Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).
Also at 75 degrees, C = 126 it can be represented as (75, 126).
Using (45, 0) and (75, 126), we can determine the equation of the line from:
[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]
b) At t = 90°:
C = 4.2(90) - 189
C = 189 chirps per min
a. The expression of the number of chirps should be C = 4.2T - 189
b. The number of chirps per minute should be 189 chirps per min.
Calculation of an expression & number of chirps:Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.
So, here we used (45, 0) and (75, 126), we can measure the equation of the line from
[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]
C = 4.2(T - 45)
C = 4.2T - 189
b. When T = 90 degrees
So,
C = 4.2(90) - 189
= 189 chirps
Learn more about temperature here; https://brainly.com/question/18250055
Which equations are equivalent
Answer:
Step-by-step explanation:
wheres the picture?
5(-3p + 7) + 5(p - 1)
Answer:
The answer would be -10p+30.
Step-by-step explanation:
Distrubuting the 5 to -3p and 7 and 5 to p and -1 would be the first step.
Once you did that, you would get -15p+35+5p-5. Now just add -15p to 5p and add 35 to -5 and you'll get -10p+30.
What is an inherent zero? Describe three examples of data sets that have inherent zeros and three that do not.
Choose the correct answer below.
O A. An inherent zero is a zero that occurs in the data set naturally.
O B. An inherent zero is a value that the variable can take.
Ос.
An inherent zero is a zero that implies none
Answer:
An inherent zero is a zero that implies none
Step-by-step explanation:
A zero which means that a phenomenon or variable does not exist or isn't represented is called inherent zero. It simply implies none.
Datasets that have inherent Zero:
1. Average age of participants In years
2.) Rainfall height in inches during rainy period
3.) Speed of wind during a storm.
Datasets with no inherent zero :
Dataset which involves measuring constructs usually have no inherent zero, such as :
1.) Average IQ level in a group of students
2.) Average level of satisfaction
3.) measurement involving temperature
19. Find the perimeter of a triangle if the side lengths are 3 1/2 ft, 5 2/3 ft,
and 4 1/6 ft.
Answer: 13 1/3
Step 1: Find the LCD
Step 2: Add the fractions
Step 3: Simplify
if y=4 when x=12, ind y when x=24
Answer:
y=8
Step-by-step explanation:12 time what equals 24 its times two so you do 4 time 2 and you get your answer.
A line contains the points (82, -96) and (87, -86)
What is the slope of the line in simplified form?
A. -2
B. 1/2
C. 2
D. -1/2
==================================================
Explanation:
Subtract the y coordinates
y1-y2 = -96-(-86) = -96+86 = -10
Subtract the x coordinates in the same order
x1-x2 = 82-87 = -5
Divide the two differences to get the slope m
m = (y1-y1)/(x1-x2)
m = -10/(-5)
m = 2
You could also use the formula
m = (y2-y1)/(x2-x1)
to get the same result. All that matters is that you subtract in the same order for the x and y coordinates.
Determine if (5,6) is a solution to the equation y=1+x
Answer:
YES
Step-by-step explanation:
Substitute values.
(6) = 1 + (5)
6 = 1 + 5
6 = 6 YES
Express 48 1/4 in simplest radical form.
how far does a train go in 1 minute
Answer:
Step-by-step explanation:
umm we need more info. then that... like they can go all types of speeds in 1 minute..
Madisyn is planting crops in a triangular garden. The triangular garden can be
seen below. What is the amount of fencing that Madisyn needs?
Answer:
The amount of fencing Madisyn needs is approximately 20.77 m
Step-by-step explanation:
The coordinates of the vertices of the triangular garden are;
A(0, 6), B(6, 5), and C(5, -1)
The length of the sides of the triangle can be found through the given coordinates and the distance between coordinates formula presented as follows;
[tex]Distance \ between \ points \ given \ the \ coordinates = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, the length of AB is [tex]\sqrt{\left (5-6 \right )^{2}+\left (6-0 \right )^{2}} = \sqrt{37}[/tex]
The length of BC is [tex]\sqrt{\left (5-(-1) \right )^{2}+\left (6-5 \right )^{2}} = \sqrt{37}[/tex]
The length of AC is [tex]\sqrt{\left (6-(-1) \right )^{2}+\left (0-5 \right )^{2}} = \sqrt{74}[/tex]
Therefore;
The amount of fencing Madisyn needs = The length of the sides of the triangular garden
The length of the sides of the triangular garden = The length of AB + The length of BC + The length of AC
The length of the sides of the triangular garden = √37 + √37 + √74 ≈ 20.77 m.
