rewrite 9/10 and 13/14 so that they have a common denominator

Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

AB and DE, BC and FE, then AC and DF

The solution is worked out using sides BC and FE, then AC and DF

BC / AC = FE / DF

8 / AC = 16 / 20

reducing the fraction 16/20 gives

8 / AC = 8 / 10

hence  AC = 10

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A study group of five people wants to track the root growth of sweet potatoes. To achieve this, the group should create a table to keep track of the data and then use the data to create the appropriate charts. To answer this question, we must first understand what root growth is and why it is important.

Root growth refers to the lengthening and thickening of roots over time. Root growth is essential for the survival of plants, as it allows them to absorb water and nutrients from the soil. Sweet potatoes are particularly interesting because they are root vegetables, meaning that the part of the plant that we eat is the root itself.
To track root growth, the study group should create a table that records the length and thickness of the sweet potato roots over time. The group should measure the roots at regular intervals, such as once a week, and record the measurements in the table. The table should also include the date and any other relevant information, such as weather conditions or soil quality.
Once the study group has collected enough data, they can use it to create appropriate charts. Line charts are ideal for showing how root length and thickness change over time, while bar charts are ideal for comparing the root growth of different sweet potato varieties or under different growing conditions.
In conclusion, tracking root growth is an essential part of understanding how sweet potatoes grow and develop. To do this, the study group should create a table to keep track of the data and then use the data to create appropriate charts. The table should include the date, root length, root thickness, and any other relevant information, while the charts can be used to visualize the data and draw conclusions.

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After considering all the given data provided by the question we conclude that the number 18 present in the given equation  is  constant .

The equation for the sunflower's height is h = 18 + 2.5w.
Here, the number 18 shows the height of the sunflower during the time it was planted, so it is the constant term present in the equation and hence it does not relie on the duration of weeks that have passed.
The coefficient of w is 2.5, which represents the rate at which the sunflower grows in height per week.
Therefore, after one week, the sunflower would be 20.5 inches tall (18 + 2.5 x 1), after two weeks it would be 23 inches tall (18 + 2.5 x 2), after four weeks it would be 28 inches tall (18 + 2.5 x 4), and after six weeks it would be 33 inches tall (18 + 2.5 x 6).

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Answer: the company should sell there phones for 250

Step-by-step explanation: took the test

The standard normal distribution has a mean and a standard deviation is option (B) 0 and 1 is the correct answer.

In this question,

The standard normal distribution, also called the z-distribution, is a special normal distribution. Any normal distribution can be converted into the standard normal distribution by turning the individual values into z-scores.

The standard normal distribution is a tool to translate a normal distribution into numbers which may be used to learn more information about the set of data than was originally known. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.

Hence we can conclude that the standard normal distribution has a mean and a standard deviation is option (B) 0 and 1 is the correct answer.

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Answer:

1/8

Step-by-step explanation:

1/2 ÷4​

Copy dot flip

1/2 * 1/4

1/8

Answer:

1/8

I want brainliest!!! :)

Step-by-step explanation:

1/2 divided by 4

1/2/4 = 1/8

1 minute = 0.25km

Step-by-step explanation:

divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

The domain of the function h(x)=9x/x(x²-49) is (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

In math the term called the domain of a function is the set of its possible inputs which is the set of input values where for which the function is defined.

Here we have know the function is h(x)=9x/x(x²-49)

And we need to find the domain of the function.

Here we know that this function is defined for values where the denominator is not equal to zero.

Which is written as,

=> x(x²-49) ≠ 0

When we elaborate the equation based on the difference between the two squares property, it can be written as,

=> x(x + 7)(x - 7)  ≠ 0

Based on this we have identified that the value of x must not be

=> x  ≠ -7, 7, 0

Then the domain of the function is written as,

=> (-∞, -7) ∪ (-7, 0) ∪ (0, 7) ∪ (7, ∞).

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The power series representation for f(x) = 1/2 arctan(x/2) is given by (x/4) - (x^3)/24 + (x^5)/160 - (x^7)/1120 + ..., and the radius of convergence is 1 with the interval of convergence -1 < x < 1.

To find a power series representation for the function f(x) = 1/2 arctan(x/2), we can start by using the power series representation for arctan(x):

arctan(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...

Next, we substitute x/2 into the series for arctan(x) and multiply by 1/2:

1/2 arctan(x/2) = (1/2)(x/2) - (1/2)(x^3/2^3)/3 + (1/2)(x^5/2^5)/5 - (1/2)(x^7/2^7)/7 + ...

Simplifying this expression, we have:

1/2 arctan(x/2) = (x/4) - (x^3)/24 + (x^5)/160 - (x^7)/1120 + ...

This is the power series representation for the function f(x) = 1/2 arctan(x/2).

To determine the radius of convergence and interval of convergence for this power series, we can use the ratio test. Applying the ratio test, we have:

lim(n→∞) |a_(n+1)/a_n| = lim(n→∞) |(x^2n+2)/(2^(2n+2)(2n+1)) * (2^(2n)(2n-1))/(x^2n)|

Simplifying and taking the absolute value, we get:

lim(n→∞) |x^2/(4n^2 + 4n)| = |x^2|

Since the limit is |x^2|, the series converges for values of x such that |x^2| < 1. Therefore, the radius of convergence is 1, and the interval of convergence is -1 < x^2 < 1. Taking the square root of the inequality, we have -1 < x < 1.

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the coefficient of correlation in this situation is 0.65.The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables.
TheThe coefficient of determination (R-squared) is defined as the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. It ranges from 0 to 1, where 0 means that none of the variance in the dependent variable is explained by the independent variable(s), and 1 means that all of the variance in the dependent variable is explained by the independent variable(s).

The coefficient of correlation (r) is a measure of the strength and direction of the linear relationship between two variables. It also ranges from -1 to 1, where -1 means a perfect negative correlation, 0 means no correlation, and 1 means a perfect positive correlation.

Since the coefficient of determination is equal to the square of the coefficient of correlation, we can find the coefficient of correlation as the square root of the coefficient of determination:

r = sqrt(0.4225) = 0.65

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Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

Answer:

The answer is D.

Step-by-step explanation:

Semi-monthly means every half month, you will get paid once. So each month you will get paid twice.

Answer:

y=mx+b

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

670183

Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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There is enough proof that the mean raw score for the school's applicants is more than 30 at a significance level of α = 0.01, therefore we reject the null hypothesis.

The null hypothesis H0: μ ≤ 30 mean raw score for the school's applicants is less than or equal to 30 and the alternative hypothesis Ha: μ > 30

We can utilize a one-tailed t-test since we don't know the population standard deviation and our sample size is less than 30. The test statistic is evaluated

t = (x' - μ) / (s / √n)

here
x'= sample mean = 31,
μ = hypothesized population mean = 30,
s =  standard deviation = 2.5,
n = sample size = 50.

t = (31 - 30) / (2.5 / √50)
= 3.16

Applying  t-distribution table with degrees of freedom (df) = n - 1 = 49 and a significance level of α = 0.01, we find that the critical value is
t-critical = 2.404.

The calculated t-value (3.16) is greater than our critical value (2.404), we reject the null hypothesis since there is enough evidence to support the student's claim that the mean raw score for the school's applicants is more than 30 at a significance level of α = 0.01.

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The Minkowski distance between the data points p=(8, 15) and q=(20, 6) using h=4 is approximately 11.6.

The Minkowski distance is a generalization of other distance measures such as the Euclidean distance and Manhattan distance. It calculates the distance between two points by summing the absolute values of the differences raised to the power of a constant parameter h. In this case, h=4.To calculate the Minkowski distance, we first find the absolute differences between the coordinates of p and q: |8-20| = 12 and |15-6| = 9.

Then we raise each difference to the power of h=4: 12^4 = 20,736 and 9^4 = 6561. Finally, we sum the raised differences: 20,736 + 6561 = 27,297. Taking the fourth root of this sum gives us the Minkowski distance: √27,297 ≈ 165.5. Rounding to one decimal place, the Minkowski distance between p and q is approximately 11.6.

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Answer:

false

Step-by-step explanation:

96/3=32

72/2=36

The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

What is inequality?

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.

We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.

So we can set up the following inequality:

Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%

Substituting the given values, we get:

$3,915 / $4,158.33 ≤ 0.35

Simplifying this inequality, we get:

0.9407 ≤ 0.35

This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:

Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92

Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:

$3,915 - $1,454.92 = $2,460.08

Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:

x ≥ $2,455.21

Hence,  the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

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Answer:

2.  f(-2) = 15

3. E = 10h

4. y = 3.50x + 10

5. $41.50

6. y = 3x -  8

7. y = x + 4

Step-by-step explanation:

#2
Given f(x) = -x² - 4x + 3
f(-2) = (-2)² -4(-2) + 3

= 4 + 8 + 3

= 15

3.At $10 per hour for h hours the earnings will be E = 10h

4. $10 is a constant charge irrespective of number of hours worked

So we get
y = 3.50x + 10

5. For 9 hours, we have x = 9 in the above equation
So y = 3.50(9) + 10

y = 31.50 + 10 = 41.50
So total charge = $41.50

6. The equation of a line in slope-intercept form is
y = mx + b

m is the slope = rate of change of y wrt to x
= (y2 - y1)/(x2 - x1) for any two sets of values (x1, y1) and (x2, y2)

y2 - y1 is known as the rise and x2 - x1 the run

So slope m = rise/run

Take x1 = 0, y1 = -8
x2 = 1, y2 = -5

rise = y2 - y1 = -5 - (-8) = -5 + 8 = 3

run = x2 - x1 = 1 - 0 = 1

Slope m = rise/run = 3/1 = 3

b in the equation is the y-intercept, the value of y when the line crosses the y-axis. this is the value corresponding to x = 0

We see from the table that at x = 0, y = -8

So b = -8

The equation of the line is

y = 3x - 8

(we can verify this by testing some of the values of x with the actual table values and see they are consistent with the equation values but I leave that as an exercise for you)

7. From the graph we can spot 2 clearly defined points which can yield the slope

(x1, y1) = (0, 4) and (x2, y2) = (-4, 0)

Rise = y2 - y1 = 0 - 4 = -4

Run =- 4 - 0 =- 4

Slope m = rise/run = -4/-4 = 1

b = y-intercept = value of y when x = 0 and this is 4

So equation of line is
y = 1x + 4

or

y = x + 4

D. 17 years olddddddddddd

to make a perpendicular function from another we must take its slope and make two transformations

the slope of y=1/3x is 1/3

the transformations:

1.

reverse the number

2.

and change the sign

ok we have the slope now need the general equation of the line

where m is the slope , b a cut point and (x,y) a point

so, we have the slope=-3 , and the point (2,-3) we can replace to find b

now we can replace b and the slope to have the final equation

The equation  y + 2x = 3 best represents the relationship between x and y in the graph.

We are provided with the graph shown in question. We were supposed  to find the equation of the line shown in the graph. From this graph we can clearly see that the line is passing through ( 1.5 , 0 ) and ( 0 , 3 ).

The equation of line passing through two points is given below:

\((y - y_{1}) = (\frac{y_{2}-y_{1} }{x_{2}-x_{1} }) (x - x_{1} )\)

As the line is passing through points  ( 1.5 , 0 ) and ( 0 , 3 ) , so we can write the above equation as

( y - 0 ) = ( ( 3 - 0 )/( 0 - 1.5 ) ) ( x - 1.5 )

y = -2 ( x - 1.5 )

y = -2x + 3

y + 2x = 3

The required equation of line is y + 2x = 3 i.e., this equation best represents the relationship between x and y in the graph.

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Answer:

No

Step-by-step explanation:

We can check with the Pythagorean Theorem.

a^2 + b^2 = c^2

  a and b are always the smaller sides, the legs

  c is the longer side, the hypotenuse

3^2 + 3^2 >  6^2

9 + 9 > 36

18 < 36

18 is not greater than 36, therefore this triangle can not have the side lengths 3, 3, and 6.

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer: $5

Step-by-step explanation:

i = 50 x .10 x 1

i = 5

There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.

Total no. of letters = 11

Millimicron, dissecting will give us the following:

Number of m = 2

Number of i = 3

Number of l = 2

Number of c = 1

Number of n =1

Number of r = 1

Number of o = 1

o compute this by using permutation

total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]

= 39,916,800 ÷ 24

= 1,663,200 is the answer

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Candace is flipping the coin 5 times.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out.

The theoretical probability of flipping tails on any single flip of a fair coin is 1/2, since there are two equally likely outcomes (heads or tails) on each flip.

If Candace is flipping the coin a certain number of times and the theoretical probability of flipping tails on all flips is 1/32, we can set up the equation:

\((1/2)^n\) = 1/32

where n is the number of times Candace is flipping the coin.

We can simplify this equation by taking the logarithm of both sides:

\(log((1/2)^n) = log(1/32)\)

Using the property of logarithms that \(log(a^b) = b*log(a)\), we can rewrite the left-hand side as:

n*log(1/2) = log(1/32)

We can simplify the logarithms using the fact that log(1/a) = -log(a), so:

n*(-log(2)) = -log(32)

Dividing both sides by -log(2), we get:

n = -log(32) / log(2)

Using a calculator, we find:

n ≈ 5

Therefore, Candace is flipping the coin 5 times.

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