HELP I NEED THIS ASAPPP!!!
Mr. Harris graded papers at the end of the school day. The table below shows how many papers he graded in minutes.

Minutes Number of papers graded
4 2
16 8
20 10
24 12

At this rate, how many papers will Mr. Harris grade in 60 minutes?
30 papers
36 papers
48 papers
52 papers

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

Learn more about Cosine Ratio on:

https://brainly.com/question/15793827

#SPJ1

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

Read more about Missing angle at: https://brainly.com/question/28293784

#SPJ1

Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Answer:

option D

Step-by-step explanation:

Applying proportions, it is found that the discounted price of each console at store B is given by:

B. $210.80.

A proportion is a fraction of a total amount.

In this problem, at store B, 15 consoles sold for a total of $3,720, hence the price per console is of:

P = 3720/15 = $248.

A discount of 15% is applied, which means that the new price is 85% of the original price, hence:

P = 0.85 x 248 = $210.8.

Which means that option B is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.

Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.

La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.

Step-by-step explanation:

Answer: infinite answers, jk there is like a lot tho

Step-by-step explanation: The sum of x and y is 79. In other words, x plus y equals 79 and can be written as equation A:

x + y = 79

The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:

x - y = 23

Now solve equation B for x to get the revised equation B:

x - y = 23

x = 23 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 79

23 + y + y = 79

23 + 2y = 79

2y = 56

y = 28

Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:

x + y = 79

x + 28 = 79

X = 51

Summary: The sum of the two numbers is 79 and their difference is 23. What are the two numbers? Answer: 51 and 28 as proven here:

Sum: 51 + 28 = 79

Difference: 51 - 28 = 23

Please give me brainliest

The expanded form of (x + 2)⁷ is x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128 by binomial theorem.

To expand the expression (x + 2)⁷ using the binomial theorem, you can follow these steps:

Determine the coefficients of the terms in the expansion.

The coefficients can be found using the binomial coefficient formula:

nCr = n! / (r! × (n-r)!), where n is the exponent of the binomial and r is the power of the variable in each term.

In this case, n = 7, and the terms will range from x⁷ to 2⁷.

(x + 2)⁷ = 1x⁷ + 7x⁶2¹+ 21x⁵2² + 35x⁴2³ + 35x³2⁴ + 21x²2⁵ + 7x¹2⁶ + 12⁷

(x + 2)⁷ = x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128

Therefore, the expanded form of (x + 2)⁷ is x⁷ + 14x⁶ + 84x⁵+ 280x⁴ + 560x³ + 672x² + 448x + 128

To learn more on Binomial Theorem click:

https://brainly.com/question/30095070

#SPJ1

Proving  that the maximum spanning tree of g contains the widest paths between every pair of vertices .

Suppose now we were to add an edge from the widest path into the spanning tree in a place that it won't cause a cycle.

so every path between our two nodes must contain some edge between two previously unconnected nodes.

The weight of the edge we removed was equal to the width of the original path, and because the path was that every edge in the new path must have had more weight than that edge.

This means that our new spanning tree must have strictly more total weight than the original, which contradicts the definition of the original 'maximum' spanning tree.

Learn more about the maximum here:

https://brainly.com/question/17467131

#SPJ4

The standard deviation for the distribution will be S=10767.42

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values.

The formula for the calculation of standard deviation will be given by

\(S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}\)

Here S is standard deviation \(\mu\) is mean and n is number of the data points.

Mean will be calculated as

\(\mu=\dfrac{12000+10000+8000+6000+4000+2000}{8}=\dfrac{42000}{8}=5250\)

Now we will calculate standard deviation from the formula

\(S=\sqrt{\dfrac{\sum(x-\mu)}{n-1}\)

By putting all the values we will get

\(S=\sqrt{115937500}\)

S=10767.42

Hence the standard deviation for the distribution will be S=10767.42

To know more about standard deviation follow

https://brainly.com/question/475676

#SPJ1

Answer:

4) 26+4/842-/×375-^×

5)/^9+37+×+454+12

Step-by-step explanation:

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ9

Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

Learn more about slope here:

https://brainly.com/question/29044610

#SPJ1

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

What are the expressions?

