35. Five cards are drawn from a deck. Find the probability of the specified event.
Obtaining at least one ace
Answer:
0.3412
Step-by-step explanation:
Please look at the photo for an explanation.
If the rectangle below is enlarged using a scale factor of 1.5, what will be the area of the new rectangle?
Answer:
31.5 square inches
Step-by-step explanation:
7 x 1.5 = 10.5
2 x 1.5 = 3
10.5 x 3 = 31.5
Integral Calculus Problem:
[tex]\int\limits^1_4 {\frac{cosx}{1+e^1/x} } \, dx[/tex] = _
- Do not spam
- Do not copy and paste
- Do not add any unnecessary information
- Any of these will result in a report
- Please help, thank you
Answer:
[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx \approx \boxed{0.862854}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]:
[tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Methods: U-Substitution and U-Solve
Special Integrals:
Sine Integral:Step-by-step explanation:
*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.
Step 1: Define
Identify given.
[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite:Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set u:Step 4: Integrate Pt. 3
[Integral] Apply Integration Method [U-Substitution]:Step 5: Integrate Pt. 4
Identify variables for u-substitution for the 1st integral.
Use another variable besides u to avoid confusion with earlier substitutions.
Set v:Step 6: Integrate Pt. 5
Solve the 1st integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int\limits^{x = 1}_{x = 4} {\cos (u - e)} \, du & = \int\limits^{x = 1}_{x = 4} {\cos v} \, dv \\& = \sin v \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (u - e) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin (x) \bigg| \limits^{x = 1}_{x = 4} \\& = \sin 1 - \sin 4\end{aligned}[/tex]
Step 7: Integrate Pt. 6
To solve the 2nd integral, we use the same methods as "Step 6":
[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \int\limits^{x = 1}_{x = 4} {\frac{\sin e \sin u + \cos e \cos u}{u}} \, du \\& = \sin e \int\limits^{x = 1}_{x = 4} {\frac{\sin u}{u}} \, du + \cos e \int\limits^{x = 1}_{x = 4} {\frac{\cos u}{u}} \, du \\& = \sin (e) \text{Si} (u) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (u) \bigg| \limits^{x = 1}_{x = 4} \\\end{aligned}[/tex]
[tex]\displaystyle\begin{aligned}\int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du & = \sin (e) \text{Si} (x + e) \bigg| \limits^{x = 1}_{x = 4} + \cos (e) \text{Ci} (x + e) \bigg| \limits^{x = 1}_{x = 4} \\& = \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) \bigg] + \bigg[ \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\\end{aligned}[/tex]
Step 8: Integrate Pt. 7
Combine our 2 integral values to obtain a final answer:
[tex]\displaystyle \int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^{x = 1}_{x = 4} {\cos ( u - e)} \, du - e \int\limits^{x = 1}_{x = 4} {\frac{\cos (u - e)}{u}} \, du \\\begin{aligned}& = \sin 1 - \sin 4 - e \bigg[ \sin (e) \text{Si} (1 + e) - \sin (e) \text{Si} (4 + e) + \cos (e) \text{Ci} (1 + e) - \cos (e) \text{Ci} (4 + e) \bigg] \\& \approx \boxed{0862854} \\\end{aligned}[/tex]
∴ we have evaluated the given special definite integral.
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Learn more about integration: https://brainly.com/question/27746472
Learn more about Calculus: https://brainly.com/question/27746481
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Topic: Calculus
I need help its due today lol
Answer:
7= 120 8= 175
Step-by-step explanation:
all you have to do is times the numbers
Answer: the answer to number 7 is 17 answer to number 8 is 24
Step-by-step explanation:
Use the pythagorean theorem
a^2 + b^2 = c^2
What is the area of the triangle?
keep in mind that the height or altitude of a triangle is the perpendicular distance from its base to the top. Check the picture below.
Answer:
multiply all of the numbers then divide by 0.5
Step-by-step explanation:
Sort the cards with there identical matches.
Answer:
A, C, E, L and G, H, B, D
Step-by-step explanation:
Find the slope of the following graph.
A.1/2
B.2
C.-2
D.-1/2
HEYAAAAAAAAAAAAA I NEED HELP
Data Set : {8, 2, 5, 0, 1, 9, 2, 5, 2}
Arrange in ascending order : {0, 1, 2, 2, 2, 5, 5, 8, 9}
Range = Last Term - First Term = 9 - 0 = 9 is the range
Mean = sum of terms/number of terms = 34/9 = 3.777... = 3.78 is mean
Mode = the most appearing integer in the set = 2 is the mode
Median = The integer at the middle of the set = 2 is the median
======================
Range = 9Mean = 3.78Mode = 2Median = 2Point J (3, -7) is dilated from the origin by a scale factor of 2. What are the coordinates of J'?
Please please help I need to get my work done ASAP!!
37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are in a row. In how many ways can the six people be seated?
48
1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2
3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4
5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6
6 x 4 x 2 = 48
OR 3 couples possible arrangements 3 x 2 x1 = 6
each couple 2 possible 2 x 2 x 2 = 8
therefore 6 x 8 = 48
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the table to answer the following questions.
Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
1. Find the constant of proportionality.
2. Use the constant of proportionality to write a unit rate for the data in the table.
3. Write an equation to represent the relationship between time, t, and distance, d.
Can you please do step by step showing us how you got the answers?
Answer:
1. Time (hours): 1 Distance (miles): 45
2. 1;45
2;90
3;135
4;180
5;225
6;270
3. (c= constant of proportionality)
c= [tex]\frac{distance}{time}[/tex]
c=[tex]\frac{90 miles}{2 hours}[/tex]
c= 45 miles per hour
Step-by-step explanation:
So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)
Which of the following numbers is prime?
12
15
7
6
Answer:
7
Step-by-step explanation:
A prime number is a number which has no factors other than itself and 1. In other words, this number can only be divided by itself and 1 and result in a whole number answer. All of the other choices can be divided by some other numbers and result in a whole number answer.
Factors of 12:
1, 2, 3, 4, 6, 12
Facotrs of 15:
1, 3, 5, 15
Facotrs of 7:
1, 7
Factors of 6:
1, 2, 3, 6
Answer:
The number (7) is a prime number.
What are prime and composite numbers?Prime numbers are such numbers that should have two factors, one and the number itself. An example of a prime number could be "2".Factors of 2: 1 and 2 (Verifies the above definition)
Composite numbers are such numbers that have more than two factors. An example of a composite number could be 4.Factors of 4: 1, 2 and 4 (Verifies the above definition)
Option AGiven number: 12
Let's list the factors of this number.
⇒ Factors of 12: 1, 2, 3, 4, 6, 12The number provided is not a prime number because the number has more than two factors. Therefore, Option A is not correct.
Option BGiven number: 15
Let's list the factors of this number.
⇒ Factors of 15: 1, 3, 5, 15The number provided is not a prime number because the number has more than two factors. Therefore, Option B is not correct.
Option CGiven number: 7
Let's list the factors of this number.
⇒ Factors of 7: 1 and 7The number provided is a prime number because the number has exactly two factors. Therefore, Option C is correct.
Option DGiven number: 6
Let's list the factors of this number.
⇒ Factors of 6: 1, 2, 3, and 6The number provided is not a prime number because the number has more than two factors. Therefore, Option D is not correct.
[tex]\overline{================================================}[/tex]
Learn more about Prime and Composite numbers:
https://brainly.com/question/123961 https://brainly.com/question/559568According to the frequency table, what is the mean of the score?
Round your answer to the nearest tenth.
A) 6.0
B) 6.1
C) 6.2
D) 6.3
The mean of the scores is approximately 6.2. The correct answer is (C).
What is arithmetic mean?The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.
Let's perform the calculations:
(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167
1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185
The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30
Now, we divide the sum (185) by the total frequency (30) to find the mean:
185 / 30 = 6.1667
Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.
Therefore, the answer is C) 6.2.
Learn more about Arithmetic means here:
brainly.com/question/13000783
#SPJ3
One thing we know for certain, much like the outrageous monsters we conjure in our worst nightmares, the deep ocean is an equally imaginative source of shock, awe, and outright fright.
What is the purpose of this sentence in the paragraph?
a
To connect two supporting ideas
b
To compare two unrelated creatures
c
To introduce a new topic and point
d
To summarize the main point of the article
Answer:
I think the answer is A but it is hard to know because I don't know what the passage is about.
Please help me with this I would give you 50 points.
Answer:
#1, x=57
#2, r=223
#3, h=17
#4, g=48
Step-by-step explanation:
I need help with this question! (20 POINTS)
Answer:
A (1,5) (1,8) (4,8) (4,5) = Square
B (2,5) (2,8) (4,8) (4,5) = Rectangle
C (2,3) (4,6) (8,6) (10,3) = Trapezoid
D (2,1) (2,5) (6,5) (6,1) = Square
Step-by-step explanation:
Just enter the coordinates into Desmos graphing calculator.
A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
more than 2.4 pounds but no more than 4.8 pounds
more than 2.4 pounds but no less than 4.8 pounds
at least 2.4 pounds but no more than 4.8 pounds
at least 2.4 pounds but less than 4.8 pounds
PLEAS HELP ME OUT!!!!!
17 is your answer
Because different between the x and 13 is equal to the 9 and 13 as shown in diagram
we can write equation
13-9 = x-13
4=x-13
x= 13+4 = 17 Ans
( Brainliest, 50 points. SERIOUS ANSWERS ONLY ) Help me with this question!
calculate the volume of the following figure
Answer:
24 units³
Step-by-step explanation:
Formula:
Volume (V) = length (l) × width (w) × height (h)
V=3×4×2=24 units³
Answer:
the answer should be 24 units^3 because the formula for finding volume is V= lwh so we need to multiply 2 times 3 and 4 and when we do that we get an answer of 24 so a is the correct answer and have a great day.
Step-by-step explanation:
A. Simplify: -12/2 =
2. -8/ -2 =
3. ( -3)(2)(-4) =
4. (4)(-3)(-6)(2)=
5. (1/2)(-6)(1/4)(-8) =
B. On your Own
a. Make 10 multiplication of integers with 3 terms each
b. Make 20 divisions of integers.
C. Use a calculator
The price of one share of Acme Company declined $2 per day for 4 days in a row. How much did the price of one share change in total after the 4 days?**Just write the negative or positive number (Example. -1 or 1)
its either -8 or 8 im not sure which good luck tho!
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 5 millimeters long, and the height of the equilateral triangle is 4.3 millimeters. The pyramid slant height is 7 millimeters. What is its surface area?
_____ Square Millimeters
Help!
Answer: I think it should be about 150.5 square mm
Step-by-step explanation:
I just multiplied all the dimensions you wrote...
By the way if its wrong please tell me so I can learn.
Thanks!
Brainliest! Help please, thank you!!!
Answer: 24
Step-by-step explanation:
12x2= 24
8x3=24
Answer:
24
8 × 3 = 2412 × 2 = 24Notice a pattern, the products are both 24. This means that 8 and 12 share an LCD of 24.
Answer this RIGHHT and you'll get Brainliest
Answer:
Circle is closed and Graph shaded to the left
Step-by-step explanation:
look at an model of a number line.
Hope this helps :)))))
CAN SOMEONE HELP ME ON THIS HOMEWORK
Answer: The answer to 2, 6, 12, 16 is 9 and the answer to 5, 6, 12, 13 is 9
Step-by-step explanation: The mean of a set of numbers is another term for average. You add all of the numbers up like for example in the second set of numbers, 16+12+6+2 is equal to 36 and you then divide that sum by the amount of numbers you added which in this case is 4 so you get 36/4 which is equal to 9.
Mean of 2, 6, 12, 16 = (2 + 6 + 12 + 16) ÷ 4 = 36 ÷ 4 = 9
Mean of 5, 6, 12, 13 = (5 + 6 + 12 + 13) ÷ 4 = 36 ÷ 4 = 9
Pls help me I dont understand giving brainliest if correct
Answer:6
Step-by-step explanation:
Heron's Formula is: area = sqrt(s(s-a)(s-b)(s-c)) and s is the semiperimeter
Putting the side lengths in would be:
s = (a + b + c)/2
area = sqrt(6(6-5)(6-4)(6-3)) = sqrt(6*1*2*3) = 3*sqrt(2)
So the answer is 3*sqrt(2) which is equal to 6
Answer:
6 units²
Step-by-step explanation:
You want the area of the 3-4-5 right triangle.
AreaThe area formula for a triangle is ...
A = 1/2bh
where b represents the "base" and h represents the "height". The height is always measured to the vertex opposite the base, in direction perpendicular to the base.
Right triangleThe perpendicular legs of a right triangle have the necessary relationship for either one to be considered the "base", and the other to be the "height."
Here, that means we can call the side of length 3 units the "base" and the side of length 4 units the "height", or vice versa.
This means the area is ...
A = 1/2(3 units)(4 units) = 6 units²
__
Additional comment
Heron's formula for the area of a triangle based on all three side lengths can be used for this, but is more work than necessary.
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Using a Graphing Utility to Find Polar CoordiNtes CoordiNtes In Exercises 61-70, use a graphing utility to find one set of polar coordiNtes of the point given in rectangular coordiNtes.
66. (5,-\sqrt{2})
Awnser is (r,0)=(2,8,0.49)
(5/2, 4/3)
Can you help with this question please
Answer: the answer is 175.84
Step-by-step explanation: TSA of cylinder= pir( r + h)
= 3.14 x 4 x ( 4 + 10 ) {here diameter is 8 so radius is it's half}
= 3.14 x 4 x 14
= 175.84
Answer:
by using the formula of 2×22/7×r (r+h)
5. Write an expression.
a. 2 less than s
c. 5 times the quantity y - 2
b. the quantity 7 + x, squared
d. the quotient of 4 and x²