solve 83 with a right triangle and draw the triangle

Solve 83 With A Right Triangle And Draw The Triangle

Answers

Answer 1

We know that tan = opp / adj

arctan x = theta

Taking the tan of each side

x = tan theta = opp / adj

x/1 = tan theta

The hypotenuse :

We can find this using the pythagorean theorem

a^2 + b^2 = c^2

1^2 + x^2 = hyp ^2

The hypotenuse = sqrt( 1+x^2)

Now we can find the cos of the angle

cos theta = adj side/ hypotenuse

cos theta = 1/ sqrt(1+x^2)

Rationalizing the denominator

cos theta = sqrt(1+x^2)/ (1+x^2)

cos ( tan^-1 x) = sqrt(1+x^2)/ (1+x^2)

Solve 83 With A Right Triangle And Draw The Triangle

Related Questions

A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill

Answers

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

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Math Homework: Unit 3 Assignment

Math Homework: Unit 3 Assignment

Answers

8/12 simplified to 2/3

What are the points of the image of the line in Q4 after the dilation?

What are the points of the image of the line in Q4 after the dilation?

Answers

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

How is this so ?

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Jim can type 3850 words in 70 minutes.
David can type 3300 in 60 minutes.
Dan can type 2400 words in 40 minutes.
Who types at the fastest rate of words per minute?​

Answers

Answer:

Dan, because he types 60 words per minute.

Step-by-step explanation:

Jim: 3850/70 = 55 words/minute

David: 3300/60 = 55 words/minute

Dan: 2400/40  = 60 words/minute

How to write any power of 1 without multiplying?

Answers

In indices, the way to write any power of 1 without multiplying is to just write the original number back.

How to compute the value?

It should be noted that indices simply means the lose or exponent that is raised to a number or another variable.

For example 2⁴ simply means that 2 is raised to the power of 4.

It should be noted that in indices, the way to write any power of 1 without multiplying is to just write the original number back.

For example, 2¹ is still 2.

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write the sentence as an inequality. A number x is greater than 6 but less than 10. ​

Answers

Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

What meaning of the statement this?

What meaning of the statement this?

Answers

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

What is the explanation of this ?

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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bought furniture 10,000. wht is credit wht is debit​

Answers

Answer:

Answer

Furniture A/C DR

To Cash A/C

Answer:

what you owe

Step-by-step explanation:

Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If

Is urgent If a line passes through the points (2, 7) and (7,9), its slope isnecessary, use the slash

Answers

Answer and working out attached. Hope this helps
Is urgent If a line passes through the points (2, 7) and (7,9), its slope isnecessary, use the slash

find x and y please explain really well

find x and y please explain really well

Answers

X=30 and y=60 I believe

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

1 22.8 ÷ 0. 92 =
2 34.08 ÷ 0.24 =
3 28.9 ÷ 0.85 =
4 7. 15 ÷ 0.05 =
5 210.21 ÷ 0.91 =




Please answer it​

Answers

Answer:

1. 24.7826087

2. 142

3. 34

4. 143

5. 231

if the answer wants number 1. rounded in tenths, put 24.8

if they want it rounded in hundreths, put 24.78

hope this helps

1) 24.78

2) 142

3) 34

4) 143

5) 231

hope u liked this answer

#keep learning

Part 2: Consider this word problem: "Professor has several tarantulas and frogs. She counts 104 legs and 80 eyes in the room (not including her own). How many of each creature does she have?" Answer the question in a paragraph form. Answer the following: • What bits of information are not explicitly stated in the problem that would help us figure out the answer? Do you need to look anything up orpull some information from the back of your head?• Which mathematical concept(s) that we've gone over so far would be helpful for solving this problem?• Now, solve the problem and explain your solution. (It's OK if your answer isn't completely right. We're here to learn!)

Answers

Okay, here we have this:

Considering the provided information we are going to calculate how many of each creature does she have, so we obtain the following:

• What bits of information are not explicitly stated in the problem that would help us figure out the answer? Do you need to look anything up or

pull some information from the back of your head?:

The missing information of the exercise is the amount of legs and eyes of each type of animal

• Which mathematical concept(s) that we've gone over so far would be helpful for solving this problem?:

The mathematical concept that we apply to solve this exercise will be the systems of equations of two equations by two incognites.

• Now, solve the problem and explain your solution. (It's OK if your answer isn't completely right. We're here to learn!):

According to the given information we obtain the following systems of equations:

8x+4y=104 (Equation of the legs)

8x+2y=80 (Eye equation)

"X" corresponds to the number of tarantulas and "y" to the number of frogs.

Solving:

We will clear x in the second equation:

8x+2y=80

8x=80-2y

x=(80-2y)/8

x=10-2y/8

Replacing in the first equation:

8x+4y=104

8(10-2y/8)+4y=104

80-2y+4y=104

80+2y=104

2y=24

y=24/2

y=12

Using this value of y in the equation of x:

x=10-2y/8

x=10-2(12)/8

x=10-24/8

x=10-3

x=7

Finally we obtain that she has 7 tarantulas and 12 frogs.

Solve the equation 34 - (x + 8) = 6x-2​

Answers

Answer:

x = 4

Step-by-step explanation:

To solve the equation, we would have to solve for the variable x.

34 - (x + 8) = 6x - 2

Remove the parentheses.

34 - x - 8 = 6x - 2

Add 2 to both sides and combine like terms.

28 - x = 6x

Add x to both sides.

28 = 7x

Swap sides.

7x = 28

Divide both sides by 7.

x = 4

So the solution to the equation would be x = 4

I hope you find my answer and explanation to be helpful. Happy studying. :)

The real answer is x=4

The money used in poland is called the zlotych. the exchange rate is 3 zlotych for would $1. find how many zlotych you would receive if you exchanged $3
find the whole number

Answers

Answer:

You would receive 9$

Step-by-step explanation:

if you multiply 3 by 3, then you will get 9

evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b.

Answers

The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is the sum of the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied.

The final amount momentum of the t-shirt is 17.5 kg⋅m/s, which is calculated by summing the initial momentum of the t-shirt (2 kg⋅m/s) and the change in momentum (15.5 kg⋅m/s) due to the force applied. Momentum is a vector quantity which is equal to the product of the mass and velocity of an object. In this case, the t-shirt has a mass of 4 kg and a velocity of 4 m/s. The force of 15 N applied to the t-shirt for 3 seconds causes the t-shirt to accelerate, increasing its velocity from 4 m/s to 8 m/s. This increase in velocity results in an increase in the momentum of the t-shirt from 2 kg⋅m/s to 17.5 kg⋅m/s. Thus, by calculating the change in momentum due to the applied force, we can determine the final momentum of the t-shirt.

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a researcher has conducted a survey using a simple random sample of 500 gold club members to create a confidence interval to estimate the proportion of golf club members favoring a 1% annual increase in dues to remodel the clubhouse assume that the sample proportion does not change the researcher now decides to survey a random sample of 125 people instead of 500 golf club members which of the following statments best describes how the confidence interval is affected by this change

a. The width of new interval is aobut t same width as the original interval
b. the width of the new interval is about twice the width of the original interval
c. the width of the new interval is about one hald the width of the original interval
d. the width of the new interval is about on fourth the width of the original interval
e. the width of the new interval is about 4 times the width of the original interval

Answers

Answer: B.

Procedure we follow in calculating confidence level for proportion.

i. standard error = sqrt ( (p*q) /n) )

ii. margin of error = z a/2 * (stanadard error)

where,

za/2 = z-table value

level of significance, alpha

from standard normal table, two tailed z alpha/2

iii. ci = [ p ± margin of error ]

with above, we see that sample size n is inversely proportional to the confidence level

i.e increasing the sample size narrow the confidence interval

& decreasing the sample size widen the confidence interval.

CI ~ sqrt(1/n)

size is cut down to 4 times, i.e 500/125 = 4 times decreased

CI ~ sqrt(1/(n/4))

CI ~ sqrt(4/(n)

CI ~ 2 * sqrt(1/(n)

from above, we conclude that it is twice the previous

Substitute 3 for x in new equation. Do you get a ture statement explain

Answers

It is not clear what you are asking, as there is no equation provided and the question is somewhat difficult to understand. In general, substituting a value for a variable in an equation means replacing the variable with the given value wherever it appears in the equation. For example, if the equation is "x + 5 = 10," and we substitute 3 for x, we would get "3 + 5 = 10." In this case, the resulting equation is a true statement, because 3 + 5 does indeed equal 10.

URGENT!! ILL GIVE BRAINLIEST! ALONG WITH 100 POINTS

URGENT!! ILL GIVE BRAINLIEST! ALONG WITH 100 POINTS

Answers

I think it goes graphs in order with the equations would be 1st 3rd 2nd

Shawn has some nickels in a jar he put 174 nickels in the jar now he there are 435 nickels in the jar how many nickels were in the jar at the start?

Answers

Shawn has some nickels in a jar

Let x be the number of nickels in the jar

he put 174 nickels in the jar

Number of nickel added = 174

there are 435 nickels in the jar

Total number of nickel in jar = 435

So, Total number of nickel in jar = intial number of nickel in jar + number of nickels added

435 = x + 174

x = 435 - 174

x = 261

There are 261 nickels in the jar.

Answer: 261

Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?

Answers

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

To find the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin, we can use the following steps:

Identify the coordinates of each vertex of triangle XYZ.

Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.

For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)

To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:

X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)

Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:

X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)

Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.

Someone help me please and thank you

Someone help me please and thank you

Answers

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

A certain virus infects one in every 150 people. A test used to detect the virus in a person is positive 70% of the time when the person has the virus and 15% of the time when the person does not have the virus. (This 15% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive."(a) Using Bayes' Theorem, when a person tests positive, determine the probability that the person is infected.(b) Using Bayes' Theorem, when a person tests negative, determine the probability that the person is not infected. Here is the formula that we are given for this particular problem:P(A|B)= P(A) x P(B|A) divided byP(A) x P(B|A) + P(A') x P(B|A')

Answers

I did send him something and he said

A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is 5 minutes. He decides to collect data to see if the mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 11 students, he found the average time was 4.52 minutes and the standard deviation was 0.75 minutes. Using this sample information, conduct the appropriate hypothesis test at the 0.1 level of significance. Assume normality. (can you please show how to do this without a calculator or excel i just dont want answer but want to know how to do it).
a) What are the appropriate null and alternative hypotheses?
A) H0: μ = 5 versus Ha: μ < 5
B) H0: μ = 5 versus Ha: μ ≠ 5
C) H0: x = 5 versus Ha: x ≠ 5
D) H0: μ = 5 versus Ha: μ > 5
b) What is the test statistic? Give your answer to four decimal places.
c) What is the P-value for the test? Give your answer to four decimal places.
d) What is the appropriate conclusion?
A) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.01.
B) Reject the claim that the mean time is 5 minutes because the P-value is larger than 0.01.
C) Reject the claim that the mean time is 5 minutes because the P-value is smaller than 0.01.
D) Fail to reject the claim that the mean time is 5 minutes because the P-value is smaller than 0.01.

Answers

Answer:

A) Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) test statistic = -2.1226

C) p-value = 0.0598

D) Option A is correct

Step-by-step explanation:

We are given;

x = 4.52 minutes

s = 0.75 minutes

μ = 5 minutes

n = 11

degree of freedom = n - 1 = 11 - 1 = 10

A) The hypotheses are;

Null Hypothesis;H0: μ = 5

Alternative Hypothesis;Ha: μ ≠ 5

B) t-statistic = (x - μ)/(s/√n)

(4.52 - 5)/(0.75/√11) = -2.1226

C) From the t-score calculator results attached, the p-value is approximately 0.0598.

D) The P-value of 0.0598 is is greater than the significance level of 0.01, thus we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant. So option A is correct.

A facilities manager at a university reads in a research report that the mean amount of time spent in

Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.​

Answers

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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A battery company produces 12,000 batteries per day. Each day they randomly select 50 to test. If they find that 1 is dead, how many dead batteries would they expect to find among the entire 12,000

Could someone help me solve this please:)

Answers

Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.

For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

One in 50 batteries are dead, hence p = 1/50 = 0.02.There is a total of 12,000 batteries, hence n = 12000.

Then:

E(X) = np = 12000(0.2) = 240

They would expect to find 240 dead batteries among the entire 12,000.

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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}

Enter your answer as an ordered pair, like this: (42, 53)

If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)

If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."

Answers

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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y=-0.024x^2+0.0791x+4.873

Answers

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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Can someone please help

Can someone please help

Answers

Answer:

48

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

We know one angle measures 42°.

Another angle is a right angle, so it measures 90°.

Only the angle labeled x is unknown.

42 + 90 + x = 180

132 + x = 180

x = 48

Answer: 48

The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?

Answers

k = c + 12
m = 3c
k = m
Equating the RHS of the first two equations gives
3c = c + 12
2c = 12
c = 6
There are 6 camels

Find the product.

902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354

Answers

the answer is D
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how might migration lead to the spread and mixing of cultures Will makr brainliest jack jogs and rides his bike for awrite a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day. total of 75 minutes every day. he rides his bike for 15 minutes longer than he jogs. write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day. question 23 tries leftwhich of the following illustrates resting potential in a neuron?the neuron has a slightly higher concentration of positive ions inside than there are outside of it.the neuron has a slightly lower concentration of negative ions inside than there are outside of it.the neuron has the same concentration of negative ions inside than there are outside of it.the neuron has a slightly higher concentration of negative ions inside than there are outside of it. Find all relative extrema for the function z=x4+y4+18x28y2+161 and then match the equation with its graph. Identify where any relative maxima occur. Select the correct choice below and, if necessary, fill in the ans for box within your choice. A. There are relative maxima located at (Simplify your answer Type an ordered pair. Use a comma to separate answers as needed) B. There are no relative maxima Identify the value of the function at any relative maxima. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The values of the local relative are the same at all relative maximum points. The relative maximum value is (Round to three decimal places as needed) Please write a paragraph on why the Hawaiian Kingdom should have been overthrown. Also when collecting evidence please be specific and involve the (year/date, website/link, author, and title) determine the value of mjk in numerical value only a long, thin conductor carries a current of 10.2 a. at what distance from the conductor is the magnitude of the resulting magnetic field 6.88 105 t? a titration is performed where 15.0 ml of 0.100 m penicillin g is titrated with 0.100 m sodium hydroxide (naoh). calculate the ph of the solution after the addition of 5.00 ml of naoh. Constraint 4 & 5 are hard constraints and the rest are soft constraints. Objective Function Min: 2X1+2X2+X3 Min: 2X1+2X2+X3 X1 + X2 + X3=10 5 X1+8 X2 +6X3 21 3,000 X2 10,000 2,400 X4+3,600 X2+1,200 X3=210,000 700 X1+ 900 X2 5,000 What would be the objective function if the goal is to minimize weighted deviations with each constraint weighted 100? Minimize d1 ^+ + d1^- + d2^- + d3^+ Maximize 100d1+ + 1000,- + 100d2 + 100d3 Minimize d,*/100 + d, /100 + d2/100 + d3/100 None of the above A pair of shoes costs $60, and is on sale for 35% off. What is the sales price of the shoe A teacher put all her students' quiz scores up on the dot plot below. Mia is thinking of a 3 digit number. When she rounds the number to the nearest 10, it rounds to 750. If she adds 1 to the number, it rounds to 760. What number is Mia thinking of? The boy sat in the car so long it felt like he was no longer moving, but then he saw a tree that was beginning to get further and further away from his view. The tree is which of the following?Group of answer choicesgravityshows motionframe of referencefriction 3. An example of a shared power is to (3 points)O license professional workersO raise and support armed forcesO control foreign tradeO provide health care and welfare Plzz help now Because of the Sugar Act,The colonistsdid not have security regardingtheir goods. 8. There 2 types of government: limited and unlimited. True 0r False Select the decimal that is equivalent to (27)/(32). Choose 1 answer: (A) 0.76418 (B) 0.764bar (18) (C) 0.84375 (D) 0.84bar (375) (E) None of the above heat measures in what?A.) the energy transferred between particles B.) the speed and mass of particles C) the mass of particles consider a beam with the cross section shown, made of a material with an allowable stress of 119 mpa. Given circle H with chords