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vekshin1
3 years ago
5

find a formula for the nth term of the arithmetic sequence the first term is -2 and the common difference is 8

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

a(n) = -2 + 8(n - 1)

Step-by-step explanation:

General formula is a(n) = a(1) + d(n - 1), where d is the common difference.

Here a(n) = -2 + 8(n - 1)

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Jesse wants to start driving himself to and from school each day. His parents want to know how much driving time would be involv
PSYCHO15rus [73]

Answer:

175 minutes

Step-by-step explanation:

Add up the 8 different times then divide by 4 to get the average driving time for 1 day:

⇒ 12 + 18 + 13 + 21 + 15 + 22 + 15 + 22 = 138

⇒ 138 ÷ 4 = 34.5 mins

Now multiply the average drive time for 1 day by 5 to determine the time taken to drive to and from school for 5 days:

⇒ 34.5 x 5 = 172.5 minutes

As 172.5 ≈ 175 minutes, the nest response is 175 minutes

5 0
2 years ago
What is 50x5362?????
leonid [27]
268100. That’s the answer
8 0
4 years ago
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Which statement about 4(x-3) is true
Pie

Answer:

what are the options?

Step-by-step explanation:

then I can help

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6 0
3 years ago
Read 2 more answers
Rectangular prism container holds about 1320 ml of water. Its length, width and height are consecutive whole number. It's dimens
Black_prince [1.1K]

Answer:

10cm\times 11 cm\times 12 cm

Step-by-step explanation:

We are given that

Volume of water=1320 ml=1320 cubic cm

1ml=1 cubic cm

One dimension of rectangular prism=l=10 cm

Length,width and height are consecutive whole number

Breadth of rectangular prism=x+1

Height of rectangular prism=x+2

Volume of rectangular prism=lbh

Using the formula

1320=10(x+1)(x+2)

x^2+x+2x+2=\frac{1320}{10}=132

x^2+3x+2-132=0

x^2+3x-130=0

x^2+13x-10x-130=0

x(x+13)-10(x+13)=0

(x-10)(x+13)=0

x-10=0\implies x=10

x+13=0\implies x=-13

x=-13

It is not possible because  length cannot be negative.

Length of rectangular prism=10 cm

Breadth of rectangular prism==10+1=11 cm

Height of rectangular prism==10+2=12 cm

Dimensions of the prism is given by

10cm\times 11 cm\times 12 cm

4 0
4 years ago
Write the final equation using the slope-intercept form perpendicular to 3y = x − 4 and passes through the point (−2, 1)
stealth61 [152]

Answer:

y=-3x-5

Step-by-step explanation:

given equation:

3y=x-4

slope intercept form is y=mx+b

(m is the slope, b is the y intercept)

divide by 3

y=1/3x-4/3

perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

so to find the slope of the perpendicular line, use this equation:

1/3m=-1

multiply by 3

m=-3

the slope of the new line is -3.

here is our equation so far:

y=-3x+b

now, we need to find b.

Since the equation of the line passes through the point (-2,1) we can substitute that into the equation to find b

1=-3(-2)+b

multiply

1=6+b

subtract 6

-5=b

so the line is y=-3x-5

Hope this helps!

6 0
3 years ago
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