B is the midpoint of segment AC AB=2x and BC=x+17 in order to find x what equation would you use

139.49

Step-by-step explanation:

using trig ratios.

tan=o/a

tan74°=n/40

40tan74°=n

use calculator to solve

=139.49

hope this helped :)

We will solve it using trigonometry formulas:

\(\boxed{ \begin{minipage}{5 cm} {Formulae:} \\ \\ $\bigstar\:\:\sin\theta\:=\:\frac{Opposite}{Hypotenuse} \\ \\ \bigstar\:\:\cos\theta\:=\:\frac{Adjacent}{Hypotenuse} \\ \\ \bigstar\:\:\tan\theta\:=\:\frac{Opposite}{Adjacent}$ \end{minipage} }\)

\(\rule{190pt}{2pt}\)

\(\bold{\ttt{Given,}}\\\)

\(\sf{Adjacent=40}\\ \sf{Opposite=n}\\ \sf{\theta=74\°\)

\(\bold{\ttt{Solution,}}\\\)

\({\tan\theta\:=\:\frac{Opposite}{Adjacent}}}\)

\({\sf{\tan74\:=\:\frac{n}{40}\)

\({\sf{\tan74\:x\:40\:=\:n\)

\({\sf{139.49\:=\:n\)

\({\sf{n\:\approx139.5\)

\(\boxed{\sf{n\:=\:139.5}}\)

Answer:

Solution

here,

X=?

now,

X+90+42=180 (Sum of angles of Triangle)

or, X=180-132

or, X=48

Hence the value of X is 48 degrees

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

\( = lbh\)

\( = 85 \times 65 \times 30\)

\( = 165750 {cm}^{3} \)

Capacity of the tank

\( = 165750ml\)

\( = 165.75l\)

Answer:

2 3/5

Step-by-step explanation:

Simply change the 1st fraction into improper form:

17/5 - 4/5

Then subtract

13/5

Then write into mixed fraction

2 3/5

Answer:

13/5 or 2 3/5

Step-by-step explanation:

Answer:

100.00 Lol :) hope this helps ⊕∵™

Step-by-step explanation:

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Answer:

7/2 or 3.5

Step-by-step explanation:

2X + 5 = 12

2X = 12 - 5 = 7

2X/2 = 7/2

X = 7/2

Answer:

For three points to be collinear, the vectors connecting the first point to the second point and the first point to the third point must be parallel. That is, the cross product of these two vectors must be equal to the zero vector.

The vector connecting the first point (1, 2, 3) to the second point (4, 7, 1) is:

v = <4-1, 7-2, 1-3> = <3, 5, -2>

The vector connecting the first point (1, 2, 3) to the third point (x, y, 2) is:

w = <x-1, y-2, 2-3> = <x-1, y-2, -1>

To check if these two vectors are parallel, we can take their cross product and see if it is equal to the zero vector:

v x w = <(5)(-1) - (-2)(y-2), (-2)(x-1) - (3)(-1), (3)(y-2) - (5)(x-1)>

     = <-5y+12, -2x+5, 3y-5x-6>

For this cross product to be equal to the zero vector, each of its components must be equal to zero. This gives us the system of equations:

-5y + 12 = 0

-2x + 5 = 0

3y - 5x - 6 = 0

Solving this system, we get:

y = 12/5

x = 5/2

Therefore, the values of x and y that make the three points collinear are x = 5/2 and y = 12/5.

Answer:

(\(\frac{2}{3} , \frac{1}{5}\))

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

10.2

Step-by-step explanation:

the celcues of the metal at 22. 5c it rose to 38.7q

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

Answer:

26x+25

Step-by-step explanation:

not sure if this an answer choice but here

Let's simplify step-by-step.

19x+18+7+4x+3x

Combine Like Terms:

=19x+18+7+4x+3x

=(19x+4x+3x)+(18+7)

=26x+25

Answer:

=26x+25

Logistic Regression is preferred over Linear Regression for classification problems for several reasons.

Firstly, the predicted values in Logistic Regression are much more interpretable as they lie in the range of 0 to 1, which represents the probability of a certain outcome occurring. In contrast, Linear Regression predicts continuous values which are difficult to interpret as probabilities.
Secondly, the sigmoid curve used in Logistic Regression fits the data better than a straight line used in Linear Regression. This is because the sigmoid curve captures the non-linear relationships between the input variables and the output variable, which is often the case in classification problems.
Lastly, Logistic Regression uses maximum likelihood estimation to estimate parameters, whereas Linear Regression minimizes the mean squared error. Maximum likelihood estimation is a more appropriate method for estimating parameters in classification problems as it takes into account the binary nature of the output variable. Linear Regression, on the other hand, does not consider this binary nature and may not produce accurate results in classification problems.

In summary, Logistic Regression is preferred over Linear Regression for classification problems because of its interpretable predicted values, better fit to non-linear relationships, and appropriate method of estimating parameters using maximum likelihood estimation.

We prefer Logistic Regression over Linear Regression for classification problems for the following reasons:

1) Predicted values in Logistic Regression are more interpretable as they lie in the range of 0 to 1, representing probabilities of class membership, while Linear Regression predicts continuous values which may not directly indicate class membership.

2) The sigmoid curve in Logistic Regression fits the data better for classification problems, as it represents a natural threshold between classes, while a straight line from Linear Regression may not provide clear separation between classes.

3) Logistic Regression uses maximum likelihood estimation to estimate parameters, which makes it more suitable for classification problems as it finds the best fit for the probability of class membership. Linear Regression minimizes the mean squared error, which focuses on minimizing the distance between predicted and actual values, but does not directly optimize for class membership probabilities.

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Answer:

\(-11v+-3z\)

Step-by-step explanation:

\(-8v-8z+5z-3v\)

\(-8v+-8z+5z+-3v\)

\(-8v+-3v+-8z+5z\)

\(=-11v+-3z\)

Answer:

Step-by-step explanation:

Combine the like terms

-8v - 8z + 5z - 3v = -8v - 3v - 8z + 5z

                           = - 11v - 3z

Answer:

b) 5π/4

c) 7π/4

e) 13π/4

Step-by-step explanation:

sin θ = -½√2

There's really no algebra to be done here.  There are two ways you can solve.  One, you can use a calculator.  Two, you can memorize your unit circle.

Either way, it helps to draw the unit circle.  sin θ is the y coordinate, so you're looking for points on the circle where y = -½√2.  This happens at two places: θ = 5π/4 and 7π/4.

Next, we need to check the options that are greater than 2π.

9π/4 is the same as π/4.

13π/4 is the same as 5π/4.

So the three correct answers are 5π/4, 7π/4, and 13π/4.

Answer:

B

C

D

Step-by-step explanation:

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

E

Step-by-step explanation:

The first quadrant is the top-right one

If a point is in the first quadrant, the x- and y-values of the point are both positive

Let's go through the one by one.

A) Translating the quadrilateral right 4 units will make the new S to be \((-3+4, -7)=(1, -7)\), which is not in the first quadrant.

B) Reflection the quadrilateral across \(x=4\) will not change the y-value of any points. So, the new S will stay below the x-axis, and thus will never be in the first quadrant, because it will always have a negative y-value.

C) This one is tricky. We can prove(the proof is just taking cases of which quadrant) that if a point is in the second or fourth quadrant, it's reflection across the line \(y=-x\) will always be in the same quadrant it started in(i.e. reflect a point in the second quadrant, you get a point in the second quadrant). We know that P is in the second quadrant, so the new P will also be in the second quadrant. Therefore, the new quadrilateral will not be entirely in the first quadrant.

D) We intuitively(and can prove) that because R is right underneath Q, the new R will be directly to the left of Q, with the same distance as Q to original R. So, the new R will be \((-10, 12)\) using above method. This point is not in the first quadrant.

E) We know intuitively(and can prove) that a reflection across the line \(x=3\) will make the entire quadrilateral in the first and fourth quadrant. However, When we translate up, the new S, the lowest point on the quadrilateral, will be above the x-axis, making all the points in the first quadrant! Therefore, E works.

F) When we reflect across the x-axis, any points in the second quadrant go to the third quadrant. So, the new P will be in the third quadrant. However, when we translate up 13 units, the new P will go to the second quadrant. It will never cross the y-axis, and will always have a negative x-coordinate. Therefore, P will not be in the first quadrant.

Summing up the cases that work, we get that \(\boxed{E}\) is the only answer.

The transformations of quadrilateral PQRS which would result in the image of the quadrilateral being located only in the first quadrant of the coordinate plane is:

This refers to the axis of a two dimensional Cartesian system which is one side out of four quarters of a circle or given shape.

From the given image, we can see that the first quadrant is at the top.

With this, we can see that the transformation which would make the quadrilateral PQRS to be in the first quadrant is a reflection across x=3, then a translation up 8 units.

This is because when we translate up, then we can see that the x-y values of the point are positive and which would make the translation up 8 points.

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Answer:

X>_1 and x<_7

Step-by-step explanation:

The patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

To determine how many tablets the patient needs to take daily, we need to divide the total amount of the drug prescribed by the dose of each tablet.

Since the patient is prescribed 3 grams of the drug daily, we first need to convert this to milligrams (mg), as the tablets are available in milligram form.

1 gram = 1000 milligrams, so 3 grams = 3,000 milligrams

The pharmacist has 750 mg tablets available, so we can calculate the number of tablets the patient needs to take daily by dividing the prescribed dose by the dose of each tablet:

Number of tablets = Prescribed dose ÷ Dose per tablet

Number of tablets = 3,000 mg ÷ 750 mg

Number of tablets = 4

Therefore, the patient needs to take 4 tablets daily to receive the prescribed dose of 3 grams of the drug.

Therefore, the patient will take 4 tablets daily.

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The convolution formula PX+Y(n) = px(k)py(n – k) holds for independent, integer-valued random variables X and Y.

To prove the convolution formula, we start with the definition of the probability of the sum of two random variables:
PX+Y(n) = P{X+Y = n}

Next, we use the law of total probability to break this down into conditional probabilities:

PX+Y(n) = Σk P{X+Y=n | X=k}P{X=k}

Here, the sum is taken over all possible values of k.

Now, we use the fact that X and Y are independent random variables, which means that the joint probability of X and Y is the product of their marginal probabilities:

P{X=x,Y=y} = P{X=x}P{Y=y}

Using this, we can simplify the conditional probability in the above equation:

P{X+Y=n | X=k} = P{Y=n-k | X=k} = P{Y=n-k}

This is because the value of X does not affect the probability distribution of Y.

Substituting this into the previous equation, we get:

PX+Y(n) = Σk P{X=k}P{Y=n-k}

This is the desired convolution formula. We can recognize this as the convolution of the probability mass functions of X and Y.

Therefore, we can write:
PX+Y(n) = (px ∗ py)(n)
Where (∗) denotes convolution.

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a) The probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.

b) The probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.

The probability of drawing a specific card from a deck of 52 cards is 1/52.

a) To find the probability of having exactly 3 aces in a 7-card hand, we can use the binomial distribution:

P(exactly 3 aces) = (number of ways to choose 3 aces from 4 aces) * (number of ways to choose 4 non-aces from 48 non-aces) / (number of ways to choose 7 cards from 52 cards)

= (4C3 * 48C4) / 52C7

= (4 * 194580) / 133784560

= 0.005755

Therefore, the probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.

b) To find the probability of having exactly 3 of a kind in a 7-card hand, we can use the following steps:

The total number of 7-card hands is 52C7 = 133,784,560.

Therefore, the probability of having exactly 3 of a kind in a 7-card hand is:

P(exactly 3 of a kind) = (13 * 4C3 * 12C4 * 4^4) / 133784560

= (13 * 4 * 495 * 256) / 133784560

= 0.02113

Therefore, the probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.

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The extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

Let G be a group and m∈G an order element, where m and G are relatively prime positive integers. To prove that there exists x,y∈G such that |x|=m and |y|=G and G=xy, we can use the fact that since G and m are relatively prime, there exist integers a and b such that am + bG = 1 (by the extended Euclidean algorithm). This implies that m = (1-bG)/a and G = (1-am)/b.

Let x = (1-bG)/a and y = (1-am)/b, then since |x| = |(1-bG)/a| = m and |y| = |(1-am)/b| = G, we have that |x| = m and |y| = G.

Additionally, since xy = (1-bG)/a * (1-am)/b = 1-bG -am + (abGm)/ab = 1, we have G=xy, proving our statement.

Therefore, by using the extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

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Answer:

the amount Kaylee pays is $13.29

The quadratic function that models the data is: f(x) = -1/2\(x^{2}\) + 2.5x + 2.

What is Exponential function ?

The exponential function is widely used in many areas of science, including physics, chemistry, biology, and economics. It is a fundamental concept in calculus and is essential for understanding exponential growth and decay.

To determine whether the function is linear, quadratic, or exponential, we can look at the differences between consecutive terms of the sequence.

The first differences are:

2-1 = 1

4-2 = 2

8-4 = 4

16-8 = 8

The second differences are:

2-1 = 1

4-2 = 2

8-4 = 4

Since the second differences are constant, the function is quadratic.

To find the quadratic function that models the data, we can use the general form of a quadratic function:

f(x) = a\(x^{2}\) + bx + c

where a, b, and c are constants.

Using the given points, we can create a system of three equations:

a(-1) + b(-1) + c = -1

a(0) + b(0) + c = 2

a(1) + b(1) + c = 4

Simplifying each equation gives:

a - b + c = -1

c = 2

a + b + c = 4

Substituting c=2 into the first and third equations gives:

a - b = -3

a + b = 2

Adding the two equations gives:

2a = -1

So, a = -1/2.

Substituting a=-1/2 into the second equation gives:

b = 5/2.

Therefore, the quadratic function that models the data is: f(x) = -1/2\(x^{2}\) + 2.5x + 2.

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Answer:Blue whale

Step-by-step explanation:

The blue whale goes  an extra kilometer faster

The Mako shark faster at top cruising speed and by 20km/h.

Given that,

Based on the above information, the calculation is as follows:

We know that

\(Speed = \frac{Distance}{Time}\)

For Mako shark,

\(= \frac{4}{\frac{1}{10} }\)

= 40 km/h

For Blue whales

\(= \frac{5}{\frac{1}{4} }\)

= 20 km/h

Based on the above calculations we can say that the Mako shark should be faster and by 20 km/h.

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Answer:

a

Step-by-step explanation:

that is the answer

One way Raul could have increased the total amount of money he made over the 40 years is by investing a portion of his income in a diversified investment portfolio. By doing so, he could have earned additional income through investment returns and potentially grown his wealth over time.

Investing a portion of his income in a diversified investment portfolio could have allowed Raul to earn additional income through dividends, interest, and capital gains. Over the long-term, the power of compounding could have increased the value of his investments and potentially grown his wealth.

Therefore, while investing involves risk and there is no guarantee of investment returns, investing in a diversified portfolio could have allowed Raul to potentially earn more money over the long-term compared to keeping his money in a savings account or spending it. It is important to note that investing involves risk and individuals should carefully consider their investment goals and risk tolerance before making investment decisions.

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The output obtained after executing the java code snippet,

double bottles;

double bottleVolume = bottles * 2;

System.out.printIn(bottleVolume);

will throw an error that bottle variable might not have been initialized.

As per the question statement, we are provided with a java code snippet, which goes as:

double bottles;

double bottleVolume = bottles * 2;

System.out.printIn(bottleVolume);

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

double bottles;

double bottleVolume = bottles * 2;

System.out.printIn(bottleVolume);

We will obtain an error that bottle variable might not have been initialized because we are using the variable bottle without initializing.

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3.49 = 3.00

1.14 = 1 x 3 = 3

3.46 = 3.00

3 + 3 + 3 = 9

answer: 9

i think c: