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Y_Kistochka [10]
3 years ago
5

Find the next three terms in the sequence. 3, 9, 27, 81

Mathematics
2 answers:
ehidna [41]3 years ago
8 0

Answer:

234

Step-by-step explanation:

Aliun [14]3 years ago
4 0

Answer:

243

Step-by-step explanation:

3*3=9*3=27*3=81*3=243*3 etc

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Solve the proportion
mario62 [17]

Answer:

\boxed{\sf x = 5}

Step-by-step explanation:

\sf Solve  \: for  \: x  \: over  \: the  \: real \:  numbers:  \\ \sf \implies  \frac{2}{x - 3}   =  \frac{5}{x}  \\  \\  \sf Take  \: the \:  reciprocal  \: of  \: both \:  sides:  \\ \sf \implies  \frac{x - 3}{2}  =  \frac{x}{5}  \\  \\  \sf Expand  \: out \:  terms \:  of \:  the \:  left  \: hand \:  side:  \\  \\ \sf \implies \frac{x}{2}  -  \frac{3}{2}  =  \frac{x}{5}  \\  \\  \sf Subtract \:  \frac{x}{5}   -  \frac{3}{2}  \: from  \: both  \: sides: \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} - ( \frac{x}{5}   -  \frac{3}{2} ) =  \frac{x}{5} - ( \frac{x}{5}  -  \frac{3}{2} ) \\  \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} -  \frac{x}{5}    +   \frac{3}{2} =  \frac{x}{5} -  \frac{x}{5}  +  \frac{3}{2}  \\  \\  \sf \frac{x}{5}  -  \frac{x}{5}  = 0 :  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  -  \frac{3}{2}  +  \frac{3}{2}  =  \frac{3}{2}  \\  \\  \sf  \frac{3}{2}   -   \frac{3}{2}   = 0:  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  =  \frac{3}{2}   \\  \\ \sf \frac{x}{2}  -  \frac{x}{5} =  \frac{5x - 2x}{10}  =  \frac{3x}{10} :  \\   \sf \implies \frac{3x}{10}  =  \frac{3}{2}   \\  \\ \sf Multiply \:  both  \: sides \:  by \:  \frac{10}{3}  : \\   \sf \implies \frac{3x}{10}  \times  \frac{10}{3}  =  \frac{3}{2 }  \times  \frac{10}{3}   \\  \\ \sf \frac{3x}{10}  \times  \frac{10}{3}  =   \cancel{\frac{3}{10} } \times( x) \times  \cancel{ \frac{10}{3} } = x :  \\  \sf \implies x =  \frac{3}{2}  \times  \frac{10}{3} \\  \\   \sf  \frac{3}{2}  \times  \frac{10}{3}  = \cancel{ \frac{3}{2} }  \times \cancel{ \frac{3}{2} }  \times 5 :   \\ \sf \implies x = 5

8 0
3 years ago
The officer stepped off 20 paces from E to G. If his pace is 2 1/2 feet long. How wide was the river?
Sergeeva-Olga [200]

Answer:

The wide of river is 50\ ft

Step-by-step explanation:

In this problem we know that

Triangles DEG and DEF are congruent by ASA (Angle-Side-Angle) Congruence

therefore

EG=EF

EG=20*(2\frac{1}{2})=20*\frac{5}{2}=50\ ft

8 0
3 years ago
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
DIA [1.3K]

Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = 35\% \times 80 =\frac{35}{100} \times 80 =28

Blue Strands = 25%

No. of blue strands = 25\% \times 80 =\frac{25}{100} \times 80 =20

Red Strands = 40%

No. of Red strands = 40\% \times 80 =\frac{40}{100} \times 80 =32

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0
3 years ago
Read 2 more answers
H(t) = -t + 3; Find h(-5)
Anastasy [175]

Answer:

8

Step-by-step explanation:

h(t) = -t + 3;

h(-5)

Let t = -5

h(-5) = - -5 +3

       = 5+3

       = 8

7 0
3 years ago
Read 2 more answers
Tangent is positive in quadrants I and IV only.<br>True or False
zhannawk [14.2K]

Answer:

The statement is false

Step-by-step explanation:

we know that

tan(x)=\frac{sin(x)}{cos(x)}

The tangent function will be positive when the sine function and the cosine function have the same sign

so

In the first quadrant the tangent function is positive

In the third quadrant the tangent function is positive

so

The statement is false

6 0
3 years ago
Read 2 more answers
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