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4 years ago

The perimeter of a square tent is 82 feet. Find the area of the ground which the tent will cover

Mathematics

1 answer:

melamori03 [73]4 years ago

7 0

Answer:

420.25

Step-by-step explanation:

If the perimeter is 82, each side is 20.5. Then you do 20.5 x 20.5 to get 420.25.

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A single-serving bag of trail mix has 10 raisins, 12 cashews, 8 peanuts, 2 Brazil nuts, 10 pumpkin seeds, and 8 dried cranberrie

EastWind [94]

Answer:

The probability is 1/5, or 20%

Step-by-step explanation:

There are 40 total items in the bag, and 8 of them are peanuts.

$\frac{8}{40}$ simplified is $\frac{1}{5}$

3 0

3 years ago

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What is the mass of the tomato?

d1i1m1o1n [39]

100 grmas thats lightwork (no punn intended) =)

6 0

3 years ago

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Jamison graphs the function ƒ(x) = x4 − x3 − 19x2 − x − 20 and sees two zeros: −4 and 5. Since this is a polynomial of degree 4

Art [367]

We are given polynomial function f(x)= $x^4-x^3-19x^2-x-20$

We are given two zeros -4 and 5.

Therefore, x=-4 and x=5 is given.

So, the two factors of the polynomial will be (x+4)(x-5).

Let us write some steps to factor the given polynomial.

Let us take above factor (x+4) first.

On factoring (x+4) we get factors

$x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x^3-5x^2+x-5\right)$

$\mathrm{:Let \ us \ factor}\:x^3-5x^2+x-5 \ now.$

Grouping

$=\left(x^3-5x^2\right)+\left(x-5\right)$

Factoring out gcf from each group, we get

$=x^2\left(x-5\right)+\left(x-5\right)$

$=\left(x-5\right)\left(x^2+1\right)$

So, the final factored form of given polynomial will be

$x^4-x^3-19x^2-x-20=\left(x+4\right)\left(x-5\right)\left(x^2+1\right)$

For first to factors (x+4) and (x-5) we have given roots: -4 and 5.

Let us find the root of third factor we got.

$x^2+1=0$

Subtracting both sides by 1.

x^2 = - 1.

On taking square root on both sides, we get a square root(-1)

$x=\sqrt{-1}=$ + i and -i.

Those are imaginary solutions.

Therefore, correct option is B) No, there are two imaginary solutions.

5 0

4 years ago

[-9,-4] U (-4, 19)<br><br><br> Simplify the following Union and/or intersection

Kay [80]

The union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.

A set is simply a mathematical model for a collection of different things which could be elements or members.

Union of sets represented with '∪' is the combination of two sets without repetition

Intersection of sets represented with '∩' is the sum of elements common between the.

From the expression given, we have;

[-9,-4] U (-4, 19)

= { -4, -9 , 19}

[-9,-4] U (-4, 19)

= { -4}

Thus, the union and intersection of the sets is given as { -4, -9 , 19} and { -4} respectively.

Learn more about sets here:

brainly.com/question/2166579

#SPJ1

6 0

2 years ago

Can anyone answer me this question

yuradex [85]

Question 1:

For this case we have the following functions:

$f (x) = 4x + 1\\g (x) = x ^ 3 + 1$

We must find $g_ {o} f (0$ ):

By definition we have to:

$g_ {o} f = g (f (x))\\f_ {o} g = f (g (x))$

$g (f (x)) = (4x + 1) ^ 3 + 1$

We substitute $x = 0$ :

$g (f (0)) = (4 (0) +1) ^ 3 + 1 = 1 ^ 3 + 1 = 2$

So, we have that $g (f (0)) = 2$

Answer:

$g (f (0)) = 2$

Question 2:

For this case we have the following functions:

$f (x) = 4x + 1\\g (x) = x ^ 3 + 1$

We must find $f_ {o} g (0)$ :

By definition we have to:

$f_ {o} g = f (g (x))\\f (g (x)) = 4 (x ^ 3 + 1) + 1 = 4x ^ 3 + 4 + 1 = 4x ^ 3 + 5$

We substitute $x = 0$ :

$f (g (0)) = 4 (0) ^ 3 + 5 = 5$

Answer:

$f (g (0)) = 5$

Question 3:

For this case we must find the inverse of the following function:

$h (x) = \frac {2x + 1} {3}$

To do this, we follow the steps below:

We change y for $h (x)$ :

$y = \frac {2x + 1} {3}$

We exchange variables:

$x = \frac {2y + 1} {3}$

We clear the value of the variable "y":

$3x = 2y + 1\\3x-1 = 2y\\y = \frac {3x} {2} - \frac {1} {2}$

We change y for $h^{ -1} (x)$ :

$h ^{ - 1} (x) = \frac {3x} {2} - \frac {1} {2}$

Answer:

$h ^ {- 1} (x) = \frac {3x} {2} - \frac {1} {2}$

3 0

4 years ago