HELP!!
Determine the length of side CB.

The equations of the line parallel to the z-axis and passing through the midpoint between the two given points are x = -1, y = 0.5, and z = t, where t represents the distance along the z-axis.

Since the line is parallel to the z-axis, its direction vector will be (0, 0, 1). Now, let's find the midpoint between the two given points:

Midpoint = ((0 + (-2))/2, (-2 + 3)/2, (7 + 5)/2)

= (-1, 0.5, 6)

Therefore, the line parallel to the z-axis and passing through the midpoint (-1, 0.5, 6) can be represented by the following set of parametric equations:

x = -1 (remains constant)

y = 0.5 (remains constant)

z = t (where t is a parameter representing the distance along the z-axis)

In Cartesian form, the equation of the line can be written as:

x = -1

y = 0.5

z = t

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Answer:

554433221100

is in form

and have to divide by 11

554433221100/11

50403020100 is the answer.

Answer: 9 numbers

Step-by-step explanation:

Answer:

it's 1 of a 6 chance fir getting six

Answer: 30.5 %

explanation: When you roll two dice, you have a 30.5 % chance at least one 6 will appear. This figure can also be figured out mathematically, without the use of the graphic.

Answer:

choice 2,5,6

Step-by-step explanation:

Answer:

i took it like 2 years ago. i think its MNP, N, 1, and PNM?

Answer:

Below in bold.

Step-by-step explanation:

it is a right triangle so one angle = 90 degrees.

The other angle = 180 - (37 +90)

= 180 - 127

= 53 degrees.

Linear pairs add up to 180.

So other angle = 18--53

= 127 degrees.

By using synthetic division, we can find all the roots of the function f(x) = x³ + 3x² - x - 3 and determine that the roots are 1, -1, and -3.

A root of a function is a value for x that makes the function equal to zero.

In this case, we have a function f(x) = x³ + 3x² - x - 3 and we know that f(1) = 0. To find all the roots of this function, we can use the remainder theorem.

The remainder theorem states that if we divide a polynomial by a linear expression (such as x - a), the remainder will be equal to the value of the polynomial at that value of x (a). In other words, if we write f(x) = (x - a)q(x) + r, where r is the remainder, then f(a) = r.

So, if we divide our function f(x) by x - 1, the remainder will be equal to f(1), which we know is zero. Therefore, (x - 1) is a factor of f(x), and the function has a root at x = 1.

Next, we can divide f(x) by (x - 1) to get a quotient, q(x), and a new remainder, r. We can repeat this process, dividing q(x) by another linear expression until we have no more remainders.

The roots of f(x) will be the values of x that we used as factors in each step of the division process.

This process of dividing a polynomial by a linear expression to find its roots is called synthetic division.

Complete Question

If f(1) = 0, what are all the roots of the function f(x) = x³ + 3x² - x - 3. Use the remainder theorem.

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Answer:

-11, -2, 3, 6

-16, -5, 19, 21

Step-by-step explanation:

Answer:

10^4

Step-by-step explanation:

10×10×10×10=10,000, which is given number.

The given system of equations is:

As y=y then we can equal both equations and solve for x as follows:

Now, we have an equation in the form:

Where a=2, b=-16 and c=-3, we can apply the quadratic formula:

Replace the a, b and c values and solve to find the x-values:

Then the x-values are: 8.18 and -0.18, and its multiplication is:

Answer: -1.5

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

20 is the total perimeter

Step-by-step explanation:

Answer:

6x + 2

Step-by-step explanation:

The area of a square is side length times itself.

In this problem, the area of one square is:

x², or x * x. So the side length of each square must be x.

In the rectangular shape, the area would be top * side. The side is equal to x because "side" is equal to the sides of the other squares (because a square's sides are all the same).

Plugging that into the equation, top * x = x, so the top must be 1.

There are 5 "full-length sides" on the two "full" squares on the left. Then, in the last skinny rectangle, there are two "tops", and one "full-length side".

Substitue the values of each side.

5x + 1 + 1 + x = 6x + 2

Hope this helps! If you have any questions, feel free to ask.

The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75

From the question, we have the following parameters that can be used in our computation:

In the letters of the word, we have

Vowels = 3

Letters = 8

By calculation, the theoretical probability of choosing a vowel is

Theoretical probability = Vowels/Letters

So, we have

Theoretical probability = 3/8

Based on the experiment, we have

Vowels = 15+9+12 = 36

Letters = 8+15+7+5+20+20 = 75

So, we have

Experimental probability = 36/75

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Answer:

D. y = -8 and y = -10

Step-by-step explanation:

The y-intercept can be found by finding the value of y when x = 0.

According to the table, y-intercept will be between 2 points (6,-8) and (-1,-10)

=> the answer will be D

Answer: B: 15 Dollars

Answer: C: 0

Answer:

It is 9

Step-by-step explanation:

Answer:

ur answer is 4

Step-by-step explanation:

Answer:

one solution = a, that is your answer

Answer:

D) No solution

Step-by-step explanation:

That is because...

x-y=4              2x-2y= -8

-y= -x+4          -2y= -2x-8

y= x-4              -y= -x -4

                       y=x+4

y=x-4 does not equal to y=x+4

The bearing from the port to the ship can be calculated using trigonometry. The ship’s initial direction of North-25°-West can be represented as an angle of 360° - 25° = 335° measured clockwise from north. After traveling 4 miles in this direction, the ship turns left (90° counterclockwise) and travels 11 miles. This means the ship is now traveling in a direction of 335° - 90° = 245°.

We can represent the ship’s movements as a right triangle with legs of length 4 and 11 miles. The angle between these two legs is 90°, so we can use the Pythagorean theorem to find the distance from the port to the ship: sqrt(4^2 + 11^2) = sqrt(137) ≈ 11.70 miles.

To find the bearing from the port to the ship, we need to find the angle between the north direction and the line connecting the port and the ship. We can use trigonometry to find this angle: tan^-1(11/4) ≈ 69.44°. Since the ship is west of north from the port, this means the bearing from the port to the ship is North-69.44°-West or approximately N69.44°W.

Answer: reflection across y axis

Step-by-step explanation:

Answer:

distributive to 4 and 2 thats all i could think of sorry

Step-by-step explanation:

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

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Answer:

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

The correct statement that describes how the slope relates to the height of the water in the pool is:

The height of the water increases 2 inches per minute.

The slope of the line represents the rate of change of the height of the water with respect to time. In this case, since the slope is 2, it indicates that for every minute that passes, the height of the water in the pool increases by 2 inches.

The probability of getting a number between 1 and 3 (inclusive) on the spinner is 0.90 or 90%.

An expression that expresses the likelihood of different outcomes in a random process is known as a probability distribution. To put it another way, it provides the probabilities connected to each potential outcome of a random variable.

A variable's value is determined by the results of a random process is known as a random variable. A random variable's values can be continuous, taking on any value falling within a predetermined range, or discrete, taking on only a limited or countably infinite set of possibilities.

For P(1≤x≤3), we need to sum the probabilities for x=1, x=2, and x=3:

P(1≤x≤3) = P(x=1) + P(x=2) + P(x=3)

= 0.33 + 0.15 + 0.42

= 0.90

Hence, the probability of getting a number between 1 and 3 (inclusive) on the spinner is 0.90 or 90%.

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Answer:

\( X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}\)

Step-by-step explanation:

\( \begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}\)

\( X =

\begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}\)

\( X =

\begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}\)

\( X =

\begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}\)

\( X =

\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}\)

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Step-by-step explanation:

y - 6 = -12(x + 4)

y = -12x - 48 + 6

y = -12x - 42

Option → #3

The term that refers to the force per unit area or collisions with the walls of the container is "pressure".

In the kinetic theory of gases, pressure is defined as the force per unit area exerted by gas molecules colliding with the walls of the container. The pressure of a gas is directly proportional to the number of gas molecules present, the temperature of the gas, and the volume of the container. The other terms mentioned in the question are related to the properties of gases as well. Volume refers to the amount of space occupied by a gas, number of moles refers to the amount of gas present, and temperature refers to the average kinetic energy of gas molecules.

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a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

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The number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

The number of ways to choose 3 hearts from the 13 available hearts is given by the binomial coefficient C(13,3). The number of ways to choose 2 diamonds from the 13 available diamonds is given by C(13,2). The total number of ways to choose 3 hearts and 2 diamonds from the deck of 52 cards is the product of these two binomial coefficients: C(13,3) * C(13,2).

i.e.

There are 13 hearts and 13 diamonds in a deck of 52 cards.

To choose 3 hearts, we have C(13,3) = 13!/(3!(13-3)!) = 286 ways.

To choose 2 diamonds, we have C(13,2) = 13!/(2!(13-2)!) = 78 ways.

Therefore, the number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

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Answer:

Step-by-step explanation:

The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.

The student used additive commutative property for the first step.

According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.

The student used a + b = b + a

3a + b = 2 + 7 - 5a = 2 - 5a + 7

Because add two numbers, exchange the position of the addend, and sum of them remain same.

This is a additive commutative property.

Hence, the student used additive commutative property for the first step.

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Answer:

Let x be the number of shakes you can buy.

The cost of 5 meals is:

5 * $4 = $20

The total cost of the meals and shakes is:

$20 + $3x = $30

Subtracting $20 from both sides of the equation:

$3x = $10

Dividing both sides of the equation by $3:

x = 3.33

Rounding down to the nearest whole number, you can buy 3 shakes.

I hope this helps!