% equals 6,200,000, then
1% equals 6,200,000/36, and
100% equals 6,200,000/36*100 = 16,315,789

Hence, there were about 16,000,000 (sixteen million) students.

Final answer:

To find the total number of college students, we solve a proportion equation using the given 36% for part-time students and 6.2 million part-time students to find a total of approximately 17 million students.

Explanation:

This problem can be addressed with a simple proportion equation. We know that 36% (or 0.36 in decimal form) of all enrolled college students equals 6.2 million. So, if we let X be the total number of college students, the equation becomes 0.36X = 6.2 million.

To solve for X, we divide both sides of the equation by 0.36 and hence, X=6.2 million / 0.36. After doing the calculation, we get approximately 17.22 million. Since the question asks us to round to the nearest million, our final answer is approximately 17 million total college students.

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Find the Value of X.
3
8
4
6

Answers

X = 4. The difference between the small and large sides on the left side is 1. (6-5=1).
You should take that difference and compare If to the size of the wheel left side, 6.

The difference should be equivalent for the other sides as well.
1:6 2:?

1:1 =2:12

2x+ 4 = 12
2x = 8
X=4

PLEASE HELP ME ON THIS

Answers

The answer is choice D. The work shown below shows why this is the case.

[tex]\sqrt[5]{224x^{11}y^8} = \sqrt[5]{32*7*x^5*x^5*x*y^5*y^3}[/tex]

[tex]\sqrt[5]{224x^{11}y^8} = \sqrt[5]{32}*\sqrt[5]{7}*\sqrt[5]{x^5}*\sqrt[5]{x^5}*\sqrt[5]{x}*\sqrt[5]{y^5}*\sqrt[5]{y^3}[/tex]

[tex]\sqrt[5]{224x^{11}y^8} = 2*\sqrt[5]{7}*x*x*\sqrt[5]{x}*y*\sqrt[5]{y^3}[/tex]

[tex]\sqrt[5]{224x^{11}y^8} = 2x^2y*\sqrt[5]{7xy^3}[/tex]

Answer: Fourth option. Please see the attached file.
Thanks.

3. Which of the following is a solution to the equation 16= 4x-4?
a.-5
b.-4
c.5
d.16

please help. I'll give a medal + fan I wanna know how

Answers

we can write the equation in this way also:
4x-4=16

taking (-4) to opposite side,
since it has (-) sign , it becomes (+) when we take it to the opposite side
now the equation becomes
4x=16+4
i.e.
4x=20
now, we take 4 to the opposite side
the equation becomes
x=20/4
i.e. x=5
  so the answer is
c.5

use the formula a=h/n to find the batting average a of a batter who has h hits in n times at bat.Solve the formula for h. if a batter has a batting average of .290 and has at bat 300 times, how many hits does the batter have?,

Answers

Part 1: Solving for h:
The formula given is:
a = [tex] \frac{h}{n} [/tex]

To solve for h, we need to isolate the h on one side of the equation.
This can be done as follows:
a = [tex] \frac{h}{n} [/tex]

Multiply both sides by n:
an = [tex] \frac{h}{n} [/tex] * n
h = a*n

Part 2: getting the value of h:
We are given that:
The average (a) = 0.290
n = 300 times

Substitute with the givens in the equation we got in part (1) to get the value of h as follows:
h = a * n
h = 0.290 * 300
h = 87 hits

Hope this helps :)

How many lines intersect at point O?

4

2

1

3

Answers

2 lines intersect at point O

2 lines can intersect at point O

The area of a right triangle is 336 square centimeters. The base of the right triangle is 48 centimeters. What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

Answers

[tex] Area of Triangle = \frac{1}{2} bh [/tex]
[tex]336 = \frac{1}{2} 48h [/tex]
[tex]336 = 24h [/tex]
[tex] \frac{336}{24} = h [/tex]
[tex] 14 = h [/tex]
Then using Pythagorean theorem
[tex] b^{2} + h^{2} = Hyp^{2} --> 48^{2} + 14^{2} = hyp^{2} [/tex]
[tex] hyp = \sqrt{2304 + 196} = 50 cm [/tex]

Answer:

Step-by-step explanation:

First we have to find the height. Since we know the area we can use it to find the height. The area of a triangle is A=bh1/2 or half of the base times the height. So if we plug in what we know and solve, we can find the height. 336=48 x h x 1/2. The height is 14. Now we can solve for the hypotenuse using the Pythagorean Theorem. a^2 + b^2 = c^2 plug in what we know... 14^2 + 48^2 = c^2 simplify to get 196+2304= c^2 and further 2500= c^2 so find the square root of 2500. You will get 50.

How to solve this???

Answers

11. Opposite angles of a cyclic quadrilateral are supplementary. You have two angles in the ratio of 2:4 that add to 180°. The larger angle will be 4/(2+4) = 4/6 of 180°, so is 120°.

The side of a square is 12 feet. What is the area of the square?
a.12 sq. ft.
b.24 sq. ft.
c.48 sq. ft.
d.144 sq. ft.

Answers

Area of the square = Length x Length

Area of the square = 12 x 12
Area of the square = 144 sq ft (Answer D)

---TF---

M is the midpoint of PQ, N is the midpoint of MQ, and L is the midpoint of MN. If MN =14, find ML.

Answers

I believe the answer is 7. I hope this helps you!

Please mark Brainliest! Lemme know if I can help you with anything else!

-Belle

P---M<---6-->L<--6--->N---Q

Distance LN = 6

Distance MQ = 6 X 2

=12 (Remember N is the midpoint of MQ)

Distance MQ = Distance PM = 12units

Hope this helps.

HELPPPPPPPP AND EXPLAIN

Answers

the so-called "zeros" or "solutions" or "roots", are really just the x-intercepts, namely, where the graph touches or "intercepts" the x-axis, look at the graph, goes down and up and down again and up again, and hits the x-axis several times.

29)

what is "c", namely one of those x-values where it touches? look at the graph, it hits at 0.5, 1, 2, 3, pick your poison.

30)

how many? well, you already know.

Trig question how do I find m

Answers

Angle E = the arc tangent (4 / 8)
Angle E = 26.565 Degrees

Perform the indicated operation. (2x + y)(3x^2 + y)

Answers

Answer:

[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]

Step-by-step explanation:

The given expression is [tex](2x+y)(3x^2+y)[/tex].

We expand the parenthesis using the distributive property to obtain;

[tex](2x+y)(3x^2+y)=2x(3x^2+y)+y(3x^2+y)[/tex]

We expand further to get;

[tex](2x+y)(3x^2+y)=6x^3+2xy+3x^2y+y^2)[/tex]

This gives us;

[tex](2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)[/tex]

⭐️ Anyone know how to work this?...

Answers

4 + 16 + 36 + 64
so its 120

Instead of focusing on the absence of mental illness as an indication of mental health, Abraham Maslow and CarlRogers would focus more on____________ (1 point),

Answers

Abraham Maslow and Carl Rogers would focus on the individual's coming to understand his or her self. Both studied effects of societal influences with the idea that individuals had free will.

If your choices are the following:
satisfying basic physiological needs
creating pyramidal charts
outcome and behavior
the full realization of an individual's self

Then the answer is the last option.
Abraham Maslow and CarlRogers would focus more on the full realization of an individual's self.

Tanya wants to find the height of the tree. She walks away from the base of the tree so the tip of her shadow coincides with the tip of the tree's shadow at point C. BE is two and a half times EC. Tanya is 5 feet, 3 inches tall. How tall is the tree in feet?

Answers

Answer
18 feet and 4.5 inches

Explanation
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.

Take a look at the figure. What are the coordinates of the point labeled B in the graph shown?

A. (3, 2)
B. (–3, 2)
C. (–2, 3)
D. (–2, –3)

Answers

The answer to this is D. (-2, -3).

The answer is d. This is an easy question.

What happens to the maximum point of f(x) = -2x2 + 3x + 1, when the function is changed to f(x) = -2x2 + 9x + 1?

A) it shifts up and left
B) it shifts up and right
C) it shifts down and left
D) it shifts down and right

Answers

Hello,

One way to do this problem, is to identify the vertex. Since it is a parabola that opens downward, the maximum point is the vertex.

Using the expression: -b/2a, you can find the x-coordinate for the vertex.
Then, input that value into the function to find the y-coordinate for the vertex.

For the first equation, you will get (0.75, 2.125) for the vertex.
For the second equation, you will get (2.25, 11.125) for the vertex.

By comparing these points, you see that the vertex shifts up and to the right.
Option B is correct.

I hope this helps, Good luck!

Answer: B

Step-by-step explanation: I did the usa test prep

6 grade course 1 countdown 8 and 7 weeks

Answers

Part A - 80 /5 = n
Part B - 16
2. Box number 1 and 2
3. I am not sure.

What is 4.738rounded to the nearest thousandth? (Points : 1) 4.73 4.74 4.738 4.739

Answers

4.738 rounded to the nearest thousandth remains 4.738, as it is already at the required decimal precision.

To round to the nearest thousandth, you look at the digit in the thousandth place, which in this case is an 8. You do not need to alter the number since it is already at the thousandth decimal place. Therefore, 4.738 rounded to the nearest thousandth is simply 4.738.

Scoring a hole-in-one is the greatest shot a golfer can make. once 7 professional golfers each made holes-in-one on the 8th hole at the same golf course at the same tournament. it has been found that the estimated probability of making a hole-in-one is 12287for male professionals. suppose that a sample of 7 professional male golfers is randomly selected. what is the probability that they all score a hole in one

Answers

0.00056970782 is the probability all you need to do is divide the likelihood of it by the actual possible amount of outcomes

A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height of the cylinder?
A) 3 cm
B) 6 cm
C) 9 cm
D) 12 cm

Answers

Answer:

The correct option is C. The height of the cylinder is 9 cm.

Step-by-step explanation:

The radius of cone is 12 cm and the height of cone is 12 cm.

The volume of cone is

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]V_1=\frac{1}{3}\pi (12)^2(12)[/tex]

[tex]V_1=576\pi[/tex]

The radius of cylinder is 8 cm. The volume of cylinder is

[tex]V=\pi r^2h[/tex]

[tex]V_2=\pi (8)^2h[/tex]

[tex]V_2=64\pi h[/tex]

It is given that the volume of cone and cylinder is same.

[tex]V_1=V_2[/tex]

[tex]576\pi=64\pi h[/tex]

[tex]\frac{576\pi}{64\pi}=h[/tex]

[tex]9=h[/tex]

Therefore the height of the cylinder is 9 cm and option C is correct.

Final answer:

To find the height of the cylinder that has the same volume as a cone, we can compare their volumes. By setting the volumes equal to each other and simplifying the equation, we find that the height of the cylinder is 9 cm.

Explanation:

To find the height of the cylinder, we need to compare the volumes of the cone and the cylinder. The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height. The volume of the cone with radius 12 cm and height 12 cm is (1/3)π(12^2)(12) = 576π cm³. Now, let's calculate the volume of the cylinder using the formula V = πr^2h, with radius 8 cm. We know that the volumes of the cone and the cylinder are equal, so 576π = π(8^2)h. Simplifying this equation, we get 576π = 64πh. Dividing both sides of the equation by 64π, we find h = 9 cm. Therefore, the height of the cylinder is 9 cm.

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64,55,46,37,28,19 find the math patter what goes next

Answers

Hi there!

From one number to the next, the number decreases by 9.
10 goes next, since 19 - 9 = 10

Hope This Helps!

What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9

Answers

m = (y2 - y1) / (x2 - x1)
Call (3,-4) one point
Call (-2,5) the second point.

m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5

B<<<< answer

2. A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone. The cylinder has a diameter of 12 inches and a height of 14 inches. The cone has a height of 6 inches. What is the volume of the cake? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.

Answers

1808.64

Hope this helped!

Hello :)

the answer is 1808.64

Hope i helped <33

A radius is a0 the diameter

Answers

half

you write half in the blank

Answer:

Hence, A radius is half the diameter.

Step-by-step explanation:

The question is asked as:

A radius is [tex]a_0[/tex] the diameter.

i.e. what is the value of the constant [tex]a_0[/tex] such that the radius and the diameter are related to each other.

We know that:

The Radius is the length of the line through the center that touches a point on the edge of the circle.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Hence Radius is half the diameter.

so the value of [tex]a_0=\dfrac{1}{2}[/tex]

( Or we can say Diameter is twice the radius of the circle.

[tex]d=2r\\\\r=\dfrac{1}{2}d[/tex]

where d denotes the diameter of the circle and r denotes the radius of the circle ).

F + H ARE WRONG

HELP ME JIM!

Answers

Reason F should be "CPCTC" which stands for "corresponding parts of congruent triangles are congruent". Its like saying "if two houses are identical, then the front doors should be the same". The houses in the analogy are the triangles, while the front doors are the corresponding parts. So if triangle DEC is congruent to triangle BEC, then the corresponding parts angle DEC and angle BEC are congruent.

===========================================

Reason H is "linear pair postulate" which says that if two angles form a linear pair then they are considered supplementary. This is simply what "supplementary" means. The two angles add to 180 degrees. A "linear pair" is where you have two angles that are adjacent and the angles combine to form a straight angle (180 degrees).

===========================================

Side note: It seems like some of this proof has been cut off. There should be more lines to this proof because the last line is always what you want to prove. In this case, the thing we want to prove is "angle DEC and angle BEC are right angles" so that should be the last statement.

Kim had 160 cards in a box.She gave 4/10 of the cards to maddy.How many cards did Kim have left in the box

Answers

[tex]\text {Total cards = 160}[/tex]

[tex]\text {Cards gave to Maddy = } \dfrac{4}{10} \times 160 = 64 [/tex]

[tex]\text {Cards left = } 160 - 64 = 96 [/tex]

------------------------------------
Answer: Cards left = 96
------------------------------------

A ship is 2.8 degree off course .If the ship is traveling at 14.0 miles per hour,how far off course will it be after 2 hours?

Answers

During the two hours, the ship will have traveled 28 miles off course. The sin of the off course angle, 2.8, multiplied by 28 will give the answer: 1.37 miles.

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