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Licemer1 [7]
3 years ago
7

What is the solution to the equation below? log 7+ log(x-4)= 1

Mathematics
1 answer:
ikadub [295]3 years ago
3 0
The answer to the solution is:
X= 7
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The difference of the squares of two positive consecutive even integers is 12. Find the integers. Use the fact that, if x repres
Lina20 [59]

Answer:

2 and 4.

Step-by-step explanation:

(x+2)^2 - x^2 = 12

x^2 + 4x + 4 - x^2 = 12

4x + 4 = 12

4x = 8

x = 2.

Hence the integers are 2 and 4.

5 0
4 years ago
What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
ElenaW [278]
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624

The final answer here is choice C) -624
<span>
</span>
5 0
3 years ago
Graph: f(x) = 4 + 2cos (4x + 90°)
aleksklad [387]
The graph is counting by ones.

7 0
3 years ago
The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Elza [17]

Answer:

6.3feet

Step-by-step explanation:

Given data

Radius= 4feet

The expression for the circumference of a circle is

C= 2πr

Substitute

C=2*3.142*4

C=25.136 feet

Also, a 90° arc is 1/4 of the circumference of a circle

Hence the length of the 90° arc is

=25.136/4

=6.284 feet

=6.3feet

4 0
3 years ago
You go to the store with $20. You find that packages of gum are on sale for $0.75 per pack. Set up an inequality to
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It's the bottom one. 20 dollars has to be less than or equal to the amount. you cannot spend more than $20
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3 years ago
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