Answer: From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
This relation is linear. The formula for linear function is:
y = mx + b
Using to pairs of points to get the slope and y-intercept
(0, 60) and (1, 64)
Calculating the slope:
m = (64 - 60)/(1 - 0) = 4/1 = 4
y - intercept is 60 as per point (0, 60)
So the function is
y = 4x + 60
Part A
Yes. Described above
Part B
y = 4x + 60
Part C
Slope is the steepness of the line.
y -intercept is the lowest score with no time spent studying
HOPE I HELPED ! Have a great day :)
The number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying
Linear CorrelationLinear Correlation is a measure of the degree to which two variables vary together, or a measure of the intensity of the association between two variables.
What are the steps to solve this problem?The steps are as follow:
We can see there is a relation between x and y values that for every step change of x = 0.5, every step change of y = 2So the relationship is linearBy using to pairs of points to get the slope and y-intercept (0, 60) and (1, 64)And Calculating the slope:m = (64 - 60)/(1 - 0) = 4/1 = 4
y - intercept is 60 as per point (0, 60)So the function is y = 4x + 60The slope and y-intercept of the plot indicate lowest score with no time spent studyingSo, the number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying
Learn more about Linear Correlation here:
https://brainly.com/question/4025726
#SPJ2
The answers plzzz I need help
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
https://brainly.com/question/24103758
#SPJ2
In two or more complete sentences, explain how to find the average rate of change of a function
simplify
3sin 0+ 2sin 0- 4sin0+ 5sin0
step by step
Answer:
0
Step-by-step explanation:
3x0+2x0-4x0+5x0
0
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
Plz Help me Asap. And explain
Answer:
n=(1/6) or n=-5/2
Step-by-step explanation:
|6n+7|=8
6n+7=8 or 6n+7=-8
6n=1 or 6n=-15
n=(1/6) or n=-5/2
three fewer than four times a number is five more than twice the number. What is the number
A. 1
B. 2
C. 4
D. -1/3
Answer:
C.4
4x-3=2x+5
x=4
Step-by-step explanation:
The number which is "three fewer than four times a number is five more than twice the number" is 4.
Linear EquationThe equation having the highest power of its variables as 1 is known as a linear equation.
How do we find the number?Let the required number be x.
The given condition is - "Three fewer than four times a number is five more than twice the number."
Based on the given condition we will form an equation and solve it for x to find the required number.
The resulting linear equation is,
4x-3 = 2x+5
4x-2x = 5+3
2x = 8
x = 4
Hence, the required number is 4.
Learn more about linear equations here - https://brainly.com/question/1682776
#SPJ2
Club members wrote a program together, with several people working on each of 4 parts. If the first part of the program required 1/3 of the total time, the second part needed 1/2 of the remaining time, the third part took 30 minutes, and the fourth part took 60 minutes, how many hours did the program take to write?
Answer:
Step-by-step explanation:
4 parts: 1/3 + 1/2 + 30min + 60min
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes
The total time did the program take to write is 2 hours and 20 minutes.
It is required to find total time.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given that:
several people working on each of 4 parts.
First part = 1/3 of the total time,
The second part = 1/2 of the remaining time,
The third part =30 minutes,
Fourth part= 60 minutes,
So, the total time in hour.
4 parts:
1/3 of an hour is = 20 minutes
1/2 of an hour is 30 minutes
Total time=1/3 + 1/2 + 30min + 60min
=20 + 30 + 30 + 60(1h)
= 140 minutes
= 2 hours and 20 minutes.
So, the total time did the program take to write is 2 hours and 20 minutes.
Learn more about arithmetic here:
https://brainly.com/question/24337087
#SPJ2
Please help answer all these questions. I will give brainliest questions aint in order
Answer:
please send the questions again
i need help with this question.
The graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (pi/4, -9)
Answer:
I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun
HEEEEELLLLLLPPPPPPPPOP
4(x-8) = 4x-4*8
= 4x - 32
Answer:
4(x-8) = 4x-4*8
= 4x - 32
Step-by-step explanation:
Find the area of each figure. Round to the nearest tenth if necessary.
Shape 1: TRIANGLE
Formula: A = 1/2 x bh
1/2 x (10)(5) = 25
AREA: 25 square yards
Shape 2: RECTANGLE
Formula: A = lw
(12)(10) = 120
AREA: 120 square yards
Sum (ADD)
25 yd^2 + 120 yd^2 = 145 yd^2
The area of the composite figure is 145 yd^2
Help a girl out?
17 - 12m = -11(m-2)
Answer:
-5 = m
Step-by-step explanation:
17 - 12m = -11(m-2)
Distribute
17 -12m = -11m +22
Add 12m to each side
17 -12m+12m = -11m+22+12m
17 = m+22
Subtract 22 from each side
17 -22 = m+22-22
-5 = m
[tex]\underline{\sf \: 17 - 12m = -11(m-2)}[/tex]
Use the distributive property to multiply -11 by m-2.
17 - 12m = - 11m + 22
Add 11m to both sides.
17 - 12m + 11m = 22
Combine -12m and 11m to get -m.
17 - m = 22
Subtract 17 from both sides.
- m = 22 - 17
Subtract 17 from 22 to get 5.
- m = 5
Multiply both sides by -1.
