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PtichkaEL [24]
2 years ago
15

Please help me!!! Help meeee

Mathematics
1 answer:
spayn [35]2 years ago
4 0

9514 1404 393

Answer:

  a) 2.477121

  b) 10

  c) 1000

Step-by-step explanation:

a) Your calculator can tell you ...

  log(3) ≈ 0.477121

so ...

  2+log(3) ≈ 2.477121

__

b) The relation between logs and anti-logs is ...

  log(x) = y   ⇔   y = 10^x

"a logarithm is an exponent"

So, ...

  log(x) = 1   ⇒   x = 10^1 = 10

__

c) log(x) = 3   ⇒   x = 10^3 = 1000

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What is the area of this triangle.
chubhunter [2.5K]

Answer:

13 square units

Step-by-step explanation:

You <em>could</em> calculate the length of each side using Pythagorean theorem, then use Heron's formula to find the area.  But there's an easier way: find the area of the rectangle that contains the triangle, and subtract the areas of the smaller triangles in the corners.

The area of the rectangle is 4 × 7 = 28.

The area of the upper left triangle is ½(2)(4) = 4.

The area of the upper right triangle is ½(3)(5) = 7.5.

The area of the lower right triangle is ½(1)(7) = 3.5.

So the area of the triangle is:

28 − 4 − 7.5 − 3.5 = 13

6 0
3 years ago
What is the answer to -3(1+6r)=14-r
Ilia_Sergeevich [38]
<span>-3(1+6r)=14-r
-3 - 18r = 14 - r ...expand by using distributive property
-3 -17r = 14 ...add (r) to both sides
-17r = 17 ...add (3) to both sides
     r = -1 ....divide both sides by (-17)</span>
5 0
3 years ago
Read 2 more answers
How much water do you add...
Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

7 0
3 years ago
Jose's school spent $1284 on 9 sticksof memory and a new hard drive. The hard drive cost $168. Which is the reasonable estimate
myrzilka [38]
Subtract the cost of the hard drive from the original $1284 and divide the answer you got by the 9 sticks of memory for your answer.
4 0
3 years ago
Read 2 more answers
3. The minimum payment on a credit card is based on the total amount owed. A credit card company uses
shutvik [7]

Answer:

The answer is below

Step-by-step explanation:

The minimum payment on a credit card is based on the total amount owed. A credit card company uses the following rules: For a bill less than $20 the entire amount is due, for a bill of at least $20 but less than $500, the minimum due is $20. For a bill of at least $500 but less than $1000 the minimum due is $40 and for a bill of at least $1000 but less than $1500 the minimum due is $80 dollars. For a bill of $1500 or more the minimum due is 1/10th of the bill.

a. Write a function to describe the minimum payment due.  

b. What is the minimum payment due if the bill is $345?  

c. What is the minimum payment due if the bill is $1410?  

d. What is the minimum payment due if the bill is $1700?

Solution:

Let B represent the minimum due payment for a bill in dollars and let x represent the bill in dollars. Therefore:

For x < 20, B = x

For 20 ≤ x < 500, B = 20

For 500 ≤ x < 1000, B = 40

For 1000 ≤ x < 1500, B = 80

For x ≥ 1500, B = (1/10)x

a)

B(x)=\left \{ {{x\ \ \ x

b) For 20 ≤ x < 500, B = 20

Therefore if the bill is $345 (x = 345), the minimum payment due would be $20

c) For 1000 ≤ x < 1500, B = 80

Therefore if the bill is $1410 (x = 1410), the minimum payment due would be $80

d) For x ≥ 1500, B = (1/10)x

Therefore if the bill is $1700 (x = 1700), the minimum payment due would be $170 (1/10 * 1700)

7 0
3 years ago
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