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3 years ago

Evaluate

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

Your search - 32y−3+53z23y−3+ 35z when y=6y=6 andz=3z=3. - did not match any documents.

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Step-by-step explanation:

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1. Simplify. 5–1(3–2)

konstantin123 [22]

Answer with explanation:

Using following law of indices

$1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}$

$1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}$

$9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9$

8. A number raised to a negative exponent is negative.

Explaining with the help of few examples

$1.2^{-3}=\frac{1}{2^3}=\frac{1}{8}\\\\ 2.(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{-1}{27}$

Option C: Sometimes

1.Option B

2.Option A

3.Option C

4.Option A

5.Option D

6. $81 \times 10^6$

7.Option B

8.Option C

9.Option A

10.Option $1.28 r^2 \times t^9$

4 0

3 years ago

Read 2 more answers

F(x)=2x+3 find x=9 explain how you got the answer please help me I need the answer today

hram777 [196]

You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21

6 0

3 years ago

30 points pls helppp

Phoenix [80]

Answer:

(y + 1) = 3( x +2)

Step-by-step explanation:

from equation,

y - y1 = m( x - x1)

given x1=2, y1= -1

m = 3 (slope)

substitute

y - (-1) = 3( x - 2)

ans: y+1= 3(x+2)

3 0

2 years ago

Write the quadratic equation whose roots are -3 and 2 , and whose leading coefficient is 5

KiRa [710]

Step-by-step explanation:

Since, roots are - 3 & 2

Therefore, (x + 3) & (x - 2) would be factors.

Leading coefficient is 5

Hence, required quadratic equation is:

$5(x + 3)(x - 2) = 0 \\ \therefore \: 5( {x}^{2} - 2x + 3x - 6) = 0\\ \therefore \: 5( {x}^{2} + x - 6) = 0\\ \therefore \: 5 {x}^{2} + 5x - 30 = 0\: \\ is \: the \: required \: quadratic \: equation.$

5 0

3 years ago

Dan bought 8 shirts and 3 pants. Devonte bought 12 shirts and 5 pants. For each person, write a ratio to represent the number of

shutvik [7]

Answer:

Step-by-step explanation:

Dan bought 8 shirts and 3 pants. This means that the ratio representing the number of shirts to the number of pants that Dan bought is 8/3 = 2.67

Devonte bought 12 shirts and 5 pants. This means that the ratio representing the number of shirts to the number of pants that Devonte bought is 12/5 = 2.4

Therefore, they are not equivalent ratios because the relationship is not exactly the same.

3 0

3 years ago