[tex]\large\boxed{\underline{\bf \: m = -5}}[/tex]
Hope it helps.
RainbowSalt2222
Si a cero se le resta cualquier número entero el resultado siempre es el
mismo número, pero con signo positivo.
Please comment this in english.
Choose a number line to model the following situation:
After a gain of 25 yards, the football team lost 25 yards on the next play. (4 points)
a
A horizontal number line is shown with labels at 0 and 25. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 0.
b
A horizontal number line is shown with labels at negative 25, 0, and 25. A purple arrow (labeled gain 25 yds )begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 0 and ends at negative 25.
c
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 50 and ends at 25.
d
A horizontal number line is shown with labels at 0, 25, and 50. A purple arrow (labeled gain 25 yds) begins at 0 and ends at 25. A red arrow (labeled lose 25 yds) begins at 25 and ends at 50.
Answer: A
Step-by-step explanation: because the number line shows a gain of 25 then a loss of 25, it represents the question showing +25 then -25. so the answer is A
Hope this helps
which numbers round to 40 when rounding to 10s?
Answer:
35, 36, 37, 38, 39, 41, 42, 43 and 44
Step-by-step explanation:
Everything above 5 rounds upwards, and all numvers below 5 rounds down. So 34 and down will be rounded to 30, and that's what happens with 44, 43, 42, and 41.
One bag of peanuts costs $ 1.52. How many bags can you buy with $34.96?
5/10+8/100
I NEED HELP PLSSSS
Answer:
1 58/100 or 1 29/50 (simplified)
Step-by-step explanation:
you can turn them into decimals
5/10 = 0.5
8/100 = 0.08
0.5 + 0.08 = 0.58
0.58 = 58/100 = 29/50
Please help with this.
Answer:
g(1)=-72; g(n)=g(n-1)*(1/6)
Step-by-step explanation:
g(1)= -72*(1/6)^(1-1)=-72*(1/6)^0=-72*1=-72
g(2)=-72*(1/6)^(2-1)=-72*(1/6)^1=-72*(1/6)=-12
g(2)=g(1)*(1/6)
g(n)=g(n-1)*(1/6)
Please help these are the last ones I need I will mark you as brainliest if you answer them correctly! Ty
Plss help I need this ASAP
The accompanying table shows the amount of
water vapor, y, that will saturate 1 cubic meter of
air at different temperatures, x.
Write an exponential regression equation for this set of data, rounding all values to the nearest thousandth. Using this equation, predict the amount of water vapor that will saturate 1 cubic meter of air at a temperature of 50 degrees centimeters, and round your answer to the nearest tenth of a gram.
Answer:
milk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammonia
Step-by-step explanation:
milk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammoniamilk has a pH of 6.0 and household ammonia has a pH of 12.0. How much more acidic is milk than ammonia
Plz answer fast! Tell the correct answer(both parts), or else I will report you.
Answer:
d1 = -1.5
dn = dn-1 *-4
Step-by-step explanation:
-1.5, 6, -24,96
The first terms is d1
d1 = -1.5
To find the common ratio divide the second term by the first term
6/-1.5 = -4
Check 6*-4 = -24
-24*-4 = 96
dn =dn-1 * -4
Answer:
D (1) = -1.5
D (n)= dn-1 *-4
Step-by-step explanation:
I know ;) hope this helps.
what is the constant rate of change of the function represented in the table?
X: -5 -1 3 7
Y: 23 7 -9 -25
PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST
Answer:
-4
Step-by-step explanation:
please tell me if u need explaination
Could someone help me with (Q 15?) Maybe a brainliest if you do step by step and get the correct answer. Thank you :D
Answer:
It is a reflection across the y axis
Step-by-step explanation:
The reflection of point (x, y) across the x-axis is (x, -y).
The reflection of point (x, y) across the y-axis is (-x, y).
Since (-4, -2.4) becomes (4, -2.4) The x values changes sign. It is a reflection across the y axis
Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:
A.
4,5 cm
B.
7,5 cm
C.
8cm
D.
18cm
Answer:
C
Step-by-step explanation:
Determine whether each sequence is an arithmetic sequence. If yes, then state the common difference.
7, 10, 13, 16,...
Answer:
3
Step-by-step explanation:
d= term4 - term3
16-13=3
d= term2 - term1
10-7=3
Function f(x) =ax +b where a and b are integers and a<0 has a domain 1
Answer:
sorry i read the question wrong and put a wrong answer im not sure how to delete
Step-by-step explanation:
Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - 5.
Option A: 21x^2-4x+4+C
Option B: 21 x^2-4x+4-5
Option C: 21 x^2-4x+4
Option D: 21x^2-4x+4-5/x
a. How many non-degenerate scalene triangles with integer sides have a
perimeter of 27?
b. A square is inscribed in an equilateral triangle of side length 2 so that
two adjacent corners of the square lie on two sides of the triangle, and
the third side of the triangle contains one side of the square. The area of
the region inside the triangle and outside the square can be expressed as
a√b − c. What is a + b + c?
Answer:
Hello,
a)18
Step-by-step explanation:
[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]
number of triangle=18
b)
Side of the equilateral triangle =2
Height=√3 (using Pythagorean's theorem) (tr ACP)
Triangle ABJ has the same area as the triangle ABC
Uisng Thalès's theorem,
[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]
