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3 years ago

HELP WILL MARK BRAINLIEST!!!!!!!

Mathematics

1 answer:

zlopas [31]3 years ago

4 0

Answer and Step-by-step explanation:

4 hours on Monday, so subtract 4 from 16.

We get 12.

So now it says twice as many on Saturday as on Thursday

So two numbers that add up to 12, but one number is twice the other number, would be 4.

4 times 2 is 8, and 4 + 8 is 12. 12 + 4 = 16

8 is the answer.

Kyle works 8 hours on Saturday.

Since 8 is twice the amount of 4, and 8 + 4 + 4 equals 16.

<em><u>#teamtrees #PWA (Plant And Water)</u></em>

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The distance between Columbus,Ohio and New York City is about 560 miles how many hours would it take the train to travel between

sergey [27]

Since the distance is 560 miles and the bus goes 268 miles per hour, the answer can be given as:
If 268=1 hour
560=?
560/268*1 hour =2(rounded to nearest ones)
Therefore it will take the train approximately 2 hours to travel between both cities.

3 0

4 years ago

The lifetimes of a certain type of light bulbs follow a normal distribution. If approximately 2.5% of the bulbs have lives excee

spin [16.1K]

Answer:

Mean = 339 hours

Standard deviation = 54 hours

Step-by-step explanation:

We are given that approximately 2.5% of the bulbs have lives exceeding 445 hours

So,P(x>445) = 0.025

P(x<445) =1- 0.025 =0.975

z value for 0.975 is 1.96

Formula : $z=\frac{x-\mu}{\sigma}$

So, $1.96=\frac{445-\mu}{\sigma}$

$1.96 \sigma =445-\mu$ --A

Now we are given that approximately 16% have lives exceeding 393 hours,

So,P(x>393) = 0.16

P(x<393) =1- 0.16 =0.84

z value for 0.84 is 1

Formula : $z=\frac{x-\mu}{\sigma}$

So, $1=\frac{393-\mu}{\sigma}$

$1 \sigma =393-\mu$ ---B

Solve A and B

Substitute the value of $\sigma$ from B in A

$1.96 (393 -\mu) =445-\mu$

$770.28 -1.96\mu=445-\mu$

$770.28 -445=1.96\mu-\mu$

$325.28=0.96\mu$

$\frac{325.28}{0.96}=\mu$

$338.83=\mu$

Substitute the value in B

$\sigma =393-338.83$

$\sigma =54.17$

So, mean = 339 hours

Standard deviation = 54 hours

5 0

3 years ago

Find a formula for Y(t) with Y(0)=1 and draw its graph. What is Y\infty?

tino4ka555 [31]

Answer:

$(a)\ y(t)\ =\ -2e^{-2t}+3$

$(b)\ y(t)\ =\ 4e^{-2t}-3$

Step-by-step explanation:

(a) Given differential equation is

Y'+2Y=6

=>(D+2)y = 6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

$y_c(t)\ =\ C.e^{-2t}$

To find the particular integral, we will write

$y_p(t)\ =\ \dfrac{6}{D+2}$

$=\ \dfrac{6.e^{0.t}}{D+2}$

$=\ \dfrac{6}{0+2}$

= 3

so, the total solution can be given by

$y_(t)\ =\ C.F+P.I$

$=\ C.e^{-2t}\ +\ 3$

$y_(0)=C.e^{-2.0}\ +\ 3$

but according to question

1 = C +3

=> C = -2

So, the complete solution can be given by

$y_(t)\ =\ -2.e^{-2.t}\ +\ 3$

(b) Given differential equation is

Y'+2Y=-6

=>(D+2)y = -6

To find the complementary function, we will write

D+2=0

=> D = -2

So, the complementary function can be given by

$y_c(t)\ =\ C.e^{-2t}$

To find the particular integral, we will write

$y_p(t)\ =\ \dfrac{-6}{D+2}$

$=\ \dfrac{-6.e^{0.t}}{D+2}$

$=\ \dfrac{-6}{0+2}$

= -3

so, the total solution can be given by

$y_(t)\ =\ C.F+P.I$

$=\ C.e^{-2t}\ -\ 3$

$y_(0)\ =C.e^{-2.0}\ -\ 3$

but according to question

1 = C -3

=> C = 4

So, the complete solution can be given by

$y_(t)\ =\ 4.e^{-2.t}\ -3$

4 0

3 years ago

A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width the volume of th

Sedaia [141]

Answer:

$Volume = 2x^{3}-4x^{2}$

Step-by-step explanation:

Let x be the width of the jewellery box

Given:

Length of the box is twice its width

Length of the box = $2\times width$

Length of the box = $2\times x= 2x$

depth of the box is equal to 2 inches less than its width.

depth of the box = $width-2$

depth of the box = $x-2$

The volume of the box is 64 inches.

Solution:

We know that the formula of the volume is.

$Volume = length\times width\times depth$

Now we substitute all known value in above.

$Volume = 2x\times x\times (x-2)$

$Volume = 2x^{2}(x-2)$

$Volume = 2x^{3}-4x^{2}$

Therefore, the equation of the volume of the box is.

$Volume = 2x^{3}-4x^{2}$

5 0

3 years ago

What is an equation of the line that passes through the points (-6, -2) and (-3,2)

Fantom [35]

Y=1 1/3x + 6

Slope = y2-y1/x2-x1
2- -2 = 4
-3 - -6 = 3
4/3 = 1 1/3

6 0

3 years ago

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