Three times the smaller of two consecutive EVEN integers IS four less than twice the larger. What are the two integers?

Simplify the expression m 4/5x m1/10

BlackZzzverrR [31]

Answer:

√x4

Step-by-step explanation:

(x^2+x−3)⋅(x^2−4)

(y^2+6y+8)−(y^2+y−12)

8 0

3 years ago

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

zhenek [66]

Answer:

96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

Step-by-step explanation:

We are given that a group of researchers at the BYU Off-Campus Housing department want to estimate the mean monthly rent that unmarried BYU students paid during winter 2018.

During March 2018, they randomly sampled 314 BYU students and found that on average, students paid $346 for rent with a standard deviation of $86.

So, the pivotal quantity for 95% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = average rent paid by 314 BYU students = $346

s = sample standard deviation = $86

n = sample of students = 314

$\mu$ = population mean monthly rent of all unmarried BYU students

So, 96% confidence interval for the population mean monthly rent, $\mu$ is ;

P(-2.082 < $t_3_1_3$ < 2.082) = 0.96

P(-2.082 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.082) = 0.96

P( $-2.082 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X -2.082 \times {\frac{s}{\sqrt{n} } }$ , $\bar X +2.082 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $346 -2.082 \times {\frac{86}{\sqrt{314} } }$ , $346 +2.082 \times {\frac{86}{\sqrt{314} } }$ ]

= [335.89 , 356.10]

Therefore, 96% confidence interval estimate for the mean monthly rent of all unmarried BYU students in winter 2018 is [335.89 , 356.10].

5 0

3 years ago

Summer is having a pool party at her house In the ice chest me are of lemonade and 13 bottles of water If she randomly grabs abo

zlopas [31]

Probability =

   (number of ways it can come out the way you want it to)
divided by
   (total number of ways it can come out).

Total number of ways it can come out =

      number of bottles in the cooler

   = (10 + 15 + 13) = 38 .

Number of ways it can come out the way you want it to =

   (soda + lemonade)

      = (10 + 15) = 25 .

Probability of coming out the way you want it to =

   25 / 38 = about 65.8 % .

7 0

2 years ago

Simplify<br> (2x-³y⁴)³(x³+y⁰)÷(4xy-²)³

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

-4x³(-2x³)

8x⁶

(6⁵)/(6⁴)

6

(3x³)³

27x⁹

(9¹²)/(9⁸)

9⁴

(x²)(x³)

x⁵

(x⁴)/(x²)

x²

-x(-x)(x)

x³

(x³y²)/(x³y⁴)

(1)/(y²)

-2x(x²)(-3x)

6x⁴

(9x⁷)/(3x⁶)

3x

3x²(x²)(-6)

-18x⁴

x/(x³)

1/(x²)

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(x⁴)(x³)

x⁷

(12x⁵)/(36x)

x⁴/3

(x⁴y³)/(x⁴y)

y²

(-2x³)(-4x²)

8x⁵

(-3x²)³

-27x⁶

(x³y⁵)/(xy²)

x²y³

2x³(10x)³

2000x⁶

(x⁷y²)/(x⁴y²)

x³

x⁻⁴

1/x⁴

(-21x⁵y²)/(7x⁴y⁵)

-(3x)/y³

3x⁻³

3/x³

(32x³y²z⁵)/(-8xyz²)

-4x²yz³

...

x⁴y⁴

(4x⁷/7y²)²

(16x¹⁴)/(49y⁴)

...

8x³

4⁻⁴

1/(4⁴) or 1/256

...

a⁵

8⁻²

1/(8²) or 1/64

...

2c⁷

x⁻²

1/x²

...

9x²

x⁻³

1/x³

...

a⁴

x⁻⁴

1/x⁴

...

