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4 years ago

Type an equation for the following pattern

Mathematics

1 answer:

agasfer [191]4 years ago

7 0

Answer:

y = x + 2

Step-by-step explanation:

It looks like its adding 2 everytime.

y = x + 2

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An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car fro

Misha Larkins [42]

Answer:

1931.7N

Step-by-step explanation:

We are told in the question that :

An auto ( a car) weighs = 2500 pounds

It s inclined at n horizontal Ange of 10°

We are asked to find the force that would prevents it from rolling down the street.

Since the unit for Force = Newton or kgm/s²

Step 1

Convert Weight in pounds to kg

1 pound = 0.453592kg

2500 pounds =

2500 pounds × 0.453592kg

= 1133.981kg

Step 2

Find the force that would prevents it from rolling down the street.

Force = Mass × Acceleration due to gravity × sin θ

Acceleration due to gravity = 9.81m/s

Force = 1133.981kg × 9.81 × sin 10°

Force = 1931.7237321 N

Approximately = 1931.7N

4 0

4 years ago

Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to

mezya [45]

Answer:

The confidence interval is (24116.3878,24883.6122).

Step-by-step explanation:

We are given the following information in the question:

Population mean, $\mu$ = $23,500

Sample mean, $\bar{x}$ = $24,500

Sample standard deviation,s = $2,800

Sample size, n = 146

Confidence interval:

$\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at}~\alpha_{0.05} = \pm 1.655436$

$24500 \pm 1.65543(\frac{2800}{\sqrt{146}} ) = 24500 \pm 383.6122 = (24116.3878,24883.6122)$

The confidence interval is (24116.3878,24883.6122).

5 0

3 years ago

Find the unpaid balance on the debt after 5 years of monthly payments on $190,000 at 3% for 25 years

NNADVOKAT [17]

Answer:

$114,000

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interst

P = principal

r = rate

t = time

First, find the interst for 25 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 25

$I_{25}=190,000\cdot 0.03\cdot 25=142,500$

Now find the interest for 5 years:

I = unknown

P = $190,000

r = 0.03 (3% as decimal)

t = 5

$I_5=190,000\cdot 0.03\cdot 5=28,500$

The unpaid balance is

$I=I_{25}-I_5=142,500-28,500=114,000$

6 0

3 years ago

What is the axis of symmetry for f(x) = 2x2 - 8x + 8? Ox = -2 Ox=-3 Ox=3 Ox=2

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a).

Here, we have a=2, b=-8, so the axis of symmetry is ...

x = -b/(2a) = -(-8)/(2(2)) = 8/4

x = 2

5 0

3 years ago

I only have 20 min left it has a timer on me

Fofino [41]

Answer:

it is 3,540ml that is less than 10 L

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers