Answer:
a. 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Integrals
Definite IntegralsIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration 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]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]
Step 2: Integrate
[Integrand] Distribute x [Distributive Property]: [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle 4(4) + 2[/tex]Evaluate: [tex]\displaystyle 18[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Which property of addition is shown in the equation below?
a+bi+0+0i = a + bi
commutative property
inverse property
identity property
associative property
Answer:
Step-by-step explanation:
is option a correct
The correct property of addition is shown in the equation is,
⇒ Identity property.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation is,
⇒ a + bi + 0 + 0i
Now, We know that;
Condition of identity property is,
⇒ a + 0 = a
Thus, The correct property of addition is shown in the equation is,
⇒ Identity property.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ5
its not 12 fyi oh btw question is in the picture btw this is middle school not high school
Answer:
6in^2
Step-by-step explanation:
formula of a triangle: l x h : 2
4 x 3 = 12
12 : 2 = 6^2
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagram. What is the perimeter of the sandbox?
Answer:
ay bru ima tell yu dhis rn is c
Step-by-step explanation:
CAN SB HELP ME !! Use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
x = 41 degrees
Step-by-step explanation:
Since two of the sides are shown as being congruent, the base angles are the same. We are given the top angle, which is 98 degrees. All the angles of a triangle add up to 180. We can subtract 98 from 180, giving us 82, and divide that by two (since the base angles are congruent), giving us a measure of 41 degrees for each of the bottom angles of the isosceles triangle.
[X + y] + 3w? Helpppppp
Answer:
x+y+3w
Step-by-step explanation:
8.
Out of total population of 50,000, only 28,000 read Newspaper and 23,000 read
magazines while 4,000 read both. How many of them do not read any paper ?
the answer is in the picture
A7. Charlie sells wristbands to earn extra money. She charges $7 per wristband for material and $2.00 per hour to make
unique gifts. How much would two wristbands cost together if one takes her an hour and a half to make one and two
hours to make the other one?
1.
Answer:
21
Step-by-step explanation:
(7x2)+(1.5x2)+(2x2)
Miast
Select the correct answer.
Which of the equations below represents a line parallel to the x-axis?
А.= 5
B.y = 1
C.y = 1
D.y = 5
Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.
Step-by-step explanation:
Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the y-axis at 'c'.
All equations in the option are of the form y = c
option A , (y=5)
option B , (y=1)
option C , (y=1)
option D, (y=5)
All are parallel to X-axis.
For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')
#Muhib
How do I find the m and b from number 1 and what would the area be for 2
Answer:
Step-by-step explanation:
compare with y=mx+b
m=-1
b=4
(b)
area of triangle=1/2×4×4=8 square units.
Find DE. A.4 B.5/3 C.7 D.11
Answer:
DE = 11
Step-by-step explanation:
DE = x + 7
EF = 7
DF = 4x + 2
DF = DE + EF (segment addition postulate)
Substitute
4x + 2 = x + 7 + 7
4x + 2 = x + 14
Collect like terms
4x - x = -2 + 14
3x = 12
Divide both sides by 3
x = 12/3
x = 4
✔️DE = x + 7
Plug in the value of x
DE = 4 + 7
DE = 11
When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
Answer:
X×Y×Z%/100
Step-by-step explanation:
using formula
si=p×t×r%/100
If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth
Answer:
5.0956537e-46
Step-by-step explanation:
^ means root
* means multiply
f(x) = ab^x
f(-1.5)=26 = ab^-1.5
f(5.5)=7 = ab^5.5
f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5
3.714 = b^7
b = 3.714^-7
f(-1.5)=26 = ab^-1.5
26 = ab^-1.5
26 = a * 3.714^-7
a = 3.714^-7 / 26
a = 0.00000394578
f(10) = ab^10
f(10) = 0.00000394578 * (3.714^-7)^10
f(10) = 5.0956537e-46
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at a rate of 3 cm/min, the height of the box is 5 cm, and the height is decreasing at a rate of 1 cm/min.
A.The volume of the box is decreasing at a rate of 200 cm3/min.
B.The volume of the box is increasing at a rate of 400 cm3/min.
C.The volume of the box is decreasing at a rate of 400 cm3/min.
D.The volume of the box is increasing at a rate of 200 cm3/min.
Answer:
aaaaa.List down 5 steps in creating 3d Model
digitally enhanced product design for a
paper bag.
1.__________________________________
2.__________________________________
3.__________________________________
4.__________________________________
5.__________________________________
Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30
2. 7/16 and 42/66
3. 13/70 and 39/200
4. 16/34 and 80/170
5. 11/12 and 66/72
6. 14/17 and 112/134
7. 2/3 and 120/190
8. 23/99 and 115/495
Mr. Tanaka is making Miso soup for his family. The recipe calls for 350 ml of Dashi. Mr. Tanaka plans to make a smaller batch using 280 ml of dashi. He wants to know what percent of the stock he will use compared to the original recipe. PLSS HELPPPPPPP Quick
Your organization has 20 employees who need an accounting software update installed. Due to a miscommunication, the purchaser only paid to update 10 licenses. The software company issued a paper license and a single key for updating 10 users. Since this is an enterprise paper license, there is no mechanism that enforces a limit to the number of times the key can be used, so you decide to go ahead and update all 20 users. What are the possible consequences of this decision? (Select TWO.)