4c⁵

x²y⁻³

(x²)/(y³)

When multiplying monomials with the same base, ___________ the exponents

add

x³y⁻²

(x³)/(y²)

When dividing monomials with the same base, ______________ the exponents

subtract

x²y³z⁻⁴

(x²y³)/(z⁴)

When raising a power to a power, ________________ the exponents

multiply

x²y⁻³z⁴

(x²z⁴)/(y³)

x⁻²y⁻³

1/(x²y³)

A base raised to a zero exponent equals________________

one

(2m²)(2m³)

4m⁵

(x/y)⁻¹

y/x

4r⁻³(2r²)

8÷r

(x²/y²)⁻¹

y²/x²

2x³y⁻³(2x⁻¹y³)

4x²

(x³/y³)⁻¹

y³/x³

2y²(3x)

6y²x

(x/y)⁻²

y²/x²

4a³b²(3a⁻⁴b⁻³)

12÷(ab)

(x²/y²)⁻³

y⁶/x⁶

4r⁰

4

(2/3)⁻²

9/4

(4xy)⁻¹

1÷(4xy)

(4/5)⁻²

25/16

(3/4)⁻²

16/9

(3/4)⁻¹

4/3

(x³/x⁻⁶)

x⁹

(x²/x⁻⁵)

x⁷

x⁰

1

y⁰

1

x²y⁰

x²

x²y³z⁰

x²y³

y⁰

1

100⁰

1

(-99)⁰

1

x⁰(x⁴)(x⁻⁶)

1/x²

(x⁻³)/(x⁴)

1/x⁷

(x⁻⁴)/(x⁵)

1/x⁹

(4x³/2x⁵)⁰

1

(x⁻⁵y⁴)/(z⁻²)

(y⁴z²)/x⁵

(15x⁶y⁻⁹)/(5xy⁻¹¹)

3x⁵y²

(48x⁶y⁷z⁵)/(-6xy⁵z⁶)

-(8x⁵y²)/z

Is it a monomial? 11

Yes; 11 is a real number and an example of a constant.

Is it a monomial? a - b

No; this is the difference, not the product, of two variables.

Is it a monomial? p²/r²

No; this is the quotient, not the product, of two variables.

Is it a monomial? y

Yes; single variables are monomials.

Is it a monomial? j³k

Yes; this is the product of two variables.

Is it a monomial? 2a + 3b

No; this is the sum of two monomials.

Simplify x²(x³)(x⁶)

x¹¹

Simplify x(x²)(x⁷)

x¹⁰

Simplify (y²z)(yz²)

y³z³

Simplify (y²z²)(y³z)

y⁵z³

Simplify (a²b⁴)(a²b⁴)

a⁴b⁸

Simplify (ab²)(a³b²)

a⁴b⁴

Simplify (2x²)(3x⁵)

6x⁷

Simplify (5x⁷)(4x²)

20x⁹

Simplify (4xy³)(3x³y⁵)

12x⁴y⁸

Simplify (7x⁵y²)(x²y³)

7x⁷y⁵

Simplify (-5x³)(3x⁸)

-15x¹¹

Simplify (-2x⁴y)(-4xy)

8x⁵y²

Simplify (10²)³

10⁶ or 1,000,000

Simplify (x³)¹²

x³⁶

Simplify (-6x)²

36x²

(-3x)³

-27x³

(3xy²)²

9x²y⁴

(2x³y⁴)²

4x⁶y⁸

Find the area of a rectangle if the length is x² and the width is x⁵.

x⁷

Find the area of a square if the side length is xy.

x²y²

Find the area of a triangle with base 9x³ and height 4x.

18x⁴

Simplify (-5x²y)(3x⁴)

-15x⁶y

Simplify (2ab²c²)(4a³b²c²)

8a⁴b⁴c⁴

Simplify (3xy⁴)(-2x²)

-6x³y⁴

(4x³y)(-2x⁵)

-8x⁸y

(-15xy⁴)(-xy³)

15x²y⁷

(-xy)³(xz)

-x⁴y³z

(-4x²y)²(-½xy²)

-8x⁵y⁴

(0.2x²y³)²

0.04x⁴y⁶

(½xy³)²

¼x²y⁶

(0.4x³)³

0.064x⁹

[(x²)²]²

x⁸

[(x²)³]⁴

x²⁴

Find the area of a rectangle whose length is 6x²y⁴ and width is 3xy²

18x³y⁶

Find the area of a triangle whose base is 4x²y and height is 6xy³

12x³y⁴

Find the volume of a cube whose side length is 3x².

27x⁶

Find the volume of a rectangular prism whose side lengths are x³y, xy³, and y.

x⁴y⁵

5 0

2 years ago

Which is the least expensive per oz? 12 oz for $5.28 or 18 oz for $7.96. round to the nearest cent?

blondinia [14]

5.28 / 12 = 0.44 per oz
7.96 / 18 = 0.4422 rounds to 0.44 per oz

technically, by rounding to the nearest cent, they are the same cost.

6 0

2 years ago

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