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(please don't just copy your answer from another one. The other one available is wrong, so if you were to copy it, it would be a waste.)

How are rational exponents and radicals related? Summarize how to rewrite a rational power as a radical term using an example of your own.

Let get x from the first equation

-4x=+2y-10

x=-1/2y + 5/2

Now substitute the x in the second equation

3(-1/2y+5/2)+y=4

-3/2y + 15/2 + y =4

Move the terms without the y to the other side

-3/2y + y = -15/2 +4

Now multiple both side by 2

-3y +2y = -15+8

-y = -7

Y = 7 (ANSWER)

Now we substitute the y in the first equation so we can get the x

x = -1/2 (7) + 5/2

x = -7/2 + 5/2

x = -2/2

X = -1 (SECOND ANSWER)

is it 5 ft , 5ft and 5ft?

if so, the answer would be 125 ft

because, the formula is, side×side×side

and hence, 5×5×5 = 125

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer: A,B

Step-by-step explanation:.........

The cost of each chair is $6.2 and  the cost of each table is $1.34.

Let's solve this problem by assuming the cost of each chair as ‘c’ and the cost of each table as ‘t.’ We can create two equations from the information given we can obtain the values of ‘c’ and ‘t.’

From the given information, the first equation is ‘c + 4t = 53’ because the cost to rent one chair and four tables is $53. The second equation is ‘3c + 2t = 25’ because the cost to rent three chairs and two tables is $25.

We can solve this by either substitution or elimination, but the method we used earlier works - multiplying the first equation by 3 and subtracting the second equation from it, to obtain:

3c + 12t = 159

- (3c + 2t =25)

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

10t = 134

Therefore, the cost of each table is $13.4.

We can plug this value back into equation 1 and solve for c

c + 4(13.4) = 53

c + 53.6 = 53

c = -0.6

This isn't a possible solution as the cost of the chair cannot be negative.

Thus, we need to check if an error was made earlier. We can plug the value of t in the second equation:

3c + 2t = 25

3c + 2(13.4) = 25

3c + 26.8 = 25

This equation is contradictory, indicating that there is no solution. We need to revise the problem statement, a possible typo can be a misplaced decimal point for example, if the cost of each table is instead $1.34, all equations will hold, and the final answer will be:$6.2 and $1.34 respectively according to the question.

This is a possible solution and makes sense.

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Answer:

A

Step-by-step explanation:

Answer: R'=(6, -2)

S=(-6,9) ==> S'=(6, -9)

T=(-5,9) ==> T'=(5, -9)

U=(-5,2) ==> U'=(5, -2)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the rectangle will have all its coordinates' x and y values negated.

R=(-6, 2) ==> R'=(6, -2)

S=(-6,9) ==> S'=(6, -9)

T=(-5,9) ==> T'=(5, -9)

U=(-5,2) ==> U'=(5, -2)

In an experiment studying the effects of alcohol on social anxiety, alcohol is the dependent variable. So, correct option is option D.

Variables: The goal of all research is to describe and explain global dispersion. Variance is just the difference. That is, the fluctuations that occur naturally in the world, or the changes that occur as a result of manipulation. A variable is the name given to the variance you want to describe. A variable is the result of a force or is itself a force that changes another variable. There are two types of variables.

When researchers administer an active drug to one group of people and placebo or an inactive drug to another group of people, the independent variable is drug treatment. Each person's response to active drug or placebo is called the dependent variable.

In this case, an experiment examining the effects of alcohol on social anxiety. Alcohol is the dependent variable here.

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Answer:

n = 11

Step-by-step explanation:

Perimeter =  sum of all the sides

n + n - 3 + 2(n-2) = 37 units

n + n - 3 + 2n - 4 = 37             {Combine like terms}

n + n + 2n - 3 - 4  = 37

                 4n - 7 = 37

                       4n= 37 + 7

                       4n = 44

                         n = 44/4

n = 11

6% of 47.50 = 2.85

The tax money is $2.85

Step-by-step explanation:

so......im not certain about my solution,but this is what I think

f(x)=3x-2

replace f(x) with the latter Y

so its gonna be...y=3x-2

make x subject of the fomula

so is gonna be...y=3x-2

y-2=3x

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

hope this helps

Step-by-step explanation:

Answer: its true

Step-by-step explanation:

i got it right

Answer:

true it is true relly it is

Answer: x is 13

Step-by-step explanation:

90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)

Answer:

x=13

Step-by-step explanation:

The two angles are complementary, meaning that they both add up to 90°.

So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.

90-67=23

So the equation is equal to 23.

2x-3=23

Add 3 to both sides.

2x=26

Divide both sides by 2.

x = 13

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

The rate of the boat when it's still in water is 7mph.

Based on the information, one can denote that the travel times are the same. The formula to calculate the rate will be:

d1/v1 = d2/v2

where

v = rate

d = distance of miles.

This will be:

t = 16/(v - 3) = 40/(v + 3)

Cross multiply

40(v - 3) = 16(v + 3)

40v - 120 = 16v + 48

Collect like terms

40v - 16v = 48 + 120

24v = 168

Divide through by 24

24v/24 = 168/24

v = 7 mph

The rate is 7mph. This shows the concept of the calculation for rate.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

Answer: x is 15

Step-by-step explanation:

\({ \tt{6x - 12 = 78}}\)

» Apply the addition rule of equality by adding 12 on either sides:

\({ \tt{(6x - 12) + { \green{12}} = 78 + { \green{12}}}} \\ { \tt{6x = 90}}\)

» Apply the division rule of equality by dividing either sides by 6

\({ \tt{ \frac{6x}{{ \blue{6}}} = \frac{90}{{ \blue{6}}} }} \\ \\ { \tt{x = \frac{90}{6} }} \\ \\ { \underline{ \tt{ \: \: x = 15 \: \: }}}\)

• Checking the solution :

\({ \tt{6x - 12 = 78}}\)

» Substitute x with its value (15) in the equation:

\({ \tt{6(15) - 12 = 78}} \\ { \tt{90 - 12 = 78}} \\ { \boxed{ \tt{ \: 78 = 78 \: }}}\)

• Since the left hand side is equal to the right hand side, the value of x is consistent.

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

Answer:

1/2 < 0.545 < 6/11 < 1.5

Step-by-step explanation:

I used calculator soup order sorter.

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Answer:

17/3x9/2=153/6=51/2=25 1/2

Step-by-step explanation:

Answer:

25.5.

Step-by-step explanation:

5 2/3 x 4 1/2 = (5+2/3)x(4+1/2)=((15+2)/3)x((8+1)/2)=(17/3)x(9/2)=153/6=25.5.

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

2 Sisters 3 Brothers

Step-by-step explanation:

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