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3 years ago

How do I do this question I am super confused

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Answer:

Step-by-step explanation:

The length of the rectangle is 6 inches shorter than the length of s, while the width of the rectangle is 1 inch longer than the length of s

Length of rectangle = s -6

Width of rectangle = s + 1

P rectangle = 2L + 2W or 2(L+W)

=> 2((s-6)+(s+1))

=> 2(2s-5)

=> 4s - 10

You might be interested in

If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.

Irina18 [472]

yo sup??

as mentioned earlier XUY is simply the summation of all the unique elements of X and Y

S=XUY

={-1,0,1,2,5}

Therefore your answer is option 1 ie

1.{-1,0,1,2,5}

Hope this helps.

5 0

4 years ago

Read 2 more answers

At what x value does the function given below have a hole?<br><br> f(x)=x+3/x2−9

S_A_V [24]

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

4 0

3 years ago

You go to the doctor and he gives you 13 milligrams of radioactive dye. After 20 minutes, 4 milligrams of dye remain in your sys

Rudik [331]

Answer:

7 minutes

Step-by-step explanation:

At first, I thought this was a hal-life problem, but there was too much left unknown to fill in the half-life equation. So I went with exponential.

The general form of an exponential equation is

$y=a(b)^x$

where a is the initial amount given, b is the growth/decay rate (ours is decay since the amount of dye is decreasing), y is the amount of dye in your system after x minutes.

We have to come up with a model for this situation before we can answer the question. The equation has 2 unknowns: a and b. We need to solve for those. In order to do that, we need 2 coordinate points to sub in for x and y. The first coordinate point in (time, amt dye) is (0, 13). This means that immediately upon arriving at the doctor, after 0 time has gone by, you were given 13 mg of dye.

The second coordinate point is (20, 4). This means that after 20 minutes, you had 4 mg of dye in your system.

Use the first coordinate point to solve for a:

$13=a(b)^0$

Since anything in the world raised to a power of 0 is 1, then

a = 13.

Now we will use the second coordinate point along with that value of a to solve for b:

$4=13(b)^{20}$

Begin by dividing both sides by 13 to get

$\frac{4}{13}=b^{20}$

Now you have to undo that power of 20 by taking the 20th root of both sides:

$\sqrt[20]{\frac{4}{13} }=\sqrt[20]{b^{20}}$

The right side simplifies down to just b, and the 20th root of the left side is .9427701685

Therefore, b = .9427701685

The model, then, is:

$y=13(.9427701685)^x$

We need to use that model now to solve for x, the number of minutes it will take for y = 2 mg of dye to remain in your system. That looks like this:

$2=13(.9427701685)^x$

Begin by dividing both sides by 13 to get

$\frac{2}{13}=.9427701685^x$

We need to get that x out of the position in which it is currently sitting, which is as the exponent. Do that by taking the natural log of both sides. That allows us to bring the exponent down out front:

$ln(\frac{2}{13})=x*ln(.9427701685)$

To solve for x, divide both sides by ln(.9427701685). I have entered the values of the natural logs in the next step:

$\frac{-.4054651081}{-.0589327498}=x$

Divide to get

x = 6.9 or 7 minutes

7 0

4 years ago

6. James had 114 baseball cards. He kept 14 for himself and shared the rest among his 10 friends,

kakasveta [241]

Answer:

Im not really sure but this is what I would do.

Step-by-step explanation:

114 - 10 = 104

104 divided by 10 = each friend can get 10 but 4 of the friends will get 1 extra one.

8 0

3 years ago

Easy problem for you guys to solve

Zepler [3.9K]

In the ΔIJH, the value of the cosec (I) is $1\frac{9}{56}$ .

Given ΔIJH the length of the hypotenuse is 65, the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

= $1\frac{9}{56}$

Hence the value of cosec (I) is $1\frac{9}{56}$ .

Learn more about trigonometric function here: brainly.com/question/24349828

#SPJ10

6 0

2 years ago