All I need is the answer please and thank you

Answer:

acb

Step-by-step explanation:

Place the following events in sequence:

Nerve cells, also known as neurons, are "excitable" cells that can convert different stimuli into electrical signals by sending continuous sequences of information about the internal and external environment to the central nervous system (CNS).

These are found all over the body but are particularly concentrated in the brain and spinal cord. The nervous system is built on nerves as well as the brain and spinal cord.

The nervous system sends information from the brain and spinal cord to the rest of your body, so if part of this system is damaged, these signals can't be transmitted effectively which leads to balance problems and falls.

Thus, the following events in sequence:

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Given:

The edge length of a cube is changing at a rate of 10 in/sec.

To find:

The rate by which cube's volume changing when the edge length is 3 inches.

Solution:

We have,

\(\dfrac{da}{dt}=10\text{ in/sec}\)

We know that, volume of cube is

\(V=a^3\)

Differentiate with respect to t.

\(\dfrac{dV}{dt}=3a^2\dfrac{da}{dt}\)

Substituting \(\dfrac{da}{dt}=10\) and a=3, we get

\(\dfrac{dV}{dt}_{a=3}=3(3)^2(10)\)

\(\dfrac{dV}{dt}_{a=3}=3(9)(10)\)

\(\dfrac{dV}{dt}_{a=3}=270\)

Therefore, the volume increased by 270 cubic inches per sec.

The value of the number (x) is 19/3.

The given statement states that the difference between a number (x) and 4/3 is 11/3. The task is to identify the value of x.

We can solve this equation using simple algebraic operations.

We can add 4/3 to both sides of the equation to simplify it.

x - 4/3 = 11/3 + 4/3 x - 4/3 = 15/3x - 4/3 = 5

After performing these operations, we can simplify it as below: x = 5 + 4/3 x = 15/3 + 4/3 x = 19/3

Therefore, the value of the number (x) is 19/3.

Summary: To find the value of a number (x), which is 4/3 units apart from the given value, we can add 4/3 to both sides of the equation. By doing so, the equation becomes x - 4/3 = 11/3 + 4/3.

Further simplifying the equation using algebraic operations results in x = 19/3. Therefore, the value of the number (x) is 19/3.

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Answer:

0.6495

Step-by-step explanation:

This is question based on conditional probability

The probability that a customer plans to make a purchase = 0.32.

The probability that a customer plans not to make a purchase = 1 - 0.32

= 0.68

The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63

The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.

Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:

0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)

= 0.2016/ 0.2016 + 0.1088

= 0.2016/0.3104

= 0.6494845361

Approximately = 0.6495

Answer: pls braiinliest :D

To find the equation of the line passing through the point (8, -2) that is perpendicular to the line y = 4/5x + 4, we can use the concept of the slope of a line. The slope of a line perpendicular to another line has a negative reciprocal slope.

The slope of the line y = 4/5x + 4 is 4/5. The negative reciprocal of 4/5 is -5/4.

So, the slope of the line passing through (8, -2) and perpendicular to y = 4/5x + 4 is -5/4.

Next, we can use the point-slope form of a line to find the equation of the line:

y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Substituting the values, we get:

y - (-2) = -5/4 (x - 8)

Expanding and solving for y, we get:

y = -5/4x + 26/2

y = -5/4x + 13

The equation of the line passing through the point (8, -2) that is perpendicular to the line y = 4/5x + 4 is y = -5/4x + 13.

Step-by-step explanation:

The recursive formula of the linear growth model is Pₙ = Pₙ ₋ ₁ + 5

The explicit formula of the model is P(n) = 7 + 5n

37 cars are sold in the 6th week

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

P₀ = 7

P₁ = 12

So, the common difference is

d = 12 - 7

Evaluate

d = 5

The recursive formula of the linear growth model is

Pₙ = Pₙ ₋ ₁ + d

So, we have

Pₙ = Pₙ ₋ ₁ + 5

Here, we have

P₀ = 7

d = 5

The explicit formula of the linear growth model is

P(n) = P₀ + nd

So, we have

P(n) = 7 + 5n

This means that

n = 6

So, we have

P(6) = 7 + 5 * 6

Evaluate

P(6) = 37

Hence, 37 cars are sold in the 6th week

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The rule that relates the total distance is d =20g

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

Most cars can travel around 20 miles per gallon of gas that is in their tank

This means that

Rate = 20 miles per gallon

Given that

Distance = d

Gas = g

We have

d = 20 * g

Evaluate

d =20g

Hence, the rule is d =20g

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Step-by-step explanation:

Goal: 300

They still need 246 bottles.

From pie chart, responses of community for each category is

a. One fourth of community chosen by cat category.

b. Approximately 30% of community chosen cat or other.

c. If 6% chosen None then dog was chosen by approximately 18%.

As given,

From pie chart ,responses of community for each category is

Bird>cat>dog>fish>none>other

Fish+ none +other +cat=Approximately 50%

a. Cat chosen by approximately 25%.

b. Cat or Other= Approximately 30%

c. If 6% chosen None then dog

    Approximately three times of none=6×3

                                                               = 18%.

Therefore, from pie chart

a. One fourth of community chosen by cat category.

b. Approximately 30% of community chosen cat or other.

c. If 6% chosen None then dog was chosen by approximately 18%.

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Answer:

There are 455 different  handfuls of 12 jellybeans possible

Step-by-step explanation:

From the given information;

we are told that there exist 50 kinds of jellybean for each of these colors (red, orange, green, yellow)

Also the jellybeans of each color are identical.  

i.e Let say y represent the color of the jellybean.

Then y₁ = y₂ = y₃ = y₄ corresponds to each of these colors (red, orange, green, yellow)

The objective is to determine how many different handfuls of 12 jellybeans are possible?

So;

y₁ + y₂ + y₃ + y₄ = 12

Therefore; the number of different  handfuls of 12 jellybean possible can be computed by using the formula:

\(C(r+k-1,r) = \dfrac{(r+k-1)!}{r! (k-1)!}\)

where;

r =12 jellybeans

k = 4  types of colors

\(C(12+4-1,4) = \dfrac{(12+4-1)!}{12! (4-1)!}\)

\(C(15,4) = \dfrac{15!}{12! (3)!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 \times 12!}{12! (3)!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 }{3!}\)

\(C(15,4) = \dfrac{15\times 14 \times 13 }{3 \times 2 \times 1}\)

\(C(15,4) =5\times 7 \times 13\)

\(C(15,4) =455\)

There are 455 different  handfuls of 12 jellybeans possible  

There are \(455\) different handfuls of \(12\) jellybeans that are possible.

Probability is termed as the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen. The probability formula is determined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

Given information are:

There are exist of \(50\) kinds of jellybean of different colors i.e. red, orange, green, yellow.

The jellybeans of each color are identical.

i.e Let say \(y\) represent the color of the jellybean.

Then \(y_1=y_2=y_3=y_4\) corresponds to each of these colors (red, orange, green, yellow)

So,

\(y_1+y_2+y_3+y_4=12\)

Therefore, the number of different handfuls of \(12\) jellybean possible can be computed by using the formula:

\(C\left ( r+k-1,r \right )=\frac{\left (r+k-1 \right )!}{r!\left ( k-1 \right )!}\)

where,

\(r=12\) jellybeans

\(k=4\) types of colors

\(C\left ( 12+4-1,4 \right )=\frac{\left (12+4-1 \right )!}{12!\left ( 4-1 \right )!} \\ C(15,4)=\frac{15!}{12!(3)!} \\ C\left ( 15,4 \right )=\frac{15\times 14\times 13\times 12!}{12!(3!)} \\ C(15,4)=\frac{15\times 14\times 13}{3!} \\ C(15,4)=\frac{15\times 14\times 13}{3\times2\times1} \\ C(15,4)=5\times7\times13 \\ C(15,4)=455\)

So, the possibility are \(455\) different handfuls of \(12\) jellybeans.

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Answer:

Tool 1

Step-by-step explanation:

\(Tool\ 1 = 7.033 cm\\\\Tool\ 2 = 6.91cm\\Tool\ 3=7.1 cm\\\\When\ we\ subtract\ 7\ from\ all\ of\ them\ ,\\Tool\ 1 = 0.033 cm\\Tool\ 2 = -0.09cm\\Tool\ 3=0.1 cm\\\\Here,\\As\ Tool\ 1\ has\ more\ decimals\ in\ it, it\ is\ the\ most\ accurate\ among\ them.\)

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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The approximate area of the mulch around the merry-go-round is 126.228 feet².

Diameter of the merry go round = 10.4 feet

Radius is half of the diameter.

Radius of the merry go round = 10.4/2 = 5.2 feet

Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.

Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet

Total area of the merry go round with the mulch is,

Area = π (8.2)² = 67.24π feet²

Area of the merry go round = π (5.2)² = 27.04π feet²

Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²

Hence the required area is 126.228 feet².

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Answer: $97.2

Step-by-step explanation: 75+8%/100=81+20%/100=97.2

If their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Franklin treated his sister to lunch while visiting her in Ashland. Their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$.

We have to apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

If their lunch costs $75 and the sales tax in Ashland is 8%.

= 75+8% of 75

=75+(8/100)×75

=81

If Franklin left a 20% tip on the 75$

=81+20% of 81

=$ 97.2

Thus, if their lunch costs $75 and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the 75$. He will totally pay $ 97.2.

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Answer:

V=1/3*pi*radius(to the power of two)*height

Answer: 14 in squared

Answer:

a. $195

b. $4,195

Step-by-step explanation:

Interest: $4,195 - $4,000 = $195

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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Answer:

-----------------

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

C. Positive Correlation

Step-by-Step explanation

Because a positive correlation is a relationship between two variables that move in tandem—that is, in the same direction.

Answer:

second option

Step-by-step explanation:

the solution to the system of equations is at the points of intersection of the two graphs.

the graphs intersect at (- 2, - 3 ) and (1, 0 ) , then

the solutions are (- 2, - 3 ) and (1, 0 )

Squation of an ellipse with a vertical major axis (the hight is greather than the wide) in standard form :

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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The statement is true because 4 × 30%=120

In the first month, the price of the avocado is said to have been raised by 30 percent.

While already raised by 30 percent, another 30 percent raise would make the increase to be 60 percent.

While is at 60 percent, the third month the raise would be = 90 percent because 30 * 3 = 90

Then at 90 percent if there is another raise of 30 percent, the increase would grow to be 120 percent.

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Given the calculation

1) To solve the calculation with distribution, you have to multiply each term inside the parentheses by 6 and then add the resulting fractions:

Now that the multiplications are solved, add the results I will express the fraction 9/2 as a mixed fraction

2) To solve the calculation without distribution you have to solve the addition inside the parentheses first and then multiply the result by 6

To add fractions you have to express them using the same denominator, so the first step is to determine the common denominator between 2, 3, and 4.

The least common denominator between these three numbers is 12

2*6=12 → to express 1/2 with denominator 12 you have to multiply the numerator and denominator by 6

3*4=12→ to express 2/3 with denominator 12, ou have to multiply the numerator and denominator by 4

4*3=12→ to express 3/4 with denominator 12 you have to multiply the numerator and denominator by 3

Now you can add the fractions:

Next, multiply the result by 6

To simplify the fraction you have to divide both values by a common factor, in this case, the common factor between 138 and 12 is 6

The result can be expressed as a mixed fraction

Answer:

A. 10.4

Step-by-step explanation:

180-128=52÷5=10.4

9. The regression line is given as follows: y = 8.5x + 3.7.

10. The estimate for 2022 is given as follows: 71.7 million dollars.

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table, the points are given as follows:

(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).

(considering x as the number of years since 2014).

Inserting these points into a calculator, the equation is given as follows:

y = 8.5x + 3.7.

2022 is 8 years after 2014, hence the estimate is given as follows:

y = 8.5(8) + 3.7 = 71.7 million dollars.

(numeric value at x = 8, replace the lone instance of x by 8).

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