Solve this please!!!

Answer:

2sin4y - sin8x = K (C)

Step-by-step explanation:

Given the differential equation

dy/dx= cos(8x)/cos(4y)

This can be solved by using the variable separable method.

Step 1;

Separate the variables

Cos4ydy = cos 8xdx

step 2:

Integrate both sides of the equation

∫cos4y dy = ∫cos8x dx

sin4y/4 = sin8x/8

Step 3:

Add constant of integration to the side containing x variable

sin4y/4 = sin8x/8+ C

Taking sin8x to the other side we have:

sin4y/4-sin8x/8 = C

Multiplying through by 8:

2sin4y - sin8x = 8C

2sin4y - sin8x = K (where K = 8C )

To solve the given differential equation we have apply variable separation method.

The correct option is (c) 2 sin(4y) - sin(8x) = C.

In mathematics, variable separation method used to calculate the partially and ordinary differential function in which we rewrite the equation so that two variable occurs on two side.

Given:

The given differential equation is as follows,

[tex]\dfrac{dy}{dx}=\dfrac{\cos(8x)}{\cos(4y)}[/tex]

Separate the variable.

[tex]\cos 4y \:dy =\cos 8x\:dx\\[/tex]

Integrate both side of the equation.

[tex]\int \cos4y dy = \int \cos8x dx\dfrac {1}{4}\sin4y = \dfrac {1}{8}\sin8x\\\dfrac {1}{4}\sin4y-\dfrac {1}{8}\sin8x=C\\2\sin4y - \sin8x = 8C[/tex]

Thus, the correct option is (c) 2 sin(4y) - sin(8x) = C.

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Answer:

y = 4x-7

Step-by-step explanation:

We have a slope and a point

m = 4    (2,1)

Using the slope intercept form of the equation

y = mx+b

y = 4x+b

From the point x=2 and y =1

1 = 4(2)+b

1 = 8+b

Subtract 8 from each side

1-8 =8-8+b

-7 = b

We can write the equation by using m=4 and b = -7

y = 4x-7

Answer:

A

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer 1 is an impulse purchase. An impulse purchase is when someone does something just because they feel like it. She doesn't give herself time to think about the outcomes, how much it would cost, the type of dog, nada. She just buys it. Therefore, answer 1 is an example of impulse buying.

Answer:

i think the answer is going to be 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x by cross multiplying.

Exact Form:

x=6/5

Decimal Form:

x=1.2

Mixed Number Form:

x=1 1/5

i hope its correct plz tell me if im wrong

Answer:

a 15/20

Step-by-step explanation:

A=25in

B15in

C20in

Answer:

15/20

Step-by-step explanation:

lol

brainiest rate 5 stars , thank me : )

7 gallons of pure acid and 14 gallons of 10% acid

7 liters of pure acid and  14 liters of 10% solution should be added.

percentage, a relative value indicating hundredth parts of any quantity.

let a = amount of pure acid to be used

then (21-a) = amount of 10% solution required

A typical mixture equation

a + 0.10(21-a) = .40(21)

a+2.1-0.1a=8.4

0.9a+2.1=8.4

Subtract 2.1 on both sides

0.9a=6.3

Divide both sides by 0.9

a=7

7 liters of pure acid

21- 7 = 14 liters of 10% solution

Hence, 7 liters of pure acid and  14 liters of 10% solution should be added.

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Answer:

you really just have to tell them to and if they are nice they will

Step-by-step explanation:

Answer: A competent person with correct answers

To calculate the total amount spent on a mortgage, multiply the monthly payment by the total number of months. For a $150,000 loan at an interest rate of 2.75% and a 15-year term, the total amount spent is approximately $181,884.60.

To calculate the total amount spent on a mortgage, we need to find the monthly payment and multiply it by the total number of months. Using the formula for the monthly payment of a mortgage, we can calculate that the monthly payment for a $150,000 loan with an interest rate of 2.75% and a term of 15 years is approximately $1,010.47. Multiplying this monthly payment by the total number of months (15 years * 12 months per year) gives us the total amount spent, which is approximately $181,884.60.

Answer:

(-2,0) and (3,0)

Step-by-step explanation:

The parabola passes through both points on the graph.

Answer:

B. (-2,0) (3,0)

Step-by-step explanation:

thats where the line passes through the X axis

Answer:

P(exactly two buy yearbooks) = 0.31104

P(at least two buy yearbooks) = 0.76672

Step-by-step explanation:

We are given that at high school 40% of the students buy yearbooks.

You select 6 students at random.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 6 students

            r = number of success

            p = probability of success which in our question is probability that

                  students buy yearbooks, i.e; p = 0.40

Let X = Number of students who buy yearbooks

So, X ~ Binom(n = 6, p = 0.40)

(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)

               P(X = 2) =  [tex]\binom{6}{2} \times 0.40^{2} \times (1-0.40)^{6-2}[/tex]

                             =  [tex]15\times 0.40^{2} \times 0.60^{4}[/tex]

                             =  0.31104

(b) Probability that at least two buy yearbooks is given by = P(X [tex]\geq[/tex] 2)

     P(X [tex]\geq[/tex] 2) =  1 - P(X = 0) - P(X = 1)

                   =  [tex]1- \binom{6}{0} \times 0.40^{0} \times (1-0.40)^{6-0}-\binom{6}{1} \times 0.40^{1} \times (1-0.40)^{6-1}[/tex]

                   =  [tex]1- (1 \times 1 \times 0.60^{6})-(6 \times 0.40^{1} \times 0.60^{5})[/tex]

                   =  1 - 0.04666 - 0.18662

                   =  0.76672

Answer:

open circle at 7; arrow points left

Step-by-step explanation:

To Solve:

4x - 10 < 18

    + 10   +10

4x < 28

/4    /4

x < 7   *only flip sign when multiply/divide by negative

< means the arrow will point left and that it will be an open circle

Answer:

Its is C. The graph has an open circle at 7 and E. The arrow points left.

Step-by-step explanation:

Can i get brainliest please?

Answer:

z = 3m - 2n

Step-by-step explanation:

[tex] \frac{ {1000}^{m} }{ {100}^{n} } = {10}^{z} \\ \\ \frac{ {10}^{3m} }{ {10}^{2n} } = {10}^{z} \\ \\ {10}^{3m - 2n} = {10}^{z} \\ \\ 3m - 2n = z \\ \\ \huge \red{ \boxed{z = 3m - 2n}}[/tex]

Answer:

15.7

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d where d is the diameter

C = 3.14*5

C= 15.7

Answer:

15.7

Step-by-step explanation:

C=3.14(5 inches) <---Formula

Answer:  height of the door is x+4

Step-by-step explanation:

Answer:

[tex]\sqrt{97}[/tex]

Step-by-step explanation:

Using the pythagorean theorem, you can find that the distance between the two points is [tex]\sqrt{(5-1)^2+(5-(-4))^2}=\sqrt{4^2+9^2}=\sqrt{97}[/tex]. Hope this helps!

Answer:

it 95 good luck

Step-by-step explanation:

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

[tex] - 4 < x \leqslant 4[/tex]

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

[tex] - 2 \leqslant x < 5[/tex]

Answer:

1) -4 2) -2

Step-by-step explanation:

i got it right

The polynomial function with a leading coefficient of 1 and the specified roots and multiplicities is f(x) = (x + 2)(x - 7)(x - 5)^27.

The polynomial function you are looking for, which has a leading coefficient of 1, roots at -2 and 7 each with a multiplicity of 1, and a root at 5 with multiplicity 27, is given by the expression:

f(x) = (x + 2)(x - 7)(x - 5)^27

The given roots indicate the factors of the polynomial, and the multiplicity of each root shows how many times that factor is repeated. Hence, the root -2 becomes (x + 2), the root 7 becomes (x - 7), and the root 5 with multiplicity 27 becomes (x - 5)^27. The leading coefficient is 1, which means these factors are not multiplied by any other constant.

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Answer:

A: XY and ST

B: VU and TW

D: TX and WX

Step-by-step explanation:

Just took test.

Answer

4

3

Step-by-step explanation:

i did the test.

The parabola that opens downward when graphed is y = –3x^2, as the negative coefficient of the x^2 term determines the downward opening direction.

The student has asked which parabola opens downward when graphed. The general form of a parabola is y = ax2 + bx + c. The direction in which the parabola opens is determined by the coefficient a of the x2 term. If a is negative, the parabola opens downward, and if a is positive, the parabola opens upward. Looking at the provided equations, we can identify the equation with a negative a value:

Therefore, the equation of the parabola that opens downward when graphed is y = –3x2

Answer:

The correct option is c,$36.60

Step-by-step explanation:

The key to solving this question lies around measurement conversion,specifically converting grams into its equivalence in kilograms.

1000 grams equal one kilogram

9 grams=9/1000 kg

9 grams=0.009 kg

70 grams=70/1000 kg

70 grams=0.07 kg

Julie pays=$600*0.009=$5.4

Jacques pays=$600*0.07=$42

Jacques pays   $36.60 more ($42-$5.4) than Julie paid

Option is wrong because that was what Julie paid

Option D is wrong because that was what Jacques paid

Option B is obviously wrong

Answer:

Its A

Step-by-step explanation:

Answer:

hola ITS A

Step-by-step explanation:

Answer:

No,   2 is not 14

Step-by-step explanation:

Evaluate 2*7  you get  2*7 = 14

but 14 is not 2  so no.

Answer:

no

Step-by-step explanation:

No because, 2 times 7 is 14.

Answer:

492,800

Step-by-step explanation:

Given ith term of an arithmetic sequence as shown:

ai = a(i-1)+2

and a1 = 5

When i = 2

a2 = a(2-1)+2

a2 = a1+2

a2 = 5+2

a2 = 7

When i = 3

a3 = a(3-1)+2

a3 = a2+2

a3 = 7+2

a3 = 9

It can be seen that a1, a2 and a3 forms an arithmetic progression

5,7,9...

Given first term a1 = 5

Common difference d = 7-5= 9-7 = 2

To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.

Sn = n/2{2a1+(n-1)d}

Given n = 700

S700 = 700/2{2(5)+(700-1)2}

S700 = 350{10+699(2)}

S700 = 350{10+1398}

S700 = 350×1408

S700 = 492,800

Therefore, the sum of the first 700 terms in the sequence is 492,800

Final answer:

To calculate the sum of the first 700 terms of the arithmetic sequence, we apply the arithmetic series sum formula using the number of terms (700), the first term (5), and the common difference (2), resulting in a sum of 492800.

Explanation:

To find the sum of the first 700 terms of an arithmetic series, we use the formula for the sum of an arithmetic series: S = (n/2)(a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. Given that a1 is 5, and the common difference d is 2, we can calculate the nth term (an) using the formula for the nth term of an arithmetic sequence: an = a1 + (d)(n - 1).

We know n = 700, d = 2, and a1 is 5. Thus, an = 5 + 2(700 - 1) = 5 + 2(699) = 5 + 1398 = 1403. The sum can then be calculated as S = (700/2)(5 + 1403) = 350(1408) = 492800.

Therefore, the sum of the first 700 terms of the arithmetic sequence is 492800.