What is the least value of x that satisfies
the equation below?
|2x - 11 = 23

Answer:

X= 11 Y= 7 Z= 55

Step-by-step explanation:

125+ z= 180. Z= 55.

55+ (8x+37) =180. —> 92 +8x = 180. Subtract 92 from both sides. 8x = 88. Divide both sides by 8. X =11. 8(11) + 37 = 125 for that angle. Then 125+(6y+13) = 180 —>138 + 6y = 180. Subtract 138 from both sides. 6y= 42. Divide both sides by 6. Y = 7

Answer: It should be:

X=11

Y=7

Z=55

Step-by-step explanation:

8x+37=125, 125 - 27 = 88 / 8x = 11

6y+13=z : 180-125 = z {55}

6y+13=55, 55-13 = 42 / 6y = 7

Answer:

(-6, 4)

Step-by-step explanation

translation rule: (x+1,y-3)

(-7+1, 7-3)

(-6, 4)

Answer:

The same shape but aren't always the size. Corresponding angles must be congruent. Corresponding sides are proportional.

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

Mean = (4+5+6+3)/4 = 4.5 bubbles

The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

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Answer:

Step-by-step explanation:

Where's the data shown ma'maaa.

Given data:

Two dice rolled together.

The events when sum is is greater than or equal to 8 are,

The expression for the probability when sum is greater than or equal to 8 is,

Thus, the probability when sum is greater than or equal to 8 is 5/12.

There are several types of values that individuals and societies hold. Here are the differences among global values, terminal values, instrumental values, and domain-specific values:

Global values are values that are considered important across cultures and societies. These values are often seen as universal and are not specific to any particular group or society.

Global values include traits such as honesty, integrity, and respect for others. These values are considered fundamental to human interaction and are often emphasized in ethical and moral teachings.

Terminal values are values that individuals or societies hold as ultimate goals or end states. These values are often seen as the most important goals that individuals or societies can strive for.

Examples of terminal values include happiness, freedom, and world peace. These values are often deeply rooted in culture and are influenced by factors such as religion, history, and political ideology.

Instrumental values are values that individuals or societies hold as means to achieve the terminal values. These values are seen as important because they help individuals or societies achieve their ultimate goals.

Examples of instrumental values include hard work, responsibility, and self-discipline. These values are often taught through socialization and are reinforced through the rewards and punishments for responsible.

Domain-specific values are values that are specific to a particular domain or area of life. These values are often shaped by the unique demands and characteristics of the domain.

For example, in the domain of business, values such as profitability, innovation, and customer satisfaction may be considered important.

These values are often influenced by the goals and objectives of the organization, as well as the needs and desires of stakeholders such as customers, employees, and shareholders.

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The sales tax for a box of cereal that costs $3.8 is $0.228 and the total cost for this box of cereal at the checkout register is $4.028, given that sales tax is 6% of the price of the item. This can be obtained by using sales tax formula.

The Sales tax formula is given by,

⇒ Sales tax = Total sales × sales tax rate

⇒ Sales tax = item price × 6%  

⇒ Sales tax = 0.06 × item price

Here in the question it is given that,  

a box of cereal costs $3.8, that is, item price = $3.8

By using sales tax formula we get that,

⇒ Sales tax = 0.06 × item price

⇒ Sales tax = 0.06 × $3.8

⇒ Sales tax = $0.228

The total cost for this box of cereal at the checkout register can be obtained using the following formula,

⇒ Total cost = item price + sales tax

⇒ Total cost = $3.8 + $0.228

⇒ Total cost = $4.028

Hence the sales tax for a box of cereal that costs $3.8 is $0.228 and the total cost for this box of cereal at the checkout register is $4.028, given that sales tax is 6% of the price of the item.

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Answer:

70

Step-by-step explanation:

the width is 10 and the length is 7

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

c ≥ 600

p ≥ 5000

Step-by-step explanation:

Let :

credit score = c

Cost of car, p

To qualify :

Credit score must be atleast 600 ;

c ≥ 600

Cost of car must be atleast 5000

p ≥ 5000

We must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

To adapt the proof:

We can use a similar contradiction argument.

Suppose that there are only finitely many primes of the form 3k + 2, say p1, p2, ..., pn.

Let N = 3p1p2...pn + 2. Note that N is of the form 3k + 2 for some non-negative integer k.

Now, let's consider the prime factorization of N. Either N is prime and of the form 3k + 2, in which case we have found a new prime of the desired form, contradicting our assumption that there are only finitely many such primes. Or, N is composite and has a prime factorization consisting only of primes of the form 3k + 1 (since any prime of the form 3k + 2 would divide N). But this implies that N itself is of the form 3k + 1.

Now, let's consider the number M = 3N + 2. M is also of the form 3k + 2, and so must have a prime factorization consisting only of primes of the form 3k + 1. But since N is of the form 3k + 1, we have

M = 3(3p1p2...pn + 1) + 2 = 9p1p2...pn + 5. This means that M has a prime factorization consisting of primes of the form 3k + 2, which contradicts our assumption that there are only finitely many such primes.

Therefore, we must conclude that there are infinitely many primes of the form 3k + 2, where k is a non-negative integer.

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The exact value of sin(cos^-1(2/5)) is √21 / 5.

We know that cos(cos^-1(x)) = x for all x in [-1, 1]. Hence,

cos(cos^-1(2/5)) = 2/5

Now we need to find sin(cos^-1(2/5)).

We can use the identity sin^2(x) + cos^2(x) = 1 and substitute cos(x) = 2/5 to get:

sin^2(cos^-1(2/5)) + cos^2(cos^-1(2/5)) = 1

sin^2(cos^-1(2/5)) + (2/5)^2 = 1

sin^2(cos^-1(2/5)) = 21/25

Taking the positive square root (since sine is positive in the first and second quadrants), we get:

sin(cos^-1(2/5)) = √(21/25)

= √21 / 5

Therefore, the exact value of sin(cos^-1(2/5)) is √21 / 5.

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It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.

To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:

\(h = ut + (1/2)gt^2\)

Where:

h is the height (0 feet, as the ball is on the ground)

u is the initial velocity (192 feet per second)

g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)

t is the time we want to find

Plugging in the given values, we get:

\(0 = (192)t + (1/2)(-32)t^2\)

Simplifying the equation, we have:

\(-16t^2 + 192t = 0\)

Factoring out t, we get:

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:

h0 = 0

v0 = 192

g = 32.2

a = 16.1

b = 192

t1 = 0

t2 = -b / a

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

t2 >= 0:

   time_to_hit_ground = t2

   time_to_hit_ground = t1

The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.

The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

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Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

Answer:

mp-n=x

Step-by-step explanation:

Multiply both side by p gives us: mp=n+x

Subtract n from both side to leave x on its own: mp-n=x

Answer:

7. If m∠AEB = 75°, then m∠AED = 105.

8. If m∠1 = 35°, then m∠4 = 35.

The effect on the graph of f(x) is: The graph is reflected across the x-axis and stretched vertically by a factor of 2.

Some of the rules of transformation in this regards are:

For a > 0

f(x + a) means that f(x) was translated to the left by a units

f(x - a) means that f(x) was translated to the right by a units

f(x) + a means that f(x) was translated up by a units\

f(x) - a means that f(x) was translated down by a units\

-f(x) means that f(x) reflected in the x-axis

f(-x) means that f(x) was reflected in the y-axis

Given functions:

f(x) = |x|

g(x) = -2|x|

The series of transformations that take function f(x) to function g(x) are:

1.  Reflection across the x-axis:

2.  Vertical stretch by a factor of 2

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Answer:

if i knew the answer i would say it but i need it to

Step-by-step explanation:

Answer:

2nd option is the correct answer

Step-by-step explanation:

\( \huge \: x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ \)

is the correct form of the quadratic formula for the quadratic equation \( ax^2+bx+c=0\)

Answer:

(x+6)(x-6)

Step-by-step explanation:

Given: x²-36

Difference of Squares Formula: x²-a²=(x+a)(x-a)

Since 6²=36: x²-6²=(x+6)(x-6)

Answer:

We were given the equation of a rainbow, which follows a parabolic path, which is

By comparing to the vertex form,

We have the vertex at (h,k)=(1,6)

Since a=-0.1<0, the parabola opens down.

At y-intercept, x=0.

Step-by-step explanation:

The object reaches its maximum height of 144 feet after 2 seconds, takes 5 seconds to hit the ground, and has an initial height of 80 feet. The appropriate domain for the function is all real numbers, while the range is y ≤ 144.

Here are the answers to your questions regarding the equation y = -16t^2 + 64t + 80:

1. How long does it take to get to its maximum height?

The time it takes to reach the maximum height is 2 seconds.

To find the time at which the maximum height is reached, we need to determine the vertex of the quadratic equation. The vertex can be calculated using the formula t = -b / (2a), where a, b, and c are the coefficients of the quadratic equation. In this case, a = -16 and b = 64. Substituting these values into the formula gives us t = -64 / (2 * -16) = 2 seconds.

2. What is its maximum height?

The maximum height of the object is 144 feet.

To find the maximum height, we substitute the value of t = 2 seconds into the equation. Plugging in t = 2 gives us y = -16(2)^2 + 64(2) + 80 = 144 feet.

3. How long does it take to hit the ground?

The time it takes for the object to hit the ground is 5 seconds.

To determine when the object hits the ground, we need to find the time when the object's height (y) is zero. We can solve this quadratic equation by setting y = 0 and then solving for t. By factoring or using the quadratic formula, we find two solutions: t = -1 and t = 5. Since time cannot be negative in this context, we discard the -1 solution, leaving us with t = 5 seconds.

4. What is an appropriate domain and range for this function?

The appropriate domain for this function is all real numbers (t ∈ R), representing any valid time. The range is y ≤ 144, indicating that the maximum height reached by the object is 144 feet or less.

5. What does the 80 in the equation represent?

The constant term 80 in the equation represents the initial height of the object.

When t = 0, the term -16t^2 + 64t evaluates to 0, but the constant term 80 remains. Hence, the initial height of the object is 80 feet.

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The account will be worth $1534.39 at the end of the second month.

At the end of the first month, you have $1513.78 in your retirement account that pays 3% interest compounded daily. Adding $10 at the beginning of the second month brings the account balance to $1523.78.

Using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (starting balance), r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years, we can calculate the account balance at the end of the second month.

In this case, P = $1523.78, r = 0.03 (3%), n = 365 (daily compounding), and t = 1/6 (two months out of a year).

Plugging in the values, we get:

A = $1523.78(1 + 0.03/365)^(365/6)
A = $1534.39

Therefore, the account will be worth $1534.39 at the end of the second month.

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(a) The percentile for z = 2.33 is, 99th percentile.

(b) The percentile for z = -0.83 is, 80th percentile.

What is percentile?

A number at or below which a particular % falls in its frequency distribution, or a score below which a given percentage falls, is known as the k-th percentile in statistics.

By using the z - score table we have to find the percentile for z - scores

z = 2.33 and z = -0.83.

(a)  z = 2.33

Beginning on the left side decrease to 2.3. Next, ascend to 0.03 (which is where the values 2.3 + 0.03 = 2.33) are located.

The value will be 0.9901 in the table.

The percentile for a z-score of 2.33 is equal to (0.9901)*100, or 99.01%.

Therefore, the 99th percentile is the appropriate percentile with a z-score of z = 2.33.

(b)  z = -0.83

Go down to -0.8 starting from the left side of the table. Go to 0.03 at the top of the table now (this corresponds to the value -0.83)

The value will be 0.2033 in the table.

The percentile for a z-score of 0.83 is calculated as follows:

(20%) = (0.2033)*100.

As a result, the 80th percentile is the equivalent percentile for a z-score of z = -0.83.

Hence, the 99th percentile is the appropriate percentile with a z-score of z = 2.33 and the 80th percentile is the equivalent percentile for a z-score of z = -0.83.

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