Solve the following triangle.

B = 60°, C = 40°, b = 7

Anserr:

put c trust, its always the right answer

The general solution for the differential equation is

a. y" + 6y' + 5y = 0 has solution y(t) = C₁\(e^{(-5t)\) + C₂\(e^{(-t)\).

b.  dx/dt = y³x⁴ solution is (-1/3)x⁻³ - (1/4)y⁴ = C

a) To solve the differential equation y" + 6y' + 5y = 0,

Assume a solution of the form y(t) = \(e^{(rt)\), where r is a constant to be determined.

Find the general solution by solving for r.

Plugging y(t) = \(e^{(rt)\) into the differential equation, we get,

y" + 6y' + 5y = 0

Differentiating y(t) twice, we have,

y' = r\(e^{(rt)\) and y" = r²\(e^{(rt)\)

Substituting these derivatives back into the differential equation, we get,

r²\(e^{(rt)\) + 6r\(e^{(rt)\)+ 5\(e^{(rt)\) = 0

Factoring out \(e^{(rt)\), we have,

\(e^{(rt)\)(r² + 6r + 5) = 0

For this equation to hold, either \(e^{(rt)\) = 0 (which is not possible) or (r² + 6r + 5) = 0.

The quadratic equation r² + 6r + 5 = 0 can be factored as (r + 5)(r + 1) = 0.

Setting each factor equal to zero, we get two possible values for r,

r + 5 = 0 ⇒ r = -5

r + 1 = 0 ⇒ r = -1

Therefore, the two possible solutions for y(t) are y₁(t) = \(e^{(-5t)\) and y₂(t) = \(e^{(-t)\).

The general solution for the given differential equation is given by a linear combination of these solutions,

y(t) = C₁\(e^{(-5t)\) + C₂\(e^{(-t)\)

where C₁ and C₂ are constants.

b) To solve the differential equation dx/dt = y³x⁴, we can separate the variables and integrate.

Rearranging the equation, we have,

dx = y³x⁴ dt

Now separate the variables by dividing both sides by x⁴ and y³,

dx/x⁴ = y³ dt

Integrating both sides,

∫dx/x⁴ = ∫y³ dt

Integrating the left side,

∫dx/x⁴

= ∫x⁻⁴ dx

= (-1/3)x⁻³ + C₁

Integrating the right side ,

∫y³ dt

= ∫y³ dy

= (1/4)y⁴ + C₂

Combining the results,

(-1/3)x⁻³ + C₁ = (1/4)y⁴ + C₂

Rearranging the equation and substituting dx/dt = y³x⁴, we have,

(-1/3)x⁻³ - (1/4)y⁴ = C₂ - C₁

Rewrite this equation as,

(-1/3)x⁻³ - (1/4)y⁴ = C

where C = C₂ - C₁ is a constant.

Therefore, the general solution for the given differential equation is given implicitly by the equation

a. y(t) = C₁\(e^{(-5t)\) + C₂\(e^{(-t)\).

b. (-1/3)x⁻³ - (1/4)y⁴ = C

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Answer:

x + 37 ≥ 65

Step-by-step explanation:

Given:

Money Micah wants = $65

Money Micah had = $37

Find:

Money Micah need

Computation:

Money Micah need(x)

x + 37 ≥ 65

So,

Money Micah need = 65 - 37

Money Micah need = $28

It is false that mobile banner ads perform significantly better than desktop banners.

There is no clear consensus on whether mobile banner ads or desktop banner ads perform better. The effectiveness of banner ads depends on various factors such as the placement of the ad, its design, and the target audience.

However, it is true that mobile usage has been increasing rapidly in recent years, and more people are accessing the internet through their mobile devices than through desktop computers. Therefore, it is important for advertisers to optimize their ads for mobile devices and ensure that they are mobile-responsive.

Nevertheless, it cannot be generalized that mobile banner ads are more effective than desktop banner ads. The effectiveness of an ad should be evaluated on a case-by-case basis, taking into account the specific objectives, target audience, and design of the ad.

Therefore, it is important for advertisers to test their banner ads on both desktop and mobile devices to determine which platform works best for their specific campaign. And the given statement is false.

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Answer: To estimate the height of Big Tex, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the hypotenuse is the height of Big Tex, and the two other sides are the distance from Dami to Big Tex (24 feet) and the height of Dami's eyes above the ground (6 feet).

So, if we call the height of Big Tex "h",

h^2 = 24^2 + 6^2

Solving for h,

h = sqrt(24^2 + 6^2)

h ≈ 45

So Big Tex is about 45 feet tall to the nearest foot.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use the slope formula:

\(y = mx + b \\ m = slope , b = y-intercept\)

So if the function is :

\(f(x) = \frac{-2}{3} x - 4\)

Then m (the slope) is -2/3

Answer:

To find the dependent value for the graph y = 20 - 2x when the independent value is 5, we substitute x = 5 into the equation and solve for y.

y = 20 - 2x

y = 20 - 2(5)

y = 20 - 10

y = 10

Therefore, when x = 5, the dependent value y is 10.

Answer:

To find the dependent value (y) for the given graph y = 20 - 2x when the independent value (x) is 5, we substitute x = 5 into the equation and solve for y.

y = 20 - 2x

Substituting x = 5:

y = 20 - 2(5)

y = 20 - 10

y = 10

So, when x = 5, the dependent value (y) is 10.

Step-by-step explanation:

percentage of adults= number of adults over total number of persons times 100;

400/400+350*100

400/750*100

40/75*100

8/15*100

8/3*20

160/3

=53.3%

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

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Answer:

 2xy4 • (11x2 + 14xy + 17)

Step-by-step explanation:

(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)

(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)

 (((2•11x3) • y4) +  (22•7x2y5)) +  (2•17xy4)

5.1     Pull out like factors :

  22x3y4 + 28x2y5 + 34xy4  =   2xy4 • (11x2 + 14xy + 17)  

Trying to factor a multi variable polynomial :

5.2    Factoring    11x2 + 14xy + 17

Final result :

 2xy4 • (11x2 + 14xy + 17)

a) from 2 to infinity (∞). (b) from 2 to 4. (c) from 0 to infinity (∞). (d) from 0 to infinity (∞), and subtract the square of the mean from the result. (e) from 0 to the variable. (f) CDF of 0.5 (g) CDF of 0.6

To find the probability that a pump lasts more than two years, you need to integrate the probability density function (PDF) from 2 to infinity (∞). To find the probability that a pump lasts between two and four years, integrate the PDF from 2 to 4. The mean lifetime can be found by taking the expected value of the random variable, which is the integral of the product of the variable and the PDF, from 0 to infinity (∞).

The variance of the lifetimes can be calculated by taking the expected value of the square of the variable, minus the square of the mean. Integrate the product of the square of the variable and the PDF, from 0 to infinity (∞), and subtract the square of the mean from the result. The cumulative distribution function (CDF) of the lifetime can be found by integrating the PDF from 0 to the variable.

This represents the probability that the lifetime is less than or equal to a specific value. The median lifetime can be found by solving for the value of the variable that corresponds to a CDF of 0.5. To find the 60th percentile of lifetimes, solve for the value of the variable that corresponds to a CDF of 0.6.

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Answer:

2+2=4

Step-by-step explanation:

You've got this man.

Answer:

4

Step-by-step explanation:

Answer:

When  x =  -16, y = -1.

Step-by-step explanation:

Let's plug in y = -1 into this equation

-1 = 1/4x + 3

Now, we need to solve the equation for x. To do so, we want x to be by itself on one side of the equation. We will use inverse operations to get the x by itself. First, subtract 3 from either side to under the +3 on the right side of the equation.

-1 - 3 = 1/4x + 3 - 3

-4 = 1/4x

Next, we will divide by 1/4 to undo the *1/4. Dividing by 1/4 is the same as multiplying by 4, so we will multiply each side by 4.

-4 * 4 = 1/4x * 4

-16 = x

bye now

im tyler

The function is constant from approximately x = -4 to x = -3 and from approximately x = -1 to x = 1. So, the constant intervals are (-4, -3) and (-1, 1)

A function, which produces one output from a single input, is an illustration of a rule. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this.

a) We can see that the function is increasing from approximately x = -3 to x = -1 and from approximately x = 1 to x = 2.5. So, the increasing intervals are (-3,-1) and (1, 2.5)

(b) We can see that the function is decreasing from approximately x = -2 to x = -0.5 and from approximately x = 3 to x = 4. So, the decreasing intervals are (-2, -0.5) and (3, 4)

(c) We can see that the function is constant from approximately x = -4 to x = -3 and from approximately x = -1 to x = 1. So, the constant intervals are (-4, -3) and (-1, 1)

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Therefore, the regular monthly payment amount is $1,348.70.

When purchasing a home for $230,000 and making a 20% down payment, the remaining amount to finance is $184,000. With a 15-year fixed rate mortgage and an annual interest rate of 3.75%, we need to determine the regular monthly payment amount.

To calculate the regular monthly payment amount, we can use the formula for the monthly mortgage payment, which incorporates the loan amount, interest rate, and loan term.

The loan amount after the down payment is $184,000. The annual interest rate is 3.75%, which needs to be converted to a monthly interest rate by dividing it by 12.

