5 stars 30 points and a thanks.
How many elves are helping Santa?
There are a total of 58 reindeer and elves helping Santa get ready for Christmas. Each reindeer has 4 legs and each elf has 2 legs. Frosty the Snowman, who doesn’t have any legs, counted 158 legs when all the reindeer and elves were in Santa’s workshop helping Santa. How many elves are helping Santa? Enter your answer as a number only

Answer:

t = 350x + 45,750

Step-by-step explanation:

The linear equation that would represent this scenario perfectly would be the following

t = 350x + 45,750

In this equation, the variable x represents the total number of catering jobs that Melissa and her company are completing. This variable gets multiplied by the cost that she charges for each individual job. Finally, the total amount of money that she has already made so far this year is added to that product to give us the total income that she would make for the year after completing the jobs.

Answer:

Given perimeter=900m

So each side = 900/4

                       = 225

as area of square = side^2

=225^2

=50,625 meters

Answer:

5

Step-by-step explanation:

Answer:

anything that is -3 or above like -2 or so on

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

Its inverse is

The second option is correct

Answer:

b

Step-by-step explanation:

got it right

The calculated t-value for the following two-tailed independent sample t-test is -4.378.

Given that,Group 1: n = 9,

M = 70,

SS = 72

Group 2: n = 10,

M = 86,

SS = 90

Alpha level = 0.05

We need to find the calculated t.In this case, the formula for t-test is

t = (M1 - M2) / [s^2 (1/n1 + 1/n2)]^(1/2),where s^2 is the pooled variance.

Therefore,First, we need to calculate the pooled variance which can be calculated as

sp^2 = (SS1 + SS2) / (n1 + n2 - 2)sp^2 = (72 + 90) / (9 + 10 - 2)

sp^2 = 162 / 17sp^2 = 9.53

Now, we can calculate the t-test value as:t = (M1 - M2) / [s^2 (1/n1 + 1/n2)]^(1/2)t

= (70 - 86) / [9.53(1/9 + 1/10)]^(1/2)t

= -16 / [9.53(0.189)]^(1/2)t = -16 / [1.805]^(1/2)t

= -16 / 1.344t

= -11.92At α=0.05,

t-critical for the two-tailed test with 17 degrees of freedom is ±2.110, which indicates that we can reject the null hypothesis as the calculated t-value falls in the critical region.Therefore, the calculated t-value for the following two-tailed independent sample t-test is -4.378.

learn more about critical region

https://brainly.com/question/31164533

#SPJ11

π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

To know more about polar curve click on below link:

brainly.com/question/1094340#

#SPJ4

Answer:

ósea un momentito!!!!

Step-by-step explanation:

...

...........

..

The best estimate of the system solution to the nearest integer values is (2,3).

The coordinates represent the location of a point in the 2D coordinate plane with respect to the origin. A point's x-coordinate is its perpendicular distance from the y-axis as measured along the x-axis. A point's y-coordinate is the perpendicular distance from the x-axis measured along the y-axis. A point's Cartesian coordinates (also known as rectangular coordinates) are a pair of integers (in two dimensions) or a triplet of numbers (in three dimensions) indicating signed distances from the coordinate axis. A point's coordinates are a pair of integers that define its precise location on a two-dimensional plane. Remember that the coordinate plane contains two axes that are perpendicular to each other, known as the x and y axes.

Here,

This question is asking us what the coordinates are for the point of intersection. Since the point is not directly on the grid lines, we must approximate.

The point is closest to the value "2" on the x axis.

The point is closest to the value "3" on the y axis.

This means the correct point is (2,3).

The best approximation of the solution to the system to the nearest integer values is (2,3).

To know more about coordinate points,

https://brainly.com/question/286947

#SPJ4

Answer;

19ft

Explanation:

First, we need to get the length of the broken leg using the Pythagoras theorem as shown;

Original height of the pole = 7ft + 12.21ft

Original height of the pole = 19.21ft

Original height of the pole = 19ft (to the nearest height)

Answer:

Step-by-step explanation:

Given her total cost of ride tickets modeled by the equation c = 3.5t where c is the total cost of tickets and t is the number of tickets, If Stacy bought 15 tickets, to know the amount she would spend on 15 tickets, we will substitute t = 15 into the modeled equation as shown;

\(c = 3.5t\\when t = 15\\\\c = 3.5(15)\\\\c = \frac{35}{10} * 15\\ \\c = \frac{5*7}{5*2} * 15\\\\\)

\(c = \frac{7}{2} * 15\\ \\c = \frac{105}{2}\\ \\c = \ 52.2\)

Hence Stacy would spend $52.2 on 15 tickets

Answer:

I hope this helps!

Step-by-step explanation:

Answer:

No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.

Step-by-step explanation:

Brainliest?

Answer:

the answer is A

Step-by-step explanation:

i got it right on the quiz

Answer:

12.198

Step-by-step explanation:

the thousandth is the third digit after the decimal point, so you round the next number after it, which is 5. so you round it up, ends with 12.198

We get 12.198 after rounding it to the nearest thousandth.

The rounding off decimal places is similar to the basic round-off. We check the previous number. If it is greater than or equal to 5, we increase the value up to which we are rounding by 1, or else keep it the same when the previous digit is less than 5.

The order of digits for decimal places is opposite to the normal number system.

In the number system we have units place, then tens place, then hundreds place, then thousands place, and like that.

In the decimal number system, we start from the highest and go on decreasing.

The first decimal place is the tenth place.

The second decimal place is the hundredth place.

The third decimal place is the thousandth place.

And so on.

In the question, we are asked to round 12.1975 to the nearest thousandth.

As discussed above, the nearest thousandth means rounding off up to the third decimal place.

So we round off 12.1975 up to the third decimal place, that is, we round off up to 7.

The next digit is 5, so we increase 7 by 1 to 8.

Thus, we get 12.198 after rounding it to the nearest thousandth.

Learn more about rounding off decimal places at

https://brainly.com/question/21583892

#SPJ2

Answer:

B. Rational, not an integer

Answer:is 230

Step-by-step explanation:

230 i hoped i helped

Answer:

11

Step-by-step explanation:

Solution for this problem is in this picture.

V = πr^2h

V1 = π14/2^2•9
V1 = π7^2•9

V1 = π49•9

V1 = 1,385.442360233099

V2 = π6/2^2•9

V2 = π3^2•9

V2 = π9•9

V2 = 254.4690049407733

V = V1 - V2

V = 1,385.442360233099 - 254.4690049407733

V = 1,130.973355292326 or 1,130.97

Thus, the volume of the cylinder is 1,130.97cm^3.

Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.



The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.



Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.

To learn more about statistical click here

brainly.com/question/33214409

#SPJ11

A standard normal table contains the probability of a standard normal random variable (z-score) falling within a certain range of standard deviations from the mean.

A standard normal table is a table of probabilities for a standard normal random variable (z-score), which is a normal distribution with a mean of 0 and a standard deviation of 1. The table shows the probability of a z-score falling within a certain range of standard deviations from the mean.

The table typically includes values for z-scores ranging from -3.4 to 3.4 with increments of 0.1. It also includes the corresponding cumulative probability, which is the total probability of z-scores falling below a certain value.

Standard normal tables are commonly used in statistics and probability to calculate the probability of certain values occurring in a normal distribution.

To know more standard normal table on the link below:

https://brainly.com/question/14645437#

#SPJ11

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

\(\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\)

We have the point U (-4, 7) and its image is

U' =\(\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\) \(\left[\begin{array}{ccc}-4\\7\end{array}\right]\)

U' = \(\left[\begin{array}{ccc}-7\\-4\end{array}\right]\)

and, point V is (5, 4) and its image is

V' = \(\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\) \(\left[\begin{array}{ccc}5\\4\end{array}\right]\)

V' = \(\left[\begin{array}{ccc}-4\\5\end{array}\right]\)

and, point W is (5, -5) and its image is

W' = \(\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\) \(\left[\begin{array}{ccc}5\\-5\end{array}\right]\)

W' = \(\left[\begin{array}{ccc}5\\5\end{array}\right]\)

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

https://brainly.com/question/12518192

#SPJ3

Answer:

2 2/25

Step-by-step explanation:

ngl I almost forgot how to do this...

But here's your answer!!

52/25 OR 2 2/25

how I got it:

5/6 divided by 4 which equals 0.208333333333/1000000000000

then i simplify that and its 52/25 and to make it even more simplified its

2 2/25

<3 Enjoy,

    Dea

Answer:

19 × 2x

Step-by-step explanation:

3 × 5 − 5 × 2(3x − 2x) + 3 × 3 | Given

15 - 5 × 6x - 4x + 9 | Multiply and distribute.

19 × 6x - 4x | Add the numbers

19 × 2x | Combine like-terms.

Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

Answer:

c. (1, -7).

Step-by-step explanation:

Substitute the given values to see which set fits:

y = -11x + 4

Try (0, -7):

-11(0) + 4  = 4 . Not this one as we are looking for the result -7.

Try (-1, -7):

-11(-1) + 4  = 11+4 = 15.   Not this one as we are looking for the result -7.

Try (1, -7):

-11(1) + 4  = -11+4 = -7.  This is correct.  

Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.

To find the number of unit cubes required to completely fill the rectangular prism, we need to know the total number of unit cubes that can fit inside the prism. We can determine this by counting the number of unit cubes that can fit in one layer of the prism, and then multiplying it by the number of layers in the prism.

Let's assume that the dimensions of the rectangular prism are length (L), width (W) and height (H), and that it is partially filled with unit cubes. We can count the number of unit cubes in one layer of the prism by multiplying L by W. This gives us the area of the base of the prism, which is the number of unit cubes that can fit in one layer.

Next, we need to count the number of layers in the prism. This is simply the height (H) of the prism. Once we have both these values, we can multiply them to find the total number of unit cubes required to fill the prism.

For example, if the dimensions of the rectangular prism are L=4, W=5 and H=3, and it is partially filled with unit cubes, we can count the number of unit cubes in one layer as 4x5=20. The number of layers in the prism is 3. Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.

To know more about values visit:

https://brainly.com/question/30145972

#SPJ11

The area of the parallelogram is 30 square inch.

A parallelogram is simply a quadrilateral with two pairs of parallel sides.

The area of parallelogram is expressed as:

A = base × height

From the diagram:

Plug the given values into the above equation and solve for area.

Area = base × height

Area = 10 in × 3 in

Area = 30 in²

Therefore, the area is 30 in².

Option D) 30 in² is the correct answer.

Learn more about parallelogram here: https://brainly.com/question/1563728

#SPJ1

The trigonometric values we require :

\(\begin{tabular}{c | l}trigonometric value & numerical value \\\cline{1-2}tan 45^{o}& 1 \\cos 60^{o} & 0.5 \\sin 45^{o} & 1 \div \sqrt{2}\end{tabular}\)

Now, let's solve for x.

tan 45° - cos 60° = x (sin 45°)

\(\mathrm {1 - \frac{1}{2} = x (\frac{1}{\sqrt{2}})}\)

\(\mathrm {\frac{1}{2} = \frac{x}{\sqrt{2}}}\)

\(\mathrm {x = \frac{\sqrt{2}}{2}}\)

\(\mathrm {x = \frac{1}{\sqrt{2}}}\)

The value of x is 1/√2.

I hope it helped you solve the problem

Good luck on your studies!

Answer: The correct answer is Yes, the relationship between x and y is a non-linear function.

I hope this helps.

Step-by-step explanation:

Given the table

Edge Length, x            Surface Area, y

1                                             6

2                                            24

3                                            54

4                                             96

The table values clearly represent a function, because each input value has one and only one output value. i.e. there is no repetition of x values.

Also from the table values and the graph, it is clear that the function is not a linear function, because the graph is not a straight line. Also, In a cubic function, the highest power over the x variable(s) is 3. So, it is not a linear function.

Hence, we conclude that Yes, the relationship between x and y is a non-linear function.

Therefore, the 'last option' is correct.

Hello.

All we should do in order to evaluate the given expression is plug in the value of the variable, a, and solve.

\(\mathrm{\displaystyle\frac{35}{a} }\\\mathrm{\displaystyle\frac{35}{7} }\)

Now, divide:

\(\mathrm{5}\)

Therefore, the final answer is

\(\mathrm{5}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)