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3 years ago

Which expression is equivalent to log(10^7), a. 7.10 b. 7.log 10 c. 7 d. 1

Mathematics

1 answer:

lord [1]3 years ago

8 0

Answer:

The correct answer is option c

Step-by-step explanation:

Points to remember

Log(x^a) = a log x

log 10 = 1 [since the base is 10]

It is given that, correct answer is option c

log(10^7)

To find the correct option

By using logarithmic identities we can write,

log(10^7) = 7 log 10

= 7 * 1 [ since log 10 = 1]

= 7

Therefore the correct answer is option c

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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Which are the coordinates of the midpoint of the segment connecting(15,-11) and (-10,10)

saveliy_v [14]

Answer:

Step-by-step explanation:

A(x1,y1) B(x2,y2)

M(x,y) => x= $\frac{x1+x2}{2}$ and y= $\frac{y1+y2}{2}$

-----------------------------------------------------------

A(15,-11) B(-10,10)

M( $\frac{15-10}{2}$ , $\frac{-11+10}{2}$ )=( $-\frac{5}{2}$ , $-\frac{1}{2}$ )

7 0

3 years ago

What is between 0.1 and 0.2

aliya0001 [1]

Theres an infinite amount of numbers because you could have 0.10123 to 0.19998298 its never ending

8 0

3 years ago

What is 5713 – 75 = show your workings out

gavmur [86]

Answer:

5713 - 75

= 5638

Step-by-step explanation:

brainliest plz

7 0

3 years ago

Read 2 more answers

Eight teams are competing in the quarter-finals of a world football championship title. Three out of them are European.

zhuklara [117]

Answer: P(none of them Europeans play against each other)= $\frac{5}{14}$

Explanation:

Since there are 8 teams in which 3 are Europeans.

So, remaining 5 teams are not Europeans

We have to take 2 teams to pair up.

And we have a condition that neither of team is European.

So the favourable outcome = $\binom{5}{2}$

and the total outcomes= $\binom{8}{2}$

So, by using theprobability formula i.e.

P(E)= $\frac{\text{No. of favourable outcome}}{\text{Total no. of outcomes}}$

P(getting none of European team play against each other)= $\frac{\binom{5}{2}}{\binom{8}{3}}$

= $\frac{5\times4}{8\times7}$

= $\frac{5}{14}$

8 0

3 years ago