\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-1)}) \implies y +1= -4 (x +1) \\\\\\ y+1=-4x-4\implies {\LARGE \begin{array}{llll} y=-4x-5 \end{array}}\)
(a)Offspring survivorship, S, for another bird species decreases with clutch size, C, as S = 0.5 - 0.1C. What is the optimal clutch size for this species? Again, assume that the bird lays one clutch per year, regardless of how many eggs are in the clutch. (b) Find a symbolic expression for optimal clutch size in a species that has a survivorship-clutch size relationship of the form S = a - bC
The optimal clutch size is 1.
a)The survivorship of an offspring, S, decreases with the clutch size, C.
Therefore, the formula is given as:
S = 0.5 - 0.1C
We need to find the optimal clutch size for this bird species.
We can do this by differentiating S with respect to C, and equating the result to zero.
That is:S = 0.5 - 0.1C => dS/dC = -0.1
Equating dS/dC to zero gives:-0.1 = 0 => C = 0
This implies that there is no optimal clutch size for this species.
However, since C represents clutch size, it must be a positive integer.
Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is
1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.
We can differentiate S with respect to C, and equate the result to zero.
That is:S = a - bC => dS/dC = -b
Equating dS/dC to zero gives:-b = 0 => C = 0
This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.
learn more about clutch on
https://brainly.com/question/31217422
#SPJ11
FAST ANSWERS ONLY 59. A triangle has sides of lengths 21, 47, and 52. Is it a right triangle? Explain.A. yes; 212 + 472 € 522C. yes; 212 + 472 522B.no; 212 + 472522D. no; 212 + 472 522
The largest side of the triangle is 52.
Checking pythagoraus theorem,
\(\begin{gathered} 52^2=2704 \\ 21^2+47^2=441+2209 \\ =2650 \\ \text{Thus,} \\ 21^2+47^2\ne52^2 \end{gathered}\)Thus, it is not a right angle triangle.
Thus, option (D) is correct.
when reading a table for bivariate analysis that displays percentages of some attributes, what is the rule of thumb for reading the table?
Bivariate table is that which shows the relationship between two variables. The rule of thumb... if the table is scaled down by percentage, read the whole thing. If the table is percentages, read it down.
Bivariate table:
A table that depicts the relationship between two variables by showing the distribution of one variable over the categories of a second variable.
Bivariate Table Primary Purpose:
A bivariate table shows the distribution of one variable over the categories of another variable.
Finally, we mentioned that univariate data can be displayed in many different ways, such as bar charts and box plots. Bivariate data, on the other hand, are usually displayed in scatter plot.
Rule of thumb:
Bivariate analysis results can be represented in form of a two-column data table.
A rule of thumb when reading spreadsheets created by others is then spreadsheet is percentage down, read the whole thing. If the table is percentages, read it down.
To learn more about bivariate table, refer:
https://brainly.com/question/10219023
#SPJ4
Plzz help tysm if you do
Answer:
B
Step-by-step explanation:
it is defined for all values so D=R
also we can get any value
so Range =R
Answer:
B
Step-by-step explanation:
because that's odd power function it can take both, negative and positive values
Nancy has the following data:
4 12 2 v 18
If the median is 12, which number
could v be?
If the median of the given data is 12, then we need to arrange the numbers in ascending order:
2, 4, v, 12, 18Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.
Therefore, v could be any number greater than 4 and less than 12.
Which of the following encryption methods combines a random value with the plain text to produce the cipher text?
One-time pad
Steganography
Transposition
Elliptic Curve
The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.
The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.
In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.
Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.
Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.
Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.
Therefore, the correct answer is: One-time pad.
To learn more about One time pad
https://brainly.com/question/14859740
#SPJ11
Find the length of QR
Answer:
QR = 15
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
(QR+5) *5 = 10^2
(QR+5) *5 = 100
Divide each side by 5.
(QR+5) *5/5 = 100/5
(QR+5) = 20
Subtract 5 from each side.
QR = 20-5
QR = 15
PLEASE HELP ASAP!!!
How many perfect squares are two-digit and divisible by $3?$
There are 2 perfect squares that are two-digit and divisible by 3.
To find the two-digit perfect squares that are divisible by 3, we can start by finding all the two-digit perfect squares and then check which ones are divisible by 3. The two-digit perfect squares are:
4: 16
5: 25
6: 36
7: 49
8: 64
9: 81
Now we can check which of these numbers are divisible by 3:
16: not divisible
25: not divisible
36: divisible
49: not divisible
64: not divisible
81: divisible
Thus, there are two two-digit perfect squares that are divisible by 3: 36 and 81.
So, the answer is 2.
OAB is a minor sector of the circle below.
Calculate the length of the minor arc AB.
Give your answer in centimetres (cm) to 1 d.p.
A to B
40°
A to O
19 cm
To one decimal place, the minor arc of AB measures 12.006 cm.
To calculate the length of the minor arc AB, we must find the circumference of the entire circle and then determine what fraction of the circumference the arc AB represents.
Since the radius of the circle is equal to AO, which is 19 cm, we can use the formula for the circumference of a circle:
C = 2πr
Substituting the radius value, we get:
C = 2π * 19 cm
Now to find the length of the lateral arc AB, we must calculate what fraction of the circumference is represented by the central angle of 40°.
The central angle AB is 40°, and since the central angle of a full circle is 360°, the fraction of the circumference represented by the smaller arc AB can be calculated as:
Part of a circumference = (40° / 360°)
To find out the length of the small arc AB, we multiply the fraction of the circumference by the total circumference of the circle:
AB's minor arc length is equal to the product of the circumference and its fraction.
AB's short arc's length is equal to (40°/360°) * (2 * 19 cm).
The length of the small arc AB ≈ 0.1111 * (2π * 19 cm)
The length of the small arc AB is ≈ 12.006 cm
Therefore, the length of the lower arc AB is approximately 12.006 cm to one decimal place.
For more question on minor arc visit:
https://brainly.com/question/28980798
#SPJ8
Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.
Answer:
95. 45%
Step-by-step explanation:
Given :
Mean score, = 64
Standard deviation = 2
Score between 60 and 68
P(Z < (x - mean) / standard deviation)
P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)
P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)
P( score between 60 and 68)
P(Z < 2) - P(Z < - 2)
0.97725 - 0.02275 = 0.9545
Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%
I have a 30% off Kohl’s coupon!!! I find a pair of jeans for $29. What would my cost be with the 30% off?
Answer:
$20.30 plus tax
Step-by-step explanation:
You multiply 28 x .30 and that is your discount.
Answer:
$20.30
Step-by-step explanation:
The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surface area of the prism?
Step-by-step explanation:
Given data
lateral surface area= 30ft
base area of squared prism = 25 ft means height= 25
(therefore, square object length breadth and height same )
total surface area = lateral surface * height
= 30ft*25ft
=750 ft square.
it may be help you . please mark me as brainlist
thanks.
find a sequence of seven consecutive numbers, none of which is prime
Answer:
24, 25, 26, 27, 28, 29, & 30
Step-by-step explanation:
These should all be good to go! Hopefully it helps.
Answer:
the seven consecutive composite number less than 100 such that there is no prime number between them are 90,91,92,93,94,95,96,.......
VSolve for x where x=PV(1+r)
∧
t. Assume PV=190.00,r=9.00%, and t=5.00. Answer format: Number. Round to: 2 decimal places. The number e is approximately equal to 1.58472 2.71828 3.14159 4.44556 Solve for x where x=FV/(1+r)
∧
. Assume FV=3,054.00,r=9.00%, and t=8.00. Answer format: Number. Round to: 2 decimal places. Solve for x where FV=P
∗
(1+x)
∧
t. Assume FV=1,017.00,PV=835.00, and t=6.00. Answer format: Percentage Round to: 2 decimal places (Example: 9.24%,% sign required. Will accept decim rounded to 4 decimal places (ex: 0.0924))
The value of x is 311.14, 1527.15 and 1.61%.
Given that x = PV(1+r)^t. Assume PV=190.00, r=9.00%, and t=5.00.
Substitute the given values in the above expression, we get
x = 190(1 + 0.09) ^ 5
Simplify the above expression, we get: x = 190(1.09) ^ 5 = x = 190 × 1.63861881 = x = 311.1371749
Thus, the value of x is 311.14 (rounded to 2 decimal places).
Given that x = FV/(1+r)^t. Assume FV=3,054.00, r=9.00%, and t=8.00.
Substitute the given values in the above expression, we get: x = 3054/(1 + 0.09) ^ 8
Simplify the above expression, we get;: x = 3054/1.999675406`x = 1527.15
Thus, the value of x is 1527.15 (rounded to 2 decimal places).
Given that FV = P(1 + x) ^ t. Assume FV=1,017.00, PV=835.00, and t=6.00.
Substitute the given values in the above expression, we get: 1,017 = 835(1 + x) ^ 6
Divide both sides of the equation by 835.00, we get: 1,017/835 = (1 + x) ^ 6
Take the 6th root of both sides of the equation, we get: (1.215568862)^(1/6) = 1 + x
Simplify the above expression, we get: 1.0160907 = 1 + x = x = 1.0160907 - 1 = x = 0.0160907
Converting decimal into percentage, we get: 0.0160907 × 100 = 1.61%
Thus, the value of x is 1.61% (rounded to 2 decimal places).
To know more about compound interest, visit:
https://brainly.com/question/14295570
#SPJ11
Which inequality is true? Please help!
Answer:
second one
Step-by-step explanation:
4\(\pi\) = 12.56
that's greater than 12
How do you write the algebraic notation when the scale factor is 1/2?
Answer:
(x,y) = (.5x,5y)
Step-by-step explanation:
what is 17.8 + ¯18.7 =
Answer:
89 over 5
Step-by-step explanation:
Is 5 a solution to 4 + x = 6 ? Why or why not?
Answer:
no
Step-by-step explanation:
x has to be 2 because 4+2=6
Answer:
no, because 4 + 5 = 9 not 6.
Step-by-step explanation:
the only way for this equation to be true is if x = 2.
Problema de Ecuación de la demanda La demanda semanal para un CD es de 26 mil unidades cuando el precio es de $12 cada una, y de 10 mil cuando el precio unitario es de $18. Encuentra una ecuación de la demanda para el CD suponiendo que es lineal.
Answer:
d(x) = - 2666.67*a + 42000
Step-by-step explanation:
Vamos a llamar a d(x) la ecuación de la demanda de CD, entonces como la relación entre las dos variables es lineal la ecuación de la demanda es del tipo:
d(x) = a*x + b (1)
en esa relación a es la pendiente de la recta y b es el intercepto con el eje y que en este cas es el eje de valores de d(x).
Tenemos dos condiciones que cumplir y dos incógnitas que determinar ( a y b).
Cuando el precio ( x = 18 $ ) el monto de d(x) es de 10000 entonces por sustitución en la ecuación general (1)
10000 = 18*a + b (2)
Y cuando ( x = 12 $) d(x) = 26000
26000 = 12*a +b (3)
Resolviendo para a y b el sistema de dos ecuacions con dos incógnitas tenemos:
restando ec 3 - ec 2
16000 = - 6*a
de donde a = - 16000/6
a = - 2666.67
Llevando ese valor a ec 2
10000 = 12 *(- 2666.67) + b
10000 + 32000 = b
b = 42000
Finalmente la ecuación buscada es:
d(x) = - 2666.67*a + 42000
Como la pendiente es negativa significa que d(x) va decreciendo cuando x va en aumento
The top of the silo is a hemisphere with a radius of 12 ft. The bottom of the silo is a cylinder with a height of 40 ft. How many cubic feet of grain can the silo hold?
Use 3.14 for pi.
Enter your answer in the box. Round only your final answer to the nearest cubic foot.
PLEASE HELP ME AND I WILL GIVE BRAINLIEST AND TONS OF POINTS.
Answer:
21,704
Step-by-step explanation:
Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)
V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere
V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder
Let's find the hemisphere first.
We're using 3.14 for pi, so the equation would look like this
V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)
V = \(\frac{2}{3}\) x 3.14 x 1728
V = 3617.28 \(ft^{3}\)
Now let's find the volume of the cylinder.
V = 3.14 x \(12^{2}\) x 40
V = 3.14 x 144 x 40
V = 18,086.4 \(ft^{3}\)
Last, you add both volumes together.
3617.28 + 18,086.4 = 21,703.68
Round it to make it 21,704.
The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .
What is the volume of an object?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Given that the top of a silo is a hemisphere
Radius(r) = 12 ft.
Then, the volume of a hemisphere is,
V = 2/3πr³
V = 2/3 x 3.14 x 12³
V = 10851.84 feet³
And, the bottom of the silo is a cylinder with
height (h) = 40ft.
the volume of a cylinder is,
V = πr²h
V = 3.14 x 12² x 40
V = 18095.57
So, the total volume is
V = 10851.84 + 18095.57
V = 28947.41
Then, total volume = total number of cubic feet of grain
Hence, the required answer is, 28947.41 .
To learn more about the volume visit:
brainly.com/question/24372707
#SPJ2
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)
\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)
Please hurry please please, please PUT ALOT OF POINTS AND WILL BUT BRINEY
Deirdre deposits $2,500.00 into an account that pays 3.5% annual simple interest. If she makes no other deposits, what will be the balance in the account at the end of two years?
Answer:
2678.06
Step-by-step explanation:
Annual is once every year and 3.5% of 2,500.00 is
3.5% ×2,500.00 = 87.5
so in the first year Deirdre has 2500.00 + 87.5 = 2587.5
then you find 3.5% of 2587.5 which is 90.56250000000001
but since it's money we round it to 90.56
2587.5+90.56= 2678.06
Answer:
at the end of 5 years it will be $1,280.30 for one one account so it would be same for each account
Step-by-step explanation:
Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one
year.
The interest on the loan is
The APR on this loan is
Answer:
15.14%
Step-by-step explanation:
The formula for APR is stated thus:
APR=fees+interest/principal/n*365*100
principal is the loan amount of $700
fees is the processing fees on the loan which is $50
interest amount=principal*interest %=$700*8%=$56
n is the number of days of the loan which is a year i.e 365 days
APR=($50+$56)/$700/365*365*100
APR=$106/$700/365*365*100
APR=0.151428571 /365*365*100
APR=0.151428571 *100=15.14%
The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually
The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?
Answer:
12
Step-by-step explanation:
12/5 = 2.4
2.4(x)
if x = 5 then,
2.4(5) = 12
Answer:
12.5 or 25/2
Step-by-step explanation:
you do 30/12 get 2.5 then do 2.5 times 5 to get 12.5 or 25/2
plese view the image for a brainlist :))
Match the following equation with the appropriate graph, table or written description.
y=10x+15
Answer:
NOT B, C or E
Step-by-step explanation:
I couldn't see the numbers on the graph bc they were blurry and small, but I can tell you that the answer is not any of the tables or the word problem on the bottom.
IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss
A.
{4,7,8}
B.
EMPTY SET
C.
{2,5,6,7,4,8}
D.
{2,5,6}
Answer:
C - {2,5,6,7,4,8}
Step-by-step explanation:
It's just because these are the numbers that they don't have in common.
You from irv guessing from your username?
Answer:
Step-by-step explanation:fhh
Directions: using the rules for calculating volume that you have learned, complete the following
problems and submit/upload for grading. show your work for full credit.
1) you have rented a moving truck to move into your first apartment. abc truck has
interior dimensions of 168 in x 96 in x 77 in. the dimensions of your storage boxes are 24 in x
13 in x 28 in. determine how many boxes can fit into the truck. show your work and include
correct units.
With the measurements mentioned, 142 boxes may fit into the truck.
What is volume?Volume is the quantity of space in a 3D object in arithmetic. A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which is six. Volume is defined as the space occupied by an item inside the confines of three-dimensional space. It is also known as the object's capacity.
Here,
interior dimensions of truck,
=168 in x 96 in x 77 in
dimensions of storage boxes,
=24 in x 13 in x 28 in
=168 x 96 x 77/24 x 13 x 28
=142.12
142 boxes can fit into the truck with given dimensions.
To know more about volume,
https://brainly.com/question/28338582
#SPJ4
A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?
Answer:
2142 inches^2
Step-by-step explanation:
parallelogram's area: base * height
so, 34*63 = 2142
I just went on g0091# and looked up Nicki Minaj million dollar ##### I went to g0091# images to get a pic from the vid and a woman’s legs open and her area was showing the song is called tap out not million dollar
Answer:ok
Step-by-step explanation:
Answer:
Dam, that’s tuff. I love Nikki Minaj!!!
Step-by-step explanation: