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sladkih [1.3K]
3 years ago
9

I am thinking of two prime numbers.

Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:

Prime numbers only have two factors which is 1 and itself so the HCF of a prime number is itself.

LCM of prime numbers is like the LCM of any other number. See where the lowest multiple of both prime numbers are equal.

Hope this helps.

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4(1-2b)+7b-10
likoan [24]

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 <u>- 8b</u> <u>+ </u><u>7b</u> - 10 combine like(same) terms

3. <u>4</u> - 1b <u>- 10</u> same as 2.

4. -1b - 6

5 0
3 years ago
At a pet store the ratio of cats to dogs sold was 10:1. If there were 60 cast that were sold, how many dogs were sold?
AnnZ [28]


Ratio for this mean for every 10 cats sold there was one dog


60/10 = ?


6 dogs


ratio =          60:6



3 0
3 years ago
6. If the net investment function is given by
Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

  • (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

  • (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

I(t) = 100 \cdot e^{0.1 \cdot t}

(a) The capital formation is given as follows;

\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

Which gives;

\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

\displaystyle \mathbf{1000 \cdot  e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000

\displaystyle e^{0.1 \cdot t}} = 101

\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
2 years ago
Convert 120 degrees to radian measure in terms of pi
Varvara68 [4.7K]
2π radians is equal to 360° which is just π rad/180° so:

120°(π/180°)=2π/3


4 0
3 years ago
what is the name given to the ordered pair of real numbers that two intersecting lines have in common
mihalych1998 [28]
<span>The intersection or point of intersection</span>
8 0
3 years ago
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