can somebody help me understand imaginary numbers???how do I simplify \( {i}^{13} \)how do I solve \( \sqrt{ - 49} \)

Answer:

267.95 in³

Step-by-step explanation:

volume = 4/3 × 3.14 × 4³

= 4/3 × 3.14 × 64

= 267.95 in³

Drawing a 10 from the bag      unlikely

Rolling a number less than 5   Likely

Drawing a red marble             equally likely and unlikely

Here is the completed frequency table:

Number       frequency

1                       9

2                    12

3                    10

4                    8

5                    5

6                     6

Hiro's prediction is likely.

Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.

Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01

It is unlikely that you would draw a 10.

Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides =  4/6 = 0.67

It is likely that a number less than 5 would be rolled.

Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5

It is equally likely and unlikely that a red marble would be picked

In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.

The frequency of 2 = (50 / 25) x 6 = 12

Number       frequency

1                       9

2                    (6 x 2) 12

3                    (1 x 10) 10

4                    (4 x 2) = 8

5                    (1 x 5) 5

6                     (3 x 2) 6

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Answer:

-5/10 or -1/2

Step-by-step explanation:

to find slope from two points, subtract the first y from the second (-2 - 3 = -5) and then subtract the first x from the second (5 - -5 = 10) and the answer is -5/10 which is equivalent to -1/2

the actual formula is \(\frac{y1-y2}{x1-x2}\)

The rate of change of the ordered pairs of the graph is 2.

An indicator of how one quantity changes in relation to another is called a rate of change. The rate at which one quantity changes in relation to another quantity is known as the rate of change function.

Given that the ordered pairs of the graph are {(1,3), (2,5), (3,7), (4,9)}. The rate of change will be calculated as,

R = Δ y = Δx

R = ( 5 - 3 ) / ( 2 - 1 )

R = 2 / 1

R = 2

Therefore, the rate of change of the ordered pairs of the graph is 2.

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Answer:

Step-by-step explanation:

Part (A).

Angles ABC and CBD are the supplementary angles.

Therefore, m(∠ABC) + m(∠CBD) = 180°

Now substitute the measure of each angle in the equation,

(5x + 12)° + (13x + 24)° = 180°

18x + 36 = 180

18x = 180 - 36

18x = 144

x = 8

Part (B).

m∠ABC = (5x + 12)

             = 5(8) + 12

             = 52°

m∠CBD = (13x + 24)

             = 13(8) + 24

             = 104 + 24

             = 128°

Part (C).

We can check the results by adding measures of these angles.

m∠ABC + m∠CBD = 52 + 128

                               = 180°

Therefore, both the angles are supplementary angles which is already given.

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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Answer:

Step-by-step explanation:

Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

THIS IS THE COMPLETE QUESTION BELOW;

1. Explain how you calculate the net force in any direction on the box.

2. Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

3. What force could be applied to the box to make the net force in the horizontal direction zero? Explain.

4. Suppose a force of 25 N to the right is added to the box. What will be the net force to the right?

CHECK THE ATTACHMENT FOR THE FIQURE.

1)since the given horizontal forces are acting on the box at opposite direction then

NET FORCE= (100- 50)N

= 50N( this is because the 100N and 50N acting Horizontally will cancel each other, then the remaining force is 50N.

✓Since, the  two vertical forces also acted on the box in opposite direction, then

NET FORCE= (25 25)N

= 0N

Note: horizontal forces are one acting from right to left and vice versa, while vertical forces are ones acting from up to down and vice versa.

HENCE, NET FORCE = 50N + 0N= 50N

2) since the net vertical force was 0N, if

15N force is added then we still have NET FORCE OF 15N

3) if  force of 50N is applied to horizontal forces moving from left to right then NET HORIZONTAL FORCES= 0N

4) since, the net force for the box is 50N, if  Horizontal force of 25N is added  moving left to right then NET FORCE = 25N for whole box.

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Answer:

Point 'B'

Step-by-step explanation:

This is because outliers are points on a scatter plot that are not in the cluster, a cluster is a group of 2 or more scatter points. Therefor, the outlier would be point 'P'.

Answer:

answer is P

Step-by-step explanation:

Answer:

170 \(cent.^{3}\)

Step-by-step explanation:

If the height is 3 times the radius you can find that by: 3r

r = 3.

So: 3 x 3 = 9

The height is 9 centimeters

Volume of a cylinder (can):

\(V= 2\pi rh\)

Plug in what we know

\(V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\\)

Rounds to: 170

Answer: its A

Step-by-step explanation:

Answer: The answer is "The letter has  rotation symmetry only" the first one "A"

Hope this helped love

The distance between Mrs. Meyer and Dalton would be = 8.5m

The shape that is being formed between the three individuals is the shape of a triangle.

