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3 years ago

Find the given value of the function. w(t) = 3t – 1; t = 4.2

Mathematics

1 answer:

Ierofanga [76]3 years ago

4 0

Answer:

11.6

Step-by-step explanation:

Hopefully you want it solved, because that's what I'm about to do!

In order to solve this, you need to insert the value of t (which is 4.2) into the equation.

w(t) = 3 (4.2) - 1

Now that 4.2 is in the place of t, you solve it like you would any equation. Starting with multiplying 3 and 4.2 to get 12.6, and then subtracting one from that to get 11.6

Hope this helps!

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The probability of winning a prize in the drawing is one in a million. What is the probability if not winning a prize in the dra

wel

Answer: Its 999,999

Step-by-step explanation:

You just take your chance of losing and minus your chance of winning to it.

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3 years ago

Jason paid $24 for a 30 pound bag of dog food. What was the cost per pound of the dog food?

katen-ka-za [31]

Answer:

$0.80 per pound

Step-by-step explanation:

I hope this helps <3

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3 years ago

Solve the given linear Diophantine equation. Show all necessary work. A) 4x + 5y=17 B)6x+9y=12 C) 4x+10y=9

aliina [53]

Answer:

A) (-17+5k,17-4k)

B) (-4+3k,4-2k)

C) No integer pairs.

Step-by-step explanation:

To do this, I'm going to use Euclidean's Algorithm.

4x+5y=17

5=4(1)+1

4=1(4)

So going backwards through those equations:

5-4(1)=1

-4(1)+5(1)=1

Multiply both sides by 17:

4(-17)+5(17)=17

So one integer pair satisfying 4x+5y=17 is (-17,17).

What is the slope for this equation?

Let's put it in slope-intercept form:

4x+5y=17

Subtract 4x on both sides:

5y=-4x+17

Divide both sides by 5:

y=(-4/5)x+(17/5)

The slope is down 4 and right 5.

So let's show more solutions other than (-17,17) by using the slope.

All integer pairs satisfying this equation is (-17+5k,17-4k).

Let's check:

4(-17+5k)+5(17-4k)

-68+20k+85-20k

-68+85

That was exactly what we wanted since we were looking for integer pairs that satisfy 4x+5y=17.

Onward to the next problem.

6x+9y=12

9=6(1)+3

6=3(2)

Now backwards through the equations:

9-6(1)=3

9(1)-6(1)=3

Multiply both sides by 4:

9(4)-6(4)=12

-6(4)+9(4)=12

6(-4)+9(4)=12

So one integer pair satisfying 6x+9y=12 is (-4,4).

Let's find the slope of 6x+9y=12.

6x+9y=12

Subtract 6x on both sides:

9y=-6x+12

Divide both sides by 9:

y=(-6/9)x+(12/9)

Reduce:

y=(-2/3)x+(4/3)

The slope is down 2 right 3.

So all the integer pairs are (-4+3k,4-2k).

Let's check:

6(-4+3k)+9(4-2k)

-24+18k+36-18k

-24+36

That checks out since we wanted integer pairs that made 6x+9y=12.

Onward to the last problem.

4x+10y=9

10=4(2)+2

4=2(2)

So the gcd(4,10)=2 which means this one doesn't have any solutions because there is no integer k such that 2k=9.

6 0

3 years ago

He list shows the growth in centimeters of 12 plants during one week. 6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14 Which box plot best

kumpel [21]

Answer:

Step-by-step explanation:

Hello!

You have the growth of 12 plants over a week (cm)

To construct a box plot you have to identify the 1st, 2nd, and 3rd Quartiles for the box and the maximum and minimum values for the whiskers.

Box

1st Quartile (Q₁)

Is the value of the data set that separates the bottom 25% from the top 75%. First, you need to calculate its position:

PosQ₁= n/4= 12/4= 3

So the first quartile is the third value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₁= 7

2nd Quartile/ Median (Q₂/Me)

PosMe= 12/2= 6

The second quartile in the 6th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₂=Me= 8

3rd Quartile (Q₃)

PosQ₃= n*(3/4)= 12*(3/4)= 9

The third quartile is the 9th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₃= 10

The left whisker extends from the Q₁ to the minimum value.

The right whisker extends from the Q₃ to the maximum value.

Min= 6

Max= 14

'------| | |-------'

6 7 8 10 14

The box plot that best displays a summary of the data, is C.

I hope this helps!

3 0

4 years ago

What is 1/5 x 5 1/3? help please

Law Incorporation [45]

Answer:

1 1/15

Step-by-step explanation:

(I think)

And I am not a very good explainer

(sorry)

8 0

3 years ago