The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Solve for the hourly temperature change.

Political sessions were attended by 707 representatives from all of South America.

Ratios: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girl.

It has been reported that 8,475 persons attended a political event in South America.

The 12 nations and 3 territories of South America were equally

represented.

The proportion of attendees from each nation to the total number of

countries indicates the number of representatives who attended.

How many representatives there are is =

total number of attendees / total number of participating nations

8,475 / 12 = the number of representatives

There are 706.25 x 707 representations.

Consequently, 707 delegates from each nation attended political conferences.

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The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer:

4

Step-by-step explanation:

Approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

According to the given question.

Total number of students in the class is 285.

And 58.6 percent of the total students are men.

As we know that, a relative value indicating hundredth parts of any quantity is called a percent.

Therefore,

the total number of men in the class

= 58.6 percent of 285

= (58.6/100) × 285

= 0.586 × 285

= 167.01

Hence, approxiamtely 167 men will be there in a class if the percent of men is 58.6 of the total student.

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Speed = 21 nautical miles per hour

Answer: rectangle

Step-by-step explanation: brainliest please? i could really use it

Answer:

most likely 16 if its a long object or 8 if its a short one

Step-by-step explanation:

if u provided a graph it could help alot

Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

Use the given information to set up a proportion and solve for the unknown sales amount:

Commission earned / Sales amount = Commission rate

$21,000 / $300,000 = 0.07

Now we can use this proportion to find the sales amount needed to earn $35,000:

$35,000 / 0.07 = $500,000

Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.

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Answer:

832.5

A unit rate is a rate with 1 in the denominator.

Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

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American adults believes in alien for the  given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).

As given in the question,

Sample of American adults surveyed 'n' = 200

Percent of people believes in aliens are success  'p'= 72%

                                                                                      = 0.72

Percent of people who don't believes (failure) in aliens ' 1 - p'  = 1 - 0.72

                                                                                          = 0.28                                                                                    

95% Confidence interval that represents Americans adults who believes in aliens

value of z - score for 95% confidence interval = ± 1.96

Margin of error 'MOE'= (z-score)√p ( 1- p) /n

                                   = ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200

                                   = 1.96 ( √0.2016 / 200)

                                   = 1.96 ×√0.001008

                                   = 0.063

Lower limit = p - MOE

                 = 0.72 - 0.063

                 = 0.66

Upper limit =  p + Margin of error

                 = 0.72 + 0.063

                 = 0.78

Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).

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Can you tell me the 3 Qudies of Figure A then I will answer  

Answer:

Below

Step-by-step explanation:

f(-5) = 85 * .95^(-5)   = 109.9 mg remaining after -5 hours   this does not fit the context of the problem  

 ( domain ( values of 'x')  should be   0 ---> infinity)

f(24) = 85 * .95^24 = 24.8 mg remaining after 24 hours   this does fit the context of the problem

The most general solution to the original nonhomogeneous differential equation is y = y_h + yp = c1e^(-2x)cos(x) + c2e^(-2x)sin(x) + 2x - 3e^(-x), where c1 and c2 are arbitrary constants.

To find a particular solution to the nonhomogeneous differential equation y'' + 4y' + 5y = 10x + 3e^(-x), we can use the method of undetermined coefficients.

First, we find the complementary homogeneous equation by setting the right-hand side to zero: y'' + 4y' + 5y = 0. The characteristic equation is r^2 + 4r + 5 = 0, which has roots r = -2 ± i. Therefore, the general solution to the homogeneous equation is y_h = c1e^(-2x)cos(x) + c2e^(-2x)sin(x), where c1 and c2 are arbitrary constants.

To find a particular solution, we assume that yp has the same form as the nonhomogeneous terms, i.e., yp = Ax + Be^(-x), where A and B are constants to be determined. Substituting this into the nonhomogeneous equation, we get:

y'' + 4y' + 5y = 10x + 3e^(-x)
-Be^(-x) + 4A - 4Be^(-x) + 5Ax + 5Bx = 10x + 3e^(-x)

To satisfy this equation, we set the coefficients of the like terms on both sides equal to each other:

5A = 10, which gives A = 2
-4B + 5B = 3, which gives B = -3

Therefore, the particular solution is yp = 2x - 3e^(-x).

The most general solution to the original nonhomogeneous differential equation is y = y_h + yp = c1e^(-2x)cos(x) + c2e^(-2x)sin(x) + 2x - 3e^(-x), where c1 and c2 are arbitrary constants.

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We have the function:

We must identify the function that:

0. reflects the function across the y-axis,

1. shift it 6 units up.

1) To reflect the function across the y-axis we replace x by -x:

2) To shift the result 6 units up, we sum +6 on the right side:

Plotting both functions, we get:

Answer

Second option

The x-intercepts with multiciplity greater than 1 is x = 0

The number of distinct intercepts is 3 and the number of zeros is 4

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

f(x) = x²(x + 2)(x - 7)

The x-intercepts with multiciplity greater than 1 is the factor that has a power greater than 1

So, we have

x² = 0

This gives

x = 0

The number of distinct intercepts is the number of factors i.e. 3

The number of zeros is the sum of powers

i.e. Zeros = 2 + 1 + 1

Zeros = 4

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We need to perform several iterations to validate the mathematical model of our bank balance. The more the iterations, the better the validation will be.

