Question 14
The function sin) = 2n - 5 represents the value of the nth term in a sequence. What is the sum of the 1st and 6th terms of the sequence?

Answer:

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Total number of cups used

The number of dot on each dataset represent the number of student

So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item

So, we have:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]

[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]

Solve

[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]

[tex]Total = \frac{89}{8}[/tex]

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

Answer:

area of circle=π[tex]r^{2}[/tex]

=3.14*(6)^2

=3.14*36

=113.04 cm^2

perimeter of circle=2πr

=2*3.14*6

=37.68 cm

Step-by-step explanation:

Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself

Answer:

I believe that the answer is B

Step-by-step explanation:

Answer: what what! Confused

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

Answer:

x= 51.3

x=35.1

Step-by-step explanation:

10.)

For this one we have the adjacent side and the hypotonouse

Which means we'll use CAH

cos(x)=25/40

x= 51.31781255

(assuming that we have to round to the nearest tenth again)

x=51.3

12.)

For this one we have the adjacent and hyptonouse

we'll use CAH again

cos(x)=27/33

x= 35.09680123

x=35.1

Answer:

33.12 square feet

Step-by-step explanation:

Step 1

We convert the dimensions to feet

1 cm = 0.0328084 feet

Length = 114cm

Hence

114 cm = 114 × 0.0328084 feet

= 3.74016 feet

≈ 3.7 feet

Height = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Depth(width) = 56cm

Hence

56 cm = 56 × 0.0328084 feet

= 1.83727 feet

≈ 1.8 feet

Step 2

The surface area of the rectangular prism

A=2(wl+hl+hw)

=2× (1.8×3.7+ 1.8×3.7 + 1.8 ×1.8)

≈33.12 square feet

Answer:

a) 16/36 b)20/36

Step-by-step explanation:

16 + 20 = 36

36 = how many people are in the class all together

Sorry if it is wrong

Answer:

The answer that I got for mine was 40%

Step-by-step explanation:

This is because there were 10 trials and 4 of the trials had rain. so 40 percent of the trials had rain. Hope it helps!

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

Answer:

17

Step-by-step explanation:

34/2 because the measure of the arc is half of what it would normally be because it touched the other side

Answer:

a quantity calculated to indicate the extent of deviation for a group as a whole.

Step-by-step explanation:

t1ts

Answer:

k=5

Step-by-step explanation:

[tex]f(x)=x^2-6x+14[/tex]

[tex](\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9[/tex]

[tex]f(x)-5=x^2-6x+9[/tex]

[tex]f(x)-5=(x-3)^2[/tex]

[tex]f(x)=(x-3)^2+5[/tex]

[tex]k=5[/tex]

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

Check

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

Answer:

;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN

Step-by-step explanation:

Answer:

1/2 and 3

Step-by-step explanation:

The quadratic formula is as given:

 (  -b±√(b^2-4ac)  )/2a

To use it, plug in the a,b and c values.

ax^2+bx+c

In this case a is equal to 2, b is equal to -7, and c is equal to 3

plugging it into our formula gives us:

(-(-7)±√(-7^2-4*2*3)  )/2*2

Which is equal to:

7±√(49-24) / 4

= 7±√25 / 4

=7±5 / 4

=2/4, 12/4= 1/2, 3

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:

b=30

Step-by-step explanation:

Answer:

7 11/12

Step-by-step explanation:

3 2/3 + 4 1/4 = 3 8/12 + 4 3/12 = 7 11/12

Answer:

2.5h=20

Step-by-step explanation:

:D

Answer:

150%

Step-by-step explanation:

Percent change =   [tex]\frac{New - Old}{|Old|}[/tex] × 100%

=> [tex]\frac{10000-4000}{4000}[/tex] × 100

=> [tex]\frac{6000}{4000}[/tex] × 100 = 150% (increase)