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Ksenya-84 [330]
4 years ago
12

What is the slope of the line represented by the equation y=- 1/2x + 1/4

Mathematics
1 answer:
Andreyy894 years ago
8 0

Answer:

-1/2x

Step-by-step explanation:

-1/2x represents the slope because it shows that the line is going down 1/2 every x. 1/4 would be where the line started or the y-intercept.

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The growth of a sample of bacteria can be modeled by the function bt=1001.06t where b is the number of bacteria and t is time in
alukav5142 [94]

Given:

The growth of a sample of bacteria can be modeled by the function

b(t)=1001.06t

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

b(t)=1001.06t

where, b is the number of bacteria and t is time in hours.

Substituting t=3, we get the number of total bacteria after 3 hours.

b(3)=1001.06(3)

b(3)=3003.18

Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.

b(3)\approx 3003

Therefore, the number of total bacteria after 3 hours is about 3003.

7 0
3 years ago
What is the least possible degree of a polynomial that has roots -5, 1+4i, and -4i
N76 [4]
If complex coefficients are allowed, the answer is 3.

If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.

Root -5 is real, so that is 1 root, and degree 1.

Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.

Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.

Answer: The least possible degree is 5 with real coefficients.
3 0
3 years ago
The graph shows the solution to which inequality <br> y&gt;2/3x+1
igor_vitrenko [27]

Answer:

 The graph shows the solution to which inequality y>2/3x+1.

Step-by-step explanation:

hope that helps

4 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.
lakkis [162]
The "cylinder" has a diameter of 6, and therefore its radius is half that, or 3, thus

\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h~~&#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=3\\&#10;h=11&#10;\end{cases}\implies V=\pi (3)^2(11)\implies V=99\pi
6 0
3 years ago
Solve the equation for 2k = -10
Kisachek [45]

Answer:

K=-5

Step-by-step explanation:

2(-5)=-10

8 0
4 years ago
Read 2 more answers
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