Answer:
1. CYNARG
Step-by-step explanation:
This a example of Caesar's Cipher, in which each letter in the original word leads to a ciphered letter according to the following equation:
[tex]C = (P + o) \text{mod} 26[/tex]
In which C is the index of the Ciphered letter in the alphabet, P is the index of the original letter and o is the offset.
Finding the offset:
O is coded B
O is the 15th letter in the alphabet, so [tex]P = 15[/tex].
B is the 2nd letter in the alphabet, so [tex]C = 2[/tex]
[tex]C = (P + o) \text{mod} 26[/tex]
[tex]2 = (15 + o) \text{mod} 26[/tex]
[tex]|o = |2-15| \text{mod} 26[/tex]
[tex]o = 13[/tex]
So
[tex]C = (P + 13) \text{mod} 26[/tex]
PLANET:
P
P is the 16th letter in the alphabet.
[tex]C = (16 + 13) \text{mod} 26 = 3[/tex]
So P is coded C.
L
L is the 12th letter in the alphabet:
[tex]C = (12 + 13) \text{mod} 26 = 25[/tex]
L is coded Y(25th letter in the alphabet)
A
A is the 1st letter in the alphabet
[tex]C = (1 + 13) \text{mod} 26 = 14[/tex]
A is coded N
N
N is the 14th letter in the alphabet
[tex]C = (14 + 13) \text{mod} 26 = 1[/tex]
N is coded A
E
E is the 5th letter in the alphabet
[tex]C = (5 + 13) \text{mod} 26 = 18[/tex]
E is coded R
So the correct answer is:
1. CYNARG
Use the given data valuesâ (a sample of female arm circumferences inâ centimeters) to identify the corresponding z scores that are used for a normal quantileâ plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantileâ plot, then determine whether the data appear to be from a population with a normal distribution.40.334.831.838.244.2List the z scores for the normal quantile plot.â(Round to two decimal places as needed. Use ascendingâorder.)
Answer:
The normal quantile plot is provided below.
Step-by-step explanation:
The standardized normal scores are known as z-scores.
If there are n values in a data set then the area corresponding to these n values is given by:
[tex]\text{Area}=\frac{i-0.5}{n}[/tex]
Here, i € {1, 2, ..., n}.
Arrange the data provided in ascending order.
S = { 31.8, 34.8, 38.2, 40.3, 44.2}
Consider the table for the z-scores.
To form the normal quantile plot, make a scatter plot with the z-scores on the y-axis and the values provided on the x-axis.
The normal quantile plot is provided below.
The population of a town increases by 5 % every five years. Due to a high rate of industrialisation of
the area, the population witnesses a further 5 % increase due to migration from neighbouring places.
Which of the following can be the population of this place, if it is known that the present population of
the place is between 44000 and 45000?
A) 44100
B)44050
C)44200
Answer:
A
Step-by-step explanation:
Because 105%*105%=1.1205
and the only number divisible by that is A
Ron is weighs 140 kg, and the doctor said that he must to start losing weight. How long will it take for Ron to get to 105 kg if he loses 500g per week?
Answer:
70 weeks
Step-by-step explanation:
500g = .5kg
140 - .5w = 105
35 = .5w
70 = w
Consider the initial value problem y' + 3y = 9t, y(0) = 7.
a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below).
b. Solve your equation for Y(s).
Y(s) = L {y(t)} =
c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).
y(t) =
Answer:
[tex]y(t) = 3x+8e^{-3x} -1[/tex]
Step-by-step explanation:
Recall that the following laplace transforms
[tex]L(y') = sY(s)-y(0)[/tex]
[tex]L(t) = \frac{1}{s^2}[/tex]
The laplace transform is linear, so, applying the laplace transform to the equation we get
[tex]L(y'+3y) = sY(s)-7+3Y(s) = L(9t) = \frac{9}{s^2}[/tex]
By some algebraic manipulations, we get
[tex] Y(s)(s+3) = \frac{9+7s^2}{s^2}[/tex]
which is equivalent to
[tex] Y(s) = \frac{9+7s^2}{s^2(s+3)} = \frac{9}{s^2(s+3)}+\frac{7}{s+3}[/tex]
By using the partial fraction decomposition, we get
[tex] \frac{9}{s^2(s+3)} = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3}[/tex]
then
[tex]Y(s) = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3} + \frac{7}{s+3} = \frac{8}{s+3} + \frac{3}{s^2}-\frac{1}{s}[/tex]
Using that
[tex] L(e^{-ax}) = \frac{1}{s+a}[/tex]
[tex]L(1) = \frac{1}{s}[/tex]
by taking the inverse on both sides we get
[tex] y(t) = L^{-1}(\frac{8}{s+3})+L^{-1}(\frac{3}{s^2})+L^{-1}(-\frac{1}{s}) = 8e^{-3x} + 3x-1[/tex]
y = 2x^4 convert to polar form
Answer:
The polar form is sinθ = 2 r³cos⁴θ
Step-by-step explanation:
Explanation:-
Given function y = 2 x⁴
Parametric Form x = r cosθ ....(i)
and y = r sinθ ....(ii)
squaring x² = r² cos ²θ
y² = r² sin²θ
adding x² + y² = r² cos ²θ+r² s in²θ
= r²( cos ²θ+s in²θ)
= r²( 1)
x² + y² = r²
Given function y = 2 x⁴
Now convert into polar form
r sinθ = 2 (r cos θ )⁴
r sinθ = 2 (r )⁴cos θ )⁴
sinθ = 2 r ³cos⁴θ
I have a total of 10 gigabytes of data on my computer, xgigabytes are movies and the rest is music. How many gigabytes of music is stored on my computer?
Answer:
10-xgigabytes=music
Step-by-step explanation:
Don't know what you mean by xgigabytes.
Answer:
Movies: x gig
pictures: x/2 gig
music: 10 - x - x/2 = 10 - (3/2)x
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
Answer:
15 km/h
Step-by-step explanation:
Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?
15 minutes * (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed * time
distance = 12 km/h * 0.25 hour = 3 km
He cycles a distance of 3 km.
12 minutes * (1 hour)/(60 minutes) = 0.2 hour
speed = distance/time
speed = 3 km/(0.2 hour)
speed = 15 km/h
if 2 X degree is the exterior angle of triangle and X degree and 45 degree are opposite interior angles find the value of x degree
Answer:
x=32
Step-by-step explanation:
that's the value for x i think, i'm not sure
What is the solution to this system of linear equations? x − 3y = −2 x + 3y = 16
Answer:
so x=5 1/3 and
y= -2 2/3
Step-by-step explanation:
x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see
x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.
so x=5 1/3 and
y= -2 2/3
Answer: ( x = -32, y = -16 )
Step-by-step explanation:
This can be represented by the three sides of an equilateral triangle.
x - 3y = -2x + 3y , simplify
x + 2x - 3y - 3y = 0
3x - 6y =0
x - 2y = 0 ---------------------- 1
x - 3y. = 16 ---------------------2
Solve using any methods
By elimination
y. = -16.
Substitute for y in any of the equations
x - 2y = 0
x. - 2(-16) = 0
x + 32 = 0
Therefore
x. = -32
Solution is ( -32, -16 )
Which of the following is equivalent to the polynomial given below?
Answer:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just [tex]+6x[/tex]. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]
[tex]x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)[/tex][tex]x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})[/tex][tex]x^{2}+6x+9-(11)(-1)[/tex]
[tex]x^{2}+6x+9+11[/tex]
[tex]x^{2}+6x+20[/tex]
Therefore as we suspected, the answer is C.
the figure below shows segments AC and EF which intersect at point B.
Answer:
Choice 3
Step-by-step explanation:
For some reason it doesn't let me put more details
Answer: C) ∠ A FB ≅ ∠CEB
Step-by-step explanation:
We can prove that Δ ABF ≅ ΔCBE by Angle-Angle (AA) Congruency Theorem.
∠ABF ≡ ∠CBE Vertical Angles Postulate
∠AFB ≡ ∠CEB Alternate Interior Angles Postulate
∠FAB ≡ ∠ECB Alternate Interior Angles Postulate
We only need two of the above statements/reasons above to prove AA Congruency Theorem.
How much would 25 acres cost selling it 1500 per acre?
Answer:
Step-by-step explanation:
$37,500
1500 times 25.
a.) The perimeter of a rectangular field is 354 m. If the length of the field is 95m, what is its width? b.) The area of a rectangular painting is 8439 cm^2. If the width of the painting is 87cm, what is its length?
Answer:
a) 82
b) 97
Step-by-step explanation:
a) 354 - (95+95)
354 - 190
164
164 ÷ 2 = 82
(82+82+95+95=254)
b) 8439 cm^2 = 87x
8439 cm^2 ÷ 87 = 87x ÷ 87
97 = x
Suppose the area of a circle is 201.0624 square feet. What's the diameter of the circle? (Use π = 3.1416.)
Answer:
16
Step-by-step explanation:
Area of circle Formula: A = πr²
d = 2r
Simply plug in what you know:
201.0624 = 3.1416r²
64 = r²
r = 8
d = 2(8)
d = 16
a polynomial of degree N has n
Answer:
see explanation
Step-by-step explanation:
According to the Fundamental theorem of Algebra.
A polynomial of degree n has n roots which may be real or complex or both.
Answer:
The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots
(counting multiplicity)
which of the following is a composite number? 6,1,0,19
Answer:
63
Step-by-step explanation:
A composite number is an integer which can be found by mulitplying 2 smaller integers, 7 and 9 in this case
Determine the slope of the line that has the following coordinates: (5, 9)(11, - 3)
Answer:
[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]
The slope can be founded with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{-3 -9}{11-5}= -2[/tex]
And the best answer for this case would be :
[tex]m=-2[/tex]
Step-by-step explanation:
For this case we have the following two points given:
[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]
The slope can be founded with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m =\frac{-3 -9}{11-5}= -2[/tex]
And the best answer for this case would be :
[tex]m=-2[/tex]
Can someone answer these questions dm me or just do it in the comments.
Answer:
1. 8/4+ 3= 5
2. 5/(10/2)= 1
3. 5+10/2=10
4. 8/2+5x5= 29
5. 5+3/15+2= 10.15
6. 30+6x11-11= 25.11
7. 12 + (19+2) / 3 =19
Step-by-step explanation:
---------------------------------------------
Student name : Aparna Guha
Class : 8th
Division : B
School : St. John's Marhauli
Suggested subject : Maths
Work given on : 08 : 07 : 2020
Completed on : 08 : 07 : 2020
Posted on : 08 : 07 : 2020
Topic : Worksheet 1
Teacher's name : Manish Goel
School name : St. John's Marhauli
----------------------------------------------
You own 13 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetical order?
Answer:
1/154440
Step-by-step explanation:
To calculate the probability it would be the quotient between 1 and the number of ways to choose 5 out of 13, but in this case the order matters, so it would be the permutation 13P5, therefore:
We know that:
nPr = n! / (n-r)!
we replace and we have:
13P5 = 13! / (13-5)! = 154440
The probability that the rack ends up in alphabetical order is 1/154440
The probability that the rack ends up in alphabetical order is 1/154440
This is a question relating to permutation and combination. In order to calculate the probability, it would be the permutation 13P5, and this will be:
nPr = n! / (n-r)!
13P5 = 13! / (13-5)!
= 13! / 8!
= 13 × 12 × 11 × 10 × 9
= 154440
Therefore, the probability that the rack ends up in alphabetical order is 1/154440.
Read related link on:
https://brainly.com/question/6034318
Please answer this correctly
Answer:
4/5 chance
Step-by-step explanation:
There are 4 numbers that fit the rule, 1, 3, 4, 5, since all of them are either odd or greater than 3. There will be a 4/5 chance of picking one.
Answer:
4/5 is the answer.Step-by-step explanation:
Facts!This is because 5 is odd and greater than 3.
Also. 4 is greater than 3.
After that, the other odd numbers are 1 and 3
So the numbers are 1, 3, 4, and 5.
So 4 out of 5 numbers are counted in the circle.
In this way 4/5 is the answer.
4/5 is the answer.Hope this helped!
Kavitha
CAN SOMEONE HELP ME ASAP
A. 5
B. 53‾√53
C. 10
D. 103√3
Answer:
n = 5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 30 = n/ 5 sqrt(3)
5 sqrt(3) tan 30 = n
5 sqrt(3) * 1/ sqrt(3) = n
5 = n
Please answer this correctly
Answer:
40%
Step-by-step explanation:
The numbers that are not even are 5 and 7.
2 numbers out of 5.
2/5 = 0.4
P(not even) = 40%
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
5 and 7 are not the numbers
There are 5 numbers in the spinner
[tex]p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%[/tex]
A recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes). A random sample of 10 of these customers is selected. What is the probability that exactly 30% of these 10 telephone users do not have landlines in their homes
Answer:
The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.
Step-by-step explanation:
We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).
A random sample of 10 of these customers is selected.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 10 customers
r = number of success = 30% of 10 = 3
p = probability of success which in our question is the probability
that telephone users do not have landlines in their homes,
i.e. p = 30%
Let X = Number of telephone users who do not have landlines in their homes
So, X ~ Binom(n = 10, p = 0.30)
Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)
P(X = 3) = [tex]\binom{10}{3}\times 0.30^{3} \times (1-0.30)^{10-3}[/tex]
= [tex]120 \times 0.30^{3} \times 0.70^{7}[/tex]
= 0.2668
Solving by fractions
Answer: Step 3
Step-by-step explanation:
x = -9 or 1. She flipped the signs.
Hope it helps <3
━━━━━━━☆☆━━━━━━━
▹ Answer
Step 3
▹ Step-by-Step Explanation
Juliet flipped the signs. The final answer should be (-9, 1)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Bi-Ready
Sofia
The area of a rectangle is square foot. The width of the rectangle is 2 feet. What is the length
the rectangle?
Answer:
The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .
Step-by-step explanation:
The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?
Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.
As we know that the area of the rectangle is given by;
Area of rectangle = Length of rectangle [tex]\times[/tex] Width of rectangle
Or
A = L [tex]\times[/tex] W
Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.
SO, [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]
[tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]
[tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]
[tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]
Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .
The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 6.9
mPQ = 1
(ii) 6.99
mPQ = 2
(iii) 6.999
mPQ = 3
(iv) 6.9999
mPQ = 4
(v) 7.1
mPQ = 5
(vi) 7.01
mPQ = 6
(vii) 7.001
mPQ = 7
(viii) 7.000
mPQ = 8
(b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at
P(7, −2).
m = 9
(c) Using the slope from part (b), find an equation of the tangent line to the curve at
P(7, −2).
The equation of the tangent line to the curve at P(7, -2) is y = 2x -16.
For each given value of x, we substitute the coordinates of P and Q into the slope formula to find the slope mPQ.
(i) For x = 6.9:
mPQ = (2/(6 - 6.9) - (-2)) / (6.9 - 7)
= 2.22
(ii) For x = 6.99:
mPQ = (2/(6 - 6.99) - (-2)) / (6.99 - 7)
= 2.020
(iii) For x = 6.999:
mPQ = (2/(6 - 6.999) - (-2)) / (6.999 - 7)
= 2.002002
(iv) For x = 6.9999:
mPQ = (2/(6 - 6.9999) - (-2)) / (6.9999 - 7)
= 2.000200
(v) For x = 7.1:
mPQ = (2/(6 - 7.1) - (-2)) / (7.1 - 7)
= 1.818182
(vi) For x = 7.01:
mPQ = (2/(6 - 7.01) - (-2)) / (7.01 - 7)
= 1.980198
(vii) For x = 7.001:
mPQ = (2/(6 - 7.001) - (-2)) / (7.001 - 7)
= 1.998002
(viii) For x = 7.0001:
mPQ = (2/(6 - 7.0001) - (-2)) / (7.0001 - 7)
= 1.999800
By observing the pattern in the calculated slopes, we can see that as x approaches 7, the slope of the secant line PQ approaches 2.
Using the point-slope form, we have:
y - y₁ = m(x - x₁)
Substituting the values of P(7, -2), we have:
y - (-2) = 2(x - 7)
y = 2x -16
Therefore, the equation of the tangent line to the curve at P(7, -2) is y = 2x -16.
Learn more about the equation of the tangent line here:
https://brainly.com/question/31583945
#SPJ12
13. Mr. Ralph took out a 10-year term policy with a face value off dollars. Over the lifetime of the policy, he pays monthly payments of m dollars. He dies after 12 years. How much will his family receive
from the insurance company?
Answer:
0
Step-by-step explanation:
There will be no death benefit. The policy expired after 10 years.
Find the measure of angle angle AEB in the figure below. Enter only the number. PLEASE HELP ASAP
Answer:
42°
Step-by-step explanation:
AD is a line
AEC and DEC are both 90°
AEB and CEB make up 90°
AEB+CEB=AEC substitute
AEB+48=90 Next use Subtraction property of equality
AEB=42
Hope this helps, if so please give me brainliest, it helps a lot. :)
Have a good day!
Answer:
∠AEB=42
Step-by-step explanation:
∠AEB and ∠BEC are inside of ∠AEC.
∠AEC is a right angle, Since ∠AEC and ∠CED are on a straight line, they must add to 180 degrees. ∠CED is a right angle (the little square in the corner tell us this), so ∠AEC must also be a right angle. This is because a right angle is 90 degrees (∠CED+∠AEC=180 --> 90+∠AEC=180 --> ∠AEC=90)
Therefore, the 2 angles (AEB and BEC) inside of ∠AEC must add to 90 degrees.
∠AEB+ ∠BEC= 90
We know that ∠BEC=48
∠AEB+48=90
We want to find out what ∠AEB is. We must get ∠AEB by itself. 48 is being added, and the inverse of addition is subtraction. Subtract 48 from both sides.
∠AEB+48-48=90-48
∠AEB=90-48
∠AEB=42
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answer: L = 20.25
Step-by-step explanation:
[tex]T=2\pi \sqrt{\dfrac{L}{32}}[/tex]
Given: T = 5, π = 22/7
[tex]5=2\bigg(\dfrac{22}{7}\bigg)\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{5}{2}\bigg(\dfrac{7}{22}\bigg)=\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{35}{44}=\sqrt{\dfrac{L}{32}}\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\bigg(\sqrt{\dfrac{L}{32}}\bigg)^2\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\dfrac{L}{32}\\\\\\32\bigg(\dfrac{35}{44}\bigg)^2=L\\\\\\\large\boxed{20.25=L}[/tex]
6) BRAINLIEST & 10 + POINTS!
Answer:
the height of the building is approximately 134 yards
Step-by-step explanation:
Recall that i order to use the arc-length formula:
[tex]arc\,\,length=R\,\theta[/tex]
we know the radius R, but the angle [tex]\theta[/tex] must be given in radians. Then we convert [tex]4.5^o[/tex] to radians, and then use 1700 yards as the radius in the formula.
[tex]4.5^o*\frac{\pi}{180} =0.07854[/tex]
Therefore, the arc length formula would render:
[tex]arc\,\,length=R\,\theta\\arc\,\,length=1700\,(0.07854)=133.518\, yards[/tex]
which rounded to the nearest yard becomes: 134 yards
Answer:
≈ 134 yards
Step-by-step explanation:
Arc length formula:
s= rθ
s = arc length (in radians)
r = radius
θ = central angle in radians
-------
Given,
s= 1700 yards
θ= 4.5°, converted to radians: 4.5°*π/180°= 0.0785
So the arc length:
s= 1700*0.0785= 133.45 ≈ 134 yards