PLS HELP ITS DUE IN FIVE MINUTES

Answer:

2x^2-13x+15

Step-by-step explanation:

2 time x equals 2x^2, 3 times 5 equals 15

Answer:

2x^2 - 13x + 15

Step-by-step explanation:

Using FOIL

(2x - 3)(x - 5)

V

[(2x ⋅ x) + (2x ⋅ -5) + (-3 ⋅ x) + (-3 ⋅ -5)]

V

2x^2 - 10x - 3x + 15

V

2x^2 - 13x + 15

The quadratic equation that has (3·x + β) ans (3·x + a) as the roots can be presented as follows;

9·x² - 7.5·x - 3 = 0

A quadratic equation is an equation that can be expressed in the form; y = a·x² + b·x + c, where, a ≠ 0, and a, b, and c are numbers.

The quadratic equation -2·x² - 5·x + 6 = 0, divided by a factor of -1 indicates that we get;

2·x² + 5·x - 6 = 0

The quadratic formula indicates that we get;

x = (-5 ± √(5² - 4 × 2 × (-6))/(2 × 2) = (-5 ± √(73))/4

Let a = (-5 + √(73))/4 and let β =  (-5 - √(73))/4)

(3·x + ((-5 + √(73))/4)) × (3·x + (-5 - √(73))/4) = 9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4)

9·x² + 3·x·(-5 - √(73))/4) + 3·x·(-5 + √(73))/4) + ((-5 + √(73))/4)) × (-5 - √(73))/4) = 9·x² - 15·x/2 - 3 = 0

Therefore, the equation that has (3·x + β) ans (3·x + a) as roots is the equation

9·x² - 15·x/2 - 3 = 9·x² - 7.5·x - 3 = 0

Learn more on quadratic equations here; https://brainly.com/question/29179994

#SPJ1

Answer:

360

Step-by-step explanation:

rectangular prism volume = Width * Length * Height

Width = 5

Length = 12

Height = 6

volume = 360

The volume of the rectangular prism is of 360 cubic centimetres.

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

The volume of a rectangular prism with length l, width w and height h is given by:

\(V = lwh\)

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

In this problem:

Thus, the volume, in cubic centimetres, is of:

\(V = 12 \times 6 \times 5 = 360\)

A similar problem is given at https://brainly.com/question/23756783

The value of x in the triangle is 2.

An equilateral triangle has sides that each measure 4x - 5 centimetres. An isosceles triangle has two sides that each measure 2x - 4 centimetres and one side that measures 6x - 3 centimetres.

Therefore, an equilateral triangle has three sides equal to each other and an isosceles triangle have two sides equal to each other.

Hence, the perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, let's find x using the two triangles if they have the same perimeters

4x - 5 + 4x - 5 + 4x - 5 = 2x - 4 + 2x - 4 + 6x - 3

12x - 15 = 10x - 8 - 3

12x - 10x = -11 + 15

2x = 4

x = 4 / 2

x = 2

Therefore,

x = 2

learn more on triangles here: https://brainly.com/question/9400856

#SPJ1

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

To know more about data measurement refer below link:

https://brainly.com/question/23894295

#SPJ4

The formula for calculating the required sample size to estimate the population mean with a 90% confidence level is given by:

n = ((z_(α/2)×σ) / E)²Here, z_(α/2) is the z-value for the given level of confidence (90% in this case), σ is the population standard deviation (6.8 in this case), and E is the maximum error we can tolerate (0.02 in this case).

Substituting the given values in the formula, we get:

n = ((z_(α/2)×σ) / E)²n = ((1.645×6.8) / 0.02)²n = 1910.96

Rounding up to the nearest whole number, we get the required sample size to be 1911.

Therefore, a sample size of 1911 is required to estimate the population mean with a 90% confidence level and an error of less than 0.02.

To know more about sample size visit:

https://brainly.com/question/30100088

#SPJ11

Answer:

2080

Step-by-step explanation:

that's the answer i think Good luck :)

50 miles because of the miles

The total surface area of the rectangular prism is 142 square inches when the area of rectangle is length × breadth.

Given that,

The dimensions of a rectangular prism are given in the picture.

We have to find what is the total surface area of the rectangular prism in square inches.

We know that,

In the picture we have named the rectangles as a,b,c,d,e and f.

So, for rectangle a

The area of rectangle is length × breadth = 7×3 = 21 square inches.

Now, for rectangle b

The area of rectangle is length × breadth = 7×5 = 35 square inches.

Now, for rectangle c

The area of rectangle is length × breadth = 3×5 = 15 square inches.

Now, for rectangle d

The area of rectangle is length × breadth = 7×3 = 21 square inches.

Now, for rectangle e

The area of rectangle is length × breadth = 7×5 = 35 square inches.

Now, for rectangle f

The area of rectangle is length × breadth = 3×5 = 15 square inches.

The total area of the rectangle is 21+35+15+21+35+15 = 142 square inches.

Therefore, The total surface area of the rectangular prism is 142 square inches.

To know more about rectangle visit:

https://brainly.com/question/31544137

Answer: The radius is

r

=

3

.

Explanation:

If the point

(

−

3

,

2

)

belongs to the circle

(

x

+

3

)

2

+

(

y

+

1

)

2

−

r

2

=

0

then its coordinates must verify that equation. That is, if we substitute in the equation of the circle

x

by

−

3

and

y

by

2

we must obtain a true equality. Then, it is enough to clear

r

of that equation:

(

−

3

+

3

)

2

+

(

2

+

1

)

2

−

r

2

=

0

⇒

9

−

r

2

=

0

,

then:

r

=

√

9

=

3

.

(Remember

r

is a distance, then it's always a positive number).

Step-by-step explanation:

Answer:

21

Step-by-step explanation:63

Answer: 7/12

Step-by-step explanation:

1. The remainder is 7/10.

2. He pays 1/6 of the remaining amount as rent; this is the rent he pays.

3. His usage total is 3/10 + 7/60 = 25/60, or 5/12.

The original number is -21/5 or -4.2 which is divided by 3 more than the number.

In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.

Let the number be 'x' Two times the number = 2x3 more than the number = x + 3

According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7

By applying cross multiplication,2x = 7 × ( x+3)2x

= 7x + 7×32x

= 7x + 212x - 7x

= 21-5x = 21x = 21/ (-5)x

= -4.2

Hence the original number is -4.2

Read more about Linear equations  :

brainly.com/question/28871326

#SPJ4

Answer:

Doctor 1 :

Mean = 12

Median = 12

Doctor 2 :

Mean = 16

Median = 18.5

Step-by-step explanation:

Data from the stem and leaf plot :

Doctor 1:

Age of the patients ( from the center to the left side )

1, 1, 2, 3, 7, 9, 15, 17, 18, 20, 22, 29

Mean age of patients :

Sum. Of ages / number of patients

= 144 / 12

=12

Median = 0.5(n+1)th term

n = 12

Median = 0.5(12 + 1)th term = 6.5th term

= (6th + 7th term)/2

= (9 + 15)/2

= 24/2 = 12

Doctor 2 :

patients mean age : (from the center to the right)

2, 2, 3, 9, 13, 17, 20, 20, 22, 23, 26, 35

n = 12

Mean = Sum of ages/ n

= 192/12

= 16

Median = 0.5(12 + 1)th term = 6.5th term

Median = (6th + 7th term)/2

= (17+20)/2

= 37/2 = 18.5

The mean age and the median age of doctor 2's patient is greater than the mean age of doctor 1

From the complete question, we have the following data

The mean is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

Doctor 1:

\(\bar x_1 = \frac{144 }{12} =12\)

Doctor 2:

\(\bar x_2 = \frac{192}{12} =16\)

By comparison, the mean age of doctor 2's patient is greater than the mean age of doctor 1

The median is the middle element, and it is calculated as:

\(Median = \frac 12(n +1)\th\)

For both doctors, n = 12.

So, we have:

\(Median = \frac 12(12 +1)\th\)

\(Median = 6.5th\)

This means that the median is the mean of the 6th and the 7th elements.

For doctor 1, we have:

\(M_1 = \frac12 * (9 + 15) = 12\)

For doctor 2, we have:

\(M_2= \frac12 * (17+20) = 18.5\)

By comparison, the median age of doctor 2's patient is greater than the mean age of doctor 1

Read more about stem and leaf plots at:

https://brainly.com/question/12276901

An individual slope in a multiple regression model provides insights into the effect of a specific predictor on the response variable while accounting for the influence of other predictors. This interpretation allows for a more accurate and nuanced understanding of the relationships within the data and can be crucial for making informed decisions based on the model.

We need to consider a few things. In this type of model, the slope for each independent variable represents the change in the dependent variable associated with a one-unit increase in that independent variable, holding all other independent variables constant. To interpret an individual slope in a fitted multiple regression model, we need to look at the coefficient estimate and its standard error.

Interpreting an individual slope in a fitted multiple regression model involves looking at the coefficient estimate and its standard error to determine the direction, magnitude, and precision of the relationship between the independent variable and the dependent variable. This information can be used to make predictions and draw conclusions about the data.

To know more about regression visit:-

https://brainly.com/question/28168620

#SPJ11

Answer:

811 buttons for Marcus, 2,028 buttons for Cody, and 1217 buttons for Dillon

Step-by-step explanation:

We can find how much Lulu gives to each person by multiplying 4,056 by each child decimal.  

For further reference, I'll represent the amount she gives to Marcus with an M, the amount she gives to Cody with a C, and the amount she gives to Dillon with a D.

M = 4,056 * 0.2 = 811.2 = 811 (We must round, as you cannot have parts of a button.

C = 4,056 * 0.5 = 2,028

D = 4,056 * 0.3 = 1216.8 = 1,217

Answer:

\(y^{-5}\)

Step-by-step explanation:

The Exponent Quotient Rule states that if two terms of the same base are being divided by each other, then the simplified expression is the base to the first power subtracted by the second power. As an algebraic equation, that would be \(\frac{x^{a} }{x^{b} } =x^{a-b\), where \(x\) is the common base and \(a\) and \(b\) are the exponents.

In this case, \(x=y\), \(a=2\), and \(b=7\), so we know that \(\frac{y^{2} }{y^{7} } =y^{2-7}=y^{-5}\). Hope this helps!

Given functions are; f(n) = 2na, g(n) = nIgn, and k(n) = Vn³. We are to evaluate the options, so; Option a): f(n) = O(g(n))

This means that the function f(n) grows at the same rate or slower than g(n) or the growth of f(n) is bounded by the growth of g(n).

Comparing the functions f(n) and g(n), we can find that the degree of f(n) is larger than g(n), so f(n) grows faster than g(n). Hence, f(n) = O(g(n)) is not valid.

Option b): f(n) = O(k(n))This means that the function f(n) grows at the same rate or slower than k(n) or the growth of f(n) is bounded by the growth of k(n).

Comparing the functions f(n) and k(n), we can find that the degree of f(n) is smaller than k(n), so f(n) grows slower than k(n). Hence, f(n) = O(k(n)) is valid.

Option c): g(n) = O(f(n))This means that the function g(n) grows at the same rate or slower than f(n) or the growth of g(n) is bounded by the growth of f(n).

Comparing the functions f(n) and g(n), we can find that the degree of f(n) is larger than g(n), so f(n) grows faster than g(n). Hence, g(n) = O(f(n)) is valid.

Option d): k(n) = Ω(g(n))This means that the function k(n) grows at the same rate or faster than g(n) or the growth of k(n) is bounded by the growth of g(n).

Comparing the functions k(n) and g(n), we can find that the degree of k(n) is larger than g(n), so k(n) grows faster than g(n). Hence, k(n) = Ω(g(n)) is valid.

Therefore, option d is the correct option.

To know more about the word rate visits :

https://brainly.com/question/25565101

#SPJ11

Microbial diversity is a critical component of different aquatic ecosystems, and understanding the different microbial communities present in these environments is crucial for preserving the health of our planet's aquatic systems.

Microbial diversity refers to the variety of microorganisms that exist in a given ecosystem. These microorganisms are essential for maintaining the balance of different biogeochemical cycles and are important indicators of the health of aquatic ecosystems. In aquatic ecosystems, microbial diversity is crucial for nutrient cycling, degradation of organic matter, and controlling the populations of harmful pathogens.
Different types of aquatic ecosystems, such as marine, freshwater, and estuarine environments, exhibit different microbial communities due to variations in water chemistry, temperature, and salinity. For example, marine environments have a higher concentration of salt and often host a diverse range of microorganisms such as bacteria, archaea, and fungi. Freshwater ecosystems such as lakes and rivers tend to have lower salinity levels and are inhabited by different microbial communities, including photosynthetic microorganisms such as algae and cyanobacteria.
Estuarine environments, which are transitional zones between freshwater and marine ecosystems, host a diverse range of microorganisms due to the varying salinity levels and nutrient inputs from both land and sea. The microbial diversity in these ecosystems is essential for maintaining the delicate balance of biogeochemical cycles, such as carbon, nitrogen, and phosphorus cycling.
To know more about microbial diversity visit:

https://brainly.com/question/31674204

#SPJ11

The least expensive computer after the 20% discount would be $400.

To calculate the price of the least expensive computer after the 20% discount, we need to find 20% of the original price and subtract it from the original price.

Let's assume the original price of the least expensive computer is x. The discount of 20% can be calculated as 0.20 * x. To find the discounted price, we subtract the discount from the original price: x - 0.20 * x = 0.80 * x.

Since we know that the cost of the least expensive computer ranges from $500 to $1000, we can substitute x with $500 and calculate the discounted price: 0.80 * $500 = $400. Therefore, the least expensive computer after the 20% discount would be $400.

To learn more about discounted price, click here: brainly.com/question/14690858

#SPJ11

Using hypothesis test we obtain that that the soft drink market share of Coca-Cola at the school is different from 47%.

To determine whether the soft drink market share of Coca-Cola at the school is different from 47%, we can conduct a hypothesis test using the data provided.

Let's set up the null and alternative hypotheses:

Null Hypothesis (H0): The soft drink market share of Coca-Cola at the school is 47%.

Alternative Hypothesis (H1): The soft drink market share of Coca-Cola at the school is different from 47%.

To perform the hypothesis test, we can use the chi-square goodness-of-fit test, which compares the observed frequencies with the expected frequencies under the assumption of the null hypothesis.

First, let's calculate the expected frequencies under the assumption that Coca-Cola's market share is 47%:

Expected frequency of Coca-Cola = (47% of 216) = 0.47 * 216 = 101.52

Expected frequency of other soft drinks = 216 - 101.52 = 114.48

Now, we can set up a chi-square test statistic:

χ^2 = Σ [(Observed frequency - Expected frequency)^2 / Expected frequency]

χ^2 = [(81 - 101.52)^2 / 101.52] + [(216 - 114.48)^2 / 114.48]

χ^2 = 7.96

Next, we need to determine the critical value for the chi-square test at a specified level of significance (e.g., α = 0.05).

The degrees of freedom for this test would be (number of categories - 1) = 1.

Looking up the critical value in a chi-square distribution table or using a statistical software, the critical value for α = 0.05 and 1 degree of freedom is approximately 3.841.

Since our test statistic (χ^2 = 7.96) is greater than the critical value (3.841), we can reject the null hypothesis.

Therefore, based on the given data, we have evidence to suggest that the soft drink market share of Coca-Cola at the school is different from 47%.

To know more about hypothesis test refer here:

https://brainly.com/question/17099835#

#SPJ11

If probability of box looking like it were a phone, is 90%, and probability of it looking if it were not a phone is 30%, then the odds that you got a phone is 6:1 or 86%.

The Bayes' Theorem is used to describe the relationship between conditional probabilities of two events.

To find the odd that you got the phone, we use Bayes’ theorem;

⇒ P(A|B) = P(B|A) × P(A)/P(B)

Where A = event that you got a phone, B = event that the box looks like a cell-phone box.

We are given that, P(A) = 2/3 and P(not A) = 1/3 (since there are only two possible outcomes).

We also know that P(B|A) = 0.9 and P(B|not A) = 0.3;

By using Bayes theorem,

We get,

⇒ P(A|B) = P(B|A) × P(A)/(P(B|A) × P(A) + P(B|not A) × P(not A))

⇒ [0.9 × (2/3)]/(0.9 × (2/3) + 0.3 × (1/3))

⇒ 6/7

Therefore, the odds that you got a phone are 6:1.

Learn more about Probability here

https://brainly.com/question/14975752

#SPJ4

1. The average time it takes a customer from when they arrive at the truck until they receive their taco is 141.67 seconds.

2. The average utilization of the truck 141.67 seconds.

3. On average, there is 1 person waiting in line.

4. In order to achieve a delay probability of under 10%, a minimum of 1 server is required.

1 The arrival rate is 1 customer every 2 minutes, which is equivalent to 0.5 customers per minute. The service rate is 1 customer per 50 seconds, which is equivalent to 1.2 customers per minute (since there are 60 seconds in a minute).

2 Average Number of Customers = (0.5 / 1.2) + 1 = 1.4167.

Average Waiting Time = 1.4167 * (50 + 50)

= 141.67 seconds.

3 The average utilization of the truck is given by the formula: Utilization = Arrival Rate / Service Rate.

Utilization = 0.5 / 1.2

= 0.4167 (or 41.67%).

The average number of people waiting in line can be calculated using the formula: Average Number of Customers - Average Utilization.

Average Number of Customers - Average Utilization = 1.4167 - 0.4167

= 1.

4 Given that the desired delay probability is 10% (or 0.1), we can rearrange the formula to solve for the utilization:

Utilization = Delay Probability / (1 + Delay Probability).

=

Utilization = 0.1 / (1 + 0.1) = 0.0909 (or 9.09%).

The utilization we calculated represents the maximum utilization to achieve a delay probability of 10%. In conclusion, to achieve a delay probability of under 10%, a minimum of 1 server is required.

Learn more about average time on

https://brainly.com/question/31955830

#SPJ1

Answer:500

explanchion: 1000/50=500

The benefits of using the theoretical capacity for Zippy, Inc. include providing a maximum production potential based on ideal conditions, aiding in long-term planning, and setting performance benchmarks. Practical capacity considers unavoidable interruptions and breakdowns, providing a more realistic estimate. The negative aspect of a master-budget denominator level is the potential for unused capacity costs, while the positive aspect is using a predetermined cost base for pricing decisions.

Theoretical capacity, based on three shifts and completion of five motorcycles per shift, gives Zippy, Inc. a maximum production potential of 5,400 units per year. This capacity measure helps in long-term planning, resource allocation, and setting performance benchmarks. On the other hand, practical capacity takes into account unavoidable interruptions, breakdowns, and other factors that can impact production. It provides a more realistic estimate of 3,840 units.

Regarding cost-based pricing, the negative aspect of a master-budget denominator level is that it may lead to unused capacity costs. If the estimated demand falls below the master-budget level, there could be underutilized resources, resulting in economic costs for the company. However, the positive aspect of using a master-budget denominator level is that it provides a predetermined cost base for pricing decisions. It helps in setting prices that ensure the company's costs are covered and profitability is achieved.

In summary, theoretical capacity aids in long-term planning and setting benchmarks, while practical capacity considers interruptions. The negative aspect of a master-budget denominator level is unused capacity costs, but it provides a predetermined cost base for pricing decisions, ensuring cost recovery and profitability.

Learn more about profit here:

https://brainly.com/question/21297845

#SPJ11

Answer:

8

Step-by-step explanation:

2/3 is also 8/12

8 out of 12 people is 2/3

Answer:

W=16

Step-by-step explanation:

Answer:

the answer is B  (2,1)

Step-by-step explanation:

Given the simultaneous equation

\(2x+3y=7 .....1\\x+y=3 ..........2\\\)

Using substitution method

from equation 2 :

\(x=3-y ....3\)

Substitute equation 3 into 1:

\(2(3-y)+3y=7\)

Open the bracket

\(2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1\)

Substitute y=1 into x=3-y

\(x=3-1\\x=2\)

Hence the solution to the equation is (2,1)

PLEASE MARK ME AS BRAINLIEST

Answer:

BE=DE and AE=CE (the order of these 2 does not matter)

Vertical Angles

SAS

Step-by-step explanation: