Find the measure of DAE

Answer:

\(4x^2+20x-2\)

Step-by-step explanation:

To find (c.g)(x) we basically use the function d(x) as your variable, x, and plug it into c(x). So we replace every x in c(x) with the function d(x), \(x^{2} +5x\)

c(g(x))=4(x^{2} +5x)-2

c(g(x))4\(x^2\)+20x-2

The distance between the points (4, 3), (7, 5) using the distance formula is sqrt(13) and using integration is also sqrt(13).

(a) Using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((7 - 4)^2 + (5 - 3)^2)

= sqrt(9 + 4)

= sqrt(13)

Therefore, the distance between the points (4, 3) and (7, 5) is sqrt(13).

(b) Using integration:

The distance between two points can also be found by integrating the magnitude of the velocity function that connects the two points.

Let P1 = (4, 3) and P2 = (7, 5), and let f(t) be the position function of an object moving from P1 to P2 along some path. Then the velocity function is given by:

v(t) = f'(t)

The magnitude of the velocity is given by:

|v(t)| = sqrt((dx/dt)^2 + (dy/dt)^2)

We can find the position function by integrating the velocity function:

f(t) = ∫ v(t) dt

For the points P1 and P2, we have:

P1 = (4, 3) and P2 = (7, 5)

Therefore,

dx/dt = 3, dy/dt = 2

Thus,

|v(t)| = sqrt(3^2 + 2^2) = sqrt(13)

Integrating this over the interval [0,1], we get:

d = ∫0^1 |v(t)| dt

= ∫0^1 sqrt(13) dt

= sqrt(13) * t |0^1

= sqrt(13)

Therefore, the distance between the points (4, 3) and (7, 5) is sqrt(13), using integration as well.

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Answer:many

Step-by-step explanation:manymulti- a combining form meaning “many,” “much,” “multiple,” “many times,” “more than one,” “more than two,” “composed of many like parts,” “in many respects,” used in the formation of compound words: multiply; multivitamin.

Answer:

\(\large \boxed{ (p+6)(p-6) }\)

Step-by-step explanation:

\(p^2 - 36\)

Rewrite 36 as 6 squared.

\(p^2 - 6^2\)

Apply difference of two squares formula:

\(a^2-b^2 =(a+b)(a-b)\)

\(a=p\\b=6\)

\(p^2 - 6^2=(p+6)(p-6)\)

Answer:

since is its a possibility of 7 or 11 we add the individual probabilities

so the answer is 1/6+ 1/18=3/18+1/18=4/18=2/9

2/9.

I hope now you'll understand

Answer:

the question is invalid. please rewrite the question.

The iteration until the desired approximation error is achieved, i.e., RE(Pn ≈ PN-1) < 10^(-6). At each step, we update p_n using the Secant method formula, and we calculate the relative error to check the convergence criterion.

To apply the Secant method to find an approximation pn of the solution of the equation x*sin(0.51x) = 0.26 in the interval [0, 1], with an approximation error of RE(Pn ≈ PN-1) < 10^(-6), we start with the initial approximations p₀ = 1 and p₁ = 0.8.

The Secant method formula for finding the next approximation is given by:

p_n = p_{n-1} - (f(p_{n-1}) * (p_{n-1} - p_{n-2})) / (f(p_{n-1}) - f(p_{n-2}))

where f(x) represents the equation x*sin(0.51x) - 0.26.

Let's calculate the approximations using the Secant method:

Step 0:

n p_n

0 1

1 0.8

Step 1:

n p_n

0 1

1 0.8

2 p₁ - (f(p₁) * (p₁ - p₀)) / (f(p₁) - f(p₀))

Step 2:

n p_n

0 1

1 0.8

2 p₁ - (f(p₁) * (p₁ - p₀)) / (f(p₁) - f(p₀))

3 p₂ - (f(p₂) * (p₂ - p₁)) / (f(p₂) - f(p₁))

We continue the iteration until the desired approximation error is achieved, i.e., RE(Pn ≈ PN-1) < 10^(-6). At each step, we update p_n using the Secant method formula, and we calculate the relative error to check the convergence criterion.

Please note that since the exact form of f(x) is not provided, we cannot determine the exact values of pn without numerical computations. However, you can follow the given steps and use a calculator or a computer program to perform the necessary calculations to obtain the approximations.

Remember to check the relative error at each step and stop the iteration once the desired accuracy is reached.

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Answer:

10m-5t

Step-by-step explanation:

3(4m-3t) - 2(m-2t)

(12m - 9t) + (-2m+4t)

12m-2m - 9t+4t

10m-5t

Answer:

Step-by-step explanation:

3(4m - 3t) = 12m - 9t    

-2(m - 2t) = -2m + 4t

Write the 2 terms together.

12m - 9t -2m + 4x

12m - 2m - 9t + 4t

10m - 5t

sum_{k=2}^{26}\binom{26}{k}

To find out the value of the given expression, we will use the Vander monde's Identity which is as follows;\[\binom{m+n}{r} = \sum_{k=0}^r\binom{m}{k}\binom{n}{r-k}\]On comparing this with the given expression, we see that $m=n=26$, and $r=0, 1, 2, \cdots, 26$.Now we substitute these values in the given expression.\[\begin{aligned} 22\binom{26}{0} 21\binom{26}{1} 20\binom{26}{2} \cdots (-3)\binom{26}{25} (-4)\binom{26}{26} & = 22\binom{26}{26} - 21\binom{26}{25} + 20\binom{26}{24} - \cdots -3\binom{26}{3} + (-4)\binom{26}{2} \\ &= \binom{26}{26} - \left(\binom{26}{24} - \binom{26}{25}\right) + \left(\binom{26}{22} - \binom{26}{23}\right) - \cdots - \left(\binom{26}{4} - \binom{26}{3}\right) + \binom{26}{2} \\ &= \binom{26}{26} + \binom{26}{25} + \binom{26}{24} + \binom{26}{23} + \cdots + \binom{26}{4} + \binom{26}{3} + \binom{26}{2} \\ &= \sum_{k=2}^{26}\binom{26}{k} \end{aligned}\]Thus, we obtain $\sum_{k=2}^{26}\binom{26}{k}$ as the simplified value of the given expression.

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Answer:

A square or cube....

Step-by-step explanation:

Who keep spamming random questions????

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

Sequences can be generated by using recursive formulas, that is, formulas that are in terms of the previous elements of a sequence. Herein we find a case of sequences by using recurrence formulas, whose procedure is shown below:

n = 1

f(1) = 7

n = 2

f(2) = 2 · f(1) + 3

f(2) = 17

n = 3

f(3) = 2 · f(2) + 3

f(3) = 37

n = 4

f(4) = 2 · f(3) + 3

f(4) = 77

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

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D) 4a-3a²b-6³ - 4ab².

Step-by-step explanation:

To simplify the expression 4a - b(3a² + b² + 4ab), you can use the distributive property to expand the term inside the parentheses:

4a - b(3a² + b² + 4ab)

= 4a - b3a² - bb² - b*4ab

= 4a - 3a²b - b³ - 4ab²

The correct answer is therefore D) 4a-3a²b-6³ - 4ab².

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

x = -13

Step-by-step explanation:

2x-3x+5=18

Combine like terms

-x +5 = 18

Subtract 5 from each side

-x +5-5 = 18-5

-x = 13

Multiply each side by -1

x = -13

Answer:

\(\huge \boxed{{x=-13}}\)

Step-by-step explanation:

\(2x-3x+5=18\)

\(\sf Combine \ like \ terms.\)

\(-1x+5=18\)

\(\sf Subtract \ 5 \ from \ both \ sides.\)

\(-1x+5-5=18-5\)

\(-1x=13\)

\(\sf Multiply \ both \ sides \ by \ -1.\)

\(-1x \times (-1)=13 \times (-1)\)

\(x=-13\)

Answer:

1,3,4

Step-by-step explanation:

Just did it

Answer:

120x

Step-by-step explanation:

100/5x (4 + 2)

100/5x (6)

20x (6)

120x

Hope I helped! pls give branliest

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.

Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.

Survey sampling involves three steps, which are:

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To find the height of the plant when p = 90 years, we can substitute p = 90 into the polynomial function \(R(p) = -2p^2 + 270p\)and evaluate it.

\(R(p) = -2p^2 + 270p\)

Substituting p = 90:

\(R(90) = -2(90)^2 + 270(90)\)

= -2(8100) + 24300

= -16200 + 24300

= 8100

Therefore, when p = 90 years, the height of the plant is 8100 inches.

Let's break down the problem step by step to provide a more detailed explanation.

The given polynomial function for the height of the plant is:

\(R(p) = -2p^2 + 270p\)

To find the height of the plant when p = 90 years, we substitute p = 90 into the function:

\(R(90) = -2(90)^2 + 270(90)\)

First, we evaluate the exponentiation:

R(90) = -2(8100) + 270(90)

Then, we perform the multiplications:

R(90) = -16200 + 24300

Finally, we add the two terms:

R(90) = 8100

Therefore, when the plant is 90 years old, the height of the plant is 8100 inches.

The polynomial function \(-2p^2 + 270p\) represents a quadratic relationship between the age of the plant (p) and its height (R(p)). By substituting the specific value of p into the function, we can determine the corresponding height of the plant. In this case, when p = 90 years, the height of the plant is calculated to be 8100 inches.

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The correct option is D. 2x + 7 is used for solving the equation by substitution.

The following are the two given equations;

4x = 5 - 2y  .......equation 1

y - 2x = 7    .......equation 2;

using substitution mean put the value of one variable from 1 equation into the other.

Consider equation 2;

y - 2x = 7

y = 2x + 7  

Put this in equation 1;

4x = 5 - 2y

4x = 5 - 2(2x + 7)

Simplifying;

4x = 5 - 4x - 14

4x = 9 - 4x

8x = 9

x = 9/8

Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).

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The error in the given solution was adding the numerators while ignoring the Denominators.

Solve the expression:$$\frac{3x+2}{x^2-4x-12} + \frac{2x-1}{x^2-x-12}$$

$$\frac{3x+2}{x^2-4x-12} + \frac{2x-1}{x^2-x-12}$$$$= \frac{3x+2}{(x+2)(x-6)} + \frac{2x-1}{(x+3)(x-4)}$$$$= \frac{(3x+2)(x+3)}{(x+2)(x-6)(x+3)} + \frac{(2x-1)(x+2)}{(x+3)(x-4)(x+2)}$$

Using the least common denominator and adding, we get$$\frac{(3x+2)(x+3)}{(x+2)(x-6)(x+3)} + \frac{(2x-1)(x+2)}{(x+3)(x-4)(x+2)}$$$$= \frac{(3x+2)(x+3) + (2x-1)(x+2)}{(x+2)(x-6)(x+3)}$$$$= \frac{3x^2 + 11x + 4}{(x+2)(x-6)(x+3)}$$

Correct Answer:$$\frac{3x+2}{x^2-4x-12} + \frac{2x-1}{x^2-x-12}$$$$= \frac{(3x+2)(x-4) + (2x-1)(x+3)}{(x-6)(x+3)(x-4)}$$$$= \frac{3x^2 - 10x - 5}{(x-6)(x+3)(x-4)}$$

Error Analysis:The given problem was solved using the correct approach to add or subtract rational expressions. However, the calculations made were incorrect.

The error made in the solution was the addition of the numerators while ignoring the denominators, which is not allowed. The correct method to add or subtract rational expressions is to find the least common denominator (LCD) of the given expressions.

