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2 years ago

-5,-1,3,7...... Write the first term a and the common difference d

1 answer:

8 0

The appropriate formula here is l = a + (n-1)d, where l represents the last term.

Here the first term is -5 and the common difference is +4. Thus,

l = -5 + (n-1)(4) (answer)

Check: we are given the arith sequence -5, -1, 3, 7. Does our formula correctly predict the 1st term? l = -5 + (1-1)(4) = > -5. Yes.
Does it correctly predict the 3rd term? l = -5 +(3-1)(4) => -5+2(4) = 3. Yes

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A service call to repair a washing machine costs $35 plus $20 per hour. Raphael ‘s machine took 2 hour to fix. How much did the

Lady bird [3.3K]

There is a mandatory fixed rate of $ 35 that Raphael will have to pay once the service call has been made. This fixed rate is the constant.

The per hour rate is $20. Suppose the machine took "x" hours to get fixed. Then the variable part of the repair cost will be $20x$ .

Thus, Repair Cost=Fixed Rate Cost+Variable Cost

Or, $y=35+20x$ where $y$ is the total repair cost. Thus, if Raphael ‘s machine took 2 hour to fix, the repair cost is:

$y=35+20\times 2=35+40=75$ dollars.

Therefore, the last option is the correct option.

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3 years ago

Read 2 more answers

Helppp it's due today

Arlecino [84]

Answer:

x = 5 and y = 8.7

See attached image for working

Step-by-step explanation:

Since it's a right angle triangle you can use sin and cos.

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2 years ago

Read 2 more answers

In ΔRST, r = 210 inches, t = 550 inches and ∠T=166°. Find all possible values of ∠R, to the nearest degree.

valkas [14]

Answer:

m(∠R) = 5°

Step-by-step explanation:

By applying sine rule in the given triangle RST.

$\frac{\text{sin}(\angle R)}{ST}= \frac{\text{sin}(\angle T)}{SR}$

$\frac{\text{sin}(\angle R)}{r}= \frac{\text{sin}(\angle T)}{t}$

$\frac{\text{sin}(\angle R)}{210}= \frac{\text{sin}(166)}{550}$

sin(∠R) = $\frac{210\times \text{sin}(166)}{550}$

= 0.09237

m(∠R) = $\text{sin}^{-1}(0.09237)$

= 5.3°

≈ 5°

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3 years ago

Help! Which estimate is closest to the actual value of ( 2.99548 ) ⋅ ( 1.8342 )?

nordsb [41]

Answer:

Step-by-step explanation:

2.99548 * 1.8342

the first number rounds to 3.....the second number rounds to 2.....3 * 2 = 6...but it will be a little short of 6 because of the 1.8.....so I am going with 5.5

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jada ran 7.1 miles.....noah ran 5.123 miles

so jada ran (7.1 - 5.123) = 1.977 miles farther then noah

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greater then 3...

1.67 + 1.4 and 4.5 - 1.47

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3 years ago

Cuantas veces cabe el 7 en el 4

SVEN [57.7K]

<span>7 no encaja en 4, por lo que la respuesta sería cero 7 ajustes en 4, cero veces</span>

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2 years ago