If the figure is translated 4 units and 2 units down what are the coordines

Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2

Arlecino [84]

Answer:

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Answer: Option c. 81/2

3 0

3 years ago

Use the scale factor 1:12 to find the missing dimension. Great white shark actually lengthy 21ft

hammer [34]

Answer:

m = 21 inches

The model length is 21 inches

Question;

Use the scale factor 1:12 to find the missing dimension. Great white shark actually lengthy 21ft. Find the model length in inches.

Step-by-step explanation:

Given;

Scale factor = 1:12

Actual length a = 21 ft

Let m represent the model length;

The ratio of model length to actually length is given as;

m/a = 1/12

m = a/12

Substituting a=21 ft;

m = 21/12 ft

Converting to inches;

1 ft = 12 inches

So,

m = 21/12 ft × 12 inches/ft

m = 21 inches

The model length is 21 inches

4 0

3 years ago

In a scale drawing, a building has a length of 15 cm. The actual length of the building is 37.5 feet. Whats the scale of the dra

Feliz [49]

Answer:

$\frac{15}{37.5}\ \frac{cm}{ft}$

or

$1.31:100$

Step-by-step explanation:

we know that

The scale of the drawing is equal to divide the length of a building in the scale drawing by the actual length of a building

so

$\frac{15}{37.5}\ \frac{cm}{ft}$

That means

15 cm in the drawing represent 37.5 ft in the actual

Remember that

$1\ ft=30.48\ cm$

Convert 15 cm to ft

divide by 30.48

$15\ cm=15/30.48\ ft$

substitute

$\frac{15}{37.5}\ \frac{cm}{ft}=\frac{(15/30.48)}{37.5}=\frac{0.0131}{1}$

or

$1.31:100$

That means

1.31 units in the drawing represent 100 units in the actual

5 0

3 years ago

The cost of a babysitting on a cruise is 10 for the first hour, and 12 for each additional hour. If the total cost of baby Aaron

Sliva [168]

Answer:

5 hours was Aaron at the sitter

Explanation:

Cost of baby sitting for the first hour: 10

Cost of baby sitting for additional hour= 12

Total cost of babysitting= 58

Since the cost of first hour is 10

Hence the remaining cost after first hour

= 54-10

=48

Which means 1 hour is consumed in the first hour

Now to calculate the remaining hours for every additional hour

= $\frac{48}{12}$

=4 hours

Hence the total hour Aaron was with the sitter

= 1 hour + 4 hours

= 5 hours

4 0

3 years ago

What is Index Law 2? please give definition

ioda

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.

6 0

3 years ago

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