Solve 13x=91 plzz I need it ASAP

Answer:

2(m + n)

Step-by-step explanation:

Number of boys = m

Number of girls = n

Number of balloons carried by each = 2

Expression to represent the total number of balloons carried :

Number of balloons carried by each(Number of girls + number of boys)

2(m + n)

Answer:

\(first \: open \: the \: brackets \\ 3x + 13.5 = 36 \\ x = 7.5\)

OR

\(first \: divide \: 3 \: on \: both \: sides \\ \frac{3(x + 4.5)}{3} = \frac{36}{3} \\ x + 4.5 = 12 \\ x = 7.5\)

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

Answer:

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

Answer:

We need to prove that the function f defined on R by f(x) = 0 if x ≤ 0 and f(x) = e^(-1/x^2) if x > 0 is indefinitely differentiable on R and that f(n)(0) = 0 for all n ≥ 1. Additionally, we conclude that f does not have a converging power series expansion near the origin.

Step-by-step explanation:

f is indefinitely differentiable on R, and f(n)(0) = 0 for all n ≥ 1 and f does not have a converging power series expansion Sumn=0to[infinity] anxn for x near the origin.

Consider the function f defined on R by f(x) =0 if x ≤ 0, f(x) = e−1/x2 if x > 0.

We are to prove that f is indefinitely differentiable on R, and that f(n)(0) = 0 for all n ≥ 1. It must be shown that the derivative of f exists at all points.

Consider the right and left-hand limits of f'(0) which would give an indication of the existence of the derivative of f at 0.

Using the limit definition of derivative we have f′(0)=[f(h)−f(0)]/

where h is any number approaching 0 from the right.

That is h → 0+. On the right of 0, the function is e^(-1/x^2).f′(0+) = limh→0+ [f(h)−f(0)]/h=f(0+)=limh→0+ (e^(-1/h^2))/h^2

Using L'Hospital's rule,f′(0+)=limh→0+[-2e^(-1/h^2)]/h^3=0.

Using the same procedure, we can prove that the left-hand limit of the derivative of f at 0 exists and is zero.Therefore, f′(0) = 0.

Now we can use induction to prove that f is indefinitely differentiable on R, and that f(n)(0) = 0 for all n ≥ 1.

By taking the derivative of f'(0), we have:f″(0+) = limh→0+ [f′(h)−f′(0)]/h=f′(0+)=limh→0+ (-4e^(-1/h^2) + 2h*e^(-1/h^2))/h^4At 0, this limit is zero, and we can use induction to show that all the higher order derivatives of f at 0 are also zero.

Therefore, f is indefinitely differentiable on R, and f(n)(0) = 0 for all n ≥ 1.  

Since the power series expansion of f near x = 0 would require all of its derivatives at x = 0 to exist, we can conclude that the function f does not have a converging power series expansion Sumn=0to[infinity] anxn for x near the origin.

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The 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

If an 80% confidence interval and a 90% confidence interval are constructed from the same sample data, the 80% confidence interval will be narrower than the 90% confidence interval.

To understand why this is the case, we need to know that a confidence interval is a range of values within which we estimate the true population parameter lies. The level of confidence associated with the interval represents the probability that the true parameter falls within that range.

In this scenario, an 80% confidence interval means that there is an 80% probability that the true parameter lies within the interval. On the other hand, a 90% confidence interval means that there is a 90% probability that the true parameter falls within the interval.

To construct a narrower interval, we need to have a higher level of confidence. As the confidence level increases, the range of possible values also widens to accommodate the higher probability. Therefore, the 80% confidence interval will be narrower than the 90% confidence interval.

In conclusion, the 80% confidence interval will be narrower than the 90% confidence interval when constructed from the same sample data.

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Answer:

isosceles

Step-by-step explanation:

▪︎ Isosceles triangle is a triangle that has two sides of equal length.

"Biocalculus: Calculus, Probability, and Statistics for the Life Sciences" by James Stewart and Troy Day is a comprehensive textbook designed to introduce the concepts of calculus, probability, and statistics within the context of life sciences.

"Biocalculus" is specifically tailored for students pursuing life science disciplines, such as biology, biochemistry, and genetics. The book covers essential mathematical topics including limits, derivatives, integration, and differential equations, emphasizing their relevance to biological phenomena and processes. The authors incorporate numerous examples and exercises that focus on real-world applications in areas such as population dynamics, genetics, epidemiology, and pharmacokinetics.

By integrating calculus with probability and statistics, the book equips students with the necessary tools to analyze and interpret data in the life sciences. It introduces key concepts such as probability distributions, hypothesis testing, regression analysis, and experimental design, highlighting their importance in biological research. The authors take a step-by-step approach, providing clear explanations and detailed calculations, ensuring that students grasp the mathematical concepts and their practical implications.

Overall, "Biocalculus: Calculus, Probability, and Statistics for the Life Sciences" serves as an invaluable resource for life science students, helping them develop a strong mathematical foundation and enabling them to apply quantitative methods effectively in their future research and careers.

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To find out how many boxes will be needed to pack 1,215 souvenir paperweights, we can divide the total number of paperweights by the number of paperweights that can fit in one box.

Number of paperweights that can fit in one box = 14

Total number of paperweights = 1,215

Number of boxes needed = Total number of paperweights / Number of paperweights that can fit in one box

Number of boxes needed = 1,215 / 14 ≈ 86.79

Since we cannot have a fraction of a box, we need to round up to the nearest whole number of boxes. Therefore, we need a total of 87 boxes to pack all 1,215 souvenir paperweights.

Answer:

y= 1/2 x - 3

Step-by-step explanation:

because -3 is the y-intercept, it is where the graph crosses the y-axis

the line is increasing at a rate of 1 unit up, and 2 units to the right. meaning that the slope is 1/2

Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.

Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.

f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.

On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.

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Answer:

Step-by-step explanation:

6y - y = y(6 - 1) = y * 5

The answer is 5y.

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

Option E, "Fail to reject the null hypothesis but do not accept the null hypothesis as true either," is the correct conclusion based on a p-value of 0.75.

In statistical hypothesis testing, the p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming the null hypothesis is true.

When interpreting the p-value, we compare it to a predetermined significance level (often denoted as α). If the p-value is less than or equal to α, typically 0.05, it is considered statistically significant, and we reject the null hypothesis in favor of the alternative hypothesis. This means that we have enough evidence to suggest that the alternative hypothesis is likely to be true.

However, if the p-value is greater than α, as in the case of 0.75, it is not statistically significant. In this scenario, we fail to reject the null hypothesis. This does not mean that the null hypothesis is proven to be true or that the alternative hypothesis is false. It simply means that we do not have sufficient evidence to support the alternative hypothesis.

It acknowledges that the observed data does not provide strong enough evidence to reject the null hypothesis, but it does not allow us to definitively accept or confirm the null hypothesis either. It suggests that further investigation or additional evidence may be needed to draw a more conclusive inference.

Therefore, option E, "Fail to reject the null hypothesis but do not accept the null hypothesis as true either," is the correct conclusion based on a p-value of 0.75.

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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To calculate Robert's speed in feet per second, we need to convert the distance traveled from miles to feet and the time from hours to seconds.

1 mile is equal to 5280 feet, so the distance of 292.0 miles can be converted to feet as follows:

292.0 miles * 5280 feet/mile = 1,539,360 feet

1 hour is equal to 3600 seconds, so the time of 4.000 hours can be converted to seconds as follows:

4.000 hours * 3600 seconds/hour = 14,400 seconds

To calculate the speed in feet per second, we divide the distance (in feet) by the time (in seconds):

Speed = Distance / Time

Speed = 1,539,360 feet / 14,400 seconds

Speed ≈ 106.88 feet per second

Therefore, Robert's speed was approximately 106.88 feet per second.

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Answer:

29 stories - 49 stories = number of stories they need to go

28 - 49 = 21

the answer is 21

they have 21 more stories to go

The number of stories they still need to go is 19 stories.

It is given that building is 48 stories high and when the emergency happens they have already gone to 29 stories.

We have to calculate the number of stories they still need to go.

What will be the value, if we subtract 2 from 4 ?

The value after subtracting will be 4 - 2 = 2.

As per the question ,

The total number of stories in building = 48

When emergency happens they have already gone 29 stories.

So ,

The number of stories they still need to go after the emergency happens can be calculated as ;

48-29 = 19

Thus , they still need to go 19 stories.

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Answer:

the answer is d

Step-by-step explanation:

A dilation is what changes the size of the image, which cancels out a and b. The scale factor is also what will change the size, so if the image is doubling, scale factor has to be 2, cancelling out c.

Answer:

The answer is C and D I believe

Step-by-step explanation:

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals  (units)

Area of 1 lateral side of pyramid ABCDE is

so the total lateral area is  (units squared)

and the total surface area is  (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is

so the total area of the second pyramid is

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is units squared larger than the total area of the original pyramid.

Answer:

12

Step-by-step explanation:

2×2=4

2×2×2=8

8+4=12

Answer:

2^5 or the last one

Step-by-step explanation:

you can add the powers or the small numbers, then you put the powers together and then put them next to one of the twos.

Answer:

{6, 7}

Step-by-step explanation:

Plug in each number for x

Plug in 2

2(2)-4≥8

4-4≥8

0≥8 (2 is wrong because 0 is not greater than or equal to 8)

So we can eliminate the middle ones because two are in both b and c

Plug in 6

2(6)-4≥8

12-4≥8

8≥8 (This is correct because 8 is greater than or equal to 8)

Plug in 7

2(7)-4≥8

14-4≥8

10≥8 (This is correct because 10 is greater than or equal to 8)

2 * 6 is 12, meanwhile 2 * 18 = 36. Since the product of 2 * 6 is half the size of 2 * 18, I would say that C is correct.

Hope this helps! If not, lmk about what else I can do to help.

Answer:

The system of equations that can be used to determine the three numbers are equation 1 and 6

x + y + z = 27 ----- ( 1 )

37.33 x - 56 y + 0 = 0  ---- ( 6 )

Step-by-step explanation:

x + y + z = 27 ----- ( 1 )

x * z = 56 ------ ( 2 )

y / x  = 1.5  -------- ( 3 )

from equation 3

x = y / 1.5  -------- ( 4 )

input equation 4 into ( 2 )

( y / 1.5 ) * z = 56

y * z = 37.33 ------  ( 5 )

from equation 5 ;  z = 37.33 / y input  back to equation 2

x ( 37.33 / y ) = 56

37.33 x = 56 y  

37.33 x - 56 y  + 0 = 0  ---- ( 6 )

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function, along with their meaning, are listed as follows:

Given two points, only one line will pass through them.

Using a calculator, the lines are given as follows:

Then the x-coordinate of the point in which the lines intersect is obtained as follows:

4x - 1 = -1.25x + 10.5

5.25x = 11.5

x = 2.19.

The y-coordinate can be found in any of the equations, hence:

y = 4(2.19) - 1 = 7.76.

Another point on the line y = 4x - 1 has a x-coordinate of 3 and an y-coordinate obtained as follows:

y = 4(3) - 1 = 12 - 1 = 11.

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An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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The statement "delimchar = ',';" assigns the string variable "delimchar" with the comma character, denoted by ','.

To assign the string variable "delimchar" with the comma character, we can use the following statement: delimchar = ',';. The assignment operator "=" is used to assign the value on the right-hand side (',' in this case) to the variable on the left-hand side (delimchar).

By executing this statement, the variable "delimchar" will store the value of ',' (comma), indicating that it is the designated delimiter character to be used in the program.

Assigning the comma character to the variable "delimchar" can be useful in various programming scenarios, especially when dealing with text or data parsing. It allows for easy identification and separation of different elements within a string or dataset based on the specified delimiter.

It is important to note that the semicolon at the end of the statement signifies the end of the line of code and is a common convention in many programming languages.

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