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3 years ago

Multiply and simplify.

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

10 g^4 h^9

Step-by-step explanation:

-5gh^4 * (-2g^3 h^5)

Rewriting

-5*-2 g*g^3 h^4*h^5

When the bases are the same, we add the exponents (x^a * x^b = x^ (a+b)

There is an implied 1 if there is no exponent

-5*-2 g^1*g^3 h^4*h^5

10 * g^(1+3) h^(4+5)

10 g^4 h^9

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The average hourly wage of workers at a fast food restaurant is $6.75 with a standard deviation of $0.25. If the distribution is

Sholpan [36]

Answer:

25% would be the answer

Step-by-step explanation:

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4 years ago

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
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take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
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8 0

4 years ago

For the filming of a recent sci-fi movie, a model spaceship made to a scale of 1:16 was used. In the movie, the ship is supposed

Lunna [17]

Answer: 6.5 feets

Step-by-step explanation:

The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.

In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,

1:16 = x:104

1/16 = x/104

16x = 104

x = 104/16 = 6.5feets

So the length of the model is 6.5 feets

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4 years ago

The graph shows the time and distance Mr. Patel has driven while on a business trip. What is the unit rate in miles per hour he

boyakko [2]

Answer:75. y/x = 75/1 = 75

Step-by-step explanation:

y/x = 75/1 = 75

7 0

3 years ago

What is the answer Factorise: 2x² +7x+6.<br><br>

Mila [183]

Answer:

2x + 3 )(x + 2 )

Step-by-step explanation:

2x² + 7x + 6

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:

6 & 1 but 6 · 2 + 1 = 13 or 6 + 2 · 1 = 8 No

2 & 3 and 2 · 2 + 3 = 7 Yes

2x² = 2x & x

all signs are positive

trinomial factoring ( )( )

( + )( + )

2 and 3 are the numbers to use (2x + 3 )(x + 2 ) or (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x + 3 )(x + 2 )

Check 2x(x + 2) + 3(x + 2)

2x² + 4x + 3x + 6

2x² + 7x + 6 checked

7 0

3 years ago

Read 2 more answers