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ira [324]
3 years ago
11

-u≥4−u≥4 true. Then write an equalivalent inequality, in terms of uu. (Numbers written in order from least to greatest going acr

oss.)
Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0

Answer:

(a)\ u \le -4

(b)\ u =\{-\infty,.....,-6,-5,-4\}

Step-by-step explanation:

Given

-u \ge 4

Solving (a): An equivalent inequality

We have:

-u \ge 4

Multiply both sides by -1 (this changes the inequality)

-u*-1 \le 4 * -1

u \le -4

Solving (b): Values of u from least to greatest

u \le -4 implies that u ends at -4, starting from negative infinity

So, the list is:

u =\{-\infty,.....,-6,-5,-4\}

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An equal number of juniors and seniors are trying out for six spots in this year's decathlon
il63 [147K]

There are 50 different possible debating teams that could be selected as obtained using COMBINATION.

Since there are EQUAL number of juniors and seniors ;

Then we have 5 of each.

Here, the order of arrangement DOES NOT matter, Hence, we use COMBINATION

since the team MUST contain 4 SENIORS and 2 JUNIORS

4 Seniors from 5  = 5C4 = 5

2 Juniors from 5 = 5C2 = 10

Hence, (5C4 * 5C2) = 5 * 10 = 50

Hence, there are 50 different possible debating teams that could be selected.

Learn more :

brainly.com/question/8018593

7 0
3 years ago
A fossil is found that contains 10% of the amount of carbon-14 found in a living being about how old is the fossil?
Vsevolod [243]

Answer: 19200 years

Step-by-step explanation:

The fossil in the above question has aged for 3.3 half lives. Since the half life of a fossil is given as 5730 years, the age of the fossil will be given as:

= 5730 years × 3.3333333

= 19200 years

Therefore, the age of the fossil is 19200 years.

7 0
3 years ago
Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
kow [346]

Answer: The triangles are not similar.

Step-by-step explanation:

Two figures are similar simply if they have the same shape, but not necessarily the same size. In a more mathematical sense, similar figures have the same angle measures and proportionate side lengths.

<em>For reference, side lengths are proportionate when the ratios between corresponding/matching sides are the same.</em>

Since we do not have any angles, we will try using the SSS Similarity Theorem, which states that if all three sides of both triangles are in proportion, then the triangles are similar. We will first list all the side lengths and match corresponding ones.

\triangle ABC \rightarrow 18,20,32\\ \triangle UVT \rightarrow 14,15,24

Since we matched corresponding sides, we can now check whether they have the same ratio).

\frac{18}{14}=\frac{20}{15}=\frac{32}{24}

\frac{9}{7}=\frac{4}{3}=\frac{4}{3}

Not all of the side lengths have the same ratio, so these triangles aren't similar. you must multiply 14 by 9/7 to get to 18, but you need to multiply the other two sides by 4/3 to get to their

4 0
2 years ago
What is the value of X? inscribed angles <br><br> a. 30<br> b. 15<br> c. 35<br> d. 25
OlgaM077 [116]

Answer:

a. 30

Step-by-step explanation:

Rotate the image and observe, you will see the difference between 30° and 35°

Hope this helps

3 0
2 years ago
Which of the following is approximately equal to the product of the multiplication problem below?
Elis [28]

For this case we have the following expression:

\frac {21} {5} * \frac {19} {4}

Multiplying we have:

\frac {21 * 19} {5 * 4} =\\\frac {399} {20} =\\19.95

We round the expression and we have that it is equivalent to: 20.

Thus, \frac {21} {5} * \frac {19} {4}is approximately equal to 20.

Answer:

The expression given is approximately equal to 20.

Option C

7 0
3 years ago
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