Answer:
Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.
Answer:
integration is the opposite of differentiation
Step-by-step explanation:
integration requires addition of 1 to the power and then division by the value eg
the integral of
[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]
while in differentiation, u subtract one and multiply by the value. eg
the differential of
[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]
Convert 70°F to Celsius using the following formula: °C = 5/9 (°F-32).
Round your ANSWER to the nearest degree.
Select one:
a. 126°C
b. 21°C
c. 158°C
d. 53°C
Answer:
21
Step-by-step explanation:
(use you calculator)
method of bidmas should be used
5/9 (70-32) substitute the F with 70
5/9 (38) calculate the brackets first
0.555 (38) next, calculate 5/9
0.555×38=21.09 or 21.1111... finally, multiply
hope this helps
The Circumference of Taylor’s bike tire is 72 inches what is the diameter of the tire used 3.14 for and round to the nearest whole number
Answer:
Step-by-step explanation:
Circumference=72
pi=3.14
Radius=C /2π
72/6.28=11.4649681529
Rounded to the whole would be 11
=11
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
a perpendicular line from a point on ab
Which comparison statements are true?
Answer:
Option B,option D and option F are the correct statements.
what is x- 2 1/2 = 6 3/4
Answer:
3 2/2
Step-by-step explanation:
Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30º as shown below. She knows that the height of the lighthouse is 50 meters.
How far is Jen from the base of the lighthouse, in meters?
The distance Jen is from the base of the lighthouse is 86.6 meters.
Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.
Let d represent the distance Jen is from the base of the lighthouse.
Using trigonometric ratios:
[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]
The distance Jen is from the base of the lighthouse is 86.6 meters.
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please help me with this sample question
Answer:
Step-by-step explanation:
100y = 70.707070707...
y = 0.707070707...
100y - y = 70
99y = 70
y = 70/99
so probably your answer should be A at 0.7071
PLEASE HELP!!!! Identify the mistake and use the correct answer to the problem!!!
Answer:
1 [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
the denominators must be the same so, since 4 goes evenly into 24 we can create an equivalent fraction from 3/4 to 18/24 (multiply numerator and denominator by 6)
now you can add:
[tex]\frac{15}{24}[/tex] + [tex]\frac{18}{24}[/tex] = [tex]\frac{(15+18)}{24}[/tex] = [tex]\frac{33}{24}[/tex]
since the numerator is larger than the denominator this is called an improper fraction and can be changed into a mixed number by dividing 24 into 33
24 goes into 33 one time with a remainder of 9
so 33/24 = 1 [tex]\frac{9}{24}[/tex] wherein 9 and 24 can each have a 3 factored out to make it fully simplified
9÷3 = 3
24÷3 = 8
final answer is 1 [tex]\frac{3}{8}[/tex]
Answer:
11/8 is the correct answer
Step-by-step explanation:
15/24 + 3/4
Reduce the fraction 15/24 to lowest terms by extracting and canceling out 3.
=5/8 +3/4
Least common multiple of 8 and 4 is 8. Convert 5/8 and 3/4 to fractions with denominator 8.
= 5/8 + 6/8
since 5/8 and 6/8 have the same denominator, add them by adding their numerators.
= 5 + 6/8
Add 5 and 6 to get 11.
=11/8
here is why 9/14 is wrong
Estimate 4 1/3 x 2 3/4
Answer:
11 11/12
Step-by-step explanation:
Answer:
≈ 12
Step-by-step explanation:
To estimate, we'll round these mixed numbers to the nearest whole number, then multiply. Let's start with 4 1/3. 4 1/3 is closest to 4, since 1/3 is smaller than 1/2. Then, we can look at 2 3/4. This mixed number is closest to 3, since 3/4 is greater than 1/2.
Now, the two numbers we have are 4 and 3. What is 4 × 3? Well, that's pretty simple - the answer is 12. So, 4 1/3 × 2 3/4 ≈ 12. Hopefully that's helpful! :)
Determine which graph shows y as a function of x.
I have to pick out of the photos I attached.
Answer:
I would say either pic 2 or four.
Step-by-step explanation:
Hopes This Helps
A skydiver's speed during a free fall
reaches 165 feet per second. What is the
speed in meters per second? At this
speed, how many meters will the
skydiver fall during 4 seconds after the
jump? Assume that 1 meter is equal to
3.3 feet.
Answer:
Below in bold.
Step-by-step explanation:
1. 165/3.3 = 50 meters/second.
2. In 4 seconds the skydiver will fall 4*50 = 200 meters.
Which of the following is not considered a buying incentive?
a coupon
b. display
C. prize
d. rebate
Please select the best answer from the choices provided
A
B
C
D
=============================================
Explanation:
A buying incentive is anything that encourages any potential customers to become actual customers. Ideally, those people are repeat customers down the road as well (even if such buying incentives are no longer in place).
If someone sees a coupon or a rebate, then they'll be more likely to buy the item since the price is lower. A coupon is an immediate discount right on the spot, whereas a rebate is when you get a discount later on. A rebate means you have to mail in proof of purchase, and the company will send money back. These are two ways to apply a discount.
