mrs adams buys 4 bannanas and 6 apples tell whether each statement is true or false

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Given

The diagonals of a square is 12cm each calculate the area

Solution

From the properties of a square

All sides are equal

Let each side be x

Using pythagoras

Now

The final answer

The diagonals of a square is 12cm, the area will be

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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Answer:

$838.09

Details:

750.44 after one year.

771.45 after two years.

793.05 after three years.

815.26 after four years.

838.09 after five years.

Answer:

G is the answer

Step-by-step explanation: 8*((40-16)/2)= 8*12 = 96, 6*((40-12)/2) = 6*14 = 84, and 96-84 = 12

Answer:

Vertex of g(x) = ( -4 , 4)

Range of g(x)  is  \(g(x)\leq 4\)

Step-by-step explanation:

For the Vertex of g(x),

Vertex of the graph is also called the turning point of the graph, as we see the graph of g(x) we can see that the axis of symmetry is at x = -4 meaning that left side of the graph on x = -4 is a mirror reflection on the right side of the graph.

So the x-coordinate of the vertex is -4

Now for the y-coordinate,

y-coordinate of the vertex is where the axis of symmetry occurs so the axis of symmetry is at x = -4 if we trace where x = -4 leads us we can see that it leads to y = 4 so the vertex of g(x) is ( -4 , 4)

Now for the Range of g(x),

The range is the set of possible output values, which are shown on the y-axis. Here we can see that the maximum value of g(x) on the y-axis is 4 then the values on the y-axis decrease

For example

Maximum value is 4 then decreases from there like 4 , 3 , 2 , 1 , 0 , -1 , -2 .... and so on if we see the graph . So the max value is 4 so the range becomes ,

\(g(x)\leq 4\)

because the maximum value is 4 and then decreases so that is why we add the less than equal to sign.

Answer:

-5

Step-by-step explanation:

The reciprocal means the opposite. Easiest math q of all time lol.

Answer:

\( \frac{1}{5} \)

Answer:

d. 4,096

Step-by-step explanation:

i hope this helps :)

The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.

First determine the total number of face cards and non-face cards in a standard deck of 52 cards.                                   In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.

Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13

So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.

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The surface area of the cylinder is approximately 22.48 square yards.

The first step to finding the surface area of a cylinder is to determine the radius of the circular base. We know the volume of the cylinder is 10 cubic yards and the height is 3 yards.

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. We can rearrange this formula to solve for the radius:

r = √(V/πh)

Substituting the given values, we get:

r = √(10/π(3))

r ≈ 1.19 yards

Now we can use the formula for the surface area of a cylinder:

A = 2πrh + 2πr^2

Substituting the values we have found, we get:

A = 2π(1.19)(3) + 2π(1.19)^2

A ≈ 22.48 square yards

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Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Answer:

101

Step-by-step explanation:

Opposite of 79 must add to 180 which is 101 and x is equivalent

Answer:

101°

Step-by-step explanation:

x + 79° = 180° ( being co-interior angles )

x = 180° - 79°

x = 101°

hope it helps :)

Based on the information provided, we can expect that participants in Group 1 will have faster reaction times and higher accuracy rates compared to those in Group 2.

This is because the warning signal in Group 1 (L) is identical to the test pair, which facilitates a faster and more accurate response due to the phenomenon of priming. In contrast, the warning signal in Group 2 (U) is different from the test pair, which may cause confusion and slower response times.

Furthermore, we can also expect that overall reaction times and accuracy rates will be affected by the task difficulty, which is determined by the similarity of the test pair. If the test pair is identical, participants are expected to have faster reaction times and higher accuracy rates compared to when the test pair is different.

This is because it is easier to identify similarity than difference. It is also possible that practice effects and individual differences in cognitive abilities may influence the results.

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->period = \(\frac{2\pi }{2} =\pi\)

->a=3, shift \(\frac{\pi }{4}\)

->right 1 unit up

Rest are shown in graph

The face value of the non-interest-bearing note for the woman's loan should be approximately $500.26. The face value of the non-interest-bearing note for the man's loan should be approximately $2417.91.

To find the face value of a non-interest-bearing note, we can use the formula:

Face Value = Proceeds / (1 - Discount Rate * (Days to Maturity / 360))

1. Calculation for the woman's loan:

Proceeds = $485

Discount Rate = 13.22%

Days to Maturity = 80 (from April 10 to June 29)

Face Value = $485 / (1 - 0.1322 * (80 / 360))

Face Value = $485 / (1 - 0.1322 * 0.2222)

Face Value = $485 / (1 - 0.0294)

Face Value = $485 / 0.9706

Face Value = $500.26 (approximately)

Therefore, the face value of the non-interest-bearing note for the woman's loan should be approximately $500.26.

2. Calculation for the man's loan:

Amount needed = $2350

Discount Rate = 14.4%

Days to Maturity = 70 (from July 10 to September 18)

Face Value = $2350 / (1 - 0.144 * (70 / 360))

Face Value = $2350 / (1 - 0.144 * 0.1944)

Face Value = $2350 / (1 - 0.0279)

Face Value = $2350 / 0.9721

Face Value = $2417.91 (approximately)

Therefore, the face value of the non-interest-bearing note for the man's loan should be approximately $2417.91.

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Answer:

x = 2 1/6 (13/6)

Step-by-step explanation:

to solve the proportion you must first find the LCF or least common factor

that is 6

so turn 8/3 into 16/6 by multiplying it by 2/2

x + 3/6 = 16/6

then you subtract 3/6 from both sides

x = 13/6

x is 2 1/6

Hope the attachment helps

The measure of both angles is 60 and 180 degrees respectively.

In a literal sense, corresponding means pairwise angles. Like the right corner angles of two triangles etc. But usually, we take them as:

For two similar figures, the pair-by-pair similar angles of those two similar figures are called corresponding angles. They are of the same measurement.

Given that angle a is corresponding to angle b the measure of angle b is 2x+60 and the measure of angle a is x.

Since both the angles are equal then;

Angle A = Angle B

x = 2x + 60

Solving for x;

2x - x = -60

x = -60

Therefore, the measure of both angles is 60 and 180 degrees.

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Answer:

3(x - 1)

Step-by-step explanation:

Let x be the number.

3(x - 1)

Answer:

y= what u get after calculation

x = number that u think

so

y=3(x-1)

1) Notice that there are three cats, and each collar has 5 options (colors).

2) Based on that, we can write the following, considering the repetitions of colors are allowed.

Thus, there are 125 possibilities (selections) for picking colors for this set of three collars.

Part 2) Given that now, it is not allowed repetitions we can use the same diagram with a little adjustment: the number of possibilities over the dash is going to be decreasing for each picking means one less option.

Since Dave cannot repeat any color, there are now 60 selections to be made.

Answer:

4

Step-by-step explanation:

Answer:

To obtain the third side of an isosceles triangle with two sides known, use the Pythagorean theorem if it is a right triangle or provide additional information if it is no

Step-by-step explanation:

You can follow these steps:

Identify the two sides that are known. In an isosceles triangle, these will be the two equal sides, often referred to as the legs of the triangle.

Determine the length of the base. The base is the third side of the triangle, and it is the side that is not equal to the other two sides.

If the isosceles triangle is also a right triangle, you can use the Pythagorean theorem to find the length of the base. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, you can use the formula:

base^2 = (leg1)^2 + (leg2)^2

Take the square root of both sides to solve for the base:

base = √((leg1)^2 + (leg2)^2)

If the isosceles triangle is not a right triangle, you need additional information to determine the length of the base. This could be the measure of an angle or another side length.

Remember that the lengths of the two equal sides (legs) in an isosceles triangle are always equal, while the length of the base is different.

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So, the rate of change of Logan's money remaining per ride paid for varies between -1/15 and -1/3, depending on the two rides that we choose to calculate the slope.

In mathematics, slope refers to the steepness of a line or a curve. More specifically, it is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line or curve.

The slope of a straight line can be found by dividing the change in the y-coordinates (vertical change) by the change in the x-coordinates (horizontal change) between any two points on the line. This is often represented by the symbol "m".

by the question.

To find the rate of change of Logan's money remaining per ride paid for, we need to calculate the slope of the line that represents the relationship between the number of rides paid for and the money remaining.

We can start by plotting the data points on a coordinate plane, where the x-axis represents the number of rides paid for and the y-axis represents the money remains.

(15, 10) (30, 9)

(20, 20) (50, 10)

We can see that the two points (15, 10) and (30, 9) represent the two rides where Logan had $10 and $9 remaining, respectively, and (20, 20) and (50, 10) represent the two rides where Logan had $20 and $10 remaining, respectively.

To calculate the slope of the line that passes through these points, we can use the formula:

\(slope = (y_2 - y_1) / (x_2 - x_1)\)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the points (15, 10) and (30, 9), we get:

\(slope = (9 - 10) / (30 - 15) = -1/15\)

Using the points (20, 20) and (50, 10), we get:

\(slope = (10 - 20) / (50 - 20) = -1/3\)

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We have reached an equation that is not true: 290 = 360. This means that our assumptions were incorrect and there is no solution to this system of equations that satisfies all the constraints

How to measure an angle?

a) To find the measure of angles B, C, and D, we can start by drawing a diagram of the bridge and labeling the angles:

      A

     / \

    /   \

   /     \

  /       \

 /         \

/           \

B             C

\           /

 \         /

  \       /

   \     /

    \   /

     \ /

      D

Since the bridge is perpendicular to the two towers, we know that angles B and C are both 90 degrees. Therefore, we can use the fact that the angles in a triangle add up to 180

degrees to find the measure of angle D:

angle D = 180 - angle A - angle B - angle C

       = 180 - 35 - 90 - 90

       = 180 - 215

       = -35

This is an invalid result, since angles cannot be negative. We made a mistake in assuming that angles B and C are both 90 degrees. In fact, they are not necessarily equal to each other, since the bridge may not be perfectly symmetrical. Let's call the measure of angle B x and the measure of angle C y. Then we can use the fact that the angles in a triangle add up to 180 degrees

to get an equation

:

angle A + angle B + angle C + angle D = 180

35 + x + y + angle D = 180

We also know that the sum of the angles around each tower is 360 degrees. Let's call the measure of angle E on one side of the bridge, and the measure of angle F on the other side. Then we can set up two more equations:

angle B + angle D + angle E = 360

x + angle D + angle F = 360

We have three equations and three unknowns (x, y, and angle D), so we can solve for them using

algebra

. First, we can rearrange the first equation to solve for angle D:

angle D = 180 - 35 - x - y

Then we can substitute this expression for angle D into the other two equations:

x + (180 - 35 - x - y) + angle F = 360

(180 - 35 - x - y) + angle E + 90 = 360

Simplifying these equations, we get:

145 - y + angle F = 360 - angle E

145 - x - y + angle E = 270

Now we have two equations and two unknowns (x and y), which we can

solve using

algebra. Let's rearrange the first equation to solve for angle F:

angle F = 360 - 145 + y - x

Substituting this expression for angle F into the second equation, we get:

145 - x - y + (180 - 35 - x - y) + 360 - 145 + y - x = 270

140 - 2x = 0

x = 70

Now we can substitute this value for x into the other equations to get:

angle D = 180 - 35 - x - y

      = 180 - 35 - 70 - y

      = 75 - y

angle F = 360 - 145 + y - x

      = 215 + y - 70

      = 145 + y

145 - y + angle F = 360 - angle E

145 - y + (145 + y) = 360 - angle E

290 = 360

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Answer:

5

Step-by-step explanation:

25% of 20 is 5

Answer:

4y^4√3x^2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

According to the question The probability that a New York teenager owns a skateboard or a bicycle is 0.82.

Let's denote the event of owning a skateboard as \(\(A\)\) and the event of owning a bicycle as \(\(B\).\)

We are given:

\(\(P(A) = 0.37\)\) (probability of owning a skateboard)

\(\(P(B) = 0.81\)\) (probability of owning a bicycle)

\(\(P(A \cap B) = 0.36\)\)  (probability of owning both skateboard and bicycle)

To find the probability that the teenager owns a skateboard or a bicycle    \((\(A \cup B\))\) , we can use the formula:

\(\[P(A \cup B) = P(A) + P(B) - P(A \cap B)\]\)

Substituting the given values:

\(\[P(A \cup B) = 0.37 + 0.81 - 0.36\]\)

Calculating:

\(\[P(A \cup B) = 0.82\]\)

Therefore, the probability that a New York teenager owns a skateboard or a bicycle is 0.82.

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