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2 years ago

What is 21 1/2‐6 1/2

Mathematics

1 answer:

snow_tiger [21]2 years ago

4 0

Answer

Step-by-step explanation:

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A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16

bixtya [17]

Answer:

$6,430\ bacteria$

Step-by-step explanation:

we have a exponential function of the form

$y=a(1+r)^{x}$

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

$y=3,000(1+r)^{x}$

For x=2, y=3,300

substitute

$3,300=3,000(1+r)^{2}$

$(3,300/3,000)=(1+r)^{2}$

Apply square root both sides

$1+r=\sqrt{3.3/3}$

$r=\sqrt{3.3/3}-1$

$r=0.0488$

$r=4.88\%$

substitute in the equation

$y=3,000(1+0.0488)^{x}$

$y=3,000(1.0488)^{x}$

Predict how many bacteria will be present after 16 hours

For x=16 hours

substitute

$y=3,000(1.0488)^{16}$

$y=6,430\ bacteria$

6 0

2 years ago

3(2x+1)=7-2(x+5) Can you please show me how to solve this step by step please

Talja [164]

3(2x+1) = 7-2(x+5)
6x+3 = 7-2x-10
-3 -3
6x = 7-2x-10-3
+2x +2x
8x = -6
---- -----
8 8
x = -3/4

8 0

2 years ago

1. When you measure the length of an object to the eighth of an inch and again to the fourth of an inch, which measurement is mo

sladkih [1.3K]

Answer:

The eighth of an inch scale measures more precisely.

Step-by-step explanation:

An eighth of an inch means that one inch is divided into 8 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{8} =0.125$ inch.

Again a fourth of an inch means that one inch is divided into 4 equal lengths on the scale i.e. the minimum length that can be measured is $\frac{1}{4} =0.25$ inch.

Therefore, the eighth of an inch scale measures more precisely as it can measure more small measurements. (Answer)

6 0

2 years ago

-3x+3y=3 -5x+y=13 Solve for substitution

vladimir1956 [14]

Take -5x + y =13 and rearrange for y:
y=13+5x

Substitute into other equation for y:
-3x+3(13+5x)=3

Multiply out brackets:
-3x+39+15x=3

Simplify:
12x+39=3

Rearrange for x:
12x=-36
x=-3

Substitute back into y=13+5x:
y=13+5(-3)
y=13-15
y=-2

8 0

3 years ago

True or false: when comparing two populations, the larger the standard deviation, the more dispersion the distribution has,

SOVA2 [1]

True, because the standard deviation describes how far, on average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical value, and therefore, more dispersed.

6 0

2 years ago

What is 21 1/2‐6 1/2​

What is 21 1/2‐6 1/2