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Maru [420]
3 years ago
9

What is the area of rectangle PQRS?

Mathematics
2 answers:
NISA [10]3 years ago
5 0
D. 42.75 square inches
Katen [24]3 years ago
4 0

Hi,

The area of rectangle PQRS is:

D. 42.75 square inches

a=wl

9.5*4.5=42.75

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A culture started with 5,000 bacteria. After 2 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after
lesya [120]
This can be expressed as exponential growth of the form:

f=ir^t, f=final amount, i=initial amount, r=common ratio (rate), t=time

In this case we are given the point (2, 6500) and i=5000 so we can solve for the rate...

6500=5000r^2  divide both sides by 5000

1.3=r^2  take the square root of both sides and note that we know r>0

r=1.3^(1/2) so our equation becomes:

f=5000(1.3)^(1/2)^t  and knowing that (a^b)^c=a^(b*c) we can say:

f=5000(1.3)^(t/2)  so for t=18

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7 0
3 years ago
Solve the following inequality.
Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<em><u>Given the following </u></em><em><u>inequality</u></em><em><u>,</u></em>

<em><u /></em>\frac{m - 2}{3} < -2 \\

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

\frac{m - 2}{3} < -2 \\

  • Multiply both sides by 3

\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6

  • Add 2 to both sides

m - 2 + 2 < -6 + 2\\\\m < -4

Or

4m + 3 > 15

  • Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

  • Divide both sides by 4

\frac{4m}{4}  > \frac{12}{4} \\\\

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

<u>m < -4 OR m > 3</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/24434501

8 0
2 years ago
Really struggling! Will give 20 points to answers correctly
Rom4ik [11]

Answer:

8,820

Step-by-step explanation:

One candle:

½ × 10 × 7 × 6

= 210 cm³

42 candles:

42 × 210

= 8,820 cm³

8 0
3 years ago
Read 2 more answers
in a 3 digit number, the hundreds digit is four more than the units digit, and the tens digit is 3 less than the sum of the othe
Snowcat [4.5K]

Answer: The number is 480.

Step-by-step explanation:

The question states that in a 3 digit number, the hundreds digit is 4 more than the units digit and the tens digit is twice the hundreds digit.

7 0
3 years ago
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Write as a decimal:<br><br>Explain...<br><br>1 7/12​
hichkok12 [17]

Answer:

1 7/12 = 1.58

Step-by-step explanation:

If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be

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6 0
3 years ago
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