rewrite the expression using rational exponents

Answer:

19

Step-by-step explanation:

20 - 8 = 12

12 + 5 = 17

17 - 7 = 10

10 + 9 = 19

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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The linear function that satisfies the given properties is f(x) = 5x - 39.

The equation of line in slope-intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given that the slope of f is 5.

Slope m = 5.

Plug the slope m = 5 and point (8,1) into the point-slope form and simplify:

( y - y₁ ) = m( x - x₁ )

( y - 1 ) = 5( x - 8 )

y - 1 = 5x - 40

y = 5x - 40 + 1

y = 5x - 39

Replace y with f(x):

f(x) = 5x = 39

Therefore, the linear function is f(x) = 5x = 39.

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The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1

We know that the  general formula for equation of a sine graph is;

y = A sin [(B(x - D)] + C

where;

A is Amplitude

Period = 2π/B.

Phase Shift = -C/B.

Vertical Shift = D.

From the graph;

A = 4

B = 2π/5π = 2/5

C = -1

D = -5/2

Thus;

y = 4 sin [(0.4(x + 2.5)] - 1

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Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

Answer:

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.

Step-by-step explanation:

11+1=12

Answer:

1:6

Step-by-step explanation:

you have one out of 6 chances to pick the yellow marble

Answer:

yellow is 1 out of 6

blue 1 of 5

Step-by-step explanation:

brainliest if u want

hope it helps

To find the z-score on a TI-84 calculator with the mean and standard deviation, use the "invNorm" function.

The z-score measures how many standard deviations a data point is away from the mean. On a TI-84 calculator, you can find the z-score using the "invNorm" function, which calculates the inverse of the cumulative distribution function (CDF) for the standard normal distribution.

To find the z-score, follow these steps:

1. Press the "2nd" button, followed by the "Vars" button to access the DISTR menu.

2. Scroll down or press "3" to select "invNorm(" and press "Enter".

3. Enter the desired area under the normal curve (probability), followed by a comma.

4. Enter the mean (μ) followed by another comma.

5. Enter the standard deviation (σ) and close the parentheses by pressing ")".

6. Press "Enter" to calculate the z-score.

The result displayed on the calculator will be the z-score corresponding to the given area, mean, and standard deviation. The z-score helps in understanding the relative position of a data point within a normal distribution by indicating the number of standard deviations it is above or below the mean.

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Answer:k=2.4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

Answer:

A

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  \(\underline{Q_{3} - Q_{1}}\)

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

Answer:

q=(1,5) t=(-2,3)r=(3,-1)s=(0,0)

Step-by-step explanation:

The value of the expression -13+√70 to the nearest tenth is -4.6

Arithmetic operations involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.

The expression -13+√70 comprises of addition of -13 and √70

The value of √70 is 8.4(to the nearest tenth).

Therefore the value of -13+√70

=-13+8.4

= -4.6( nearest tenth)

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The total amount of stockholders' equity that will be presented in the balance sheet is $1,340,000.

To determine the total amount of stockholders' equity presented on Ladder Distributors' March 31, 2020, balance sheet, we need to account for the reacquisition of 4,000 shares of common stock.

Initially, the balance sheet showed 20,000 shares issued and outstanding at a par value of $30 per share. This translates to a common stock balance of 20,000 shares * $30 par value = $600,000.

The balance sheet also indicated a paid-in capital in excess of par value of $240,000 and retained earnings of $700,000, resulting in a total stockholders' equity of $1,540,000.

On March 1, 2020, the company reacquired 4,000 shares of its common stock for $50 per share. The cost of this reacquisition is calculated as 4,000 shares * $50 per share = $200,000.

To determine the new stockholders' equity on the March 31, 2020, balance sheet, we subtract the cost of reacquisition ($200,000) from the total stockholders' equity on December 31, 2019 ($1,540,000). This gives us $1,540,000 - $200,000 = $1,340,000.

Therefore, the total amount of stockholders' equity that will be presented on Ladder Distributors' March 31, 2020, balance sheet is $1,340,000.

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Answer:

18

Step-by-step explanation:

PEMDAS

3x4=12

12+6=18

Hope this helps.

Answer:-4

Step-by-step explanation:

Answer:

-4 K12 here I can verify the guy above me.

Step-by-step explanation:

Answer:

18yi+ 21y^2

Step-by-step explanation:

answer 18 yi+21y2

step by step

Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.

These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.

2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.

3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.

4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.

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Answer: never true

Step-by-step explanation:

Answer:

y=10+1.50x

y=amount of money he can spend

x=the number of rides he can go on

The ordering of the number 2/3 and 7/11 is given as 7/11 < 2/3

An equation is an expression that shows the relationship between numbers and variables using mathematical expressions. Equations are classified based on degree as linear, quadratic, cubic

Given the number 2/3 and 7/11 needs to have a common denominator.

Hence:

2/3 = (2/3) * (11/11) = 22/33

Also:

7/11 = (7/11) * (3/3) = 21/33

Therefore:

7/11 < 2/3 because 21/33 < 22/33

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$1.48 is the sales tax

Step-by-step explanation:

$15.50 times 6% = 1.48

6%=.06. 1. amount of cost multiplied by amount sales tax,but you have to turn sales tax into decimal

The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Step-by-step explanation:

Plot the four zeroes as points on the x-axis (y = 0) then draw a positive quartic curve.

The probability of winning chess tournament is 0.375.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Let A₁ be the event of playing an opponent of type i.

A₁ = playing the half of the opponent pool where the probability of winning

P (winning∣A₁) = 0.3

A₂ = playing the half of the opponent pool type 2, where the probability of winning P(winning∣A₂) = 0.4

A₃ = playing the half of the opponent pool type 3, where the probability of winning P(winning∣A₃) =0.5

By total probability theorem, we get,

P(winning)=P(A₁) P(winning∣A₁) +P(A₂) P(winning∣A₂) +P(A₃) P(winning∣A₃)

P(winning)=50%×0.3+25%×0.4+25%×0.5

P(winning)=0.375.

The probability of winning chess tournament is 0.375.

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The probability of winning the game depends on the type of opponent. If the opponent is of type 1, the probability of winning is 0.3; type 2, 0.4; and type 3, 0.5.

The probability of winning the game depends on the type of opponent. There are three types of opponents: type 1, type 2, and type 3. Against type 1 opponents, the probability of winning is 0.3. Against type 2 opponents, the probability of winning is 0.4. Against type 3 opponents, the probability of winning is 0.5. As the opponent is chosen randomly, the probability of winning is the average of all three probabilities. This means that the probability of winning the game is 0.4. To calculate this, we first add the probabilities of winning against each type of opponent: 0.3 + 0.4 + 0.5 = 1.2. We then divide this result by the number of opponent types (3): 1.2/3 = 0.4. This means that the probability of winning the game is 0.4.

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Answer:

\( \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \)

\( \frac{4}{5} \times \frac{1}{3} = \frac{4}{15} \)

\( \frac{9}{10} \times \frac{8}{8} = \frac{9}{10} \)

\( \frac{8}{11} \times \frac{2}{5} = \frac{16}{55} \)

To determine the optimal order size for tomato sauce for Mama Rosa, we need to use the economic order quantity (EOQ) formula. This formula is given as:

Economic Order Quantity (EOQ) = sqrt(2DS/H)

Where: D = Annual demand

S = Cost per order

H = Holding cost per unit per year

Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  For Mama Rosa's tomato sauce ordering:

D = 360*120

= 43,200 Cost per order,

S = $50 Holding cost per unit per year,

H = 20% of

$1 = $0.20 Substituting the values in the EOQ formula,

we get: EOQ = sqrt(2*43,200*50/0.20)

= sqrt(21,600,000)

= 4,647.98 Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  

LT = Lead time

V = Variability of demand during lead time Lead time is given as 5 days and variability of demand is the standard deviation, which is given as 50 quarts.

To determine the reorder point, we Using the z-score table, the z-score for a 2% service level is 2.05. Substituting the values in the safety stock formula. use the formula: Reorder point = (Average daily usage during lead time x Lead time) + Safety stock Average daily usage during lead time is the mean, which is given as 120 quarts. Substituting the values in the reorder point formula, we get: Reorder point = 622.9 quarts Therefore, Mama Rosa should order tomato sauce when her stock level reaches 622.9 quarts.

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