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ValentinkaMS [17]
3 years ago
6

Write an explicit formula for the following sequence. Then generate the first five terms.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
Nth term an  = a1 r^(n-1) 
                    = 512 (0.5)^(n-1)   Answer

First 5 terms are:-

 512 , 256 , 128, 64 , 32
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A region with a 10-mile radius has a population density of about 1500 people per square mile. Find the number of people who live
riadik2000 [5.3K]

The total population in the region is 942000

<u>Step-by-step explanation:</u>

Radius of the region= 10 miles

Population density= 1500 per square mile

Area of the region = 2π(r x r)

= 2π(10 x 10)

=2(3.14) (100)

= 628 square miles

Population = 1500 x 628

= 942000

The total population in the region is 942000

6 0
3 years ago
I need to find the surface area for this one pls help me
Alex

Step-by-step explanation:

so, you got the volume but don't know how to find the surface area ? that is strange for me. what's the problem ?

the surface of a cube or rectangular prism consists of 6 sides that split (for a rectangular prism) into 3 pairs of equal sides :

top and bottom

left and right

front and back

all we need to do is calculate the areas of these 6 rectangles and add them up. that's it.

in our case

top and bottom : 5×4 × 2 = 20×2 = 40 in²

left and right : 4×4 × 2 = 16×2 = 32 in²

front and back : 5×4 × 2 = 40 in²

so, in total, the whole surface area of the prism is

40 + 32 + 40 = 112 in²

4 0
2 years ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
Please help!!!! D:<br><br>(grades 7-8 probability)​
dmitriy555 [2]

Answer:

1/4 ch a chance of a car any color

Step-by-step explanation:

if you only have 4 cars and they are different colors, you get 1/4 chance to pick one

6 0
3 years ago
Find two consecutive whole numbers that 52 lies between.
tensa zangetsu [6.8K]
<span>Think about which perfect squares lies on the immediate left of 52 and which lies on the immediate right of 52. 49 ---- 52 ------- 64 After that, take the square roots of each of the three numbers.</span>
3 0
3 years ago
Read 2 more answers
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