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emmainna [20.7K]
3 years ago
5

Estimate by first rounding each number to the nearest integer.

Mathematics
1 answer:
posledela3 years ago
5 0
4 \frac{1}{9} + 2\frac{ 2}{13} =4 \frac{13}{117} + 2\frac{ 18}{117} =6\frac{31}{117}\approx 6\\ \\Answer: \ \ C.\ \ 6


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A man pulls a refrigerator using 48 N of force. the refrigerator accelerates 0.35 M/S^2 what is the mass of the refrigerator?
nydimaria [60]

Answer:

b

Step-by-step explanation:

the answer is b 137 kg .

7 0
3 years ago
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H(x) = x4+ 2x3- 10x2 -18x+9
vichka [17]
Let's group the cubic function: h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1).

The first two roots are \pm3 however to find the last two roots we need to solve the square equation:

x^2+2x-1=0
\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8. Now we know the discriminator, using the discriminator we're able to find the roots of the equation: x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}. The roots of the square equation are x_{1}=-1-\sqrt{2} and x_{2}=\sqrt{2}-1.

The roots of the cubic function are \pm3, -1-\sqrt{2} and \sqrt{2}-1.
5 0
3 years ago
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1. 3(6a); for a=3<br>2. 5d(4); for d=-2​
Firdavs [7]

Answer:

Step-by-step explanation:

1. Solution for 3(6a)a=3 equation:

Simplifying

3(6a) * a = 3

Remove parenthesis around (6a)

3 * 6a * a = 3

Multiply 3 * 6

18a * a = 3

Multiply a * a

18a2 = 3

Solving

18a2 = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by '18'.

a2 = 0.1666666667

Simplifying

a2 = 0.1666666667

Take the square root of each side:

a = {-0.408248291, 0.408248291}

2.Solution for 5d(4)d=-2 equation:

Simplifying

5d(4) * d = -2

Reorder the terms for easier multiplication:

5 * 4d * d = -2

Multiply 5 * 4

20d * d = -2

Multiply d * d

20d2 = -2

Solving

20d2 = -2

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '20'.

d2 = -0.1

Simplifying

d2 = -0.1

Reorder the terms:

0.1 + d2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0

0.1 + d2 = 0.0

5 0
3 years ago
a rug shaped like a rectangle has a width of 3 m. the length if the rug is 2 m greater than its width. what is the perimeters of
irina1246 [14]
Yes it is 16, you do (3+3)+{(3+2)+(3+2)}
6 0
3 years ago
I need help finding the missing sides
Greeley [361]

Answer:

12

Step-by-step explanation:

15/5 = 3

4*3 = 12

d = 12

the hypotenuse is 5^{2} + 4^{2} = c^{2}

25+16 = c^{2}

41=c^{2}

\sqrt{41}

8 0
3 years ago
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