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Roman55 [17]
4 years ago
6

Which expression is equivalent to the expression shown: 3^7 x 3^-4

Mathematics
1 answer:
aleksandrvk [35]4 years ago
5 0
Choice a is the answer
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A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st
Marta_Voda [28]

Answer:

<u>Approximately 16 tablets of medicine</u>

Step-by-step explanation:

Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.

\frac{5mg}{1kg} = \frac{x}{4.5kg}

\frac{5mg*4.5kg}{1kg} = 22.5mg

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

22.5 / 10 = 2.25

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

2.25 * 7 = 15.75

She would need to take<u> approximately 16 tablets of medicine</u> during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Please help me, how do you do this
lina2011 [118]

Answer:

84x+50

Step-by-step explanation:

First, you would find the area of the entire square. The area of a square is LW, so you would multiply (7x+6)(7x+6). For this, I would use the FOIL method, so you would multiply the first terms which would be (7x)(7x)=14x^2. Then the outside terms, so (7x)(6)=42x. Then the inside, so (7x)(6)=42x. Finally, the last terms, 6(6)=36.

Then you would combine them, so the area of the whole square is 14x^{2} +42x+42x+36 which would equal 14x^{2} +84x+36.

Then, the area of the smaller square is (x)(x) which would equal x^{2}.

Then you would subtract the smaller square from the bigger one, so the final answer would be 14+84x+36 which you could simplify to 84x+50

3 0
3 years ago
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
Find the common ratio of the geometric sequence 4, -12,36,...
yulyashka [42]

Step-by-step explanation:

the common ratio of the geometric sequence 4, -12,36,...

= -12/4 = -3

8 0
3 years ago
Twelve hundred-thousandths is how much greater than twenty millionths
enot [183]

Answer:

the answer is 60 x 10^3 in scientific notation

Step-by-step explanation:

8 0
4 years ago
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