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Rzqust [24]
2 years ago
11

What value of n makes the equation true?

Mathematics
2 answers:
dsp732 years ago
7 0
SE NÃO ME ENGANO A RESPOSTA É A 10
marishachu [46]2 years ago
7 0

Answer: <u>(Brainlesssss plsssssss)</u>

10

explaniion:

given that:

(2x^9y^n)(4x^2y^10)=8x^11y^20

the value of n that will make the inequality true will be found as follows;

(2x^9y^n)(4x^2y^10)=8x^11y^(n+10)

thus;

8x^11y^(n+10)=8x^11y^20

dividing through by 8x^11 we get;

y^(n+10)=y^20

introducing the natural logs we get;

(n+10)lny=20lny

lny will cancel out and we shall remain with;

n+10=20

thus

n=20-10

n=10

the answer is n=10

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How do I simplify a fraction? For example if the question is 7 1/5 divided by 2 2/15 what would I do to simplify?
Westkost [7]
7 1/5:
Multiply the denominator and the whole number: 7*5 = 35 and then add the numerator: 35+1= 36/5. Then, do this for the following fraction, the improper fraction value of 2 2/15 is 32/15.
Now we need 36/5 & 32/15 to have common denominators so that we can simplify it a little less complicated.

For Instance,

36/5*3= 108/15

Now we divide, (108/15)/(32/15)
108/32= 3.375 = 3 3/8

Answer is 3 3/8.

Hope this was easy to understand!
3 0
3 years ago
Determine whether the triangles are congruent. Explain your reasoning .
MArishka [77]

Answer:

The triangles are congruent

Step-by-step explanation:

The Triangles are congruent because they have the same side lengths and and angle measures.

8 0
2 years ago
(look at the images) can i get help on these?
Svetlanka [38]

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

17

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = \sqrt{(1-7)^2+(-5-3)^2}

   = \sqrt{(-6)^2+(-8)^2}

   = \sqrt{36+64}

   = \sqrt{100} = 10

3 0
3 years ago
A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degree
Nina [5.8K]
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
                            A = πr²
Substituting,
                              A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m². 
5 0
3 years ago
What is the sum of the arithmetic series 18 sigma t-1 (5t-4)?
just olya [345]

Answer:

783

Step-by-step explanation:

We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)

The formula to find the sum of an Arithmetic series when first and the last term is known is:

S_{n}=\frac{n}{2}(a_{1}+a_{n})

Here,

n = Total number of terms = 18

a_{1} = First Term = 5(1) - 4 = 1

a_{18} = 18th Term = 5(18) - 4 = 86

Using the values in the above formula, we get:

S_{18}=\frac{18}{2}(1+86)\\\\ S_{18}=9(87)\\\\ S_{18}=783

Thus, the sum of 18 terms of the given Arithmetic Series is 783.

3 0
3 years ago
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