Answer:
Use this equation to find out!
Step-by-step explanation:
Since you didn't specify the n-gon, you have to use this equation to find out!
Number of Diagonals = n(n-3)/2
Hope this helps! :)
Solve the given differential equation by separation of variables. dy dx = e4x 5y
The solution to the given differential equation [tex]\frac{dy}{dx} = e^{4x+5y}[/tex] is , [tex]\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c[/tex], where c is constant of integration.
For given question,
We have been given a differential equation [tex]\frac{dy}{dx} = e^{4x+5y}[/tex]
We know that for any real number a, m, n,
[tex]a^{m + n} = a^m \times a^n[/tex]
⇒ dy/dx = [tex]e^{4x}[/tex] × [tex]e^{5y}[/tex]
Separating the variables (x and its differential in one side and y and its differential in another side )
⇒ [tex]\frac{1}{e^{5y}}[/tex] dy = [tex]e^{4x}[/tex] dx
⇒ [tex]e^{-5y}[/tex] dy = [tex]e^{4x}[/tex] dx
Integrating on both the sides,
⇒ [tex]\int e^{-5y}[/tex] dy = [tex]\int e^{4x}[/tex] dx
We know that, [tex]\int e^{ax}\, dx=\frac{e^{ax}}{a} +C[/tex]
⇒ [tex]\int e^{4x}\, dx=\frac{e^{4x}}{4} +C[/tex]
and [tex]\int e^{-5y}\, dy=\frac{e^{-5y}}{-5} +C[/tex]
So the solution is, [tex]\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c[/tex], where c is constant of integration.
Therefore, the solution to the given differential equation [tex]\frac{dy}{dx} = e^{4x+5y}[/tex] is , [tex]\frac{e^{-5y}}{-5}=\frac{e^{4x}}{4} +c[/tex], where c is constant of integration.
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If the maximum payment of $5,000 is made into a individual retirement account (ira) for 25 years at an annual interest rate of 3.2%, determine the amount in the account.round to the nearest cent. a. $187,159.62 b. $193,148.73 c. $129,082.99 d. $129,427.21
The amount in the ira's account s = $187,159.62.
How do you interest rate?
The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR).Future Value of an Ordinary Annuity
[tex]s = R(( 1 + i)^{n} - 1 ) / i[/tex]
where
S = the future value;
R = the periodic payment;
i = the interest rate per period;
n = the number of periods.
[tex]s = 5000 ( 1 + 0.032)^{25} - 1)/ 0.032[/tex]
[tex]s = 5000((1.032)^{25} - 1 )/0.032[/tex]
[tex]s = 5000( 2.19782157471 - 1)/0.032[/tex]
[tex]s = 5000(1.19782157471)/0.032[/tex]
[tex]s = 5000 * 37.4319242096[/tex]
s = $187,159.62
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Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. which shows the correct substitution of the values a, b, and c into the quadratic formula? quadratic formula: x = startfraction negative b plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction
Answer:
Step-by-step explanation:
0= x2 – 2x – 3
a = 1, b = -2 and c = -3.
Answer:
A on edge
Step-by-step explanation:
Give me the brainiest please
ratio and proportion
1. there are 24 green cars and 48 white cars in a parking lot.
i) find the ratio of green cars to white cars.
ii) what can you say about them?
Based on the given tast content; the ratio of green cars to white cars is 1 : 2 and it can be said that there are twice as many white cars as green cars.
Ratio and proportionNumber of green cars = 24Number of white cars = 48Ratio of green cars to white cars = 24 : 48
= 24 / 48
= 1 / 2
Ratio of green cars to white cars = 1 : 2
Therefore, the ratio of green cars to white cars is 1 : 2 and it can be said that there are twice as many white cars as green cars
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amplificar la siguientes fracciones con tal que de un numero igual al final las fracciones son:
a. 1/2, 3/4, 5/10, 9/20
b. 3/8, 1/15, 3/20, 9/10
c. 7/9, 1/3, 5/6, 3/4
d.3/12, 1/5 7/15 1/20
The arrangement of the fractions given from the lowest to the highest is illustrated
How to illustrate the information?a. 1/2, 3/4, 5/10, 9/20.
We can change this to percentages.
