is the point (20,13) on this line?
​

Answer:

x = 2 and y = 3

Step-by-step explanation:

For us to have a parallelogram, the opposite sides must be equal in length

Thus, we have it that;

2y + 2 = y + 5

2y - y = 5-2

y = 3

To get the value of x

y + 4 = 2x + 3

Recall y = 3: substitute this value

3 + 4 = 2x + 3

3+ 4 - 3 = 2x

2x = 4

x = 4/2

x = 2

The relationship between ∠7 and ∠8 are linear pair angles.

Line m and n intersect at point E.

When line intersects angle relationships are formed such as vertically opposite angles, linear angles etc.

Therefore, angles relationships are formed when the line m and line n intersect at point E.

Hence,

∠7 and ∠8 are linear pair angles.

Linear pair of angles are formed when two lines intersect each other at a single point.

Linear pair angles are supplementary.

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The contrapositive of the statement "if x is irrational, then so is 1/x" is proven.

Proof by contrapositive: Suppose that x is not irrational, meaning that x can be written as a fraction of two integers, x = a/b, where a and b are integers and b ≠ 0.

If x can be written as a fraction of two integers, then 1/x can be written as a fraction as well: 1/x = b/a.

Since 1/x can be written as a fraction of two integers, it follows that 1/x is rational.

Therefore, if x is not irrational (i.e. it is rational), then 1/x is also rational.

Thus, the contrapositive of the statement "if x is irrational, then so is 1/x" is proven.

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Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

Given data:

The given fraction is 1242/99.

The given fraction is,

Thus, the result of the fraction is 13.

Answer:

m<Q = 35

m<R = 19

m<S = 126

This is an OBTUSE triangle because there's one obtuse angle

Step-by-step explanation:

4x - 17 + x + 6 + 10x - 4 = 180

15x - 15 = 180

15x = 195

x = 13

<Q:

4x - 17

4(13) - 17

35

<R:

x + 6

13 + 6

19

<S:

10x - 4

10(13) - 4

126

The future value of the growing annuity, to the nearest cent, is R 223,640.78.

In this scenario, regular annual deposits are made into a savings account for fifteen years. The first deposit is R9000, and starting from the second deposit, the amounts are increased by 5% each year. The interest rate earned on the savings account is 6.6% per annum, compounded monthly. We need to calculate the future value of this growing annuity.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity

P = Regular payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, the regular payment (deposit amount) for each year is as follows:

Year 1: R9000

Year 2: R9000 * (1 + 0.05) = R9450

Year 3: R9450 * (1 + 0.05) = R9922.50

We can see that the deposit amount increases by 5% each year.

Now, let's calculate the future value of the annuity using the formula mentioned above.

P = R9000 (first deposit)

r = 0.066 / 12 (monthly interest rate)

n = 15 (number of years * 12, as the interest is compounded monthly)

FV = R9000 * [(1 + 0.066 / 12)^(15*12) - 1] / (0.066 / 12)

Calculating this expression will give us the future value of the growing annuity. Rounding it to the nearest cent, we find that the future value is approximately R 223,640.78.

In summary, the future value of the growing annuity, with regular annual deposits increasing by 5% each year and an interest rate of 6.6% per annum compounded monthly, is R 223,640.78.

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The value of P (factor of 10) is, 1/4.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

There ae 4 cards to select.

Now, In all 4 cards the factor of 10 is, 2

Hence, The probability to be the factor of 10 is,

⇒ 1 / 4

Thus, The value of P (factor of 10) is, 1/4.

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The side AC of the triangle is included between angles A and C.

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Given is a triangle, we need to determine the angles which includes the side AC,

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between ∠A and ∠C.

Hence, the side AC of the triangle is included between angles A and C.

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Could you please provide the statement and the options ?

Answer:

\(1*2^{24}\)=16777216

Step-by-step explanation:

y=C*2^t is the equation for this type of growth

C is starting population and t is time

C=1 and t=24 (1 day= 24 hours)

Solve

We can express the slope of a line as the ratio between the variation in y, in the vertical axis, and the variation in x, in the horizontal axis.

We can use any pair of points in the line to calculate the slope.

If we use the pair of points that form the smaller triangle, we get:

We can also see that the bigger triangle will give a slope of m = 8/4 = 2, an equivalent result as expected.

Then, we can write the slope as 4/2, 8/4 and 2.

The only value that does not correspond to the slope of this line is 1/2.

Answer: 1/2 [Option 3]

The function f(x) = arcsin(\(x^2\)- 2x) is increasing for x > 1. To determine where the function f(x) = arcsin(\(x^2\) - 2x) is increasing, we need to find the intervals where its derivative, f'(x), is positive.

First, find the derivative of the inner function, g(x) = \(x^2\) - 2x:
g'(x) = 2x - 2
Now, find the derivative of the outer function, h(u) = arcsin(u), where u = g(x):
h'(u) = 1/√(1 - \(u^2\))
Using the chain rule, the derivative of f(x) is the product of the derivatives of the inner and outer functions:
f'(x) = h'(g(x)) * g'(x) = (1/√(1 - \((x^2 - 2x)^2)\)) * (2x - 2)
To find where f(x) is increasing, we need to determine where f'(x) > 0. Since the denominator of the fraction is always positive, we only need to focus on the numerator:
2x - 2 > 0
Solving for x, we get:
x > 1

The complete question is:-

Determine where f(x) = arcsin (\(x^{2}\) − 2x) is increasing.

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The formula for the polynomial P(x) is P(x) = (-7.2 / 9,847,679,684,888,875,731,776)(x - 3)^22(x + 2)^11

To find a formula for the polynomial P(x), we can start by using the given information about the roots and the y-intercept.

First, we know that the polynomial has a root of multiplicity 22 at x = 3. This means that the factor (x - 3) appears 22 times in the polynomial.

Next, we have a root of multiplicity 11 at x = -2. This means that the factor (x + 2) appears 11 times in the polynomial.

To determine the overall form of the polynomial, we need to consider the highest power of x. Since we have a polynomial of degree 33, the highest power of x must be x^33.

Now, let's set up the polynomial using these factors and the y-intercept:

P(x) = k(x - 3)^22(x + 2)^11

To determine the value of k, we can use the given y-intercept. When x = 0, the polynomial evaluates to y = -7.2:

-7.2 = k(0 - 3)^22(0 + 2)^11

-7.2 = k(-3)^22(2)^11

-7.2 = k(3^22)(2^11)

Simplifying the expression on the right side:

-7.2 = k(3^22)(2^11)

-7.2 = k(9,847,679,684,888,875,731,776)

Solving for k, we find:

k = -7.2 / (9,847,679,684,888,875,731,776)

Therefore, the formula for the polynomial P(x) is:

P(x) = (-7.2 / 9,847,679,684,888,875,731,776)(x - 3)^22(x + 2)^11

Note: The specific numerical value of k may vary depending on the accuracy of the given y-intercept and the precision used in calculations.

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False like a trapizoid they will touch sides a square wont but diagonal will square will I smart respectt

me

The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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A normal probability distribution is a good approximation for a discrete binomial distribution when both np and nq are greater than or equal to 5. The normal distribution is not a reasonable approximation for the binomial distribution with n=40 and p=0.8. The mean of the binomial distribution is approximated by np when a normal distribution is a reasonable approximation.

The main condition for a normal probability distribution to be a good approximation for a discrete binomial distribution is when both np and nq are greater than or equal to 5. This condition ensures that the binomial distribution is not too skewed or heavily concentrated at the extremes. When np and nq are both sufficiently large, the distribution becomes more symmetric, resembling a bell-shaped curve similar to the normal distribution.

The binomial distribution for which the normal distribution is not a reasonable approximation is option d (n=40, p=0.8). In order for the normal distribution to be a good approximation for a binomial distribution, both np and nq should be greater than or equal to 5. However, in this case, np = 40 * 0.8 = 32 and nq = 40 * (1 - 0.8) = 8, so nq is not greater than 5. Therefore, the normal distribution is not a suitable approximation for this particular binomial distribution.

When a normal distribution is a reasonable approximation for a binomial distribution, the mean (μ) of the normal distribution is approximated by np, where n is the number of trials and p is the probability of success in each trial. This approximation holds when np and nq are both greater than or equal to 5.

When a normal distribution is a reasonable approximation for a binomial distribution, the standard deviation (σ) of the normal distribution is approximated by √(npq), where n is the number of trials, p is the probability of success in each trial, and q is the probability of failure (1 - p). This approximation holds when np and nq are both greater than or equal to 5.

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There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria. Hence, in total after 3 hours, we have 27 bacteria.

Bacteria are ubiquitous, largely free-living creatures that frequently only have one biological cell. They make up a significant portion of the prokaryotic microbial kingdom. Bacteria, which tend to be a few micrometres long and were among the initial organisms that appeared on Earth, are found in the majority of its habitats.

n = the number of bacteria at a given hour

at zero hour=1 bacteria.

1 bacteria after an hour is split in to 3 bacteria.

n(1)  = 3

n(2)  = 3 x 3  = 9 bacteria

n(3)  = 9 x 3  = 27 bacteria

Hence, in total after 3 hours, we have 27 bacteria

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Answer: its 12 and 8 10 12 14 16 either of those

Step-by-step explanation:

Answer:

The ratio of original area to enlarged area is 1/4.

Step-by-step explanation:

Area of original circular garden is

\(\pi {( \frac{d}{2} )}^{2} = \pi \frac{ {d}^{2} }{4} \)

Area of enlarged circular garden is

\(\pi ( { \frac{2d}{2}) }^{2} = \pi {d}^{2} \)

So the ratio of original area to enlarged area is 1/4.

Answer:

Step-by-step explanation:

X = 152 -90 = 62 degree

The terms are "organize, simplify, and summarize data" and "use sample data to reach general conclusions about populations."

Based on these terms, the first term refers to data visualization techniques such as charts, graphs, and infographics. These visual representations help to organize, simplify, and summarize data, making it easier to understand and interpret. On the other hand, the second term refers to statistical inference.

Statistical inference involves using sample data to draw conclusions or make predictions about larger populations. By analyzing a subset of data (sample), we can make generalizations or inferences about the entire population.

This is a common practice in various fields, including market research, social sciences, and public health. Overall, data visualization techniques help us understand data, while statistical inference allows us to make broader conclusions based on sample data.

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Answer:

y=-x-11

Step-by-step explanation:

Answer:

7 2/15

Step-by-step explanation:

Second option

Answer:

7 2/15.

Step-by-step explanation:

First in order to subtract you have to find the LCM/ least common multiple which is 15 as 5x3 = 15 and 3×5= 15, and so then with the new denominator being 15 you have to solve for the numerator, and so 3 goes into 15 5 times and 2x5= 10 and 5 goes into 15 3 times, so 4x3 = 12. So then you are left with 16 12/15 - 9 10/15 which will then be 7 2/15.

Answer:

Number of goals to convert in game 5= 3 goals

Step-by-step explanation:

Giving the following information:

A soccer player's average during her first two seasons was 1.4 goals per game.

First, we need to determine the number of goals converted:

Goal games 1-4= 4

Now, the number of goals she must have at five games and by the difference the number of goals to convert:

Number of goals for five games= 1.4*5= 7

Number of goals to convert= 7 - 4= 3 goals

Answer:

20 is the answer :))))

20

Answer:

She can find the percentage of each fraction of the spinner and make sure they are all equal to one another.

1/4 is 1 = 25%

1/4 is 2 = 25%

1/4 is 3 = 25%

1/4 is 4 = 25%

they are all equal so it is fair