The LCD of the given expressions is $(x+2)(x-6)(x+3)(x-4)$.After finding the LCD, we rewrite each term with the same denominator, and then add or subtract the numerators.

In this problem, the correct solution would be$$\frac{3x+2}{x^2-4x-12} + \frac{2x-1}{x^2-x-12}$$$$= \frac{(3x+2)(x-4) + (2x-1)(x+3)}{(x-6)(x+3)(x-4)}$$$$= \frac{3x^2 - 10x - 5}{(x-6)(x+3)(x-4)}$$

Therefore, the error in the given solution was adding the numerators while ignoring the denominators.

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Answer:

Additive inverse is -2

Multiplicative inverse is 1/2

Answer:

2 is an integer then the multiplicative inverse of 2 is \[\dfrac{1}{2}\]. Hence, we obtained the additive inverse of 2 is -2 and the multiplicative inverse of 2 is \[\dfrac{1}{2}\].5 days ago

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The sum of additive inverse and multiplicative inverse of 2 is ______.(a). \\[\\dfrac{3}{2}\\](b). \\[\\dfrac - Vedantu

This limit does not exist, the integral ₁∫[infinity] h(x) dx does not converge.

We can start by considering the integral ₁∫[infinity] 1/x^4. This integral diverges, since the function 1/x^4 approaches infinity as x approaches zero, and hence the area under the curve is infinite.

Next, we need to find a continuous function h(x) such that 0≤1/x^4 ≤ h(x) on [1, [infinity]o). Since 1/x^4 is a decreasing function on this interval, we can choose h(x) to be the horizontal line passing through the point (1,1), which is the maximum value of 1/x^4 on this interval. Therefore, h(x) = 1.

Finally, we can evaluate the integral ₁∫[infinity] h(x) dx using the improper integral test. We have:

₁∫[infinity] h(x) dx = lim a→∞ ∫[1,a] h(x) dx

= lim a→∞ [x]₁a

= lim a→∞ (a - 1)

Since this limit does not exist, the integral ₁∫[infinity] h(x) dx does not converge.

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Answer:

Step-by-step explanation:

The remaining amount of the substance with the half life of 64.9 days after 100 days is 2.749.

To calculate the amount that remains  after 100 days, this formular can be used

amount remaining = \(a (0.50)^{\frac{t}{h} }\)

where t is the time that was required for the process to take place, where t is 100 days.

h is the halftime, which is been given as 64.9 days

where a is given as the initial amount that is present which is 8.

Then the values can be substituted to have

\(=a (0.50)^{\frac{100}{64.9} }\)

= 2.749

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Answer:

m = 2/3 and b = 1

Step-by-step explanation:

This is an equation is slope-intercept form: y = mx + b where m is the slope and b is the y intercept.

This means m = 2/3 and b = 1

The probability that the sample mean service time is more than 4 minutes is approximately 9.12%.

The probability that the sample mean is more than 4 minutes can be determined using the central limit theorem.

The central limit theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution.

Since the service time follows an exponential distribution, which is a continuous distribution, the sample mean will also follow a normal distribution.

The mean of the sample mean will be equal to the population mean, which is 3 minutes, and the standard deviation of the sample mean will be equal to the population standard deviation divided by the square root of the sample size, which is 3/sqrt(49) = 3/7.

To find the probability that the sample mean is more than 4 minutes, we can calculate the z-score corresponding to 4 minutes using the formula z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have z = (4 - 3) / (3/7) = 7/3.

Using a standard normal distribution table or a calculator, we can find the probability corresponding to this z-score. In this case, the probability that the sample mean is more than 4 minutes is approximately 0.0912, or 9.12%.

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Answer:

424

Step-by-step explanation:

SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}

therefore: 2 [32 + 60 + 120]

therefore: 64 + 120 + 240

therefore: 360 + 64

therefore: 424

Answer:

424

Step-by-step explanation:

To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.

Hope this helped!

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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