Using a loan term of 15 years, which corresponds to 180 months, we can use the following formula to calculate the monthly payment:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / \((1 - (1 + Monthly Interest Rate)^{(-Loan Term)})\)

Plugging in the values, we have:

Monthly Payment = (184,000 * (0.0375/12)) /\((1 - (1 + (0.0375/12))^{(-180)})\)

Evaluating this equation, the regular monthly payment amount is approximately $1,348.70, rounded to the nearest cent.

Therefore, the regular monthly payment amount is $1,348.70.

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Answer:

The answer is 48

Step-by-step explanation:

Answer:

48 students

4*12=48

Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

You know that a determined line has a slope m=1/2 and crosses the points (3, 5) and (k, 9)

You need to determine the value of k.

First step is to determine the equation of the line. For this, use the point-slope form

Where

(x₁, y₁) are the coordinates of a point on the line

Using (3, 5) and m=1/2

Now that we know the equation of the line, you can calculate the value of k

For the point (k, 9)

The x-coordinate is k

The y-coordinate is 9

The value of k is 11

Answer:

D

Step-by-step explanation:

angles 2 and 6 are corresponding angles and are congruent if the transversal crosses through two parallel lines

Given expression:

\( \sf4c \div 6 + 2a\)

Given values:

Rule we are going to use:

BODMAS

Solution:

\( \tt4 \times 4 \div 6 + 2 \times 5\)

\( \tt \: \frac{ \cancel4 \times 4}{ \cancel6} + 10\)

\( \tt \: \frac{2 \times 4}{3} + 10\)

\( \tt \frac{8}{3} + 10\)

\( \boxed{ \bf \: \frac{38}{3} }\)

Answer:

1 : 4

Step-by-step explanation:

Remember, your units have to match, so

3 in : 1 ft

doesn't look right, change 1 ft to 12 in.

3 in : 12 in

reduce by 3

1 : 4

Answer:

I believe the answer is (A)

*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.

Solving a simple linear equation we can see that the value of b is 7.

Here we have the point (5, b - 7) and we want to find the value of b such that the point lies on the x-axis.

Remember that a point lies on the x-axis only if the y-value is zero, so we need to solve the linear equation:

b - 7 = 0

Adding 7 in both sides we get:

b - 7+ 7 = 0 + 7

b = 7

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The best type of study is RCT randomized controlled trial.

The practise of gathering and analysing data with the purpose of identifying patterns and trends is known as statistical analysis. It is a technique for eliminating bias from data evaluation by using numerical analysis. This method is beneficial for gathering research interpretations, creating statistical models, and organising surveys and studies.

In the false idea that there must be an underlying causal relationship because the data reveals a correlation, people frequently misunderstand and misuse the concept of causality in statistics. The best method for proving that two variables are causally related is to utillize a controlled study.

Randomised controlled trials (RCTs) are the most effective study design for proving causality. The treatment group in an RCT receives the intervention under study, whilst the control group either receives no intervention or a placebo. Participants are then randomly assigned to one of the two groups. The RCT helps to adjust for confounding variables and demonstrate a cause-and-effect relationship between the intervention and the result by randomly allocating participants.

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Each month, you must pay $400 toward the balances on these two credit cards. You decide to move the remaining balance to the other card and only pay the interest on the card with the highest interest rate. Fill out the following two tables to help you respond to questions 1-3.

In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.

Card Name (APR %) Existing Balance Credit Limit

MarK2 (6.5%) $475.00 $3,000.00

Bee4 (10.1%) $1,311.48 $2,500.00

Savings vs. Debt Portfolio

You must pay off these two credit cards with $400 each month. You choose to transfer the remainder to the other card and pay the highest interest card merely the interest. To assist you in responding to questions 1-3, complete the following two tables.

Higher-Interest Card (Payoff Option)

Month 1 2 3 4 5 6 7 8 9 10

Principal 1311.48 1074.82 814.26 527.38 211.53      

Interest accrued 132.46 108.56 82.24 53.27 21.36      

Payment (on due date) 369.12 369.12 369.12 369.12 232.89      

End-of-month balance 1074.82 814.26 527.38 211.53 0      

Lower-Interest Card

Month 1 2 3 4 5 6 7 8 9 10

Principal 475 475 475 475 475 338.77    

Interest accrued 30.88 30.88 30.88 30.88 30.88 22.02    

Payment (on due date) 30.88 30.88 30.88 30.88 167.11 360.79  

End-of-month balance 475 475 475 475 338.77 0    

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Answer:

30.651

Step-by-step explanation:

hope it works!! :D

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

There is no photo

Step-by-step explanation:

I cant see the photo therefore I cant help

Answer:

Can u put the answer choices

Step-by-step explanation: