All categories

2 years ago

2

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

Answer:

B. 4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

an = a1 +d(n -1)

an = 69 +6(n -1)

Then the 28th term is ...

a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

sum = 28×150= 4200

You might be interested in

What is the inequality -26

lilavasa [31]

-26 is not an inequality. It's just a number. Maybe there was
another part of it that you forgot to copy.

3 0

3 years ago

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

Hence, the rate of decrease is: 43.2mm^3/min

8 0

3 years ago

Find the measure of Angle 2. measure of angle 1 = x measure of angle 2 = x-6

eduard

m∠3 = 180 -(x + x - 6 )
= 180 - 2x + 6
= 186 - 2x

7 0

3 years ago

Read 2 more answers

How do I find the answer to m

ICE Princess25 [194]

Set the angles equal because they are vertical angles

150=5m
30=m (divide both sides by 5)

8 0

3 years ago

Answer all of them please easy math questions for 20 points

MissTica

1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35

4 0

3 years ago