A system of equations is shown.


y = –5x – 2
y = 3x – 4
What is the solution to the system of equations?
A.
(
1
4
,
−
3
1
4
)

B.
(
1
4
,
−
3
4
)

C.
(
4
,
−
22
)

D.
(
4
,
8
)

Answer:

alam nio ba filipino talaga ako hahahah

The confidence interval methods for the mean are robust against departures from​ normality, meaning they work well with distributions that​ aren't normal, provided that departures from normality are not too extreme.

A confidence interval for a mean is a range of values that is likely to contain a population mean with a certain level of confidence.

We use the following formula to calculate a confidence interval for a mean:

Confidence Interval = x  +/-  z*(s/√n)

where:

x: sample mean

z: the chosen z-value

s: sample standard deviation

n: sample size

They work well with distributions that​ aren't normal, provided that departures from normality are not too extreme.

This means that the methods of this section are not robust against poor sampling method.

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9514 1404 393

Answer:

  angles: ∠J≅∠P, ∠K≅∠M, ∠L≅∠N

  sides: JK ~ PM, KL ~ MN, LJ ~ NP

Step-by-step explanation:

The similarity statement lists corresponding parts in the same order. For example, the first letter of one triangle designator corresponds to the first letter of the other triangle designator.

It is easy to list corresponding angles. Simply list them in the same order as they show up in the similarity statement.

  angles: ∠J≅∠P, ∠K≅∠M, ∠L≅∠N

__

Likewise, corresponding segments are those between corresponding vertices. If a segment uses letter designations 2 and 3 in one triangle (KL), it will use letter designations 2 and 3 in the other triangle (MN).

  sides: JK ~ PM, KL ~ MN, LJ ~ NP

_____

Additional comment

I sometimes find it easier to list the vertices vertically. Then I can see the correspondence more directly.

  J . . P

  K . . M

  L . . N

Answer:

D. 66

Step-by-step explanation:

If there are 12 apple trees per acre, and there are 792 apple trees in total, then the number of acres in Appleland is given by:

792 apple trees / 12 apple trees per acre = 66 acres

Therefore, the answer is d. 66.

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answer:

u = 5

Step-by-step explanation:

u/5 - 7 = - 6 -- add 7 to both sides.

u/5 = 1 -- clear the fraction by multiplying 5 to both sides.

u = 5

Answer:

3x - 2 = 4(2x-8)

3x- 2 = 8x- 32

3x-8x = -32+2

-5x = -30

x = -30/-5

x = 6

Answer:

a² - b² = (a+b)(a-b)

Step-by-step explanation:

= 2x² - 7x²

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

Answer:

-5x²

Step-by-step explanation:

combine like terms in 2x²-7x²

The average time a molecule spends in its reservoir is known as the residence time.

Residence time is an important concept in environmental science, particularly in the study of water quality and pollution. It refers to the average amount of time that a substance, such as a molecule or a pollutant, spends in a particular environment before it is either removed or transformed. For example, in a river, the residence time of a pollutant would be the amount of time it takes for that pollutant to be either broken down by natural processes or transported downstream to another location. By understanding residence time, scientists can better predict how pollutants will move through the environment and where they are likely to accumulate.

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Answer:

a = 1080/7 or 154.2857143

Step-by-step explanation:

180 = a + (1/6)a

180 = (7/6) a

a = 180/(7/6)

a = 1080/7

or 154.2857143

Answer:

a = 150

Step-by-step explanation:

A straight angle measures 180°.

The measures of the smaller and larger angles add to 180°.

The smaller angle measures 1/6 of 180°.

The measure of the smaller angle is 1/6 × 180° = 180°/6 = 30°

We are told the larger angle measures a.

a + 30° = 180°

a = 150°

Answer: a = 150

The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.

To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.

Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.

The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.

In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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To determine if S is not a basis for P2, we must check if the set of polynomials is linearly independent and spans the vector space P2. The vector space P2 consists of all polynomials with a degree less than or equal to 2.

S = {1 - x, 1 - x^2, -1 - 8x + 9x^2}

To check if these polynomials are linearly independent, we can set up the following linear combination equation:

a(1 - x) + b(1 - x^2) + c(-1 - 8x + 9x^2) = 0

Expanding and grouping terms, we get:

(a + b - c) + (-a - 8c)x + (-b + 9c)x^2 = 0

For this linear combination to be the zero polynomial, the coefficients must be zero:

a + b - c = 0
-a - 8c = 0
-b + 9c = 0

Solving this system of equations, we get a non-trivial solution (a = 8, b = 72, c = 1), which means that the set of polynomials is linearly dependent. As a result, S is not a basis for P2.

S is not a basis for P2 because it does not satisfy the basis requirement of linear independence. To be a basis for P2, a set of vectors must be linearly independent, meaning that no vector can be expressed as a linear combination of the others. However, in S, the third vector (-1 - 8x + 9x^2) can be expressed as a linear combination of the first two vectors (1 - x and 1 - x^2), specifically (-1 - 8x + 9x^2) = -(1 - x) - (1 - x^2). Therefore, S is not a basis for P2.

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Answer:

Choice A

Step-by-step explanation:

Answer:

A. Add 13 + 10, and keep the negative sign from - 13.

- 13 + 10

10 - 13 = - 3

Answer:

Collect like terms

-x-x=6-4

Solve

-2x=2, -x=1 or x=-1

Step-by-step explanation:

I hope this helps, please give me brainliest

Answer: 2x−3y=−9

Step-by-step explanation:

Answer:

The larger dog gets more peanut butter flavor.

Step-by-step explanation:

For the large dog, there is 1 ounce of peanut butter for every 3 ounces of food. For the small dog, there is 1 ounce of peanut butter for 5 ounces of food. Therefore, the big doggo gets more peanut butter.

Answer:

startling

Step by step:

remove the l, and the word becomes: starting

remove one t, and the word becomes: staring

remove the a, and the word becomes: string

remove the r, and the word becomes: sting

remove the other t, and the word becomes: sing

remove the g, and the word becomes: sin

remove the s, and the word becomes: in

remove the n, and the word becomes: I

Angle 1 = A

Angle 2 = B

They are supplementary, that means that they add 180 degrees, then: A + B = 180

One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B

Equation 1: A + B = 180

Equation 2: A - 12 = 3B

Solving for A in equation 1:

A + B = 180

A = 180 - B

Using this value into equation 2, and solving for B:

A - 12 = 3B

(180 - B) - 12 = 3B

180 - B - 12 = 3B

168 = 3B + B = 4B

4B = 168

B = 168/4 = 42

B = 42

Using the expression we found for A:

A = 180 - B = 180 - 42 = 138

A = 138

Answer

42 degrees and 138 degrees

Answer:

√[(5-1)² + (5-5)²]

√[16+0]

√(16)

+4 or -4 units

I hope this helped :D

Step-by-step explanation: for your other question

((

−

4

,

7

)

(

−

4

,

5

)

Answer:

4

Step-by-step explanation:

The formula for the general term of the sequence is: an= (\frac{-2}{3}) ^{n-1}

To find the formula for the general term an of the sequence, we can observe that each term is the previous term multiplied by \(\frac{-2}{3}\). Therefore, we can write:

\(an= a(n-1) \frac{-2}{3}\)

where a(n-1) represents the previous term in the sequence. We also know that the first term is 1, so we can use this to recursively calculate the rest of the terms. For example:

\(a_{2}= a_{1} (\frac{-2}{3} )\)

\(= 1(\frac{-2}{3})\)

\(= \frac{-2}{3}\)

\(a_{3}= a_{2} (\frac{-2}{3} )\)
\(= \frac{-2}{3} (\frac{-2}{3})\)

\(= \frac{4}{9}\)

\(a_{4}= a_{3} (\frac{-2}{3} )\)

\(= \frac{4}{9} (\frac{-2}{3})\)

\(= \frac{-8}{27}\)

Therefore, the formula for the general term of the sequence is:
\(an= (\frac{-2}{3}) ^{n-1}\)

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Answer

• a) Range: (-∞, –1)

• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.

• c) When x decreases, it approaches –3, and when x increases, it approaches –1.

Explanation

• Part A: Graph the piecewise function f (x) and determine the range.

Using a graphing tool we can get the following graph:

As the range is all the y-values included in the function, we can see that in this case, the range is:

• Part B: Determine the asymptotes of f (x). Show all necessary calculations.

We have to get the asymptotes from the part where x ≤ 2 and x > 2.

In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:

Thus, in our case y = –3.

In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:

If we solve the expression by factoring we get two solutions:

Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:

Thus, our horizontal asymptote is y = –1 when x > 2.

• Part C: Describe the end behavior of f (x).

The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.

Steve spent 2/3 of $15, to find how much this 2/3 of $15 is, we have to multiply $15 by 2/3, as follows:

Therefore, we have found that Steve already spent $10 .

Answer:

2215

Step-by-step expla1st off wrRCWCvvcvvv

Answer:

1: Neither

2: Parallel

3: Perpendicular

4: Neither? (Not sure on this one)

The image of the circle C under the inversion f is a circle with centre at: P = (31/d, 8/d) and radius:

\(r = |961 + 64d^2 - d^4| / d^3\) the image of C is also inside S, since all inverses lie inside S.

To find the image of the circle C under the inversion f, we need to first determine the inverse of each point on C with

respect to the circle S.

Let (x, y) be a point on C. The distance between (x, y) and the centre of S is given by:

\(d = √[(x-0)^2 + (y-0)^2] = √(x^2 + y^2)\)

The inverse of (x, y) with respect to S is then given by:

\((x', y') = (x/d^2, y/d^2)\)

That since (x, y) lies outside of S, we have d > 1, so (x', y') lies inside S.

Next, we need to find the image of (x', y') under the inversion f. Using the same formula as above, we have:

\(d' = √[(x'-0)^2 + (y'-0)^2] = √(x'^2 + y'^2) = 1/d\)

The inverse of (x', y') with respect to S is then given by:

\((x'', y'') = (x'/d'^2, y'/d'^2) = (dx^2, dy^2)\)

Note that (x'', y'') lies on the line passing through the origin and (x', y'). This line intersects S at a point P, which is the

image of (x, y) under the inversion f.

Therefore, the image of the circle C under f is another circle with centre at P and radius equal to the distance between

(x'', y'') and P, which is given by:

\(r = |d^2 - 1| / d\)

Substituting in the values of x and y, we get:

\(r = |(31/d)^2 + (8/d)^2 - 1| / d\)

Simplifying, we get:

\(r = |961 + 64d^2 - d^4| / d^3\)

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Answer:

Not a function

Step-by-step explanation:

For 0 in the domain (input), there are two possible values in the output (range). This goes against the definition of a function, where every element in the domain must have only one value in the range.

Hope this helps!

Answer: 16 weeks rounded up.

Step-by-step explanation: If you have to pay for half of the trip. And you make $7.35/hr. And you work 16 hours per week.

$3692/2 = $1846

$1846/$7.35 per hour = 251.16 hours

251.16 hours/16 hours per week = 15.6975 weeks

aaaaaaaawwaaaaaaaaaaaaaaaa

Step-by-step explanation:

-6x-7(4+3x)

=-6x-7×4+3x

=-6x-28+3x

=-6x+3x-28

=3x-28.

Answer:-27x-28

Step-by-step explanation:

-6x-28-21x

-6x-21x-28

-27x-28

Answer:

The original length of the new candle is 10 inches

Step-by-step explanation:

The form of the linear function is y = m x + b, where

∵ L represents the length of the candle remeaning unburned in inches

∵ t represents the time after the candle was lit in hours

∵ The relationship between L and t is linear

→ Put it in the form of the equation above

∴ L = m t + b, where b is the original length of the new candle

→ Use the table to find m

∵ m = \(\frac{L2-L1}{t2-t1}\)

∵ (1, 9) and (6, 4) are two points in the given table

∴ t1 = 1 and L1 = 9

∴ t2 = 6 and L2 = 4

→ Substitute them in the rule of m above

∵ m = \(\frac{4-9}{6-1}\) = \(\frac{-5}{5}\) = -1

∴ m = -1

→ Substitute it in the equation above

∵ L = -1(t) + b

∴ L = -t + b

→ To find b substitute t by 1 and L by 9

∵ 9 = -(1) + b

∴ 9 = -1 + b

→ Add 1 to both sides

∵ 9 + 1 = -1 + 1 + b

∴ 10 = b

∵ b is the original length of the new candle

∴ The original length of the new candle is 10 inches