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3 years ago

What value will x have to for the first number to reach zero 153•0.92^x

Mathematics

1 answer:

guapka [62]3 years ago

5 0

Answer:

Step-by-step explanation:

153•0.92^x is a decaying exponential function.

In theory these functions never reach zero.

Suppose that you were willing to change the problem to read:

"What value will x have to for the first number to come within 0.0001 of zero?" Solve 153•0.92^x = 0.0001.

To do this, take the common log of both sides, obtaining

log 153 + x*log 0.92 = log 0.0001

Note that log 0.0001 = -4; log 153 = 2.18469; and log 0.92 = -0.03621.

Then we have:

2.18469 + x(-0.03621) = - 4.

Isolate the 2nd term. To accomplish this, subtract 2.18469 from both sides, obtaining:

-0.03621x = -6.18469

Isolate x by dividing both sides by -0.03621:

x = 170.8

This tells us that as x approaches +179, the quantity 153·0.92x will be within 0.0001 of zero.

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A box contains 1414 large marbles and 1111 small marbles. Each marble is either green or white. 66 of the large marbles are gree

Luba_88 [7]

Answer:

0.9739

Step-by-step explanation:

We have 1111+1414=2525 marbles, and

44 small white matbles and

1414-66=1348 big white marbles.

So we have 44+1348=1392 white marbles.

The probability to choose small marbles is P(s)=1111/2525=0,44

The probability to choose white marbles is:

P(w)=1348/2525=0,5513.

The probability to choose small and white is:

P(s and w)=44/2525=0,0174

The probability to choose small or white is:

P(s or w)= P(s)+P(w)-P(s and w)=0,44+0,5513-0.0174=0,9739

6 0

3 years ago

A chicken casserole recipe serves 12

Musya8 [376]

Answer:

4.5 cups of spinach

Step-by-step explanation:

we know that

The recipe serves 12 people and calls for 3 cups of spinach

using proportion

Find out how many cups of spinach should you use, to serve 18 people

$\frac{12}{3}\ \frac{people}{cups} =\frac{18}{x}\ \frac{people}{cups}\\\\x=18(3)/12\\\\x=4.5\ cups$

3 0

3 years ago

At the local aquarium there are 10 dolphins 8 penguins and 4 whales what is the ratio of penguins to whales

juin [17]

A ratio compares two quantities.

penguins = 8
whales = 4

8:4 , now simplify

8/4 = 2
4/4 = 1

2:1 is the ratio.

Final answer: 2:1

5 0

3 years ago

Read 2 more answers

Simplify these expressions. <br><br> 1.) 7log7 ^x<br> 2.) log3 3^2x

Pavlova-9 [17]

okay for number one your answer is 7^7^x

for number two it’s confusing

8 0

4 years ago

Carol bought a bamboo plant that was 62/4 feet high. when she got it home she cut 44/6 feet off of it . how tall was the plant a

Evgesh-ka [11]

Simplifying the values

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$ , we get

$$\frac{11}{6}$ tall was the plant after she cut it down.

<h3>What is fraction rule?</h3>

Let, the values be a, b, and c, then we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

Carol bought a bamboo plant that was $$6 \frac{2}{4}$ feet high. when she got it home she cut $$4 \frac{4}{6}$ feet off of it.

$$6 \frac{2}{4} =\frac{26}{4}$ and $$4 \frac{4}{6} = \frac{28}{6}$

The common denominator exists 24,

$$\frac{26}{4}-\frac{28}{6}$

the term $\frac{26}{4}=\frac{13}{2}$

$$=\frac{13}{2}-\frac{28}{6}$

Canceling the term $\frac{28}{6}= \frac{14}{3}$

$$=\frac{13}{2}-\frac{14}{3}$

Least Common Multiplier of 2, 3 = 6

Adjust Fractions based on the LCM

$$=\frac{39}{6}-\frac{28}{6}$

By applying the fraction rule we get

$\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$$=\frac{39-28}{6}$

Subtract the numbers, and we get

39 - 28 = 11

$$=\frac{11}{6}$

$$\frac{11}{6}$ tall was the plant after she cut it down

The correct answer is $$\frac{11}{6}.$

To learn more about the fraction rule refer to:

brainly.com/question/20323470

#SPJ4

8 0

2 years ago