A third way to entice customers is to offer prizes. An example of this is a "buy one get one" sale (often abbreviated as BOGO). The company may lose money doing this, but they do so in the hopes of gaining new customers. Plus word of mouth tends to spread more often when such sales occur.
With everything discussed so far, this allows us to rule out choices A, C and D. They are all some kind of way to encourage potential buyers. Choice B is the answer because a display simply shows the price and any other relevant info to the product. Displays are neutral in the sense that they don't encourage a purchase and rather just convey information. When I mention this, I'm not talking about displays that advertise discounts or coupons.
Please help. Will mark Brainliest
Which statements go in boxes 2 and 3?
What is the proof for boxes 3 and 4?
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help
if 3t+p = k then t is equal to what?
Answer:
Here is your answer hope I helped! <3
Step-by-step explanation:
t=k/3-p/3
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o
Answer:
13.6
Step-by-step explanation:
4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator
Answer:
C. A rate with one (1) in the denominator
A unit rate is basically a ratio of something to one.
example:
if 10 bananas costs ten dollars then one banana would cost one dollar.
Step-by-step explanation:
Answer:
A. A rate with one in the numerator
Step-by-step explanation:
We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Ted likes to run long distances. He can run 20 kilometers in 95 minutes. How far will Ted run in 285 minutes? (numeric only) *
[tex]\boxed{\boxed{\Large \text{Ted will run 60 kilometres in 285 minutes.}}}[/tex]
Step-by-step explanation:Using the distance-time-speed relationship:
[tex]\boxed{\Large \text{speed = $\frac{\rm distance}{\rm time}$}}[/tex]
[tex]\boxed{\Large \text{distance = speed $\times$ time}}[/tex]
[tex]\boxed{\Large \text{time = $\frac{\rm distance}{\rm speed}$}}[/tex]
so if Ted can run 20 kilometres (distance) in 95 minutes (time), then his speed = 20 ÷ 95 = 4/19 km/min.
Using this result, to calculate how far Ted will run in 285 minutes, we can say that distance = 4/19 × 285 = 60 kilometres.
∴ Ted will run 60 kilometres in 285 minutes.
[tex]\hrulefill[/tex]
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The two triangles are similar. Find the values of the unknown variables
Answer:
x = 84 y = 59°
Step-by-step explanation:
x = (40/30)×63
x = 84
∆ABC = ∆PQR
so y = 59°
Answer:
1.) 47
2.) 28
Step-by-step explanation:
you just had to use the sin equation for both
Which of the following expressions represents the expanded version of the expression
below?
7x (8x2 - 4y2 + 3y - 5)
O 15x3 - 11xy2 + 10xy - 12X
O 56x2 - 28xy2 + 21xy - 35x
O 56x3 - 4y2 + 3y - 5
© 56x3 - 28xy2 + 21xy - 35x
Answer:
4th option
Step-by-step explanation:
7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x
= 56x³ - 28xy² + 21xy - 35x
The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given expression,
7x (8x² - 4y² + 3y - 5)
Solve the equation by multiplying 7x with the bracket,
56x³ - 28xy² + 21xy - 35x
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help me to get 50 points
the ansewer is the third one
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
344 miles / 8 hours = 43 mph
17 hours * 43 mph = 731 miles
help me please please
Answer:
alr yeah i get it now
Step-by-step explanation:
its A 11/14
Answer:
[tex]\frac{11}{14}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]
Before adding er require the fractions to have the same denominators.
Multiply the numerator/ denominator of the first fraction by 2
= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]
=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex] ( now add numerators leaving the common denominator )
= [tex]\frac{4+7}{14}[/tex]
= [tex]\frac{11}{14}[/tex]
Kangaroo hops 2 kilometers in 3 minutes how long does it take the kangaroo to travel 5 kilometers
Answer:
7.5minutes
Step-by-step explanation:
If it travels 2kilometers every 3 min, that means it travels 2/3 kilometer per minute. Then divide 5 kilometers by 2/3kilometers/min, which gets you 7.5minutes
Helpppp mee pleaseeeee
Answer:
Step-by-step explanation:
Simplified this is 9 :)
yag cuts 75 degrees angle from a paper circle then he cuts out another section measuring 130 degrees ,what is the angle that is left ?
Answer:
155°
Step-by-step explanation:
We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.
f(x)=6(-x+3), what is the value of f(-1)
Replace x in the equation with -1 and solve:
6(-(-1) + 3)
Simplify the parentheses: 6(1 + 3)
Add inside the parentheses:
6(4)
Multiply
6 x 4 = 24
Answer : 24
Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
Whomever please
Find the perimeter of the triangle that has vertices at the points R(2,1), S (2,5), and T(4,
1). Round the answer to the nearest hundredth (2 decimal places).
A) 35.78
B) 32
C) 21.54
D)10.47
The perimeter of the triangle is 10.47 units
The distance between two points is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the points R(2,1), S (2,5), and T(4, 1). Hence:
[tex]RS=\sqrt{(5-1)^2+(2-2)^2}=4\ units[/tex]
[tex]RT=\sqrt{(1-1)^2+(4-2)^2}=2\ units\\\\ST=\sqrt{(4-2)^2+(1-5)^2}=4.47\ units[/tex]
The perimeter of the triangle = 4 + 2 + 4.47 = 10.47 units
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