Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.

Answer:

A

Step-by-step explanation:

Answer:

12/28

Step-by-step explanation:

the answer is 12/28 because 12 are men and the rest are mos likely girls,

Answer:

12 / 28

Step-by-step explanation:

Given:

- 28 students total

- 12 are men

so 12 out of the 28 are men which is the same as 12 / 28

The displacement is represented from the starting position to the final position.

Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.

In this case, the displacement will be:

= Final position - Initial position

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Answer:

the number of chicken sandwiches = 9

Step-by-step explanation:

let x be the number of chicken sandwiches 

    y be the number of tuna sandwiches

We have to solve this system:

[tex]\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}[/tex]

4.5, 4.316, 4.32, 4.312

= 4.500, 4.316, 4.320, 4.312

Look at the thousandths and hundreths place in the decimal section.

Least to greatest = 4.312 < 4.316 < 4.32 < 4.5

The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

The problem can be solved as,

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Answer:

a)  No, it does not matter whether you roll the die or flip the coin first, as these two events are independent of each other, which means they do not affect each other.

b) Yes.

The likelihood that any outcome will occur will not change, as the events are independent.

c) see attached

d)   12 outcomes  (H = head, T = tail, numbers represent the value of the die)

H 1           T 1

H 2          T 2

H 3          T 3

H 4          T 4

H 5          T 5

H 6          T 6

e)  

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(even)=\dfrac{1}{6}+\dfrac{1}{6}+\dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(head)=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(even)\:and\:P(head)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}[/tex]

Answer:

157 - k = (However much she has left)

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

157 --> Base number

k --> how much money was spent

x --> money left over

157-k=x

Answer:

1 11/24

Step-by-step explanation:

u multiply both numeators and both denominators  for example 1 3/4     5/6 i would first turn 1 3/4 into 7/4 and then multiply

Using the t-distribution, it is found that:

At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:

[tex]H_0: \mu = 3.3[/tex]

At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:

[tex]H_1: \mu \neq 3.3[/tex].

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]

t = -11.18.

We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].

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The speed of the raft if the speed of the motorboat in still water is 3 km/h

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Let the speed of the raft (current) - r

Speed of motorboat - 12 km/h

The distance between villages - is 44 km

Let the time spent by Aniskin  - t

The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t

The distance the thief traveled = 44 - 27 = 17 km

We have the following equations:

r(8/3 + t) = 17

(12 - r)t = 27

Simplify the equations:

r(8/3 + t) = 17 ⇒ rt + 8/3r = 17

(12 - r)t = 27 ⇒ 12t - rt = 27

Add up the equations and solve for r:

rt + 8/3r + 12t - rt = 44

8/3r + 12t = 44

r = 16.5 - 4.5t

Substitute r into the second equation:

(12 - 16.5 + 4.5t)t = 27

4.5t² - 4.5t = 27

9t² - 9t - 54 = 0

Solving we get

t = 3 h

Find r:

r = 16.5 - 4.5*3 = 3 km/h

Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h

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Answer:

-7.35

Step-by-step explanation:

7/x = cos(60)

x = 7(cos(60))

x = 7/(-0.95)

x = -7.35

A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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Answer:

Below in bold.

Step-by-step explanation:

Speed = √(5^2 + (-12)^2)

= √169

= 13,

Direction = arctan (5/-12)

= -22.61 degrees     ( its in the 4th quadrant)

So we can write the direction as 90 + 22.61

= 112.61 degrees.

Answer:

∠ e = 20°

Step-by-step explanation:

you should have also subtracted 2e from the 360

since UV is a straight line, the angles lying on it sum to 180° , that is

90° + e + 70° = 180°

e + 160° = 180° ( subtract 160° from both sides )

e = 20°

The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241

The given parameters are:

P(D) = 0.27

P(P) =0.58

P(D and P) = 0.14

The required probability is then calculated using:

P(D | P) = P(D and P)/P(P)

This gives

P(D | P) = 0.14/0.58

Evaluate

P(D | P) = 0241

Hence, the required probability is 0.241

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Answer:

2

Step-by-step explanation:

8gallons=16 cup

8x16=128

62+2=64

128÷2=64

Answer:

38.88

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

             - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         What is -4x+2>26?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

First subtract 2 on both sides, which results in

-4x>24

Now, divide by -4 on both sides:

x<-6

The inequality sign changed because we divided both sides by a negative number.

So the values of x less than -6 will make this inequality true (will satisfy the inequality).

           - - - - - - - -  - - - - - - - - - - - - - - - - - - - -

Answer: $86.65

Step-by-step explanation:

First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.

Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

The sum of the infinite geometric sequence 16, 8, 4, 2 is 32

The sum can be represented as follows:

s∞ = a / 1  - r

where

r = common ratio

a = first term

Therefore,

r = 8 / 16 = 1 / 2

a = 16

hence,

s = 16 / 1 - 1 / 2

s = 16 / 1 / 2

s = 16 × 2 / 1

s = 32

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Answer:

Both of the prism are similar , Then

prism A is 10m and it's surface area is 880m²

Now,

prism B is 3m and it's surface area will be = 264m²

Answer:

False,

Step-by-step explanation:

The set that contains no elements is the null set Ф.

Answer: True

Step-by-step explanation: Where all inclusive set comprises of a set of all elements, the purge set contains no elements of the subsets.