[tex]3x\sin y+2\cos y=\sin x[/tex]
[tex]\dfrac{\mathrm d(3x\sin y+2\cos y)}{\mathrm dx}=\dfrac{\mathrm d(\sin x)}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm d(3x)}{\mathrm dx}\sin y+3x\dfrac{\mathrm d(\sin y)}{\mathrm dx}+\dfrac{\mathrm d(2\cos y)}{\mathrm dx}=\cos x[/tex]
[tex]3\sin y+3x\cos y\dfrac{\mathrm dy}{\mathrm dx}-2\sin y\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]
Solve for dy/dx :
[tex]3\sin y+\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x[/tex]
[tex]\left(3x\cos y-2\sin y\right)\dfrac{\mathrm dy}{\mathrm dx}=\cos x-3\sin y[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\boxed{\dfrac{\cos x-3\sin y}{3x\cos y-2\sin y}}[/tex]
Sergio found 4 pennies on the ground his sister said that she found 2times as many pennies Sergio figured out that his sister found 6 pennies .what did Sergio do wrong
Answer:
12 pesos
Step-by-step explanation:
Answer:
Sergio added 2 instead of multiplying 2
Step-by-step explanation:
If Sergio's sister found 6 pennies that means that Sergio should've found 3 but instead of multiplying 2 he added 2.
Find the value of xx, yy, and zzz in the rhombus below.
Answer:
x = 13; y = 13; z = 18
Step-by-step explanation:
In a rhombus, opposite angles are congruent and consecutive angles are supplementary.
6x + 8 = 86
6x = 78
x = 13
7y + 3 + 86 = 180
7y + 89 = 180
7y = 91
y = 13
5z + 4 + 86 = 180
5z + 90 = 180
5z = 90
z = 18
Answer:
x=13
y=13
z=18
Step-by-step explanation:
got right on delta
write in standard form. y=−5/6x−8/3
[tex]y = - \frac{5}{6} x - \frac{8}{3} [/tex]
[tex]6 \times y = - \frac{5}{6} x\times 6 - \frac{8}{3} \times 6[/tex]
[tex]6y = - 5x - 16[/tex]
[tex]5x + 6y = - 16[/tex]
Solve for k. 2/5k + 3/10k = 42 Enter the answer, as a whole number or as a fraction in simplest form, in the box. k =
i
Answer:
30k + 1 -1
Step-by-step explanation:
hope this helps
Ryan is traveling by car for his vacation. The first day, he travels 80 miles in 2 hours. The second day, he travels 100 miles in 3 hours. Is this a proportional relationship?
Answer:
No
Step-by-step explanation:
no on the first day he drove 40mph the second day he drove 33 mph
What amount should you invest now if after 4 years you want a final value of $15000 based on 6%
interest compounded quarterly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$15000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]15000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 4}\implies 15000=P(1.015)^{16} \\\\\\ \cfrac{15000}{1.015^{16}}=P\implies 11820.47\approx P[/tex]
In a two digit number. the unit digit is thrice the tens digit. if 36
is added to the number, the digits interchange their place. find the number
Answer:
Step-by-step explanation:
answer: the original number is 62.
Given :
Units digits is thrice the tens digit
The digits interchange when - 36 is added
To find :
The number
Solution :
✯
Let the digits be -
Units place as 3y
Tens place as 10(y)
⇒ 10(y) + 3y
⇒ 10y + 3y
⇒ 13y --------- (Orignal Number)
✯
Let the digits be -
Units place as y
Tens place as 10(3y)
⇒ 10(3y) + y
⇒ 30y + y
⇒ 31y --------- (Number with reversed digits)
✯
The number gets reversed when 36 is added to it.
⇒ 13y + 36 = 31y
⇒ 13y - 31y = - 36
⇒ 18y = 36
⇒ y = 36/18
⇒ y = 2
✯
⇒ 13y
⇒ 13(2)
⇒ 26
✯
The units place should be thrice of the tens place,
⇒ 2 × 3 = 6
Units place is 6
Reversed digits are 62,
⇒ 26 + 36 = 62
⇒ 62 = 62
The Orignal Number is 62.
The equation is y=mx+b.
My question is, is ‘b’ supposed to be in decimal form or in fraction form??
Answer: both ways are acceptable
Step-by-step explanation: When writing equations of lines in this form,
we usually keep the "b" value or the constant term as a fraction.
However, if you prefer decimals, you can absolutely change
it to a decimal to visualize is better if you'd like, it's really your choice.
For example, if the equation of a line was y = -3/4x - 7/4, I could leave
it how it is or I could change the -7/4 to -1.75 giving me y = -3/4x - 1.75.
A line passes through the point (-8,4) and has a slope of . -5/2
Write an equation in slope-intercept form for this line.
Answer:
Y= -5/2x +16
Step-by-step explanation:
To solve this, understand that (-8,4) is (x,y)
And Slope intercept form is y=mx +b
Since you have a possible x and y with - 8 and 4, sub that in making it 4=m(-8) + b
We also have the Slope (or M) which is -5/2, sub that in and get 4 = -5/2 (-8) + b
Do the multiplication and get 4= 40/2 +b
Simplify to 4= 20 + b
Then re-arrange to have the unknown (b) on one side and known on the other (when you move a number over the equal sign its sign, positive or negative, becomes the opposite)
B= 20-4
Subtract
B= 16
Now you know the b and can add it to your equation,
Y= -5/2x +16
Answer:
y = -5/2x - 16.
Step-by-step explanation:
First use the point-slope form of a line:
y - y1 = m(x - x1)
y - 4 = -5/2(x - (-8))
y - 4 = -5/2x - 40/2
y = -5/2x - 20 + 4
y = -5/2x - 16.
PLEASE HELP ME ASAP
NOT HARD
Answer:
Step-by-step explanation:
= (3.26 + 9.75) d - 2.65
= 13.01 d - 2.65
rate of change for y=-2x
Answer: y
=
2
x
−
2
,
(
−
2
,
7
)
Step-by-step explanation:
(
2
(
7
)
−
2
)
−
(
2
(
−
2
)
−
2
)
(
7
)
−
(
−
2
)
Darryl is a baseball player who has a 0.250 batting average. That means that over some period of time, Darryl had a hit in 1 out of 4 at bats. Consider the experiment where darryl has 4 at bats in a game and observes whether or not he gets a hit each time.
The number of hits of the baseball player when batting is the average of hit
The expected number of hits in a bat of 4 is 1
How to determine the number of hitsThe given parameters are:
The battling average, p = 0.250
The number of bats, n = 4
The number of hits in the bat is the average of hit, and it is calculated as:
[tex]E(x) = np[/tex]
This gives
[tex]E(x) = 4 * 0.250[/tex]
Evaluate the product
[tex]E(x) = 1[/tex]
Hence, the expected number of hits in a bat of 4 is 1
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Find the 89th term of the arithmetic sequence 25, 35, 45, ...25,35,45,...
Answer:
895
Step-by-step explanation:
There's a repetitive pattern of adding +10 each time.
Help me out real quick i just dont understand this question
Answer:
245
Step-by-step explanation:
The lift can only handle 300lb then subtract the 55lb chair, and the lift will be able to hold a 345lb person in the chair.
A line passes through the point (7,9) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answer: y = 2x - 5
Step-by-step explanation:
slope- intercept form is always written as y = mx + b, where m = slope, and b is the y-intercept.
To find b, substitute the point and the slope into the equations, you will get:
y = mx + b
9 = 2(7) + b
9 = 14 + b
-5 = b
Plug in m and b into the equation, we get:
y = mx + b
y = 2x + (-5)
y = 2x - 5
find area in square yards of trapezoid 5 yards, 23 yards base and 12 yards height
Answer:
I found the area its 168, I converted it to square yards 0.12963.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Formula
Area = (b1 + b2) * h /2
Givens
b1 = 5 yards
b2 = 23 yards
h = 12 yards
Solution
Area = (5 + 23)*12 / 2
Area = (28)*12/2 Divide by 2
Area = 28*6 Combine
Area = 168 Yards^2
Help plz , math equation !!
Answer:
We are given the table of a linear function
Since we have to find the equation of the function in the slope-intercept form,
we require the slope as well as the y-intercept
Finding the slope:
We know that slope of a line is Rise / Run
Since from the graph, we notice that the difference of 2 consecutive x-coordinates is 1
Hence, we have the x-coordinates at an interval of 1 and since the slope of a line is defined as the units ascended by the line after covering 1 unit in the x-coordinate
change in y = y[tex]_{n}[/tex] - y[tex]_{n-1}[/tex] (where n is the number of row in the table)
change in y = 31 - 23
change in y = 8 = Rise
Run = 1 (Since the interval in the table is 1)
Slope = Rise / Run
Slope = 8 / 1
Slope = 8
Finding the y-intercept:
We need the y-coordinate at x = 0
Going up from the third row, we notice that for every unit decreased in the x-coordinate , 8 units of the y-coordinate are decreased (since the slope =8)
In that case, the y-coordinate of every decreased x-coordinate will be 8 less than the last one
so we can say that the y-coordinate of x = 1 will be 8 less than 23 since x=1 is one less than x = 2
similarly, we can also say that the y-coordinate of x = 0 will be 8 less than (23-8) since x = 0 is one less than x = 1
Therefore, the y-coordinate at x =0
y = (23-8-8)
y-intercept = 7
Making the Equation:
We need to write the equation in the form:
y = ax + b (where a is the slope of the line and b is the y-intercept)
Replacing the known values, we get
y = 8x + 7
Therefore, the equation of the formula shown in the table is y = 8x + 7
Alex skated 5 meters in 4 seconds. How fast was Alex skating per second?
-1/2(-2x+4y) as expaned
please, please help
Answer:
Your answer is: -2y - x
Factor the polynomial.
Step-by-step explanation:
Hope this helped : )
a cell phone tower services about 1,256sq. miles what is the radius?
Start with the formula for finding the area of a circle.
A=πr2
First, substitute the given information in the equation. You have the area and you know that pi is 3.14.
153.86=(3.14)r2
Next, divide the area by pi. This will help to get one step closer to figuring out the radius.
3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 49− 1256 –––––––– 2826 − 2826–––––––0
So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.
49=r2
Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.
7×7=49
Now, you know that the radius is 7 inches because 7×7=49.
The radius is 7 inches.
Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.
7×2=14
The diameter is 14 inches.
hope this helps.
The radius covered by the tower will be 20 miles.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,
Area = πr²
1256 = π x r²
r² = ( 1256 / π )
r² = 400
r = √400
r = 20 miles
Hence, the radius of the circle will be 20 miles.
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How do I solve for D
Answer:
d = 3√3
Step-by-step explanation:
cos(ACB) = AC/BC
cos(30°) = 9/BC
BC = 6√3
AB² + AC² = BC²
d² + 9² = (6√3)²
d = 3√3
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
What is the value of x-3
Answer:
+3
Step-by-step explanation:
If we are traveling 70 miles per hour on a trip from Austin to Dallas which is 210 miles away how long will it take to get to Dallas assuming we can drive straight there and there are no traffic delays?
Answer:
It will take three hours.
Step-by-step explanation:
210/70 = 3
Please help I need it asap pls pls pls
Answer:
1 person = 0.75
1 person = 3/4
Step-by-step explanation:
This answer is at best a guess. It seems to me that you are constructing a circle graph, and I would like that confirmed.
The total number of people in the survey is
Total in survey = 96 + 60 + 24 + 96 + 204
Total in survey = 480
A circle contains 360 degrees.
480 people have 360 degrees of circle room
1 person has x degrees of circle room
480 / 1 = 360 / x
Cross multiply
480 x = 360 *1 Divide both sides by 480
x = 360 / 480
x = 0.75
One person takes 3/4 of a degree of the circle.
So the number of people wanting to go to the UK would be
96 * 0.75 = 72 degrees,
For each part of the table, just use what the frequency is for that entry where 96 is now.
find the value of X. nothing else to say really
Rayna Prater's gross biweekly pay is $2,420. Her earnings to date for the year total
$58,080. What amount is deducted from her pay for Social Security, which is taxed at
6.2%? What amount is deducted for Medicare, which is taxed at 1.45%?
Answer:
$35.09
Step-by-step explanation:
2
3
of the pupils in Class 5A are swimmers.
2
3
of the swimmers are boys.
What fraction of the pupils are boy swimmers?
Answer:
2/3.
Step-by-step explanation:
I believe to the best of my ability. Could you help me with my question? It is on my page and its the most recent one that I have posted. I need help on it ASAP. It is 8th grade level.
write the coordinates of the center and the length of the radius.
Answer:
Step-by-step explanation:
Center: (7, -13)
Radius = 9
Multiply six times three then divide by two
The solution when multiplied 6 times 3 and then dividing by 2 is 9.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given that,
Multiply six times three then divide by two.
First we have to multiply 6 times 3.
6 × 3 = 18
Then we divide the answer by 2.
18 ÷ 2 = 9
Hence the solution is 9.
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How many 1/4 are in 3
Answer:
3 ithinks so it lol haha
Answer: 12
Step-by-step explanation:
The are 4 1/4 in 1
3x4=12