We should consider certain factors to develop a mathematical model of bank balance. We will assume that our bank balance depends on time. We assume we get our salary on the first day of each month. And it is constant until the next salary arrives. There is a constant monthly expenditure that we incur.

This expenditure reduces our bank balance every month. So, our bank balance is directly proportional to our salary and inversely proportional to our expenditure. Hence, we can write a mathematical model of our bank balance.

Bank balance (B) = aS - bE, where

S is salary, E is expenditure, and a and b are proportionality constants.

We need to perform several iterations to validate the mathematical model of bank balance. The more the iterations, the better the validation will be. We can perform the validation in the following way:

First, we must gather data on our salary and expenditure for a few months. Let us assume that we have data for six months.

Using the data, we can calculate the bank balance for each month using the mathematical model we developed.

B1 = aS1 - bE1

B2 = aS2 - bE2

B3 = a

S3 - bE3

B4 = a

S4 - bE4

B5 = a

S5 - bE5

B6 = a

S6 - bE6

Next, we can compare the calculated bank balance with the actual bank balance for each month. We can obtain the actual bank balance from our bank statements or passbooks.

We can compare the calculated bank balance with the actual bank balance for each month. If the calculated bank balance matches the actual bank balance, we can say that the mathematical model is validated.

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Answer:

$117.60

Step-by-step explanation:

Do this:

$864              1              $864

_____    x   ____   =    ______

   1                  5                 5

Then divide $864 by 5

Then take $172.80 - $55.20

That will give you your answer.

Answer:

$636

Step-by-step explanation:

864/5=172.80 so he paid 172.80 dollars for the phone bill. He then has 691.20 dollars left. he then gives his mother $55.20 and is left with $636.

Answer:

Step-by-step explanation:

Answer:

162.25

Step-by-step explanation:

when we have this the forunla ro find the area is base*height so 18*9 1/4 = 162.25

The variables, quantitative or qualitative, whose effect on a response variable is of interest are called explanatory variables or predictor variables.

In a study or experiment, the response variable, also known as the dependent variable, is the main outcome being measured or observed. The explanatory variables, on the other hand, are the factors that may influence or explain changes in the response variable.

Explanatory variables can be of two types: quantitative, which represent numerical data, or qualitative, which represent categorical data. The relationship between the explanatory variables and the response variable can be studied using statistical methods, such as regression analysis or analysis of variance (ANOVA). By understanding the relationship between these variables, researchers can make informed decisions and predictions about the behavior of the response variable in various conditions.

In conclusion, explanatory variables play a vital role in helping to analyze and interpret data in studies and experiments, as they help determine the potential causes or influences on the response variable of interest.

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Answer:

Step-by-step explanation:

AC=√(4²+4²)=4√2

The distance across the lake, given the distance of the tree and Cade would be 14.36 ft.

We can use the concept of similar triangles to solve this problem:

(Length of the tree's shadow) / (Distance from the tree to the edge of the lake) = (Length of Cade's shadow) / (Cade's height)

36.2 / 15 = 2.5 / 6.2

Now we can set up another proportion using the length of the tree's shadow and the length of the lake:

(Length of the tree's shadow) / (Length of the lake) = (Distance from the tree to Cade) / (Length of Cade's shadow)

Plugging in the values we know, we get:

36.2 / 15.6 = 15 / 2.5

6.2 * 2.32051282 = 14.36 ft

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The full question is:

The trees shadow is 36.2 feet long. The tree is 15 feet away from the edge of the lake. Cade is 6.2 feet tall and his shadow is 2.5 feet long, his shadow is measured at the exact time the trees shadow reaches the other side of the lake which is 15.6 feet long. What is the distance across the lake (water's edge to opposite side)​

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Answer:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. ... A central angle is any angle whose vertex is located at the center of a circle.

Step-by-step explanation:

9. Inscribed

10. Central

11.  Central

12.  Inscribed

13.  Central

14. Inscribed

Hope this helped! ; )

Answer:

Any angle with O as the vertex is a central angle. Any angle with any other letter in the center of the angle is inscribed.

Step-by-step explanation:

The numeric value of the expression 1/α + 1/β is given as follows:

-3/7.

The quadratic function in this problem is given as follows:

4x² + 3x + 7 = 0.

The coefficients of the quadratic function are given as follows:

a = 4, b = 3, c = 7.

The sum of the roots is given as follows:

α + β = -b/a.

Hence:

α + β = -3/4

The product of the roots is given as follows

αβ = c/a

Hence:

αβ =7/4.

These values are used to obtain the numeric value of the expression, as follows:

1/α + 1/β = (α + β)/αβ = (-3/4)/(7/4) = -3/7.

(the least common multiple of α and β is αβ, and then the least common factor is used to solve the expression).

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