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2 years ago

I have two questions

Mathematics

2 answers:

Elza [17]2 years ago

8 0

Answer:

1. 40%

2. 56.25%

Step-by-step explanation:

1. N% of 15 = 6

N/100 x 15 =6

N = (6 × 100)/15

N = 40

2.N% of 32 = 18

N/100 x 32 = 18

N = (18 x 100) /32

N= 56.25

MA_775_DIABLO [31]2 years ago

6 0

Answer for question 1 is Percentage Calculator: 6 is what percent of 15? = 40.

Answer for question 2 is What is 18 percent (calculated percentage %) of number 32? Answer: 5.76.

hope it helps. Please mark me Brainleist please.

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Your birds drink 8 1/3 ounces of water a day. How many ounces of water do they drink in 6 days?

Novay_Z [31]

50 ounces

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2 years ago

Jennie makes quilts. She can make 7 quilts with 21 yards of material. How many yards of material would be required to make 12 qu

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$\frac{7}{21} = \frac{12}{yards} \\ \\ 7*yards=21*12 \\ \\ 7yards=252 \\ \\ yards=36$

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3 years ago

Read 2 more answers

A bacteria culture starts with 400 bacteria and grows at a rate proportional to its size. After 4 hours, there are 9000 bacteria

Kaylis [27]

Answer:

A) The expression for the number of bacteria is $P(t) = 400e^{0.7783t}$ .

B) After 5 hours there will be 19593 bacteria.

C) After 5.55 hours the population of bacteria will reach 30000.

Step-by-step explanation:

A) Here we have a problem with differential equations. Recall that we can interpret the rate of change of a magnitude as its derivative. So, as the rate change proportionally to the size of the population, we have

$P' = kP$

where $P$ stands for the population of bacteria.

Writing $P'$ as $\frac{dP}{dt}$ , we get

$\frac{dP}{dt} = kP$ .

Notice that this is a separable equation, so

$\frac{dP}{P} = kdt$ .

Then, integrating in both sides of the equality:

$\int\frac{dP}{P} = \int kdt$ .

We have,

$\ln P = kt+C$ .

Now, taking exponential

$P(t) = Ce^{kt}$ .

The next step is to find the value for the constant $C$ . We do this using the initial condition $P(0)=400$ . Recall that this is the initial population of bacteria. So,

$400 = P(0) = Ce^{k0}=C$ .

Hence, the expression becomes

$P(t) = 400e^{kt}$ .

Now, we find the value for $k$ . We are going to use that $P(4)=9000$ . Notice that

$9000 = 400e^{k4}$ .

Then,

$\frac{90}{4} = e^{4k}$ .

Taking logarithm

$\ln\frac{90}{4} = 4k$ , so $\frac{1}{4}\ln\frac{90}{4} = k$ .

So, $k=0.7783788273$ , and approximating to the fourth decimal place we can take $k=0.7783$ . Hence,

$P(t) = 400e^{0.7783t}$ .

B) To find the number of bacteria after 5 hours, we only need to evaluate the expression we have obtained in the previous exercise:

$P(5) =400e^{0.7783*5} = 19593.723 \approx 19593$ .

C) In this case we want to do the reverse operation: we want to find the value of t such that

$30000 = 400e^{0.7783t}$ .

This expression is equivalent to

$75 = e^{0.7783t}$ .

Now, taking logarithm we have

$\ln 75 = 0.7783t$ .

Finally,

$t = \frac{\ln 75}{0.7783} \approx 5.55$ .

So, after 5.55 hours the population of bacteria will reach 30000.

6 0

3 years ago

Enter the next three numbers of the repeating decimal produced by the

Tanya [424]

Answer:

The next three numbers are; 2,8, and 5.

Step-by-step explanation:

7 0

2 years ago

What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3

alukav5142 [94]

2(x-6)=3(x+3)

Let's solve your equation step-by-step.

2(x−6)=3(x+3)

Step 1: Simplify both sides of the equation.

2(x−6)=3(x+3)

Simplify: (Show steps)

2x−12=3x+9

Step 2: Subtract 3x from both sides.

2x−12−3x=3x+9−3x

−x−12=9

Step 3: Add 12 to both sides.

−x−12+12=9+12

−x=21

Step 4: Divide both sides by -1.

−x/−1=21/−1

x=−21

Answer:

x=−21

8 0

2 years ago