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PolarNik [594]
3 years ago
7

Simplify 4 to the 2nd power ⋅ 4 to the 8th power.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

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Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
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Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

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m\approx 2.55,b\approx -6.435

Substitute these values in (i).

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Therefore, the correct option is A.

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Sin(x) + sin(3x) = 4 sin(x) cos^2(x)<br> Prove the identity.
salantis [7]

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\bf sin(x)+sin(3x)=\underline{4sin(x)cos^2(x)} \\\\[-0.35em] ~\dotfill\\\\ sin(x)+sin(3x)\implies 2sin\left( \cfrac{x+3x}{2} \right)cos\left( \cfrac{x-3x}{2} \right) \\\\\\ 2sin\left( \cfrac{4x}{2} \right)cos\left( \cfrac{-2x}{2} \right)\implies 2sin(2x)cos(-x)\implies 2\boxed{sin(2x)} cos(x) \\\\\\ 2\boxed{2sin(x)cos(x)} cos(x)\implies \underline{4sin(x)cos^2(x)}

6 0
4 years ago
Help me anyoneeee. Match them
yKpoI14uk [10]
3/5 = 0.6
0.15 = 3/20
7/8 = 0.875
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6 0
3 years ago
PLZ HELP WITH THIS QUESTION PLZ CORRECT ANSWERS!!! LOVE YOU THNX
iogann1982 [59]

Answer:

1) The value of x= 0.0642

2) sin\theta=\frac{P}{H}=\frac{24}{25}

cos\theta=\frac{B}{H}=\frac{7}{25}

tan\theta=\frac{P}{B}=\frac{24}{7}

cosec\theta=\frac{H}{P}=\frac{25}{24}

cot\theta=\frac{B}{P}=\frac{7}{25}

Step-by-step explanation:

1) Given : A right angle triangle with sides x and 10 and angle is 50°

To find : Value of x

Solution : Since, it is a right angle triangle

Therefore, we apply cos\theta=\frac{B}{H}

Where Base = x, Hypotenuse= 10, angle = 50°

cos(50)=\frac{x}{10}

0.642=\frac{x}{10}

0.0642=x

The value of x= 0.0642

2) Given : sec\theta=\frac{25}{7}

To find : Value of sin\theta,cos\theta,tan\theta,cosec\theta,cot\theta

Solution : We have given sec\theta=\frac{25}{7}

sec\theta=\frac{H}{B}

so, B= 7 , H=25

By Pythagoras theorem,

H^2=P^2+B^2

25^2=P^2+7^2

625-49=P^2

\sqrt{576}=P^2

P=24

Now, P=24, B=7, H=25

sin\theta=\frac{P}{H}=\frac{24}{25}

cos\theta=\frac{B}{H}=\frac{7}{25}

tan\theta=\frac{P}{B}=\frac{24}{7}

cosec\theta=\frac{H}{P}=\frac{25}{24}

cot\theta=\frac{B}{P}=\frac{7}{25}



5 0
3 years ago
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