Answers
Answer:
Option A i the right option.
First blank is 110-[tex]10\sqrt{61}[/tex] or 10(11-[tex]\sqrt{61}[/tex])
Second blank is 31.898
Let me know if anything didn't make sense.
Step-by-step explanation:
So a diagonal through a rectangle makes two triangles. The question wants to know how much walking is saved walking down the diagonal vs walking along two sides that make the diagonal. in this case the two non diagonal sides walked are 60 paces and 50 paces.
A diagonal through a rectangle specifically makes a right triangle, so to find the diagonal we can use the pythagorean theorem.
c^2 = 60^2 + 50^2
c = [tex]\sqrt{60^2 + 50^2}[/tex]
c = [tex]\sqrt{6100} = 10\sqrt{61}[/tex]
if you don't get how to simplify a radical like that let me know.
Anyway, looking at the answers you can see right away the second option says no approximation is necessary. Well, you need to approximate square root of 61, so we can say the second answer is not right. So now we need to know what to fill in for option 1.
it wants the distance saved, well we know the distance of the diagonal is [tex]10\sqrt{61}[/tex] Hopefully you can see the disctance walking the two other sides is just adding them up so 50+60=110.
Now, to find the difference, that is subtraction. So subtract the smaller number from the larger number. You do need to remember with a right triangle, the sum of the to non diagonal (hypotenuse) sides are always longer than said hypotenuse. so that's 110-[tex]10\sqrt{61}[/tex]. That is the exact form. Or you could use 10(11-[tex]\sqrt{61}[/tex]) They are the same.
Then just plug that into a calculator for a decimal approximation.
Related Questions
is 2012 a term of arithmetic sequence of 5,13,18
Answers
for the given A.P
5,9,13,...
First term (a)=5
common difference (d) = 9-5=4
Let Tn=2012
a +(n-1) d=2012
5 +(n-1) 4=2012
(n-1) 4=2012-5
(n-1)4=2007
n-1=501.75
n=1+501.75
n=502.75 -- - - - - -> which is not possible.
No.of terms can never in fraction.
Hence, 2012 is not a term of given A.P
Which expression is equal to 52√13√?
26√13
65√2
526√13
526√13√
Answers
Answer:
26√13
Step-by-step explanation:
Which of the following scatterplots would have a trend line with a negative slope?
Answers
Answer:
A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.
Divide 5x^2+3x-2 by x + 1
Answers
5x + 8
I used long division
Which of the following is a solution to 2sin2x+sinx-1=0?
Answers
Answer:
270 degrees
Step-by-step explanation:
If you plug in 270 in place of the x's, the function is true!
This is correct for Plate/Edmentum users!! Hope I could help :)
Help if possible pls
Answers
Answer: Oh heaven nah
Step-by-step explanation: Lord have mercy
Answer theas question
Answers
(1) Both equations in (a) and (b) are separable.
(a)
[tex]\dfrac xy y' = \dfrac{2y^2+1}{x+1} \implies \dfrac{\mathrm dy}{y(2y^2+1)} = \dfrac{\mathrm dx}{x(x+1)}[/tex]
Expand both sides into partial fractions.
[tex]\left(\dfrac1y - \dfrac{2y}{2y^2+1}\right)\,\mathrm dy = \left(\dfrac1x - \dfrac1{x+1}\right)\,\mathrm dx[/tex]
Integrate both sides:
[tex]\ln|y| - \dfrac12 \ln\left(2y^2+1\right) = \ln|x| - \ln|x+1| + C[/tex]
[tex]\ln\left|\dfrac y{\sqrt{2y^2+1}}\right| = \ln\left|\dfrac x{x+1}\right| + C[/tex]
[tex]\dfrac y{\sqrt{2y^2+1}} = \dfrac{Cx}{x+1}[/tex]
[tex]\boxed{\dfrac{y^2}{2y^2+1} = \dfrac{Cx^2}{(x+1)^2}}[/tex]
(You could solve for y explicitly, but that's just more work.)
