Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:

3/4 books per month

Step-by-step explanation:

12/16=3/4

So she reads 3/4 of a book each month

Thus, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

To find the number of ways a student can choose from the given library, we need to use the formula for combinations.

The formula for combinations is:
nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.

Let's consider the different ways a student can choose:

1. Choosing one book from any category:
Total number of books = 5+3+6+4 = 18
n = 18, r = 1
Number of ways = 18C1 = 18! / 1!(18-1)! = 18

2. Choosing two books from any category:
n = 18, r = 2
Number of ways = 18C2 = 18! / 2!(18-2)! = 153

3. Choosing three books, one from each category:
For this, we need to choose one book from each category, and the order of selection does not matter.
n1 = 5, r1 = 1 (for history)
n2 = 3, r2 = 1 (for sociology)
n3 = 6, r3 = 1 (for anthropology)
n4 = 4, r4 = 1 (for psychology)
Number of ways = (5C1 x 3C1 x 6C1 x 4C1) = (5 x 3 x 6 x 4) = 360

Therefore, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.

In summary, a student can choose:
- 18 ways to choose one book
- 153 ways to choose two books
- 360 ways to choose three books, one from each category

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Answer:

The two lines are parallel!

Step-by-step explanation:

:)

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

9.) one to one correspondence

10.)one to many correspondence

Step-by-step explanation:

in 9 it shows that 1-4 are connected to different number

in 10 it shows that a is connected to 2 different numbers

Answer:

0

Step-by-step explanation:

x + y = 3

y = 3

=> x + 3 = 3

=> x = 3 - 3

=> x = 0

The conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Supplementary angles are those angles that sum up to 180 degrees

so angle 1 and 4 are supplementary angles.

Congruent angles are two or more angles that are identical to each other

so angles 10 and 1 are congruent.

angles 5 and 7 are congruent.

The three interior angles of a triangle will always have a sum of 180°.

The sum of the measures of the angles 4, 5 and 10 is equal to 180 degrees.

The sum of the measures of the angles 4, 5 and 11 is not equal to 180 degrees.

Hence, the conclusion sum of the measures of the angles 4, 5 and 11 is equal to 180 degrees not be accurate to the drawing.

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16=4

49=7

289=17

Step-by-step explanation:

If cosθ=-3/4 and tanθ is negative, then sinθ= √(7)/4.

Since cosθ = -3/4 and θ is an angle in the second quadrant where cosθ is negative, we know that sinθ must be positive.

The Pythagorean identity is a trigonometric identity that relates the three basic trigonometric functions: sine, cosine, and tangent

To find sinθ, we can use the Pythagorean identity

sin^2θ + cos^2θ = 1

Substituting the value of cosθ we get

sin^2θ + (-3/4)^2 = 1

Simplifying

sin^2θ + 9/16 = 1

sin^2θ = 7/16

Taking the square root of both sides, we get

sinθ = ±√(7)/4

Since we know that sinθ is positive in the second quadrant, we take the positive value

sinθ = √(7)/4

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Answer:

20 miles

Step-by-step explanation:

hope this helps

Answer:

20

Step-by-step explanation:

60-40=20

Total integers between 30 and 50, inclusive, and 21 - 5 = 16 integers that are not possible total scores.

For a score of 30, the number of correct answers would be 6 (30 / 5), and for a score of 50, the number of correct answers would be 10.

Thus, the possible number of correct answers is between 6 and 10, inclusive. So, the possible total scores are [30, 35, 40, 45, 50].

Therefore, there are 50 - 30 + 1 = 21 total integers between 30 and 50, inclusive, and 21 - 5 = 16 integers that are not possible total scores.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

First graph unit rate =   15 miles / 1 hr = 15 m/hr    ( 15 mph)

Second graph   46 miles / 2 hrs = 23 miles/hr   (23 mph)  

The horizontal distance between (16, -24) and (-3, -24) is 19 units.

Explanation:

We can calculate the horizontal distance by finding the difference between the x-coordinates of the two points.

Horizontal distance = difference in x-coordinates = (-3) - 16 = -19

However, the distance is negative, which doesn't make sense as distance is always positive. So we take the absolute value of the difference to get the actual distance.

|Horizontal distance| = |-19| = 19

Therefore, the horizontal distance between the two points is 19 units.

It provides a range of values within which the true percentage is likely to fall with a 90% level of confidence based on the Sample data.

Based on the confidence interval of (0.42, 0.48), the claim that is not supported is that less than 42% of all women do not find time to focus on their own health. This is because the lower bound of the interval is 0.42, indicating that at worst, 42% of all women do not find time to focus on their own health. Therefore, any claim that suggests a lower percentage is not supported by the confidence interval.

On the other hand, the confidence interval does support claims that suggest the percentage of women who do not find time to focus on their own health is at least 42% and no more than 48%. For example, a claim that states "between 42% and 48% of all women do not find time to focus on their own health" is supported by the confidence interval.

