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simplify 4x+2 - x^2 +x-12 / x-3
a) 3x-2
b)3x+4
c)5x-4
d)5x+4
Answer:
3x-2
Step-by-step explanation:
on edge
The population of trout in a certain pond doubles every year. The current population of the pond is 275 trout.
How much will be left after 105 Days?
A model ship is built to a scale of 1 cm: 4 m. The length of the model is 40 cm. What is the length of the actual ship? a. 160 m c. 40 m b. 50 m d. 15 m Please select the best answer from the choices provided A B C D
What is the value of x?
x=23
x=35
x=58
x=93
What is the area of a sector with a central angle of 10pi/7 radians and a radius of 18.4 m? Enter your answer as a decimal.
PLEASE HELP ME!! 25 points
Anna has a 10-foot long ladder that she is going to rest against a vertical wall along the bottom of a window-sill that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65°. Will the ladder be safe resting on the window sill?
please help with too -->Draw a diagram, and show work to support your answer.
What is the effect on the volume of a rectangular prism if the width is doubled and the hight is reduced to half of the original height?
A) the volume is doubled.
B) the volume is halved.
C) the volume is tripled.
D) the volume is unchanged.
Delia work for 45 minutes on her oil panting she took a brake a 10:35 am what time did delia starting working
Which polynomial is a perfect square trinomial?
A. x^2 +5y + 25
B. x^2 +10y+25
C.x^2+5y+100
D. x^2+10y-25
a poll shows that 76% of voters in a city favor an initiative to increase spending on public schools. if 10 voters are selected at random, wht is the probability that exactly five of them will vote in favor of the initiative?,
Lesson 8: Binomial Distributions
1. a. 91%
2. a. 5.1%
3. c. s^5-25s^4v+250s^3v^2-1250s^2v^3+3125sv^4-3125v^5
4. d. 55.8%
In Emily's physics class, she had to solve the equation 9 = 12at2 + ut for u. Each step of her work is shown below.
Use the drop-down menus to explain each step.
Answer:
[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]
Step-by-step explanation:
we have
[tex]9=\frac{1}{2}at^{2}+ut[/tex]
Solve for u
That means-------> isolate the variable u
step 1
Subtract [tex]\frac{1}{2}at^{2}[/tex] both sides
[tex]9-\frac{1}{2}at^{2}=ut[/tex]
step 2
Divide by [tex]t[/tex] both sides
[tex]u=(9-\frac{1}{2}at^{2})/t[/tex]
In Step 1, Emily subtracts (1/2)at² from both sides to isolate 'u.' In Step 2, she divides both sides by 't' to solve for 'u,' simplification of the equation further.
The equation is 9 = (1/2)at² + ut
Step 1 . 9 - (1/2)at² = ut
In this step, Emily subtracts (1/2)at² from both sides of the equation.
The purpose of this is to isolate the term containing 'u' on the right side of the equation.
Starting with the original equation, Emily recognizes that the term (1/2)at² is added to ut, and she wants to get rid of it from the right side.
To do that, she subtracts (1/2)at² from both sides to keep the equation balanced.
So, she ends up with 9 - (1/2)at² on the left side and ut on the right side.
This is a crucial step because it isolates the term ut, making it easier to solve for 'u' in the next step.
Step 2. [9 - (1/2)at²] / t = u
In this step, Emily divides both sides of the equation by 't' to solve for 'u.' The purpose is to isolate 'u' on the right side of the equation.
Starting with the equation from Step 1 (9 - (1/2)at² = ut), Emily recognizes that she wants to isolate 'u' by itself.
To do that, she divides both sides of the equation by 't.'
This division cancels out 't' on the right side, leaving 'u' alone.
Therefore, simplification of the equation ends up with [9 - (1/2)at²] / t on the left side and 'u' on the right side, this step allows her to find the value of 'u' using the given values of 'a,' 't,' and '9.'
learn more about simplification here
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A research firm conducts a sample survey and discovers that, of all the new watchers of three-dimensional tv, 77% have not reported any side effects such as vertigo, headache, or undue eyestrain compared with watching regular television. if this sample questionnaire had 2,100 respondents, what is the margin of error (me), rounded to the nearest thousandth? hint: me equals plus or minus two times square root of start fraction p hat left parenthesis one minus p hat right parenthesis over n end fraction end square root comma where p hat is the yes proportion in the sample and n is the sample size. me = ±0.009 me = ±0.017 me = ±0.018 me = ±1.837
Refer to Explorations in Literature for a complete version of this passage.
Which quotations from “Here Is New York” develop the author’s viewpoint that commuters do not truly experience New York City?
Select each correct answer.
A "About 400,000 men and women come charging on to the Island each week-day morning, out of the mouths of tubes and tunnels."
B "Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night."
C "The commuter dies with tremendous mileage to his credit, but he is no rover."
D "Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall."
Final answer:
The quotations that develop the author's viewpoint about commuters not truly experiencing New York City are highlighted.
Explanation:
The quotations from “Here Is New York” that develop the author’s viewpoint that commuters do not truly experience New York City are:
“Second, there is the New York of the commuter—the city that is devoured by locusts each day and spat out each night.”
“The commuter dies with tremendous mileage to his credit, but he is no rover.”
“Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the seawall.”
These quotes highlight the idea that commuters only see a limited and narrow part of the city, and they do not take the time to truly explore and experience all that New York has to offer.
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Let f(x) = 5x + 6 and g(x) = -7x - 4.
Find f(x) + g(x)
7 is greater than or equal to w, and - 1 is less than w
Find the area of the trapezoid. Leave your answer in simplest radical form.
What is the value of x in the equation 3x – y = 18, when y = 27?
To find the value of x in the equation 3x - y = 18 when y = 27, substitute 27 for y and solve the resulting equation. The value of x is found to be 15.
The student has asked for the value of x in the equation 3x - y = 18, given that y = 27. To solve for x, we simply substitute 27 for y in the equation and solve for x:
3x - 27 = 18
3x = 18 + 27 (Add 27 to both sides)
3x = 45
x = 45 / 3 (Divide both sides by 3)
x = 15
The value of x is 15 when y = 27.
Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission?
a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace?
A tree on a hillside casts a shadow c = 230 ft down the hill. if the angle of inclination of the hillside is b = 19° to the horizontal and the angle of elevation of the sun is a = 49°, find the height of the tree. (round your answer to the nearest foot.)
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9degree angle. Each of the sides of the lot that face these streets is 150 ft. Long. Find the perimeter of the lot to the nearest foot.
What is the area of this figure?
your boss is impressed with your work and gives you a 3% raise.if the inflation rate is 3% you are
A) making more money in today's dollars
B) making about the same amount in today's dollars
C) making less money in today's dollars
D) seeing no change in your paycheck
Answer: The answer is (B) making about the same amount in today's dollars.
Step-by-step explanation: Given that our boss is impressed with our work and give us a 3% raise.
We are to select the correct statement if there is an inflation of 3%.
Since the raise of 3% and inflation rate of 3% occur simultaneously, so there will not be much change in the amount of money we are making in dollars.
Thus, (B) is the correct option.
..................................................................... 70.6 m × 14 m =
Which polynomial is in standard form
Answer:
Last option is correct.
Step-by-step explanation:
We are given with some polynomials.
We have to tell which one is in standard form of polynomial.
In Standard Form of a polynomial , Terms are arranged in decreasing or descending order of degree of the terms.
Polynomial 1.
1 + 2x - 8x² + 6x³
In this Terms are arranged in Increasing order of degree of terms.
This is not in Standard form.
Polynomial 2.
2x² + 6x³ - 9x + 12
In this polynomial first two terms are arranged in Increasing order of degree while last two arranged in decreasing order of degree.
This is not in Standard form.
Polynomial 3.
6x³ + 5x - 3x² + 2
In this Terms are arranged in jumbled order of degree
This is not in Standard form.
Polynomial 4.
2x³ + 4x² - 7x + 5
In this Terms are arranged in Decreasing order of degree of terms.
This is in Standard form.
Therefore, Last option is correct.
Divide the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(4x^2 - 10x -24) / (2x + 3)
Answer:
2x-8
Step-by-step explanation:
_____a function is the same as moving a function ... im not totally sure
A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point that is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?
Answer:
Option C. 51 in.
Step-by-step explanation:
In the given right angle triangle height is given as 45 in. above the ground.
Length of the board is making an angle of 62°with the ground.
Therefore by sine rule
sin 62° = height / hypotenuse
sin 62° = 45/h
0.8829 = 45/h
h = 45/0.8829 = 50.96 ≈ 51 in.
Therefore option C. 51 in. is the answer.
sales: Ye has his own business he checks sales receipts three times a day One day his afternoon sales were $50 more than his morning sales and his evening sales were three times this afternoon so if his total sales for the day were $1000 what were his evening service