Write X^-2y^0z^2/xy using only positive exponents

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation:

Answer:

200 apples

Step-by-step explanation:

30/n=15/100

30x100=3000

3000/15=200

Answer:

n =200

Step-by-step explanation:

\( \frac{30}{n} = \frac{15}{100} \\ \\ 30 \times 100 = 3000 \\ \\ 3000 \div 15 = 200\)

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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Answer:

there are 12 dogs.

Step-by-step explanation:

d= dogs              now plug in the 4 into your equation.

c= cats                  d=3(4)

d+c=16                   d=12

3c+c=16

4c=16                        SO THEREFORE THERE ARE 12 DOGS :)

c=4            

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

The daily lunch sets cost $6, while the special lunch sets cost $36.

A linear equation with two variables consists of the greatest power of a variable being one.

Now, for the given condition in the question;

Let the price of the daily lunch set is 'x'.

Let the price of the special lunch set is 'y'.

Then, 2 daily lunch sets and 3 special lunch sets costs $120.

2x + 3y = 120     .......(equation 1)

And, 5 daily lunch sets and 2 special lunch sets costs $157.

5x + 2y = 157    ......(equation 2)

Using elimination method to solve equation 1 and 2.

y = 36 (price of each special lunch sets)

x = 6 (price of each daily lunch sets)

Therefore, the price for the daily lunch sets is $6 and price for special lunch sets is $36 in an restaurant.

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If 3 and 4 are the legs of a right triangle, the hypotenuse is 5.

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

The theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, sometimes called the Pythagorean equation

\(\sf a^2+b^2=c^2\)

Given the question above, we need to find the hypotenuse if 3 and 4 are the legs of a right triangle.

So,

\(\sf a^2+b^2=c^2\)

\(=\sf 9+16=25\)

\(\sf \sqrt{25}=5\)

Hence, the hypotenuse is 5 if 3 and 4 are the legs of a right triangle.

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K' = (5, 3)

The initial coordinates: K (10, 6)

scae factor = 1/2

This means we would half the x and y coordinates to get the new vertice (K')

K' = 1/2 (10, 6)

K' = (10/2, 6/2)

K' = (5, 3)

Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).

Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.

Given Equation: 2x² + 8x - 90

Step 1: Pull out like factors from the equation

 ⇒ 2x² + 8x - 90  =   2 • (x² + 4x - 45)

Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)

   ⇒ x²+ 9x - 5x - 45

Step 3: Take Common factors from the two pairs of the equation

⇒ x(x + 9) - 5(x + 9)

Step 4: Rewrite the polynomial in factored form

  ⇒ 2(x + 9)(x - 5)

Therefore the factorization result is 2(x + 9)(x - 5).

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Answer:

IV

Step-by-step explanation:

Answer:

The Quadrent it would be in would be the bottom right.

Step-by-step explanation:

Go over 6 units on the x axis, then go down 4 (because it is a negative).

The expression that does not represent the same function as y = 2x + 4 is B, which is y = 2x - 4.

A. y = 2(x + 2)

With x = 1, we obtain y = 2(1 + 2) = 6.

The resultant value of y is 6, which corresponds to the value of y when x = 1 for the formula y = 2x + 4. As a result, y = 2x + 4 is represented by the same function as this expression.

B. y = 2x - 4

With x = 1, we obtain y = 2(1) - 4 = -2.

When y = 2x + 4 and x = 1, the value of y obtained is -2, which is not identical to the value of y when x = 1. The function represented by this statement is therefore distinct from that of y = 2x + 4.

C. y = 2(x + 4) - 8

With x = 1, we obtain y = 2(1 + 4) - 8 = 2.

The obtained value of y is 2, which differs from the value of y when

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Answer: johnny will beat up ava and take his three apples back

Answer:

I'm assuming you mean how many would Johnny have left. If not I am providing both answers. Johnny has 3 apples leftover. Ava has 3 apples, now.

Step-by-step explanation:

Johnny's apples: 6-3 = 3

Ava's apples: 0+3 = 3

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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The Solution:

Given:

Required:

To find the lateral surface area of the above rectangular prism in centimeters.

Step 1:

Definition:

Step 2:

So, applying the formula, we get

In this case,

Substituting these values in the formula, we get

Therefore, the correct answer is 36 square centimeters [option 2]

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

Answer:

867 cm^2

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The probability of selecting a yellow ball is approximately 37%.

P(yellow)=37%.

What is probability ?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability is used in many areas of mathematics, science, and everyday life to help us make decisions, assess risk, and understand uncertainty. It is an important concept in statistics, which uses probability to study and analyze data.

According to the question:

To find the probability of selecting a yellow ball, we need to divide the number of yellow balls by the total number of balls in the bag.

Total number of balls = 15 green + 18 yellow + 16 orange = 49

So, the probability of selecting a yellow ball is:

P(yellow) = Number of yellow balls / Total number of balls = 18/49

Rounding to the nearest percent, we get:

P(yellow) ≈ 37%

Therefore, the probability of selecting a yellow ball is approximately 37%.

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

Answer:

22°

Step-by-step explanation:

arctan(A) = 100/249

∡A = 22°

Answer:

Give me branilest first you scammer

Step-by-step explanation:

Concept:- In mixed fractions, we will have one whole number and a proper fraction. So, first we should convert them into improper fractions, which has the numerator greater than the denominator. After, converting to that we should convert the unlike fractions to like fractions by the method of LCM of denominators. Then, we can sub all the fractions so that we can get the answer.

Explanation:

{8(9/10)} - {3(2/3)}

Convert all mixed fractions to proper fractions.

= {(80+9)/10} - {(9+2)/3}

Now, add the both numerators.

= (89/10) - (11/3)

LCM of 10 & 3 is 30.

= {(89*3)/(10*3)} - {(11*10)/(3*10)}

Now, multiply the numerator and denominator of all fractions.

= (267/30) - (110/30)

Write all numerators with common denominator.

= {(267-110)/30}

Subtract the fraction and write it in simplest form.

= 157/30

Write the obtained answer in the form of mixed fraction.

= {5(7/30)}.

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Answer:

6

Step-by-step explanation:

You add 3 and 5 to get 8 and then you will subtract 2 from 8 to get 6

Answer:

  (-∞, 29/7) ∪ (29/7, ∞)

Step-by-step explanation:

The only value of k that will make the system have something other than one solution is the value that puts it in the same proportion as the coefficients in the first equation.

  3/21 ≠ k/29

  k ≠ 29/7 . . . . . . multiply by 29 and simplify

So, "all values of k" will be ...

  (-∞, 29/7) ∪ (29/7, ∞)

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

Answer:

A) P(X>275) = 0.01

B) P(230<M<260) = 0.99

Step-by-step explanation:

We have a normal distribution with mean: 240 calories and standard deviation: 15 calories.

To find the probability that an individual doughnut for this brand contains more than 275 calories, we calculate the z-score for X=275 in this normal distribution, and then calculate the probability for this z-score with the standard normal distribution:

\(z=\dfrac{X-\mu}{\sigma}=\dfrac{275-240}{15}=\dfrac{35}{15}=2.33\\\\\\P(X>275)=P(z>2.33)=0.01\)

In the case we are talking about a sample mean, we use the standard deviation of the sample distribution.

The standard deviation for the sample means is equal to the standard deviation of the population divided by the square root of the sample size (in this case, n=12). The mean of the sampling distirbution is expected to be equal to the population mean.

\(\mu_s=\mu=240\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{15}{\sqrt{12}}=\dfrac{15}{3.4641}=4.33\)

We have to calculate the probability that this sample mean is within 230 and 260.

\(z_1=\dfrac{M_1-\mu}{\sigma}=\dfrac{230-240}{4.33}=\dfrac{-10}{4.33}=-2.309\\\\\\z_2=\dfrac{M_2-\mu}{\sigma}=\dfrac{260-240}{4.33}=\dfrac{20}{4.33}=4.619\\\\\\P(230<M<260)=P(z<4.619)-P(z<-2.309)\\\\P(230<M<260)=1-0.01=0.99\)

7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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