what is the value of the algebraic expression if x = , y = -1, and z = 2? 6x(y 2 z)

The equation of inequalities that satisfy the condition is 4x+2y< 260 and x >25.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. The inequalities are usually denoted by less than or greater than symbol depending on the given conditions and scenario.

According to the question,

Let hamburgers be denoted as x and hot dogs be denoted as y.

The cost of x hamburgers is thus 4x and the cost of y hot dogs is 2y.

Since the cost cannot be more than $260 the equation is:

4x+2y < 260.

Now, the hamburgers need to be greater than 25. This is represented as follows:

x > 25.

Hence, the two inequalities that satisfy the condition are:

4x+2y <260

x> 25.

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Answer:

 x=36, y=54

Step-by-step explanation:

Since 3x and 2x are on the same line, they add up to 180

3x+2x = 180

    5x  =  180

       x  =  36

y = 2x (corresponding angles)

y = 2 (36)

y = 54

Answer: 40

Hope this helps

Answer:

A. 5, 7, 9

Step-by-step explanation:

in a regular triangle the sum of any 2 sides must always be greater than the third side.

A.

5+7 = 12 > 9

5+9 = 14 > 7

9+7 = 16 > 5

yes, this can be a triangle.

B.

1+8 = 9 = 9

that violates the condition. both sides together are equally long as the third side, so the triangle would be only a flat line with the top vertex being squeezed flat onto the baseline.

no triangle.

C.

5+5 = 10 < 12

that violates the condition. the sides cannot even connect all around.

no triangle.

Answer:

x=((log(81))/(log(3))+2)/3

Step-by-step explanation:

so what you want to do is get 3x-2 out of the exponent

you can do that by using log

so apply log to both sides and you get

log(81)=(3x-2)log(3)

the 3x-2 is moved in front of the log due to a log rule

then (log(81))/(log(3))=3x-2

(log(81))/(log(3))+2=3x

((log(81))/(log(3))+2)/3=x

then use a calculator to find the exact value

hope this helps im sorry my explanation is a bit confusing, ask any questions you have

The probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.

To find the probability that the car will get 75 miles per gallon or better, we need to calculate the area under the normal distribution curve to the right of the value 75.

Given information:

Mean (μ) = 75 miles per gallon

Standard deviation (σ) = 10 miles per gallon

To calculate this probability, we can use the standard normal distribution table or standardize the value and use the standard normal distribution.

Standardize the value:

To standardize the value 75, we use the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Standardized value:

Z = (75 - 75) / 10

Z = 0

Calculate the probability:

Now, we need to find the probability corresponding to the standardized value of 0. We can use the standard normal distribution table to find this probability.

From the standard normal distribution table, the area to the right of the standardized value 0 is 0.5000. Since we want the probability to the right of 0 (or greater than 0), we subtract this value from 1.

Probability = 1 - 0.5000

Probability = 0.5000

Therefore, the probability that, if driven normally, the car will get 75 miles per gallon or better is approximately 0.5000 or 50%.

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Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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The value of C, which represents the upper control limit (UCL) for the X-bar chart in the process of filling baby formula into bottles, is approximately 3.40552. This means that any average amount of baby formula above this limit may indicate a process out of control and require investigation.

To determine the value of C in this scenario, we need to use the formula for the control chart limits for an X-bar chart. The control limits for an X-bar chart with sample size n can be calculated using the following formula:

Upper Control Limit (UCL) = mean + A2 * R

Lower Control Limit (LCL) = mean - A2 * R

In this case:

The target value for the baby formula is 3 ounces.

The average amount of baby formula placed in the bottles is 2.941 ounces (mean).

The sample size is 200 bottles.

The standard deviation of the amounts is 0.1 ounce.

To calculate the value of C, we need to determine the value of A2, which depends on the sample size. The value of A2 can be found in statistical tables or calculated using statistical software. For a sample size of 200, A2 is typically 2.574.

Using the formula for the control limits, we can calculate the upper and lower control limits:

UCL = mean + A2 * R

= 2.941 + 2.574 * 0.18

= 2.941 + 0.46452

= 3.40552

LCL = mean - A2 * R

= 2.941 - 2.574 * 0.18

= 2.941 - 0.46452

= 2.47648

The value of C is the value of the upper control limit (UCL) in this case, which is approximately 3.40552.

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it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Answer:

1024/49

Step-by-step explanation:

Hey there!

In order to find the product, we must first convert this fraction to an improper fraction

4 4/7 ---> 32/7

Now, we can easily multiply the fractions

When you multiply fractions, you're basically multiplying the numerators together and the product of that is the new numerator and multiplying the denominators together, and the product of that is the new denominator.

In this case, we have to multiply 32 x 32 and 7 x 7

32 x 32 is 1024

7 x 7 is 49

This means, 1024/49 is the product

So, the product of 4 4/7 and 4 4/7 is 1024/49

Answer:

110

Step-by-step explanation:

I hope this helps!

Answer: Probability cannot be greater than 1

so it would be D 1.1

Step-by-step explanation:

Answer:

D. 1.1

Step-by-step explanation: Hello

Answer:

£631.42

Step-by-step explanation:

Year 1: £785 - (7/100) * £785 = £730.05

Year 2: £730.05 - (7/100) * £730.05 = £678.95

Year 3: £678.95 - (7/100) * £678.95 = £631.42

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

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The correct research method for the study mentioned in the question is a Field survey.

Field survey can be defined as a research method used to collect data from a target population. In this study, researchers used a survey questionnaire to gather data from participants. The research aimed to test the theory that the exposure to multiple versions of fake news on various social media platforms made people believe the news.

The researchers surveyed 1,455 participants with an average age of 27, and 42% were male. The participants were exposed to 24 false news stories, and one group was exposed to multiple versions of fake news, while the other group was only exposed to each news story once.

The findings suggested that the more familiar the news was, the more accurate and believable it was. This familiarity effect lasted for up to a month. Hence, the research method used in this study was a field survey.

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Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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Answer:

telephone pole height = 480ft

Step-by-step explanation:

Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:

\((shadow : height)\)

Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:

(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)

Substitute:

6ft : 4ft 6in = (telephone pole hiehgt) : 30ft

Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):

72 : 54 = (telephone pole height) : 360

Simplify:

4 : 3 = (telephone pole height) : 360

Now solve, use cross products:

3(telephone pole height) = 1440

Inverse operations,

3(telephone pole height) = 1440

/3                                          /3

telephone pole height = 480

The ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The given equation of line is y = 3x + 1

In the given equation the slope is 3.

We need to find the ordered pairs.

When x=0, y=1 so the ordered pair (0,1)

When x=1,

y=3+1=4

so the ordered pair (1, 4)

When x=2

y=7

The ordered pair (2, 7)

When x=3

y=3(3)+1=10

The ordered pair (3, 10)

When x=-1

y=3(-1)+1=-3+1=-2

The ordered pair (-1, -2)

Hence, the ordered pairs of y = 3x + 1  are (0,1), (1, 4), (2, 7) (3, 10) and  (-1, -2)

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The first six terms of the sequence are 10, 15, 20, 25, 30 and 35

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

a₁ = 10,

an = a(n-1) + 5

The above definitions imply that we simply add 5 to the previous term to get the current term

using the above as a guide,

so, we have the following representation

a₂ = 10 + 5

a₂ = 15

Also, we have

a₃ = 15 + 5

a₃ = 20

Also, we have

a₄ = 20 + 5

Evaluate the equation

a₄ = 25

Using the same formula, the other terms are 30 and 35

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Answer:

where the remaining part of the question?

Step-by-step explanation:

Answer: 7 I think its adding but if its multiplying it is 12

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

Hope this helps

Answer:

sinA = 4/5

cosA = 3/5

tanA = 4/3

Step-by-step explanation:

We calculate the calue of sinA by

dividing the opposite side with hypotenuse :

sinA = 12/15 and if we simplify fraction it will be 4/5

for cosA we divide adjacent side by hypotenuse :

9/15 simplified = 3/5

and for tanA we divide opposite side by adjacent side :

12/9 simplified = 4/3

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

Therefore, the length of one side of the square base of the pyramid is 3 inches.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V = (1/3) * base^2 * h

where "base" is the length of one side of the square base of the pyramid, and "h" is the height of the pyramid.

We are given that the height of the pyramid is 8 inches, and the volume is 24 in.³. Substituting these values into the formula, we get:

24 = (1/3) * base^2 * 8

Multiplying both sides by 3 gives:

72 = base^2 * 8

Dividing both sides by 8 gives:

9 = base^2

Taking the square root of both sides, we get:

base = 3

Therefore, the length of one side of the square base of the pyramid is 3 inches.

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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Answer:

Use a website called Desmos and click on the graphing calculator

Step-by-step explanation:

Type all of those equations in the graphing calculator and the one that is the same as the graph above is the correct one!

Answer:

Since it’s negative it will have a negative slope so it would be down to a, b, c

Then look at the y intercept which is 2 and it’s positive so it would be c

Answer:C