After the first three games of the season Rico had exactly 3 times the total number of running yards that ED has how many more total running yards did Rico have an ED after the first three games of the season

The scalar λ that makes v and w + λv orthogonal is λ = -1/2.

To find the scalar λ such that v and w + λv are orthogonal, we can use the property that orthogonal vectors have a dot product of zero.

Let's calculate the dot product of v and w + λv:

⟨v, w + λv⟩ = ⟨v, w⟩ + λ⟨v, v⟩

That ⟨v, v⟩ = 2 and ⟨v, w⟩ = 1, we can substitute these values into the equation:

⟨v, w + λv⟩ = 1 + λ(2)

For the vectors to be orthogonal, the dot product must be zero:

1 + 2λ = 0

Solving for λ:

2λ = -1

λ = -1/2

Therefore, the scalar λ that makes v and w + λv orthogonal is λ = -1/2.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

Angle 1 = 88 degrees

Angle 2 = 42 degrees

Angle 3 = 113 degrees

Step-by-step explanation:

Angle 2 is a vertical angle to the angle whose measure is 42 degrees. Therefore, they are congruent. (Angle 2 = 42 degrees)

The Interior Angle Sum states that the sum of all the angles inside of a triangle always add up to 180 degrees.

180- (50+42)

180-92

Angle 1 = 88 degrees

180- (42+25)

180-67

Angle 3 = 113 degrees

Hope this helps. Have a nice day you amazing bean child.

Answer:

All my answers and work is in the screenshot! :)

Step-by-step explanation:

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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-4.5 12.6 is the answer i think

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

The minimum volume of the box is 48 feet³.

The volume of the empty space that needs to be filled with packing peanuts to protect the model is 32 feet³.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.

Given:

Pyramid base= 4 cm, height= 4 cm

So, Volume of pyramid

= a²h/3

= 16 x 3 /3

= 16 feet³

and, Volume of Cuboidal box

= lbh

= 4 x 4 x 3

= 16 x 3

= 48 feet³

So, Volume of empty space in box

= 48- 16

= 32 feet³

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Answer:

Explanation: We have been given a fraction 7/8 and we need to divide it by 6 and write it in simplest terms.

Dividing and simplifying gives us following:

Answer:

can you tell me please

Step-by-step explanation:

nicest

The number of possibilities in a lottery where they pick three balls out of an urn with 10 balls numbered 1 to 10 is calculated using the concept of combinations. A combination is a way to select items from a larger set, where the order of the items doesn't matter.

In this case, the total number of items in the set is 10, and we need to select 3 items. The formula for the number of combinations of "n" items taken "k" at a time is given by:

C(n, k) = n! / (k! (n-k)!)

Where "n!" means "n factorial," which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Using this formula, we can calculate the number of combinations of 3 items taken from a set of 10:

C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = (10 x 9 x 8) / (3 x 2 x 1) = 120

So, there are 120 possible combinations of 3 balls that can be selected from an urn with 10 balls numbered 1 to 10. This means that there are 120 different ways that the three balls could be drawn, and each one is equally likely.

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Answer:

$648.

Step-by-step explanation:

$400+50% = $600

$600+8%=$648

Answer:

13? That would be x. ^^ Have a great day

\(\bold{x-8=5}\)

\(\bold{Add\by\ 8\ to \ both\ sides}\)

\(\bold{x-8+8=5+8}\)

\(\bold{CANCEL\ out: -8+8\ because\ it\ gives\ you\ 0}\)

\(\bold{KEEP: 5+8\ because\ it\ gives\ you\ the\ value\ x}\)

\(\bold{New\ equation: 5+8=x}\)

\(\bold{5+8=13}\)

\(\boxed{\boxed{\bold{Answer: \boxed{\bold{x=13}}}}}\huge\checkmark\)

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66

Answer:

  -11x² +14x -11

Step-by-step explanation:

When one polynomial is subtracted from another, each of the terms of the subtrahend is subtracted from the corresponding term of the minuend.

  (-2x² +4x -10) -(9x² -10x +1)

  = (-2 -9)x² +(4 -(-10))x +(-10 -1)

  = -11x² +14x -11

To find how many picture are in the yearbook, multiply the number of pages of the yearbook by the number of pictures on one page. This is 32 times 8:

There are 256 picture in the yearbook.

The boat's actual speed and direction can be found using  the vector addition. Since the boat is moving due east and the current is moving due north, the two velocities are perpendicular to each other. We can use the Pythagorean theorem to find the boat's  the actual speed:

actual speed = √(35^2 + 8^2) = √1249 ≈ 35.3 mi/h

To find the direction of the boat's velocity, we can use the inverse tangent function:

direction = arctan(8/35) ≈ 12.2° N of E

Therefore, the boat's actual speed is approximately 35.3 mi/h and its direction is approximately 12.2° N of E.

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Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

\(a_{n}\) = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.

The correct option is B.

The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.

Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is  x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.

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Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \(\sf \boxed{\bf \angle 1 = 52^ \°}\)

AB // CD and AC is transversal.

 \(\sf \boxed{\bf \angle 3 = 38^\circ}\)   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \(\sf \boxed{\bf \angle 2 = 79^ \°}\)

Answer:Other than using a calculator to get an approximate value (

5.83

) for  

√

34

,  

√

34

can not be simplified

Step-by-step explanation:The only factors (

>

1

) of  

34

are  

2

and  

17

Since neither of these are a square,  

√

34

has no simplification.

Answer:

57.77% out of 100

john's father would pick pink because pink is in less number

Answer:

25%

Step-by-step explanation:

20 divided by 8 times 100 take away the zero

percentage = part/whole x 100

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

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Answer:

Negative

Step-by-step explanation:

It just is....

Answer:

negative

Step-by-step explanation:

negative something(a) subtract by a positive(b) is still negative

Answer: True

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

True

Step-by-step explanation:

Using the vertical line test since it only passes through the graph once it is a function

Answer:

This isn't going to be a circle even if we choose k to be -5.

I think there has to be an error in the question.

Step-by-step explanation:

We want the coefficient of x^2 and y^2 to be the same so we will want to solve:

k-5=2k

Subtract k on both sides:

-5=k

You should verify it will give a circle.

(k – 5)x²+ 2ky²-5x + 6y – 3 = 0 with k=-5:

(-5– 5)x²+ 2*-5y²-5x + 6y – 3 = 0

-10x²+ -10y²-5x + 6y – 3 = 0

Add 3 on both sides:

-10x²+ -10y²-5x + 6y = 3

Divide both sides by -10:

x²+ y²+5/10x -6/10y = -3/10

Gather the x's together and gather the y's together:

x²+5/10x+y²-6/10y = -3/10

We will begin to take steps to complete square for each the x part and the y part.

For each v^2+kv, add (k/2)^2 with goal to write as (x+k/2)^2. Remember whatever you do to one side you must do to the other.

x²+5/10x+(5/[2×10])^2+y²-6/10y+(-6/[2×10])^2 = -3/10+(5/[2×10])^2+(-6/[2×10])^2

Since radius square is not positive we can stop here. The radius has to be a real number after all. If you aren't convinced you can continue to write in center-radius form.

(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100

(x+1/4)²+(y-3/10)² = -3/10+1/16+9/100

(x+1/4)²+(y-3/10)² = -59/400

Thus answer is ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

To verify if two functions u(x) and v(x) are orthogonal on the interval [−1,1], we need to check if their inner product over that interval is zero. The inner product of two functions u(x) and v(x) is given by:

⟨u,v⟩ = ∫[−1,1] u(x)v(x) dx

Let's calculate the inner product and check if it equals zero:

∫[−1,1] u(x)v(x) dx = ∫[−1,1] (x^3 - x) (3x^2 + 1) dx

Expanding and integrating:

∫[−1,1] (3x^5 + x^3 - 3x^3 - x) dx = ∫[−1,1] (3x^5 - 2x^3 - x) dx = 0

Since the inner product is zero, we can conclude that the functions u(x) and v(x) are orthogonal on the interval [−1,1].

Next, let's calculate the norms of u(x) and v(x):

∥u(x)∥ = √(∫[−1,1] (x^3 - x)^2 dx) = √(52/5) = √(260/25) = 2√(13/5) = 2√(65)/5

∥v(x)∥ = √(∫[−1,1] (3x^2 + 1)^2 dx) = √(7/2)

Therefore, ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

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Answer:

104

Step-by-step explanation:

5 to 4 equals 9

divide 234 by 9 and you get 26

26 times 5 is 130

and 26 times 4 is 104

so 130 to 104 adding up gives you 234

and the number of women employees would be 104