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Ivenika [448]
1 year ago
10

What value of n makes the statement true? 6xn · 4x2 = 24x6

Mathematics
2 answers:
Rom4ik [11]1 year ago
8 0
We check first the numerical coefficients of both sides of the equation if they match if we perform the operation.
                        (6)(4) = 24
Then, the variables. For multiplication with the same variables, the exponents are added. In the given above,
                                 n + 2 = 6
The value of n should be 4. 
snow_tiger [21]1 year ago
6 0

Answer:

n = 4

Explanation :

1. You have the following expression given in the problem above:

(6x^n)(4x^2)=24x^6

2. By the exponents properties, when you multiply powers with the same base, you must sum the exponents. In this case the base is , therefore, you must sum the exponents.

3. The result of the sum is 6, therefore,  must be 4:

(6x^4)(4x^2)=24x^6

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y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945

\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\  ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}

(b)
Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
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3 0
2 years ago
H(y) models the leading number of home runs for season y on the National League between the years 2000-2010, according to the ta
alexandr1967 [171]

Answer:

Integers

2000\leqx\leq2010

Step-by-step explanation:

3 0
2 years ago
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What is the lateral area of a right rectangular prism that has rectangular bases measuring 3" by 5" and a height of 6"?
Mademuasel [1]

Answer:

The answer is the option A

96\ in^{2}

Step-by-step explanation:

we know that

The lateral area of a right rectangular prism is equal to

LA=P*h

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter

P=2*(3+5)=16\ in

h=6\ in

substitute in the formula

LA=16*6=96\ in^{2}

6 0
2 years ago
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Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (
solniwko [45]

Answer:

Step-by-step explanation:

Hello, please consider the following.

A. (x minus y)(y minus x)

  (x-y)(y-x)=-(x-y)(x-y)=-(x-y)^2

   This is not a difference of squares.

B. (6 minus y)(6 minus y)

   (6-y)(6-y)=(6-y)^2

   This is not a difference of squares.

C. (3 + x z)(negative 3 + x z)

   This is a difference of squares.

   \boxed{(3+xz)(-3+xz)=(xz+3)(xz-3)=(xz)^2-3^2}

D. (y squared minus x y)(y squared + x y)

   This is a difference of squares.

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E. (64 y squared + x squared)(negative x squared + 64 y squared)

   This is a difference of squares.

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Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
1 year ago
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Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can p
Tomtit [17]

Answer: 30 baskets.

<u>Step-by-step explanation:</u>

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

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You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

4 0
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