A student bought a calculator and a textbook for a course in algebra

Answer:

8

Step-by-step explanation:

Answer:

42/11

Step-by-step explanation:

11/7 = 6/v

cross multiply:

11v = 6x7 = 42.

v = 42/11 ≈ 3.81

Answer:

14=90

Step-by-step explanation:

You're on the right track with writing the measure of MK = angle N. To figure out angle N we can use the right angle sign right next to it (at LNK). We know that line JK is a straight line meaning it's angle = 180. Therefore, if LNK is 90 degrees, then N also has to be 90 degrees because 90+90=180. From there we know that the measure of MK = 90 due to MK and N being vertical angles.

I unfortunately can't help you with 16, but I hope I was able to help with 14

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

Learn more about end behavior:

https://brainly.com/question/1365136

#SPJ1

Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Learn more about word problem on

https://brainly.com/question/21405634

#SPJ1

Answer:

There are six factors and two treatments.

Step-by-step explanation:

We can make this conclusion because treatments in experimentation refer to something that researchers use or administer to their subjects, while factors simply refer to the category of treatments; in other words, the number of various types of treatments.

Remember, the researchers stated that "the condition [treatments] randomly assigned to the subjects",  is that the granola was labeled as either "Regular Rocky Mountain Granola" or "Low‑Fat Rocky Mountain Granola," which shows that the treatments are two (Rocky Mountain Granola and Low‑Fat Rocky Mountain Granola). Summing the factors (various types/categories of treatments) gives us six factors.

Answer:

Step-by-step explanation:

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

Answer:

Look at the money bags below!!! (but I'll give you the answer)

Step-by-step explanation:

John F: 7 full bags - 1 half

Juan A: 9 full bags

Jason A: 3 full bags

Nick J: 3 full bags- 1 half

Alfonso S: 8 full bags

Hope this helped and wasn't confusing!!! xx - Asia

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

To know more about area:

https://brainly.com/question/27683633

#SPJ1

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

Learn more about Sine Law here:

https://brainly.com/question/13098194

#SPJ1

Answer:

312

Step-by-step explanation:

First we find the measure of the basea and that is 144 becuase 12x12

To find one side we do b*h over 2 and that is 7x12/2 which is 42 then we know that there are 4 more of those sides and we get 42*4 168

When we add 144+168 we will get 312

Answer:

qs,wdnfm.ew fw v

Step-by-step explanation:

wdmc vw.mv / n,v

The function has no hole.

Given the function expressed as:

Note that for any function to have a hole, there must be a common factor at both numerator and denominator of such function, if there is no common factor then the function has no hole.

According to the function given, you can see that there is no common factor at both the numerator and the denominator. Therefore we can conclude that the given function has no hole.

Answer:

package D

If you are satisfied plz make me genius.

Answer: Period = 2 seconds

Graph is shown below

========================================================

Explanation:

1 minute = 60 seconds

We have 30 revolutions every 60 seconds, so we can write the ratio

30 rev: 60 sec

Divide both parts by 30 to turn that "30 rev" into "1 rev"

30 rev: 60 sec

30/30 rev: 60/30 sec

1 rev : 2 sec

This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.

The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.

Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).

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

The general sine curve equation is

y = A*sin(B(x-C)) + D

where

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

The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.

Since T = 2 is the period, this means,

B = 2pi/T

B = 2pi/2

B = pi

We don't have any phase shifts to worry about so C = 0.

The midline is D = 5 since this is halfway up

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

Putting all the pieces together, we get this sine equation

y = A*sin(B(x-C)) + D

y = 5*sin(pi*(x-0)) + 5

y = 5*sin(pi*x) + 5

The graph is shown below.

x = time in seconds, y = height of the seat

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

pet care will be cheaper

Step-by-step explanation:

pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45

boarding(in total)

(week-long vacation)

pet care=30x7=210

fidos=28x7=196

bathing (in total)

pet care=15x7=105

fidos=27x7=189

total cost

pet care=315

fidos=385

Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Answer:

-15x+24

Step-by-step explanation:

You can write that as:

\((-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24\)

The range of the data set are

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.6

{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26

The first data set is

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}

The range is the difference between the highest value and the smallest value

The highest value = 33.4

Lowest value = 3.8

The range = 33.4 - 3.8

= 29.6

The second data set is

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}

The highest value = 0.71

Lowest value = 0.11

The range = 0.71 - 0.11

= 0.6

The third data set is

{6, 2, 14, 11, 28, 10, 19, 15, 11}

Highest value = 28

Lowest value = 2

The range = 28 - 2

= 26

Therefore, the range of the each data set has been found

Learn more about range here

brainly.com/question/13852939

#SPJ4

For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

know more about the conversion of mixed fraction

https://brainly.com/question/19318336

#SPJ1

30 combinations is the answer.

Step-by-step explanation:

Each meal comes with a choice of hamburgers, pizza, hot dogs , cheeseburgers or tacos means 5 options.

And a choice of root beer lemonade, milk , coffee, tea or cola means 6 options.

So, possible combination can be =  combinations.

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

Read more about combination at

brainly.com/question/11732255

#SPJ1

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

Read more about derivative at

https://brainly.com/question/5313449

#SPJ1

Applying partial quotient in this division 318 / 7gives

45.4286

A partial fraction is a strategy for employing partial quotients to solve huge division problems. The learner is able to view the issue less abstractly by adopting a more logical approach to it.

performing the partial quotient division

divisor    dividend     quotient     multiplication    subtraction  new dividend

7             318              40               7 * 40 = 280     318 - 280       38          

7             38                 5               7 * 5 = 35         38 - 35           3  

7             30                0.4             7 * 4 = 28         30 - 28           2

7             20                0.02            7 * 2 = 14       20 - 14             6

7             60                0.008          7 * 8 = 56       60 - 56          4

7             40                0.0005        7 * 5 = 35      40 - 35            5

7             50                0.00007        7 * 7 = 49      50 - 49           1

The quotient is then added as

40 + 5 + 0.4 + 0.02 + 0.008 + 0.0005 + 0.00007 = 45.42857....

= 45.4286 to four decimal place

the result of the divison is 45.4286 to four decimal place

Learn more about partial quotient here:

https://brainly.com/question/29230165

#SPJ1

The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.

Given two triangles.

Also given that, the scale drawings given are the reduction of the figure.

Most probably, the second triangle must be formed after a reduction with a scale factor of k.

Let k be the required scale factor.

The value of k can be found by taking the ratio of the corresponding sides.

k = 5.2 / 10.4

  = 0.5

So all the corresponding sides will be half of the first triangle.

x = 0.5 × 12.6

  = 6.3 feet

Hence the value of x is 6.3 feet.

Learn more about Scale Factors here :

https://brainly.com/question/29464385

#SPJ1