Answer:
-2/9
Step-by-step explanation:
\(-1/6(3-15(1/3)^2 )\)
\(-1/6(3-15(1/9))\)
\(-1/6(3- (15/9))\)
\(-1/6(4/3)\)
\(-4/18\)
\(-2/9\)
The given equation is,
→ -1/6 × [3 - 15(1/3)²]
Then the solution will be,
→ -1/6 × [3 - 15(1/3)²]
→ -1/6 × [3 - 15(1/9)]
→ -1/6 × [3 - 15/9]
→ -1/6 × (27 - 15)/9
→ (-1/6) × (12/9)
→ -12/54 = -2/9
Hence, the answer is -2/9.
Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works. Determine the independent and dependent variables. Write an equation to represent the number of websites she can design when given any number of weeks.
Answer:
The independent variable is the number of weeks
The dependent variable is the number of website she makes
N = 3w
Step-by-step explanation:
Number of website per week = 3
The independent variable is the number of weeks
The dependent variable is the number of website she makes
Let number of websites she can design when given any number of weeks = N
N = 3 * w
N = 3w
Where,
w = number of weeks
The equation is N = 3w
A triangle has sides with lengths of 10 meters, 11 meters, and 13 meters. Is it a right
triangle?
Answer:
No
Step-by-step explanation:
image hopefully explains
A submarine's surface speed is 12 knots, and its diving speed is 20 knots. Find the ratio of diving to surface speed.
Answer:
5:3
Step-by-step explanation:
20:12
10:6
5:3
diving speed:surface speer, so u put them side by side and simplest form it
The derivation of the Quadratic Formula is shown by completing the square and applying square roots. What is the missing step?
A. x^2+b/a · x+c=0
B. ax^2+b/a · x+c/a=0
C. ax^2+b/a · x+c=0
D. x^2+b/a · x+c/a=0
Answer: x^2 + bx/a + c/a = 0
Step-by-step explanation:
the step simplifies the division of a:
0 divided by anything is still zero, so you can remove the a denominator
a/a = 1, and is therefore irrelevant, so ax^2 / a = x^2
the rest can stay
give two examples of a term that could combine with -5xy
Answer:
-20x 87y
Step-by-step explanation:
Another one, thanks in advance!
Marissa's shape is classified as a scalene and obtuse triangle, considering it's concepts presented in this problem.
How to classify the triangle?The triangle has three sides of unequal length, as the opposite angle measures are different, hence it is classified as an scalene triangle.
(it would be equilateral if all had the same length, and isosceles if two sides have the same length).
The triangle has one angle larger than 90º, hence it is classified as an obtuse triangle.
(acute with no angles of 90º or greater, right with one angle of exactly 90º).
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PLEASE find the equation for this graph
Can someone tell me the answer plz and explanation and steps
Answer:
positive 12/5
Step-by-step explanation:
First distribute: -12m - 20 = -2m + 4
Add like terms: 10m - 20 = 4
Isolate variable: 10m = 24
Divide: 2.4 or 12/5
CJ wrote several pairs of values that he thought were
equivalent. Which of his equations are correct? Pick all that
apply.
1.25 = 125%
0.03 = 30%
0.001 = 1%
60%
50%
22 23 를
66.6%
Guys I need help I’m gonna fail math
Answer:
125% correct
3/5 correct
2/3 correct
Step-by-step explanation:
Here, we want to pick the appropriate conversion from percentage to fraction:
To convert from percentage to fraction, we simply divide by 100
125% = 125/100 = 1.25 correct
30% = 30/100 = 0.3 not 0.03 wrong
1% = 1/100 = 0.01 not 0.001 wrong
60% = 60/100 = 3/5 correct
50% = 50/100 = 1/2 not 1/4 wrong
2/3 = 2/3 * 100 = 200/3 = 66.66667% correct
Answer:
B.C,D
Step-by-step explanation:
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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MODELING REAL LIFE The function D(t) = 75 -0.3r represents the number of gigabytes left after downloading a video game for t
minutes.
a. How many gigabytes are left to download after 90 minutes?
gigabytes
b. How long will it take to download the entire video game?
min or
hr
min
Answer:
a) 48 gigabytes
b) 250 minutes, or 4 hours 10 minutes
Step-by-step explanation:
For D(t) = 75 -0.3t modeling the number of remaining gigabytes to download after t minutes, you want to find D(90) and t such that D(t) = 0.
a) RemainingD(90) = 75 -0.3·90 = 48
After 90 minutes, 48 gigabytes are left to download.
b) Total timeThe time required to complete the entire download is given by ...
0 = 75 - 0.3t
0 = 250 -t . . . . . divide by 0.3
t = 250 . . . . . . add t
It will take 250 minutes, or 4 hours 10 minutes to download the entire game.
__
Additional comment
The attached calculator screen shows conversion to hours and minutes. Hours, minutes, seconds are computed "base-60" the same way that Degrees, minutes, seconds are computed "base-60". 250 minutes is converted to hours by dividing by 60 min/hour. We can use the →DMS function of the calculator to show decimal or fractional hours in hours : minutes : seconds. In this use of that function, degrees represents hours.
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a statistical measure of the strength of a linear relationship between two metric variables is called the
The statistical measure of the strength of a linear relationship between two metric variables is called the correlation coefficient.
The correlation coefficient is a numerical value that ranges between -1 and +1, where -1 represents a perfect negative linear relationship, +1 represents a perfect positive linear relationship, and 0 represents no linear relationship between the variables.
The correlation coefficient is a useful tool in understanding the relationship between two metric variables because it provides a quantitative measure of how closely the variables are related. It is particularly useful in identifying whether there is a strong or weak relationship between the variables and can help to explain why certain patterns or trends are observed in the data. Overall, the correlation coefficient is an important statistical measure that helps to provide insight into the nature of the relationship between two metric variables.
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as long as you are working with the same variables, it does not matter whether or not you average the data over every month versus every year; the correlation will be the same. (True or False)
The important to consider the time frame when averaging data and examining the correlation between variables.
False, it does matter whether or not you average the data over every month versus every year; the correlation may not be the same. When you average the data over a longer period of time, such as a year, you are smoothing out any fluctuations that may occur within that time frame. This can result in a different correlation than if you were to average the data over a shorter period of time, such as a month.
For example, if you were looking at the correlation between temperature and ice cream sales, you may find a strong positive correlation when averaging the data over every month, as higher temperatures typically lead to higher ice cream sales. However, if you were to average the data over every year, you may find a weaker correlation, as there may be other variables, such as seasonal changes, that impact ice cream sales.
In conclusion, it is important to consider the time frame when averaging data and examining the correlation between variables.
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Help.me................
Answer:
the angle itself is 39
Step-by-step explanation:
first the angle 132 is apart of line segment jer so 180-132=48
48+93=141
180-141=39
Answer:
39º
Step-by-step explanation:
Once the angle 132º and angle ∠BER are supplementary angles (add up to 180 degrees), ∠BER = 48º.
Also, once the sum of a triangle's interior angles is 180º:
∠BER + 93º + (9x+3)º = 180º
48º + 93º + 9x + 3º = 180º
144º + 9x = 180º
9x = 36º
x = 4º
Therefore, the angle ∠EBR (green) is equal to 39º
Assume the world population at the end of 2017 was 7.4 billion people. The population growth rate in 2018 is 1.07%. How many more people were on the planet at the end 2018?
At the end of 2018, the world population was approximately 7.53 billion people. This figure is calculated by taking the total population at the end of 2017, 7.4 billion people, and multiplying it by the population growth rate of 1.07%..
This means that the world population increased by approximately 130 million people in 2018. This population growth rate is consistent with the average growth rate of the world population over the last decade. While the population growth rate has been decreasing over the past few decades, it is still relatively high at 1.07%.
The high population growth rate is primarily due to high fertility rates in developing countries and a longer life expectancy in developed countries. This means that more people are born and fewer people die each year. As a result, the total population of the world increases each year.
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A grocer has 18kg of black tea worth 3.5per kg. She wants to mix
The question is incomplete, the complete question is;
A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed
Prove the quotient rule by using the product rule and chain rule
Quotient Law: f(x)=h(x)g(x),f′(x)=[h(x)]2g′(x)⋅h(x)−h′(x)⋅g(x)
Product law: f(x)=g(x)⋅h(x),f′(x)=g′(x)⋅h(x)+h′(x)⋅g(x)
Chain rule: f(x)=g[h(x)],f′(x)=g′[h(x)]⋅h′(x)
Hint: f(x)=h(x)g(x)=g(x)⋅[h(x)]−1
To prove the quotient rule using the product rule and chain rule, we can express the quotient as a product with the reciprocal of the denominator. By applying the product rule and chain rule to this expression, we can derive the quotient rule.
Let's consider the function f(x) = h(x)/g(x), where g(x) ≠ 0.
We can rewrite f(x) as f(x) = h(x)⋅[g(x)]^(-1).
Now, using the product rule, we differentiate f(x) with respect to x:
f'(x) = [h(x)⋅[g(x)]^(-1)]' = h(x)⋅[g(x)]^(-1)' + [h(x)]'⋅[g(x)]^(-1).
The derivative of [g(x)]^(-1) can be found using the chain rule:
[g(x)]^(-1)' = -[g(x)]^(-2)⋅[g(x)]'.
Substituting this into the previous expression, we have:
f'(x) = h(x)⋅(-[g(x)]^(-2)⋅[g(x)]') + [h(x)]'⋅[g(x)]^(-1).
Simplifying further, we obtain:
f'(x) = -h(x)⋅[g(x)]^(-2)⋅[g(x)]' + [h(x)]'⋅[g(x)]^(-1).
To express the derivative in terms of the original function, we multiply by g(x)/g(x):
f'(x) = -h(x)⋅[g(x)]^(-2)⋅[g(x)]'⋅g(x)/g(x) + [h(x)]'⋅[g(x)]^(-1)⋅g(x)/g(x).
Simplifying further, we have:
f'(x) = [-h(x)⋅[g(x)]'⋅g(x) + [h(x)]'⋅g(x)]/[g(x)]^2.
Finally, noticing that -h(x)⋅[g(x)]'⋅g(x) + [h(x)]'⋅g(x) can be expressed as [h(x)]'⋅g(x) - h(x)⋅[g(x)]' (by rearranging terms), we obtain the quotient rule:
f'(x) = [h(x)]'⋅g(x) - h(x)⋅[g(x)]'/[g(x)]^2.
Therefore, we have proven the quotient rule using the product rule and chain rule.
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1)
Using a scale of 1:50000 how many cm on a
map would represent 0.5 km?
Can someone help me with this it would really mean a lot to me
Answer:
Below
Step-by-step explanation:
1:50000 means 1 cm on the map is 50 000 cm in the real world
so 1 cm on the map = 500 m in the real world (100cm = 1m)
500 m IS .5 km
so 1 cm on the map = .5 km
Answer: 1 cm
Step-by-step explanation: convert 50000 cm into km. This will give you 0.5 km. This means that 1 cm represents 0.5km
what can you say about the 9s in 59,992?
Answer:
There are 3 of them
Step-by-step explanation:
Answer:
it's in the hundredths and tens and thousandths and it's a 9 aka an upsidedown 6
Step-by-step explanation:
the age of Edna, Ellie, and Elsa are consecutive integers. the sum of their ages is 117 what are their ages?
Answer:
Their ages are 38,39 and 40.
Step by step explanation:
If they were all the same age, then their ages would be:
\(\frac{117}{3}=39\)But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.
\(38+39+40=117\)Question 13 If the inflation rate is 180%, in how many years will average prices double?
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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Please help!!!!!!!!!!!!!!
Answer:
90
Step-by-step explanation:
Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?
Answer:
9
Step-by-step explanation: 3x4= 12 -3=9
Answer:
what's nelly's age
Step-by-step explanation:
4x divided by 3?
In one soccer season, Milica saved 155 out of 180 shots on goal. At this rate, about how many saves would she make out of 600 shots on goal? Round the answer to the nearest whole (use Numbers only and don't add any spaces) Saves Shots on Goal 155 180 ? 600
Answer: 1550/3
Step-by-step explanation: it is logically posiblie
Find the indicated angle or side. Give an exact answer.
Find the exact length of side a.
Answer:
If you follow c²=a²+b² you can find your solution or you can do it with the cosinus rule/ sinus rule. But i don't see the side a remarked in your picture so i don't know which one you want to calculate.
Step-by-step explanation:
ANSWER QUICKLY PLEASE AND THANKYOU!
Find the equation of the line for each situation.
1) a line passing through the point (3, 4) and having a slope of -2
2) a line passing through the points (1, -1) and (9, 3)
I'll mark your answer as the brainiest idc I'm just stumped
the value of the expression. -5.6 - ( 3.4 - 6.8)
Answer:
-2.2
Step-by-step explanation:
Answer:
-19.04 + 38.08 = 19.04
PLEASE HELP! I WILL GIVE BRAINLIEST! PLEASE SHOW YOUR WORK TOO :)!
One year, the mean age of an inmate on death row was 38.8 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.5, with a standard deviation of 9.2. Construct a 95% confidence interval about the mean age. What does the interval imply
The confidence interval about the given mean age is (40.7, 34.3). Since the given mean age of 38.8 years is in the obtained interval, there is no sufficient evidence to conclude that the mean age had changed.
What is the formula for calculating the confidence interval?The formula for the confidence interval is
C.I = \(\bar x\) ± z(σ/√n)
Where \(\bar x\) - sample mean; z or z(α/2) - test value; σ - standard deviation of the sample; n - sample size;
Calculation:Consider the hypothesis,
null hypothesis H0: μ = 38.8
alternate hypothesis Ha: μ ≠ 38.8
It is given that,
sample size n = 32
sample mean \(\bar x\) = 37.5
standard deviation σ = 9.2
Constructing a 95% confidence interval about the mean age:
a) Finding the significance level:
= 1 - (95/100)
= 1 - 0.95
∴ α = 0.05
b) Finding the z-value for the obtained significance level:
z(α/2) = z(0.05/2)
∴ z = 1.96 (From the distribution table)
c) Calculating the lower and upper bounds:
C.I = \(\bar x\) ± z(σ/√n)
On substituting,
C.I = 37.5 ± (1.96)(9.2/√32)
⇒ 37.5 ± (1.96)(1.626)
⇒ 37.5 ± 3.186(≅3.2)
Upper bound = 37.5 + 3.2 = 40.7
Lower bound = 37.5 - 3.2 = 34.3
Thus, the interval is from 34.3 years to 40.7 years.
Hence the given mean age of 38.8 is included in the interval, the evidence is insufficient to conclude that there is a change in the mean age.
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The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude) What is the slope of the line? Interpret the slope The latitude changes by 90.4 for every change of temperature The temperature changes by 1.23 for every change of one latitude A one degree increase of temperature is a 1.23 drop in latitude O To get 90.4 more degrees of temperature you must climb one degree of latitude If you climb 90.4 degrees of latitude you will get an increase of one degree in temperature O An increase of one latitude is a 1.23 drop in temperature Estimate the mean August temperature for a city with latitude of 22. Use 2 decimal places San Francisco has a latitude of 39. What would you predict for the mean August temperature of San Francisco? Use 2 decimal places Given that the mean August temperature in San Francisco is actually 69 calculate the residual (prediction error) for San Francisco It should be observed minus predicted. If you do it wrong your answer have the positive and negative switched Use 2 decimal places The latitude at the equator is 0. Estimate the average August temperature at the equator. Use 1 decimal place
In the given regression equation, the slope of the line is - 1.23.
Regression equation:
in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.
Given,
The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)
Here we need to the slope of the line.
While we looking into the given regression equation,
Temperature = 90.4 - 1.23x(latitude)
While we compare this one with the general slope of the line equation,
y = mx + c
where m refers the slope of the line.
Then we get the value of slope as -1.23.
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