does anybody know this?? please it would help a lot

Answer:

cos=24/25

tan=7/24

Step-by-step explanation:

sin=opposite/hypotenuse

therefore 7 is the opposite and 25 is the hypotenuse.

using pythagorean theorem we can find the adjacent. i.e hypotenuse squared= sum of adjacent squared and opposite squared.

h^2= a^2+ O^2

25 squared - 7 squared= 576

which is equal to 24 squared.

therefore adjacent=24

cos=adjacent/hypotenuse

cos=24/25

tan=opposite/adjacent

tan=7/24.

Answer:

\(\cos(\theta)= \dfrac{24}{25}\)

\(\tan(\theta)=\dfrac{7}{24}\)

Step-by-step explanation:

Definitions of primary trig functions

For a given acute angle in a right triangle :

...where the hypotenuse is the side across from the right angle, the opposite side is the side not touching the angle theta, and the adjacent side is the side touching the angle theta (but that isn't the hypotenuse).

We are already given the ratio for the Sine function, so we need to find the Cosine and Tangent function ratios.  It will be helpful to visualize what this triangle looks like.

The given equation states \(\sin(\theta)=\frac{7}{25}\), so there is some right triangle, with a specific angle theta, that has a ratio of sides (opposite to hypotenuse) of 7 to 25.  For ease, we'll consider the triangle that has actual side lengths of 7 and 25 for those sides.  (See attached diagram)

Given that information, we can identify that the unknown side length is the adjacent side length.  Since the triangle is a right triangle, this value can be found through the Pythagorean Theorem.

The Pythagorean Theorem states that for any right triangle, \(a^2+b^2=c^2\) where "c" is the length of the hypotenuse of the triangle, and "a" and "b" are the lengths of the other two sides of the triangle (often called "legs").  It does not matter which leg is chosen to be side "a" or side "b" due to the commutative property of addition, but "c" must be the hypotenuse.

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

Substituting known values, and simplifying...

\(a^2+(7)^2=(25)^2\)

\(a^2+49=625\)

Subtracting 49 from both sides to begin to isolate "a", and simplifying...

\((a^2+49)-49=(625)-49\)

\(a^2=576\)

Applying the square root property to isolate "a", and simplifying/calculating...

\(\sqrt{a^2}=\pm \sqrt{576}\)

\(a=\pm 24\)

\(a=24\)  or  \(a=-24\)

Under the assumption that the triangle is an acute triangle, the adjacent side length is a positive value, so we reject the negative solution, deducing that the adjacent side length must be 24.

Side note:  If there is more information in the context of the question that suggests that theta may be larger than 90°, then other factors will need to be taken into account.

Returning to the trig ratio definitions, we can identify the requested cosine and tangent ratios

\(\cos(\theta)=\dfrac{\bold{adjacent} \text{ side length}} {\bold{hypotenuse} \text{ length}} = \dfrac{24}{25}\)

\(\tan(\theta)=\dfrac{\bold{opposite} \text{ side length}} {\bold{adjacent} \text{ side length}}=\dfrac{7}{24}\)

Jeri's reservation wage is $39.8 per week. Jack's optimal choice of hours of leisure is 66.42 hours per week.

For Jeri's reservation wage, we need to find the wage rate at which she would be indifferent between working and not working. Her marginal utility of leisure is given as MUL = 451L^0.1, and her marginal utility of consumption is UU = 4C^0.5. To find the reservation wage, we equate the marginal utility of leisure to the marginal utility of consumption and solve for the wage rate.

Similarly, for Jack's optimal choice of hours of leisure, we need to maximize his utility by choosing the right balance between leisure and work. His marginal utility of consumption is given as MU C = L - 49, and his marginal utility of leisure is MU L = C - 162. We can set up a utility maximization problem by equating the marginal utilities of leisure and consumption and solve for the optimal hours of leisure.

The total number of employed males in the civilian labor force in the U.S. in 2020 can be obtained from the Bureau of Labor Statistics (BLS) website. Without the specific data available, we cannot provide an accurate answer to the number of employed males in 2020. It is recommended to refer to the BLS website or their published reports for the most up-to-date and accurate information.

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Answer:

Step-by-step explanation:

Reading the box and whisker plot for Brand X, we identify that:

25% of batteries lasted for 10 - 14 hours and the rest lasted longer than 14 hours.

It means the number of batteries lasted more than 14 hours is:

Answer:

n-16=29 doesn't belong

Step-by-step explanation:

When you solve all the equations, you get n=13, but n can't equal 13 when you plug it in the equation n-16=29. N would have to equal 45.

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

a) Solving the system using substitution:

We know that: x+y=2 (i)3x+y=0 (ii)We will solve equation (i) for y:y=2-x

Now, substitute this value of y in equation (ii):3x + (2-x) = 03x+2-x=0 2x = -2 x = -1

Substitute the value of x in equation (i):x + y = 2-1 + y = 2y = 3b)

Solving the system using elimination (linear combination) :

We know that: x+y=2 (i)3x+y=0 (ii)

We will subtract equation (i) from equation (ii):3x + y - (x + y) = 0 2x = 0 x = 0

Substitute the value of x in equation (i):0 + y = 2y = 2c)

Solving the system by graphing:We know that: x+y=2 (i)3x+y=0 (ii)

Let us plot the graph for both the equations on the same plane:

                                graph{x+2=-y [-10, 10, -5, 5]}

                                 graph{y=-3x [-10, 10, -5, 5]}

From the graph, we can see that the intersection point is (-1, 3)d)

We calculated the value of x and y in parts a, b, and c and the solutions are as follows:

Substitution: x = -1, y = 3

Elimination: x = 0, y = 2

Graphing: x = -1, y = 3

We can see that the value of x is different in parts a and b but the value of y is the same.

The value of x is the same in parts a and c but the value of y is different.

However, the value of x and y in part c is the same as in part a.

Therefore, we can say that the solutions of parts a, b, and c are not the same.

However, we can check if these solutions satisfy the original equations or not. We will substitute these values in the original equations and check:

Substituting x = -1 and y = 3 in equations (i) and (ii):x + y = 2-1 + 3 = 2 (satisfied)3x + y = 0-3 + 3 = 0 (satisfied)

Therefore, the values we obtained for x and y are the correct solutions.

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Answer:

142.85?

Step-by-step explanation:

The exact length of the polar curve in this problem is given as follows:

320,597 units.

The definition of a polar curve is given as follows:

r(θ).

Then the length of the curve over an interval a ≤ θ ≤ b is given by the definite integral presented as follows:

\(L = \int_{a}^{b} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} d\theta\)

The curve in this problem is given as follows:

\(r = e^{2\theta}\)

The derivative is given as follows:

\(\frac{dr}{d\theta} = 2e^{2\theta}\)

Then the arc length is given by the integral presented as follows:

\(L = \int_{0}^{2\pi} \sqrt{e^{4\theta} + 4e^{4\theta}} d\theta\)

\(L = \int_{0}^{2\pi} \sqrt{5e^{4\theta}} d\theta\)

\(L = \sqrt{5}(\int_{0}^{2\pi} e^{2\theta} d\theta)\)

\(L = \frac{\sqrt{5}}{2}(e^{2\theta})|_{\theta = 0}^{\theta = 2\pi}\)

Applying the Fundamental Theorem of Calculus to solve the double integral, the length of the arc is givena s follows:

\(L = \frac{\sqrt{5}}{2}(e^{4\pi} - 1)\)

L = 320,597 units.

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Answer:

-2

Step-by-step explanation:

the zero of the function is -2 because it's the root of the equation when y= 0

Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

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Answer:

multiply by 3 and divide by 2

Step-by-step explanation:

10 * 3/2

We multiply by 3 and divide by 2

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

\(\dfrac{15}{x} - \dfrac{6}{x-2}=1\)

Now, simplify the above expression.

\(15(x-2)-6(x)=x(x-2)\)

\(15x-30-6x=x^2-2x\)

\(x^2-11x+30=0\)

Factorize the above equation.

\(x^2-6x-5x+30=0\)

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

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We can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

We can use the standard normal distribution to solve this problem.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the normal distribution of the tensile strength to the standard normal distribution using the formula below.z = (x - μ) / σwhere x is the tensile strength, μ is the mean, and σ is the standard deviation.

a) To determine the number of parts that are expected to fail to meet a minimum specification limit of 35 lb tensile strength, we need to find the probability that a part has a tensile strength less than 35 lb. z = (35 - 40) / 5 = -1P(z < -1) = 0.1587

The probability of a part having a tensile strength of less than 35 lb is 0.1587. Therefore, the number of parts expected to fail to meet a minimum specification limit of 35 lb tensile strength is given by: Number of parts = Probability × Total number of parts= 0.1587 × 50,000= 7935b)

(b) To determine the number of parts that have a tensile strength over 48 lb, we need to find the probability that a part has a tensile strength greater than 48 lb. z = (48 - 40) / 5 = 1.6P(z > 1.6) = 0.0548

The probability of a part having a tensile strength greater than 48 lb is 0.0548. Therefore, the number of parts that have a tensile strength over 48 lb is given by: Number of parts = Probability × Total number of parts= 0.0548 × 50,000= 2740

Therefore, we can expect that 7935 parts would fail to meet a minimum specification limit of 35 lb tensile strength and 2740 parts would have a tensile strength over 48 lb.

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Answer:

60 years

Step-by-step explanation:

2009 -> 80 years

             +5.5

2019 ->  85.5 years

             +5.5

2029  -> 91 years

              +5.5

2039  -> 96.5 years

             +5.5

2049  -> 102 years

              +5.5

2059  -> 107.5 years

              +5.5

2069  -> 113 years

The better definition of leg include the following: D. either of the two sides that form the right angle.

In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Generally speaking, the longest side (hypotenuse) of a triangle is equal to the sum of the square of two shorter sides (legs):

a² + b² = c²

Where:

a, b, and c represents the legs, side lengths or length of sides of a right angled triangle.

In conclusion, the legs in Mathematics simply refers to the opposite side and adjacent side of a right angled triangle.

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Answer:

This does not make sense

Step-by-step explanation:

Answer: x3 • (x6 - x3 - 1)

Step-by-step explanation:Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  x9 - x6 - x3  =   x3 • (x6 - x3 - 1)

Trying to factor by splitting the middle term

2.2     Factoring  x6 - x3 - 1

The first term is,  x6  its coefficient is  1 .

The middle term is,  -x3  its coefficient is  -1 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   -1 .

     -1    +    1    =    0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x3 • (x6 - x3 - 1)

The domain of the function h(x) = 2x³/∑x-5, in interval notation, is (-∞, 5) U (5, +∞)

The domain of the function h(x) = 2x³/∑x-5, we need to identify any restrictions on the values of x that would make the denominator equal to zero.

In this case, the denominator is ∑x - 5. For the function to be defined, we cannot divide by zero. Therefore, we need to find the values of x for which ∑x - 5 = 0.

∑x - 5 = 0 x - 5 = 0 (since ∑x represents the sum of all x values) x = 5

So, x cannot be equal to 5 in order to avoid division by zero.

Therefore, the domain of the function h(x) = 2x³/∑x-5, in interval notation, is (-∞, 5) U (5, +∞).

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The 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium is approximately 93.47°C to 100.53°C.

What is a confidence interval?

A confidence interval is a statistical range of values within which an unknown population parameter, such as a mean or a proportion, is estimated to fall with a certain level of confidence. It is a measure of the uncertainty associated with estimating a population parameter based on a sample.

According to the given information:

Based on the given information:

n = 56 (number of readings)

xbar = 97°C (mean temperature)

sigma = 17°C (standard deviation)

c-level = 90% (confidence level)

To compute the 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium, we can use the following formula:

Confidence Interval = xbar ± (Zc * (sigma / sqrt(n)))

where:

xbar is the sample mean

Zc is the critical value corresponding to the desired confidence level (c-level)

sigma is the population standard deviation

n is the sample size

First, we need to find the Zc value for a 90% confidence level. The Zc value can be obtained from a standard normal distribution table or using a calculator or software. For a 90% confidence level, Zc is approximately 1.645.

Plugging in the given values:

xbar = 97°C

Zc = 1.645

sigma = 17°C

n = 56

Confidence Interval = 97 ± (1.645 * (17 / sqrt(56)))

Now we can calculate the confidence interval:

Confidence Interval = 97 ± (1.645 * (17 / sqrt(56)))

Confidence Interval = 97 ± (1.645 * 2.1416)

Confidence Interval = 97 ± 3.5321

Rounding to 2 decimals:

Confidence Interval ≈ (93.47, 100.53)

So, the 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium is approximately 93.47°C to 100.53°C.

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Answer:

Ratio 1 = a(240

=b)120

=c)360

Ratio 2=a)400

=b)320

Step-by-step explanation:

On both of the ratios you first add them then divide one by one like this for example 2+1+3= 6

then 2/6 ÷720 = 120 ×2 =240 then you do this to the other numbers as well.

The ordered pairs for the function f(x) = x² + 5x - 2 for -3 ≤ x ≤ 1 are (-3, -8), (-2, -8), (-1, -6), (0, -2), and (1, 4).

In order to find the ordered pairs of the function f(x) = x² + 5x - 2, we need to substitute the x-values within the specified range into the function and ascertain the y-values (f(x)) that correspond with them.

In the interval between -3 and 1, our x-values consist of -3, -2, -1, 0, and 1. Next, we will input each of these values into the function.

For x = -3:

f(-3) = (-3)² + 5(-3) - 2 = 9 - 15 - 2 = -8

So the ordered pair is (-3, -8)

For x = -2:

f(-2) = (-2)² + 5(-2) - 2 = 4 - 10 - 2 = -8

So the ordered pair is (-2, -8)

For x = -1:

f(-1) = (-1)² + 5(-1) - 2 = 1 - 5 - 2 = -6

So the ordered pair is (-1, -6)

For x = 0:

f(0) = (0)² + 5(0) - 2 = 0 + 0 - 2 = -2

So the ordered pair is (0, -2)

For x = 1:

f(1) = (1)² + 5(1) - 2 = 1 + 5 - 2 = 4

So the ordered pair is (1, 4)

So, the ordered pairs for the function f(x) = x² + 5x - 2 for -3 ≤ x ≤ 1 are (-3, -8), (-2, -8), (-1, -6), (0, -2), and (1, 4).

The table of values:

x f(x)

-3 2

-2 0

-1 2

0 -2

1 4

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Create a table of values for the function f(x) = x² + 5x - 2 for the range of x values from -3 to 1, inclusive.

is this a question or a answer

Answer:

4d=48

Step-by-step explanation:

Answer:

speed

Step-by-step explanation:

109 dollars Martin have saved before he bought the drone .

Using the conditions stated, come up with: x -68 = 41

Put the variables on the equation's left side: x = 41 + 68

Determine the difference or total: x = 109

Savings are the funds that remain after subtracting one's obligations. Cash is stored as a sort of savings.

Savings are unused funds or postponed spending. A deposit account, a pension account, an investment fund, or cash are just a few examples of ways to save money. Reducing expenses, such as recurrent fees, is a part of saving as well. The portion of money left over after paying for current expenses is what is saved. In other words, it refers to money that has been set away for use later on rather than being immediately spent. Saving enhances emotions of security and tranquilly by acting as a financial "backstop" for life's unforeseen events.

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The  first 5 terms of the sequence are 2,4,6,8,10

The term Arithmetic Progression (AP) is a sequence in which the terms are gotten by the addition of a common  term know as the common difference

The given parameter for the sequence is

Each table accommodates 4 people

It can be linked to accommodate more people

This means that the guests are seated each on one side of the table making the table been a square

When it is linked, then one person has to go out from one end remaining three people then two people sit on side two one side, one at one end and one at one end. making it 6 people

First term is 4

Second term is 6

Common difference is 6-4 = 2

Then the terms are 4, 6, 8, 10, .....

In conclusion, the  first 5 terms of the sequence are 2,4,6,8,10

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Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  \(S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.\)

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, \(n^{13} \equiv n \mod p \) if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in \(2^{13}-2\) and \(3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.\)

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

This may help you

look it once.

\(\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}\)

Question 1 :

\( \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)\)

_____________________________

\(\small a⁴b⁴ + 1 + a²b² - c² + 2abc\)

\(\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc\)

\(\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc \)

\(\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc\)

\(\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc\)

\(\small(a²b² + 1)² - a²b² - c² + 2abc\)

\(\small(a²b² + 1)² - (a²b² + c² - 2abc)\)

\(\small(a²b² + 1)² - (ab - c)²\)

\(\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)\)

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)