Answer:
[tex]z = - 3[/tex]
[tex]y - z = 1[/tex]
[tex]y + ( - 3) = 1[/tex]
[tex]y = 4[/tex]
[tex]x + 4 +3 = 17[/tex]
[tex]x = 10[/tex]
Find dy/dx in terms of x and y
3x sin y + 2 cos y = sin x
[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]
Hellllllllllpppppppp
Answer:
C
Step-by-step explanation:
Translate up & left then reflect over y axis.
Answer:
C
Step-by-step explanation:
First you have to translate up and then left, then reflect over the y axis.
Can someone please help me with this? I have a test tommorow on this subject and I'm very confused. :(
Prism: V = Bh
Cylinder: V = πr²h
Answer:
452.16 in. or 144π if the answer needs to be in terms of pi.
Step-by-step explanation:
In this case, all of the information is given to you. You can determine this is a cylinder because of its circular bases. Your height is given on the side as 9in. Your radius is given on the base as 4in. You can tell that this value is the radius and not the diameter because the line only covers half of the circular base. If the line went from one edge to the other, you would need to divide the given value by 2. From there, you can just plug the numbers into the proper equation.
V = πr²h
V = π(4)²(9)
V = 452.16 or 144π
The pH scale measures the acidity of a liquid as a function of its hydrogen ion(H+) concentration pH=-log[H+] A chemist needs to prepare a solution with a pH of three. What H+ concentration should the solution have?
Answer:
H+ = 0.001
Step-by-step explanation:
3 = -log[H+]
Identity to use: [tex]-log_{b}(a) = log_{b}(1/a)[/tex]
3 = log[ 1 / H+ ]
Identity to use: [tex]10^{log(x)} = x[/tex]
Therefore, I am going raise each side of the equation to the power of 10 to isolate [ 1 / H+ ]
10³ = [tex]10^{log(\frac{1}{H+} )}[/tex]
1000 = 1 / H+
H+ = 1 / 1000
Answer: H+ = 0.001
Find the diameter of a circle with an area of 30.25 pi.
Answer:
11
Step-by-step explanation:
Radius = R, Diameter = D
Area of a circle A = πR² = π(D/2)² = πD²/4
so D² = 4A/π = 4*30.25π/π = 121
[tex]D=\sqrt{121} = 11[/tex]
Is this a good app for school
what is 122x1,2222
Answer:
122x12222 = 1491084
Answer:
It is a good app, when used the right way.
Step-by-step explanation:
Your question isn't properly described. 122x1,2222, is that 1.2222 or was it supposed to be 12,222?
Select multiples of 4. You will select three.
2
4
22
36
42
48
Answer:
Multiples of 4 are the following:
43648Step-by-step explanation:
2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.
Answer:
4,36,48
Step-by-step explanation:
The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
*Please give brainliest*
A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure 16 ft. What is h, the height of the box?
To find the volume of a prism, we can use the following formula:
[tex]V=base\hspace{3}area*height[/tex]
Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
[tex]A=lw[/tex] ⇒ where l is the length and w is the width
Solving the QuestionWe're given:
V = 4352 ft³l = 16 ftw = 16 ftWe need to solve for the height of the box.First, find the base area:
[tex]A=lw\\A=16^2\\A=256[/tex]
Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:
[tex]V=base\hspace{3}area*height[/tex]
⇒ Divide both sides by the base area:
[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]
⇒ Plug in the given values:
[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]
Therefore, the height of the box is 17 ft.
AnswerThe height of the box is 17 ft.
Answer:
17
Step-by-step explanation:
The ratio of girls to boys in a class is 9:6. The average class size in the school is 25 students. Suppose this class is representative of all the students in the school. How many students in this class are boys?
Step-by-step explanation:
Here is the correct answer...
I hope you understand...
A shopkeeper buys a dress for $40
She sells it for $48
Work out the percentage increase in the price of the dress.
Answer:
48 - 40 = $8, there is a $8 dollar increase.
