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GaryK [48]
3 years ago
11

F(x) = x 2 + 1, find f(a + 1)

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
<span>f(x) = x^2 + 1, find f(a + 1)
so
</span> f(a + 1) = (a+1)^2 +1
 f(a + 1) = a^2 + 2a + 1 + 1
 f(a + 1) = a^2 + 2a + 2
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A cylinder has height of 10 millimeters and radius 12 millimeters.Find the a.volume and b. surface area.
Sholpan [36]

Answer:

A. <u>Volume = 4,523.9 mm³ (cubic mm)</u>

B. <u>Surface area = 1,658.76 mm² (square mm)</u>

Step-by-step explanation:

A. Lest's calculate the volume of the cylinder:

r = 12 mm, h = 10 mm

Volume = π * r² * h

Volume = 3.1416 * 12² * 10

Volume = 3.1416 * 144 * 10

<u>Volume = 4,523.9 mm³</u>

B. Let's calculate the surface area of the cylinder:

Surface area = 2π * r * h +2π * r²

Surface area =2π * 12 * 10 + 2π * 12²

Surface area = 6.2832 * 120 + 6.2832 * 144

<u>Surface area = 753.98 + 904.78 = 1,658.76 mm²</u>

8 0
3 years ago
In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x wil
artcher [175]

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

MN=ON

4x-7 =7-3x

Adding 3x to both sides and addinf 7 to both sides

7x = 14

Now we need to get rid of 7 and for that we do division, that is

\frac{7x}{7} = \frac{14}{7}

x=2

Correct option is the second option .

6 0
3 years ago
Can anyone help me with number 7 and the last one and asap <br>and quicccck!
poizon [28]
Algerbratic Expression
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME 30POINTS +BRAINLY
Serga [27]

1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is \frac{1}{6}.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is \frac{3}{6} = \frac{1}{2}.

<h3>Here are two more examples: </h3>

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is \frac{1}{4}.

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

Favorable outcomes: 3 (3 white socks)

Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)

Thus, the probability that Dan will grab a white sock is \frac{3}{12} = \frac{1}{4}.

6 0
3 years ago
the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fa
alisha [4.7K]

Answer:

  • The first mission

Step-by-step explanation:

<u>The depth readings are</u>

  • The first mission:  - 2 3/4 fathoms
  • The second mission: - 2 5/8 fathoms

<u>Comparing the readings</u>

  • - 2 3/4 = - 2 6/8  and  - 2 5/8

<u>Absolute values compared</u>

  • 2 6/8 > 2 5/8

Indicating the greater value on the first mission

As per above, the first mission was deeper

8 0
3 years ago
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