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vodka [1.7K]
3 years ago
5

Which symbol makes the number sentence true? -3.5__ 14/4 (< = >)

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

it's =

hope this helps

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Are the expressions 12a + (6+3a) and 3(5a + 2) equivalent show your work and explain
bezimeni [28]
12a + 6 + 3a = 15a + 2
15a = 15a - 4
0 = - 4
8 0
3 years ago
Read 2 more answers
NEED ANSWERED ASAP WILL REWARD BRAINLIEST
Luda [366]

Answer:

The sum of the first 100 terms is 60400

Step-by-step explanation:

* Lets revise the arithmetic sequence

- There is a constant difference between each two consecutive

  numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….

# 5  ,  10  ,  15  ,  20  ,  …………………………

# 12  ,  10  ,  8  ,  6  ,  ……………………………

* General term (nth term) of an Arithmetic sequence:

- U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- Un = a + (n – 1)d, where a is the first term , d is the difference

 between each two consecutive terms n is the position of the

 number

- The sum of first n terms of an Arithmetic sequence is calculate from

 Sn = n/2[a + l], where a is the first term and l is the last term

* Now lets solve the problem

- We will use method (1)

- From the table the terms of the sequence are:

 10 , 22 , 34 , 46 , 58 , 82 , 94 , ............., where 10 is the first term

∵ an = a1 + (n - 1) d ⇒ explicit formula

∵ a1 = 10 and a2 = 22

∵ d = a2 - a1

∴ d = 22 - 10 = 12

- The 100th term means the term of n = 100

∴ a100 = 10 + (100 - 1) 12

∴ a100 = 10 + 99 × 12 = 10 + 1188 = 1198

∴ The 100th term is 1198

- Lets find the sum of the first 100 terms of the sequence

∵ Sn = n/2[a1 + an]

∵ n = 100 , a = 10 , a100 = 1198

∴ S100 = 100/2[10 + 1198] = 50[1208] = 60400

* The sum of the first 100 terms is 60400

7 0
3 years ago
After reading the problem what are you ask to do?
kipiarov [429]

After reading the problem, you are often asked to solve it.

4 0
3 years ago
Read 2 more answers
A new bank customer with $ 3,500 wants to open a money market account. The bank is offering a simple interest rate of 1.7%. to.
julsineya [31]

Answer:

a. $2,303.59

b. $5,803.59

Step-by-step explanation:

A = P(1 + r)^t

A = 3500(1.017)^30

A = 5803.59

6 0
3 years ago
A 10-foot ladder touches the side of a building at a point 8 feet above the ground. At what height would a 22-foot ladder touch
WARRIOR [948]
<h2>Answer:</h2>

8.75 feet

<h2>Step by step:</h2>

Given that a 12 foot ladder leans against a building seven feet above the ground.

By using trigonometry ratio, the angle between the ladder and the ground will be

SinØ = opposite/ hypothenus

SinØ = 7 / 12

SinØ = 0.58333

Ø = Sin^-1(0.58333)

Ø = 35.69 degree

At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?

Using the same trigonometric ratios

SinØ = opposite/hypothenus

Sin 35.69 = opposite/ 15

Cross multiply

Opposite = 15 × sin 35.69

Opposite = 8.75 feet

Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.

6 0
3 years ago
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