It is important to note that the confidence interval does not tell us anything about the actual percentage of women who do not find time to focus on their own health. Rather, it provides a range of values within which the true percentage is likely to fall with a 90% level of confidence based on the sample data.

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Answer:

5

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

y - 3 = 2(x + 1)

If you simplify the right side of the equal sign, you'll get...

y - 3 = 2x + 2

then you would add 3 to both sides...

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

which will make...

y = 2x + 5

and since x = -1, you plug it in..

y = 2(-1) + 5

which will give you..

y = -2 + 5

which will make it..

y = 3

Answer:

Sale price = x - 0.45x

Step-by-step explanation:

Given:

Original price = x

Discount = 45%

Find:

Sale price

Computation:

Sale price = Original price - Discount

Sale price = x - [(x)(45%)]

Sale price = x - 0.45x

Sale price = 0.55x

Answer:

9) 392,400

10) 92,000,000,000,000,000

11) 0.004391

12) 0.0006825

Step-by-step explanation:

9)  3.92400 move the decimal point 5 times to the right

10) 9.2 add 15 zeros on the right

11) 4.391 add 3 zeros on the left side

12) 6.825 add 4 zeros to the left side

Answer:

I hope this helps..

x y

0 6

1 12

2 12

3 12

4 18

The translation of points (3,-2) → (1,0) is 2 units up and 2 units left.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the coordinate (3,-2) transformed in coordinate (1,0)

Now,

3 + x = 1

x = -2

It means graph shift 2 units left.

Now,

-2 + y = 0

y = 2

It means the graph shifts 2 units up.

Hence "The translation of points (3,-2) → (1,0) is 2 units up and 2 units left".

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The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be \((\frac{\sqrt{3}}{2},\frac{1}{2})\).

For the angle measure 60, the point will be \((\frac{1}{2},\frac{\sqrt{3}}{2})\).

The tangent value of a point will be its \(y\) value over its \(x\) value.

\(\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

\(\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}\)

The sine value of a point will be the \(y\) value of the point.

\(\frac{\sqrt{3}}{2}\)

So the values we have so far are \(\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}\)

Now we have to find the LCD to add these together, which in this case would be 6.

\(\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}\)

Which adds up to \(\frac{11\sqrt{3}}{6}\), which is in simplest radical form.

Hope this helps!

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The estimated slope of the regression line is approximately 0.213.

To find the estimated slope of the regression line for predicting the number of bids based on the list price, we can use the formula:

\(b1 = \sum((xi - x\bar{x})(yi - \bar{y})) /\sum((xi - \bar{x})^{2} )\)

where Σ represents the sum, xi is the list price, \(\bar{x}\) is the mean of the list prices, yi is the number of bids, and \(\bar{y}\) is the mean of the number of bids.

First, let's calculate the means:

\(\bar{x}\) = (28 + 29 + 35 + 36 + 50) / 5 = 35.6

ȳ = (2 + 3 + 4 + 6 + 7) / 5 = 4.4

Next, we calculate the numerator of the slope equation:

Σ((xi -  \(\bar{x}\))(yi -  \(\bar{x}\))) = (28 - 35.6)(2 - 4.4) + (29 - 35.6)(3 - 4.4) + (35 - 35.6)(4 - 4.4) + (36 - 35.6)(6 - 4.4) + (50 - 35.6)(7 - 4.4)

= (-7.6)(-2.4) + (-6.6)(-1.4) + (-0.6)(-0.4) + (0.4)(1.6) + (14.4)(2.6)

= 18.24 + 9.24 + 0.24 + 0.64 + 37.44

= 65.8

Now, we calculate the denominator of the slope equation:

Σ((xi -  \(\bar{x}\))²) = (28 - 35.6)² + (29 - 35.6)² + (35 - 35.6)² + (36 - 35.6)² + (50 - 35.6)²

= (-7.6)² + (-6.6)² + (-0.6)² + (0.4)² + (14.4)²

= 57.76 + 43.56 + 0.36 + 0.16 + 207.36

= 309.2

Finally, we can calculate the estimated slope:

b1 = Σ((xi -  \(\bar{x}\))(yi -  \(\bar{x}\))) / Σ((xi -  \(\bar{x}\))²) = 65.8 / 309.2 ≈ 0.213

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The value of solution of the ratio is,

⇒ 1 : 25

We have to given that;

Expression of ratio is,

40 gm : 1 kg

Now, We can simplify as;

1 kilograms = 1000 grams

Hence, We get;

40 gm : 1 kg

40 gm : 1000 gm

40 / 1000

4/100

1 / 25

1 : 25

Thus, The value of solution of the ratio is,

⇒ 1 : 25

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Answer: $833330 per year

Step-by-step explanation:

Answer:

Width: 2x+1

Step-by-step explanation: