Answers
2) There are a number of ways to decompose the shaded area, or to construct the shaded area. We'll do the latter.
The shaded area is 1/2 of a 4x4 square plus a small triangle below the center of the "butterfly". The latter has a base of 2 and a height of 1, so an area of
.. (1/2)*2*1 = 1
The total area is 4^2/2 +1 = 9 . . . . square units
Related Questions
Which two equations would be most appropriately solved by using the zero product property?
Select EACH correct answer.
Which two equations would be most appropriately solved by using the quadratic formula?
Select EACH correct answer.
Answers
for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions
Answer:
1 - B and C
2 - B and C
Step-by-step explanation:
Ques 1: We know that,
Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.
So, from the options, we see that,
The equation [tex](x-3)(x+4)=0[/tex] can be solved using this property.
Also, the equation [tex]2x^2+6x=0[/tex] can be simplified to [tex]2x(x+3)=0[/tex].
So, this [tex]2x(x+3)=0[/tex] can also be solved by the given property.
Since, the other options cannot be factorized.
Hence, the correct options are B and C.Ques 2: We know that,
The quadratic formula is used to solve find the solution of the quadratic equation of the form [tex]ax^2+bx+c=0[/tex].
So, from the options, we see that,
The equations [tex](x-3)^2=36[/tex] and [tex](x+8)(x+9)=0[/tex] can be solved directly by using the 'Zero Product Property'.
The other equations cannot be solved directly and would be solved using the quadratic formula.
Hence, the correct options are B and C.Given an exponential function for compounding interest, A(x) = P(1.04)x, what is the rate of change?
A. 0.04%
B. 1.04%
C. 104%
D. 4%
Answers
The given expression is
[tex] A(x) = P(1.04)^x [/tex]
Which can also be written as
[tex] A(x) = P(1+0.04)^x [/tex]
And the formula of compound interest is
[tex] A(x) = P(1+r)^x [/tex]
On comparing, we will get rate of change equals to 0.04 or 4 %.
So the correct option is the last option .
I need some help
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Find the probability that the student gets exactly 15 correct answers. Use the normal distribution to aproximate the binomial distribution.
I used BinomCdf(48,.25,15) and get 0.0767 but that isn't one of the choices. The choices are
0.7967
0.0606
0.0823
0.8577,
Answers
The probability that the student gets exactly 15 correct answers is 0.0823
How to determine the probability?The given parameters are:
Sample size, n = 48Correct answers, x = 15Probability of right an answer, p = 0.25 i.e. 1 of 4 options is correctStart by calculating the mean
[tex]\bar x = np[/tex]
[tex]\bar x = 48 * 0.25[/tex]
[tex]\bar x = 12[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{np(1 -p)}[/tex]
[tex]\sigma = \sqrt{12 * (1 -0.25)}[/tex]
[tex]\sigma = 3[/tex]
To get exactly 15,we make use of the range 14.5 to 15.5.
So, we calculate the z scores at these values using:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
This gives
[tex]z = \frac{14.5 - 12}{3} = 0.83[/tex]
[tex]z = \frac{15.5 - 12}{3} = 1.17[/tex]
The probability is then calculated using
P(14.5 < x < 15.5) = p(0.83 < z < 1.17)
This gives
P(14.5 < x < 15.5) = 0.082269
Approximate
P(14.5 < x < 15.5) = 0.0823
Hence, the probability that the student gets exactly 15 correct answers is 0.0823
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Solve 5x + 1 = 2x2 + 9x. Which are steps in the process of completing the square used to solve the equation?
ANSWER CHOICES
1 = 2(x2 + 2x)
1 = 2x2 + 4x
2 = 2(x2 + 2x + 1)
3 = 2(x + 1)2
2 = 2(x + 1)2
Answers
Answer:
Choices (1), (2) and (4)
Step-by-step explanation:
5x + 1 = 2x² + 9x
By subtracting 5x form both the sides of the equation.
(5x + 1) - 5x = 2x² + 9x - 5x
1 = 2x² + 4x
1 = 2(x² + 2x)
By adding 2 on both the sides
1 + 2 = 2(x² + 2x) + 2
1 + 2 = 2(x² + 2x + 1)
3 = 2(x² + 2x + 1)
3 = 2(x + 1)²
Therefore, choices (1), (2) and (4) are the steps that have been used to complete the square.
To solve the equation 5x + 1 = 2x^2 + 9x using the method of completing the square, follow these steps: move all terms to one side of the equation, combine like terms, divide all terms by the coefficient of x^2, take half of the coefficient of x, square it, and add it to both sides of the equation, factor the left side of the equation, take the square root of both sides, and solve for x.
Explanation:To solve the equation 5x + 1 = 2x2 + 9x using the method of completing the square, the following steps are used:
Move all terms to one side of the equation: 2x2 + 9x - 5x - 1 = 0Combine like terms: 2x2 + 4x - 1 = 0Divide all terms by the coefficient of x2: x2 + 2x - 1/2 = 0Take half of the coefficient of x, square it, and add it to both sides of the equation: x2 + 2x + 1 = 1/4Factor the left side of the equation: (x + 1)2 = 1/4Take the square root of both sides: x + 1 = ±1/2Solve for x: x = -1 ± 1/2What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?
Answers
Just need an answer
Answers
Hope this helps!
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
Simplify the expression. See photo. Answer is B.
Cheers,
Izzy
A right angle has an acute angle that measures 42°. what are th measures of the other angles.´?
Answers
Unknown angle = 180 - 90 - 42 = 48°
---------------------------------------------------------------------------------
Answer: The other angle measures 48°
---------------------------------------------------------------------------------
Can someone please help me with this question?! (geometry)
Answers
Answer:
see below
Step-by-step explanation:
The arc length (s) can be found in terms of angle (θ) and radius (r) as ...
s = rθ
Dividing by r gives ...
s/r = θ
Since the angles are the same for the two circles, the ratios of interest are ...
[tex]\dfrac{s_1}{r_1}=\dfrac{s_2}{r_2}=\theta [/tex]
A garage contains a combination of 20 bikes and tricycles. In total, there are 44 wheels. How many bikes and how many tricycles are in the garage.
Answers
The solution explains how to find the number of bikes and tricycles in a garage based on the total number of wheels and the given combination.
Explanation:The question: A garage contains a combination of 20 bikes and tricycles. There are a total of 44 wheels.
Step-by-step solution:
Let's denote the number of bikes as B and the number of tricycles as T.
Each bike has 2 wheels, so the total number of wheels contributed by the bikes is 2B.
Each tricycle has 3 wheels, so the total number of wheels contributed by the tricycles is 3T.
Given that the total number of wheels is 44, we can form the equation: 2B + 3T = 44.
Since there are 20 bikes and tricycles in total, we have the equation: B + T = 20.
Solving the system of equations, we find that there are 12 bikes and 8 tricycles in the garage.
The result of rounding the whole number 72,341 to the nearest hundreds place is:
72,300.
72,000.
70,000.
72,340
Answers
the answer will be 72,300.
Hope it helps
72, 341:
7 is in the ten thousands place
2 is in the thousands place
3 is in the hundreds place
4 is in the tens place
1 is in the ones place
To find the hundreds place, look at the place value to the right of it (or tens place in this case).
In the tens case is a 4, which is less than 5, so you round down
( 5 and greater, round up, 4 and less, round down)
So your answer is 72,300
hope this helps
x y
2, 65
4, 74
6, 81
8, 96
10, 109
@directrix
Identify the equation of the least squares regression line that most
closely matches the data set.
yˆ = 0.17x − 13.2
yˆ = 5.5x + 52
yˆ = 3.5x − 6921.2
yˆ = −2.2x + 13.8
Answers
The closest to this is that equation, you can check it to prove that it is closer than the other options.
Let, yˆ = 5.5x + 52 be the equation
X=2,4,6,8,10
y=?
x1=2
y1=5.5(2) + 52
=63
x2=4
y2=5.5(4) + 52
=74
x3=6
y3=5.5(6) + 52
=85
x4=8
y4=5.5(8) + 52
=96
x5=10
y5=5.5(10) + 52
=107
How do I solve this
Answers
Since the complementary angle adds up to 90 degrees, we would add 55° and (3x + 8)° and set it equal to 90°.
55° + (3x + 8)° = 90°
Now, to find x, we simplify.
63 + 3x = 90
3x = 27
x = 9
So, x is 9 degrees.
Hope this helps!
Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of her shift remaining. Out of the four employees, Who has completed the most work time?
Answers
Jerry completed the most work time.
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;
Sally has completed 1/3 of her shift.
Jerry has completed 5/6 of his shift.
David has finished 1/2 of his shift.
Mona has 7/8 of her shift remaining.
Now,
Since, Mona has 7/8 of her shift remaining.
Hence, The time for Mona = 1 - 7/8
= 1/8
We make all the denominator equal by taking LCM of 3, 6, 2, 8.
Thus, LCM of [3, 6, 2, 8] = 24
Hence, Sally has completed 8/24 of her shift.
Jerry has completed 20/24 of his shift.
David has finished 12/24 of his shift.
Mona has completed 3/24 of his shift.
Clearly, Jerry completed the most work time.
Thus, Jerry completed the most work time.
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The limit as h approaches 0 of (e^(2+h)-e^2)/h = ?
The answer is e^2; please explain how to get that?
Answers
[tex] \lim_{h \to 0} \frac{e^{2} e^{h} - e^{2} }{h} [/tex]
Regroup e² on the numerator:
[tex] \lim_{h \to 0} \frac{ e^{2} (e^{h} - 1) }{h} [/tex]
e² is now a constant that can be brought outside the limit:
[tex] e^{2} \lim_{h \to 0} \frac{ e^{h} - 1}{h} [/tex]
This limit is a notable one, and we know it is equal to 1,
therefore:
e² · 1 = e²
How do you determine if two lines are perpendicular?
Answers
your primary jobs gross income is 3468.73/month deductions are fica (7.65%) federal tax witholding (11.5%) and state tax withholding (7.8%) how much are your ficed expenses if they are 36% of your relized income
Answers
$1,388.65
$814.92
$912.21
$1,068.57
To get your realized income you: add your deductions which equals to a total of 26.95%.
Then you subtract that amount from your gross income.
(3468.72 - 26.95% = 2533.91)
After that you need to find what 36% of your realized income equals to:
and it equals to, 912.20.
Therefore, your answer is C.
Answer 2:
our deductions are 7.65% , 11.5% and 7.8% . Total 26.95% .
So deduct that from your Gross . $3468.73 - 26.95% leaves you with $ 2533.91.
That's your Realized Income . $2533.91 .
So you need to find 36% of that . It's $912.20.
And that is your answer . Your fixed expenses are $ 912.20 .
Answer:
$912.21
Step-by-step explanation:
Your primary jobs gross income = $3468.73
All deductions 7.65% (fica) + 11.5% (federal) + 7.8% (state tax) = 26.95%
Income after deductions = 3468.73 - ( 26.95% × 3468.73 )
= 3468.73 - (0.2695 × 3468.73)
= 3468.73 - 934.82
= $2,533.91
Fixed expenses on your realized income = 36%
Fixed expenses = 36% × 2,533.91
= 0.36 × 2,533.91
= $912.2076 ≈ $912.21
Fixed expenses are $912.21
How to solve for the third side of an isosceles triangle?
Answers
The bar graph shows the z-score results of four employees for two different work weeks.
Which employee had the least earnings for Week 1?
Usan
Percy
Oberto
Michael
Answers
Therefore, you should check the bars in blue for the four employees.
We observe that the smallest z-cores is -0.5.
Therefore, Oberto has the lowest earnings for week 1.
Answer:
Oberto had the least earnings for Week 1
Find sec θ if θ is in Quadrant IV and sinθ=-1/5
Answers
sec θ=1/cosθ
if θ is in Quadrant IV--------------> sec θ is positive, because the cosθ is positive
sinθ=-1/5
sin²θ+cos²θ=1--------------> cos²θ=1-sin²θ-----------> 1-(1/5)²=24/5
cosθ=√(24/5)----> 2√6/√5
secθ=1/cosθ--------> 1/(2√6/√5)---------> √5/(2√6)=√30/12
the answer is secθ=√30/12
Answer:
i got the answer 5(sqrt6)/12
Which graph matches this situation
Answers
We can check this, by taking the mass of the substance and dividing it by 2, the remaining mass of the substance would be 4 mg.
Which operation is NOT closed for polynomials?
A) (x3 + 8x − 5) (x4 + 6x + 2)
B) (x2 + 4x − 5)(8x2 + 3x − 6)
C) (6x2 + 2x − 3) + (x2 − 5x + 4)
D) −(2x2 + 2x − 5) − (x2 + 2x + 9)
Answers
When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.
In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.
Answer:
A
Step-by-step explanation:
You had a typo with A, and I think that is the answer as well, seeing as you typed all of your other answers correct, and none of them were labeled open by the first answerer, despite the typo.
The following polynomials can be factored using the techniques of this lesson. x^2-36
Answers
the correct answer to that question would be true
Answer:
true
Step-by-step explanation:
A P E X
1. The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.
2. How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?
3. How many degrees is the painted spot turning in 0.75 s?
Enter your answer in the box.
4. What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box
5. What is the greatest temperature the substance reached during the experiment?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box.
Answers
Answer: 6
-------------------------
At time 1.5s the height is 0 which is the resting position. The next time the height is 0 is when t = 4.5 which is a difference of 3 seconds (4.5 - 1.5 = 3). Double this to get 3*2 = 6
===============================================
Problem 2
Answer: 1.25
-------------------------
Notice how the period of this graph is 2.5 seconds. It takes 2.5 seconds for the up and down pattern to repeat fully again. The easiest way to see this is from x = 0 to x = 2.5 the down and then up pattern does one full cycle, only to repeat again from x = 2.5 to x = 5, and so on.
Half of this cycle is the length of time it takes for the particle to go from the peak to the valley, or vice versa. Half of 2.5 is 1.25 (2.5/2 = 1.25). Why is it half? Because a full cycle takes place from one valley to the next neighboring valley. The same happens with the peaks as well.
===============================================
Problem 3
Answer: 180 degrees
-------------------------
A full cycle takes 1.5 seconds, which consists of the wheel rotating 360 degrees (a full revolution)
Half a cycle is 1.5/2 = 0.75 seconds which is half a revolution 360/2 = 180 degrees
===============================================
Problem 4
Answer: 61
-------------------------
We plug in x = 2 since x = 0 corresponds to january, x = 1 corresponds to february, and so on
f(x) = 12.2*cos(pi*x/6) + 54.9
f(2) = 12.2*cos(pi*2/6) + 54.9
f(2) = 12.2*cos(3.14*2/6) + 54.9
f(2) = 12.2*cos(3.14/3) + 54.9
f(2) = 12.2*cos(1.04666666666667) + 54.9
f(2) = 12.2*0.5004596890082 + 54.9
f(2) = 6.10560820590003 + 54.9
f(2) = 61.0056082059
f(2) = 61
===============================================
Problem 5
Answer: 38.9
-------------------------
The smallest cos(x) can be is -1. It doesn't matter if its cos(x) or cos(2x) or whatever the argument is. Therefore f(x) maxes out at f(x) = -7.5*(-1)+31.4 = 38.9
NEED HELP ASAP!!!
What is the value of x?
/Users/mikaylee/Desktop/8104613-NG_IMC_SemB_09_UT_01.png
Answers
Hey !!
Check the attachment.
Hope it helps you :)
There are a total of 18 chairs. If the ratio of the red chairs tobrown chairs is 2 to 4, how many of them are red?
Answers
Answer:Of the 18 chairs, 6 are red
Step-by-step explanation:
Given total no of chairs =18
Ratio of red chairs to brown chairs =2:4=[tex]\frac{2}{4}[/tex]
So there are 6(2+4) parts chair out of which 2 are red and 4 are brown
∴ 6 part equals 18 chairs
1 part equals [tex]\frac{18}{6}[/tex]
=3 chairs
Now 2 part equals 2×3=6
i.e. there are 6 red chairs
The cost of removing x percent of pollutants is expressed by the function , where C is in thousands of dollars. Which conclusion can be derived from this statement?
a)The cost of removing 40 percent of the pollutants is $120,000.
b)The cost of removing 80 percent of the pollutants is $960,000.
c)The vertical asymptote lies at x = 0.
d)The vertical asymptote lies at x = 240.
Answers
For which of the following displays of data is it not possible to find the mean?(Expert and Ace only please)
frequency table
line plot
stem-and-leaf plot
histogram
Answers
Answer:
The histogram
Step-by-step explanation:
It is difficult to find mean of a histogram
What is Histogram ?It is a chart that help in visualize the distribution of values in a dataset.
It is difficult to find mean just by looking at the data of the histogram
Hence , d) Histogram is the answer
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what is the range of y=3cosx-1?
a) -4 ≤ x ≤ 4
b) -4 ≤ x ≤ 2
c) -3 ≤ x ≤ 3
d) -2 ≤ x ≤ 0
Answers
[tex]y = 3cosx-1 [/tex]
We must find the maximum and minimum values of the equation to find the range.
We have then:
For x = 0
[tex]y = 3cos (0) -1 y = 3 (1) -1 y = 3-1 y = 2[/tex]
For x = pi
[tex]y = 3cos ( \pi ) -1 y = 3 (-1) -1 y = -3-1 y = -4[/tex]
The range of the function is given by:
[-4, 2]
Equivalently,
-4 ≤ x ≤ 2
Answer:
b) -4 ≤ x ≤ 2
Answer: The correct option is (b) [tex]-4\leq y\leq 2.[/tex]
Step-by-step explanation: We are given to select the correct range of the following function
[tex]y=3\cos x-1.[/tex]
We know that the range of the cosine function is from - 1 to 1.
That is,
[tex]-1\leq \cos x\leq 1\\\\\Rightarrow -(1)\times 3\leq 3\times \cos x\leq 3\times 1\\\\\Rightarrow -3\leq 3\cos x\leq 3\\\\\Rightarrow -3-1\leq 3\cos x-1\leq 3-1\\\\\Rightarrow -4\leq 3\cos x-1\leq 2\\\\\Rightarrow -4\leq y\leq 2.[/tex]
Thus, the range of the given function is [tex]-4\leq y\leq 2.[/tex]
Option (b) is CORRECT.
HELP PLEASE!!
Which is greater, the total volume of three spheres, each of which has a diameter 3 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 9 in.?
a) The volume of three spheres, each with a diameter of 3 inches, is greater.
b) The volume of one sphere with a diameter of 8 inches is greater.
c) The volume of the hemisphere with a diameter of 9 in. is greater.
d) The two volumes are the same.,
Answers
Answer:
Step-by-step explanation:
Answer:
Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.
1. find the SA of a grape fruit with a c of 14cm.
62 cm^2
2. a sphere has a volume of 900 ci. find SA
451
3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere
391.7
4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube
102.9
5. find the v in terms of pi of a sphere with a SA of 9 pi square feet
9/2 pi ft^3
6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in
the v of 1 sphere with a diameter of 8 in is greatest
7. a sphere has center 0 0 0 and a radius of 5
0 -3 4
8. find v of figure the diameter of the base is 4 cm
46/3 pi cm^3
9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere
6 pi
10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between
69 square inches
Step-by-step explanation: