Mathematics High School

Select the correct answer. What is the sum of the first 17 terms of this arithmetic series? Use Sn=n(a1+an/2) .

-28 + (-13) + 2 + 17 + ⋯

A. 1,692 B. 1,564 C. 227 D. 212

Answers

Answer 1

Answer:

1564.

Step-by-step explanation:

First term = -28 and common difference = 15.

Sum = (17/2)(2*-28 + (17-1)15)

= 8.5 * 184

= 1564.

Related Questions

In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.

Answers

Answer:

341

Step-by-step explanation:

l=

sin52/320sin123

​ ≈340.572≈341

4 1/3 - 1 1/2

Subtract ROADBLOCK

Answers

Answer:

17/6

Step-by-step explanation:

Answer:

2 5/6

Step-by-step explanation:

4 1/3= 13/3

1 1/2= 3/2

lowest common denominator of 3 and 2 is 6 so:

13/3*2/2=26/6

3/2*3/3=9/6

26/6-9/6=17/6

17/6= 2 5/6

Need Help ASAP Will Mark Brainliest

Answers

Answer:

I only know where da first one goes lol

Step-by-step explanation:

8.333333333333.... can be denoted using a fraction, therefore it's a rational number. It turns out that irrational numbers cannot be denoted using simple fractions.

All of them are rational numbers accept the last two

Wich value of x is a solution of 5 x + 13 _ = _____ ? x 6

Answers

Answer:

ANSWER IS x = 2.6

[tex]5x + 13 = \: 2.6\times 6[/tex]

Step-by-step explanation:

[tex]5x + 13 \\ x = 13 \div 5 \\ x = 2.6[/tex]

Help! Please!
Factor the polynomial completely.
32z^5-2z

Answers

Answer:

2z(4z^2+1)(2z+1)(2z-1)

Step-by-step explanation:

here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.

hope this helps!

Answer:

2 z ( 4 z ^2 + 1 )( 2 z+ 1 ) ( 2 z − 1 )

Step-by-step explanation:

I NEED HELP ASAP PLEASE

Answers

Answer: The first one is a. the second is b. The third is c and the fourth is d. All of the answers are correct

Step-by-step explanation:

52 in
39 in
What is the length of the hypotenuse?
C =
inches

Answers

C, the hypotenuse is 65 in

Mary, Rachel, and Tommy went out for lunch. Mary
spend half of what Tommy spent. Rachel spend $12
less than what Tommy spent. Mary spent $8.50.
a) How much did Tommy spend? Explain how you got
your answer.

HELP
I got that they all spent 44.50 but I’m not sure...

Answers

Answer:

Tommy spent $17

Step-by-step explanation:

Mary spent half of what tommy spent. 8.50 x 2= 17

therefore tommy spent $17

Answer:

tommy spent $17

Step-by-step explanation:

8.50 X 2 is 17 and if Rachel spent $12 less than tommy did Rachel spent $5.

In total they spent $30.50

In 1978, a Japanese designer named Tomoyuki Ono grew the first cube-shaped watermelon.
The fruit is placed in a box when it is small, and it grows into the shape of the box. Akira
bought one of these cube-shaped watermelons at the market. The watermelon's edges were
11 inches long.
What was the volume of Akira's watermelon?
Write your answer as a whole number or decimal. Do not round.

Answers

Volume = length * width * height
Volume = 11*11*11
Volume = 1331 cubic inches

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles if the river current is 2 km/h (2 answers)

Answers

Answer:

Step-by-step explanation:

5 km/h or 6 km/h

Step-by-step explanation:

Let the speed of the boat be x

Speed against the current in the river is x - 2

Time in the river:

6/(x - 2)

Time in the lake:

15/x

The difference:

6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

Multiply both sides by x(x - 2) to clear the fraction:

6x = 15(x - 2) - x(x - 2)

6x = 15x - 30 - x² + 2x

x² - 11x + 30 = 0

(x - 5)(x - 6) =0

x -5 = 0, x - 6 = 0

x = 5 km/h, x = 6 km/h

Mai has $36 to spent on movie tickets. Each ticket cost $4.50. How many tickets can she buy?

Answers

Answer:

8 tickets

Step-by-step explanation:

To find how many she can buy, divide 36 by 4.5

36/4.5

= 8

So, Mai can buy 8 movie tickets

If, on their own, it takes 6 hours for Person A to complete a task and 9 hours for Person B to complete the same task, then how many hours would it take if they worked together? Estimate your answer to 4 places after the decimal, if necessary.

Answers

Answer:

Step-by-step explanation:

A does 1/6 of the task per hour.

B does 1/9 of the task per hour.

Together, they do 1/6+1/9 = 5/18 of the task per hour, finishing in 18/5 hours.

18/5 = 3.6 hours

Latoya is building a fence around her garden. For every 4 feet of fencing, the cost is $36.

Answers

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost: 36, 54, 63, 81, 90

Step-by-step explanation: I hope this gave you your answer!!

HELPPP I WILL GIVE YOU BRAINLIEST WALLAH

Answers

Answer:

78qt= 19.5 U.S. gallons

Step-by-step explanation:

22 x 2.4 please tell me what the estimated answer is

Answers

Answer:

52.8

Step-by-step explanation:

WILL GIVE BRAINLIEST! What is the angle formed by the line y=2x–1 and the x-axis?

Answers

Answer:

≈ 63.43°

Step-by-step explanation:

3. The table of values represents a polynomial function f(x). How much greater is the average rate of change over the interval [6, 8] than the interval [4, 6]?
x f(x)
4 105
5 384
6 945
7 1920
8 3465
9 5760

Answers

Answer:

367

Step-by-step explanation:

##CARRYONLEARNING

What operation does the expression "7y" mean?

Answers

Answer:

Multiplication

Step-by-step explanation:

7y means 7 times the value of y. So 7 times y = 7y

Find the values of x and y.

Answers

Answer:

y=180-63-63/2=27degree...in triangle mln

x=180-27-63=90....in triangle mon

Answer:

y=27, x=80

Step-by-step explanation:

∠N= 63°(angles opposite to equal sides)

2∠y+63+63=180°(angle sum property)

2∠y=54°

∠y=27°

27°+63°+∠x=180°(ASP)

∠x=180°-90°=90°

Hope it helps, mark me brainliest pls

Edwin has £300 in his savings account His bank offers him a fixed 5% simple interest rate per annum for a period of 3 years How much internet will he have earned after 3 years?

Answers

Answer: £45

Step-by-step explanation:

First find the amount of simple interest in on year:

= Amount * simple interest rate

= 300 * 5%

= £15

Now that you have the annual interest, the 3 year interest is:

= 15 * 3 years

= £45

Determine whether the given value is a solution of the equation.
b
6; b =78
13
78 (select) a solution.

is 78 the solution or not

Answers

Answer:

78 is a solution

Step-by-step explanation:

The given equation is b/13 = 6

Therefore, by applying the multiplication property of equality, we have by multiplying both sides by 13, we have;

b/13 × 13 = 6 × 13

The 13 in the denominator of b/13 divides the 13 in the multiplicand to give 1, and we get the following equation

b/13 × 13 = b × 1

Therefore;

b/13 × 13 = b × 1  = 6 × 13 = 78

b × 1 = 78

By the multiplicative identity property of '1', we get;

b × 1 = 1 × b = b

∴ b × 1 = b = 78

b = 78

∴ 78 is a solution of the equation.

The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?

Answers

13.3cm rounded to the nearest 10th

What is the slope of (-7,-1) (9,-9)

Answers

Answer:

-8/16 or -1/2

Step-by-step explanation:

Hi, use the slope-intercept formula (rise over run)

(y₂-y₁)/(x2-x1)

(-9--1)/(9--7)

(-9+1)/(9+7)

-8/16

-1/2

Solve the quadratic equation.
m^2/15 -3 = 2​

Answers

The answer is [tex] 5 \sqrt{3} [/tex]

Explanation :

[tex] \frac{ {m}^{2} }{15} - 3 = 2[/tex]

[tex] \frac{ {m}^{2} }{15} = 2 + 3[/tex]

[tex] \frac{ {m}^{2} }{15} = 5[/tex]

[tex] {m}^{2} = 5 \times 15[/tex]

[tex] {m}^{2} = 75[/tex]

[tex]m = \sqrt{75} [/tex]

[tex]m = \sqrt{25 \times 3} [/tex]

[tex]m = \sqrt{25} \times \sqrt{3} [/tex]

[tex]m = 5 \sqrt{3} [/tex]

CMIIW

HELP!

y = 2.5x + 5.8
when x = 0.6

Answers

Answer:

[tex]y = 7.3[/tex]

Step-by-step explanation:

y = 2.5(0.6) + 5.8
y = 1.5 + 5.8
y = 7.3

Find the equation of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

as y goes up 2 x goes up 1

Y=2x because if you make t table you’ll see the slope is 2 and the line begins at 0 so the y intercept is 0

54 out of the 90 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?

I need help ASAP PLEASE!!!!

Answers

54/90= 0.6 * 100%= 60%
The answer is 60%

Can yalllll plllllssss hellppp meeee

Answers

Ummm .... the answer is D

Give the vertex on the following graph, state whether it is a minimum or maximum?
Answer:
Pls

Answers

Answer:

maximum- (-3,5)

Step-by-step explanation:

The classroom at Lincoln Middle school are painted every summer.If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint 16 classrooms

Answers

Answer:

Step-by-step explanation:

16c(7g/4c)=28g

28 gallons hope this helps
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