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maxonik [38]
3 years ago
12

Evaluate the following expression: 30 = 5(8 – 6 + 1) - (2^2 - 3)^3

Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

30=15

Step-by-step explanation:

30=40-30+6-4-27

30=10+2-27

40=12-27

30=-15

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I don't understand this. Please help!:::: Provide an answer for a, b, c, and d.
OleMash [197]
Answer for part A is  \angle A \cong \angle D which in English means "angle A is congruent to angle D"

The reason why we know that angle A and angle D are congruent is because they are both right angles. By the right angle congruence theorem (the reason just below the blank for part A), we can say that angle A = angle D. They are both 90 degree angles. 

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Answer for the blank in part B is "Given" without quotation marks of course. This is the first "given" while the second given is coming up in part C

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For part C, the other given is \angle C \cong \angle F so that's what will go in the blank. It may seem silly, but all we're doing is repeating verbatim what is given to us. With any proof, you always start with what you are given and somehow connect it with what you're trying to prove

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Finally, the answer for the blank in part D is "AAS Congruence Theorem" (without quotes)

The AAS congruence theorem allows us to prove two triangles congruent if we know if two pairs of angles are congruent plus if we know two sides are congruent as well.

The angle portions are covered by part A and part C. The side portions are part B's territory. Combining A, B, & C allows us to use the AAS theorem

Note: It is NOT the ASA theorem because the two angles do not sandwich the sides. In other words, the side AB is not between the two angles A and C. Similarly, DE is not between the two angles D and F. The order is very important as ASA is slightly different than AAS. 

8 0
3 years ago
The number of days it takes a theater crew to set up a stage for a musical varies inversely as the number of
klemol [59]
Idk prolly like 6 days chief
7 0
3 years ago
Which ordered pair is a solution to this equation? 5x - 10y = 35 (7, 1) (1, -3) (8, -4) (-2, 6)
Nataly_w [17]
(1,-3) is the anwser
7 0
3 years ago
Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m
suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week                              1           2            3           4            5

             Water Level (inches) − 1 1 4     1 3 8      2 1 2      -1 5 8      -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = \frac{138 - 114}{2 - 1} = \frac{24}{1} = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = \frac{212 - 114}{3 - 1} = \frac{98}{2} = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = \frac{-158 - 114}{4 - 1} = -\frac{272}{3} = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = \frac{-134 - 114}{5 - 1} = -\frac{248}{4} = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = \frac{212 - 138}{3 - 2} = \frac{74}{1} = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = \frac{-158 - 138}{4 - 2} = -\frac{296}{2} = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = \frac{-134 - 138}{5 - 2} = -\frac{272}{3} = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = \frac{-158 - 212}{4 - 3} = -\frac{370}{1} = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = \frac{-134 - 212}{5 - 3} = -\frac{346}{2} = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = \frac{-134 + 158}{5 - 4} = \frac{24}{1} = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0
2 years ago
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sammy [17]

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

7 0
2 years ago
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