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jeyben [28]
3 years ago
15

Prove that 2n + 1 ≤ 2n for n ≥ 3

Mathematics
1 answer:
ohaa [14]3 years ago
3 0
In order for something to be proven, there can be no counterexamples to prove it false.

4 \geq 3 \\ n=4 \\ 2(4)+1 \leq 2(4) \\ 8+1 \leq 8 \\ 9 \leq 8

9 is not greater than or equal to 8, therefore this statement is false.
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Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t
allochka39001 [22]

Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

45 x = 135

x = 3

It would take 3 months for Kira to buy 10 acres of land

4 0
3 years ago
Select ALL the correct answers,
Margaret [11]

Answer:

The second and third

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Im not really sure ugh
tekilochka [14]

Answer:

I am not sure either

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In ΔBCD, the measure of ∠D=90°, DC = 16, CB = 65, and BD = 63. What ratio represents the cosine of ∠B?
Alisiya [41]

Answer:

15:17

Step-by-step explanation:

Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that ∠D=90°,

BD is the adjacent side

CB is the hypotenuse side

and DC is the opposite side

Hence Sin B = 15/17

8 0
2 years ago
Read 2 more answers
Based on the graph, which statement BEST describes what is happening to the temperature over time?( picture 1 )
kotykmax [81]
Number 1 is A, number 2 is B number three is D
5 0
2 years ago
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