The answer is: [D]: 0.211 .
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Explanation:
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Given: 2(7)^(3x+1) = 48<span>; Solve for "x" (using "ln");
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First, divide EACH side of the equation by: "2" ;
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</span>→ [<span>2(7)^(3x+1)] / 2 = 48 / 2 ;
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to get: </span> → 7^(3x+1) = 24 ;
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→ Now, take the "ln" of EACH side of the equation:
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→ ln [7^(3x+1)] = ln 24 ;
→ (3x+1) ln 7 = ln 24 ;
→ Divide EACH side of the equation by "ln 7" ;
→ [(3x+1) (ln 7)] / ln 7 = (ln 24 / ln 7) ;
→ 3x + 1 = (ln 24 /ln 7)
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(Using calculator, "(ln 24 / ln 7)" equals: "1.63319659538");
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→ 3x + 1 = 1.63319659538 ;
→ Subtract "1" from EACH side of the equation;
→ 3x + 1 − 1 = 1.63319659538 − 1 ;
→ 3x = 0.63319659538 ;
→ Now, divide EACH side of the equation by "3"; to isolate "x" on one side of the equation; and to solve for "x" ;
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→ 3x / 3 = 0.63319659538 / 3 ; (using calculator);
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to get:
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→ x = 0.2110655317933333 ; which is:
Answer choice: [D]: 0.211 (rounded).
Answer:
30240 number of ways are there to seat them
Step-by-step explanation:
Total number of ways of arranging 9 people on 9 chairs in circular manners = (9-1)! = 8! =
number of ways A sit always sit next to B = AB together makes a single and
therefore total number of arrangements for this = 7+(AB) = 8 that is 8 persons sitting in circular manner
number of ways = (8-1)! =7! = 5040
likewise number of arrangements for A and C will be = 5040
Total number of ways such that A cannot sit next to B or C = total ways of 9 persons - total number of A always sitting next to B - total number of ways always sitting next to C = 8! - 7!-7!
= 40320- 5040-5040
= 30240
=
Well there are 12 inches in 1 foot so
12x9=108
so
111-108=3
so
The average length of a female white beaked dolphin is 9 feet and 3 inches.
The two triangles are congruent through AA (angle-angle proportionality theorem) therefore all the sides are congruent to each other.
In this case:
2y = 5y - 7
2y - 5y = -7
-3y = -7
y = -7/-3
y = 7/3
Answer:
√
28
Rewrite
28
as
2
2
⋅
7
.
Tap for more steps...
√
2
2
⋅
7
Pull terms out from under the radical.
2
√
7
The result can be shown in both exact and decimal forms.
Exact Form:
2
√
7
Decimal Form:
5.29150262
…
Step-by-step explanation:
