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Nataliya [291]
4 years ago
13

Find the first six terms of the sequence.

Mathematics
2 answers:
sashaice [31]4 years ago
3 0

4, 8, 16, 32, 64, 128

hope this helps :P

nirvana33 [79]4 years ago
3 0

Answer: 4,8,16,32,64,128

Step-by-step explanation:-

Given: The first term of sequence=a_1=4

The given explicit rule for nth term is

a_n=2\cdot a_{n-1}

Now, the second term =a_2=2\cdot a_{2-1}=2\cdot a_{1}=2(4)=8

The third term =a_3=2\cdot a_{3-1}=2\cdot a_{2}=2(8)=16

The fourth term =a_4=2\cdot a_{4-1}=2\cdot a_{3}=2(16)=32

The fifth term =a_5=2\cdot a_{5-1}=2\cdot a_{4}=2(32)=64

The sixth term =a_6=2\cdot a_{6-1}=2\cdot a_{5}=2(64)=128

Hence, the  first six terms of the sequence are 4,8,16,32,64,128

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AysviL [449]

Answer:

<u>Question 1</u>

F

T

T

The volume of figure A can be found by multiplying (5 · 7)(2).

<u>Question 2</u>

T

T

F

The total volume of the figure is 442 mm³

<u>Question 3</u>

T

F

T

The volume of the triangular prism is 108 in³

Step-by-step explanation:

<u>Formula used</u>

Volume of a prism = base area × height

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Volume of a cube = s³  (where s is the side length)

---------------------------------------------------------------------------------------------------

<h3><u>Question 1</u></h3>

⇒ Volume of Figure A = (5 · 7)(2)

                                     = 70 cm³

⇒ Volume of Figure B = (13 · 7)(2)

                                     = 182 cm³

⇒ Total Volume = Volume of Figure A + Volume of Figure B

                           = 70 + 182

                           = 252 cm³

The first statement is false.

<u>Rewritten statement</u>:

The volume of figure A can be found by multiplying (5 · 7)(2).

---------------------------------------------------------------------------------------------------

<h3><u>Question 2</u></h3>

⇒ Volume of rectangular prism = (15 · 15)(2)

                                                    = 450 mm³

⇒ Volume of central cube = 2³

                                            = (2 · 2 · 2)

                                            = 8 mm³

⇒ Total Volume = Volume of rectangular prism - Volume of cube

                           = 450 - 8

                           = 442 mm³

The third statement is false.

<u>Rewritten statement</u>:

The total volume of the figure is 442 mm³

---------------------------------------------------------------------------------------------------

<h3><u>Question 3</u></h3>

⇒ Volume of rectangular prism = (12 · 3)(8)

                                                    = 288 in³

⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)

                                                 = 108 in³

⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism

                           = 288 + 108

                           = 396 in³

The second statement is false.

<u>Rewritten statement</u>:

The volume of the triangular prism is 108 in³

7 0
2 years ago
addison was given a gift card for a coffee shop. each morning, addison sues the card to buy one cup of coffee. each cup costs $3
Ray Of Light [21]

Answer:

A = amount left

so i think the answer could be:

A=9-3x

4 0
3 years ago
help! I need an answer to this question, I also need to know HOW to solve it, so that I'm able to do the other questions on my o
soldier1979 [14.2K]

Answer:

What grade?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the inequality.<br> - 5x &gt; 25
Natalija [7]

Answer and Step-by-step explanation:

Divide -5 from both sides of the inequality.

<u>x < -5 is the answer.</u>

<u></u>

<em>Here's Why:</em>

If you were to add 5x to both sides, it results in this:

0 > 25 + 5x

Now, we subtract 25 from both sides.

-25 > 5x

When we divide 5 from both sides, we see that it results in -5 > x, which is the same as x < -5.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

6 0
3 years ago
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Tell if the measures 6, 14, and 13 make a triangle that is acute, right, or obtuse.
ycow [4]

Right angle - c²=a²+b²

Obtuse angle - c²>a²+b²

Acute angle - c²<a²+b²

To see which ones go into a, b, and c, know that the largest number is the hypotenuse (variable c). The other two letters can be either a or b, so it doesn't matter which place they are put it because you will get the same answer.

right angle 14²=6²+13²

196=36+169

196≠205

-----------------------

obtuse angle 14²>6²+13²

196>36+169

196>205 is false

-----------------------

So since it is not a right angle or an obtuse angle, that means that it's a right angle because it's the only option left. Though we now know that's the answer, I will still put down the steps.

acute angle 14²<6²+13²

196<36+169

196<205 is true so it's an acute triangle.

Hope this helps, now you know the answer and how to do it. Stay safe and healthy and HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

5 0
3 years ago
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