Formula for change of percentage;
changed price
___________ x 100% (100/100)
original amount
Replace those values with the values we found;
40/48 x 100/100 = 20% increase.
Please help me ASAP
( I will mark brainliest )
Answer:
13.01d − 2.65
The liked terms are "3.26d + 9.75d". Just add them accordingly.
.
evaluate 16^-3/4
Evaluation of the exponents
Answer:
I think it is -12
Multiply -0.75 (3 quarters) by 16.
The negative cancels out the positive number.
Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.
Normally, this ↑ is not the case, but here, I could make an exception.
I hope this helps you, let me know if you need something else.
2
Type the correct answer in the box. Use numerals instead of words.
What is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet?
The total surface area is about
square feet.
107
110
132
93
The area of the equilateral triangular pyramid is the amount of space on it
The total surface area is 107 square feet
How to determine the total surface area?The given parameters are:
Base (b) = 6 feet
Slant height (l) = 10 feet
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 6 * 10
Evaluate the product
L = 90
The total surface area is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 90 + 0.25√3 * 6^2
Evaluate
T = 107
Hence, the total surface area is 107 square feet
Read more about areas at:
brainly.com/question/24487155
Answer:
107 sq ft
Step-by-step explanation:
Got it right on Edmentum
Hook me up with a 5 star and a Thanks :)
A restaurant manager bought a case of 12 bottles of water. He paid 90p per bottle. He sold 1/4 of the bottles for £2.10 per bottle and the rest of the case for £2.40 per bottle. a) How much profit did he make? b) Write the profit as a percentage.
Step-by-step explanation:
12 bottles for 0.90 per bottle = 12×0.90 = £10.80 as initial cost.
1/4 of 12 = 12×1/4 = 12/4 = 3 bottles
so, 3 bottles are sold for £2.10 per bottle = 3×2.1 = £6.30
the rest (12-3) 9 bottles are sold for £2.40 per bottle = 9×2.4 = £21.60
so, the total sales was 6.3 + 21.6 = £27.90.
the profit is then sales minus initial cost :
27.9 - 10.8 = £17.10
1% of the initial cost is 10.8/100 = 0.108
how often does 1% fit into the total profit ?
17.1/(10.8/100) = 17.1×100/10.8 = 158.3333333...%
so, the profit is 158.3333333...% of the initial cost.
Show all steps necessary to verify the trigonometric identity:
1 - 2cos^2x = 2sin^2x - 1
Step-by-step explanation:
please mark me as brainlest
Using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.
The given trigonometric identity is 1-2cos²x = 2sin²x-1.
What are trigonometric identities?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle.
Using trigonometric identity sin²θ+cos²θ=1
Here, 1-2cos²x = 2sin²x-1
⇒ 1+1=2sin²x+2cos²x
⇒ 2=2(sin²x+cos²x)
⇒ 2=2(1)
⇒ 2=2
LHS=RHS
Therefore, using trigonometric identity sin²θ+cos²θ=1, the given identity is proved.
Learn more about the trigonometric identity here:
https://brainly.com/question/24377281.
#SPJ2
How do I solve for y ?
Answer: 52
Step-by-step explanation:
a formula one racecar driver estimates that he needs to maintain an average speed of 113 miles per hour in order to set a new lap record on an Australian racetrack. since australia uses si units, the average speed will be reported to the driver in kilometers per hour. if the driver successfully maintained an average speed of 113 miles per hour during the lap, what would the report show as his average speed in kilometers per hour? round your answer to the nearest hundredth
Answer:
181.82 km/h
Step-by-step explanation:
1 mile = 1.609 km
so 113 miles/hour = 113 * 1.609 = 181.82 km/h
Follow the steps to solve the equation using algebra tiles. -4x + 1 = x + (-4)
Answer:
x=1
Step-by-step explanation:
This can be simplified to -4x+1=x-4
add 4 to both sides
-4x+5=x
Flip it so it is easier to work with
x=-4x+5
add 4x to both sides
5x=5
Divide by 5
x=1
Which graph represents the following system of inequalities? y < -3x+5 y < x+2 y < -1
Answer:
The attached graph represents the system
Step-by-step explanation:
Let us describe the graph of each line
In y < -3x + 5
∵ The sign of inequality without =
∴ The line represents it must be dashed
The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept
∵ y < -3x + 5
∴ m = -3 and b = 5
∴ The direction of the line is to the left and intersect the y-axis at (0, 5)
∴ y < -3x + 5 represented by the green line
∵ The sign of inequality is <, then the shading is under the green line
In y < x + 2
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 1 and b = 2
∴ The direction of the line is to the right and intersect the y-axis at (0, 2)
∴ y < x + 2 represented by the blue line
∵ The sign of inequality is <, then the shading is under the blue line
In y < -1
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 0 and b = -1
∴ The line is horizontal and intersects the y-axis at (0, -1)
∴ y < -1 represented by the red line
∵ The sign of inequality is <, then the shading is under the red line
∵ The shading of the three inequalities is under the lines
∴ The solutions of the system of inequalities lie in the common
shaded part under the three lines
∴ The attached graph represents the system
The graph was plotted and is attached below.
Inequality is the unequal comparison of numbers or expressions.
Given the inequalities: y < -3x+5, y < x+2, y < -1
Graphing the above inequalities using the geogebra online graphing calculator.
The graph is attached below.
Find out more at: https://brainly.com/question/25285332
What is the following product?
Answer:
The answer is the last question (7x to-the-power-of 2 - 72)
Step-by-step explanation:
7x²+72 -6x√56
7x²+72-6x√(14×4)
7x²+72-12x√(14) because√(14×4)=2√14
It’s system of equations
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find the measure of CF
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.
step-by-step explanation:
Bob is buying the soccer team snacks after their game eight players want cookies and five players want ice cream if the ice cream cost $1.25 each and cookies cost $1.75 each how much will Bob spend on snacks for the team
Answer:
the total cost would be $20.25
Step-by-step explanation:
For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?
1.333
2.438
2.667
−4
Answer:
1.333
Step-by-step explanation:
Distance travelled (or displacement) will be the antiderivative of Velocity.
Antiderivative of -t^2 + 2 =
d(t) = -t^3/3 +2t
Now plug in t=2 and t=0 and subtract them.
(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333
Answer:
1.333
Step-by-step explanation:
We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.
x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)
= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...
Which fraction is equivalent to 5/12 + 2/3
Answer:
5/12 + 8/12 = 13/12 = 1 1/12
Step-by-step explanation:
This is the answer because:
1) You have to add the fractions, in order to add the fractions you have to find the common denominato.
2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.
3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.
Hope this helps! :D
plss help me plss #3
Based on the video, how many states currently have primary seat belt laws where you can receive a ticket for not wearing a seat belt?
50 States
21 States
31 States
35 States
Answer:
50 states bb bbdbeu28nefd
What is 17/5 as a mixed number in simplest form ?
Answer:
3 [tex]\frac{2}{5}[/tex]
Answer:
3 and 2/5 i believe
please say if im wrong or right
Step-by-step explanation:
Using the cross multiplication method, which of the following is the solution to 1/(x+1) = 17/(x+2)?
Answer:
x = -15/16
Step-by-step explanation:
see image.
Cross-multiply and combine like terms. Finally divide to get x all by itself.
see image.
A cone-shaped frozen yogurt cup has a radius of 5 cm and a height of
9 cm. How many cubic centimeters of frozen yogurt can the cup hold?
Approximate your answer to the nearest hundredth.
Answer:
235.62 Cubic centimeters
Step-by-step explanation:
[tex]v = \frac{1}{3}\pi \: r {}^{2} h \: = \frac{1}{3} \times \pi \times 5 {}^{2} \times 9 \\ \\ = 75\pi = 235.62[/tex]
Answer:
235.62 Cubic centimeters
Step-by-step explanation:
have a nice day.