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

1:

p-r/6=-6-(-6)/6=-6+1=-5

2:

p-(m-n)= -1-(-4-4)=-1-(-8)=-1+8=7

3:

(z+y)/2)3=(-5-4)/3=-9/3=-3

4:

m/6-n=6/6-6=1-6=-5

5:

k³-h=3³-(-2)=27+2=29

6:

p-(p-(m-3))=5-(5-(4-3))=5-(5-1)=5-4=1

7:

(k)(k-j)+3=(5)(5-5)+3=5*0+3=3

8.

p²/6-q=6²/6-4=6-4=2

9;

zx+3³=6*4+3³=24+27=51.

10:

y+z-(y-x)=5+4-(5-2)=9-3=6

Some basic rules:

+. +. +=+

+. * +=+

+. ÷ +=+

+. - +=+

and

+. +. -=add and put sigh of greater one.

-. * +=-sigh

-÷-=+sigh

- - -=add and put - sigh

The mid point for the line segment joining the points S = (-5, -3) and T = (7, 1). is M = (x, y) = (1, -1).

We are given two points:

S = (-5, -3) and T = (7, 1).

A mid point is the point that divides the line into two equal halves.

We need to find the mid point M for the line segment ST

Let M = (x, y)

Now, we know that the formula for calculating mid point is:

M = ( x₁ + x₂ / 2 , y₁ + y₂ / 2)

Substituting the values in the formula, we get that:

M = (x, y) = ( - 5 + 7 / 2, - 3 + 1 / 2)

M = (x, y) = ( 2 / 2, -2 / 2 )

M = (x, y) =( 1 , - 1)

Therefore, we get that, the mid point for the line segment joining the points S = (-5, -3) and T = (7, 1). is M = (x, y) = (1, -1).

Learn more about mid point here:

https://brainly.com/question/5566419

#SPJ9

BIVE & is a company that provides a platform for businesses to connect with and engage with their customers.

The company was founded in 2015 by two entrepreneurs, and it has since raised over $10 million in funding. BIVE & offers a variety of features that allow businesses to create and manage their own social media profiles, as well as to track and measure their social media engagement. The company also offers a variety of tools that allow businesses to create and manage their own email marketing campaigns.

BIVE &'s employee data is not publicly available. However, the company has stated that it has over 50 employees. BIVE &'s products and services are similar to those offered by other social media marketing platforms, such as Hootsuite and Buffer. However, BIVE &'s platform is designed specifically for businesses that want to connect with and engage with their customers on a social level.

BIVE &'s main source of revenue is from its subscription fees. The company offers a variety of subscription plans, starting at $29 per month. BIVE & also offers a free trial of its platform.

Learn more about company on

https://brainly.com/question/25818989

#SPJ1

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

Learn more about  Role Strain from

https://brainly.com/question/14283116

#SPJ1

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Learn more about temperature here:

https://brainly.com/question/25677592

#SPJ8

Answer:

2.25

Step-by-step explanation:

6 · 3/8 = 18/8 = 2.25

9514 1404 393

Answer:

  $62,308.80

Step-by-step explanation:

The total amount paid on the 15-year mortgage is ...

  ($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80

The total amount paid on the 30-year mortgage is ...

  (546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60

__

The amount saved by selecting the 15-year mortgage is the difference of these amounts:

  $196,563.60 -132,254.80 = $62,308.80

_____

Additional comment

This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.

Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

For more questions on Average .

https://brainly.com/question/20216375

#SPJ8

Answer:

24

Step-by-step explanation:

5(2) + 2(4 + 3)

5 x 2 + 2 x 7

10 + 14 = 24

Here you go! :D

Answer:

40 chocolates

Step-by-step explanation:

30% *C=12

0.3*C=12

C=40

The inverse element of the binary operation is given by  (20-7a)/9 .

The binary operation is defined by a * b = 2a + 3b - 5

Now let us first find the identity element of the operation.

let e be the identity element.

Hence we know that a * e = a

Therefore a * e = 2a + 3e - 5

or, a = 2a + 3e - 5

or, a - 2a = 3e - 5

or, -a = 3e - 5

or, e = (5-a) / 3

Now we know that the inverse of the operation will be such that

a * a⁻¹ = e

or,  a⁻¹ = (20-7a) / 9

Therefore the inverse of the operation is given by (20-7a) / 9  .

A binary operation or dyadic operation is a rule that combines two elements (referred to as operands) to produce a third element. Formally, a binary operation is a two-arity operation.

An internally binary operation on a set is a binary action with the same set as its two domains or codomain. Examples include addition, multiplication, and other basic mathematical operations.

To learn more about binary operations visit:

https://brainly.com/question/13969601

#SPJ9