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Tpy6a [65]
2 years ago
5

Anyone know the answer?

Mathematics
2 answers:
Margarita [4]2 years ago
8 0

Answer: 3/4

Step-by-step explanation:

9/12 divide by 3/3= 4/3

frosja888 [35]2 years ago
4 0

Answer:

3/4

Step-by-step explanation:

3*3=9

3*4=12

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How do you factor the trinomial 3p^2-2p-5
asambeis [7]
Use slip and slide method
p^2-2p-15
(p-5)(p+3)

(p-5/3)(p+3/3)
(p-5/3)(p+1)
(3p-5)(p+1)

Final answer: (3p-5)(p+1)
7 0
3 years ago
Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change
Afina-wow [57]
First, lets create a equation for our situation. Let x be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span>f(x)=25x+100
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }. So lets replace the values in our formula to find the average of our function:
\frac{25(10)+100-[25(2)+100]}{10-2}
\frac{350-150}{8}
\frac{200}{8}
25

We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>
6 0
3 years ago
Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3). Part A: If triangle ABC is dilated by a scale fact
Kobotan [32]

The new coordinates of A'B'C' creates a triangle that is larger than ABC.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>

If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).

Given that:

  • Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)

If it is dilated by a scale factor of 3, the new point is at:

  • A'(12, 15), B'(15, 9) and C'(6, 9)

Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.

Find out more on dilation at: brainly.com/question/10253650

8 0
3 years ago
Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2
nlexa [21]

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

4\left(n\right)-3=-2\left(n\right)+9

remove the parentheses

4n-3=-2n+9

Add 3 to both sides

4n-3+3=-2n+9+3

Simplify

4n=-2n+12

Add 2n to both sides

4n+2n=-2n+12+2n

Simplify

6n=12

Divide both sides by 6

\frac{6n}{6}=\frac{12}{6}

Simplify

n=2

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

5 0
3 years ago
A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading
Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

Young Modulus = Stress/Strain ------- Make Stress the Subject of Formula

Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

Stress = 0.002 * 15.5

Stress = 0.031Msi

Calculating the area of the rod

Area = πr² or πd²/4

Area, A = 22/7 * 0.5^4 / 4

A = 22/7 * 0.25 / 4

A = 5.5/28

A = 0.1964in²

The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

1 lbf = 4.4482N

So, Force = 6089 * 4.4482N

Force = 27085.09 N

b.

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

7 0
4 years ago
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