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oee [108]
3 years ago
5

Can someone explain how the answer to #14 is 7/8 in;0.875 in.

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Hello!

That one inch is divided into eight even sections.

Look at the distance between where the insect's length ends and the "1". That space in between is how long each section is. It takes eight of those to make up one inch. The insect's length take up seven of the eight sections - almost an inch. So, the length of the insect is 7/8 in.

As for 0.875, that's the decimal form of the fraction. It means the same thing.

You might be interested in
Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0
3 years ago
Subtract 23.4 − 8.78 =_____
Alona [7]
<span>14.62 super simple, good luck with any other questions!</span>
5 0
3 years ago
Read 2 more answers
Geneva rode her bike a total of 2 1/2 miles from her house to school. First she rode 4/5 mile from her house to the park. Then s
Sonja [21]
Add 4/5 and 1/5 to make 5/5 or 1 mile the subtract 1 from 2 1/2 to equal 1 1/2 miles
8 0
3 years ago
1. A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2+ 450.
bezimeni [28]
1) The ball's position is described by:
s(t) = 4.9t² + 450
We want to find the velocity, which is the 1st-order derivative of the displacement function (I assume this is an introductory calculus class)
s'(t) = v(t) = 9.8t           
We get this by multiplying 4.9 x 2 and reducing the exponent by 1. Now we simply plug 5 in for t.
v(5) = 9.8* 5
v(5) = 49m/s

2) Our cost function is C(x) = x² - 10,000
To find the average rate of change between these units, we use this formula:
( C(101) - C(100) ) ÷1 .
We find the change in C, and divide by the change in x, which is just one. 
C(101) = 101² - 10,000
C(101) = 201

C(100) = 100² - 10,000
C(100= 0

C(101) - C(100) = 201 
Average rate of change in cost is 201 dollars/ unit between the two points. 
7 0
3 years ago
Please answer correctly
Dovator [93]

Answer:

46656

Step-by-step explanation:

Also, you should use the app cymath.

6 0
3 years ago
Read 2 more answers
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