INTEGRALS HELP PLEASEEE I’LL GIVE U A CROWN.

Answer:

166 meters/minute

Step-by-step explanation:

get speed in m/sec by multiplying 10 with 5/18

=

2.7m/sec

multiply it by 60 to get meters/minute

=

166 meters/minutes

Answer: 10/60, so 1/6 of a km of km per minute

Step-by-step explanation:

Answer:

The angle marked E is 120 degrees

Step-by-step explanation:

Here, we want to get the value of the angle marked E

when two triangles are similar/congruent, we have equal angle measures

Using the markings, we can deduce the following relationships;

4y -28 = 83 + y

4y-y = 83 + 28

3y = 111

y = 111/3

y = 37

So, we have;

4y-28 as

4(37) - 28

= 120

Answer:

70 feet

Step-by-step explanation:

A kite is flying 30 feet from a stop sign

The child flying the kite is standing 40 feet from the stop sign

Therefore the length of the string from the child to the kite can be calculated as follows.

= 30 feet + 40 feet

= 70 feet

Answer:

50 feet

Step-by-step explanation:

It's supposed to be 30x30= 900, 40x40= 1'600

900+1600=2500. 2500 square rooted= 50

the answer is 50

so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that

Answer:

x = 3.08

Step-by-step explanation:

Construct a perpendicular AD from point A to opposite side BC,

By sine ratio,

sin(45)° = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

\(\frac{1}{\sqrt{2}}= \frac{AD}{(x+2)}\)

AD = \(\frac{x+2}{\sqrt{2}}\)

Area of a triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                             = \(\frac{1}{2}(BC)(AD)\)

\(4\sqrt{2}=\frac{1}{2}(2x-3)\frac{(x+2)}{\sqrt{2} }\)

(2x - 3)(x + 2) = 16

2x(x + 2) - 3(x + 2) = 16

2x² + 4x - 3x - 6 = 16

2x² + x - 6 = 16

2x² + x - 22 = 0

By using quadratic formula,

x = \(\frac{-1\pm\sqrt{(1)^{2}-4(2)(-22)}}{2(2)}\)

x = \(\frac{-1\pm\sqrt{177}}{4}\)

x = 3.076, -3.576

x ≈ 3.08, -3.58

But length of the sides can't be negative

Therefore, x = 3.08 will be the answer.

Answer:

Homework

Step-by-step explanation

I got the answer by telling you to TRY and do your own homeowrk, Have you TRIED at least?!?!?

Answer:

10.77

Step-by-step explanation:

2 * \(\sqrt29\) = 10.77032961...

Round to the nearest 10th

10.77

Answer: you answer is 10.77

Step-by-step explanation:

a. the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

a. The current IRR (Internal Rate of Return) on this project can be found by using linear interpolation with x₁ = 7% and x₂ = 8%. Let's calculate it:

We have the following cash flows: Year 0: -150,000 Year 1: 60,000 Year 2: 75,000 Year 3: 90,000 Year 4: 105,000

Using x₁ = 7%: NPV₁ = -150,000 + 60,000/(1+0.07) + 75,000/(1+0.07)² + 90,000/(1+0.07)³ + 105,000/(1+0.07)⁴ ≈ 2,460.03

Using x₂ = 8%: NPV₂ = -150,000 + 60,000/(1+0.08) + 75,000/(1+0.08)² + 90,000/(1+0.08)³ + 105,000/(1+0.08)⁴ ≈ -8,423.86

Now we can use linear interpolation to find the IRR:

IRR = x₁ + ((x₂ - x₁) * NPV₁) / (NPV₁ - NPV₂) = 7% + ((8% - 7%) * 2,460.03) / (2,460.03 - (-8,423.86)) ≈ 7.49%

Therefore, the current IRR on this project is approximately 7.49%.

b. The current MARR (Minimum Acceptable Rate of Return) is not given in the question. Please provide the MARR value so that we can calculate it.

c. The answer to whether they should invest or not depends on the comparison between the IRR and the MARR. Once the MARR value is provided, we can compare it with the calculated IRR to determine if they should invest.

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The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during set  World War II.

The purpose of Lend-Lease was to provide military aid to countries fighting against the Axis powers during World War II. The program was enacted by the United States in 1941 and allowed the US to provide war materials to its allies without requiring repayment. It was a major factor in the Allied victory, as it allowed the US to supply its allies with much needed war material and resources. The US provided a variety of goods, including food, oil, weapons, and tanks. It also supplied the Soviet Union with millions of tons of military equipment and supplies. Lend-Lease was instrumental in helping the Allies win the war, as it allowed them to gain a huge advantage over the Axis powers by providing essential supplies and resources.

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The equation of the polynomial is P(x) = (x - 4)(x - 6)(x + 3)²

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

The given parameters are

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of the zeros 4 and 6 is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x - (-3))² * (x - 4) * (x - 6)

This gives

P(x) = (x - 4)(x - 6)(x + 3)²

Hence, the equation is P(x) = (x - 4)(x - 6)(x + 3)²

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Answer:

C is the correct answer.

