Which is the equation of a line that has a slope of 7 and passes through point (2, -3)? O V= 5X-4 O y= 5x-2 1 y = 3x+2 1 Oy=zX+3​

It will take Vincent 24 number of days to build the cubby house by himself.

Let's assume that Vincent can build the cubby house alone in h days.

From the given information, we know that Nadia takes 12 days to build the cubby house, and when Nadia and Vincent work together, they can finish it in 8 days.

We can use the concept of "work done" to solve this problem. The amount of work done is inversely proportional to the number of days taken.

Nadia's work rate is 1/12 of the cubby house per day, while the combined work rate of Nadia and Vincent is 1/8 of the cubby house per day.

When Nadia and Vincent work together, their combined work rate is the sum of their individual work rates:

1/8 = 1/12 + 1/h

To solve for h, we can rearrange the equation:

1/h = 1/8 - 1/12

1/h = (3 - 2) / 24

1/h = 1/24

Taking the reciprocal of both sides, we find:

h = 24

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The values are as follows:

sin(α + β) = 0

cos(α + β) = -1

tan(α + β) = 0

sec(α + β) = -1

csc(α + β) = undefined

cot(α + β) = undefined

To find the values of sin(α + β), cos(α + β), tan(α + β), sec(α + β), csc(α + β), and cot(α + β), we can use the trigonometric identities and the given information about angles α and β.

In Quadrant II, sin(α) = 3/5. This means that the opposite side of angle α is 3 and the hypotenuse is 5. By using the Pythagorean theorem, we can find the adjacent side of α, which is -4. Therefore, the coordinates of the point on the unit circle representing angle α are (-4/5, 3/5).

In Quadrant III, tan(β) = 3/4. This means that the opposite side of angle β is -3 and the adjacent side is -4. By using the Pythagorean theorem, we can find the hypotenuse of β, which is 5. Therefore, the coordinates of the point on the unit circle representing angle β are (-4/5, -3/5).

Now, let's find the sum of angles α and β. Adding the x-coordinates (-4/5) and the y-coordinates (3/5 and -3/5) of the two points, we get (-8/5, 0). This point lies on the x-axis, which means the y-coordinate is 0. Hence, sin(α + β) is 0/5, which simplifies to 0.

For cos(α + β), we use the Pythagorean identity cos²(θ) + sin²(θ) = 1. Since sin(α + β) = 0, we have cos²(α + β) = 1. Taking the square root, we get cos(α + β) = ±1. However, since the sum of angles α and β falls in Quadrant II and III, where x-values are negative, cos(α + β) = -1.

To find tan(α + β), we use the identity tan(θ) = sin(θ)/cos(θ). Since sin(α + β) = 0 and cos(α + β) = -1, we have tan(α + β) = 0/-1 = 0.

Using the reciprocal identities, we can find the values for sec(α + β), csc(α + β), and cot(α + β).

sec(α + β) = 1/cos(α + β) = 1/(-1) = -1.

Since csc(α + β) = 1/sin(α + β), and sin(α + β) = 0, csc(α + β) is undefined because division by zero is undefined. Similarly, cot(α + β) = 1/tan(α + β) = 1/0, which is also undefined.

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Answer:

should be -1,4

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

\(A=\frac{1}{2}h(b_1 +b_2)\)                [multiply both sides by 2]

\(2A=h(b_1 +b_2)\)                 [divide both sides by b₁+b₂]

\(\frac{2A}{b_1+b_2} =h\)

\(h=\frac{2A}{b_1+b_2}\)

---------------------------------------------------------------------------------------------

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with \(\frac{2A}{h} =b_1+b_2\). To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

Answer: q = -sx

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

A) if sum of four and some number = x + 4

B) if product of some number and 4 = 4x

C) the different between 4 and some number = x - 4

D) if quotient of some number and 4 = x/4

∵therefore D is the answer

Step-by-step explanation:

look at the graph !

there is an explicit horizontal limit line at y = -1.

no such vertical line for a limit for x.

as usual for exponential functions, f(x) grows rapidly, but is still valid for all x of R.

so, D is the right answer.

when x gets more and more to the left, f(x) grows and grows strongly, and goes to infinity.

when x gets more and more to the right, f(x) gets closer and closer to -1 (but will never reach it, only at infinity ...).

Answer:

70

Step-by-step explanation:

The areas meet the  Pythagorean's theorem, with that we conclude that the area of square 3 is 13 square centimeters.

If you look at the shape between the 3 squares, you can see that we have a right triangle.

Then, by Pythagorean's theorem we can conclude that the area of square 2 plus the area of square 3 must be equal to the area of the square 1.

Then we can write:

Area 2 + Area 3 = Area 1.

We know that:

area 1 = 25 cm²

area 2 = 12 cm²

area 3 = x

then we can write:

x + 12cm² = 25cm²

x = 25cm² - 12cm² = 13cm²

So the correct option is D.

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Answer:

see image

Step-by-step explanation:

Answer:

25h + 12

Explanation:

21h -10h + 14h + 16 -9 +5  ( group term )

25h + 12                             ( simplified )

Answer:

\(25h+12\)

Step-by-step explanation:

To do this, we need to combine like terms:

\(21h-10h+14h+16-9+5\)

Combine terms that have "h" with each other.

\(11h+14h+16-9+5\)

\(25h+16-9+5\)

Now, combine the rest of the terms that don't have "h".

\(25h+7+5\)

\(25h+12\)

Answer:

i think its the 2nd and 4th

Step-by-step explanation:

Answer: 4:15

Step-by-step explanation:

divide both by 10

Answer:4:15

Step-by-step explanation:Im just built different tbh bro

Solution:

Probability of the second outcome occurring is 1-p

Explanation:

In an experiment with only two outcomes, the probabilities of both outcomes must add up to 1.

This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.

Therefore, the equation for this situation would be: p + (1-p) = 1Solving for p, we get: p = 1 - (1-p) = 1 - 1 + p = p.

Therefore, the probability of the first outcome occurring is simply p, as given in the question.

The probability of the second outcome occurring is 1-p.

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The probability of the first outcome, p, is equal to the total probability of all outcomes, minus the probability of the second outcome, p2. So, p = 1 - p2.

In an experiment with only two outcomes, the sum of the probabilities of the two outcomes must equal 1. This means that if the first outcome has a probability of p, the second outcome must have a probability of 1-p.

Therefore, the probability of the first outcome, p, can be found by subtracting the probability of the second outcome, p2, from 1:
p = 1 - p2

So, if you know the probability of the second outcome, you can find the probability of the first outcome by subtracting it from 1.

For example, if the probability of the second outcome is 0.3, the probability of the first outcome would be:
p = 1 - 0.3 = 0.7

So the probability of the first outcome is 0.7.

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If baskets B and C are on the same indifference curve and preferences satisfy all four of the basic assumptions in economics, it means that the individual considers both baskets equally preferable and is indifferent between them.

In economics, an indifference curve represents a set of combinations of goods or baskets that provide the same level of utility or satisfaction to an individual. If baskets B and C are on the same indifference curve, it means that the individual derives the same level of satisfaction from both baskets.

The four basic assumptions in economics regarding preferences are completeness, transitivity, more is better, and diminishing marginal rate of substitution. Completeness assumes that individuals can rank any two baskets in terms of preference. Transitivity suggests that if an individual prefers basket A to B and basket B to C, then the individual also prefers basket A to C. The assumption of "more is better" implies that individuals prefer more of a good to less. Diminishing marginal rate of substitution posits that as an individual consumes more of one good, they are willing to give up less of the other good to maintain the same level of satisfaction.

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The complete question is:

Consider the following three market baskets:

Food Clothing

A 6 3

B 8 5

C 5 8

If preferences satisfy all four of the basic assumptions:

A. A is on the same indifference curve as B.

B. B is on the same indifference curve as C.

C. A is preferred to C.

D. B is preferred to A.

E. Both A. and B. are correct.

Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

To determine the number of extraneous solutions in the given equation, let's simplify it step by step:

Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).

Step 2: Apply the common denominator to both fractions:

[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1

Step 3: Simplify the numerators:

\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)

[-12m]/[(2m + 3)(2m - 3)] = 1

Step 4: Cancel out common factors:

-12m = (2m + 3)(2m - 3)

\(-12m = 4m^2 - 9\)

Step 5: Rearrange the equation:

\(4m^2 + 12m - 9 = 0\)

Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

\(m = (-b ± √(b^2 - 4ac))/(2a)\)

For our equation, a = 4, b = 12, and c = -9. Substituting these values:

m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))

m = (-12 ± √(144 + 144))/(8)

m = (-12 ± √288)/8

m = (-12 ± 12√2)/8

Simplifying further:

m = (-3 ± 3√2)/2

So, we have two potential solutions for m:

m = (-3 + 3√2)/2  and  m = (-3 - 3√2)/2

Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:

For m = (-3 + 3√2)/2:

[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1

Simplifying this equation, we find that it holds true.

For m = (-3 - 3√2)/2:

[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1

Simplifying this equation, we also find that it holds true.

Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

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Answer:

disjeghddhuwuyegdgdhhsdd

Answer: 5.75

Step-by-step explanation:

Ignore the half an hour that is intentional it throws you off divide 15.75 by 3 not 3.5 that’ll get you the wrong answer

Answer: 11,244,000

Step-by-step explanation:

From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.

To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:

= 19,650,000 - 8,406,000

= 11,244,000

The H.C.F of the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y) is (x - y)(x + y)

The H.C.F - Highest Common Factor of two or more numbers is the highest of their common factors.

Given the polynomials x⁸ - y⁸, (x⁴ - y⁴)(x + y). To find their highest common factors, we proceed as follows.

Now, the polynomial x⁸ - y⁸ = (x⁴)² - (y⁴)²

= (x⁴ - y⁴)(x⁴ + y⁴) difference of two squares.

Also,

(x⁴ - y⁴) = (x²)² - (y²)²

= (x² - y²)(x² + y²) difference of two squares.

= (x² - y²)(x² + y²)

So,

x⁸ - y⁸ = (x⁴ - y⁴)(x⁴ + y⁴)

= (x² - y²)(x² + y²)(x⁴ + y⁴)

Also,  (x² - y²) = (x - y)(x + y)

So, substituting this into the quation, we have that

x⁸ - y⁸ =  (x² - y²)(x² + y²)(x⁴ + y⁴)

=   (x - y)(x + y)(x² + y²)(x⁴ + y⁴)

Now, the polynomial

(x⁴ - y⁴)(x + y) =  (x² - y²)(x² + y²)(x + y)

= (x - y)(x + y)(x² + y²)(x + y)

So, comparing the factors of x⁸ - y⁸ and (x⁴ - y⁴)(x + y), the H.C.F is (x - y)(x + y)

So, the H.C.F is (x - y)(x + y)

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Answer:

-3

Step-by-step explanation:

-2.5-0.5=3.0

Answer:

3

Step-by-step explanation:

-2.5 - (-0.5) = 3

Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9

(a) The logarithm of 1 to any base is 0 because any number raised to the power of 0 equals 1.
(b) We simplify the expression inside the logarithm by rewriting √8 as 8^(1/2) and applying the logarithmic property of adding logarithms. Simplifying further, since 2^7 equals 128.
(c) The natural logarithm ln(x) is the inverse of the exponential function e^x. Therefore, ln(e^3.7) simply gives us the value of 3.7

(a) \(log₁ 1\): The logarithm of 1 to any base is always 0. This is because any number raised to the power of 0 is equal to 1. Therefore, log₁ 1 = 0.

(b) \(log₂ + log₂ √8 32\): First, simplify the expression inside the logarithm. √8 is equivalent to 8^(1/2), so we have:
\(log₂ + log₂ 8^(1/2) 32\)

Next, apply the logarithmic property that states \(logₐ x + logₐ y = logₐ (x * y):\)
\(log₂ (8^(1/2) * 32)\). Simplify further: log₂ (4 * 32)
log₂ 128
By applying the logarithmic property \(logₐ a^b = b:7\)

Therefore, \(log₂ + log₂ √8 32 = 7\)

(c) \(ln(e^3.7)\): The natural logarithm ln(x) is the inverse function of the exponential function e^x. Therefore, ln(e^x) simply gives us the value of x.

In this case, ln(e^3.7) will give us the value of 3.7.

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.

Answer:

Step-by-step explanation:

-16.51

---------

2.54

-16.51

--------

2.54

1651

------

254

-13

-----

2

Answer: -13

----

2

Answer:

37°

Step-by-step explanation:

angle B = angle D (alternate angle)

2X = 74°

X = 37°

Answer:

29

Step-by-step explanation:

right in acellus

43662 dude. .........ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64