1/2 = 1/2 × 100 = 50%
3/4 = 3/4 × 100 = 75%
5/10 = 5/10 × 100 = 50%
9/20 = 9/20 × 100 = 45%
Therefore, the arrangement will be 9/20, 5/10, 1/2, and 3/4.
b. 3/8, 1/15, 3/20, 9/10
3/8 = 37.5%
1/15 = 6.67%
3/20 = 15%
9/10 = 90%
The arrangement will be 1/15, 3/20, 3/8, and 9/10.
c. 7/9, 1/3, 5/6, 3/4
7/9 = 77.7%
1/3 = 33.3%
5/6 = 82%
3/4 = 75%
The arrangement will be 1/3, 3/4, 7/9, and 5/6.
d.3/12, 1/5 7/15 1/20
3/12 = 25%
1/5 = 20%
7/15 = 48%
1/20 = 5%
The arrangement will be 1/20, 1/5, 3/12, and 7/15.
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What is the classification of AABC with vertices A(0, 0), B(4, 3), and C(4, -3) by
its sides?
(A) equilateral
(B) isosceles
(C) scalene
(D) right
Check the picture below.
well, let's take a peek at the distances of each side.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill AB=\sqrt{[ 4- 0]^2 + [ 3- 0]^2} \\\\\\ ~\hfill AB=\sqrt{25}\implies \boxed{AB=5} \\\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-3}) ~\hfill BC=\sqrt{[ 4- 4]^2 + [ -3- 3]^2} \\\\\\ ~\hfill BC=\sqrt{36}\implies \boxed{BC=6}[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad A(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) ~\hfill CA=\sqrt{[ 0- 4]^2 + [ 0- (-3)]^2} \\\\\\ ~\hfill CA=\sqrt{25}\implies \boxed{CA=5} \\\\\\ \textit{so it's an \underline{isosceles triangle}}[/tex]
Write two different integers x, y, and z, and meet the following conditions. they do not all have the same sign and x-y-z=0
Two different integers are the same numbers, which have different signs.
What is integers?An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97.
Given that,
x, y, and z are three integers. They follow the one condition: x-y-z = 0.
Any number in the number system that has only two signs, either + or -, So we consider that the third integer is 0 because 0 is a whole number that has neither a positive nor a negative sign.
The remaining two integers are the same numbers, but they have different signs to follow the given condition.
x-y-z = 0
x = y+z
Let y,z are the same numbers, They have different signs and x = 0.
Note: The value of x is always negative and y's value is always positive.
Example:
x = 0, y = +6, z = -6
x-y-z = 0
x = y+z
0 = +6-6
0 = 0
Hence, two different integers are the same numbers, which have different signs.
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what is the general form of the equation for the given circle?
The general equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the centre of the circle and [tex]r[/tex] is the radius.
Solving the QuestionFirst, we can determine the centre of the circle.
( _ , _ )
The point directly on top is (4,7). Because it lies on the same vertical line as the centre, they have the same x-coordinate.
(4, _ )
The point directly to the right of it is (7,4). Because it lies on the same horizontal line as the centre, they have the same y-coordinate.
(4,4)
Therefore, the centre of the circle is (4,4). Plug this into the general equation:
[tex](x-h)^2+(y-k)^2=r^2\\(x-4)^2+(y-4)^2=r^2[/tex]
Now, we can determine the radius of the circle.
To do this, we can calculate the distance between the centre of the circle and one of the given points that lie on the circumference.
The centre is (4,4), and one of the points is (4,7). Because they only have a difference of 3 units in the y-direction (and none in the x-direction), this means that the radius is 3 units. Plug this into the general equation:
[tex](x-4)^2+(y-4)^2=r^2\\(x-4)^2+(y-4)^2=3^2\\(x-4)^2+(y-4)^2=9[/tex]
Answer[tex](x-4)^2+(y-4)^2=9[/tex]
The height of water shooting from a fountain is modeled by the function f(x)= -4x^2 +24x -29 where access to distance from the spot in feet. complete the square to determine the maximum height of the path of the water.
By the use of the completing the square method, the maximum height of the path of the water 3 ±√29/4 + 9 m.
What is called distance?
Distance is a numerical measurement of how far apart objects or points are. The distance between two points is the length of the path connecting them.In everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over"). The distance from a point A to a point B is sometimes denoted as. .h = -4x² +24x -29
Now we have;
0 = -4x² +24x -29
-4x² +24x -29= 0
x² - 6x = -29/4
(x - 3)² = -29/4 + 3²
(x - 3)² = -29/4 + 9
x = 3 ±√29/4 + 9 m
Therefore, the maximum height of the path of the water x = 3 ±√29/4 + 9 m
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Can you solve and explain how to solve problems like these.
Step-by-step explanation:
there are some formulas to know about this.
I am sure you discussed this in class.
when 2 lines (originating from the same point) cut through the same circle creating some circle segments (such lines are also called Secants), then there is a relationship in the lengths of the different parts of the lines among themselves.
the outer portion of such a line multiplied with the length of the whole line to the second point it intersects the circle is the same for every secant from the same point through the same circle.
that means in our case :
7(x - 6) = 6(x - 3)
7x - 42 = 6x - 18
x = 24
and so,
EG = (x - 3) + 6 = (24 - 3) + 6 = 21 + 6 = 27
A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container 2/3 full. What fraction of the tea from a full teapot is needed to fill 1 entire container?
Answer:1/2 of the teapot
Step-by-step explanation: Since 1/3 of the teapot is equal to 2/3 of the container, 1/3 of the container is equal to half of 1/3 of the teapot. We know that 1/3 divided by 2 equals 1/6, so 1/6 of the teapot is equal to 1/3 of the container. There are 3-thirds in a whole so we have to multiply 1/6 by 3. This equals 3/6 or 1/2.
#14
quick answer pls :)
Answer:
35.56
Step-by-step explanation:
Adrian has a bag full of pebbles that all look about the same. he weighs some of the pebbles and finds that their weights are normally distributed, with a mean of 2.6 grams and a standard deviation of 0.4 grams. what percentage of the pebbles weigh more than 2.1 grams? round to the nearest whole percent.
89% of pebbles weigh more than 2.1 grams.
What is a percentage?
Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.Given,
Mean = 2.6
SD = 0.4
As we have to find the percentage of pebbles weighing more than 2.1, we have to find the z-score for 2.1 first.
[tex]z = \frac{x- mean}{SD}[/tex]
[tex]z = \frac{2.1 - 2.6}{0.4}[/tex]
[tex]z = -1.25[/tex]
Now we have to use the z-score table to find the percentage of pebbles weighing less than 2.1
So,
[tex]P ( x < 1.25 ) = 0.10565[/tex]
This gives us the probability of P(z<-1.25) or P(x<2.1)
To find the probability of pebbles weighing more than 2.1
[tex]P ( x > 2.1 ) = 1 - P( x < 2.1 ) = 1 - 0.10565 = 0.89435[/tex]
Converting into percentage
0.89435 × 100 = 89.435 %
Rounding off to nearest percent =89%
Therefore, 89% of pebbles weigh more than 2.1 grams.
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can someone help me please?
Answer:
the answer to the question is answer C
Answer:
Step-by-step explanation:
B is your answer
A man has eight shirts, four pairs of pants, and five pairs of shoes. How many different outfits are possible
Answer:
160
Step-by-step explanation:
I multiplied the amount of each item to get to the answer:
- 8 shirts
- 4 pairs of pants
- 5 pairs of shoes
8 x 4 x 5 = 32 x 5
32 x 5 = 160
hope this helps!
Small numbers that are added to avoid unfair scoring of low-probability outcomes are called ___.
Small numbers that are added to avoid unfair scoring of low-probability outcomes are called pseudocodes
How to complete the blank?From the statement, we have the following highlights:
The numbers are small numbers Adding the numbers is used to avoid unfair scoring of low-probability outcomesThe term for the statements in the above highlight is pseudocodes
This is because pseudocodes are false codes or small numbers
Hence, the small numbers that are added to avoid unfair scoring of low-probability outcomes are called pseudocodes
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Evaluate the expression under the given conditions. tan(2); cos() = 5 13 , in quadrant i
The solution to given expression tan(2θ) is 22.615°
For given question,
We have been given an expression tan(2θ)
Given that cos(θ) = 5/13, and θ is in quadrant 1.