Step-by-step explanation:

\((10 + 9x) + (6x + 10) = 170 \\ \\ \)

We can be 90% confident that the true mean salary of high school counselors in the United States falls within the range of $43,298.79 to $57,578.35.

To construct a 90% confidence interval for the mean salary of high school counselors in the United States, we can use the formula:

Confidence Interval = Mean ± (Z * Standard Error)

Step 1: Calculate the mean of the sample salaries:
Mean = ($50,810 + $36,380 + $50,870 + $55,860 + $61,800 + $36,280 + $62,890) / 7

= $50,438.57 (rounded to the nearest dollar)

Step 2: Calculate the standard deviation of the sample salaries:

Standard Deviation = √( [($50,810 - $50,438.57)² + ($36,380 - $50,438.57)² + ($50,870 - $50,438.57)² + ($55,860 - $50,438.57)² + ($61,800 - $50,438.57)² + ($36,280 - $50,438.57)² + ($62,890 - $50,438.57)²] / 6 )

= $11,478.84 (rounded to the nearest dollar)

Step 3: Calculate the standard error:
Standard Error = Standard Deviation / √(sample size)
Standard Error = $11,478.84 / √(7) = $4,340.61 (rounded to the nearest dollar)

Step 4: Determine the Z-value for a 90% confidence level.
Z-value = 1.645 (lookup from Z-table for 90% confidence level)

Step 5: Calculate the Confidence Interval:
Confidence Interval = $50,438.57 ± (1.645 * $4,340.61)

= $50,438.57 ± $7,139.78

We can be 90% confident that the true mean salary of high school counselors in the United States falls within the range of $43,298.79 to $57,578.35.

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Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

All three angles are equal, so all three sides are equal, making this an equilateral triangle

5x+10 = 2x-8

Subtract 2x from each side

5x-2x +10 = 2x-8-2x

3x+10 = -8

Subtract 10 from each side

3x+10-10 = -8-10

3x = -18

Divide by 3

3x/3 = -18/-3

x = -6

Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

To find out how far Maria skied and for how long, we'll use the given information and apply the distance-rate-time formula. The formula is Distance = Rate × Time.
First, let's convert the given 30 minutes into hours since the rates are in km/hr.
30 minutes = 30/60 = 0.5 hours.
Let x be the distance Maria skied up and down, and let t1 and t2 be the time taken to go up and down, respectively.
For the ski lift(going up):
Distance = Rate × Time
x = 6 × t1
For skiing down:
Distance = Rate × Time
x = 34 × t2
Since the round trip took 0.5 hours, we have:
t1 + t2 = 0.5
Now we have a system of equations:
x = 6 × t1
x = 34 × t2
t1 + t2 = 0.5
From the first equation, we can express t1 as:
t1 = x/6
From the second equation, we can express t2 as:
t2 = x/34
Now substitute these expressions into the third equation:
(x/6) + (x/34) = 0.5
To solve for x, find a common denominator (in this case, 102) and combine the fractions:
(17x + 3x) / 102 = 0.5
20x = 51
x = 51/20
x = 2.55 km
Now, we can find t1 and t2:
t1 = x/6 = 2.55/6 = 0.425 hours
t2 = x/34 = 2.55/34 = 0.075 hours
So, Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

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Answer:

Try a,d,b,a

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

How is your day??

Answer:

Hello

How are you doing??

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

Answer:

Your order will be √7, 1.5, 1/3, -1, and -9/2

Step-by-step explanation:

7 squared would be 2.64. 1 divided by 3 would be .333. Negative 9 over 2 would be -4.5.

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

L=165 W=135

Step-by-step explanation:

I plugged in numbers till I found the right fit or you could use the equation P=L+W

Answer: Length of one side: 165  Width of one side: 135

Step-by-step explanation: hope this helps

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

\(( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} \)

LHS:

\( (\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2} \)

~ Insert "2" instead of "x".

\( (\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} \)

Simplify it;

\( \frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2} \)

Therefore; (f/g)(2) = 7/4.

RHS:

\( \frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2} \)

~Insert "2" instead of"x".

\( \frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2} \)

Simplify it.

\( \frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2} \)

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

Step-by-step explanation:

Soo :

\( \tt( \frac{f}{g} )(2) = \frac{f(2)}{g(2)} \)

\( \tt( \frac{ {x}^{2} + 2x - 1 }{3x - 2} )(2) = \frac{ {2}^{2} + 2(2) - 1 }{3(2) - 2} \)

\( \tt( \frac{ {2}^{2} + 2(2) - 1}{3(2) - 2} )= \frac{7}{4} \)

\( \boxed{ \tt \frac{7}{4} = \frac{7}{4} }\)

Soo true.

The equation, rearranged to isolate c, is: c = (a + bd) / b

In order to isolate c, we need to get c by itself on one side of the equation. Here's how we can do that:

First, we can distribute the b to get:
a = bc - bd

Next, we can add bd to both sides of the equation:
a + bd = bc

Finally, we can divide both sides by b to isolate c:
(a + bd) / b = c

The equation, rearranged to isolate c, is: c = (a + bd) / b

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Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

\(12 = 3.4 = 3 .2.2 = 3.2^{2}\\12^{3} = (3.2^{2} )^{3} = 3^{3}2^{6} \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator } =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2\)  

Answer:

the last one

Step-by-step explanation:

Answer:

1st equation

Step-by-step explanation:

The probability that the iPhone will not die before t hours, given an average battery life of 10 hours, can be calculated using the exponential distribution. The reliability of the device is equal to the probability of surviving beyond t hours, which is given by the equation \(\[P(T > t) = e^{-\lambda t}\]\), where \(\(\lambda\)\) is the rate parameter. In this case, since the average battery life is 10 hours, \(\(\lambda = \frac{1}{10}\)\). Therefore, the probability of reliability is \(\[P(T > t) = e^{-\frac{t}{10}}\]\).

To find the probability of reliability, we use the exponential distribution formula. The exponential distribution is commonly used to model the time until an event occurs, such as the battery dying in this case. The rate parameter, \(\(\lambda\)\), is the reciprocal of the average time until the event occurs.

In this scenario, the average battery life is given as 10 hours. Therefore, the rate parameter \(\(\lambda\)\) is \(\(\frac{1}{10}\)\). The probability that the iPhone will not die before t hours is calculated by finding the complement of the probability that it will die before t hours.

The complement of the event "the iPhone will die before t hours" is "the iPhone will survive beyond t hours." This is represented as \(\(P(T > t)\)\), where T is the time until the battery dies.

Substituting the value of \(\(\lambda\)\) into the exponential distribution formula, we get \(\(P(T > t) = e^{-\frac{t}{10}}\)\). This equation gives us the probability that the iPhone will not die before t hours, which is the reliability of the device.

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The equation provided is:d³x/dt³ - d²x/dt² - 4 dx/dt + 4 x = 0.Here's how to find the general solution of this equation:Solution of the given third order differential equation:Let's find the characteristic equation by considering x(t) = eλt, where λ can be any constant.   Substitute x(t) = eλt in the given differential equation to get the following characteristic equation:λ³eλt - λ²eλt - 4λeλt + 4eλt = 0.On simplification we get the following cubic equation:λ³ - λ² - 4λ + 4 = 0.Now let's solve this cubic equation to get the value of λ as follows:λ³ - λ² - 4λ + 4 = 0On observation we find λ = 1 to be one of the roots of the cubic equation.  So, divide the cubic equation by λ - 1 using long division method to get a quadratic equation.λ³ - λ² - 4λ + 4 = 0λ² (λ - 1) - 4(λ - 1) = 0On simplification, we get:λ² - 4 = 0On solving this quadratic equation, we get two distinct roots,λ = -2, λ = 2Thus the roots of the cubic equation are given as follows: λ = 1, λ = -2, λ = 2.The three possible solutions of the given differential equation are:x(t) = et, x(t) = e-2t, x(t) = e2t.Therefore, the general solution of the given differential equation is:x(t) = c1et + c2e-2t + c3e2t, where c1, c2, c3 are arbitrary constants.The equation (2) of first order system isdx/dt = 4x - y, dy/dt = x + 4yLet's rewrite this equation (2) of first order system as a matrix equation as follows:Write x = [x1, x2]T and x' = [x1', x2']T. Then equation (2) can be written as follows:x' = Ax, where x = [x1, x2]T is the vector and A is the matrix of the form [4, -1; 1, 4].The general solution of x' = Ax is given by the formula,x = c1x1 + c2x2, where c1 and c2 are arbitrary constants and x1 and x2 are the eigenvectors of the matrix A.For finding the eigenvectors of the matrix A, we use the following steps:First, let's find the eigenvalues of the matrix A by solving the characteristic equation of A, which is given by |A - λI| = 0, where I is the identity matrix. On solving this equation, we get the eigenvalues as λ1 = 3, λ2 = 5.Now let's find the eigenvectors of the matrix A corresponding to the eigenvalues λ1 and λ2. For λ1 = 3, we get the eigenvector as x1 = [1, -1]T and for λ2 = 5, we get the eigenvector as x2 = [1, 1]T.Therefore, the general solution of x' = Ax is given by,x = c1[1, -1]Te3t + c2[1, 1]Te5t.Which is the quicker method for finding the general solution?The quicker method for finding the general solution is by the direct method of solving the differential equation and finding its roots to get the general solution. The method of finding the general solution of the first order system by finding the eigenvectors and eigenvalues of the matrix A is a little complicated method.

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