Distance can be defined as the length that is covered by a moving object.

The distance between Mrs Meyer and Leslie =a= 8m(opposite)

The distance between Dalton and Leslie =b = 3 m (adjacent)

Therefore, the hypotenuse = ?

Using the Pythagorean theorem;

c² = a² + b²

C ² = 8²+3²

C = 64 + 9

c² = 73

C = √ 73

C = 8.5m

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Answer:

F could equal 7 or anything below seven.

Answer:

5x+3×2x

8x-1×6x+5x+3×2x

write this and solve this if i tell u all u can't learn urself thank u

Answer:

If we are trying to find the area if the blue rectangle, the answer is 38x²-12x.

Step-by-step explanation:

Area of blue + white: (8x-1) × (6x) = 48x²-6x

Area of white: (5x+3) × (2x) = 10x²+6x

Area of just blue: (48x²-6x) - (10x²+6x) = 38x² - 12x

28.1 amu is the atomic weight of x.

What is atomic weight defined as?

The term "atomic weight" refers to an atom's overall weight. With the addition of a small amount from the electrons, it is roughly equal to the sum of the protons and neutrons.

What does atomic weight vs. atomic mass mean?

The atomic weight of the element will be a weighted average of the isotopes based on the relative abundance:

(27.977 x 0.9221) + (28.976 x 0.0470) + (29.974 x 0.0309

) = 25.798 + 1.362 + 0.926

= 28.08 = 28.1 amu

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Answer:

its suppose to be 3, 6, 9, 12, 15

and 4, 8, 12, 16, 20

Answer:

128 ,  512,  2048

Step-by-step explanation:

The maximum product for two numbers that total 8/5 is 16/25.

To find the maximum product for two numbers that total 8/5, we can use the concept of optimization.

Let's call the two numbers x and y.

We want to maximize the product, which means we need to find the values of x and y that make the product as large as possible.

The sum of x and y is given as 8/5, so we can write the equation:

x + y = 8/5

To solve this problem, we can use the method of substitution. We express one variable in terms of the other and substitute it into the equation.

Let's solve for y in terms of x:

y = (8/5) - x

Now, we can express the product, P, in terms of x:

P = x · [(8/5) - x]

To maximize P, we can take the derivative of P with respect to x and set it equal to zero:

dP/dx = 0

Let's find the derivative of P with respect to x:

dP/dx = (8/5) - 2x

Setting this equal to zero and solving for x:

(8/5) - 2x = 0

2x = 8/5

x = 4/5

Substituting this value of x back into the equation for y:

y = (8/5) - (4/5) = 4/5

Therefore, the two numbers that maximize the product and sum to 8/5 are x = 4/5 and y = 4/5.

To find the maximum product, we substitute these values back into the equation for the product:

P = (4/5) · [(8/5) - (4/5)]

P = (4/5) · (4/5)

P = 16/25

So, the maximum product for two numbers that total 8/5 is 16/25.

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Answer: 0 bricks

Step-by-step explanation:

2,913 milligrams (mg) is only 2.913 grams.  It takes 1,000 grams to make a kilogram.  2,913 mg is only 0.002913 kg.  

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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SOLUTION

From the question, we can see that the figure represented below is

RECTANGULAR PRISM.................OPTION C

The equation of parabola that open upwards with focus 6 units is x²=24y.

A parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. A parabola is a curve where any point at an equal distance from a fixed point  (the focus) and a fixed straight line (the directrix).

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface is also Parabola.

The general equation of Parabola is given by

y = a(x-h)²+ k

where (h,k) is the vertex of parabola.

And the equation of parabola open upward is,

(x-h)² = 4a(y-k)

where (h,k) is vertex and a is focus unit.

⇒ (x-0)² = 4(6)(y-0)

⇒ x² = 24y

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To calculate the amount of calories intake in a meal consumed we have to check the amount of nutrients content in the meal and then we convert it to their calorific values.

Nutrients in a meal can be of three types mainly, that are protein, carbohydrate and fat which are calculated in gram. 1 gram of protein and carbohydrate contain 4 calories and 1 gram of fat contain 9 calories.

Thus if a meal contain 20 grams of protein, 35 grams of carbohydrate and 15 grams of fat then the total content of calories in the meal can be calculated as = (20*4 + 35*4 + 15*9) =355 calories.

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You must find the 75% from 24

so 18 students are making a B or higher

Therefore,