All categories

3 years ago

I don’t understand this question can someone help me?

Mathematics

2 answers:

WINSTONCH [101]3 years ago

8 0

Alright, so going over it, I THINK the answer is 264.... Correct me if I'm wrong... Again

zaharov [31]3 years ago

3 0

General formula for nth term in arithmetic sequence
an = a₁ + d(n - 1)

Given:
Arithmetic sequence with:
a₁ = 190

d = a₂ - a₁
d = 198 - 190
d = 8

Asked:
the rule and the 10th term

Solution
Find the rule of the sequence, use the general formula of nth term
an = a₁ + d(n - 1)
an = 190 + 8(n - 1)
an = 190 + 8n - 8
an = 8n + 182
The arithmetic sequence is determined with the rule 8n + 182 (n is the number of term)

Find the 10th term, use the rule
an = 8n + 182
a₁₀ = 8(10) + 182
a₁₀ = 80 + 182
a₁₀ = 262
The 10th term is 262

You might be interested in

Write your answer in the form y=my+b

CaHeK987 [17]

Answer:

y= -2x+18

Step-by-step explanation:

1. The secant line is a line that passes through 2 points in the function.

2. Determine the y values for x=-6 and x=3 by plugging the x values into the x^2 + x function. This yields 30 for x=-6 and 12 for x=3.

3. Find the slope by calculating the rise over the run, represented by the equation (y2 - y1)/(x2-x1). Plugging in the numbers we get (12-30) divided by (3 -(-6)). This gives you a slope equation of -18/9 (subtracting a negative yields a positive), which simplifies to -2.

4. Now that you have your slope m, apply it backwards from x=3 (x=2 yields 14 for y, 1 yields 16, 0 yields 18). Once you arrive at x=0, the y value is your y-intercept.

5. Put the y-intercept b into the equation y= mx+b, and you come out with y= -2x + 18!

6 0

4 years ago

An aerodynamic three-wheeled automobile (the Dart) runs on compressed natural gas stored in two cylinders in the rear of the veh

pogonyaev

Answer:

a) 7702.88 miles

b) If we drive more than 7702.88 miles per year, the dart would be more economical.

Step-by-step explanation:

Assuming a useful life of 7 years.

Let's calculate EUAC dart:

(15000)(A/P, 10%, 7) + (X/100mpg)(8)

= 15000 * 0.2054 + 0.08

= 3081.15 + 0.08X

EUAC For other automobile:

(12000)(A/P, 10%, 7) + (X/50mpg)(8)

= 12000 * 0.2054 + 0.16X

= 2464.92 + 0.16X

a) To solve for X, we have:

EUAC dart = EUAC other automobile

3081.15 + 0.08X = 2464.92 + 0.16X

0.08X - 0.16X = 2464.92 - 3081.15

-0.08X = - 616.23

X = 7702.88 miles

b) The range of annual miles driven is the Dart more economical.

EUAC dart < EUAC other automobile

3081.15 + 0.08X < 2464.92 + 0.16X

X > 7702.88 miles

If we drive more than 7702.88 miles per year, the dart would be more economical.

5 0

4 years ago

Why is it helpful to estimate the answer before adding or subtracting decimals?

slava [35]

<span>Being able to estimate your answer is a very useful skill. ... When decimals are involved, it's very easy to put the decimal point in the wrong place, and ... round all numbers to the same place value—this makes adding or subtracting a bit easier.</span>

7 0

3 years ago

Identify the slope and the y-intercept

Over [174]

Answer:

slope: $1$

y-intercept: $(0, -1)$

Slope-intercept Form: $y = x - 1$

Step-by-step explanation:

4 0

3 years ago

Diego pays $4.50 for 3 pound of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas

lys-0071 [83]

Answer:

D. 3b + 2(b + 0.75) = 4.50; $0.60 per pound of bananas, $1.35 per pound of oranges

Step-by-step explanation:

Price per pounds of bananas = b

Price per pound of oranges = b + $0.75

Diego buys:

3 pounds of bananas = 3(b) = 3b

2 pounds of oranges = 2(b + 0.75)

Amount paid by Diego is expressed as:

3b + 2(b + 0.75) = 4.50

To find the price per pound of each fruit, use the equation above to find the value of b:

3b + 2b + 1.50 = 4.50

Combine like terms

5b + 1.50 = 4.50

5b + 1.50 - 1.50 = 4.50 - 1.50

5b = 3

5b/5 = 3/5

b = 0.6

Price per pound of banana = b = $0.6

Price per pound of oranges = b + $0.75

Plug in the value of b

= $0.6 + $0.75

= $1.35

4 0

4 years ago