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2 years ago

A culture started with 1,000 bacteria. After 4

Mathematics

2 answers:

amid [387]2 years ago

7 0

i realized my answer is wrong.

sammy [17]2 years ago

6 0

Answer:

1331 bacteria

Step-by-step explanation:

Number bact = 1000 e^kt

1100 = 1000 e^k4

shows k = .023827545

Now for 12 hours

x = 1000 e^(.023827545 * 12)

= 1331

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1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

Step-by-step explanation:

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

Proof LHS → RHS

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

4 years ago

Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!

gtnhenbr [62]

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

4 0

2 years ago

Read 2 more answers

. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa

MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

$CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}$

Substitute the respective values.

$CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}$

$CI=303\pm 28.68$

$CI=274.32\ or\ 331.68$

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0

4 years ago

Tim has 5 yellow and 10 blue marbles in a bag. What is

Ilya [14]

Answer:

1/2 chance

Step-by-step explanation:

5 and 10 can be divided down to 1/2

4 0

3 years ago

Which inequality can be used to find how many $0.35 pencils can be purchased for $5.00?

stira [4]

Answer:14

Step-by-step explanation:0.35 times 14 equals 4.9

7 0

3 years ago