Answer:
a. you risk losing your job
b. you expose your company to litigation by violating the software agreement.
Step-by-step explanation:
Doing this puts our job at a risk and it also exposes the company that you work for to litigation. Legally, there is an agreement that puts a limit to the total number of licenses that should be in use. When you use more licenses than you should, this could be regarded as theft. Normally the best thing that you should do is to ask purchasing that they make payments for another 10 licenses. It is very likely that this software company would know of this violation. as the users try to register this software, the software company could get knowledge of this. The activations are not to be shared.
Describe the error Sadie made, and explain how to find the correct answer.
Answer:
She could've factored further
Step-by-step explanation:
a^5 can be written as a^4*a
so the answer should've been 3a^3b*sqrt(6ab)
BRAINLIEST PLEASEEEEEEEEEEE
Answer:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
[tex] 3a^3b\sqrt{6ab} [/tex]
Step-by-step explanation:
She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).
Correct answer:
[tex] 3a^3b\sqrt{6ab} [/tex]
You invest $500 in an account that has a annual interest rate of 5%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded
Answer:
1.25% and 16 times
Step-by-step explanation:
Since the interest is compounded quarterly it will be compounded 4 times a year. So 4 x 4 is 16, so it will be compounded 16 times.
Then you have to divide the 5% by four to get how much will be compounded each quarter. So, (0.05 / 4) = 0.0125, which is 1.25%.
Answer:
1.25% and 16 times
Step-by-step explanation:
Three years ago, Daniel bought a baseball card for $20. The baseball card gains a value of $10 each year for the next three years. A friend offers to buy the baseball card foe twice the value, how much would the friend pay?
Answer:
The friend would pay $100
Step-by-step explanation:
The price of the card was $20 when Daniel bought it, it gained a value of $10 every year,
since Daniel bought it 3 years ago we will add $30 to $20 as the value increased by $10/year
so the price becomes $50, but his friend says he'll pay twice the value so,
$50×2= $100
There is a group of 15 people are ordering pizza. Each person wants 2 slices and each pizza has 10 slices. How many pizzas should they order?
Answer:
3 pizzas
Step-by-step explanation:
First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30
We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.
For each pizza, we can add 10 slices, as there are 10 slices of pizza.
For the first pizza, we have 10 slices
For the second, we have 10+10 = 20 slices
For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!
Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
What is the sum of x2 − 3x + 7 and 3x2 + 5x − 9
Answer:
4x²+2x-2
Step-by-step explanation:
x²-3x+7
+
3x²+5x-9
Answer:
4x² + 2x - 2
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x² - 3x + 7 + 3x² + 5x - 9
Step 2: Simplify
Combine like terms (x²): 4x² - 3x + 7 + 5x - 9Combine like terms (x): 4x² + 2x + 7 - 9Combine like terms: 4x² + 2x - 2What is the X and Y?
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
Still struggling with this.
Answer:
22
Step-by-step explanation:
You add up the value of each X and you get a final answer of 22. Have a great day!
given circle o, what are the values of x and y?
Answer:
x = 38°
y = 90°
Step-by-step explanation:
x is an inscribed angle, so, 78/2=39
y is an inscribed angle of which connects two endpoints of the diameter, so y = 90°
Answered by GAUTHMATH
An analyst estimates that a share price has an 80% probability of increasing if economic growth exceeds 3%, a 40% probability of increasing if economic growth is positive but less than 3%, and a 10% probability of increasing if economic growth is negative. If economic growth has a 25% probability of exceeding 3% and a 25% probability of being negative, what is the probability that the share price increases
Q2: 8,15,22,29,36,............ A sequence of numbers is shown above. a) Find the 10th term of the sequence. *
This is a required question
b) Find the nth term of the sequence. *
c) Which term of the sequence is equal to 260. *
Answer:
a) 71
b) an = a1 + (n-1)×7
c) the 37th term
Step-by-step explanation:
clearly, an+1 = an + 7
so, any new term is the previous term plus 7.
a1 = 8
and then the sequence goes on. starting with a2 we add 7 every time.
so, for an we added 7 n-1 times to a1. n-1 because for a1 we did not have to add 7.
therefore, the building function of this sequence to calculate the nth term is
an = a1 + (n-1)×7
a10 = a1 + 9×7 = 8 + 63 = 71
and
ax = 260 = a1 + (x-1)×7 = 8 + 7x - 7 = 1 + 7x
259 = 7x
x = 37
=> the 37th term of the sequence is 260
CAN SOMEONE PLEASE HELP ME!!
Answer:
29.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+7^2=11^2
a = h = 8.5
A= 1/2*b*h
A= 1/2*8.5*7
A=29.8