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Klio2033 [76]
3 years ago
12

Can someone make my day and explain this to me​

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:

Step-by-step explanation:

Remark

The first step is the critical one. Take the base and raise it to x. Then take the log of the base and the number whose log you need. x (the power)is brought down and the logs divided.

2^x = 1024

log 2^x = log(1024)

x log(2) = log(1024)

x * 0.30102 = 3.0102

x = 30102/0.30102

x = 10

You could use the e system to solve this as well

2^x = 1024

ln(2^x) = ln(1024)

x * ln(2) = ln(1024)

x 0.6931 = 6.9315

x = 6.9315/0.69315

x = 9.999959

x = 10

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Answer:

142

Step-by-step explanation:

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2 years ago
You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from
Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

N+D+Q=72\\0.05N+0.10D+0.25Q=10.20

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

10N+20D+15Q=1,060

Solving the linear system:

N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24

You have found 24 nickels.

7 0
3 years ago
If angle A B C is congruent to angle C B D, find x.
Svetlanka [38]
4 x + 30 = 5x + 20
-5x           -5x

-x + 30 = 20
     -30     -30

- x = -10

x = 10
6 0
3 years ago
Solve for t 6t=30<br><br><br><br> math
lesya [120]

⟹\sf \: 6t = 30

⟹\sf \: Substitute \: the \: value \: of \: t \: as \: 30/6 \: in \: the \: above \: equation.

\sf \: 6t = 30 \\ \sf \: t =  \frac{30}{6}  \\ \sf \: t = 5

Answer ⟶ \boxed{\bf{t = 5}}

4 0
2 years ago
Read 2 more answers
Please help me with this math problem
Alex_Xolod [135]

Answer:

x-intercept(s):  

(−8,0)

y-intercept(s):  

(0,6)

Step-by-step explanation:

5 0
3 years ago
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