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2 years ago

Put the following numbers in order from least to greatest.-8, 15, 9, -6, -3, 12, 0, -4

Mathematics

1 answer:

kati45 [8]2 years ago

6 0

Answer:

-8, -6, -4, -3, 0, 9, 12, 15

Step-by-step explanation:

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The value of a house has increased by 5% the house is now valued at £609000 what is the value of the house before the increase?

lutik1710 [3]

Answer:

$Current \ price = 609000\\\\Let \ the \ original \ price \ be = x\\\\\% increase = 5 \% \ of \ x = \frac{5}{100} \times x = \frac{5x}{100}\\\\Price \ after \ increase, current\ price = \frac{5x}{100} + x\\\\$

$=> 609000 = \frac{5x}{100} + x\\\\=>609000 = \frac{105x}{100}\\\\=> x = \frac{609000 \times 100}{105}\\\\x = 580000$

Therefore original price = $580,000

3 0

2 years ago

The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.

VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

$\int\limits^2_{-1} {(f(x) - g(x))} \, dx$

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx$

We know that:

$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

$\int\limits^{}_{} {1} \, dx = x$

$\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}$

Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

The right side is equal to:

$(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6$

The bounded area is 5 + 5/6 square units.

3 0

2 years ago

You went to the mall with $60. You spent 30% of your money on a pair of shorts. How much did you spend on the shorts?

Jet001 [13]

Answer: $18

Step-by-step explanation:

You had a total of $60.

You spent 30% of your money on shorts.

The question would like to know what that 30% translates to in actual dollars so you need to find out what 30% of $60 is:

= 30% * 60

= $18

4 0

2 years ago

What is the measure of angle y?<br> I need help I’m being timed plz

Murrr4er [49]

Answer:

I think it is 2

Step-by-step explanation:

AD is 2. AD is congruent to DC. So that means y = 2. I am not completely sure though.

7 0

2 years ago

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Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day fundraising phon

tangare [24]

Answer:bbb

Step-by-step explanation:

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2 years ago