Answer:
The area of the biggest circle is 254.47
Step-by-step explanation:
9 times 3.14 = 254.47
Step-by-step explanation:
Diameter of large = 12+6 = 18cm
A = πr^2
A= 254.47 cm^2
Let M (a, b) be a point on the graph of the curve y = e6¹ - 8x² +1 where the curve changes from concave downward to concave upward. Find the value of b.
The point M has coordinates (-0.225, 3.364), and the value of b is approximately 3.364.
We need to find the point M(a, b) on the graph of the curve y = e^(6x) - 8x^2 + 1 where the curve changes from concave downward to concave upward.
To determine the concavity of the curve, we take the second derivative of y with respect to x:
y'' = (d²/dx²) (e^(6x) - 8x^2 + 1)
y'' = 36e^(6x) - 16
The concavity changes from downward to upward when y'' = 0, so we set the equation equal to zero and solve for x:
36e^(6x) - 16 = 0
e^(6x) = 4/9
6x = ln(4/9)
x = ln(4/9)/6 ≈ -0.225
So the point M(a, b) is on the graph at x = -0.225. We can find b by substituting x into the equation for y:
y = e^(6x) - 8x^2 + 1
y = e^(6(-0.225)) - 8(-0.225)^2 + 1
y ≈ 3.364
Therefore, the point M has coordinates (-0.225, 3.364), and the value of b is approximately 3.364.
Learn more about value from
https://brainly.com/question/24305645
#SPJ11
On a highway a wreck occurred and caused a 8 mile
traffic jam on one side of the road. The average car is
13.5 feet in length and the average truck is 20 feet in
length. 75% of the traffic jam consists of cars and 25% of
trucks. If the average distance between vehicles is 3 feet,
how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
Find the value of x
X=2
X=3
X=33
X=52
Answer:
b x=3
Step-by-step explanation:
Can someone explain pls I don’t understand how to do it lol
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?] cm3
Answer:
189cm^3
Step-by-step explanation:
First, we need to find the formula of "how to find the volume of any prism":
length * width *height
* = multiply
So that means we need to do:
7cm * 9cm * 3cm
= 189cm^3
^ = exponent
Hope this helped :)
Find m in 9m+4c=2(a+3m)
The value of m can be found in the expression 9m+4c=2(a+3m) as ( 2a - 4c)/3.
How can the value of m be determined?From the question we were given the expression 9m+4c=2(a+3m), and find a we will need to perform some simplification as
9m+4c=2(a+3m),
open the bracket as :
9m+4c=2a+6m
Then we can collect the like terms which is
9m -6m =2a -4c
then we can factorize as :
3m = 2a - 4c
make the m the subject of the formula as :
m = ( 2a - 4c)/3
Read more about expression at:
https://brainly.com/question/723406
#SPJ1
Alice has x dollars per week available for lunch she spends $3 on lunch every weekend write an algebraic expression to represent how much money she had left over at the end of the week 
The algebraic expression to represent how much money she had left over at the end of the week is x - 6.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given,
Total amount of money Alice has per week = x dollars
She spend $3 on lunch every weekend.
In a week, number of weekends = 2
Amount of money spent on weekends = 2 × $3 = $6
Money left = x - 6
Hence the money left is given by the expression x - 6.
Learn more about Algebraic Expressions here :
https://brainly.com/question/19245500
#SPJ1
pleasseeee helppppppp
Funky Fro-Yo
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in
the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes
you can fill your cup with yogurt and toppings for $0.40 per ounce.
1. Write an equation that gives the total cost in dollars, d, of attending the event if you
order z ounces of fro-yo.
2. If your cup weighs 14 ounces, how much would you pay in total for the evening?
1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z
2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.
Define equation.A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.
Given,
The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.
1) Total cost = d
Total ounces = z
Equation
d = $5 + $0.40z
2) If cup weighs 14 ounces
d = $5 + 0.40(14)
d = $5 + $5.6
Total cost:
d = $10.6
To learn more about equation, visit:
https://brainly.com/question/10413253
#SPJ1
2 1 2.)(2pts) Consider the matrix A= 0 2 -2 0 Find a Jordan matrix J and an invertible matrix Q such that A=QJQ-1.
Answer:
The Jordan matrix J and the invertible matrix Q for A = 0 2 -2 0 are:
J = (1 + √5) 0 0 0
0 (1 + √5) 0 0
0 0 (1 - √5) 1
0 0 0 (1 - √5)
Q = (1 - √5/2) (1 + √5/2) √5/2 -√5/2
√5/2 √5/2 1/2 -1/2
1 - √5/2 1 + √5/2 √5/2 -√5/2
-√5/2 -√5/2 1/2 -1/2
Step-by-step explanation:
To find the Jordan matrix J and the invertible matrix Q such that A = QJQ^(-1), we need to find the eigenvalues and eigenvectors of matrix A.
First, let's find the eigenvalues of A by solving the characteristic equation:
det(A - λI) = 0,
where λ is the eigenvalue and I is the identity matrix.
A - λI = 0 2 - λ
-2 0 - λ
Taking the determinant:
(2 - λ)(-λ) - (-2)(-2) = 0,
λ^2 - 2λ - 4 = 0.
Solving the quadratic equation, we find two eigenvalues:
λ_1 = 1 + √5,
λ_2 = 1 - √5.
Next, we find the eigenvectors corresponding to each eigenvalue. Let's start with λ_1 = 1 + √5.
For λ_1 = 1 + √5, we solve the system (A - λ_1I)v = 0, where v is the eigenvector.
(A - λ_1I)v = 0 2 - (1 + √5) -2
-2 - (1 + √5)
Simplifying:
(√5 - 1)v₁ - 2v₂ = 0,
-2v₁ + (-√5 - 1)v₂ = 0.
From the first equation, we get v₁ = (2/√5 - 2)v₂.
Taking v₂ as a free parameter, we choose v₂ = √5/2 to simplify the solution. This gives v₁ = 1 - √5/2.
Therefore, the eigenvector corresponding to λ_1 = 1 + √5 is v₁ = 1 - √5/2 and v₂ = √5/2.
Next, we find the eigenvector for λ_2 = 1 - √5. Following a similar process as above, we find the eigenvector v₃ = 1 + √5/2 and v₄ = -√5/2.
Now, we can form the Jordan matrix J using the eigenvalues and the corresponding eigenvectors:
J = λ₁ 0 0 0
0 λ₁ 0 0
0 0 λ₂ 1
0 0 0 λ₂
Substituting the values, we have:
J = (1 + √5) 0 0 0
0 (1 + √5) 0 0
0 0 (1 - √5) 1
0 0 0 (1 - √5)
Finally, we need to find the invertible matrix Q. The columns of Q are the eigenvectors corresponding to the eigenvalues.
Q = v₁ v₃ v₂ v₄
Substituting the values, we have:
Q = (1 - √5/2) (1 + √5/2) √5/2 -√5/2
√5/2 √5/2 1/2 -1/2
1 - √5/2 1 + √5/2 √5/2 -√5/2
-√5/2
-√5/2 1/2 -1/2
Therefore, the Jordan matrix J and the invertible matrix Q for A = 0 2 -2 0 are:
J = (1 + √5) 0 0 0
0 (1 + √5) 0 0
0 0 (1 - √5) 1
0 0 0 (1 - √5)
Q = (1 - √5/2) (1 + √5/2) √5/2 -√5/2
√5/2 √5/2 1/2 -1/2
1 - √5/2 1 + √5/2 √5/2 -√5/2
-√5/2 -√5/2 1/2 -1/2
Learn more about matrix:https://brainly.com/question/7437866
#SPJ11
For what values of x is x2 + 2x = 24 true?
–6 and –4
–4 and 6
4 and –6
6 and 4
Answer:
Option C
x²+ 2x -24=0
x²+6x-4x-24= 0
x(x+6) -4(x+6) = 0
(x+6)(x-4) = 0
x= -6 and 4
Therefore, for x = 4 and -6 , the above given equation is true.
If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
Answer: What is the same number of miles each hour?
Step-by-step explanation: Now with that, what ever your miles each hour is multiply it by 4. Hope this helps!
-18 (-3) answer explain
Answer:
54
Step-by-step explanation:
18(3) = 18+18+18 = 54
But remember that we have two negatives
When you multiply two negative numbers, they become positive, therefore your answer is 54
a. In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. What action(s) should be taken with an outlier?
Choose the best answer below.
A. Outliers are the minimum and maximum values observed in a data set. They should be treated as any other value, as the term "outliers" is just another
B. Outliers are observed values far from the main group of data. In a histogram they are separated frorm the others by space. Outliers should be ignored name for the minimum and maximum. because they can distort any calculations done and are not representative of typical values closer context to know how to treat them. If they are mistakes, they might be removed or corrected. If they are not mistakes, you might do the analysis
C. Outliers are observed values far from the main group of data. In a histogram they are separated from the others by space. Outliers must be looked at în twice, once with and once without the outliers.
D. Outilers are observations that are more than 1 5 interquantle anges from the median in a data set They should be looked at in closer context to determine how to treat the values. Sometimes they may be included, but sometimes they are discarde
b. Which measure of the center (mean or median) is more resistant to outliers, and what does "resistant to outliers" mean?
Choose the best answer below.
A. The median is more resistant, which indicates that it usually changes less than the mean when comparing data with and without outliers
B. The median is more resistant, which indicates that neither the number nor the magnitude of outlers has any effect on the calculated value ofthe median
C. The mean is more resistant, which indicates that it is easier to calculate when there are outliers present than the median is.
D. The mean is more resistant, which indicates that it usually changes less than the median when comparing data with and without outliers
a. Outliers are observed values far from the main group of data.
In a histogram they are separated from the others by space.
Outliers must be looked at twice, once with and once without the outliers. C.
b. The median is more resistant, which indicates that it usually changes less than the mean when comparing data with and without outliers. A.
Outliers are data points that are significantly different from the other values in a data set.
These observations can be identified by looking at a histogram, where they are separated from the main group of data by a significant space.
Outliers can be mistakes or they may represent real but unusual values.
It is important to look at outliers in closer context to determine how to treat them.
Sometimes they may be included in the analysis, but other times they may be removed or corrected.
To determine which measure of center, mean or median, is more resistant to outliers, we need to understand what "resistant to outliers" means.
Resistance to outliers refers to how much a measure of center is affected by the presence of outliers.
A measure that is more resistant to outliers will change less when outliers are present.
The median is more resistant to outliers than the mean.
This means that the median usually changes less than the mean when comparing data with and without outliers.
The reason for this is that the median is calculated by taking the middle value of the data set, which is less affected by extreme values than the mean, which takes into account all values in the data set.
Outliers should be examined carefully in the context of the data set to determine how to treat them.
The median is more resistant to outliers than the mean, which makes it a better measure of center when outliers are present.
For similar questions on Outliers
https://brainly.com/question/29546240
#SPJ11
Really need help figuring this out
Answer: x=18, R=20 degrees,
sin Q=3/5
cos Q=4/5
tan Q=3/4
sec Q=5/4
csc Q=5/3
cot Q=4/3
Step-by-step explanation:
Distance formula: a^2+b^2=c^2
30^2=24^2+x^2
900=576+x^2
x^2=324
x=18
180=P+Q+R
180=90+70+R
180=160+R
R=20 degrees
sin Q=18/30=3/5
cos Q=24/30=4/5
tan Q=18/24=3/4
sec Q=30/24=5/4
csc Q=30/18=5/3
cot Q=24/18=4/3
Samuel needs 332 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?
Answer:
23 and 45
Step-by-step explanation:
This is really just a simple division question. All we have to do to solve the first half is divide 332 by 15:
\(332 / 15 = 22.133333333\)
We'll want to round that up to 23, because it seems they're asking for integers here.
For the next part of the question, all we have to do is double the result of the last operation and round that number up as well:
\(22.13333333 *2 = 44.2666667\)
Which rounded gives us 45.
Hope this helps!
Answer:
Samuel will need 23 pieces of wood.
Theresa will need 46 pieces of wood.
Step-by-step explanation:
To find how many total pieces Samuel will need, we have to divide 332 feet into 15, since each piece of wood is equivalent to 15 feet:
\(332\) ÷ \(15=22.1333\)
Samuel can't have a portion of wood, the wood pieces he has must be represented as a whole number. We have to round up to 23 pieces of wood.
Samuel will need 23 pieces of wood to build his fence.
_
If Theresa needs twice as many feet as wood, we have to multiply Samuel's pieces of wood by its length (15 feet):
\(23\) × \(15=345\)
Multiply \(345\) by 2:
\(345\) × \(2=690\)
Now, divide \(690\) by \(15\):
\(690\) ÷ \(15\)
\(=46\)
Theresa will need 46 pieces of wood.
I need help with this problem
Answer:
in this case you can use protector also but
there is another way
Step-by-step explanation:
as we know sum of a triangle is 180 degree
so let's D= 2x,x
35+x+2x=180
3x+35=180
3x=180-35
3x=145
x=145÷3
x =46.06
Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
student's work is correct and why?
Grace
Chelsea
3(2 - x) - 2(6x - 8)
= 6 - 3x – 12x + 16
3(2 - x) – 2(6x – 8)
= 6 - 3x – 12x - 16
Roan
3(2 - x) - 2(6x - 8)
= 6 - 3x + 12x - 16
= -3x - 12x + 16 + 6
= -3x – 12x – 16 + 6
= -3x + 12x – 16 + 6
= -15x + 22
= -15x – 10
= 9x - 10
Answer:
Hey there!
3(2 - x) - 2(6x - 8)
6-3x-12x+16
6-15x+16
-15x+22
Hope this helps :)
Answer:
Grace is correct. The other two made mistakes while distributing the negative sign. Chelsea failed to distribute the negative sign to the second term of the second expression. Roan failed to distribute the negative sign to both terms of the second expression.
From 70.8 minutes to 90 minutes.
70.8 mins - 90 mins = 19.2 minutes
The base of a square fountain has an area of 144 ft2. What length of fence is needed to create a border for the fountain?
Answer:
48
Step-by-step explanation:
Area of a square = length of side squared
square root of 144 is 12
four equal sides in a square
12 * 4 = 48
Give the required elements of the hyperbola.
y²/9 - x²/4 =1
The hyperbola opens:
Horizontally
Vertically
Answer:
Virtically
Step-by-step explanation:The lines below are vertically
2. 1
—. —
3 - 2
Think carefully???
Answer:
my head hurts now -.-
Step-by-step explanation:
Hugo averages 22 points per basketball game with a standard deviation of 4 points, Suppose Hugo's points per basketball game are normally distributed Let X -the number of points per basketball game. Then XN(22,4). Pravide your answer below: Suppose Hugo scores 7 points in the game on Sunday. The z-score when x-7 rs□ The mean is this z-score tells you that x:7 įs□ standard deviations to the left of the mean
The z-score when x = 7 is approximately -3.75. This means that 7 is 3.75 standard deviations to the left of the mean.
To find the z-score when x = 7, we can use the formula:
z = (x - μ) / σ
where x is the value (7 in this case), μ is the mean (22 in this case), and σ is the standard deviation (4 in this case).
Substituting the given values:
z = (7 - 22) / 4
z ≈ -3.75
So, the z-score when x = 7 is approximately -3.75. This means that 7 is 3.75 standard deviations to the left of the mean.
Please note that the mean is 22, as stated in the problem.
Visit here to learn more about standard deviations brainly.com/question/29115611
#SPJ11
HELP I DONT GET THIS!!Add.
(6d²+3d)+(7d+3)
Answer:
the answer is...
Step-by-step explanation:
6d^2 + 10d + 21
Non Examples of table graph
Answer:
i didnt get u what do u want that i should explain u
Solve the following equation:9-6x=3
We are given that,
9 - 6x = 3
In this equation, we have to find the value of 'x'. '
It can be calculated by separating the values of x at one side and constants at the other side.
Therefore, we can re-write this equation as:
9 - 6x = 3
or
- 6x = 3 - 9
-6x = -12
Multiplying both sides by (-1), we get
-1 * (-6x) = -1 * -12
6x = 12
x = 12/6
or
x = 2
Hence, the value of x would be 2.
650 divided by 3/2 (With the full explanation)
Answer:
Multiply the numerator by the reciprocal of the denominator to get 650 x 2 divided by 3. Then, multiple 650 and 2 which is 1300, then it is 1300 over 3, or 433.3, and it is repeating.
Step-by-step explanation:
By the concept of division by a fraction, 650 divided by 3/2 will result in \(433 \frac{1}{3}\).
We have to solve 650 divided by 3/2.
Mathematically, it can be expressed as:
650 ÷ \(\frac{3}{2}\) -----(1)
To solve the above expression, at first we can apply the concept of dividing by a fraction. Which say that:
dividing by a fraction = multiplying by the reciprocal of the fraction
And the reciprocal of any fraction is simply the ratio of denominator and numerator.
So, the reciprocal of \(\frac{3}{2}\) is \(\frac{2}{3}\) .
Then, expression (1) will be equivalent to
\(650 \div \frac{3}{2} = 650 \times \frac{2}{3}\) ------(2)
That means we have to multiply 650 and fraction 2/3.
To get the multiplication of two fractions, we multiply the numerators together and the denominators together.
\(650 \times \frac{2}{3} = \frac{650\times 2}{3}\)
\(650 \times \frac{2}{3} = \frac{1300}{3}\)
\(650 \times \frac{2}{3} = \frac{1300}{3}\)
\(650 \times \frac{2}{3} = 433 \frac{1}{3}\)
Thus, from equation (2)
\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)
Hence, 650 divided by 3/2 is:
\(650 \div \frac{3}{2} = 433 \frac{1}{3}\)
Learn more about division by fractions here:
https://brainly.com/question/12318185
#SPJ6
4. explain the distinction between total and partial constraints. provide an example for each constraint.
Total constraints are restrictions on the variables of a system that must be satisfied in order for the system to be valid.
An example of a total constraint is the equation x + y = 5, which states that the sum of two variables must equal 5 in order for the equation to be valid.
Partial constraints are restrictions on the variables of a system that, while not always required to be satisfied, can help to limit the scope of a problem.
An example of a partial constraint is the inequality x ≥ 3, which states that the variable x must be at least 3 in order for the equation to be valid. However, this does not mean that x must always be 3 or more; it just sets a minimum bound for the variable.
For more questions like Partial constraints visit the link below:
https://brainly.com/question/28586449
#SPJ4
HELP PLEASE
in the circle o shown diameter AOB is perpendicular to chord CD. if CD =8 and BE =2 then
a) find the length of AE
b) find the exact area of circle o in terms of pi
Answer:45
Step-by-step explanation:
Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ
O D. YZ
SUBMIT
please help
None of the options are correct. And the given triangle is a right-angle triangle.
Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,
Thus, None of the options are correct. And the given triangle is a right-angle triangle.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
You flip a fair coin. What is the probability that it shows head on
the first flip and shows tail on the second flip?
Is it dependent or independent event?
Answer:
25%
Independent evemt
Step-by-step explanation:
The posibility of it shows head on the first flip is 50%
The posibility of it shows tail on the second flip is 50%
=> The posibility of it shows head on the first flip and shows tail on the second flip is:
0.5 × 0.5 = 0.25 = 25%
Two events are independent because the result on the first flip doesn't affect the second one.