Simplify the following expressions. Assume all variables are positive.
Exponents in simplified form should all be positive.
(81)
1.
493 · 494
2.
3
(81)
3.(16x24)

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

Answer:

opposite word of disperse

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer:

Step-by-step explanation:

Because the angles are opposite each other they are equal so we can say

4x-25=75

4x=100

x=25

x= 25

4x -25 = 75 ( vertically opposit angle)

4x = 100

x = 100/4

x= 25

angle = 75

hope it helps

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

Answer:

X=8

Step-by-step explanation:

48+22=70

4×8=48

so X is 8

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

Answer:

100

Step-by-step explanation:

Answer:

The answer would be -4.

Step-by-step explanation:

yeah I didn't do too good on that unit with the integers kind of thing so, yeah....

how I did this question: imagine if you owe someone $9 but you only have $5 so you give them those $5 so now you only owe them for dollars.

Answer:

POINTFARMER.EXE=EZ

Step-by-step explanation:

Answer:

120 feet^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

Answer:

Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.

Step-by-step explanation:

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

Answer:

the answer is =6a^3b^5−12a^2b^6−21a^2b^3

Step-by-step explanation:

hoped I helped:)

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

4n is the soultioncAnswer:

Step-by-step explanation:

Answer:

It has no solution, unless there's a specific way it needs to be solved

Step-by-step explanation:

The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number of games be represented as x

Let the cost for the total number of games be y

And , the values of x = { 2 , 5 , 7 }

Now , the values of y = { 9.00 , 22.50 , 31.50 }

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

On simplifying , we get

9 = k ( 2 )

Divide by 2 on both sides , we get

k = 4.5

And , 22.50 = k ( 5 )

Divide by 2 on both sides , we get

k = 4.5

Therefore , the proportionality constant is k = 4.5

Hence , the proportion is y = 4.5x

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The complete question is :

At a flea market, used computer games are sold at the prices shown in the table below.

Number of Games Price ($)

2 9.00

5 22.50

7 31.50

Do the Number of the games and price form a proportional relationship? choose correct response

1. Yes there is a constant of proportionality of 11.25.

2. Yes there is a constant of proportionality of 4.50.

3. No there is not a constant of proportionality.

4. No the Slope is 4.5

Answer:

y = -2/7x + 4

Answer:

$640 is how much she will make in in regular hours.

Step-by-step explanation:

Create an equation from the word problem and solve.

Option A is correct, $640 is the pay for her regular hours.

Two or more expressions with an Equal sign is called as Equation.

Given that Tania earns $16 per hour at the Glendale Florist.

She regularly works 40 hours per week.

She is paid time-and-a-half for each hour of overtime work

Last week she worked 43 hours.

We need to find the payment she received for her regular hours.

16h is the expression to find the pay for h hours.

As she work for 40 hours.

Now plug in h as 40.

16×40

$640

Hence, option A is correct, $640 is the pay for her regular hours.

To learn more on Equation:

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Step-by-step explanation:

<c =90 °

So, Pythagoras theorem can be used,

Hypotenuse ² = base ² + altitude ²

AB²=AC²+BC²

11²=AC²+4²

11²-4²=AC²

121-16=AC²

Root 105=AC

AC=10.2 cm

The length of AC is 10.25 cm

If ΔABC is a right angle triangle, then

AB² = BC²+AC²

where AB = Hypotenuse, BC & AC are adjacent sides of the right angle

Given, hypotenuse = AB = 11 cm

One of adjacent sides = BC = 4 cm

We have to find the length of AC.

Using pythagorean theorem,

AB² = BC²+AC²

⇒ AC² = AB² - BC²

⇒ AC² = 11²-4²

⇒ AC² = 121-16

⇒ AC = √105

⇒ AC = 10.25

So the length of AC = 10.25 cm

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Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

Answer:

[tex]\angle EHG = 80[/tex]

Step-by-step explanation:

Given

ABC ∼ EHG

See attachment

Required

Determine [tex]\angle EHG[/tex]

First, we calculate x in ABC

[tex]x + 2x + 60= 180[/tex]

[tex]3x + 60= 180[/tex]

[tex]3x = 120[/tex]

[tex]x = 40[/tex]

The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]

and

[tex]\angle ABC = 2x[/tex]

[tex]\angle ABC = 2 * 40[/tex]

[tex]\angle ABC = 80[/tex]

Hence:

[tex]\angle EHG = 80[/tex]

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night

3(2x-5)+2x+3=1

6x-15+2x+3=1

8x-12=1

    +12 +12

8x=13

/8   /8

x=1.625

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sorry if this doesn't help

Answer:

39^2-15^2=1296

/

put this number in a square root and it will give you=36

×=36

Step-by-step explanation:

hypotenuse minus short side it gives another short side