We know that the trigonometric identity
sin²θ + cos²θ = 1
⇒ cos²θ = (5/13)²
⇒ sin²θ = 1 - 25/169
⇒ sin²θ = 169 - (25/169)
⇒ sin²θ = 144/169
⇒ sin(θ) = 12/13
We know that the identity cos(2x) = cos²x - sin²x
⇒ cos(2θ) = cos²θ - sin²θ
⇒ cos(2θ) = 25/169 - 144/169
⇒ cos(2θ) = -119/169
And sin(2x) = 2sin(x)cos(x)
⇒ sin(2θ) = 2sin(θ)cos(θ)
⇒ sin(2θ) = 2 × 12/13 × 5/13
⇒ sin(2θ) = 120/169
We know that, tan(x) = sin(x)/cos(x)
⇒ tan(2θ) = sin(2θ)/cos(2θ)
⇒ tan(2θ) = (120/169) / (-119/169)
⇒ tan(2θ) = 120 / (-119)
⇒ tan(2θ) = -1.008
Since θ is in quadrant 1, tan(2θ) = 1.008
⇒ 2θ = arctan(1.008)
⇒ 2θ = 45.23
⇒ θ = 22.615°
Therefore, the solution to given expression tan(2θ) is 22.615°
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In circle D, which is a secant?
EF
DC
Line segment A B
Line G H
The secant of circle D is the 'line GH'. Where the line segment EF is the diameter of the circle, line segment DC is the radius, and the ray AB is the tangent of the given circle.
What is the secant of the circle?The line that passes through the circle and touches the circle at two points is said to be a secant line of the circle.
Which is the secant line in the given circle D?The given circle D has a center at D.
The radius of the circle is given by the line segment CD
The diameter (or) the longest chord of the circle is given by the line segment EF
The ray AB passes touches the circle at point B, which is called the tangent of the circle.
Where the line GH passes through the circle and touches at two points. So, this line GH is said to be the secant of the circle.
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Disclaimer: The given question is incomplete(needs a diagram). Here is the required diagram attached.
Question: In circle D, which is a secant?
a) EF
b) DC
c) Line segment AB
d) Line GH
Answer:
ray ab
Step-by-step explanation:
Consider the steps to solve the equation. 2 5 ( 1 2 y + 20 ) − 4 5 = 9 20 (2y − 1)
Distribute: 1 5 y + 8 − 4 5 = 9 10 y − 9 20
What is the next step after using the distributive property?
*Use the multiplication property of equality to isolate the variable term on one side of the equation.
*Use the multiplication property of equality to isolate the constant on one side of the equation.
*Combine the like terms on the right side of the equation.
*Combine the like terms on the left side of the equation.
Answer:
D
Step-by-step explanation:
I did the assignment
hope this helps :)
I need to find the Value of x
Answer:
x = 4
Step-by-step explanation:
These triangles are similar by the AA Similarity Postulate.
12 + 4 = 16
(5x - 2)/12 = 6x/16 (3x/8)
Cross multiply: 8(5x - 2) = 12(3x)
40x - 16 = 36x
4x - 16 = 0
4x = 16
x = 4
For each of the number lines, write an absolute value equation that has the following solution set. 26 and m
On a number line, an absolute value equation that has the given solution set is |m - 4| = 2.
How to write the absolute value equation?By critically observing the given question, we can infer and logically deduce that the solution sets for this absolute value equation is given by:
m = {2, 6}
Next, we would calculate the mean of the solution sets as follows:
m₁ = (2 + 6)/2
m₁ = 8/2
m₁ = 4.
Also, we would calculate the difference in the solution sets as follows:
m₂ = (6 - 2)/2
m₂ = 4/2
m₂ = 2.
Mathematically, the absolute value equation is given by:
|m - m₁| - m₂ = 0
|m - 4| - 2 = 0
|m - 4| = 2.
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Let f(x) = xe−x if x ≥ 0 and f(x) = 0 if x < 0
Is f a probability density function?
Yes. [tex]f(x)[/tex] is a PDF if
• [tex]f(x) \ge 0[/tex] for all [tex]x[/tex] in the support; this is true, since [tex]e^{-x}>0[/tex] for all [tex]x[/tex], and multiplying a positive number [tex]x[/tex] doesn't change this fact;
• the integral of [tex]f(x)[/tex] over its support is 1; this is also true, since
[tex]\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1[/tex]
which can be computed by parts.
How many fruits did Anna get?
Answer: Anna got 30
Step-by-step explanation: 2x+3y=25
15+10=25
If the ice shop has only enough cocoa to make 4 gallons of chocolate ice cream, how many gallons of strawberry ice cream can the shop efficiently produce? 0 2 8 12
The complete questions is:
The ice cream shop needs 5 pounds of strawberries for every gallon of strawberry ice cream. the shop chooses to produce 4 gallons of chocolate ice cream. how many pounds of strawberries should the shop purchase?
Pounds of strawberry ice cream needed to be bought by the shop exists 20 pounds.
How many gallons of strawberry ice cream can the shop efficiently produce?The ice cream shop requires 5 pounds of strawberries for every gallon of strawberry ice cream and the shop chooses to make 4 gallons of ice cream,
Quantity of chocolate ice cream created in the shop = 4 gallons
Quantity of strawberries needed for each gallon of ice cream = 5 pounds
Pounds of strawberries needed to be bought by the shop = Quantity of chocolate ice cream created by the shop [tex]*[/tex] Quantity of strawberries needed for each gallon of ice cream
[tex]$= 4 * 5[/tex]
= 20 pounds.
Pounds of strawberries needed to be bought by the shop exists 20 pounds.
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Answer:
12
Step-by-step explanation:
Consider the function f(x) = 1/3(6)*. What is the value of the growth factor of the function?
1/3
2
6
18.
Answer:
6
Step-by-step explanation:
The growth factor is the same as the base of the exponential factor.
The value of the function [tex]$f(x)=(1/3)(6)^x[/tex] growth factor exists 6.
How to estimate the value of the growth factor of thefunction [tex]$f(x)=(1/3)(6)^x[/tex]?
Given: [tex]$f(x)=(1/3)(6)^x[/tex]
For any equation [tex]$ f(x)=ab^x[/tex]
Let, 'a' exists the initial value
b exists the growth or decay factor.
When the value of b exists greater than 1 then its growth factor
when the value of b exists between 0 and 1 then it exists a decay factor
Let x exists the number of years
Given function, [tex]$ f(x)=(1/3)(6)^x[/tex]
The value of b exists 6.
So the growth factor exists 6.
Therefore, the correct answer is option c. 6.
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What is the slope of the line that passes through the points (2, -4) and
(5,2)? Write your answer in simplest form.
Answer:
2
Step-by-step explanation:
Your slope is your change in y over your change in x. The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).
2 - (-4) would be your top number. To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.
Now, to find the bottom number, you subtract the x's.
5-2 which is 3.
We now have the top and the bottom number
6/3 which is the same as 2.
How do I write a comment on the data following the completion of the box plot
We can comment that the maximum value of the given data is 0.2, maximum value is 42. The interquartile range is 15 to 37, first and third quartile values are 15 and 37 respectively. It can also be inferred from the box plot that there are no outliers. The median of the given data, as shown in the box plot, is 28.
What is a box plot?
A box and whisker plot, often known as a box plot, shows a data set's five-number summary. A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box. The five-number summary of a box plot includes the following:
Minimum Value Maximum ValueFirst quartileThird quartileMedianIt also tells if there are any outliers in the data.
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VERY URGENT: Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school. There are 1,760 students at the school. Predict the number of students who usually walk to school.
Answer:
484 Students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
Help me ASAP mark you BRAINLIEST!!!!!!!!!!!
Answer:
11÷7=[tex]\frac{11}{7}[/tex]
v= 11/7
What is the probability that a class of 50 has an average midterm mark that is less than 75?
The probability that a class of 50 has an average midterm mark that is less than 75 is value=0
Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.
The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.
There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.
The probability that a class of 50 has an average midterm mark that is less than 75
n = 50
P(<75)=P(Z<75)
P(Z<75−786√50)
P(Z<−3.5355)
We will look for the value in the StandardNormal able. We will get the value=0
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