Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
Car, x. When researchers looked at the association of x and y, they found that the coefficient of determination was = 0.158. Select two conclusions that the researcher can make from this data.
a) About 40% of the variation in the age of the car is explained by a linear relationship with the value of the car.
b) The correlation coefficient, r, is 0.842.
c). The correlation coefficient, r, is 0.025.
d) The correlation coefficient, r, is 0.397
e) About 84% of the variation in the value of the car is explained by a linear relationship with the age of the car
f.) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
Answer:
D and f
Step-by-step explanation:
From the question,
Coefficient of determination r² = 0.158
D.
To get the correlation coefficient,
We take the square root of birth sides,
√r² = √0.158
r = 0.397
F.
The coefficient of determination = 0.158
When approximated, we get 0.16
0.16 x100
= 16percent
So 16% of this variation explains the linear relationship with age of car
So from the explanations for d and f above, it is evident that the answer options I chose are the correct answers to the question.
Urgenteee
Un tronco de madera de 3,080 kg de 1m de diametro
y 10m de largo, flota en el agua ¿Cuanto es el volumen de tronco
por arriba de la superficie del agua?
The volume of the log will be 30,70,760 m³.
What is Archimedes principle?Mathematically, we can write Archimedes principle as -
F{buoyant} = - fluid density {ρ} x acceleration due to gravity {g} x volume {v}
Given is that a 3080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water.
Since the log floats on water, the density of both the log and water is same.
So, we can write volume as -
Volume = 3080 x 997 Volume = 30,70,760 m³
Therefore, the volume of the log will be 30,70,760 m³.
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{QUESTION IN ENGLISH -urgent A 3,080 kg log of wood with a diameter of 1 m and 10 m long, it floats in the water. What is the volume of the trunk above the surface of the water?}
A large tank is 120 meters long, 65 meters wide, and 48
meters high. Express the volume of the tank in cubic
meters using scientific notation.
Step-by-step explanation:
the volume of a rectangular block or tank is
length × width × height
so, it is like all regular 3D objects
base area × height.
so, we get
120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³
why ?
374,400 = 374400 × 10⁰ = 37440 × 10¹ =
= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =
= 3.744 × 10⁵
A rectangle has a length of 15 centimeters and a width of 7 centimeters. What is the area of the rectangle?
length= 15cm
width= 7cm
to find:area of the rectangle.
solution:area of rectangle= length × width
a= l × w
a= 15 × 7
= 105 cm^2
Answer:
105 cm²
Step-by-step explanation:
The formula to find the area of a rectangle is :
Area = length × width
Given that,
length ⇒ 15 cm
width ⇒ 7 cm
Let us solve it now.
Area = length × width
Area = 15 × 7
Area = 105 cm²
-7(1+9a) have no idea how to do this
Answer:
-7-63a
Step-by-step explanation:
-7(1 + 9a)
(use the distributive property of multiplication to simplify)
-7-63a
Simplify.
2x-4
²-8+12
O
O
O
-6
x+6
x-6
-
x-2
²-82+12
The simplified value of (2x - 4)² is 4x² - 16x + 16.
First, let us understand the algebraic identities;
Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.
Some of the identities are:
(a + b)² = a² + 2ab + b²(a - b)² = a² - 2ab + b², etc.We are given (2x - 4)².
Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.
So, a = 2x and b = 4.
Put it into the identity, we will get;
Therefore,
(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16
Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.
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pls help I need this due today pls ASAP
Answer:
130%
increase
Step-by-step explanation:
the new quantity is 13, the old is 10
divide 13/10
in your calculator this will show 1.3
that means one whole and 30/100ths, or in percents 130%
(to convert decimal to percent just mulitply by 100)
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".A grocery store wonders if their sales will be better if they play ambient music or no music at all. Each day for 2 months, the manager flips a coin to determine whether or not the store will play music that day. At the end of the 2 months, the manager finds that, on average, sales were significantly better on days where music was playing. Is this an experiment or an observational study?
Answer:
It is a observational study
Step-by-step explanation:
the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
find the next three term of arithmetic sequence -9,-1,7,15,..
3 times the sum of r and d minus 2 times the difference of r and d squared. Translate the above sentence into algebraic expression. Now simplify that expression.
answer 1 :
3 ( r + (d - 2(r - d^2)))
answer 2 :
-6d^2 + 3d - 3r
PLS ANSWER THIS.
its 10 points
Answer:
24 gallons per minute
Step-by-step explanation:
Hope this helped!
Answer:
24 gallons per minute :)
The members of a soccer team want to choose a team captain, an assistant captain and an equipment manager. In how many ways can 3 people be selected from a team of 10?
The required there are 120 ways to choose a team captain, an assistant captain, and an equipment manager from a team of 10.
The number of ways 3 people can be selected from a team of 10 is given by the combination formula:
C(10, 3) = 10! / (3! (10 - 3)!)
= (10 x 9 x 8) / (3 x 2 x 1)
= 120
Thus, there are 120 ways to choose a team captain, an assistant captain, and an equipment manager from a team of 10.
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QUESTION DOWN BELOW
PLEASE HELP DUE SOON, AND SO CONFUSED
Answer:
144 km
Step-by-step explanation:
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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In the diagram, line a is the perpendicular bisector of KM. Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 6 x + 4. Line segment K N is 9 x minus 5. Line segment N M is 7 x + 7. What is the length of KM? 22 units 40 units 44 units 80 units
Answer:
D. 80 :)
Step-by-step explanation:
The solution is : The value of segment LM is 9x + 5.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
Consider the image below.
A perpendicular bisector is a line segment that bisects another line segment into two equal parts and is perpendicular to this line segment.
So from the diagram below we know:
KL = LM
line a is ⊥ to KM
∠NLK = 90°
Since the angle measure of ∠NKL is not provided we cannot determine the value of x.
So, the value of segment LM is 9x + 5.
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Complete question:
Line a is a perpendicular bisector of line segment K M. It intersects line segment K M at point L. Line a also contains point N. Line segment K L is 9 x +5. Line segment K N is 14 x minus 3. What is the length of segment LM? units
Which insect measurement was the most frequent?
Length of insects (in inches)
The insect measurement that was the most frequent is given as follows:
1 and 1/4 inches.
How to obtain the most frequent insect measurement?A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.
Hence, a dot plot shows the number of times that each observation appeared in the data-set.
The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:
1 and 2/8 = 1 and 1/4 inches.
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A small town had a population of 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow? Please show how you did the problem :)
Answer:
25%
Step-by-step explanation:
\( \frac{1200}{960} \times 100 \%= 1.25\% \\ \)
so it increases 25%
HELP PLEASE
A bus that seats 50 people was rented by a local club. As the bus fills with people, the price of each seat is lowered. What type of
trend would this be?
A) Positive
B) Negative
C)No trend
Answer: B) Negative
Step-by-step explanation:
Answer:
B) Negative
Step-by-step explanation:
The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.
Hope this helped!
The steps to convert to a decimal are shown below:
*Image*
In what step is the first error?
Step 1
Step 2
Step 3
Step 4
Answer:
The actual answer is 9.25
Step-by-step explanation:
The mistake is in Step 4, as 4 × 2 = 8, not 6
chris is 5 years older than 4 times arins age. the sum of their ages is less than 40. what is the oldest arin could be?
Answer: 6 years old.
Step-by-step explanation:
Chris: 5+4a
c + a<40
5 + 4a + a < 40
5a<35
a<7
For the oldest, let's assume Arin is 6, because it is the highest number that is less than 7.
Arin can be maximum of 6 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let the Arin's age be x.
So, Chris age is 4x + 5
Now, the sum of their ages is less than 40.
x+ 4x+ 5 < 40
5x < 35
x < 7
Hence, Arin can be maximum of 6 years old.
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Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( D]
Answer:
x=2, y=0
Step-by-step explanation:
\(5x + 2y = 10\\3x + 2y = 6 \\5x-3x+2y-2y=10-6\\2x=4\\x=2\\3(2)+2y=6\\2y=6-6=0\\y=0\)
I need help ASAP
Mrs. Stevens deposited $4,500 in a college savings account for her grandson that earns an annual simple interest rate of 6.5%. How much interest will be paid in 10 years?
The interest that will be paid in 10 years is = $2,925
The total amount of money deposited as savings (p)
= $4,500,
The annual simple interest rate (r) = 6.5%.
The time to collect the interest expected (t) = 10 years.
There the simple interest generated =
\( \frac{p \times t \times r}{100} \)
\( \frac{4500 \times 10 \times 6.5}{100} \)
\( \frac{292500}{100} \)
Therefore simple interest = $2,925
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Four lengths have a mode of 12 km and a range of 5 km. One of the lengths is 14 km. What are the other three lengths?
The other three length are 9km,12km,14km as mode is 12km
What is mode?
The value that appears most frequently in a set of values is referred to as the mode. It is the value that shows up the most frequently. The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency.
The mean, median, and mode all have the same values for this distribution. This indicates that this value—the one that appears the most frequently in the data—is the average, the centre, and the mode.
Four lengths have a mode of 12 km and a range of 5 km.
The range is the largest number minus the smallest number.
As mode is 12 so one more number is 12 as well.
Now another number given 14km, so the last number is (14-5 = 9)
Hence the other three lengths are 9km,12km,14km.
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Which function could produce the graph shown below?
Answer:
f(x)=4e^0.05x
Step-by-step explanation:
Find the greatest common factor of the
following monomials:
22x5
34x6
Answer:
22x5 = 1
34x6 = 2
Step-by-step explanation:
This might be the answer
Answer:
2x^5
Step-by-step explanation:what equals 22 is 2,11
what equals 34 equals 2,17 and 1,34 are the factors of 34x^6
please help on this question i give brainliest
Answer:
1. 9 bounds of carbon dioxide
2. 27 bounds of carbon dioxide
Step-by-step explanation:
So let's find a unit rate: 1 to 9
"Why is it 1:9?"
If I can find divide 72 pounds into 8 hours? What would I find? You would find the pounds for each other
Example: 72/8=9. So If 9 carbon dioxide per hour. I can do 3 hours is 27 pounds of carbon dioxide.
So to sum it up, 72/8=9 so 1:9 can be used to figure out any amount of pounds used in a certain number of hours. So If 3 hours, then 27 pounds.
Answer:
1. 9 pounds of carbon dioxide
2. 27 pounds of carbon dioxide
Step-by-step explanation:
Well, I just know it.
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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The marked price of an article is Rs. 2200, After allowing a certain percent of disc amount from the with 13% Value Added Tax (VAT) levied, the article is sold at Rs. 2063.38. Find discount percent
To sell the article at a price of Rs. 2063.38 after applying 13% VAT, a discount of approximately 6.21% is given on the marked price of Rs. 2200.
Let's break down the given information to solve for the discount percent:
1. The marked price of the article is Rs. 2200.
2. After allowing a certain percent of discount, the article is sold at Rs. 2063.38, including 13% VAT.
Let's assume the discount percent as 'x'. We can calculate the discounted price using the formula:
Discounted Price = Marked Price - (Discount Percent/100) * Marked Price
Substituting the given values, we have:
2063.38 = 2200 - (x/100) * 2200
Now, let's solve the equation to find the value of 'x':
2063.38 = 2200 - 22x
Rearranging the equation, we have:
22x = 2200 - 2063.38
22x = 136.62
x = 136.62 / 22
x ≈ 6.21
Therefore, the discount percent is approximately 6.21%.
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