Explain how motor neurons can be part of both the voluntary and the involuntary nervous systems.

Answer: .17 m/h

Step-by-step explanation: One centimeter is .01 meters/one hundredth of a meter, so you just need to move the decimal two digits to the right to convert.

Answer: (-5, 1)

Step-by-step explanation:

The vertex  (-5,1)  is the correct vertex of the rectangle's image.

What is rectangle ?

It is a common geometrical shape having 4 sides and for vertices and each side making 90 degree with the adjacent side.

Surface area of rectangle is given as :

s = 2(lb+bh+hl)

Volume of rectangle is given as :

V= lbh

Area of rectangle is given as ;

A = lb

The given rectangle after rotation 180 degree in anticlockwise direction will have vertex having coordinates (-1,1) , (-5,1), (-5,4) and (-1,4) which is shown below in diagram.

Therefore, the vertex  (-5,1)  is the correct vertex of the rectangle's image.

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The number of ways is 432

From the question, we have

Each number has a different color from each of its proper divisors.

number of ways = 3*2*1*3*3*2*2*2

=432

Multiplication:

Mathematicians multiply two or more numbers to determine the sum of the parts. It is a fundamental mathematical procedure that is commonly used in real-world situations. Multiplication is used when groups of like sizes need to be combined. Multiplication is a mathematical operation that illustrates the fundamental idea of adding the same number again. The product of two or more numbers is what occurs from multiplying them, while the components are the quantities that are multiplied. Multiplying the numbers makes it simpler to repeatedly add the same quantity.

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Answer:

87 I am getting points yayyyy

The soft taco cost $1.25 and the burritos cost $2.5 .

Let the cost of a taco be x and the cost of a burrito be y.

Now we can form a pair of simultaneous equations to calculate the price of each of tacos and burritos.

3x + 3y = 11.25

4x + 2y = 10

Now a pair of simultaneous equations can be solved a number of different ways.

Substitution or elimination is the most prevalent one although we can use graphs to map up the solution.

So here we will use the process of substitution:

3x + 3y = 11.25

or, 3 (x + y) = 11.25w

or, ( x + y ) = 3.75

or, x = 3.75 - y

Now substituting the value we solve

4(3.75 - y) + 2y = 10

or, 15 - 4 y +2y = 10

or, 15 -2 y = 10

or, y = 2.5

hence x = 1.25

Therefore the soft tacos cost $1.25 and the burritos cost $2.5 .

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Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

Answer:

-2 = x 4-2 square units

Step-by-step explanation:

sum = as per as chart

Answer:

I believe the answer is B sorry if I'm wrong

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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Answer:

Percent increase

Step-by-step explanation:

Since the number of marching band students increased from 304 to 322, you would find the percent increase.

You wouldn't find the percent decrease because the number of students increased.

Answer:

the percent has increased, and if your looking for the amount increase in percentage its 5.92%

Step-by-step explanation:

An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.

To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:

Number of people per minute = Number of people on the roller coaster / Duration of the ride

Number of people on the roller coaster = 24

Duration of the ride = 8 minutes

Number of people per minute = 24 / 8 = 3

Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

about 55,000 pounds

Step-by-step explanation:

1,575(3.125) + 5,020(9.9) = 54,619.875

To the nearest thousand, 54,619.875 rounds to 55,000.

Answer: Exact Form: d= 2√58

Decimal Form: 15.23154621...

Step-by-step explanation:

Distance formula: d=√(x2-x1)^2 + (y2-y1)^2

d=√(5- -9)^2 + (-4 - 2)^2

Exact Form: d= 2√58

Decimal Form: 15.23154621...

The distance between two points (-9,2) and (5,-4) is 15.23 units.

The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

We have to determine the distance between (-9,2) and (5,-4)

As per the question, substitute the known values in the formula,

d = √ {(-9 – 5)² + (2 – (-4))²}

d = √ {(-14)² + (6)²}

d = √ {196 + 36}

d = √232

d ≈ 15.23

Thus, the distance between the given two points is 15.23 units.

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Answer:

1. 0.0469 (4.d.p)

2. 0.05

Step-by-step explanation:

1. First we'll find the probability of drawing a blue marble.

P = (No. favourable events)/(Total events)

In this case it's:

P = (No. blue marbles)/(Total Marbles)

Therefore P(Blue) = 4/16 = 0.25

Now we find the probability of drawing a yellow marble:

The total number will be the same because the blue marble will have been put back.

P(Yellow) = 3/16 = 0.1875

Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:

0.25 x 0.1875 = 0.0469 (4.d.p)

2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25

But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:

P(Yellow) = 3/15 = 0.2

Now we multiply them together again to find the combined probability of both happening:

0.25 x 0.2 = 0.05

Hope this helped!

Answer:

552.64 cubic centimeters

Step-by-step explanation:

The volume of a cylinder is:

\(\pi r^2 h=\\\\3.14 \cdot 4^2 \cdot 11=\\\\3.14 \cdot 176=\\\\552.64\)

Hope this helps!

So the right answer is 552.64cm^3

look at the attached picture

Hope it will help you

Good luck on your assignment

1. In terms of x and y, the height of the tree is \(h = y \times tan \ t^\circ\) and\(h = x \times tan \ s^\circ\)

2. The height of the tree is 6.71 meters

From the question, we are to determine the height of the tree in terms of x and y

Using SOH CAH TOA, we can write that

\(tan \ t^\circ =\frac{h}{y}\)

∴ \(h = y \times tan \ t^\circ\)

Also,

\(tan \ s^\circ =\frac{h}{x}\)

∴ \(h = x \times tan \ s^\circ\)

2. If m∠t = 40° and y = 8 meters,

Then, the height of the tree

h = 8 × tan40°

h = 6.71 meters

Hence, the height of the tree is 6.71 meters

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Answer:

All answers in explanation...

Step-by-step explanation:

16: S = more shoes than Ruben   10+s

17: M = money spent on dinner  M-5

18: M = Mary's ringtones   3 + 2M

19: C = cost S= shoe rental    C = S + (3*4)

20:  C= cost   C + 12.75 + (4 * 3)

Hope this helps :)

Answer:

14x-21y

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. This is:

  7(2x – 3y)

= 7(2(6) – 3(-2))

= 7(12 + 6)

= 7(18)

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Answer:

the slope is 6

Step-by-step explanation:

Answer:

Choice D

Step-by-step explanation:

Easiest way is to plot each graph and determine which of the functions the graph matches. The graph of the function in choice D is attached to show it matches that function

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Step-by-step explanation:

2

Example, 2*2=2^2

Hope it helped❤️

Answer:

to the power of 2

for example you can be asked to find the square number of 5 which is the same as 5²= 25

To solve the inequality −3|n - 5| ≥ 24, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: n - 5 ≥ 0

In this case, the absolute value becomes n - 5, so we have:

-3(n - 5) ≥ 24

Simplifying the inequality gives:

-3n + 15 ≥ 24

-3n ≥ 9

Dividing both sides by -3 (and flipping the inequality sign):

n ≤ -3

Case 2: n - 5 < 0

In this case, the absolute value becomes -(n - 5), so we have:

-3(-(n - 5)) ≥ 24

Simplifying the inequality gives:

3n - 15 ≥ 24

3n ≥ 39

Dividing both sides by 3:

n ≥ 13

Combining the solutions from both cases, we find that the solution to the inequality is n ≤ -3 or n ≥ 13. This means n can be any value less than or equal to -3 or any value greater than or equal to 13.

As for the graph representing the solution, it would be a number line with a closed circle at -3 (indicating that it includes -3) and an open circle at 13 (indicating that it does not include 13). The area between -3 and 13 is shaded to represent the values that satisfy the inequality.

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Answer:

Step-by-step explanation:

So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.

First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.

213 - 3x < 51

Now add 3x to both sides,

213 - 3x + 3x < 51 + 3x

213 < 51 + 3x

Now we subtract 51 from both sides,

213 - 51 < 51 - 51 + 3x

162 < 3x

Now we divide both sides by 3,

162/3 < 3x/3

We find the answer,

54 < x

x > 54 bags