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Black_prince [1.1K]
3 years ago
6

Which graph represents the solution set of the compound inequality​

Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Step-by-step explanation:

take into 2 sections

-5<a-4 and a-4<2

-1<a and a<6

therefore it should be the 2nd one

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Eddie had 30 dollars to spend on 3 gifts. He spent 11
OverLord2011 [107]

Answer:

12.9 or 12 9/10

6 0
2 years ago
Will give brainliest
Galina-37 [17]

The percentage of the radioactive isotope left is 25.0000%.

<h3>What is the half life?</h3>

The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.

Now;

We are told that;

Half life (t1/2) = 55 days

Time taken (t) =  115 days

Ratio of isotope remaining = N/No

Thus;

N/No = (1/2)^t/t1/2

N/No = (1/2)^115/55

N/No = (1/2)^2

N/No =1/4

Hence, the percentage = 1/4 * 100/1 = 25.0000%

Learn more about half life of an isotope:brainly.com/question/16387602

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7 0
2 years ago
Which of the following is an equivalent form of the compound inequality −22 &gt; −5x − 7 ≥ −33?
Finger [1]

The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

<h3>Solving inequalities </h3>

From the question, we are to determine the equivalent form of the compound inequality

We will solve the given compound inequality

The given inequality is

−22 > −5x − 7 ≥ −33

We can write that

−22 > −5x − 7 AND −5x − 7 ≥ −33

Solving  −22 > −5x − 7

5x > -7 +22

5x > 15

x > 15/5

x > 3

Also,

Solve −5x − 7 ≥ −33

−5x ≥ −33 +7

-5x ≥ -26

x ≤ -26/-5

x ≤ 5.2

Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

Learn more on Inequalities here: brainly.com/question/20356565

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5 0
2 years ago
Simplify, 99/121 whats the GCF?
Nadya [2.5K]

To find the GCF:

-- List the factors of the first number.
-- List the factors of the second number.
-- Make a short list of the factors that show up for BOTH numbers.
-- Find the biggest number on the short list.

Factors of the first number (99):  <u>1</u>, 3, 9, <u>11</u>, 33, 99 .

Factors of the second number (121):  <u>1</u>, <u>11</u>, 121 .

Short list (factors that show up for both numbers):  1, 11

Biggest number on the short list:  <em>11</em>


3 0
3 years ago
Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are
inna [77]
<span>a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.

Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km

b. Write an equation for the circumference of any latitude circle with angle theta

As stated, </span><span><span>the length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a great circle of Earth times the cosine of the latitude angle</span>:

=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)

Answer: circumference = 40,212.39 cos(Θ) km

c. Which latitude circle has a circumference of about 3593 kilometers?

Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km

=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad

Answer: 1.48

d. What is the circumference of the Equator? </span>

For the Equator Θ = 0°

=> circumference = 40,213.49cos(0°) km = 40,212.49 km

Answer: 40,212.49 km

7 0
3 years ago
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