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svetoff [14.1K]
3 years ago
7

Please answer thankssss

Mathematics
2 answers:
dmitriy555 [2]3 years ago
8 0

\frac{7.5*10^{12} }{2.5*10^{4} } =\frac{7.5}{2.5} *\frac{10^{12} }{10^{4} } = 3 * 10^{12 - 4} = 3*10^8

Hope that helps!

RUDIKE [14]3 years ago
6 0
<h3>Answer: Choice C</h3>

3 \times 10^8

=================================================

Explanation:

Divide 7.5 over 2.5 to get 3

Dividing the other terms means we subtract the exponents using this rule

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

So,

\frac{10^{12}}{10^4} = 10^{12-4} = 10^8

Overall,

\frac{7.5 \times 10^{12}}{2.5 \times 10^4} = 3 \times 10^8 which points to choice C

If you wanted to expand this out, then 3.0 becomes 300,000,000 = 300 million after moving the decimal point 8 spots to the right.

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In About 13 days the water in the tank will hit 6000 gallons
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4 years ago
Find the value of x if 196^×=14​
castortr0y [4]

Answer:

x = \frac{1}{2}

Step-by-step explanation:

Note that \sqrt{196} = 14

Expressed in exponent form as

196^{\frac{1}{2} } = 14, thus

x = \frac{1}{2}

7 0
3 years ago
What is the average rate of change of f over the interval -7 &lt; or equal to x Give an exact number
Annette [7]

Answer:

\frac{4}{3}

Step-by-step explanation:

The average rate of change can be found by using the following formula

\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}

Good luck!

3 0
3 years ago
Suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially?
nalin [4]

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

brain less

8 0
2 years ago
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid
Elza [17]

Answer:

L(t)=7600e^{0.2273t}

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

P=P_oe^{rt}

Where:

  • P is the population after t days.
  • P_o is the initial population given as 7600
  • r is the rate of growth
  • t is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}

7 0
3 years ago
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