Jared has 5 pieces of cake and wants to split them evenly between himself and 5 friends how much will each person and receive​

Answer:

34.83

Step-by-step explanation:

To solve this question, you need to use the equation a2+b2=c2.

The shorter side of this triange is a, and the longer side is b. 22x22=484, and 27x27=729. Add these together to get 1213. Press a button on your calculator that looks like √. Once you press it, you will recieve your answer.

The discriminant of ggg is negative.

The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.

Learn more about quadratic equation here

brainly.com/question/30098550

#SPJ11

What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?

The distance Chyna ran is 7 1 / 2 kilometres.

Ronaldo ran 9 / 10 fewer kilometres than Chyna ran. Ronaldo ran 6 3 / 5

kilometres

Therefore, the distance Chyna ran in kilometres can be calculated as follows:

Therefore,

Distance Ronaldo ran = 6 3 / 5  = 33 / 5 kilometres

Hence,

Distance Chyna ran = 33 / 5 + 9 / 10

Distance Chyna ran = 66 + 9 / 10

Distance Chyna ran = 75 / 10

Therefore,

Distance Chyna ran = 7 5 / 10

Distance Chyna ran = 7 1 / 2 kilometres

learn more on kilometres here: https://brainly.com/question/31279866

#SPJ1

The continuous random variables in the given options are:

C. X is the average number of petals per daisy computed from all the daisies found in a randomly chosen grassy area 1 square meter in size.

D. X is the stem length in centimeters of a randomly chosen daisy.

The continuous random variables are those that can take on any value within a range or interval. Let's analyze each option:

A. X is the number of petals on a randomly chosen daisy.

This variable is discrete because the number of petals can only take on specific whole number values. For example, a daisy can have 5 petals, 6 petals, 7 petals, etc. It cannot have fractional or continuous values.

B. X is the number of daisies found in a randomly chosen grassy area 1 square meter in size.

This variable is discrete because the number of daisies can only be a whole number. You can count the number of daisies in the area, and it will give you a specific count, not a continuous value.

C. X is the average number of petals per daisy computed from all the daisies found in a randomly chosen grassy area 1 square meter in size.

This variable is continuous because the average number of petals per daisy can take on any real number value within a certain range. The average can be a fractional or decimal value, allowing for a continuous range of possibilities.

D. X is the stem length in centimeters of a randomly chosen daisy.

This variable is continuous because the stem length can take on any real number value within a certain range. The length can be fractional or decimal, allowing for a continuous range of possibilities.

Therefore, the continuous random variables in the given options are:

C. X is the average number of petals per daisy computed from all the daisies found in a randomly chosen grassy area 1 square meter in size.

D. X is the stem length in centimeters of a randomly chosen daisy.

Learn more  about variables here:https://brainly.com/question/29583350

#SPJ11

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{12}{l}\) ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = \(\frac{12}{cos70}\) ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

To know more about encoding task, visit

https://brainly.com/question/8567493

#SPJ11

The attached figures represent the transformations of the triangle ABC

From the figure, the coordinates of the triangle ABC are:

A =  (-2, 3)

B = (0, 2)

C = (3, 4)

Next, we carry out the required transformations on the above coordinates of the triangle ABC

The rotation

Here, we rotate the triangle 90 degrees clockwise across the origin

The rule of this transformation is:

(x, y) = (y, -x)

So, we have:

A' =  (3, 2)

B' = (2, 0)

C' = (4, -3)

See figure (1) in the attachment for the graph of the rotation transformation

The translation

Here, we translate the triangle up by 3 units

The rule of this transformation is:

(x, y) = (x, y + 2)

So, we have:

A' =  (-2, 5)

B' = (0, 4)

C' = (3, 6)

See figure (2) in the attachment for the graph of the reflection transformation

The reflection

Here, we reflect the triangle across the y-axis.

The rule of this transformation is:

(x, y) = (-x, y)

So, we have:

A' =  (2, 3)

B' = (0, 2)

C' = (-3, 4)

See figure (3) in the attachment for the graph of the reflection transformation

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

18.84m

Step-by-step explanation:

The diameter=12m

To get the radius, the diameter has to be divided by 2

Radius=diameter/2

Radius=12/2=6m

Perimeter=3.14 x 6

=18.84m

The time it will take for the rocket to hit the ground is given as follows:

4.5 seconds.

The quadratic function modeling the rocket's height after x seconds is given as follows:

y = -2x² + 5x + 18.

The rocket hits the ground when y = 0, that is:

-2x² + 5x + 18 = 0

2x² - 5x - 18 = 0.

The discriminant is given as follows:

D = (-5)² - 4(2)(-18) = 169.

Hence the positive root is given as follows:

x = [5 + sqrt(169)]/4

x = 4.5 seconds.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

To find the nonpermissible replacement for y in the expression;

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

For y to be nonpermissible, the denometor must be equal to zero.

To get y, add 1 to both sides.

At y =1, the expression becomes;

Therefore, the nonpermissible replacement for y in the given expression is;

Answer:

Step-by-step explanation:

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Answer:

4 or -8

Step-by-step explanation:

180-148=x(x+4)

32=x^2 + 4x

x^2 +4x - 32

x = 4 or -8

False.The statement "For all functions f(x) and g(x), f(g(x)) = g(f(x))" is not true in general.

The composition of functions, denoted as f(g(x)), represents applying the function g(x) first and then applying the function f(x) to the result. The order of composition matters, and in general, it is not interchangeable.

There are cases where f(g(x)) is not equal to g(f(x)). For example, consider the functions f(x) = x^2 and g(x) = x + 1.

If we evaluate f(g(x)), we get f(g(x)) = (x + 1)^2 = x^2 + 2x + 1.

If we evaluate g(f(x)), we get g(f(x)) = f(x + 1) = (x + 1)^2 = x^2 + 2x + 1.

In this case, f(g(x)) is equal to g(f(x)) because the functions f(x) and g(x) have a specific relationship (quadratic and linear). However, this is not true for all functions, and there are many cases where f(g(x)) is not equal to g(f(x)).

Therefore, the statement is false, and it does not hold true for all functions f(x) and g(x).

for such more question on functions

https://brainly.com/question/16332322

#SPJ8

Answer:

down below

Step-by-step explanation:

1) when x is increasing, the function is decreasing

2)

The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60

3) when it is the y intercept, x is equal to 0

2y=8

x=4
(0,4) is the y-intercept

4)
divide the equation by 3
y+2x=2

so the points are like (0,4), (1,2), (2,0)

You could figure out the rate of change

5)1

0+5x=100

5x=90

x=18

18 weeks
btw x are weeks

6)

4000/100=40 hours.

Answer:

I'm back bud

Step-by-step explanation:

Angle 1: 138

Angle 2: 84

Angle 3: 42

Angle 4: 42

Angle 5: 96

Angle 6: 42

Therefore, the area of the parallelogram is 6√10 square units.

Given points p=(1,−3,4),

q=(0,0,4),

r=(1,3,0) and

s=(2,0,0).

In order to show that the given polygon is a parallelogram, we need to show that the opposite sides are parallel.

Let's find the vectors →pq, →rs, →pr and →qs and check if they are parallel or not.

→pq=q−p

=(0,0,4)−(1,−3,4)

=(−1,3,0)→rs

=s−r

=(2,0,0)−(1,3,0)=(1,−3,0)→pr

=r−p

=(1,3,0)−(1,−3,4)

=(0,6,−4)→qs

=s−q

=(2,0,0)−(0,0,4)

=(2,0,−4)

Now, we need to show that →pq∥→rs and →pr∥→qs.→pq∥→rs ⟺ ||(−1,3,0)×(1,−3,0)||

=0

⇒ True →pr∥→qs ⟺ ||(0,6,−4)×(2,0,−4)||

=0

⇒ True

From the above calculations, we can conclude that opposite sides are parallel, which implies the given polygon is a parallelogram.

Now, let's find the area of the parallelogram.

The area of the parallelogram is given by the cross product of two adjacent sides of the parallelogram.

Let's find the length of →pq and →pr.||→pq|

|=√(−1)^2+(3)^2+(0)^2

=√10||→pr||

=√(0)^2+(6)^2+(−4)^2

=2√10

The area of the parallelogram is given by→pq×→pr

=(−1,3,0)×(0,6,−4)

= (−18,0,−6)

The magnitude of →pq×→pr is ||→pq×→pr||

=√((-18)^2+(0)^2+(-6)^2)

=6√10

A polygon is a 2-dimensional or flat-shape that has straight sides. Parallelogram: A parallelogram is a quadrilateral with parallel opposite sides.

The opposite sides of a parallelogram have equal length. A rectangle, square, and rhombus are parallelograms.

The sum of angles in a parallelogram is 360 degrees.

The diagonals of a parallelogram bisect each other.

Area of a parallelogram: The area of a parallelogram is the magnitude of the cross product of two adjacent sides of the parallelogram.

To know more about polygon visit:

https://brainly.com/question/23846997

#SPJ11

Answer: -12

Step-by-step explanation: Hope this helps.

Answer:

-2 is ur missing value

Step-by-step explanation:

if you take negative 2 and negative 5 add them together you get negative 7.

Answer:

There is not enough info for me to answer this.

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.

We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.

If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).

Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).

So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).

To know more about ordered pair refer here:

https://brainly.com/question/28874341#

#SPJ11

Thus, the volume of solid generated by revolving this region about the y-axis is given as:  54π/7. The correct option is c.

To sketch the region, we first plot the curves on the coordinate plane.

The curve x=3y^3 is a parabola that opens to the right and passes through the origin. The curve x=3 is a vertical line that intersects the parabola at y=∛(1/3).

The curve y=0 is just the x-axis.

Now, to find the volume of the solid generated by revolving this region about the y-axis, we use the method of cylindrical shells.

We integrate from y=0 to y=∛(1/3) because those are the limits of integration for the region we are revolving.

The radius of each cylindrical shell is just the value of x at that y-coordinate, which is x=3y^3. The height of each cylindrical shell is the length of the curve, which is just 3 (the length of the vertical line).

Thus, the volume is given by:

V = ∫0^(∛(1/3)) 2π(3y^3)(3) dy
V = 54π/7

Therefore, the correct option is (c) 54π/7.

Know more about the parabola

https://brainly.com/question/64712

#SPJ11

Answer:

6:9:5

Step-by-step explanation:

every 30ml of orange juice

need 45ml of apple juice

&25ml of coconut milk

so 30:45:25

divide all by 5

6:9:5

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

\( {7²}^{3x} = {7³}^{(2x + 1)} \)

Now, performing the multiplication of both exponents on both sides of the equation

\( {7}^{6x} = {7}^{(6x + 3)} \)

As the bases are equal, hence will be the exponents.

6x = 6x + 3

6x is common on both sides and hence x will not exist. Thus, no solution is possible.

Learn more about exponent -

https://brainly.com/question/2456547

#SPJ4

The correct question is -

Solve: \( {49}^{3x} = {343}^{(2x + 1)} \). a. x = –3 b. x = 1 c. x = 3 d. no solution

Answer:

It's D, No solution.

Step-by-step explanation:

I did the assignment.

Answer:

120 ≤ (113 + 137 + x)/3

x ≥ 177

Step-by-step explanation:

Hey there! I'm happy to help!

Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.

√1=1

√4=2

√9=3

√16=4

√25=5

√36=6

√49=7

√64=8

√81=9

√100=10

We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.

I hope that this helps you out! Have a wonderful day! :D

Answer:

for which one all ?

Step-by-step explanation:

because if so lemme know

Answer:

X and Y axis values

Step-by-step explanation:

Domain is the possible values for x -axis  and range is the possible values for y-axis

Answer:

The Y and X values on a graph

Step-by-step explanation:

There are many names for the y and x axises on a graph like domain and range, input and output, and independent variable and dependent variable.

Y-axis:

Range

Input

Independent Variable

X-axis:

Domain

Output

Dependent Variable

The two points given are A(-5, -2) and B(4, -1).

The basic formula for calculating the distance between two points like these is given as

AB = √(x2 - x1)² + (y2 - y1)²

Where x1 = -5, x2 = 4, y1 = -2 and y2 = -1

The distance becomes;

AB = √(4 - [-5])² + (-1 - [-2])²

AB = √(4+5)² + (-1 + 2)²

AB = √(9² + 1²

AB = √81 + 1

AB = √82

AB = 9.05538

AB = 9.055 (Rounded to 2 decimal points)

There is a 73.64% probability that a customer will wait less than 24 minutes to talk to a customer service representative.

To find the probability that the wait time is less than 24 minutes, we can use the exponential distribution formula.

The exponential distribution is often defined in terms of the parameter λ (lambda), which is the rate parameter representing the average number of events per unit time.

In this case, the average wait time is given as 18 minutes, so we can calculate the rate parameter λ as 1 divided by the average wait time:

λ = 1 / 18

Now, we can use the cumulative distribution function (CDF) of the exponential distribution to find the probability.

The CDF of the exponential distribution is given by:

CDF(x) = 1 - e^(-λx)

Where x is the value for which we want to find the probability.

In this case, we want to find the probability that the wait time is less than 24 minutes, so we substitute x = 24 into the CDF formula:

CDF(24) = 1 - e^(-λ * 24)

Substituting the value of λ, we have:

CDF(24) = 1 - e^(-24/18)

CDF(24) = 1 - e^(-4/3)

Using a calculator or software, we find that e^(-4/3) is approximately 0.2636. Therefore:

CDF(24) ≈ 1 - 0.2636

CDF(24) ≈ 0.7364

So, the probability that the wait time is less than 24 minutes is approximately 0.7364 or 73.64%.

To know more about probability refer here:

https://brainly.com/question/11034287#

#SPJ11