12^-2 in the simplest form

Answer:

3x^3y^7.

Step-by-step explanation:

8 * x^2 * y^3 * 3/8 * x * y^4

= 8 * 3/8 * x^2 * x * y^3 * y^4

= 3x^3y^7.

Answer:

3x^3y^7

Step-by-step explanation:

( 8 x^2 y^3) *( 3/8 x y^4)

Multiply the coefficients

8 * 3/8 = 3

Multiply the x terms

x^2*x = x^3

Multiply the y terms

y^3 * y^4 = y^(3+4) = y^7

Put them back together

3x^3y^7

Answer:

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:

[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]

Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:

[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]

Multiply both sides by 500 to isolate [tex]d[/tex]:

[tex]500*tan(42)=d\\450=d[/tex]

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Answer:

A.  10(15) + 10n = $ made for babysitting

B. $270

Step-by-step explanation:

B. 10(15) + 10(12)

150 + 120 = $270

Answer:

In my opinion, I think a sum of 5.

Step-by-step explanation:

Since you are tossing two dice, you will likely get a higher value than 3.

How many ways can a 3 come up ?

1  -  2

2  -  1

How many ways can a 5 come up ?

1  -  4

2  -  3

3  -  2

4  -  1

There are four ways to roll a 5, but only two ways to roll a 3.

So a sum of 5 is more likely.

Answer:

cost price of book is Rs. 570

Answer:

Hello,

remainder is 15/8

Step-by-step explanation:

[tex]\begin{array}{c|ccc|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&1&1&1\\x=\dfrac{1}{2} &&\dfrac{1}{2} &\dfrac{3}{4} &\dfrac{7}{8} \\---&---&---&---&---\\&1&\dfrac{3}{2}&\dfrac{7}{4}&\dfrac{15}{8}\\\end{array}\\\\\\x^3+x^2+x+1=(x-\dfrac{1}{2} )*(x^2+\dfrac{3}{2}x+\dfrac{7}{4}) +\dfrac{15}{8}[/tex]

p = 6/11.

So we have a bag that contains 6 red marbles and 6 green marbles.

Then the total number of marbles that are in that bag is:

6 + 6  = 12

There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.

Now we draw two marbles, we want to find the probability that one is red and the other is green.

The first marble that we draw does not matter, as we just want the second marble to be of the other color.

So, suppose we draw a green one in the first attempt.

Then in the second draw, we need to get a red one.

The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)

Then the probability is:

p = 6/11.

Notice that would be the exact same case if the first marble was red.

Then we can conclude that the probability of getting two marbles of different colors is:

p = 6/11.

Answer:

BC = 6.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =opp /adj

tan C = AB / BC

tan 45 = 6.8/ BC

BC = 6.8 / tan 45

BC = 6.8 / 1

BC = 6.8

Answer: Choice D. 6.8

Step-by-step explanation:

45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.

Answer:

Always

Step-by-step explanation:

Bisects means to divide in half

90/2 = 45

So the angles are each 45 degrees

Answer:

a).

[tex] \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree[/tex]

since sine is in the 2nd quadrant, other angle = 180° - x:

[tex]2x = 45 \degree, \: 135 \degree[/tex]

we must make two rotations since it's a double angle:

[tex]2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ [/tex]

divide each angle by 2:

[tex]x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ [/tex]

Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}

b).

[tex] \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) [/tex]

since ans is negative, we take the quadrants of cosine and tangent:

[tex]3z = 204.8\degree, \: 335.2\degree [/tex]

we make three rotations:

[tex]3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ [/tex]

answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}

Answer:

C

Step-by-step explanation:

f is neither even nor odd

Answer:

x + y + z.

Step-by-step explanation:

x² + y² + 2xy - z²

= (x + y)^2 - z^2

This is the difference between 2 squares so the factors are:

(x + y + z) and (a + y - z).

Answer: The factors are (x+y+z) and (x+y-z)

In other words, it factors to (x+y+z)*(x+y-z)

=====================================================

Work Shown:

[tex]x^2 + y^2 + 2xy - z^2\\\\(x^2 + 2xy + y^2) - z^2\\\\(x+y)^2 - z^2\\\\(x+y+z)(x+y-z)\\\\[/tex]

Notes:

Answer:

(5,3)

Step-by-step explanation:

Evaluate (2x+3,y-1=5,3)

Then you will get 5,3

So then your answer will be (5,3)

Heres your answer! Enjoy :D

Answer:

x = 1, y = 4

Step-by-step explanation:

Equating the corresponding coordinates

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

and

y - 1 = 3 ( add 1 to both sides )

y = 4

C 72°

Answer:

we have

f(c)=9/5C+32

now

22°C to °F

°C=22°

we have

f(c)=9/5C+32

f(c)=9/5*22+32=71.6≈72

answer is

22°C=72°F

Answer:  [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{72^\circ F}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} f(c)=\frac{9}{5} c+32 \ \ in \ \ our \ \ case \\\\\\\\f(22)=\frac{9\cdot 22}{5} +32=39,6+32=7\underline1,6\approx72^\circ F[/tex]

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

Answer:

B

Step-by-step explanation:

The correct answer is B

Answer:

maybe it's D ( not sure tho)

Answer:

The length of each hot dog is 0.5000 inches.

Step-by-step explanation:

Total number of hot dogs eaten = 7 000 000 000

Circumference of the earth = 24 860 miles

21.5 times the circumference of the Earth = 21.5 x 24 860 miles

                                                = 534490 miles

But,

1 mile = 5280 feet

So that,

534490 miles = X

X = 5280 x 534490

   = 287707200 feet

Also,

1 feet = 12 inches

Then,

287707200 feet = Y

Y = 12 x 287707200

   = 3452486400 inches

Thus,

the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]

                     = 0.4932

The length of each hot dog is 0.5000 inches.

Answer:

(2,2)

Step-by-step explanation:

x=4-y

2 ( 4 - y )+ 3y= 12

2y = 12 -8

y= 2

substitute y in first eq. :

x=4 - 2

x= 2

Answer:

helloo thereeee

we do such construction from a making bc arc then from b and c making x just when we need to make

Angle bisector

hope that helps ig :)

A is the answer to your question

To solve this, just distribute the 4 to each of the coefficient and see if it would result in the same coefficients in the original expression

Answer:

firstly find the gradient given by the equation

m=y2-y1/x2-x1

in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16

m=-16+8/-17+12

=-8/-5 or1.6

then use the equation

y-y1=m(x-x1)

y+8=1.6(x+12)

y+8=1.6x+19.2

y=1.6x+11.2

I hope this helps and sorry if it's wrong

Answer:

3p+2p+8-3=15

5p+5=15

5p=15-5

5p=10

p=10/5

p=2

have a great dayy.

Answer:

p = 2

Step-by-step explanation:

One is given the following equation:

3p + 2p + 8 - 3 = 15

Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.

3p + 2p + 8 - 3 = 15

5p + 8 - 3 = 15

5p + 5 = 15

Inverse operations,

5p + 5 = 15

5p = 10

p = 2

Answer:

6:150

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

1:25

Step-by-step explanation:

1.5m=150cm

6:150

1:25

Answer:

x = 25/2

y = 5

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

4x+8y = 18y

We also know that 18y +90 = 180 since they form a straight line

18y +90 = 180

Subtract 90 from each side

18y+90-90=180-90

18y = 90

y =5

Now we can solve for x

4x+8y = 18y

4x+8y-8y = 18y-8y

4x = 10y

Since y = 5

4x = 10(5)

4x = 50

4x/4 = 50/4

x = 25/2

x = 50/4