The amount of fencing Madisyn needs ≈ 20.77 m.
The table shows how the radioactivity in iodine-131 decreases over time. The initial amount is 2.00 grams.
Radioactivity in Iodine-131
Day 1 2 3 45 7 8
Grams 1.83 1.68 1.54 1.41 1.30 1.19 1.09 1.00
6
Calculate the average rate of change in grams per day from day 4 to day 7. Enter your answer as a decimal rounded to the tenths place.
Answer:
The average rate of change in grams from day 4 to day 7 is approximately 0.11 grams/day
Step-by-step explanation:
The table for the radioactivity in iodine-131 can be presented as follows;
[tex]{}[/tex] [tex]{}[/tex]Radioactivity in iodine-131
Grams [tex]{}[/tex] Day
1.83 [tex]{}[/tex] 1
1.68 [tex]{}[/tex] 2
1.54 [tex]{}[/tex] 3
1.41 [tex]{}[/tex] 4
1.30 [tex]{}[/tex] 5
1.19 [tex]{}[/tex] 6
1.09 [tex]{}[/tex] 7
1.00 [tex]{}[/tex] 8
The average rate of change in grams from day 4 to day 7 is given as follows;
[tex]The \ rate \ of \ change \ from \ day \ 4 \ to \ day \ 7 = \dfrac{F(7) - F(4) }{7 - 4} = \dfrac{1.09 - 1.41 }{7 - 4} =-\dfrac{8}{75}[/tex]
The average rate of change in grams from day 4 to day 7 = -8/75 ≈ 0.11 g/day
The average rate of change in grams from day 4 to day 7 ≈ 0.11 grams/day rounded to the tenths place.
The average rate of change in grams per day from day 4 to day 7 is 0.11.
Calculation of the average rate of change:Radioactivity in iodine-131
Grams Day
1.83 1
1.68 2
1.54 3
1.41 4
1.30 5
1.19 6
1.09 7
1.00 8
Now the average rate should be
= F(7) - F(4) \ 7 - 4
= 1.09-1.41 \3
= -8\75
= 0.11
hence, The average rate of change in grams per day from day 4 to day 7 is 0.11.
Learn more about rate here: https://brainly.com/question/24656271
I have tried to answer it over and over again but never got the right anser
Answer:
#1) 25 degrees #2) 155 degrees #3) 25 degrees #4) 25 degrees #5) 5x+15= 110
Step-by-step explanation:
basically the use the vertical angle relationship to figure it out
that would mean that 4=155 and 3=1 and since the relationship is straight angle pair it means that 155+ x= 180 180-155= 25
5) CDE= FDG this is the vertical angle rule so 5x+15= 8x-42
solve that by adding like terms, 5x-15= 8x-42 +15 by doing adding to both sides it eliminates the 15 because you added it with the like terms, -42 and got -57
-57+8x= 5x now subtract 8 on both sides, -57= -3x divide and it equals 19
now plug that back into the eqaution of 5x+15 5(19)= 95 + 15= 110
A bicyclist rides 18 miles in 2 hours. How many miles will the bicyclist ride at this speed in 5 hours?
Answer:
30 miles
Step-by-step explanation:
Find the equation of the line passing through the given points. Express the equation in standard form.
(1,-6) and (-7,2)
We want to write the equation of the line passing through these two points in standard form.
First, we are going to do this in slope intercept form and then change the form to standard form, which is Ax + By = C
We will use the equation y = mx + b, and since we are given two points on the line we are going to determine the slope of the line by determining the change in the y coordinates
m = y sub2 - y sub1 divided by the change in the X coordinates x sub2 – x sub1
We will start by determining the slope
(1, -6) the 1 is x sub 1 and the 6 is y sub 1
(-7, 2) the -7 is x sub 2 and the 2 is y sub 2
2 - (-6) = 8
-7 -1 = -8
so equation now is m = -1
So now again referring back to the slope intercept of the line we now know y = -1 + b. We still have to determine b and the y intercept, and we can do this by using one of the given points and substituting in the value for y and x, and then solve for b. Since these points are on the line, they must satisfy this equation. If we use the first coordinates, we would substitute 1 for x and -6 for y.
-6 = -1 times x, which is 1 + b
b = -5
construct the line equation y = mx + b where m = -1 & b = -5
In slope intercept form the equation would be y = -x - 5
Now we want to write this in standard form now. We have to deal with two things. The x and y terms have to be on the left side and A and B and C have to be integers.
The standard form of a linear equation is Ax + By=CA x + By = C . Move all terms containing variables to the left side of the equation.
Add x to both sides of the equation.
y + x = -5
Reorder y & x
x + y = -5
Determine the relationship
A. Parallel because the slopes are the same
B. Perpendicular because the slopes are opposite reciprocals
C. Oblique because the slopes are different
Answer:
Perpendicular because the slopes are opposite reciprocals
Step-by-step explanation:
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answer:
He estimated that he had about $10.40 worth of groceries.
Step-by-step explanation:
Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales tax rate did Sam pay?
A.
0.06%
B.
0.65%
C.
6.5%
Answer:
6.5%
Step-by-step explanation:
Total cost before tax
= Cost of Brushes + Cost of Palette + Cost of paint
= 8 + 5 + 15
= $28.00
It is given that in total, he paid $29.82
Hence the amount he paid in taxes
= Total amount paid - total cost before tax
= $29.82 - $28.00
= $1.82
Therefore, sales tax rate
= (taxes / cost before tax ) x 100%
= (1.82 / 28) x 100%
= 6.5%
Answer:
C)6.5%
Step-by-step explanation:
so first you have to add up all the items, then u get 28.00, then what i did was i subtracted 29.82 and 28.00 i got 1.82. and 6.5 equals 1.82 so yea.
What is 68% of 118
Show work
Answer:
80.24
Step-by-step explanation:
The easiest way to do this is to convert 68% to a decimal and multiply by 188. To convert a percent into a decimal, all you have to do is move the decimal point twice to the left. So...
68%=.68 Now, we can multiply by 118.
.68x118=80.24 68% of 118 is 80.24!
I hope this helped you out...have a nice day c:
What is the simplified form of 37 - 57
Answer:
A
Step-by-step explanation:
What is an equation of the line that passes through the point (-5, -3) and is
parallel to the line 3x + 5y = 15?
9514 1404 393
Answer:
3x +5y = -30
Step-by-step explanation:
The parallel line can have the same x- and y-coefficients. You can find the value of the new constant by using the given point for x and y:
3x +5y = 3(-5) +5(-3) = -30
3x +5y = -30
Answer:
I try the top answer and it didn’t work bc it’s y= -3/5x-6
Step-by-step explanation:
Divide.
−4 1/3÷−2 3/5
123
145
215
235
Answer:
1 2/3
Step-by-step explanation:
Answer:
A. 1 2/3
Step-by-step explanation:
−4 1/3
−2 3/5
1 2/3
Sara ran a race at a constant speed of 10 minutes per mile. The entire race was 10 miles long. How many minutes did it take her to finish the entire race?
Answer:
100 minutes or 1 hour and 40 minutes
Step-by-step explanation:
10×10=100
Answer: do the math
Step-by-step explanation: go on google find a calculator us it. and solve it
hope this helps
Write the function using (x, y) when moving right 7 and down 9.
Your answer
Answer:
7,-9
Step-by-step explanation:
move 7 right from 0 and -9 down from 0
set up proportion and solve
Answer:
A.
Step-by-step explanation:
The Answer is A
E. To remove a zero pair, drag a box around the pair and click Remove. Remove all of the zero pairs.
What is the sum in simplest form?
Ans = Error
There is no problem for me to solve. Try re-posting the problem and I will try to solve it.
What is the slope of a line that passes through the points (0, 3) and (5,96)
Answer:
[tex]m = \frac{96-3 }{5-0}[/tex]
remember: slope is Δy/Δx :)
[tex]m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}[/tex]
[tex]m = \frac{96-3 }{5-0}[/tex]
[tex]m = \frac{93 }{5}[/tex]
I need help please anything would help
Answer:
you can't see your pdf at all
Find the slope of the line that passes through the following pair of coordinates: (15,18) (0,6)
Answer: y= (4/5)x+6
Step-by-step explanation:
(0,6) is the y intercept/b . Use y2-y1 for the slope/m. Y= Mx+b now is y=(4/5)x+6.
can someone help?
( I need it by 10/20)
=====================================================
Explanation:
C is the midpoint of AB. This means AC is half as long as AB
Put another way, AB is twice as long as AC
AB = 2*AC
AB = 2*( AC )
32 = 2*( x/2 + 10 ) .... substitution
32 = 2*(x/2) + 2*10 ... distribute
32 = x + 20
x+20 = 32
x = 32-20 .... subtract 20 from both sides
x = 12
---------
If x = 12, then
AC = x/2 + 10
AC = 12/2 + 10
AC = 6+10
AC = 16
which is half of AB = 32, so it confirms our answer.
I really need help with this can I please get some help
Answer:
no thxxxx
Step-by-step explanation: