Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answers
Related Questions
What is the area of the triangle?
Answers
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:
I need help its due today lol
Answers
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
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!
Answers
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!
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
Answers
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:[tex]\displaystyle \int {\frac{\sin x}{x}} \, dx = \text{Si} (u) + C[/tex]Cosine Integral:
[tex]\displaystyle \int {\frac{\cos x}{x}} \, dx = \text{Ci} (u) + C[/tex]
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:[tex]\displaystyle \begin{aligned}\int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^1_4 {\frac{x \cos x}{x + e} \, dx \leftarrow \\\end{aligned}[/tex]
Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set u:[tex]\displaystyle u = x + e[/tex][u] Differentiate [Derivative Rules and Properties]:
[tex]\displaystyle du = dx[/tex]
Step 4: Integrate Pt. 3
[Integral] Apply Integration Method [U-Substitution]:[tex]\displaystyle \begin{aligned}\int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^1_4 {\frac{x \cos x}{x + e} \, dx \\& = \int\limits^{x = 1}_{x = 4} {\frac{(u - e) \cos (u - e)}{u} \, du \leftarrow \\\end{aligned}[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:
[tex]\displaystyle \begin{aligned}\int\limits^1_4 {\frac{\cos x}{1 + \frac{e}{x}}} \, dx & = \int\limits^1_4 {\frac{x \cos x}{x + e} \, dx \\& = \int\limits^{x = 1}_{x = 4} {\frac{(u - e) \cos (u - e)}{u} \, du \\ & = \int\limits^{x = 1}_{x = 4} {\cos ( u - e)} \, du - \int\limits^{x = 1}_{x = 4} {\frac{e \cos (u - e)}{u}} \, du \leftarrow \\\end{aligned}[/tex][2nd Integral] Rewrite [Integration Property - Multiplied Constant]:
[tex]\displaystyle \begin{aligned}\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 \leftarrow \\\end{aligned}[/tex]
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:[tex]\displaystyle v = u - e[/tex][v] Differentiate:
[tex]\displaystyle dv = du[/tex]
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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Topic: Calculus
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?
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)
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})
Answers
Awnser is (r,0)=(2,8,0.49)
(5/2, 4/3)
According 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
Answers
I hope this is right
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:
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Answer this RIGHHT and you'll get Brainliest
Answers
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 :)))))
Please help me with this I would give you 50 points.
Answers
Answer:
#1, x=57
#2, r=223
#3, h=17
#4, g=48
Step-by-step explanation:
If the rectangle below is enlarged using a scale factor of 1.5, what will be the area of the new rectangle?
Answers
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
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
Answers
b. (7+x)^2
c. 5y - 2
d. 4/x^2
c. 5(y-2)
b. (7+x)^2
d. 4/x^2
Find the slope of the following graph.
A.1/2
B.2
C.-2
D.-1/2
Answers
Which of the following numbers is prime?
12
15
7
6
Answers
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/559568Can you help with this question please
Answers
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)
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
Answers
#2- -4
#3- 24
#4- 144
#5- 6
Don’t know the rest sorry
-4
24
144
6
I only have time for those ): I hope this helps you pass!
Write and solve a proportion to answer the question. (Skills Review Handbook) 22. 30 is 15% of what number?
Answers
Answer:
The answer is 148.6666667
Step-by-step explanation:
1) Set a linear quation
[tex] \frac{22.30}{x} = \frac{15}{100} [/tex]
2) Cross multiply
[tex]15x = 22.30 \times 100[/tex]
3) Multiple the right side
[tex]15x = 2230[/tex]
4) Divide both side by 15
[tex] \frac{15x}{15} = \frac{2230}{15} [/tex]
5) Solve the linear equation
[tex]x = 148.6666667[/tex]
Help please this is due today!!!!!!!!!!!!!!!!! I would give it a 5 star and thanks for it.
The office building where Ryan works is made up of two cube-shaped pieces. At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the volume of the smaller part is 4000 m³, what is the distance around the edge of the building?
Answers
Answer:
At lunchtime, Ryan and his other office workers walk around the edge of the building for exercise. If the volume of the larger part is 65,000 m³and the ...
Step-by-step explanation:
CAN SOMEONE HELP ME ON THIS HOMEWORK
Answers
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
Select all the values below that you can find or calculate when given only a dot plot
1.) mean
2.) median
3.) range
4.) IQR
5.) outliers
Answers
Hope it helps
PLEAS HELP ME OUT!!!!!
Answers
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
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
Answers
35. Five cards are drawn from a deck. Find the probability of the specified event.
Obtaining at least one ace
Answers
Answer:
0.3412
Step-by-step explanation:
Please look at the photo for an explanation.
Point 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!!
Answers
3 x 2 = 6
-7 x 2 = -14
So, the coordinates of J are (6,-14)
Hope this helped! :)
I need help with this question! (20 POINTS)
Answers
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.
Brainliest! Help please, thank you!!!
Answers
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.
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
Answers
Answer:
I think the answer is A but it is hard to know because I don't know what the passage is about.
( Brainliest, 50 points. SERIOUS ANSWERS ONLY ) Help me with this question!
Answers
HEYAAAAAAAAAAAAA I NEED HELP
Answers
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 = 2Mean: Add up all the numbers and divide by the amount of numbers. 8+2+0+1+9+2+5+2= 29 then divide by 9 = 3.22 therefore the mean is 3.22.
Mode: Number that appears the most frequent. There can be multiple. In this case the mode is 2.
Median: The middle number. First order from lowest to highest: 0,1,2,2,2,5,8,9. In this case the median is 2 and 2. So we simply add 2+2 which equals 4 and divide it by 2. Therefore the median is 2. Hope this helped!!
Pls help me I dont understand giving brainliest if correct
Answers
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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Sort the cards with there identical matches.
Answers
Answer:
A, C, E, L and G, H, B, D
Step-by-step explanation: