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Makovka662 [10]
3 years ago
7

Whats the decimal for 47.103

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

that is a decimal

Step-by-step explanation:

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Evaluate the following pic
GREYUIT [131]

Answer:

1) \sqrt{1225}+\sqrt{1024}=67

2)  \sqrt[3]{-1331}=-11

3) Evaluating 2:p :: p:8 we get p=\pm 4

4) x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}

5) \frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6

Step-by-step explanation:

1) \sqrt{1225}+\sqrt{1024}

Prime factors of 1225 : 5x5x7x7

Prime factors of 1024: 2x2x2x2x2x2x2x2x2x2

\sqrt{1225}+\sqrt{1024}\\=\sqrt{5\times5\times7\times7}+\sqrt{2\times2\times2\times2\times2\times2\times2\times2\times2\times2}\\=\sqrt{5^2\times7^2}+\sqrt{2^2\times2^2\times2^2\times2^2\times2^2}\\=5\times7+(2\times2\times2\times2\times2)\\=35+32\\=67

\sqrt{1225}+\sqrt{1024}=67

2) \sqrt[3]{-1331}

We know that \sqrt[n]{-x}=-\sqrt[n]{x} \ ( \ if \ n \ is \ odd)

Applying radical rule:

\sqrt[3]{-1331}\\=-\sqrt[3]{1331} \\=-\sqrt[3]{11\times\11\times11}\\=-\sqrt[3]{11^3} \\Using \ \sqrt[n]{x^n}=x \\=-11

So, \sqrt[3]{-1331}=-11

3) 2:p :: p:8

It can be written as:

p*p=2*8\\p^2=16\\Taking \ square \ root \ on \ both \ sides\\\sqrt{p^2}=\sqrt{16}\\p=\pm 4

Evaluating 2:p :: p:8 we get p=\pm 4

4) x^3+y^2+z \ when \ x=3, y=-2, x=-6

Put value of x, y and z in equation and solve:

x^3+y^2+z \\=(3)^3+(-2)^2+(-6)\\=27+4-6\\=25

So, x^3+y^2+z \ when \ x=3, y=-2, x=-6 \ we \ get \ \mathbf{25}

5) \frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}

We know (-a)^n = (a)^n when n is even and (-a)^n = (-a)^n when n is odd

\frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}\\\\=\frac{1296\times-8\times 27}{46656}\\\\=\frac{-279936}{46656} \\\\=-6

So, \frac{(-6)^4\times(-2)^3\times(3)^3}{(-6)^6}=-6

8 0
3 years ago
Which transformation makes triangle 2 the image of triangle 1?
KATRIN_1 [288]

Answer:

translation

Step-by-step explanation:

translation is just the movement of a shape, also stays the same size and way

7 0
3 years ago
Read 2 more answers
3(x+3)=30 i have literally forgotten everything about algebra
zhannawk [14.2K]

3(x+3)=30

3x+9=30

3x=21

x=7


3 0
3 years ago
A student fond the slope of a line that passes through the points (-8,-6) and (2,-3) to be 3/10. what mistake did she make?
goldfiish [28.3K]
Simple ....

we know to find slope is (y1-y2)/(x1-x2)

if we plug in what we know......

(-8,-6),(2,-3)

(-6--3)/(-8-2)

it turns into...

(-6++3)/(-8+-2)

(-3)/(-10)= 3/10

Thus, your answer is that she made no mistake. (C)
4 0
3 years ago
2. Factorizar: 3ax – 3ay – 2bx + 2by<br>help please :(
nekit [7.7K]

Answer:

There are no like terms.

Step-by-step explanation:

basically that is your answer you can not solve so it will be 3ax – 3ay – 2bx + 2by

7 0
3 years ago
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