Answer:
There is a slight difference but the result is the same.
In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.
In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.
Both notations mean ‘the function which is the differential of function y by x
Can someone help! I know the answer I just need step by step!
Answer:
[tex]4 \sqrt{2}[/tex]
Step-by-step explanation:
Rewrite 32 as the product of 16 and 2:
[tex]\implies \sqrt{32}=\sqrt{16 \cdot 2[/tex]
Apply exponent rule [tex]\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}[/tex]
Rewrite 16 as 4²:
[tex]\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}[/tex]
Apply exponent rule [tex]\sqrt{a^2}=a[/tex]
[tex]\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}[/tex]
Answer:
4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{32}[/tex]
= [tex]\sqrt{16(2)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{2}[/tex]
= 4[tex]\sqrt{2}[/tex]
4. Sally earns $1,300 a week in gross income. What is Sally's gross income for 1 year? (years have
52 weeks in them...)
Answer:
67600
Step-by-step explanation:
1300x52=67600
Answer:
$67,600
Step-by-step explanation:
1300 x 52 = 67600
Write the ratio 12:16:8 in simplest form
Answer:
[tex]\huge\boxed{\bf\: 3:4:2}[/tex]
Step-by-step explanation:
In the given ratio, [tex]12:16:8[/tex], we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.
Now, let's divide the 3 numbers by 4.
[tex]12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}[/tex]
This ratio cannot be further simplified as they don't have any common multiples except for 1.
So, the simplified ratio = [tex]\boxed{\bf\: 3:4:2}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Rachel found that 20 out of 48 cars that entered a parking lot were red. What is the experimental probability that the next car that comes in is red? What is the experimental probability that the next car that comes in is not red?
In the observation of Rachel the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
What is experimental probability?Experimental probability of an event is the ratio of number of favorable outcome which appeared while conducting an event to the total number of outcome of that event is occurred.
Rachel found that 20 out of 48 cars that entered a parking lot were red. In this observation, the probability of a car to be red is,
[tex]P=\dfrac{20}{48}\\P=\dfrac{5}{12}[/tex]
Thus, the experimental probability that the next car that comes in is red is 5/12.
The experimental probability that the next car that comes in is not red is,
[tex]P^{-1}=1-\dfrac{5}{12}\\P^{-1}=\dfrac{12-5}{12}\\P^{-1}=\dfrac{7}{12}[/tex]
Hence, In the observation of Rachel, the experimental probability of the next car which comes in is red is 5/12 and the experimental probability of the next car which comes in is not red is 7/12.
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PLEASEEEEEE HELPPPPIE WELPIEEE
Answer:
A
Step-by-step explanation:
Answer:
The answer would be A. Hope this Helps! :)
Step-by-step explanation:
(I will give brainlist ) What is the equation of the following graph?
Answer: y=1/3x+2
Step-by-step explanation:
A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?
Students were asked how they traveled to school. The two-way relative frequency table
shows the results. Write answers as decimals rounded to the nearest hundredth.
Method
School
Car Bus Other TOTAL
Middle School 0.19 0.15 0.11
0.45
High School
0.33 0.13 0.09
0.55
TOTAL
0.52 0.28 0.20
1.00
What is the joint relative frequency of high school students who ride the bus?
The joint relative frequency of high school students who ride the bus is
Using the given proportions, it is found that the joint relative frequency of high school students who ride the bus is of 0.28.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportions relative to riding the bus in this problem are of 0.15 for middle school and 0.13 for high school, for a total of 0.28, hence, the joint relative frequency of high school students who ride the bus is of 0.28.
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What percentage of people like
mushrooms?
Response Frequency
Like
19
Dislike
31
Verify and show work
csc x - cos x • cot x = sin x
Answer: The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
sam borrows 5500 at a rate of 12% interest per year what is the amount due at the end of five years if the interest is compounded continuously
Answer:
$ 10 021 . 65
Step-by-step explanation:
The equation for continuous compounding is e^(i * t)
where i = decimal yearly interest t = years
FV = 5500 e^(.12 * 5) = 10 021 .65
- In the diagram to the right, ma = 65°, and mzd = 123°. What is the measure of zb? a. 8 b. 115 C. 23 d. 57
The measure of the third angle in a triangle will be 112°.
How to calculate the triangle?Your information is incomplete. Therefore, an overview will be given.
Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:
= 180° - (23° + 59°)
= 180° - 82°
= 112°
It should be noted that a triangle has three angles.
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4. What is the area of the circle below?
3m
Answer:
[tex]\pi * 9[/tex] or 28.28
Step-by-step explanation:
With the equation of [tex]A = \pi * r^2[/tex], We find that the r - (radius) = 3, so it would be [tex]\pi *3^2\\[/tex] or [tex]\pi * 9[/tex]
Hope This Helps!
My friends and I are buying a total of 50 Howdy
cupcakes. I'd like to order 20% of the total.
Answer: 10 Howdy cupcakes
Step-by-step explanation:
A percent divided by 100 becomes a decimal.
[tex]20\%\; / \;100 = 0.2[/tex]
Now, we will multiply the total by 0.2 to find 20%.
[tex]50 * 0.2 = 10[/tex]
You will be ordering 10 cupcakes.
the area of paralellagram is 72 mm whats the height
The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.
What is the Area of a Parallelogram?The area of a parallelogram = base × height of the parallelogram.
Given the following:
Area = 72 mm²Base of parallelogram = 9 mmHeight = ?9 × height = 72
Height of parallelogram = 72/9
Height of parallelogram = 8 mm.
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Two stores have movies to rent.
• The first store charges a $10.50-per-month membership fee plus
$1.50 per movie rented.
• The second store has no membership fee but charges $2.50 per movie
rented.
What is the minimum number of movies a person would need to rent in a month
for the first store to be a better deal?
Answer:
4 movies because ďòê ánş vianna sausage says so i dont know im barely passing math myself
Can somebody help me find the area of this composite shape
Alone, this shape cannot have the area solved in one step. So, you must break it up into multiple pieces.
For this, we can break it up into a rectangle, and a right triangle.
The area formula for a rectangle is [tex]area = l*w[/tex]
The area formula for a right triangle is [tex]area = \frac{1}2} b*h[/tex]
To find the area of the rectangle, multiply 14 * 18 = 252 m^2
To find the length of the triangle, subtract 20 - 14 = 6
To find the height of the triangle, subtract 18 - 11 = 7
So, it is [tex]\frac{1}{2} 6*7[/tex] = 21 m^2
21 + 252 = 273 meters squared
Hope this helps, feel free to ask any questions
- Jeron :)
Is it possible to draw a triangle with side
lengths 6, 3, and 5?
Yes..
Add 2 sides together and if it’s larger than the 3rd side it’s possible
6 + 3 = 9, which is larger than 5
3 + 5 =8 which is larger than 6
6 + 5 = 11 which is larger than 3
Answer:
YESStep-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
so
6+3=9
6+5=11
3+5=8
yes it is possible
I need this done fast please
hope this helps :)
............
Pls help snaehdusjshdgydudjdjdhd
Answer:
17 games
Step-by-step explanation:
There are 68 games in total. Assuming that the number of games watched are equally divided between 4 people, then each person watches 68/4 = 17 games.
if 1 yard = 3 feet and 1 mile = 5.280 feet how many yards are there in 2 miles .
Answer:
3520
Step-by-step explanation:
Because 3 feet are equal to a yard and 1760 yards are in one mile
So.. just add 1760+1760 and thats the equivalent of 2 miles
In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC = 55° and ∠BAC 45°, Find ∠BCD.
Given,
ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠DBC= 55° and ∠BAC = 45°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠CAD = ∠DBC= 55° (Angles \: in \: the \: same \: segment)[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
Thus,
[tex] \sf∠DAB=∠CAD + ∠BAC[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf= 55° + 45° [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \sf= 100°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
We know that the opposite angles of a cyclic quadrilateral are supplimentary.
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf ∠DAB +∠BCD = 180°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \sf∠BCD = 180°-100° =80°[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
[tex] \pink{\boxed{\sf{∠BCD = 80°}}}[/tex]
Answer:
∠BCD = 80°
Step-by-step explanation:
Given -ABCD is a cyclic Quadrilateral.
∠DBC = 55°
∠BAC = 45°
To find -∠BDC
Solution..BC is a segment and angles of same segment are equal.=> ∠BAC = ∠BDC
=> 45° = ∠BAC { Angles of same segment BC}
In Triangle BCD
=> ∠BDC + ∠DBS + ∠BCD = 180°
=> 45° + 55° + ∠BCD = 180°
=> 100° + ∠BDC = 180°
=> ∠BDC = 180-100
=> 80° ans.
Jamar read 252 pages in 3/4 of an hour. At what rate, in pages per hour, did he read?
Answer:
336 pages per hour (pretty fast)
Step-by-step explanation:
It's hard to explain for me (I'm just doing my best to answer it) but I got the answer from estimating values with a calculator. The proof of it as an answer can be seen from this equation: 336 * 0.75 (or 3/4) = 252. It's pretty late for me so I'm having a hard time reverse engineering the equation. Hopefully this still helps though. :)
Answer:
336 pages per hourStep-by-step explanation:
Given rate is
252 pages per 3/4 of an hourDivide both numbers by 3/4 to get the unit rate per hour
252 ÷ 3/4 = 252 × 4/3 = 1008/3 = 336Due this is linear relationships and slope
Answer:
6x+4 C
Step-by-step explanation:
Because the y-axis is +4
What is the sum of the two
expressions?
(4/5x+13) - (5/8x − 6)
Answer: 7/40x + 19
Step-by-step explanation:
---Distribute the negative sign
4/5x + 13 - 5/8x + 6
---Get common denominators on the fractions
32/40x + 13 - 25/40x + 6
---Combine like terms
(32/40x - 25/40x) + (13 + 6)
7/40x + 19
Answer: 7/40x + 19
Hope this helps!
What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
22.62 degrees
Step-by-step explanation:
Right triangle
you can pick cosine or sine to calculate angle r
sin r = opposite leg/ hypotenuse = 5/13
arcsin(5/13) = 22.62 degrees
cos r = 12/13
r = arccos(12/13) = 22.62 degrees
Michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table. step 1 draw a rectangle around parallelogram abcd. step 2 find the area of the rectangle. step 3 find the area of the four right triangles created in the corners of the rectangle. step 4 subtract the area of the right triangles from the area of the rectangle. to solve the problem using these steps, what are the dimensions of the rectangle he should draw? on a coordinate plane, parallelogram a b c d has points (1, negative 1), (3, 2), (1, 3), and (negative 1, 0). 2 units by 4 units 3 units by 2 units 4 units by 4 units 5 units by 6 units
The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.
What is a rectangle?A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.
Therefore, the dimensions of the rectangle Michael should draw is given by:
Dimension = 4 × 4 units.
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Answer:
option C
Step-by-step explanation:
In the figure below lines p and q are are parallel. What do you notice?
35 points
Answer:
∠1 and ∠8 are alternate exterior angles which is when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are (their measures are) equal.
Simple terms: 1 and 8 are the same angle
Donna travels 70 miles at an average speed of 40 mph. she then travels a further 30 miles. the average speed for the entire journey is 44 mph. assuming donna didn't stop, what was her average speed for the final 30 miles to 2 dp?
If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph
How to Calculate Average Speed?We are given;
Distance travelled by Donna = 70 miles
Average Speed of Donna = 40 mph
Additional Distance travelled = 30 miles
Average speed for entire journey = 44 mph
We know that;
time = distance/speed
Thus
Total time = (70 + 30)/44
Total time = 100/44 h
Time 1 = 70/40 = 7/4 hr
Time 2 = 30/v
Thus;
30/v + 7/4 = 100/44
Multiply through by 44 to get;
1320/v = 100 - 77
v = 1320/23
v = 57.39 mph
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Evaluate the expression is 4*3^z when c is 2
Hey there!
ASSUMING….
4 * 3^c
= 4 * 3^2
= 4 * 3 * 3
= 12 * 3
≈ 12 + 12 + 12
≈ 24 + 12
= 36
Therefore, the answer should be: 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)