(b)
[tex]e^{x+y}y' = 3x \implies e^y\,\mathrm dy = 3xe^{-x}\,\mathrm dx[/tex]
Integrate both sides:
[tex]e^y = -3e^{-x}(x+1) + C[/tex]
[tex]\ln(e^y) = \ln\left(C - 3e^{-x}(x+1)\right)[/tex]
[tex]\boxed{y = \ln\left(C - 3e^{-x}(x+1)\right)}[/tex]
(2)
(a)
[tex]y' + \sec(x)y = \cos(x)[/tex]
Multiply both sides by an integrating factor, sec(x) + tan(x) :
[tex](\sec(x)+\tan(x))y' + \sec(x) (\sec(x) + \tan(x)) y = \cos(x) (\sec(x) + \tan(x))[/tex]
[tex](\sec(x)+\tan(x))y' + (\sec^2(x) + \sec(x)\tan(x)) y = 1 + \sin(x)[/tex]
[tex]\bigg((\sec(x)+\tan(x))y\bigg)' = 1 + \sin(x)[/tex]
Integrate both sides and solve for y :
[tex](\sec(x)+\tan(x))y = x - \cos(x) + C[/tex]
[tex]y=\dfrac{x-\cos(x) + C}{\sec(x) + \tan(x)}[/tex]
[tex]\boxed{y=\dfrac{(x+C)\cos(x) - \cos^2(x)}{1+\sin(x)}}[/tex]
(b)
[tex]y' + y = \dfrac{e^x-e^{-x}}2[/tex]
(Note that the right side is also written as sinh(x).)
Multiply both sides by e ˣ :
[tex]e^x y' + e^x y = \dfrac{e^{2x}-1}2[/tex]
[tex]\left(e^xy\right)' = \dfrac{e^{2x}-1}2[/tex]
Integrate both sides and solve for y :
[tex]e^xy = \dfrac{e^{2x}-2x}4 + C[/tex]
[tex]\boxed{y=\dfrac{e^x-2xe^{-x}}4 + Ce^{-x}}[/tex]
(c) I've covered this in an earlier question of yours.
(d)
[tex]y'=\dfrac y{x+y}[/tex]
Multiply through the right side by x/x :
[tex]y' = \dfrac{\dfrac yx}{1+\dfrac yx}[/tex]
Substitute y(x) = x v(x), so that y' = xv' + v, and the DE becomes separable:
[tex]xv' + v = \dfrac{v}{1+v}[/tex]
[tex]xv' = -\dfrac{v^2}{1+v}[/tex]
[tex]\dfrac{1+v}{v^2}\,\mathrm dv = -\dfrac{\mathrm dx}x[/tex]
[tex]-\dfrac1v + \ln|v| = -\ln|x| + C[/tex]
[tex]\ln\left|\dfrac yx\right| -\dfrac xy = C - \ln|x|[/tex]
[tex]\ln|y| - \ln|x| -\dfrac xy = C - \ln|x|[/tex]
[tex]\boxed{\ln|y| -\dfrac xy = C}[/tex]
Which expression is equivalent to 3(x - y) + y? 3x - 4y 3x - 3y 3x - 2y 3(x - 2y)
Answers
9514 1404 393
Answer:
(c) 3x - 2y
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
3(x -y) +y = 3x -3y +y = 3x +(-3+1)y = 3x -2y
Now we have to find,
The expression which is equivalent to,
→ 3(x - y) + y
Let's get the solution,
→ 3(x - y) + y
→ 3x - 3y + y
→ 3x - 2y
Hence, required expression is 3x - 2y.
Find the size of unknown angles
Answers
Step-by-step explanation:
2x+3x+x+20=180
6x+20=180
6x=160
x=160/6
x=26.667
Answer:
2X=53.2 , 3X=79.8 , X+20=46.6
Step-by-step explanation:
3X+2X+X+20=180
therefore,
6X+20=180
6X =180-20
6X =160
X = 160 over 6
X =26.6
now,
3X = 26.6 x3
=79.8
2X =26.6 x2
=53.20
X+20 =26.6+20
=46.6
Im not sure if it's right. Because the total does not make 180 degrees.
Which of these is an example of a continuous random variable?
A. Number of flights leaving an airport
B. Pieces of mail in your mailbox
C. Attendance at a sporting event
D. Time to run a race
Answers
Answer:
continues means that can be written in decimal like weight,height, distance(5.44km)
I think its D. is time decimal? Gods plan.
You are reading a study which asked 60 students enrolled in the local high school to self-report drug use, sexual activity and college education plans. You know this is an example of what type of sampling methodology
Answers
Answer:
Convenience sampling method
Step-by-step explanation:
We can see that these students are not selected randomly.
You know this is an example of the convenience sampling method. The convenience sampling method can be described as a non probability method of sampling that is also from people that can be easily contacted. These people are sampled basically for the fact that they are convenient ways of getting data, for the person who is researching. The first available source of primary data is what is used and there are no other requirements for getting this participants.
Weights measured in grams of randomly selected M&M plain candies:
0.957 0.912 0.925 0.886 0.920 0.958 0.915 0.914 0.947 0.939 0.842
What is the range of weights of the middle 99.7% of M&M’s?
(round to the ten thousandths place)
Answers
Answer:
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Sample mean:
[tex]\overline{x} = \frac{0.957 + 0.912 + 0.925 + 0.886 + 0.920 + 0.958 + 0.915 + 0.914 + 0.947 + 0.939 + 0.842}{11} = 0.9195[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(0.957-0.9195)^2 + (0.912-0.9195)^2 + (0.925-0.9195)^2 + (0.886-0.9195)^2 + ...}{10}} = 0.0336[/tex]
What is the range of weights of the middle 99.7% of M&M’s?
By the Empirical Rule, within 3 standard deviations of the mean, so:
0.9195 - 3*0.0336 = 0.8187.
0.9195 + 3*0.0336 = 1.0203.
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
A random sample of medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no pre-liminary estimate for p, how many medical files should you include in a random sample in order to be 90% sure that the point estimate will be within a distance of 0.03 from p?(b) Answer part (a) if you use the pre-liminary estimate that about 13 out of 90 people have blood type B.
Answers
Answer:
a) 752 medical files should be included.
b) 372 medical files should be included.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Question a:
This is n for which M = 0.03. We have no estimate, so we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.67[/tex]
Rounding up:
752 medical files should be included.
Question b:
Now we have that:
[tex]\pi = \frac{13}{90} = 0.1444[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.1444*0.8556}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.1444*0.8556}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.1444*0.8556}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.1444*0.8556}}{0.03})^2[/tex]
[tex]n = 371.5[/tex]
Rounding up:
372 medical files should be included.
I need help solving a problem, can u help me ?
Answers
A^2+b^2=c^2
12^2 +b^2= 13^2
144+b^2 =169
169-144=25
square root 25 is 5
if the two linear functions are represented two different forms the _____ is used to compare the steepness of the two functions>
Answers
Answer:
Slope
Step-by-step explanation:
Given
The above statement
Required
What compares the steep of linear functions
Literally, steepness means slope.
So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.
Also:
Higher slope means steeper line
e.g.
4 is steeper than 1
Fraces bonitas para decirle a tu nv?
minimo 6
Answers
Answer:
it's. is now the MA plz I miss you
si pudiera escoger entre vivir eternamente y vivir dos veces
yo escogeria vivir dos veces porque vivir una vida eterna sin ti a mi lado seria el mayor sufrimiento, ahora vivir dos veces me dejaria tranquilo porque despues del final de mi vida podria volver a encontrarme contigo y vivir todos los momentos bellos una vez mas y eso seria un sueño volviendose realidad
Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.ophelia needs to make a small batch of sauce using only 20 ounces of tomato paste how many cups of water will she need.show your work
Answers
Answer:
1 cup per 8 oz
48/6 = 8
every 1 cup of water 8 oz of tomato paste.
Step-by-step explanation:
can i brainlist
In a game where only one player can win, the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2. Find the probability that one of them will win. (Enter your probability as a fraction.)
Answers
The probability that one of them will win will be 9/14.
Since the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2, then the probability that one of them will win will be:
= 1/7 + 1/2
= 7/14 + 2/14
= 9/14
Therefore, the probability that one of them will win will be 9/14.
Read related link on:
https://brainly.com/question/21689780
PLEASE HELPPPPPPPPPPP
Answers
Answer:
P(S or T) = 3/4
Step-by-step explanation:
Building A is 170 feet shorter than building B. The total height of the two building is 1490 feet. Find the height of each building.
Answers
Answer:
Building A is 660 feet and Building B is 830 feet
Step-by-step explanation:
Let x represent the height of building B.
Since building A is 170 feet shorter than building B, it can be represented by x - 170.
Create an equation and solve for x:
(x) + (x - 170) = 1490
2x - 170 = 1490
2x = 1660
x = 830
So, the height of building B is 830 feet.
Subtract 170 from this to find the height of building A:
830 - 170
= 660
Building A is 660 feet and Building B is 830 feet
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45. What is the weighted mean price per share? (Round your answer to 2 decimal places.)
Answers
Answer: The mean price per share is $22.91
The required weighted mean price per share is $46.09.
Given that,
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45.
To determine the weighted mean price per share.
The average of the values is the ratio of the total sum of values to the number of values.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Required weight mean = 300 * 53 + 400*42 + 400 * 42 / [300 + 400 + 400]
Required weight mean = 50700/ [1100]
Required weight mean = $46.09 per share.
Thus, the required weighted mean price per share is $46.09.
Learn more about mean here:
https://brainly.com/question/15397049
#SPJ2
Expand 3(5y-3) can someone answer this please
Answers
Answer:
15y -9
Step-by-step explanation:
3(5y-3)
Distribute
3*5y -3*3
15y -9
Explanation: To expand 3(5y-3), we need to distribute. This means that we need to multiply the numbers on the outside of the parentheses with the numbers on the inside of the parentheses. In this case, we need to multiply 3 times 5y and 3 times -3. Let’s do so now.
3(5y-3)
15y-9
This is your answer! When expanded, you expression changes to 15y-9.
Hope this helps! Comment below for more questions.
The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the intensity of the light (in lumens) at a depth of 20 feet? Round your answer to the nearest hundredth and label 1 your answer.
Answers
Answer:
11.45 lumens
Step-by-step explanation:
We are given that
[tex]log(I/12)=-0.00235x[/tex]
Where x=Depth
I=Intensity of light
We have to find the intensity of the light at a depth of 20 feet.
Substitute the value of x
[tex]log(I/12)=-0.00235\times 20[/tex]
[tex]log(I/12)=-0.047[/tex]
[tex]\frac{I}{12}=e^{-0.047}[/tex]
[tex]I=12e^{-0.047}[/tex]
[tex]I=11.45 Lumens[/tex]
Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens
Help on this math question please
Answers
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54
Which of the following displays cannot be used to compare data from two different sets?
Answers
Answer:
Scatter plot charts are good for relationships and distributions, but pie charts should be used only for simple compositions — never for comparisons or distributions.
What number can go in the box to make the number sentence true?
6 + 0 = 10
0.
4.
6.
10.
Answers
The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle. Use the formula, area =length*width.
Answers
Answer:
width =20
length = 1
Step-by-step explanation:
length = w - 19
A = l*w
20 = (w-19) * w
20 = w^2 - 19w
Subtract 20 from each side
0 = w^2 - 19w - 20
Factor
0 = (w+1)(w-20)
Using the zero product property
w+1 = 0 w-20 = 0
w = -1 w=20
Widths cannot be negative
w=20
l = 20-19 = 1
Tara created a 1 inch cube out of paper.
1 in
If she doubles the volume of her cube, which statement could be true?
A Tara added two inches to the height, length and width of the cube.
B Tara added two inches to the height of the cube.
C Tara doubled the measurements of the cube's height, length and width.
D Tara doubled the measurement of the cube's height.
Answers
Answer:
answer D
Step-by-step explanation:
V=L*W*H=1 ==> L=1,W=1,H=1
A:
L-> L+2=1+2=3
W -> W+2 = 1+2=3
H -> H+2=1+2=3
V=3*3*3=27 not the doubled of the volume's cube
A is false
B:
H -> H+2=1+2=3
V=1*1*3=3 not the doubled of the volume's cube
B is false
C:
H -> 2*H=2*1=2
L -> 2*L=2*1=2
W -> 2*W = 2*1=2
V=2*2*2=8 not the doubled of the volume's cube
C is false
D:
H-> H*2=1*2=2
L=1
W=1
V=1*1*2=2 is the doubled of the volume's cube
D is true
18. Which of the following is true for a circle that has a circumference of approximately 75 feet?
O The diameter is approximately 12 feet.
O The radius is approximately 12 feet.
O The radius is approximately 12 square feet.
O The diameter is approximately 12 square feet.
Answers
Answer:
A) The diameter is approximately 12 feet.
Step-by-step explanation:
C= piD
sq ft would be wrong bc this is not talking ab area
what are the zeros of this function?
Answers
Answer:
the Ans is c
Step-by-step explanation:
actually I don't know how to explain
