For each of the following vector pairs, find u · v. Then determine whether the given vectors are orthogonal, parallel, or neither. (a) u = = (-8, 4, -6), v = (7,4, -1) u. V = orthogonal parallel o ne

Answer:

D. p = 6.25h

Step-by-step explanation:

6.25 (2) = p 12.50

6.25 (4) = p 25.00

6.25 (6) = p 37.50

6.25 (8) = p 50.00

Answer:

slope = -9/7 or (negative fraction 9 over 7)

Step-by-step explanation:

what is the slope of the line that passes through (−2, 3) and (5, −6)?

slope = change in y / change in x

slope = (3 - (-6) / (-2 - 5)

slope = 9/-7

slope = -9/7

from your options:

negative fraction 9 over 7

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

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Answer:

Eight times the sum of a number and 2 is equal to 7.

times = multiply

sum = ()

and = +

SO..

8(w + 2 ) = 7

Answer:

Step-by-step explanation:

a = BC - DC

\(\frac{60}{BC}\) = tan 28°

BC = \(\frac{60}{tan28}\) ≈ 112.8 m

DC = \(\frac{60}{tan54}\) ≈ 43.6 m

a ≈ 112.8 - 43.6 = 69.2 m

Answer: The Answer Is 23

Step-by-step explanation:

Answer:

the answer is 23,

Step-by-step explanation:

i took the test and got it right!!!

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

      a = 22.61°

Then in triangle ΔABC, we have

   sin 22.61° = r / (12 - r)

           0.38 = r / (12 - r)

4.62 - 0.38r = r

           1.38r = 4.62

                  r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

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Answer:

49cm

Step-by-step explanation:

49cm i got it right on edmentum

Answer:

I don't really understand the  question, there calculator websites you can use

Step-by-step explanation:

Answer:

a- 14,11

b-13,63

Step-by-step explanation:

The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

B, g(x)=-x^2-1

Step-by-step explanation:

-g(x)=x^2+1 is the reflection of g(x)=x^2+1 over the x-axis.  Therefore, g(x)=-x^2-1.

Hope this helps :)

Answer:

the angle is 176

Step-by-step explanation:

The length of segment MN is 6 units.

To find the length of segment MN, we can use the distance formula in coordinate geometry.

The distance formula calculates the distance between two points (x₁, y₁) and (x₂, y₂) on the coordinate plane.

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Given the endpoints of segment MN as M(3, 2) and N(9, 2), we can substitute the coordinates into the distance formula.

d = √((9 - 3)² + (2 - 2)²)

d = √(6² + 0²)

d = √(36 + 0)

d = √36

d = 6.

Therefore, the length of segment MN is 6 units.

It's important to note that the y-coordinates of points M and N are the same (both 2), indicating that the segment lies horizontally along the x-axis.

The difference in the x-coordinates (9 - 3 = 6) gives us the length of the segment.

In this case, since the y-coordinates are the same, the segment has no vertical height and is simply a horizontal line segment with a length of 6 units.

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Let's say that the number of large glases sold is L, and the number of small glasses sold is S.

We know the total number of glasses sold, considering large and small ones is 29. Then:

The sales of the large glasses could be calculated as the number of large glasses sold times the price of each:

The same for the small glasses:

Then, the total sales, which are 13.45, will be the sum of the sales of small glasses and the sales of the small ones. Then:

Then, we have a system of 2 equations to calculate the number of small glasses and large glasses:

With the first equation we can say:

Replacing this expression for L in the second equation of the system we have:

Solving for S:

The number of small glasses sold is 7. Then, recalling that L = 29 - S:

The number of large glasses sold is 22.

The cost to make this part of the compass will be $259.65.

To find  how much will it cost to make this part of the compass:

By Pythagorean theorem we calculate the height:

Height of triangle = √24

There are two triangles so:

Multiply this by 13.25 to get the total cost:

Therefore, the cost to make this part of the compass will be $259.65.

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The correct question is given below:
The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of each of these triangles is 2 centimeters and the legs are 5 centimeters.

If the metal used to construct the spinner costs $13.25 per square centimeter, how much will it cost to make this part of the compass? Round to the nearest cent.

Answer:

c

Step-by-step explanation:

Matrix B is \(\left[\begin{array}{ccc}12&1\\13&5&\\\end{array}\right]\).

Here, given condition is,

\(A = \left[\begin{array}{ccc}-2&5\\7&6&\\\end{array}\right]\)

And, l B l = - l A l

What is Matrix?

Matrix is an ordered rectangular arrangement of numbers.

Now,

\(A = \left[\begin{array}{ccc}-2&5\\7&6&\\\end{array}\right]\)

⇒ l A l = 6 x -2 - 5 x 7 = -12 - 35 = -47

Clearly, by option B;

\(B = \left[\begin{array}{ccc}12&1\\13&5&\\\end{array}\right]\)

⇒ l B l = 12 x 5 - 1 x 13

          = 60 - 13 = 47

Hence,  l B l = - l A l

So, Matrix B is \(\left[\begin{array}{ccc}12&1\\13&5&\\\end{array}\right]\).

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96 eight-bit strings either begin with 100 or have the fourth bit 1 or both.

In our case, we need the number of 8-bit strings to either begin with 100 or have the fourth bit 1 or both.

Case1: For our purpose, the first three digits are fixed with 100. We know that the non-decided position will take the numbers 0 or 1. We have 5 such positions. So, the number of possibilities = 2*2*2*2*2 = 32.

Case2: For our purpose, the fourth digit is fixed with 1. The first position can be only 1. We know that the non-decided position will take the numbers 0 or 1. We have 6 such positions. So, the number of possibilities = 1*2*2*2*2*2*2 = 64.

64 + 32 = 96.

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The first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

According to the question,

We have the following two expressions:

X (Y + Z) = X.Y + X.Z

X(Y.Z) = (X.Y)Z = X.Y.Z

Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

For example, 2(5+7) is 2*5+2*7.

The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Hence, the first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

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According to the Boolean algebra, the first expression  X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and

The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

Boolean Algebra:

Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.

And there are three properties in Boolean algebra.

They are, Commutative, associative, and distributive properties.

Given,

Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.

Expression 1: X (Y + Z) = X.Y + X.Z

Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z

Here we need to find the name of the property used by the teacher on those two expression.

While we looking into the question,

We have the give the two expressions:

They are

=> X (Y + Z) = X.Y + X.Z

=> X(Y.Z) = (X.Y)Z = X.Y.Z

When we take the first expression,

X (Y + Z) = X.Y + X.Z

That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

Similarly, when we take the second expression

X(Y.Z) = (X.Y)Z = X.Y.Z

That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Therefore, the first expression  X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

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Answer:

The choose D. 40

Step-by-step explanation:

70+70+Y=180

140+Y=180

Y= 180 - 140

Y= 40

I hope I helped you^_^

When the surface of the water is at an elevation 0 meters, the person that is located at an elevation of -10 meters will be B. Jace, who is exploring a cave that is 10 meters below the surface of the water.

It should be noted that from the information, it was stated that the surface of the water is at an elevation 0 meters.

Therefore, when the surface of the water is at an elevation 0 meters, the person that is located at an elevation of -10 meters will be Jace, who is exploring a cave that is 10 meters below the surface of the water.

In conclusion, the correct option is B.

If the surface of the water is at an elevation 0 meters, which person is located at an elevation

of -10 meters?

Noa, who is floating on his back in the water 10 meters behind a boat

Jace, who is exploring a cave that is 10 meters below the surface of the water

Marcus, who is swimming 10 meters below a bird flying overhead

Eleni, who is standing on a pier 10 meters above the surface of the water.

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Answer:

64 times 7.5 and you will get your answer

Step-by-step explanation:

16*4=64

64*7.5=x

x is what you need to find

Answer:

The sum of two dice can range from 2 to 12. To get a sum of 3, the only possible combinations are (1,2) and (2,1), since there is only one way to get each of those sums.

There are a total of 6 x 6 = 36 possible outcomes when two dice are rolled, since each die has 6 possible outcomes.

Therefore, the probability of rolling a sum of 3 is:

P(D1 + D2 = 3) = number of ways to get a sum of 3 / total number of possible outcomes

P(D1 + D2 = 3) = 2 / 36

Simplifying by dividing both the numerator and denominator by 2, we get:

P(D1 + D2 = 3) = 1 / 18

Therefore, the probability of rolling a sum of 3 with two standard dice is 1/18.

Step-by-step explanation:

in answer :)

Answer:

1/18

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

a  Step-by-step explanation:

When we divide the polynomial x³ - 3x² - 10x + 24 by x - 2, we get x² - x - 12.

Given,

The polynomial;

x cubed minus 3 x squared minus 10 x + 24  = x³ - 3x² - 10x + 24

We have to divide the given polynomial by x - 2.

Polynomial Division;-

Divide the first term of the dividend by the first term of the divisor to divide polynomials using long division. The quotient's initial term is this. Dividend is calculated by multiplying the new term by the divisor. The new dividend is this variation.

Here,

x³ - 3x² - 10x + 24 ÷ x - 2

           x² - x - 12

x - 2)  x³ - 3x² - 10x + 24

      -(x³ - 2x²)

             - x² - 10x

            - x² - 2x

                   - 12x + 24

                  - 12x + 24

                                 0

Therefore,

We get x² - x - 12 when we divide the polynomial x³ - 3x² - 10x + 24 by x - 2

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The statement "some integers are also rational numbers, but not all integers are rational numbers" is true regarding the number sets.

To understand the relationship between integers and rational numbers, it's important to understand the definitions of each set:

Integers: Integers are whole numbers (both positive and negative) and zero, without any fractional or decimal parts.

Rational numbers: Rational numbers are numbers that can be expressed as a fraction (ratio) of two integers, where the denominator is not zero.

Based on these definitions, we can conclude that:

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1. For example, 3 can be written as 3/1, -5 can be written as -5/1, and 0 can be written as 0/1.

However, not all rational numbers are integers. Rational numbers include fractions, decimals that terminate, and decimals that repeat. These numbers may have a numerator and denominator that are not equal to 1. For example, 1/2, -3/4, and 0.25 are rational numbers, but they are not integers.

The statement "some integers are also rational numbers, but not all integers are rational numbers" is true. While all integers are rational numbers, not all rational numbers are integers.

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Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G