someone help okeseeee

Answer:

-4x+y=-22

Step-by-step explanation:

-4x +y= -22  is the equation of this line in Standard Form .

What is in slope-intercept form?

m = 4

the point =  (5, -2)

the equation of this line

          y - y₁ = m ( x - x₁)

          y - ( -2 ) = 4 ( x - 5 )

          y + 2 = 4( x - 5 )

           y + 2 = 4x - 20

            y = 4x - 20 - 2

            y = 4x - 22

          -4x +y= -22

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Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Please find the photograph for the square root of 3.

4√3

= 4 × 1.732

= 6.928

6.928

Hope it helps

The non-real solutions according to the equation is (1 + √5 i)/3 and (1 - √5 i)/3.

A polynomial can be factored, and its roots can be discovered using the factor theorem. The polynomial residual theorem is indeed a special instance of this one.

A polynomial f(x) has a factor (x-a), as was noted in the beginning, if and only if f(a) = 0.

As per the given equation in the question,

3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48

The function can be written as:

f(x) = g(x).h(x)  (i)

The real solutions from the graph is,

x₁ = -6, x₂ = -4 and x₃ = 1.

So,

g(x) = (x + 6) × (x + 4) × (x - 1)

g(x) = (x² + 10x + 24) × (x - 1)

g(x) = x³ + 9x² + 14x - 24.

Now, substitute the values in (i)

3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48 = (x³ + 9x² + 14x - 24) × (ax² + bx + c)

Therefore,

ax⁵ = 3⁵

a = 3.

-24c = -48  

c = 2.

-24(bx) + 14(cx) = 76x

-24b + 28 = 76

b = -2.

The equation for non-real solution:

h(x) = 3x² - 2x + 2.

Δ = b² - 4ac = (-2)² - 4(3)(2) = -20

x₁ = (2 + √20)/6 = (1 + √5 i)/3

x₂ = (2 - √20)/6 =  (1 - √5 i)/3

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hello

from the point on the graph, we can notice that it is in between (-3) and (-2) value. this corresponds to -(2 1/2).

But then the absolute value of this number would be

the value of the answer corresponds to option D

The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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The general solution is: y = c₁e^(2t)cos(3t) + c₂e^(2t)sin(3t) where c₁ and c₂ are arbitrary constants.

To solve the second-order differential equation with constant coefficients y" - 4y' + 13y = 0, we can assume a solution of the form y = e^(rt), where r is a constant to be determined.

Substituting this assumption into the differential equation, we get:

y" - 4y' + 13y = 0

\((e^(rt))" - 4(e^(rt))' + 13(e^(rt)) = 0\)

Differentiating twice with respect to t:

\(r^2 e^(rt) - 4r e^(rt) + 13 e^(rt) = 0\)

Factoring out e^(rt):

\(e^(rt) (r^2 - 4r + 13) = 0\)

For the equation to hold true for all t, the expression in parentheses must be zero:

\(r^2 - 4r + 13 = 0\)

Using the quadratic formula:

r =\((4 ± sqrt((-4)^2 - 4(1)(13))) / (2*1)\)

r = (4 ± sqrt(16 - 52)) / 2

r = (4 ± sqrt(-36)) / 2

r = (4 ± 6i) / 2

r = 2 ± 3i

Since we have complex roots, the general solution is:

y = c₁\(e^(2t)\)cos(3t) + c₂\(e^(2t)\)sin(3t)

where c₁ and c₂ are arbitrary constants.

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False. The graphical method is only suitable for linear programming problems with two decision variables. For problems with more than two variables, programming techniques such as the simplex method are used.

Variables play a crucial role in both graphical and programming methods as they represent the unknown quantities in the problem.

True, the graphical method can be used to solve linear programming problems with four decision variables. However, it may be more challenging and less efficient compared to other methods, such as the simplex method, when dealing with a higher number of variables.

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Answer:

Step-by-step explanation:

p = k / sqrt(q)

The first job is to find k.

p = 12

q = 36

Solution for k

12 = k / sqrt(36)

sqrt(36) = +/- 6

Multiply both sides by +/-6

12 * +/- 6 = k

k = +/- 72

Solution for q = 16

p = +/-72/ sqrt(16)

p  = +/- 72 / sqrt(16)

p = +/- 72 / +/-4

p = 18

The result of the expression as a mixed fraction is -1 5/12

Given the expression

\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Write as an improper fraction

\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)

Using the PEDMAS rule;

\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)

Find the LCM of the result

\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)

Hence the result of the expression as a mixed fraction is -1 5/12

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The expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

1.

Given the expression;

\(\sqrt{\frac{9x^3}{4y^2} }\)

Take the square root of the variables;

= \(\frac{3x^3^/^2}{y}\)

2. (2-5i)(3+7i)-(4+3i)

expand the bracket

6 + 14i - 15i - 35i² - 4 - 3i

collect like terms

2 - 4i -  35i²

3. Given the expression;

\(\sqrt[3]{81} x^7 y^9z^5\)

Take the cube root of the value, we have;

4x^7y^9z^5

Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i -  35i² and 4x^7y^9z^5

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Answer:

7:00pm

Step-by-step explanation:

The approximate probability that a married woman selected at random is taller than her husband is 8.85%.

We can use the concept of sampling distribution of the difference between two means to approximate the probability that a randomly selected married woman is taller than her husband.

Let X be the height of a married man and Y be the height of a married woman. Then, the probability that a woman is taller than her husband can be expressed as P(Y > X).

The sampling distribution of the difference between two means can be approximated by a normal distribution if the sample sizes are large enough. In this case, since we have a large sample of 400 couples, we can assume that the sampling distribution of the difference in heights between married men and women is approximately normal.

The mean of the difference in heights between married men and women is

65 - 70 = -5 inches

The standard deviation is the

√(3² + 2.5²) = 3.7 inches.

We can then standardize the difference using the formula:

Z = (Y - X - (-5))/3.7

P(Y > X) = P(Z > (0 - (-5))/3.7) = P(Z > 1.35)

Using a standard normal table or calculator, we find that the probability of a woman being taller than her husband is approximately 0.0885 or 8.85%.

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Complete question is:

A random sample of 400 married couples was selected from a large population of married couples.

Heights of married men are approximately normally distributed with mean 70 inches and standard deviation of 3 inches.

Heights of married women are approximately normally distributed with mean 65 inches and standard deviation 2.5 inches.

There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter than her husband

suppose that a married man is selected at random and a married woman is selected at random. find the approximate probability that the woman will be taller than the man.

Answer:

x < -8

Step-by-step explanation:

3 - (2x - 5) < -4 (x+2)

distribute

3 - 2x + 5 < -4x - 8

add the numbers

8 - 2x < -4x - 8

move the x

2x < -16

divide

x < -8

Evaluating this integral will give us the average value of the function f(x, y) over the rectangle R.

To find the average value of the function f(x, y) = x^2y over the rectangle R with vertices (-1, 0), (-1, 8), (2, 8), and (2, 0), we need to calculate the double integral of f(x, y) over the region R and divide it by the area of the region.

The area of the rectangle R can be calculated as the product of the length and width:

Area = (2 - (-1)) * (8 - 0) = 3 * 8 = 24

The double integral of f(x, y) over R is:

∬R f(x, y) dA

To calculate this integral, we need to set up the limits of integration for x and y. Since the rectangle R is defined by the given vertices, the limits for x are -1 to 2, and the limits for y are 0 to 8.

Therefore, the average value of f(x, y) over the rectangle R is given by:

Average value = (1/Area) * ∬R f(x, y) dA

Substituting the limits and the function into the integral, we get:

Average value = (1/24) * ∫[0,8] ∫[-1,2] x^2y dx dy

Evaluating this integral will give us the average value of the function f(x, y) over the rectangle R.

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The total distance from the library to the school is 1,020,000 centimeters (1.02 x 10^6 cm), and the distance from the school to home is 480,000 centimeters (4.8 x 10^5 cm).

To find the total distance from the library to the school, we add the distance from the library to home (unknown) and the distance from home to the school (540,000 cm):

Total distance = Distance from library to home + Distance from home to school

Total distance = x + 540,000 cm

Given that the distance from home to school is 480,000 cm, we can substitute it into the equation:

Total distance = x + 480,000 cm + 540,000 cm

Total distance = x + 1,020,000 cm

Therefore, the total distance from the library to the school is 1,020,000 centimeters (1.02 x 10^6 cm).

Similarly, the distance from the school to home is given as 480,000 centimeters (4.8 x 10^5 cm).

It's important to note that the unknown distance from the library to home is represented by 'x' in this explanation, and its value is not provided in the question.

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The linear equation that gives the rule for this table is y = -5x + 15

The table of values is given as:

x y

1 10

2 5

3 0

4 –5

On the above table, we can see that:

As x increases by 1, the value of y decreases by 5

This means that the slope is

Slope = -5

Also, the above table can be modified as follows (using the slope of -5)

x y

0 15

1 10

2 5

3 0

4 –5

This means that the y-intercept is

y-intercept = 15

A linear equation is represented as

y = slope * x + y-intercept

So, we have

y = -5x + 15

So, the equarion is y = -5x + 15

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With 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

To find the 82% confidence interval for the mean weight gain over the holidays in December, you can use the following formula:

\(CI = xd ± t*(SDd/sqrt(n))\)

where:

xd = average weight change of sample (0.11 lb increase)

SDd = standard deviation of weight difference (5.25 lbs)

n = sample size (23)

t = the critical value of the t distribution with n-1 degrees of freedom and the desired confidence level (82% in this case)

You can use a t-table or a calculator to find the critical value of the t-distribution. With 22 degrees of freedom (n-1) and an 82% confidence level, the critical value is approximately 1.319.

Plugging in the given values ​​gives:

\(CI = 0.11 ± (1.319*(5.25/sqrt(23))) = (-1.25, 1.47)\)

Therefore, we can say with 82% confidence that the true average weight gain during the December holidays for the sampled adult population is between -1.25 pounds. and 1.47 pounds.

Note that the confidence intervals include zero. This means that we cannot reject the null hypothesis that there is no significant difference in weight between mid-November and he early-to-mid-January.

However, this does not necessarily mean no weight gain during his December vacation, as there is individual variation in weight change within the sample.  

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The 90% confidence interval for the mean OSU students’ IQ exam scores is:

105 ± 4.42 or (100.58, 109.42) and we have given the justified relevant confidence interval.

What is the confidence interval?

The confidence interval is a statistical range that estimates the unknown true value of a population parameter, such as the mean or the proportion, based on a sample of data. It gives us a range of values in which we are confident that the true population parameter lies with a certain level of certainty or confidence.

In the given example, we want to estimate the mean IQ exam score for all OSU students based on a random sample of 44 students. We know the population standard deviation, which is σ = 15 points. To find a 90% confidence interval for the mean OSU students’ IQ exam score, we can use the following formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as follows:

Margin of error = z* (σ/√n)

where z* is the critical value of the standard normal distribution for a 90% confidence level, which can be found using a table or calculator. For a two-tailed test, the critical value is ±1.645.

n is the sample size, which is 44 in this case.

Plugging in the values, we get:

Margin of error = 1.645 * (15/√44) ≈ 4.42

The sample mean is 105 points.

Therefore, the 90% confidence interval for the mean OSU students’ IQ exam score is:

105 ± 4.42 or (100.58, 109.42)

We can justify the relevant confidence interval conditions as follows:

Random sampling: The sample is chosen randomly, which ensures that it is representative of the population.

Independence: The sample observations are independent of each other, which means that the results are not influenced by any external factors.

Normality: The sample size is sufficiently large (n > 30), so we can assume that the sampling distribution of the sample mean is approximately normal.

Population standard deviation is known: We are given that the population standard deviation is σ = 15 points, which allows us to use the normal distribution to find the confidence interval.

Hence, The 90% confidence interval for the mean OSU students’ IQ exam scores is:

105 ± 4.42 or (100.58, 109.42) and we have given the justified relevant confidence interval.

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The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is

Mean =9.5

Median = 11 or 9

Mode is 9

Given that,

The data is 9,10,9,9,11,9,10,9,9,10

The data's mean, median, and mode must be determined.

We know that,

The arithmetic mean of the provided data is another name for mean. If the data are grouped and sorted in ascending order, the median is the value that falls in the middle of the set of grouped data. The value that dominates the data is known as the mode. The Mean, Median, and Mode formulas are described independently for the group of data in the sections that follow.

The data is 9,10,9,9,11,9,10,9,9,10

Mean = 9+10+9+9+11+9+10+9+9+10/10 =95/10=9.5

Median = 11 or 9

Mode is 9

Therefore, The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is

Mean =9.5

Median = 11 or 9

Mode is 9

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C. Whole

Answer:

m

Step-by-step explanation:

Answer:

There are 15 different sequences of rolls that could have resulted in a product of 300 when rolling a 6-sided die five times.

Step-by-step explanation:

To determine the number of different sequences of rolls Catherine could have had, we need to find the number of ways to express 300 as the product of five factors.

Let's factorize 300:

300 = 2 * 2 * 3 * 5 * 5

Now, we can assign these factors to the five rolls. Since the order of the rolls matters, we can use the concept of permutations.

We have two 2s, one 3, and two 5s. To find the number of different sequences, we need to calculate the permutations of these factors.

The number of permutations of five items taken from a set of two identical items, one identical item, and two identical items can be calculated using the formula:

P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)

Where:

n is the total number of items (5 rolls)

n1, n2, ..., nk are the number of identical items (2, 1, 2)

Using this formula, we can calculate the number of different sequences of rolls:

P(5; 2, 1, 2) = 5! / (2! * 1! * 2!) = (5 * 4 * 3 * 2 * 1) / (2 * 1 * 1 * 2) = 60 / 4 = 15

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Answer:It would be f(n)= f(n-1) +4 this is because f(n-1) means the previous term and you would add your 4 every time you gain.

Step-by-step explanation:

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Missing part of the question:

Let  x represent the length of the first piece. Write an equation that represents the ratio of the first piece of ribbon to the second piece. Be sure to define your variable or variable expressions.

Answer:

\(3x = 2y\)

Step-by-step explanation:

Given

x = first

y = second

Required

Represent as an equation

From the question, when x is divided by y, it gives ratio of 2 to 3.

This implies that:

\(\frac{x}{y} = \frac{2}{3}\)

Cross Multiply

\(3x = 2y\)

Answer:

  b. g(t) = 1.5 sin (π t) +3.5

Step-by-step explanation:

You want to choose the function that has the given graph.

At t = 0, the graph shows a value of 3.5. The sine of 0 is 0, so this eliminates choice A.

At t = 1/2, the graph shows a value of 5. The values given by the different formulas are ...

  b. g(1/2) = 1.5·sin(π/2) +3.5 = 5 . . . . . matches the graph

  c. h(1/2) = 1.5·sin(π) + 3.5 = 3.5 . . . . no match

  d. h(1/2) = 1.5·sin(π/4) +3.5 = 0.75√2 +3.5 . . . . no match

__

Additional comment

The horizontal distance for one period of the graph (from peak to peak, for example) is T = 2 seconds. If the sine function is sin(ωt), then the value of ω is ...

  ω = 2π/T = 2π/2 = π

This tells you the function g(t) = 1.5·sin(πt)+3.5 is the correct choice.

Answer:

x (x + 4) (x - 4)

Answer:

34

Step-by-step explanation:

the equation is 2(lw+lh+wh)

2( 1.5 x 2 + 1.5 x 4 + 2 x 4)

Answer:

Step-by-step explanation:

surface area=2lb+2(l+b)h

=2×1.5×2+2(1.5+2)×4

=6+2×3.5×4

=6+28

=34 sq. m

The value of x from the equation is 1

The value of y from the equation is 7

-5x+2y= 9............equation 1

y= 7x...............equation 2

Substitute 7x for y in equation 1

-5x + 2(7x) = 9

-5x + 14x= 9

9x= 9

x= 9/9

x= 1

Substitute 1 for x in equation 2

y= 7x

y= 7(1)

y= 7

Hence the value of x is 1 and the value of y is 7

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.