Answer:
[tex]\displaystyle A = 300[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Constant CIntegration 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]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 6x + 19
Interval [12, 15]
Step 2: Find Area
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^{15}_{12} {(6x + 19)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^{15}_{12} {6x} \, dx + \int\limits^{15}_{12} {19} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = 6\int\limits^{15}_{12} {x} \, dx + 19\int\limits^{15}_{12} {} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = 6(\frac{x^2}{2}) \bigg| \limits^{15}_{12} + 19(x) \bigg| \limits^{15}_{12}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = 6(\frac{81}{2}) + 19(3)[/tex]Simplify: [tex]\displaystyle A = 300[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
The answer is 4,-3
Irfcdxsaacd d
Answer:
4,-3
Step-by-step explanation:
Divya is painting a room. She uses 34 gallon of paint to cover 15 of a wall. If the walls are all the same size, how much paint will she need to cover one wall?
Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?
Solve the equation. 2 + |t+ 6| = 12
Answer:
t = 4 or t = -16
Step-by-step explanation:
Let's solve your equation step-by-step.
2+|t+6|=12
|t+6|+2=12
Step 1: Add -2 to both sides.
|t+6|+2+−2=12+−2
|t+6|=10
Step 2: Solve Absolute Value.
|t+6|=10
We know eithert+6=10 or t+6=−10
t+6=10(Possibility 1)
t+6−6=10−6(Subtract 6 from both sides)
t=4
t+6=−10(Possibility 2)
t+6−6=−10−6(Subtract 6 from both sides)
t=−16
who do u guys think will win National League MVP if ur right u'll get brainlyest
Answer:
the national league
Step-by-step explanation:
evaluate -(2^-6)(2^3)
Answer:
-0.125
Step-by-step explanation:
Just had that question on SAT
Answer:- 0.125
Step-by-step explanation:
Pls help
Are they SSS or SAS??
Answer:
I think they are SAS but I'm not sure
could you please help me with a and b
You have to get a calculator online
-0.125 as a fraction
Answer:
-1/8
Step-by-step explanation.
125 x 8 = 1000
.125 x 8 = 1
-.125 x 8 = -1
-1/8
simplify. -2 3/4 -1 2/3
Answer:
-4 5/12
Step-by-step explanation:
-2 3/4 - 1 2/3
3/4*3/3= 9/12 2/3*4/4= 8/12
-2 9/12 - 1 8/12
-3 17/12
-4 5/12
26 points!! I’ll mark BRAINLIEST!!! And I need this ASAP!!! 4 - 4 (-4) = ?
Answer:
Answer is 20
Step-by-step explanation:
4-4(-4) is = 20!
Please mark me Brainliest!
Can u also help me with the question I just posted?
3 bananas cost $0.33. At this rate, how much do 5 bananas cost?
Wich equation best represents the relationship between x and y in the graph?
Answer:
sorry for wasting your time
need pionts
Answer:
y=3x+3
How I got it:
from the graph, you can tell that the slope is 3/1, or 3 by counting up 3 on a point, then over 1.
Slope = 3
then you can tell the y intercept is 3 by.. well looking at where the line intercepts the y axis.
Y intercept = 3
the slope-intercept formula is:
y=mx+b
m being the slope, b being the y intercept. now you just plug in what you know!
y=3x+3, which is the answer
factor of 48, factor of 32, The greatest number is stuffed animals you can have in a roll is?
Answer:
16
Step-by-step explanation:
how many grams in 1.7x 10^7 ug
Answer:
17 grams
Step-by-step explanation:
What is the solution to the system of equations graphed below
(2,-3)
(-3,2)
(-2,3)
(3,-2)
Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.
Step-by-step explanation: yay
A recipe uses 4 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons? Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?
Answer:
144 servings
Step-by-step explanation:
Step 1
We convert 3 gallons to cups
1 gallon = 16 cups
3 gallons = x cups
x = 3 × 16 cups
x = 48 cups
Step 2
If
4 cups of milk = 12 servings.
