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Troyanec [42]
3 years ago
15

THE FIRS PERSON WHO ANSWERS WILL GET BRAINLIST A number is written with the following factorization: 22 × 3 × 54 × 8 × 112. Is t

his factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

No

Step-by-step explanation:

22,54,8 and 112 aren't prime numbers.

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Given the figure below, find the values of x and z.
N76 [4]

Answer:

x=9

z=73

Step-by-step explanation:

Angle 107 and 8x+35 are vertical angles, so they are equal

107 = 8x+35

Subtract 35 from each side

107-35 = 8x+35

72 = 8x

Divide by 8

72/8 = 8x/8

9 =x

We also know that 107 and z are supplementary angles since they form a straight line.  This means they add to 180 degrees

107+z = 180

Subtract 107 from each side

107-107+z=180-107

z =73

5 0
3 years ago
A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
ms. James has a 6 square foot bulletin board and a 12 square food bulletin board. She wants to cover both boards with index card
Anon25 [30]

Answer:

<em>She need </em><em>72 </em><em>index cards.</em>

Step-by-step explanation:

Ms. James has a 6 square foot bulletin board and a 12 square food bulletin board and she wants to cover both boards with index cards without gaps or overlaps.

Each index card has an area of \dfrac{1}{4} square foot.

Dividing the area of each board with the area of the index card will yield the the number of cards she needs to cover up completely.

Let us assume T₁ and T₂ are the number of cards she needs to cover 6 square feet food bulletin board and 12 square feet food bulletin board respectively. So

T_1=\dfrac{6}{\frac{1}{4}}=24,\\\\T_2=\dfrac{12}{\frac{1}{4}}=48

Therefore, in total she need 24+48=72 index cards.

7 0
3 years ago
HELP I HAVE 10 MINUTES PLEASE GIVE ME A REAL ANSWER :
Dimas [21]

Answer:

the third one

Step-by-step explanation:

its easy

3 0
3 years ago
the ratio of an object's weight on earth to its weight on the moon is 6:1. the first person to walk on the moon was Neil Armstro
Greeley [361]

\frac{165}{6}  = 27.5 lbs
8 0
3 years ago
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