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2 years ago

Consider the inequality -3 < x < 6. Whats the endpoint of this interval

Mathematics

1 answer:

Nostrana [21]2 years ago

8 0

Answer:5

Step-by-step explanation:

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What is the answer to question 4 written as an ordered pair?

Mkey [24]

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2 years ago

Please help I am doing a quiz. solve the equation -5m = -20.

BaLLatris [955]

Answer:

(d) m = 4

Step-by-step explanation:

-5m = -20 (divide by -5)

m = 4

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3 years ago

First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

a bag containing some widgets weighing 81 kg. when 2 of the widgets are removed, the weight of the bag drops to 73kg. the bag wi

Sloan [31]

First I find the individual widget weight

81 - 73 = 2x
8 = 2x
x = 4

Then I find how many widgets were left

73 - 1 = 4y
72 = 4y
18 = y

Y is the amount of widgets left, therefore the amount left is 18

3 0

3 years ago

Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b.

satela [25.4K]

Answer:

a = 60°

b = 120°

Step-by-step explanation:

First, you can find measure a by using the first shape. There are six rhombuses, and you can use the innermost a of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the a measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for b, you would divide 240 by two. The answer is 120.

To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!

7 0

2 years ago

Read 2 more answers