Name two sides that appear to be intersecting, but not perpendicular

Answer:

what are you asking, I need more information.

Answer:

48 push-ups

Step-by-step explanation:

40 to 5 = 48 to 6

The compound inequality represented by the graph shown in the image below is 5 < x < 9

An equation is an expression that shows the relationship between two or more variables and numbers.

The image shown represents a compound inequality. It represents:

x > 5 and x < 9

The compound inequality represented by the graph shown in the image below is 5 < x < 9

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As the percentages of dropouts are different there is sufficient evidence that the dropout rate at this school is different from the state level.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, In recent years, 3% of Ohio high school seniors drop out last year.

On the other hand Podunk, high school had 30 dropouts from their total enrollment of 600 students which is,

= (30/600)×100%.

= 5%.

So, there is sufficient evidence that the dropout rate at this school is different from the state level.

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The differential equation dQ(t)/dt = -kQ(t) is used to described the given situation.

The differential equation describing the given situation is:

dQ(t)/dt = -k * Q(t)

In this equation, dQ(t)/dt represents the rate of change of the amount of dissolved chemicals with respect to time t. The negative sign indicates that the amount of dissolved chemicals decreases over time.

The right side of the equation, -k * Q(t), represents the proportional relationship between the rate of change and the amount of undissolved chemicals. The constant k is the positive proportionality constant, indicating the speed at which the chemicals dissolve.

By solving this differential equation, we can determine the behavior and solution for the amount of dissolved chemicals over time in the given water-based solution.

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Answer:

451

Step-by-step explanation:

Answer:

5•10-21 is smaller because the remaining answer is 29.

Step-by-step explanation:

5•10-16= 34

5•10-21=29

The required polynomial f(x) is f(x) = x³ - 3x² - 13x - 21.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial etc. ax+b is a polynomial.

Here,
By the Factor Theorem, we know that:

f(x) = a(x - 7)(x + 1)(x + 3)

where a is a constant.

To find the value of a, we can use one of the given zeros. Let's use x = 7:

0 = f(7) = a(7 - 7)(7 + 1)(7 + 3) = 0

So, a = 0 if f(7) = 0. This makes sense as if x = 7 is a zero of the polynomial, then (x - 7) is a factor of the polynomial.

Now, we can write f(x) as,

f(x) = 0(x - 7)(x + 1)(x + 3) = 0

We can introduce a leading coefficient of 1, and write:

f(x) = a(x - 7)(x + 1)(x + 3) = 1(x - 7)(x + 1)(x + 3)

Expanding this out, we get:

f(x) = (x - 7)(x + 1)(x + 3)

= (x² - 6x - 7)(x + 3)

= x³ - 3x² - 13x - 21

Therefore, the polynomial f(x) is f(x) = x³ - 3x² - 13x - 21.

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Alex buys 1 rubber and 5 rulers for £7. Raphi buys 3 rubbers and 4 rulers for £7. 25. Then one rubber costs £6.46 and one ruler costs £0.0682.

Equation 1: x + 5y = 7 (from "Alex buys 1 rubber and 5 rulers for £7")

Equation 2: 3x + 4y = 7.25 (from "Raphi buys 3 rubbers and 4 rulers for £7.25")

Multiplying Equation 1 by 3 gives:

3x + 15y = 21

Subtracting Equation 2 from this gives:

11y = 0.75

Therefore, y = 0.75/11 ≈ 0.0682 (rounded to 4 decimal places)

Now we can substitute y back into Equation 1 to solve for x:

x + 5(0.0682) = 7

Simplifying and solving for x gives:

x = 6.46/1 ≈ 6.46 (rounded to 2 decimal places)

thus, one rubber costs £6.46 and one ruler costs £0.0682.

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The rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

The Gompertz function is a solution of the differential equation:

dP/dt = c ln(K/P) P

where P(t) is the population at time t, c is a constant, and K is the carrying capacity, i.e., the maximum population that can be sustained by the available resources.

To solve this differential equation, we can use separation of variables:

dP/P ln(K/P) = c dt

Integrating both sides, we get:

∫ dP/P ln(K/P) = ∫ c dt

Integrating the left-hand side requires a substitution. Let u = ln(K/P), then du/dP = -1/P and the integral becomes:

-∫ du/u = -ln|u| = -ln|ln(K/P)|

The right-hand side is just:

c t + C

where C is an arbitrary constant of integration.

Putting these together, we get:

-ln|ln(K/P)| = ct + C

Taking the exponential of both sides, we get:

|ln(K/P)| = e^(-ct-C)

Using the absolute value is unnecessary, since ln(K/P) is always positive, so we can drop the absolute value and write:

ln(K/P) = e^(-ct-C)

Solving for P, we get:

P = K e^(-e^(-ct-C))

This is the Gompertz function, which gives the population as a function of time, under the assumption that the rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

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Step-by-step explanation:

the answer is xxl in roman number or 21

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

y= 1/2x -7

Step-by-step explanation:

Find the y-intercept. It is where the line crosses "y" which is -7

Next find the rise and the run for "x"

Rise - 1

Run - 2

Then put them in slope intercept form

y=1/2x -7

Let's assume the amount invested at the higher interest rate (16%) is x dollars.

The amount invested at the lower interest rate (6%) would then be ($80,000 - x) dollars, as the total investment is $80,000.

The interest earned from the investment at 16% is calculated as (x * 16%) = 0.16x dollars.

The interest earned from the investment at 6% is calculated as (($80,000 - x) * 6%) = 0.06(80,000 - x) dollars.

According to the given information, the retiree receives a total interest of $8,900 per year. So we can set up the equation:

0.16x + 0.06(80,000 - x) = 8,900

Now, let's solve the equation to find the value of x:

0.16x + 0.06(80,000 - x) = 8,900

0.16x + 4,800 - 0.06x = 8,900

0.1x + 4,800 = 8,900

0.1x = 8,900 - 4,800

0.1x = 4,100

x = 4,100 / 0.1

x = 41,000

Therefore, $41,000 is being invested at the higher interest rate (16%).

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer:

Step-by-step explanation:

0.3

A. greater than 0.3

The Margin of error is 0.3 when assuming a 90% confidence level.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

MOE = z score * s/√n

Where   is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

here, we have,

It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.

It is required to find the margin of error when the confidence level is 90%.

We have in the question:

at 90% confidence interval = 1.645 (From the Z score table)

s = 2.9

n = 320

Put the above values in the formula, we get:

MOE = 0.2666

Rounding the nearest tenth:

MOE = 0.3

Thus, The Margin of error is 0.3 when assuming a 90% confidence level.

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The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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It takes the second marathoner 4 hours and 40 minutes to complete the marathon.

Let's assume the distance of the marathon is "d" miles.

The first marathoner runs at a constant speed for 4 hours, so we can find their speed as:

speed = distance / time = d / 4

The second marathoner starts by running at 4 times the speed of the first marathoner, so their speed is:

speed = 4(d / 4) = d

For the second half of the race, the second marathoner's speed drops to 3/4 of the first marathoner's speed. Let's assume it takes "t" hours for the second marathoner to complete the second half of the race. Then, we can write:

d / 2 = (3/4)(d / 4)(t)

Simplifying this equation, we get:

t = (2/3) hours

So the total time it takes the second marathoner to finish the race is:

4 + (2/3) = 4 2/3 hours = 4 hours and 40 minutes.

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\(\text{Given that,}\\\\1-\cos A = \dfrac 12\implies \cos A = 1-\dfrac 12 = \dfrac 12\\\\\text{L.H.S}\\\\=\tan^2 A + 4 \sin^2 A\\\\=\dfrac{\sin^2 A}{\cos^2 A}+4(1-\cos^2 A)\\\\\\=\dfrac{1-\cos^2 A}{\cos^2 A} +4-4\cos^2 A\\\\\\=\dfrac{1-\left( \dfrac 12 \right)^2 }{\left(\dfrac 12 \right)^2 } +4 -4 \left( \dfrac 12 \right)^2\\\\\\=\dfrac{1- \dfrac 14}{\dfrac 14}+4-4\cdot \dfrac 14\\\\\\=\dfrac{\tfrac 34}{\tfrac 14}+4-1\\\\\\=\dfrac 34 \cdot 4 +3\\\\=3+3\\\\=6\\\\=\text{R.H.S}\)

An nth-degree polynomial function with real coefficients that satisfies the given conditions, where n = 3 and the zeros are -2 and 9 + 21, and the function value f(1) = 204, is f(x) = (x + 2)(x - (9 + 21))(x - 1).

To find the polynomial function that satisfies the given conditions, we start by considering the zeros. Since the zeros are given as -2 and 9 + 21, we can write the factors for the polynomial as (x + 2) and (x - (9 + 21)).

Next, we consider the function value f(1) = 204. This means that when x = 1, the function should evaluate to 204. To satisfy this condition, we include the factor (x - 1) in our polynomial.

Combining these factors, we have the polynomial function f(x) = (x + 2)(x - (9 + 21))(x - 1).

To verify the real zeros and the given function value, we can use a graphing utility. By graphing the function, we can observe the x-intercepts, which represent the zeros, and check if the function evaluates to 204 when x = 1.

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In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as

p(x) = a x ³ + b x ² + c x + d

We're told the leading coefficient is a = 1, so

p(x) = x ³ + b x ² + c x + d

Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.

Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:

p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)

Now just expand this to get

p(x) = x ³ - 3 x ² - 23 x - 35

The length of the common radius in the reversed curve can be calculated using the formula: radius = (chord length)² / (8 * perpendicular distance between the tangents)

Plugging in the given values: radius = (150m)² / (8 * 12m) = 1875m.

2) The distance from the Vito V2 (vertex of the reversed curve) can be calculated using the formula: distance from V2 = (chord length)² / (24 * perpendicular distance between the tangents) Substituting the values: distance from V2 = (150m)² / (24 * 12m) = 312.5m.

3) To calculate the station at PT, add the length of the reversed curve (chord length) to the station at PC: station at PT = station at PC + chord length = 20+348 + 150 = 20+498.

4) The length of the common radius can be calculated using the formula: radius = distance from PC to the 2nd tangent / (2 * sin(angle of convergence)) Substituting the given values: radius = 106m / (2 * sin(24°)) ≈ 246.74m.

5) The stationing at PCC can be found by subtracting the distance of the PC from the 2nd tangent from the station at PC: station at PCC = station at PC - distance from PC to the 2nd tangent = 32+460 - 106 = 32+354.

6) The stationing at PT can be calculated by adding the length of the reversed curve (chord length) to the station at PCC: station at PT = station at PCC + chord length = 32+354 + 150 = 32+504.

Note: The stations are written in the format "xx+xxx" where "xx" represents the whole stations and "xxx" represents the hundredths of a station.

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Answer:

27

Step-by-step explanation:

The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between the first and third quartiles of the data set.

Specifically, the first quartile (Q1) marks the 25th percentile of the data set, while the third quartile (Q3) marks the 75th percentile.

The difference between Q3 and Q1 is known as the interquartile range (IQR).The IQR is a helpful measure of spread in a data set since it excludes outliers from the calculation. Outliers are any data points that fall outside of 1.5 times the IQR above the third quartile or below the first quartile of the data set. Therefore, the middle 50% of the distribution for X lies between Q1 and Q3, with the IQR representing the range of values between these two quartiles.

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Answer:

3

Step-by-step explanation:

divide one side of the bigger triangle by the corresponding side of the smaller one

Answer:

3

Step-by-step explanation:

Divide the bigger triangle by the little one

3/1=3

then 12/4=3

Solving the quadratic equation, we will see that the frisbee will hit the ground after 8.5 seconds.

We know that the height of the frisbee is modeled by the quadratic equation:

h(t) = -0.07*t^2 + 0.007*t + 5

The frisbee will hit the ground when h(t) = 0, so we just need to solve the quadratic equation:

0 = -0.07*t^2 + 0.007*t + 5

We can just use the quadratic formula to get the solutions:

\(t = \frac{-0.007 \pm \sqrt{0.007^2 - 4*(-0.07)*5} }{2*-0.07} \\\\t = \frac{-0.007 \pm 1.18 }{-0.14}\)

We only care for the positive solution, which is:

t = (-0.007 - 1.18)/-0.14 = 8.5

So the frisbee will hit the ground after 8.5 seconds.

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Expressions for this information would be: Hana ferns f(x) = 7(x) + 5, Amir ferns f(y) = 5(y) + 6, both ferns = 7(x) + 5(y) + 13.

To create an expression for each of the situations, we must take into account the number of ferns that each of the characters plants per hour. Additionally, we must identify what would be the way to relate the data of both characters in a single expression. According to the above, the expressions would look like this:

In this expression, the x is multiplied by 7 because that is the number of plants you plant per hour; and the +5 represents the number of plants you planted the day before.

In this expression, the Y is multiplied by 5 because that is the number of plants you plant per hour; and the +6 represents the number of plants you planted the day before.

Finally, the expression that would represent both situations would be:

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(1, 1) is not  solution of system of equations.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to check the  point (1, 1) is a solution to the system of equations.

graph of a line 3 times x plus 2 and the absolute value of x minus 1 plus one.

y = 3x + 2

g = |x-1| +1

We obtain the intersection point

(0,2)

The only point of intersection of the graphs is (0, 2).

The point of intersection is the solution to the system of equations. (1, 1) is not the point of intersection

Hence, (1, 1) is not  solution of system of equations.

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Answer:

1=original image before transformation

2=shape or object that has been transformed

3=change made to shape or object

4=the mirror line

5=transformation in which figure flipped over line

Step-by-step explanation:

Answer:

1. pre-image the original shape or object that is being transformed

2. image is a shape or object that has been transformed

3. transformation is a change made to a shape or object.

4. line of reflection is the mirror line; the line across where a figure is flipped

5. reflection is a transformation in which the figure is flipped  over a line to give a mirror image of the original figure

Step-by-step explanation:

The Z scores a way to standardize and compare data, as well as to identify outliers.

In simple terms, Z bases give information about how far a data point is from the means of the data set in standard deviation units. The original non-standardized heights, on the other hand, did not guarantee this information.

Z scores are used to standardize data and are useful when comparing two or more different data sets. By converting the original data to Z scores, we can compare data that is on different scales or has different units.

For example, suppose we have two data sets: one with heights measured in inches and the other with weights measured in pounds. We cannot compare these data sets directly as they are at different scales. However, by converting them to Z scores, we can compare them on the same scale.

In addition, the obtained Z's provided a way to identify outliers in the data set. Outliers are data points that are unusually far from the means of the data set. Z scores greater than 3 or less than -3 are generally considered outliers.

In general, the obtained bases are a way to standardize and compare data, as well as to identify outliers.

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