What happens and what is the source of the conflict between viola, the boy from her tribe, and the light skinned solider in the good braider novel?

Answer:

∠B = 60°

Step-by-step explanation:

They are supplementary angles, which means they add up to 180°.

∠B + ∠A = 180

? + 120 = 180

? = 180 - 120

? = 60°

Answer:

4x^2 -3 + 1/x

Where ;

p(x) =( 4x^2 -3) and k = 1

Step-by-step explanation:

Here, we want to divide the given polynomial

To get this, we can use the method of long division

P(x) will be the quotient of the division, while k will be the remainder of the division

We can see the long division used in as seen in the attachment

So, we have the result as;

4x^2 -3 + 1/x

Where ;

p(x) = 4x^2 -3 and k = 1

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

2955

Step-by-step explanation:

The ratio of yes votes to no votes is 3:2.

The total ratio is:

3 + 2 = 5

Let the total number of votes be x.

The number of yes votes was 1773. This means that:

3/5 * x = 1773

3x = 1773 * 5

x = (1773 * 5) / 3

x = 2955 votes.

There were 2955 votes in total.

Answer:

To solve for the problem above, let x be the regular price of the shoe.

1/2x is the one-half price of the shoe then we add 6 for the pair of socks,

1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Step-by-step explanation:

Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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Answer: 62

Step-by-step explanation:

top row has 12

the next row has 1 more =13

and it alternates

12+13+12+13+12=62

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

Answer:

answer is 152

Step-by-step explanation:

i mutiplied $16 and $8 and got 128 the subtracted 128 and 280 and final answer is 152

Answer: 20

Step-by-step explanation: Opposite sides of a parallelogram are congruent

Answer:

9 would be the place u put it on!!

Step-by-step explanation:

hope this hellps!!!

The height of the tree opposite to the river is (20√3)/3 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The width of the river here is adjacent and the height of the tree is opposite.

We know, tan = opposite/adjacent.

Therefore, tan30° = opposite/20.

1/√3 = opposite/20.

opposite = 20/√3.

opposite = (20√3)/3 feet.

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She needs to dock her yacht 5.13 miles from the settlement.

As per the details given in the above question is as follow,

Where r is the distance she rowed

w is the distance she walked

t is the total time taken to reach village

Consider the time,

\(t = \frac{r}{2} + \frac{w}{5}\)

Further,

\(r^2 = 2^2 + (6 - w)^2\\r = (4 + 36 - 12w + w^2)^{\frac{1}{2}}\\r = (w^2 - 12w + 40)^{\frac{1}{2}}\)

Thus substitute the value of r in above t equation we get,

\(t = (w^2 - 12w + 40)^(1/2)/2 + w/5t' \\= (\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) + \frac{1}{5} = 0\)

Shift \(\frac{1}{5}\) on right side of the equation,

\((\frac{1}{2})(\frac{1}{2})(w^2 - 12w + 40)^(-\frac{1}{2})(2w - 12) = -\frac{1}{5}\\(\frac{1}{2})(w - 6) = -\frac{1}{5}(w^2 - 12w + 40)^(\frac{1}{2})\\5(w - 6) = -2(w^2 - 12w + 40)^(\frac{1}{2})\\25(w^2 - 12w + 36) = 4(w^2 - 12w + 40)\\(25 - 4)w^2 + (-25\times 12 + 4 \times 12)w + 25 \times 36 - 4 \times 40 = 0\\21w^2 - 252w + 740 = 0\)

w = 6.87, 5.13 mi

discard 6.87 ( > 6)

\(r = (w^2 - 12w + 40)^(\frac{1}{2})\)

r = 2.18 mi

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We need to calculate the difference between the actual values and the predicted values based on the model.

The linear regression model predicts the price of dining furniture sets using the seating capacity and whether the table is extendable or not. The coefficients of the model are 20 and 50, and the intercept is 200.

To calculate the residuals, we need the actual values of the price of dining furniture sets for the two sets. Let's denote the actual values as Y1 and Y2 for the first and second sets, respectively.

The predicted values based on the linear regression model can be calculated using the equation: Y_predicted = intercept + coefficient1 * seating capacity + coefficient2 * extendable.

For the first set, the residual is given by: Residual1 = Y1 - (200 + 20 * seating capacity1 + 50 * extendable1).

Similarly, for the second set, the residual is: Residual2 = Y2 - (200 + 20 * seating capacity2 + 50 * extendable2).

By substituting the actual values and calculating the residuals using the model, we can determine the residuals for the two sets.

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Answer: 55% she chooses a white chocolate

Step-by-step explanation: Just do the total number of squares which is 18, and divide that into the number of squares of the chocolate your trying to find the % or probability of.

10/18=.55 or 55%

Answer:

1. 340

2. 358

3. 384

Step-by-step explanation:

for each question you need to sum the six faces .

for example, in question 1 you have

2 faces with a surface area of

s = b × h = 5 × 8 = 40

2 faces with a surface area of

s = b × h = 10 × 8 = 80

2 faces with a surface area of

s = b × h = 10 × 5 = 50

total surface:

(2×40)+(2×80)+(2×50)

The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

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The conditional probability values are 0.57 and 0.43

Missing information

              Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

Given a person who has eaten snack A before, the customer will want to eat snack A

Given a person who has not eaten snack A before, the customer will want to eat snack

How to determine the probabilities?

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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Answer:

\(106\)

I think the answer is 106°

The group that worked with men between the ages of 16 and 25, providing them with job training as well as with part-time work was the Civilian Conservation Corps (CCC).The Civilian Conservation Corps (CCC) was a New Deal program established by President Franklin D.

Roosevelt in 1933 in response to the Great Depression. It was a public work relief program that operated from 1933 to 1942 in the United States for unemployed and unmarried men between the ages of 16 and 25.The CCC provided jobs for millions of unemployed young men, particularly in rural areas. It was designed to conserve natural resources in rural areas through conservation and development activities, including soil conservation, forestry, and state and national parks development. In addition, it provided valuable training and education opportunities for young men who had little or no education.

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The original price of the shoes was $26.

A coupon is a voucher or a code that can be used to get a discount or a special offer when making a purchase.

Let the original price of the shoes be x.

According to the problem, Martin gets a discount of $3 on the original price, so he pays (x - 3) dollars.

Then, the store takes 20% off the reduced price, which means Martin pays 80% of (x - 3) dollars.

We can write this information as an equation:

0.8(x - 3) = 18.4

Simplifying:

0.8x - 2.4 = 18.4

0.8x = 20.8

x = 26

Therefore, the original price of the shoes was $26.

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The magnitude of the force needed to supply 100 newton-meters of torque to the bolt is 250 newtons.  

Given,

Length of the wrench, l = 0.4 m

Direction of force, `F` = (0, 2, -3) Nm

Torque, `t` = 100 N-m

By definition,

Torque = Force × lever arm

Force = Torque / lever arm

Torque = Force × length of the wrench

Perpendicular distance between the line of action of the force and the axis of rotation is equal to the length of the wrench.

So, the distance between the line of action of the force and the origin of the coordinate system is `l = 0.4 m`.

The direction of the force is `F = (0, 2, -3) Nm` and it is perpendicular to the length of the wrench.

Thus, the lever arm is equal to the length of the wrench and it is pointing in the direction of the positive y-axis. Therefore, the direction of force is the direction of the lever arm.

Magnitude of the force, `F` is given by:

F = t / l

Magnitude of the force, `F` is

F = 100 N-m / 0.4 m

F = 250 N

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Answer:The answer is 10.8167. The picture explains the answer

Step-by-step explanation:

Answer:

y=3/4x+2

Step-by-step explanation:

the slope is 3/4 because that is how you get from one point to another, the 2 is the y-intercept

If the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60, therefore, the answer is (c) 0.60.

Based on your question,  the coefficient of determination (R²) for a simple linear regression, given the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60.

To calculate R², follow these steps:

1. Calculate the total sum of squares (SST): SST = SSE + SSM
2. Divide SSM by SST: R² = SSM / SST

Now, let's apply the values from your question:
To calculate, we use the formula:
= SSM / SSM + SSE)

Plugging in the given values, we get:
= 60 / (60 + 40) = 0.6
SST = SSE + SSM = 40 + 60 = 100
R² = SSM / SST = 60 / 100 = 0.60

So, the coefficient of determination (R²) is 0.60, which corresponds to option (c).

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Answer:

135

Step-by-step explanation:

a = 45    {Vertically opposite angles}

b =  a      {p //q , Corresponding angles are equal}

b = 45

x+y + b = 180   {Angle sum property of triangle}

x + y + 45 = 180

        x + y = 180 - 45

x + y  = 135

The sample space of outcomes of the given experiment is {r3, r5, s3, s5, t3, t5}

One spinner has three same-sized sectors labeled = r, s and t

A second spinner has two same-sized sectors labeled = 3 and 5

Given that the each spinner is spun once

The sample space is defined as the set of all possible outcomes of the random experiments. Usually the sample space of the random experiment is represented by the letter S.

Here,

The sample spaces are

= {r3, r5, s3, s5, t3, t5}

The total number of outcomes = 6

Therefore, the sample space is {r3, r5, s3, s5, t3, t5}

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