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4 years ago

Suppose that I sequences defined as follows. List the 1st 4 terms of the sequence. BRANLIEST ASAP TY!

Mathematics

1 answer:

rjkz [21]4 years ago

4 0

The first four terms are -6, -7, -9 and -13.

Step-by-step explanation:

Step 1: Given first term, a(1) = -6 and the nth term, a(n) = 2a(n-1) + 5. FInd the first four terms.

⇒ a(1) = -6

⇒ a(2) = 2a(1) + 5 = 2 × -6 + 5 = -12 + 5 = -7

⇒ a(3) = 2a(2) + 5 = 2 × -7 + 5 = -14 + 5 = -9

⇒ a(4) = 2a(3) + 5 = 2 × -9 + 5 = -18 + 5 = -13

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Which is the y-intercept of the relationship represented in the table?

schepotkina [342]

Answer:

y = x + 5

Step-by-step explanation:

m = (0 --3 )/(-5--8)= 1

y - 0 = 1(x - - 5)

y = x + 5

4 0

2 years ago

The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p - 24.1t+575 where t is

krok68 [10]

Answer:

69 years after 2005 which is in 2074 year the average price of a studio in this city will reach $1081.10.

Step-by-step explanation:

Given:

Average Price to rent a studio is denoted by 'p'.

It is been approximated by equation:

$p-24.1t+575$

where t ⇒ number of years since 2005

Now given:

Average Price to rent a studio p = $1081.10

Substituting the value of p in above equation we get;

$1081.10-24.1t+575$

Solving the new equation to find the value of t we get;

$1656.1=24.1t$

Dividing both side by 24.1 we get;

$\frac{1651.1}{24.1} =\frac{24.1t}{24.1} \\\\t= 68.71 \approx 69 years$

Hence 69 years after 2005 which is in 2074 year the average price of a studio in this city will reach $1081.10.

7 0

3 years ago

The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the

Oxana [17]

Answer:

Part a) The area of the actual floor is $576\ ft^{2}$

Part b) The ratio of the area in the drawing to the actual area is $\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{1}{3}\frac{cm}{ft}$

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

$A=64\ cm^{2}$

$64=b^{2}$

$b=8\ cm$

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

$8/(1/3)=24\ ft$

step 3

Find the area of the actual floor

The area of a square is equal to

$A=b^{2}$

substitute

$A=24^{2}=576\ ft^{2}$

step 4

Find the ratio of the area in the drawing to the actual area

$\frac{64}{576}\frac{cm^{2}}{ft^{2}}$

Simplify

Divide by 64 both numerator and denominator

$\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

3 0

3 years ago

Anais bought 2 1/2 yards of ribbon. She had 2 feet 8 inches of ribbon left after trimming some curtains. How many inches of ribb

andriy [413]

2 1/2 yards of ribbon is 7 1/2 feet. (3 feet per yard)

She had 2 feet 8 inches left over after using a certain amount for the curtains.

So 2 feet 8 inches converted to fractions is 2 2/3 feet.

So our answer is the difference between 7 1/2 and 2 2/3 which is 4 5/6 feet.

Convert 4 5/6 feet to inches (12 inches in 1 feet) gives us a final answer of

58 inches.

5 0

4 years ago

Read 2 more answers

The difference between two numbers, a and b, is 21. The difference of 5 times a and two times b is 18

aleksandrvk [35]

Answer:

No question

Step-by-step explanation:

If you want an answer, you must provide a question.

3 0

3 years ago

Suppose that I sequences defined as follows. List the 1st 4 terms of the sequence. BRANLIEST ASAP TY!​

Suppose that I sequences defined as follows. List the 1st 4 terms of the sequence. BRANLIEST ASAP TY!