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3 years ago

5

What goes into 125 3 times

2 answers:

Sergeu [11.5K]3 years ago

4 0

Answer:

41r6

Step-by-step explanation:

you dived 125 by 3

docker41 [41]3 years ago

4 0

Answer:

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Question 78 find the value of x

gladu [14]

For this case we have that by definition, the volume of a parallelepiped is given by:

$V = l * w * h$

Where:

l: It's the long

w: It is the width

h: It's the height

From the figure we have the following data:

$V = 975 \ ft ^ 3\\h = 9 \ ft\\w = 4ft\\x =?$

We must find the value of the length of the parallelepiped:

$975 = x * 4 * 9\\975 = 36x\\x = \frac {975} {36}\\x = 27.083$

Answer:

$x = 27.1 \ ft$

5 0

3 years ago

Help find zeros for 9 and 10

Bingel [31]

<span><span> x4-10x2+9=0</span> </span>Four solutions were found :<span> x = 3 x = -3 x = 1 x = -1</span>

Step by step solution :<span>Step 1 :</span>Skip Ad
<span>Equation at the end of step 1 :</span><span> ((x4) - (2•5x2)) + 9 = 0 </span><span>Step 2 :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> x4-10x2+9</span>

The first term is, <span> <span>x4</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> <span>-10x2</span> </span> its coefficient is <span> -10 </span>.
The last term, "the constant", is  <span> +9 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 9 = 9</span>

Step-2 : Find two factors of   9  whose sum equals the coefficient of the middle term, which is <span> -10 </span>.

<span> -9 + -1 = -10 That's it</span>

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  -1
                     <span>x4 - 9x2</span> - <span>1x2 - 9</span>

Step-4 : Add up the first 2 terms, pulling out like factors :
                    <span>x2 • (x2-9)</span>
              Add up the last 2 terms, pulling out common factors :
                     1 • <span>(x2-9)</span>
Step-5 : Add up the four terms of step 4 :
                    <span>(x2-1)  •  (x2-9)</span>
             Which is the desired factorization

<span>Trying to factor as a Difference of Squares : </span>

<span> 2.2 </span>     Factoring: <span> x2-1</span>

Theory : A difference of two perfect squares, <span> A2 - B2  </span>can be factored into <span> (A+B) • (A-B)

</span>Proof :<span>  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 <span>- AB + AB </span>- B2 =
        <span> A2 - B2</span>

</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication.

Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1
Check : <span> x2  </span>is the square of  <span> x1 </span>

Factorization is :       (x + 1)  •  (x - 1)

<span>Trying to factor as a Difference of Squares : </span>

<span> 2.3 </span>     Factoring: <span> x2 - 9</span>

Check : 9 is the square of 3
Check : <span> x2  </span>is the square of  <span> x1 </span>

Factorization is :       (x + 3)  •  (x - 3)

<span>Equation at the end of step 2 :</span> (x + 1) • (x - 1) • (x + 3) • (x - 3) = 0 <span>Step 3 :</span>Theory - Roots of a product :

<span> 3.1 </span> A product of several terms equals zero.<span>

</span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span>

</span>We shall now solve each term = 0 separately<span>

</span>In other words, we are going to solve as many equations as there are terms in the product<span>

</span>Any solution of term = 0 solves product = 0 as well.

<span>Solving a Single Variable Equation : </span>

<span> 3.2 </span>     Solve  :    x+1 = 0<span>

</span>Subtract  1 from both sides of the equation :<span>
</span>                     x = -1

<span>Solving a Single Variable Equation : </span>

<span> 3.3 </span>     Solve  :    x-1 = 0<span>

</span>Add  1 to both sides of the equation :<span>
</span>                     x = 1

<span>Solving a Single Variable Equation : </span>

<span> 3.4 </span>     Solve  :    x+3 = 0<span>

</span>Subtract  3 from both sides of the equation :<span>
</span>                     x = -3

<span>Solving a Single Variable Equation : </span>

<span> 3.5 </span>     Solve  :    x-3 = 0<span>

</span>Add  3 to both sides of the equation :<span>
</span>                     x = 3

Supplement : Solving Quadratic Equation Directly<span>Solving <span> x4-10x2+9</span> = 0 directly </span>

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

<span>Solving a Single Variable Equation : </span>

Equations which are reducible to quadratic :

<span> 4.1 </span>    Solve  <span> x4-10x2+9 = 0</span>

This equation is reducible to quadratic. What this means is that using a new variable, we can rewrite this equation as a quadratic equation Using  w , such that <span> w = x2</span> transforms the equation into :
<span> w2-10w+9 = 0</span>

Solving this new equation using the quadratic formula we get two real solutions :
   9.0000  or   1.0000

Now that we know the value(s) of <span> w</span> , we can calculate <span> x</span> since <span> x</span> <span> is  </span><span> √<span> w </span></span>

Doing just this we discover that the solutions of
  <span> x4-10x2+9 = 0</span>
  are either :
  x =√<span> 9.000 </span>= 3.00000 or :
  x =√<span> 9.000 </span>= -3.00000 or :
  x =√<span> 1.000 </span>= 1.00000 or :
  x =√<span> 1.000 </span>= -1.00000

Four solutions were found :<span> x = 3 x = -3 x = 1 x = -1</span>

<span>
Processing ends successfully</span>

5 0

3 years ago

Help please<br><br> Factorise<br><br> x²-x-56<br><br> its due in 4 minutes

Iteru [2.4K]

Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x= $\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}$

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

7 0

3 years ago

Read 2 more answers

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t

torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that $p = 0.7$

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972$

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0

3 years ago

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!

zhuklara [117]

Answer:

51x^5y^3z^6

Step-by-step explanation:

Please give brainliest

8 0

3 years ago

Read 2 more answers