Mathematics High School

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?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Using the nth term formula

a₁ = 2(1) - 5 = 2 - 5 = - 3

a₆ = 2(6) - 5 = 12 - 5 = 7

Then

a₁ + a₆ = - 3 + 7 = 4

Related Questions

Carl's class is collecting canned food for a food drive. If the class collects 3 2/3 pounds on the first day and 4 1/4 pounds on the second day, how many pounds of food have they collected so far?

Answers

Answer:

7 11/12

Step-by-step explanation:

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

A storage bin is a rectangular prism that measuring 114 cm long by 56 cm high by
56 cm deep. What is the surface area of the exterior, in square feet?

Answers

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

Given square ABCD, what is the length of AD?

Answers

since it's a square, all sides are equal
therefore,
3x - 5 = x + 1
2x = 6
x = 3

sub x into AD, which is 3x-5
= 3(3) - 5
= 9 - 5
= 4

therefore AD is 4 units

Giving brainliest awnser if you help me with this

Answers

The first option and the last option :)

What is the percent of increase from 4,000 to 10,000?

Answers

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)

HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

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]

Find each angle or arc measure

Answers

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

A class has 16 boys and 20 girls. A prefect is to be chosen from the class. If
each student is equally likely to be chosen, calculate the probability that the
selected prefect is:
(a) a boy (b) a girl

Answers

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

help me plzz please please please​

Answers

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.

The answer is 18. 360 divided by 20 will give you 18 hence the 360 is the sum of all exterior angles

kim rented skates for h hours.The rental free was $2.50 per hour. she paid a total a 2.5h=20 b 1.5h=10 c 1.5h=20 d 2.5h=10l of $20

Answers

Answer:

2.5h=20

Step-by-step explanation:

:D

Help me with this math problem

Answers

Answer:

I believe that the answer is B

Step-by-step explanation:

The domain is all your x’s while range is all your y’s so therefore the answer should be B.

what does standard devitation mean?

Answers

Answer:

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

Step-by-step explanation:

t1ts

Please a correct answer gets brain thing that I forgot it name please help

Answers

Answer:

;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN

Step-by-step explanation:

12345678910112131415161718192021212223242526272829303132333435363738394041424344454647484950

Answers

Answer: what what! Confused

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?

Answers

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]

trig questions above solve for x and round to the nearest tenth

Answers

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

Make the expression below a perfect square by adding in a constant value: x^2+14x+_

Answers

[x^2 + 14x + (1/2•14)^2] - (1/2•14)^2

= [x^2 + 14x + (7)^2] - (7)^2

= (x+7)^2 - 49

If you need an explanation as to how, you can go ahead and ask

someone, please help !! these are direct and inverse variations, algebra 2. i need them asap !

Answers

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.

1.35b = 40.5
what is the value of b ?

Answers

Answer:

b=30

Step-by-step explanation:

PLEASE HELP NOT WILL HELP ME :,(
I'll make brainliest and give extra points

The following cone has a height of 4 inches and a volume of 12π. 4 in. What is the radius of the cone?​

Answers

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

Calculate the perimeter and the area. Can yall help and if you could show the steps

Answers

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:

Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2

Answers

i think its 1,560 because you have to multiple the top which is 10 to the bottom but the bottom one is not the same shape as the top and for the middle you multiple 12 because their the same shape and for the bottom their the same shape as well.

ONCE AGAIN, HELP MEEEEEEE UDIHTJGAJHDAKMDHJ


(i am not the brightest lol)

Answers

The answer is 11 cubic cm

pls read and help me
given conversion factor 12in/1ft what is the above line segments unit of measure in inches round your answer to the nearest tenth

Answers

Answer:The correct answer is 75.6

Step-by-step explanation:

because i took the quiz myself

bestiess helpssss plsss​

Answers

Hopes this helps:

Answer:

1. 9x^2

2. 2401x^28y^8

3. 625a^16b^8

Please mark as brainlist if it’s right.

Simran used a simulation to predict the number of days of rain in his town. A number 1 or 2 indicates a week in which it rained. Numbers 3, 4, or 5 indicate a week in which it did not rain. The results of the simulation are shown above. What is the experimental probability that it will rain in Simran’s town in at least 1 of the next 4 weeks?

Answers

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!

I need help quick. ASAP.​

Answers

It’s 1/2 (now I’m going to write random stuff because it says it has to be at least 20 letters jehdhsjdbdjeiksjejdi)

95 - 3/4 what is the value of the expression

Answers

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

How to solve the expression?

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

Use the Quadratic Formula
Use the Quadratic Formula to find the zeros of the given
expression. Be sure to show your steps!
2x2-7x+3
Plz help no links

Answers

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

Help pleaseeeeeeeeee

Answers

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

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