Find the slope of the line that passes through the points (-1, -2) and (-9, -2)

Answer:

Step-by-step explanation:

If the coins are identical and not numbered, we need to find the number of patterns.

There are 4 rows and 4 columns. One cell remains empty in each row.

There are 4 options for the first row, 3 options for the second row, 2 options for the third row and 1 option for the fourth row.

The number of options reduces to avoid more than 1 empty cell in each row or column.

Number of options is:

_________

\( \: \)

4rows, and 4columns.

Soo :

= 4!

= 4 × (4 - 1) × (4 - 2) × (4 - 3)

= 4 × 3 × 2 × 1

= 24

The 4 is the number the student thought about.

To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:

4x + 30 = 70 - x

To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.

4x + x = 70 - 30x + 4x + x = 40

Simplifying, we get:

10x = 40

Dividing both sides by 10:

x = 4

Therefore, the number that the student thought of is 4.

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Answer:

x=28

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

Therefore,

x+95+57=180

Add 95 and 57

x+152=180

We are trying to find x. In order to do this, we must get x by itself. 152 is being added to x. The opposite of addition is subtraction. So subtract 152 from both sides.

x+152-152=180-152

x=180-152

x=28

Let’s check our answer. Add all the angles together, to be sure they add to 180 degrees.

x+95+57=180

Substitute 28 for x

28+95+57=180

180=180

The equation above is true, so we know that x is equal to 28.

____________________________________

Hey!!

Solution:

X+95+57=180 (sum of angle in triangle)

or,X+152=180

or,X=180-152

X=28 degree.

The value of X is 28 degree.

Hope it helps..

Good luck on your assignment..

Stay Safe...

_____________________________________

Answer:

a=8,-8

Step-by-step explanation:

Answer:in all the answer would be $82

Step-by-step explanation:9 + 20 + 8 + 45 = 82

The solution to the equation x² + 3x - 5 = 0 are ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.

The quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question;

x² + 3x - 5 = 0

Hence;

a = 1

b = 3

c = -5

We substitute this values into the quadratic formula above.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -3 ± √( 3² - ( 4 × 1 × -5) )) / ( 2 × 1)

x = ( -3 ± √( 9 - ( -20 ) )) / ( 2 )

x = ( -3 ± √( 9 + 20 )) / 2

x = ( -3 ± √( 29 )) / 2

x = ( -3 - √( 29 ))/2, x = ( -3 +√( 29 ))/2

Therefore, the two values of x are  ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.

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Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

A method of dividing something into equal parts is called division.

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

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The value of one share today is $18.39.

Annual growth rate for two years is 20% i.e. g = 20% Dividend growth decreases to 8% for the next two years i.e. g1 = 8% and it is 4% thereafter i.e. g2 = 4%Current dividend = $2.

Required rate of return = 15%To calculate the value of one share, we need to use the Gordon Growth Model.D1 = D0 (1+g) Where,D0 = Current dividendg = Annual growth rateD1 = Dividend after one yearD1 = 2(1+20%) = $2.4 (Dividend growth rate of 20%).

For the next year, i.e., year 2, the dividend growth rate will be 20%.D2 = D1 (1+g)D2 = 2.4(1+20%) = $2.88Using the Gordon Growth Model,V0 = (D1) / (k-g)Where,k = Required rate of returng = Growth rateV0 = (2.88) / (15%-20%) = -$57.60

This value is not acceptable, since it is negative. This happened because the growth rate is greater than the required rate of return.

This means the growth rate is unsustainable.In order to solve this issue, we need to use the dividend growth model, where different growth rates can be used for different time periods.

Gordon Growth Model is used to calculate the intrinsic value of a stock based on a future series of dividends that grow at a constant rate.

The value of a share today is calculated based on the future dividends, so it is important to project the future dividends and discount them back to the present value.

So, we will use the dividend growth model for three years and then apply Gordon Growth Model.Value of Dividend at the end of Year 3,D3 = D2 (1+g2)D3 = 2.88 (1+4%) = $2.9984 (8% for two years and 4% for 3rd year).

Value of Dividend at the end of Year 2,D2 = D1 (1+g1)D2 = 2.4 (1+8%) = $2.592 (20% for two years)Value of Dividend at the end of Year 1,D1 = D0 (1+g)D1 = 2 (1+20%) = $2.4 (20% for first year).

Now we can apply the Gordon Growth Model,V3 = D4 / (k-g2)V3 = 2.9984 / (15%-4%) = $26.88Now we need to discount it to the present value,V0 = V3 / (1+k)^nWhere,n = number of yearsV0 = 26.88 / (1+15%)^3V0 = $18.39Hence, the value of one share today is $18.39.

Therefore, the correct option is b) $18.39.

In this question, we are required to calculate the value of one share today with given data.

To calculate the value of one share, we need to use the Gordon Growth Model, which is used to calculate the intrinsic value of a stock based on a future series of dividends that grow at a constant rate.

The annual growth rate for two years is 20% i.e. g = 20%. Dividend growth decreases to 8% for the next two years i.e. g1 = 8% and it is 4% thereafter i.e. g2 = 4%. The current dividend is $2 and the required rate of return is 15%.We first calculated the dividend for year 1, which is $2.4. Using this, we calculated the dividend for year 2, which is $2.88. But, the value of share calculated using the Gordon Growth Model was negative.

This happened because the growth rate was greater than the required rate of return. This means the growth rate was unsustainable.
To solve this, we used the dividend growth model, where different growth rates can be used for different time periods. Using this model, we calculated the value of dividend at the end of year 3, year 2, and year 1.

The value of dividend at the end of year 3 was $2.9984.Using this value, we applied the Gordon Growth Model to calculate the intrinsic value of a share, which is $26.88.

To calculate the present value of this share, we discounted it to the present value using the formula V0 = V3 / (1+k)^n, where n is the number of years.

On substituting the values, we got the value of one share today, which is $18.39. Hence, the correct option is b) $18.39.

Hence, the value of one share today is $18.39.

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Given the expression :

The expression will be equal:

so, the answer is option 4)

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

39.66% of students like ice cream best.

Step-by-step explanation:

To fine the percentage of students that like ice cream best, find the total amount of students. 58. Then, divide 100 by 58 and then multiply that number by 23.

Answer:

y=22-1

Step-by-step explanation:

ewaan di ako sure

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=3.6\\ h=4.2 \end{cases}\implies 3.6=\cfrac{\pi r^2(4.2)}{3}\implies 10.8=4.2\pi r^2 \\\\\\ \cfrac{10.8}{4.2\pi }=r^2\implies \sqrt{\cfrac{10.8}{4.2\pi }}=r\hspace{5em}\stackrel{\textit{diameter = 2r}}{2\sqrt{\cfrac{10.8}{4.2\pi }}} ~~ \approx ~~ \text{\LARGE 1.8}\)

The chief advantage of using a confidence interval to test the hypothesis about the proportion of households with high-speed internet service is that it provides a set of plausible values for the proportion, allowing for a more informative interpretation of the data.

The chief advantage of using a confidence interval to test this hypothesis is that it provides a range of plausible values for the proportion of households with high-speed internet service. Instead of simply determining whether the proportion is equal to 0.7 or not (as done in a significance test), a confidence interval gives a range of values within which the true proportion is likely to fall. This allows for a more nuanced interpretation of the data, taking into account the uncertainty inherent in statistical estimates.

In contrast, a significance test typically provides a binary result, indicating whether the data provide enough evidence to reject the null hypothesis (in this case, the proportion being equal to 0.7) or not. While significance tests can be useful in determining statistical significance, they do not provide an estimate of the magnitude or range of possible values for the parameter being tested.

Furthermore, the conditions for using a confidence interval are generally less restrictive than those for a significance test. Confidence intervals rely on assumptions about the sampling distribution of the data, but they are more flexible in terms of sample size and distributional assumptions compared to significance tests.

Finally, it's worth noting that both confidence intervals and significance tests can be one- or two-sided, depending on the specific research question and hypothesis being tested. The choice between the two depends on the nature of the hypothesis and the desired interpretation of the results.

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The simplified form of equation is \(\sqrt{56x^{5} y^{5} } / \sqrt{7xy}\) is \(2x^{2} y^{2}\). The expression inside the denominator's square root.
\(\sqrt{7xy}\) remains the same.

To divide and simplify \(\sqrt{56x^{5} y^{5} } / \sqrt{7xy}\), we can simplify the expressions inside the square roots first.

Step 1: Simplify the expression inside the numerator's square root.
√56x⁵y⁵ can be simplified as follows:
\(√(8 * 7 * x² * x² * x * y² * y²)\\√(2² * 2 * 7 * x² * x² * x * y² * y²)\\√(2² * 2 * 7 * (x²)² * x * (y²)²)\\2x²y² * √(2 * 7xy)\\\)

Step 2: Divide the simplified expressions.
\((2x²y² * √(2 * 7xy)) / √7xy\)

Step 3: Simplify further by canceling out the square root of 7xy.
The square root of 7xy in the numerator and denominator cancels out, leaving us with:
\(2x^{2} y^{2}\).

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Answer:

Acute

Step-by-step explanation:

Angel SUT is an acute Angle because it measures less than 90°

Answer:

We know P(x<$180,000)=.25 and P(x>$320,000)=.25

Using the formula for normal distributions, we can find the mean and standard deviation (z = (x-mean)/SD) using the given info. Then you'll have two equations with two unknowns.

Finally when finding part a, make sure to do a continuity correction [P(x<$200,000) = P(x≤$200,000.5) = ?]

Step-by-step explanation:

Answer: p = 70,000 kg m/s

Step-by-step explanation:

Answer:

2 books an hour

Step-by-step explanation:

Answer:

she can read 2 books in an hour.hope help

Step-by-step explanation:

Answer:

ee

Step-by-step explanation:

e

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

bottom was cut off a bit its 4=b

Answer:

Step-by-step explanation:

7x225 = 1575

The teachers will pay a total of $1,575 for the math conference.

Given that 7 teachers going to a math conference, the fee registration is $225 for each teacher,

We need to find that how much do the pay teachers pay,

To calculate the total amount the teachers pay for the math conference, we need to multiply the number of teachers by the registration fee.

Number of teachers: 7

Registration fee per teacher: $225

Total amount paid by teachers = Registration fee per teacher × Number of teachers attending

Total amount paid by teachers = $225 × 7 = $1575

So, the teachers' pay a total of $1575 for the math conference registration.

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When we describe relationships between variables, a correlation nearer to 1.00 (plus or minus) indicates the relationship between variables is strong.

The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number. However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.

When correlation is known, predictions can be made using it. Knowing a score on one measure helps us predict another that is closely related to it more accurately. The forecast will be more accurate the stronger the correlation between/among the variables.

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The length of the stick was 7.55 cm.

Given that,

initial speed of bug is given by, v=0.65 m/s

m refers to the mass of bug.

Mass of stick is given by, M= 10m

I refers to the moment of inertia of bug and stick together about the end of the stick.

ω refers to the angular velocity of the bug and stick immediately after collision.

L refers to length of stick

Stick can be considered rod.

Now, moment of inertia about end of a rod is given by = 1/3 ML²

From angular momentum conservation theory we can get,

total initial angular momentum = total final angular momentum

mvL = Iω

mvL = [mL² + 1/3 ML²] ω

mvL = [mL² + 1/3 (10m) L²] ω

0.65 L = 4.333 L²ω

L = 0.15/ω

ω = 0.15/L

Change in vertical position center of mass of rod is given by,

H = L/2 [1 - cos θ]

Change in vertical position of bug after reaching max height is given by,

h = L [1 - cos θ]

From energy conservation law we can conclude that,

Rotational kinetic energy immediately after collision = Potential energy of bug and stick system at max height .

(1/2) [mL² + 1/3 ML²] ω² = mgh + MgH

(1/2) [mL² + 1/3 (10m) L²] ω² = m(gh + 10gH)

2.167 L²ω² = g (h + 10H)

2.167 L² (0.15/L)² = g [L [1 - cos θ] + 5L [1 - cos θ]] (Substituting the relations from previous)

(2.167) (0.15)² = 6 (9.8) L (1 - cos 8.5)

L = 0.0755 m (Rounding off to nearest fourth decimal places)

L = 7.55 cm

Hence the length of the stick was 7.55 cm.

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The question is incomplete. The complete question will be -

Answer:

The True answer is -2>-3

Dodie's triangular plot with 160 rose plants will have 12 rows.

To solve it,

Assigning a variable to the number of rows we want to find. Assume that this variable is "n".

Since there are 5 more plants in each row than in the previous row,

We can use an arithmetic sequence to represent the number of plants in each row.

Specifically, the first row will have 1 plant, and the second row will have

1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.

The formula for an arithmetic sequence is,

an = a1 + (n-1)d

Where an is the nth term of the sequence,

a1 is the first term,

And d is a common difference.

Using this formula, we can write an expression for the total number of plants in all n rows,

160 = n/2 (2 + (n-1)5)

Simplifying this equation, we get,

160 = 2.5n² + 2.5n - 5

Now we can solve for n using the quadratic formula,

n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))

After simplifying this equation, we get two solutions,

n = -13.2 and n = 12.2.

Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.

Now, since we can't have a fraction of a row, we'll round down to the nearest integer.

Therefore, Dodie's plot will have 12 rows.

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Answer: figure it out.

Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...