Suppose that you were 24 inches long at birth and 4 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies with age. Use the equation to predict the height at age 9 and 31
Answers
An equation for this linear function that describes how height varies with age is y = 1/5(x) + 2.
The predicted height at 9 is 3.8 feet.
The predicted height at 31 is 8.2 feet.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Conversion:
1 feet = 12 inches
24 inches = 24/12 = 2 feet.
Next, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 - 2)/(10 - 0)
Slope (m) = 2/10
Slope (m) = 1/5
At data point (0, 2) and a slope of 1/5, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 1/5(x - 0)
y = 1/5(x) + 2
When x = 9, the predicted height is given by;
y = 1/5(9) + 2
y = 3.8 feet.
When x = 31, the predicted height is given by;
y = 1/5(31) + 2
y = 8.2 feet.
Read more on point-slope here: brainly.com/question/24907633
#SPJ1
Related Questions
The polygons are similar. Find the value of the variable. Please HELPPPPPP!!!!
Answers
Answer:
C)
Step-by-step explanation:
Well, we know for the first polygon that the short side of the rectangle is 3 and for the second polygon the short side is 6, this means that for the second polygon, all sides will be double of the other side. 2 times the long side of the first rectangle is 18, this is why x = 18.
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!
Answer:
C
Step-by-step explanation:
Because since 3 divided by 9 is 3 u have to double up the amount by 3 and that will be 18
Kemani Walker
Law of Sines
Jun 15, 9:29:00 PM
?
In ATUV, t = 820 inches, m/U=132° and m2V=25°. Find the length of u, to the
nearest inch.
Answer: u =
Submit Answer
Answers
The length of u, to the nearest inch, is 1818 inches.
To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
In this case, we'll use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
Let's label the sides and angles of the triangle:
Side a = u (length of u)
Side b = t (820 inches)
Side c = v (length of v)
Angle A = m/U (132°)
Angle B = m2V (25°)
Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)
Now, we can use the Law of Sines to set up the equation:
u/sin(A) = t/sin(B)
Plugging in the given values:
u/sin(132°) = 820/sin(25°)
To find the length of u, we'll solve this equation for u.
u = (820 \(\times\) sin(132°)) / sin(25°)
Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:
u ≈ (820 \(\times\) 0.9397) / 0.4226
u ≈ 1817.54 inches
Rounding to the nearest inch, we have:
u ≈ 1818 inches
For similar question on Law of Sines.
https://brainly.com/question/30401249
#SPJ8
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Answers
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
A tower is located 325 ft from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 40 degrees and the angle of depression to the bottom is 30 degrees. How high is the window? How tall is the tower?
Answers
Answer:
This is a simply application of the trigonometric ratios.
60 POINT QUESTION. Middle school math, ordered pairs.
Answers
Answer:
(0,2)
(3,0)
Step-by-step explanation:
(3,0)
Is the correct answer
Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters
Answers
Answer:
A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)
If anyone could help it would be great
Answers
Answer:
See the pictureStep-by-step explanation:
Solved, green filled arrows in the picture
Gina charges an initial fee and an hourly fee to babysit. Using the table below find the hourly fee and the initial fee that
Gina charges to babysit. Show work.
Cost in Dollars
Answers
Answer:
13 dollars
Step-by-step explanation:
I need help with this question. Solve in y=a•b^x format
Answers
Solve the equation in this format:
\(y=a\mathrm{}b^x\)when x = 0, y = 1000
\(\begin{gathered} y=ab^x \\ 1000=a\mathrm{}b^0 \\ 1000=a\ldots\ldots\text{.}\mathrm{}(1) \end{gathered}\)when x = 2, y = 360
\(\begin{gathered} y=a\mathrm{}b^x \\ 360=ab^2\ldots\ldots..(2) \end{gathered}\)solve the equation simulataneously
\(\begin{gathered} 1000=a\ldots\ldots(1) \\ 360=ab^2\ldots....(2) \\ sub\text{ the value of a in equ(2)} \\ 360=1000b^2 \\ \text{divide both side by 1000} \end{gathered}\)\(\begin{gathered} \frac{360}{1000}=\frac{1000b^2}{1000} \\ \frac{36}{100}=b^2 \\ \text{square the root of both side} \\ \sqrt[]{\frac{36}{100}}=\sqrt[]{b^2} \\ \frac{6}{10}=b \\ \frac{3}{5}=b \end{gathered}\)Therefore the equation of the function is
\(\begin{gathered} y=a.b^x \\ y=1000.(\frac{3}{5})^x \end{gathered}\)What do you do when you have to simplify a rato
Answers
Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of the summer. Justin withdraws $20 each week for food, clothes, and movie tickets. How many weeks (w) can Justin withdraw money from his account?
Answers
Answer:
10 weeks
Step-by-step explanation:
1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)
If 8x + 7y = 6 is a true equation, what
would be the value of 5 + 8x + 7y?
Answers
Answer:
11
Step-by-step explanation:
Can anyone help me ??
Answers
Answer:
(5,11)
Step-by-step explanation:
try using desmos graphing calculator
1.) A small container holds 75% as much as a large container.If the small
container holds 36 units, how much does the large hold? Show your work
on either the double number line, the table, or using a tape diagram.
Answers
Answer: The large container holds 48 units
Step-by-step explanation:
36/3=12=25%
25%*4=100%
12*4=48
Homework: 1. The cost of 4 cartons of milk is $12. What's the unit price? Ratio $12:4 cartons of milk
Answers
The answer is $3 per carton
It is estimated that a driver takes, on average, 1.5 seconds from seeing an obstacle to reacting by applying the brake or swerving.
How far will a car, traveling at 65 miles per hour, travel in feet before the driver reacts to an obstacle? Round answer to the ones place.
HELP PLEASE! BIG POINTS THANK YOU!
Answers
Step-by-step explanation:
1 mile = 5280 ft
1 hour = 3600 seconds
65 miles / hour =
= 65 × 5280 ft / 3600 seconds = 65 × 528 ft / 360 s =
= 13 × 264 ft / 36 s = 13 × 66 ft / 9 s = 13 × 22 ft / 3 s =
= 13 × 11 ft / 1.5 s = 143 ft / 1.5 s
so, at 65 mph the driver travels 143 ft before the driver reacts (1.5 s) to an obstacle.
Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
Answers
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
for more such questions on equation
https://brainly.com/question/22688504
#SPJ8
Lots of points if answer is serious
Find the image of Z(1, 1) after two reflections, first across line 1, and then across line 2.
Line 1: y = 2
Line 2: x-axis
Answers
Answer:
The image of Z would be (1, -3).
Step-by-step explanation:
After reflecting across y = 2, Z' is (1, 3). Reflecting across the x-axis would make the y value negative, making it (1, -3).
2.(3x²-5)-5=9
Ayuda/help
Answers
Answer:
2
Step-by-step explanation:
2(3x²-5)-5=9
6x²-10-5=9
6x²-15=9
6x²=9+15
6x²=24
x²=24/6
x²=4
x=2
solve for x;
2/7 x + 1/5 x=51
Answers
Answer:
x = 105
Step-by-step explanation:
To solve for x, we simply need to isolate it:
\(\frac{2}{7}x+\frac{1}{5}x=51\\ \frac{17}{35}x=51\\ x=105\)
Translate the sentence into an equation. will mark brianliest The product of 6 and a number is 108. What is the solution to the equation? a 18 x b 22 x x c 102 x d 648
Answers
Answer:
6 * x = 108
Step-by-step explanation:
Answer:
18. its correct, i did unit rev on edge
Step-by-step explanation:
Please hurry Im timed!!
Divide.
3
2.
mo
-
23
5
9
02
10
11
1
15
ON
9
O3
10
3
014
45
Answers
Answer:
39/10
Step-by-step explanation:
.......................
In a standardized IQ test scores are normally distributed, with a mean score of 100 and a standard deviation of 15 what is the highest score that would still plays a person in the bottom 10% of the scores
Answers
The 68-95-99.7 Rule Example
Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.
QUESTION DOWN BELOW!
ITS DUE SOON PLEASE HELP EXPLAIN THIS!!
Answers
Step by step
Object 1 = 169 cm squared
Object 2 = 25 cm squared
To compare, find the square root of each figure
Object 1 = 169 cm squared = 13
Object 2 = 25 cm squared = 5
Answer is 13:5
The vertices of the triangle below are points G (-1,-4), H (-3,-3), and J (-1,-3). Find the length of segment GH. Provide an answer accurate to the nearest tenth.
Answers
The length of segment GH is approximately 2.2
We have,
To find the length of segment GH, we need to calculate the distance between points G(-1, -4) and H(-3, -3).
The distance formula between two points \((x_1, y_1) ~and ~(x_2, y_2)\) in a coordinate plane is given by:
\(d = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}\)
Applying the formula to the coordinates of points G and H, we have:
d = √((-3 - (-1))² + (-3 - (-4))²)
d = √((-3 + 1)² + (-3 + 4)²)
d = √((-2)² + (1)²)
d = √(4 + 1)
d = √(5)
The length of segment GH is the square root of 5, which is approximately 2.24 when rounded to the nearest tenth.
Therefore,
The length of segment GH is approximately 2.2
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
For more questions on Deviation .
https://brainly.com/question/24298037
#SPJ8
Can you help? fifteen points!
Answers
Answer:
segment addition property?
you are adding two segments to equal Pr
Step-by-step explanation:
Find the common ratio of the geometric sequence -20, 140, -980, ...
Answers
Answer:
-7
Step-by-step explanation:
-20 × -7 = 140
140 × -7 = -980
irreducible fraction of -72/80 please
Answers
Answer:
Step-by-step explanation:
-72/80 = -36/40 = -18/20 = -9/10
Divide 2/3 by 8/15. Simplify your answer
Answers
Answer:
5/4
Step-by-step explanation:
(2/3)/(8/15)
= (2/3)(15/8)
= (2*15)/(3*8)
= 30/24
= 5/4
The correct answer is: " \(\frac{5}{4}\) " ; {written as an improper fraction} ;
or: " 1.25 " ; {written as a decimal value} ;
or: " \(1\frac{1}{4}\) " ; {written as a mixed number fraction}.
__________________
Step-by-step explanation:
Given: \(\frac{2}{3}\) ÷ \(\frac{8}{15}\) = ? {for which we shall solve}.
Note: 'Dividing by' a value; results in the same value as 'multiplying by' its reciprocal value [that is: 'multiplying by its inverted form'].
This is especially noteworthy in problems that involve 'dividing by fractions'.
So, to solve and simply our given problem:
\(\frac{2}{3} * \frac{15}{8}\) = ? ;
Note: The 2 cancels out to 1 ; and the 8 cancels out to 4 ;
The 3 cancels out to 1 ; and the 15 cancels out to 5 ;
→ since: {8 ÷ 4 = 2 } ; & {2 ÷ 2 = 1} ;
and :
→ since: {15 ÷ 3 = 5 } ; & {3 ÷ 3 = 1 } .
______
We can rewrite our "further simplified" expression as:
→ \(\frac{1}{1}\) * \(\frac{5}{4}\) ;
= " 1 * \(\frac{5}{4}\) " ;
= " \(\frac{5}{4}\) " .
Further explanations:
1) Note: Re: the "commutative property" of multiplication:
" a * b = b * a " ; or, write as: " ab = ba " ;
As such: " 1 * \frac{5}{4} " ; is the same as:
↔ " \(\frac{5}{4}\) * 1 " .
2) Note: Re: the identity property of multiplication:
Any value, multiplied by "1", results in/ retains its same value}.
As such; our calculated value:
" \(\frac{5}{4}\) * 1 " = \frac{5}{4} " .
3) Note: Re: the division of one (1) property of division:
Any value, divided by "1" ; results in that same initial value.
As such: our calculated value: " \(\frac{1}{1}\) = (1 ÷ 1) = 1 " ;
4) Note: Re: the division by itself property of division:
Any value (except "0"), divided by itself, is equal to "1 " ;
As such: our calculated value: " \(\frac{1}{1}\) = (1 ÷ 1) = 1 " ;
______
So, this answer—which is the most simplified, improper fraction—
is: " \(\frac{5}{4}\) " .
Or, to write as a mixed fraction:
Use the mnemonic:
\(\frac{n}{d}\) = M \(\frac{a}{d}\) ;
That is: "numerator/denominator = M( \(\frac{a}{d}\) )" ; {"M a/d" !} l
⇒ in which M is the [calculated singular whole number portion within the mixed number equivalent] ;
⇒ followed by " \(\frac{a}{d}\) " ; in which d is the same denominator as that of the improper fraction ;
⇒ & in which a is the calculated numerator value for the fraction portion for this number ;
So: " \frac{5}{4}} " = (5 ÷ 4) = 1.25 = 1 \(\frac{1}{4}\) " .
______
Long division method:
__________________________________________
1 R 1 ; ⇒ 1 + (1/4) ; that is; " 1 + (remainder) / (divisor)";
4⟌5 → 1 + ( 1 / 4) ;
− 4 = " 1 \(\frac{1}{4}\) ".
1 ; So, " \(1\frac{1}{4}\) " ; as a mixed number fraction.
or: Use a fraction calculator to convert improper fractions into mixed number fractions.
________________________
or: Use a calculator: " {5 ÷ 4} = 1.25 " .
____
The correct answer is: " \(\frac{5}{4}\) " ; {written as an improper fraction} ;
or: " 1.25 " ; {written as a decimal value} ;
or: " \(1\frac{1}{4}\) " ; {written as a mixed number fraction}.
____
Hope this answer is helpful!
Wishing you the best!
____