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3 years ago

15

Use the number line to compare the numbers.

1 answer:

aniked [119]3 years ago

7 0

First of all if it is increasing then then it would start at the negative numbers. First is -1.2 second is 1/5 then it is 0.5 and finally 3/5

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The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese

nordsb [41]

Answer: 1.67 hours.

Explanation:

1) Function that models the number of bacteria:

$B(t)=B_0(10)^{2t}$

2) Bo = 25, then the function is:

$B_0=25(10)^{2t}$

3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:

i) start

$55000=25(10)^{2t)$

ii) division property

$2200=10^{2t}$

iii) antilogarithm property

$2t = log_{10}2200$

iv) division property

$t=\frac{log_{10}2200}{2}$

v) Due the operations:

t = 1.67 hours.

Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).

3 0

2 years ago

If one side of a square notebook measures 20 cm, what is the area of the front cover of the notebook?

nexus9112 [7]

Answer:

400cm

Step-by-step explanation:

8 0

2 years ago

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be

Scorpion4ik [409]

Answer:

The dimensions of the rectangular box, x = y = z = 0.817 cm

Step-by-step explanation:

Given;

total surface area of the rectangular box or cuboid = 4 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions, x, y, z

x = y = z

6x² = 4

x² = 4/6

$x =\sqrt{\frac{4}{6} }\\\\ x = \frac{2}{\sqrt{6} } \ cm \ = 0.817 \ cm$

Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm

7 0

3 years ago

Triangle ABC is a right triangle.

mina [271]

Answer:

They are complementary.

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

where

A,B and C are the measures of the interior angles of triangle

In a right triangle

The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees

so

A+B+90°=180°

A+B=180°-90°

A+B=90°

Remember that

If two angles are complementary, then their sum is equal to 90 degrees

therefore

A and B are complementary angles

3 0

3 years ago

Read 2 more answers

3x-2y=-5 and 4x+2y=-16

podryga [215]

Answer:

x=-22/4

y=-3

Step-by-step explanation:

3x-2y=-5

4x+2y=-16

we <u>add</u> the equation

7y=-21

y=-3

then we find the x by taking a random equation

I take 4x+2y=-16

4x+2(-3)=-16

4x-6=-16

4x=-22

x=-22/4

7 0

3 years ago