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3 years ago

I don't think I'm doing this right heeellppp

Mathematics

1 answer:

Feliz [49]3 years ago

8 0

Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.

The least common multiple of these three numbers is

$\mathrm{lcm}(8,12,75)=600$

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.

Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:

$8=2^3$
$12=2^2\times3$
$75=3\times5^2$

The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

$2^3\times3\times5^2=8\times3\times25=600$

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)

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Find the half life of a substance which decays according to the function A(t)=600e^-0.05t, where t is time in days. Round to the

Pavel [41]

Answer:

14 days

Step-by-step explanation:

The half life of a substance is the time required until the object has only half of the inicial mass.

So, to find the inicial mass of the object, we use t = 0 in the equation A(t):

A(0) = 600*e^0 = 600

Half of this mass is 300, so we can use A(t) = 300 and then find the time:

300 = 600e^-0.05t

e^-0.05t = 0.5

ln(e^-0.05t) = ln(0.5)

-0.05t = -0.6931

t = 13.862 days

Rounding to nearest day, we have that t = 14 days

8 0

4 years ago

2x . (x² - 5x + 6) - 3x . (x² + 2x -1)

-BARSIC- [3]

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

3 0

4 years ago

Read 2 more answers

Cristina uses a ruler to measure the length of her math textbook. She says that the book is 4/10 meters long. Is her measurement

a_sh-v [17]

Answer:

2/5

Step-by-step explanation:

You could still divide by 2

4 0

3 years ago

What are the x- and y-intercepts of the function graphed below?*

My name is Ann [436]

Answer:

(3,0) and (0,6)

Step-by-step explanation:

(x,y) is the only way to make ordered pair.

The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).

Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.

So the answer is (3,0) and (0,6).

4 0

3 years ago

Read 2 more answers

A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard,

crimeas [40]

Answer:

Landscaping Company will charge $80 for Neighbor yard.

Step-by-step explanation:

Given:

Charges of Mr. Jones = $52

Length of Mr. Jones yard = 65 feet

Width of Mr. Jones yard = 40 feet

Now we will find the area of Mr. Jones yard.

Yard is basically in rectangular form.

Hence we can;

Area of yard is equal to product of length of the yard and width of the yard.

Framing in equation we get;

Area of Mr. Jones Yard = $40\times 65 = 2600\ ft^2$

Now Mr. Jones was charged $52 for a yard having Area 2600 sq. ft.

So we will find the per sq. ft charge applied by the company.

Per sq. ft charge will be equal to Charges of Mr. Jones divided by Area of Mr. Jones Yard.

Framing in equation form we get;

Per sq. ft charge = $\frac{52}{2600} = \$0.02$

Hence the Landscaping company charge Mr. Jones at $0.02 per sq.ft.

Now Given:

Length of Neighbor yard = 80 ft.

Width of Neighbor yard = 50 ft.

We need to find the Charges on Neighbor based on charges applied on Mr. Jones.

First we will find the Area of Neighbors yard we get;

Area of Neighbors yard = $80 \times50 = 4000\ ft^2$

Charges of Neighbor yard will be equal to charges Landscaping company for per sq. ft multiplied by area of Neighbors yard.

Framing in equation form we get;

Charges of Neighbor yard = $0.02\times 4000 = \$80$

Hence Landscaping Company will charge $80 for Neighbor yard.

8 0

3 years ago