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Viktor [21]
3 years ago
10

On Monday it rained two and one-half inches. On Tuesday it rained three and three-fourths inches. How much did it rain in the tw

o days?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

2 1/2 + 3 3/4

get a common denominator ofr 4

2 1/2 *2/2 + 3 3/4

2 2/4 + 3 3/4

5 5/4

5 + 1 1/4

6 1/4 inches

Answer  6 1/4 in ches

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Explain in a complete sentence how to tell the difference between the power of power and the power of product rule. Please help
german

Answer:


Step-by-step explanation:

The power of a power rule is when power is raised to another power. (x^n)^m.  when you do this rule, you must multiply the exponents so, x^nm or x^n*m.

The product rule for exponents is used when there are multiple terms that are raised by an exponent that have the same base and ae being multiplied. x^3 * x^2. To solve this, you keep the base (x) and add the two exponents together (3 and 2) so, x^3+2 = x^5.

Hope this helped (:

4 0
3 years ago
If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
13. 11 = 2b +17 14. 5 = 4a -7
dedylja [7]

13.\ 2b+17=11\qquad|-17\\\\2b=-6\qquad|:2\\\\\boxed{b=-3}\\\\14.\ 4a-7=5\qquad|+7\\\\4a=12\qquad|:4\\\\\boxed{a=3}\\\\16.\ 2g-3=-19\qquad|+3\\\\2g=-16\qquad|:2\\\\\boxed{g=-8}\\\\17.\ 5x-9=16\qquad|+9\\\\5x=25\qquad|:5\\\\\boxed{x=5}\\\\19.\ 5+\dfrac{y}{8}=-3\qquad|-5\\\\\dfrac{y}{8}=-8\qquad|\cdot8\\\\\boxed{y=-64}


3 0
3 years ago
1 4/11 dividedd by 1 1/4
Gwar [14]
The answer is 1 1/11
5 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 m greater than the width. The area is 108m2. Find the Length and Width
Murljashka [212]
3x =108
X =108/3 =36
Length 36
4 0
3 years ago
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