WILL CHOOSE BRAINLIEST Use the slope to determine if lines PQ and RS are parallel, perpendicular, or neither.

Answer:

Sally has 1 muffin on the counter and she finds another muffin in the oven and she adds up how many muffins she has and she gets 2

Step-by-step explanation:

Hope this helped you if it did please mark brainliest

Answer:

1 + 1 = 2

Explanation:

Take a quick look at an addition chart, and you'll see that 1 + 1 = 2. Why is this? This is because when you add one and one you get two.

Answer:

To create a matrix for this linear system, we can arrange the coefficients of the variables and the constants into a matrix as follows:

| 1 3 2 | | x | | 26 |

| 1 -3 4 | x | y | = | 2 |

| 2 1 1 | | z | | 8 |

To solve the system using row reduction, we can perform elementary row operations to transform the matrix into row echelon form or reduced row echelon form. I will use the latter approach for simplicity:

| 1 0 0 | | x | | 6 |

| 0 1 0 | x | y | = | 5 |

| 0 0 1 | | z | | -1 |

Therefore, the solution to the system is x = 6, y = 5, and z = -1.

Answer:

Step-by-step explanation:

not sure 2

Answer: w = 13 m, L = 19.5 m

Step-by-step explanation:

P = 3w + 2L

     3w + 2L = 78

              2L = 78 - 3w

                \(L=\dfrac{78-3w}{2}\)

A = w · L

\(A=w\bigg(\dfrac{78-3w}{2}\bigg)\\\\\\A=\bigg(\dfrac{78w-3w^2}{2}\bigg)\\\\\\A=39w-\dfrac{3}{2}w^2\\\\\\0=-\dfrac{3}{2}w^2+39w-A\)

    a=-3/2   b=39

\(\text{Axis of Symmetry}:w=\dfrac{-b}{2a}=\dfrac{-39}{2(-\frac{3}{2})}=\dfrac{-39}{-3}=\large\boxed{13}\)

\(\text{Maximum}:L=\dfrac{78-3w}{2}=\dfrac{78-3(13)}{2}=\dfrac{78-39}{2}=\dfrac{39}{2}=\large\boxed{19.5}\)

Using Pythagorean theorem, the horizontal distance is 25.4 inches

The Pythagorean theorem is a mathematical theorem that states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is usually expressed mathematically as:

c^2 = a^2 + b^2

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Substituting the values into the formula;

29² = 14² + x²

x² = 29² - 14²

x² = 645

x = √645

x = 25.4 inches

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Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

When y is negative, there is always decrease.

Answer:

Please check the formatting when posting.  I'm assuming these are the equations:

y=x^2 - 2

y=−x

Step-by-step explanation:

We can either graph the equations or solve them.  I use graphing - see the attachment.  The lines intersect at (-2, 2) and (1,-1)

1.  Graphing

See attached graph

(-2, 2) and (1,-1) are the intersection points

2.  Solving

y=x^2 - 2  Use y=−x in this equation:

-x = x^2 - 2

0 = x^2 + x - 2

0 = (x+2)(x-1)

x = -2 and +1

(-2, 2) and (1,-1) are the intersection points

The answer is 201.17

Answer:

The period of this graph is 7.

Answer:

y - 1 = 1/2(x -5)

Just took the test, hope this helps!

Answer:

above is correct the letter answer is C on edg2020

Step-by-step explanation:

edg2020

The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.

Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.

The conditional probability of A given B, denoted as P(A|B), is calculated as follows:

P(A|B) = P(A and B) / P(B)

First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.

Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.

P(B) = P(3) + P(4) + P(5)

Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).

Finally, we can substitute the values into the formula for conditional probability:

P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1

Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.

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The volume of the parallelepiped with given adjacent edges pq, pr, and ps is equal to 102 cubic units.

To find the volume of the parallelepiped with adjacent edges pq, pr, and ps,

Use the scalar triple product.

The volume of the parallelepiped formed by three vectors can be calculated as the absolute value of their scalar triple product.

Let's denote the vectors formed by the adjacent edges as,

pq = q - p

    = (-4 - 1, 1 - 0, 8 - 2)

    = (-5, 1, 6)

pr = r - p

    = (4 - 1, 3 - 0, 0 - 2)

    = (3, 3, -2)

ps = s - p

    = (-1 - 1, 4 - 0, 5 - 2)

    = (-2, 4, 3)

Now, let's calculate the scalar triple product,

V = |pq · (pr × ps)|

where pr × ps denotes the cross product of vectors pr and ps.

pr × ps = (3, 3, -2) × (-2, 4, 3)

= (18 - 12, -6 - 6, 12 + 12)

= (6, -12, 24)

Now, let's calculate the dot product of pq and the cross product of pr and ps,

pq · (pr × ps) = (-5, 1, 6) · (6, -12, 24)

= -56 + 1(-12) + 6(24)

= -30 - 12 + 144

= 102

Finally, let's calculate the absolute value of the scalar triple product,

V = |pq · (pr × ps)|

= |102|

= 102

Therefore, the volume of the parallelepiped with adjacent edges pq, pr, and ps is 102 cubic units.

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Answer:

y=-4x/5-3

Step-by-step explanation:

The capacity of one vessel to hold candle wax in circular shaped cylinder is 23.3 cubic inches.

The volume of circular cylinder is given by the formula -

Volume = πr²h, where r refers to radius and h represents height of the cylinder.

The width will be diameter. So, radius = 2.5/2

Radius = 1.25 inches

Keep the values in formula to find the value of volume.

Volume = 3.14 × 1.25² × 4.75

Performing multiplication on Right Hand Side of the equation

Volume = 23.3 inches³

Thus, the vessel can hold 23.3 cubic inches of candle wax.

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Answer:

$9.74

Step-by-step explanation:

Add them..

The expression 24 - 2x is suitable for the length of the garden as it accounts for the width and represents the remaining length of fencing available for the garden.

To enclose a rectangular garden, three sides need to be fenced, while one side is already adjacent to Mr. Picasso's house. The remaining three sides will consist of two equal lengths for the width and one length for the length of the garden.

Since the total length of fencing available is 24 ft, the width requires two equal sides, each of length x ft, which amounts to 2x ft. Subtracting this width from the total length of fencing gives us 24 - 2x ft, which represents the remaining length available for the length of the garden.

Therefore, 24 - 2x is an appropriate expression for the length of the garden as it takes into account the already utilized length for the width and represents the remaining length available for the garden's length.

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Answer:

4g

Step-by-step explanation:

If x² - 8 = x² substracting x² on both side then k = -8. This indicates that to obtain g, we must shift f 8 units down.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

Let the two functions be f(x) = x² and g(x) = x² - 8.

We know that g exists obtained by shifting f, k units up or down (depending of the value of k, if positive, the shifting is up, or down otherwise). At any point x, we get g(x) by adding k units to the value of f(x). That is

g(x) = f(x) + k

If we replace the meaning of f, g we get

x² - 8 = x²

By substracting x² on both side we get

x² - 8 - x² = x² - x²

k = -8.

This indicates that to obtain g, we must shift f 8 units down.

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Answer: The internal rate of return of this investment is 15.1%. The correct option is D.

Explanation:

Internal rate of return (IRR) is the discount rate that makes the net present value (NPV) of an investment zero. In other words, it is the rate at which the sum of all future cash flows (positive and negative) from an investment equals its initial cost. The IRR is also referred to as the discounted cash flow rate of return.

The formula for calculating IRR is:

Where: NPV = net present value

CFt = the cash flow in period t

r = the discount rate Project X has an initial investment cost of $20.0 million, an annual operating cost of $1.8 million, an annual revenue of $5.5 million, and a salvage value of $2.0 million after ten years.

Therefore, the total revenue over ten years will be:

Revenue = $5.5 million x 10 years = $55 million.

The total cost over ten years will be:

Cost = ($1.8 million + $20 million) x 10 years = $198 million.

The net cash flow (NCF) over ten years is:

NCF = Revenue – Cost + Salvage Value

= $55 million – $198 million + $2 million = -$141 million.

To calculate the IRR, we need to find the discount rate that makes the NPV of the investment equal to zero.

We can do this using a financial calculator or spreadsheet software. However, we can also use trial and error by trying different discount rates until we get an NPV close to zero.

Using this method, we find that the IRR of Project X is approximately 15.1%, which is closest to option D.  

Therefore, the correct option is D. 15.1%.

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Answer:

6y=12x+18

Step-by-step explanation:

Y=Mx+b

Answer:

-7

Step-by-step explanation:

-10÷5= -2

-2+-5= -7

So Answer is (-7)

Slove the Parenthesis ( ) and then when you get the Answer slove it with what is on the outside and then you will have your Answer.

Hope this helps

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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Answer:

(x+2y)(x−4y)

hope this helps!

The area of triangle JHK is 4.18 units²

A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;

The right triangle, the isosceles , equilateral triangle e.t.c.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a triangle is expressed as;

A = 1/2bh

where b is the base and h is the height.

The base = 2.2

height = 3.8

A = 1/2 × 3.8 × 2.2

A = 8.36/2

A = 4.18 units²

Therefore the area of triangle JHK is 4.18 units²

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Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11