Find the distance between (0,6) and (-6,0).

Answer:

I think it is C sorry if it wrong

Step-by-step explanation:

Answer:

I got A

Step-by-step explanation:

It was on Plato

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

Answer:

I was taught like this.

Corresponding has emphasis on the word pond

Fish live in a pond

Therefore, it has to be an angle F

The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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Answer:

x = -7

Step-by-step explanation:

-9x - 8 = 55

Add 8 to both sides

-9x = 63

Divide both sides by -9

x = -7

Answer:

$7.50

Step-by-step explanation:

First, you multiply 3 and $2.50 (because you skate for 3 hours and it's $2.50 per HOUR to skate) 3 x 2.50 is $7.50 plus the flat rate of $5 is $12.50. So, your total altogether would be $12.50. So if you pay that total with $20, you have to subtract 12.50 from 20. 20 - 12.50 is $7.50. Your change will be $7.50. I hope this is correct! So sorry if it isn't!

Answer:

7.5

Step-by-step explanation:

First, you multiply 2.50 x 3. The answer to that is 7.50. Add on the renting skates, that is 12.50. Then, you subtract 12.50 from 20.00. The answer is 7.5.

Answer:

Domain: (-∞, ∞); Range: [1, ∞)

Step-by-step explanation:

Domain is the set/interval of x-values that the function spans while the range is the set or interval of y-values that the function spans.

Domain

We can see that the arrows point towards negative and positive infinity for x and also see there are no holes or asymptotes for this graph. Therefore, the domain is (-∞, ∞) or {x | x is any real number}

Range

We can see that the arrows both point towards infinity for y-values and that the lowest y-value this graph touches is y = 1 (inclusive, meaning this y-value is included in the range). Thus, the range is [1, ∞) or {y | y ≥ 1}

Answer:

How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

x = 3

Step-by-step explanation:

Multiply both sides by 100

2.5 · 100 + 1.5x · 100 = 3.25 · 100 + 1.25x · 100

Refine:

250 + 150x - 250 = 325 + 125x - 250

Simplify:

150x = 125x + 75

Subtract 125x from both sides:

150x - 125x = 125x + 75 - 125x

simplify:

25x = 75

Now all you have to do is Divide both sides by 25:

\(\frac{25x}{25}\) = \(\frac{75}{25}\)

Now Finally the last part Now just Simplify so therefore the answer is

x = 3

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

the answer is 9

Step-by-step explanation:

if you use distributive property you'll find your answer

x = 9

Step-by-step explanation:

3(x+5)-2(x+2)=20

3x +15 - 2x - 4 = 20

3x - 2x = 20 + 4 - 15

x = 24 - 15

x = 9

The given sequence is a geometric sequence and the next three terms are

-4, 2, -1

i.e  32, -16, 8, -4, 2, -1.

So option d is our correct answer.

The given sequence is 32, -16, 8, ...

We need to find what type of sequence is 32, -16, 8,... and calculate the next three terms that satisfy the given sequence.

i.e we need to find the \(4^{th},5^{th}~and~6^{th}~ term~of~the~sequence.\)

It is a sequence in which each term is found by multiplying the preceding term by a constant value 'r' called the common ratio.

Example: 4,8,16,32 where r = 2.

The formula used to find the nth term in a geometric sequence is:

\(a_n = a_1 ~r^{n-1}\)  Where a_1 is the first term of the sequence.

We have the given sequence as 32, -16, 8,......

Find the common ratio.

r = -16 / 32 = -1 / 2r = 8 /-16 = -1 / 2

Here we see that each term is found by multiplying the previous term with a common ratio r = -1/2.

So the given sequence is a geometric sequence.

Here a_1 = 32.

Applying the nth term geometric sequence to find the \(4^{th},5^{th}~and~6^{th}~ term~of~the~sequence.\)

We get,

\(a_4=a_1(\frac{-1}{2})^{4-1}\\\\a_4=32(\frac{-1}{2})^3\\\\a_4 = \frac{-32}{8}\\\\a_4=-4\\\\a_5=a_1(\frac{-1}{2})^{5-1}\\\\a_5=32(\frac{-1}{2})^4\\\\a_5 = \frac{32}{16}\\\\a_5=2\\\\a_6=a_1(\frac{-1}{2})^{6-1}\\\\a_6=32(\frac{-1}{2})^5\\\\a_6 = \frac{-32}{32}\\\\a_6=-1\\\)

We see that the sequence is 32, -16, 8, -4, 2, -1.

The given sequence is a geometric sequence and the next three terms are -4, 2 and -1

i.e 32, -16, 8, -4, 2, -1

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From the diagram, we get that the height we are looking for is h₂*0.914. To compute h₂ we notice that it is equal to the tangent of the depression angle times 31 yds.

Therefore:

Answer: 9.21 meters.

a. The quadratic formula is a general method for solving quadratic equations of the form ax^2 + bx + c = 0. It works for any quadratic equation and provides accurate solutions.

b. Similar to part (a), the quadratic formula is used here because it is a reliable method to solve any quadratic equation. By substituting the values of a, b, and c into the formula, we can find the accurate solutions for the given equation.

To solve the quadratic equations in parts (a) and (b), I will explain the methods used and justify their application.

a) Equation: 2x(x + 1.5) = -1

Method:

Distribute the 2x term on the left-hand side: 2x * x + 2x * 1.5 = -1

Simplifying further, we get: 2x^2 + 3x = -1

Move all terms to one side of the equation to form a quadratic equation:

2x^2 + 3x + 1 = 0

Quadratic Formula:

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

In this case, a = 2, b = 3, and c = 1.

Justification:

The quadratic formula is a general method for solving quadratic equations of the form ax^2 + bx + c = 0. It works for any quadratic equation and provides accurate solutions.

b) Equation: 3x(x + 6) = -10

Method:

Distribute the 3x term on the left-hand side: 3x * x + 3x * 6 = -10

Simplifying further, we get: 3x^2 + 18x = -10

Move all terms to one side of the equation to form a quadratic equation:

3x^2 + 18x + 10 = 0

Quadratic Formula:

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

In this case, a = 3, b = 18, and c = 10.

Justification:

Similar to part (a), the quadratic formula is used here because it is a reliable method to solve any quadratic equation. By substituting the values of a, b, and c into the formula, we can find the accurate solutions for the given equation.

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Answer:1 by the 2

Step-by-step explanation:Good job

Answer:

Step-by-step explanation:

Let function p(x) be the price that is reduced by 15% if the bill is x dollars.

Since the price is not payed in full 100% is reduced by 15% we only pay

100 - 15 = 85 % of the original price.

p(x) = x· (100% - 15 %)  = x· 85% = 0.85 x

The function used to calculate any bill that is reduced by 15% is:

p(x) = 0.85x

x - is the bill before being reduced by the coupon

The equation is -7x+y=0.

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

It demonstrates the equality of the relationship between the printed statements on the left and right.

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign. When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

Hence, The equation is -7x+y=0.

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Answer: (-6,19)

Step-by-step explanation:

Add -4 and -2

then add both y1 and y2

To find the angles shown we need to remember the definition of the tangent function:

In the case for angle x we notice that the opposite leg is 1 and the adjacent leg is 3, plugging this values in the equation above and solving for x we have:

In the case for angle y we notice that the opposite leg is 3 and the adjacent leg is 1, plugging this values in the equation above and solving for y we have:

Therefore, x=18.4° and y=71.6°

the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).

(a) Using the predicates R(x) and H(x) to represent "x is a rabbit" and "x hops" respectively, the English sentence "For every animal in the domain, if it is a rabbit, it hops" can be expressed in terms of quantifiers and logical connectives as:

∀x(R(x) → H(x))

This translates to "For all x in the domain, if x is a rabbit, then x hops."

(b) Similarly, the English sentence "There is at least one animal such that it is a rabbit and it doesn't hop" can be expressed in terms of quantifiers and logical connectives as:

∃x(R(x) ∧ ¬H(x))

This translates to "There exists an x in the domain such that x is a rabbit and it does not hop."

In summary, using the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).

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   The function g(x) is a quadratic function:

 Functions are algebraic expressions that have at least two variables, in order to make their visual representation through a graph and evaluate their behavior.

 This problem deals with linear or quadratic functions, and these differ in the degree of the exponent of the variable:

  1 : linear

  2 : quadratic

  The function:

g(x) = -2x² - 3(x- 2).

g(x) = -2x² - 3x + 6 , we have a quadratic function.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.

Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.

Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).

Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.

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Answer:

A = B (base) x H (height)

A = 55 x 55

A = 3025

The interval is known as a prediction interval when it is created using the estimated regression equation to forecast the mean for all units that satisfy a specific set of supplied criteria.

A prediction Interval is a statistical interval that provides a range of values within which a future observation is likely to fall. It takes into account both the variability of the data and the uncertainty in the estimates of the regression coefficients.

In contrast, a confidence interval is a statistical interval that provides a range of values within which a population parameter is likely to fall. It is used to estimate the true value of a population parameter based on a sample of data.

Therefore, a prediction interval is specific to the individual unit being predicted, while a confidence interval is specific to the population parameter being estimated.

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Answer:

The answer is D

Step-by-step explanation:

If wrong plz correct me if right plz mark brainliest

In summary, the critical value for a hypothesis test with an alpha value of 0.01 will be larger than that for an alpha value of 0.05, because the more stringent alpha level requires stronger evidence to reject the null hypothesis.

The critical value for a hypothesis test is determined by the level of significance, which is typically denoted by alpha (α). An alpha level of 0.05 means that the hypothesis test has a 5% probability of rejecting the null hypothesis when it is actually true. An alpha level of 0.01 means that the hypothesis test has a 1% probability of rejecting the null hypothesis when it is actually true.

The critical value is the threshold value beyond which the test statistic is considered to be significant. As the alpha level decreases, the critical value increases. This is because a smaller alpha level implies a greater level of confidence in the test results, and therefore a more stringent threshold for declaring statistical significance.

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Lenny's total wage is $7000

In this question, Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time.

32 hours of work = $1750

In a certain week, we work 9 hours as over time

For this overtime which he was paid triple time.

1750 * 3 = $5250

So, Lenny's total wage would be,

$1,750 +  $5250 = $7000

Therefore,  Lenny's total wage is $7000

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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