48 cups of milk = x servings
Cross Multiply
4 × x = 48 × 12
x = 48 × 12/4
x = 144 servings
Therefore, 3 gallons of milk(48 cups) = 144 servings
Someone pls help!!!???
Answer:
Its #3
Step-by-step explanation:
is one prime or composite?
It's neither prime or composite.
1 only has a single factor which is 1, so you can't really say.
One is a prime number because it can only be gotten in multiplication equation by using 1x1 to get 1! If it was 12 where multiple equations could get it like 3x4 then it would be composite!
Hope this helps, if not, comment below please!!!
Shelley reaches into a bag of candies and chooses one without peaking. 1 point
The bag holds 12 red, 23 orange, 15 green, and 10 yellow candies. What is
the probability that Shelley will select a green candy?
Answer:
probability of choosing a green candy is 1/4
HELP HELP PLS PLS PLS A class makes origami cubes. Each cube requires 6 sheets of paper. The class makes as many cubes as possible with 550 sheets of paper. How many more sheets of paper does the class need to make one more cube?
Answer:
2
Step-by-step explanation:
550 / 6 = 91 with a remainder of 4. They need 2 more to get to the required 6.
The number of sheets of paper the class need to make one more cube is 2.
Given that, a class makes origami cubes. Each cube requires 6 sheets of paper.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The class makes as many cubes as possible with 550 sheets of paper.
Here, 550/6
6|550|91
54
_____
10
6
_____
4
Remainder =4, so we need 2 more papers to make cube
Hence, the number of sheets of paper the class need to make one more cube is 2.
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what is the smallest sum of money that can be made up of exact number of 5 cent or of 25 cent pieces
292o2ox2927+8838_833873
Step-by-step explanation:
true or fales: a significant correlation indicates that changes in the values of one factie cause changes in the values of a second factor
Answer:
A significant correlation means that there is a significant (in a statistical point of view) correlation between two things.
Then a significant correlation means that we have a (measurable) correlation between the variables in our experiment.
Now, the factors are the variables that experimenters control during an experiment in order to determine their effect on the response variable, then having a positive correlation between two factors, means that when we change one, the other is also affected by the change in the first one.
Then the statement is true.
Which statement BEST describes how muscles respond to weight training? A. Weight training stretches the muscles' limits and makes the muscles longer. B. Weight training pushes the muscles' abilities, making the muscles gain endurance. C. Weight training stimulates the muscles and causes the muscle fibers to sit closer together. D. Weight training overloads muscles, which causes the body to respond by making muscle fibers larger. Please select the best answer from the choices provided. A B C D
Answer:B
Step-by-step explanation:
The statement that best describes how muscles respond to weight training is:
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
Option D is the correct answer.
What is weight training?Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.
This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.
We have,
Option A:
Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.
While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.
Option B
Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.
Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.
Option C:
Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.
While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.
Thus,
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
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Find the domain and range of the following set: {(1,3), (3,4), (2,8), (4,9), (-1,10)}
Answer:
domin 3,1 4,3 8,2 9,4 10,-1
write each ratio as a fraction in simplest form.
In one week, Latrina received 18 letters and 8 bills. What
was the ratio of bills to letters? help
Answer:
4 : 9
Step-by-step explanation:
18 letters and 8 bills
bills : letters = 8 : 18 = 4 : 9
how do I Factor 2x2+6x+4?
Answer: 2(x+2)(x+1)
Step-by-step explanation:
[tex]2(x^{2}+3x+2)\\2(x+2)(x+1)[/tex]
(03.07)
Solve x2 + 6x + 4 = 0. (1 point)
Answer:
x = -0.5
Step-by-step explanation:
h
6
= 7
h =
bruh pls help help help help help
Answer:
if its h+6=7 h is 1
Step-by-step explanation:
Please what is the answer of number 1
Answer:
-80
Step-by-step explanation:
First you multiply both sides of the equation by 5 to get rid of the fraction, it becomes Y + 30 = -50.
To get rid of the 30 you subtract 30 from each side and that makes it Y = -80.
Your answer does not want the Y=, so your answer is -80.
If this helps, please mark it Brainliest :)