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3 years ago

HELP MY GRADE 9 PLS AND THANK YOU

Mathematics

1 answer:

Kryger [21]3 years ago

8 0

Answer:

64x²y²

Step-by-step explanation:

Use the great smart calculator

hope it helpz uuuuuuu

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Y2 = sinᵒ 2x + cos2y

sertanlavr [38]

Answer:

Step-by-step explanation:

trig identity

sin²x+cos²x=1

6 0

3 years ago

When 1,250 Superscript three-fourths is written in simplest radical form, which value remains under the radical?

Dvinal [7]

The value remains under the radical is 8 ⇒ last answer

Step-by-step explanation:

Let us revise how to write the exponent as a radical

$a^{\frac{m}{n}}$ can be written as $\sqrt[n]{a^{m}}$
To simplify the radical factorize the base "a" to its prime factors

Example:

$(54)^{\frac{2}{3}}=\sqrt[3]{(54)^{2}}$ ,
Factorize 54 into prime factors ⇒ 54 = 2 × 3 × 3 × 3 = $2(3)^{3}$
$\sqrt[3]{(54)^{2}}=\sqrt[3]{[2(3^{3}]^{2}}=\sqrt[3]{2^{2}*3^{6}}$
2² can not go out the radical because 2 is less than 3 not divisible by 3
$3^{6}$ can go out the radical because 6 is divisible by 3, then divide 6 by 3, so it will be 3² out the radical
$\sqrt[3]{(54)^{2}}=3^{2}\sqrt[3]{2^{2}}=9\sqrt[3]{4}$

Now let us solve your problem

∵ $1250^{\frac{3}{4}}=\sqrt[4]{1250^{3}}$

- Factorize 1250 to its prime factors

∵ 1250 = 2 × 5 × 5 × 5 × 5

∴ $1250=2*5^{4}$

∴ $\sqrt[4]{(2*5^{4})^{3}}=\sqrt[4]{2^{3}*5^{12}}$

∵ 2³ can not go out the radical because 3 < 4 and not divisible by it

- $5^{12}$ can go out the radical because 12 can divided by 4

∵ 12 ÷ 4 = 3

∴ $5^{12}$ can go out the radical as 5³

∴ $\sqrt[4]{1250}=5^{3}\sqrt[4]{2^{3}}$

∴ $\sqrt[4]{1250}=125\sqrt[4]{8}$

∴ The value remains under the radical = 8

The value remains under the radical is 8

Learn more:

You can learn more about the radicals in brainly.com/question/7153188

#LearnwithBrainly

8 0

3 years ago

Assume that there are 22 frozen dinners: 12 pasta, 6 chicken, and 4 seafood dinners. The student selects 5 of them. What is the

Stells [14]

Since, there are 22 frozen dinners. Out of these, 22 are pasta, 6 chicken and 4 seafood dinners.

We have to determine the probability that at least 2 of the dinners selected are pasta dinner. At least 2 of the dinners selected are pasta, it means that there can be 2 pasta, 3 , 4 or 5.

So, Probability with at least 2 of dinners

= $\frac{(^{12}C_{2} \times ^{10}C_{3})+ (^{12}C_{3} \times ^{10}C_{2})+(^{12}C_{4} \times ^{10}C_{1})+(^{12}C_{5})}{^{22}C_{5}}$

We will use the combination formula, which states $^nC_r = \frac{n!}{r! (n-r)!}$

= $\frac{(66 \times 120)+(220 \times 45)+(495 \times 10)+(792)}{26334}$

= $\frac{7920+9900+4950+792}{26334}$

= $\frac{23562}{26334}$

= 0.894

=0.90

Therefore, the probability that at least 2 of the dinners selected are pasta is 0.90

3 0

3 years ago

An RLC series circuit has an applied voltage of 240 volts. R = 48 ohm, XL = 100 ohm, and XC = 36 ohm. What is the circuit impeda

mihalych1998 [28]

9514 1404 393

Answer:

48 +j64 ohms

Step-by-step explanation:

The impedance of a series circuit is the sum ...

R + jXl -jXc

= 48 +j100 -j36

= 48 +j64 . . . . ohms

_____

<em>Additional comment</em>

"j" is the electrical engineer's name for √-1, because "i" is used to represent current.

5 0

3 years ago

A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of

MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.

Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m

5 0

3 years ago