Myron records the number of chirps per minute (x) that crickets make at different temperatures(Y ) in degree Fahrenheit. he determines that the association is linear and that the line of best fit is Y=1/6x+60.what is the interpretation of the slope and y intercept of this question?
Option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. A linear equation is represented graphically by the line whose points give the collection of solutions of the equation.
For the given situation,
The graph shows the Myrons record of number of chips per minute to temperature in degrees.
Let x be the number of chirps per minute.
Let y be the crickets make at different temperatures in degree Fahrenheit.
The linear equation of line that best fit is Y = 1/6x + 60.
The general form of equation is y = mx + c, where m is the slope and c is the y-intercept.
Here slope, [tex]m=\frac{1}{6}[/tex] and
y-intercept = [tex]60[/tex]
From the graph, the slope predicts a temperature increase of about (1/6)° for every increase of 1 chirp per minute. The y-intercept shows that when crickets are not chirping (x=0), the temperature is 50°.
Hence we can conclude that option (D), predicts the interpretation of the slope and y-intercept of this equation is the correct answer.
Learn more about linear equations here
https://brainly.com/question/19998526
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An aquarium tank in the shape of a rectangular prism is 56 cm long, 29 cm wide, and 24 cm high. The top of the tank is open, and the glass used to make the tank is 1 cm thick. The volume for the aquarium is 37,352 cm3. What if, to provide greater strength, the glass bottom were increased to a thickness of 4 cm? How much less water would the tank hold? The tank can hold ________ cm3 less water than a tank that can hold 37,352 cm3 of water.
Answer:
The answer is 12.
8. Find the surface area of a triangular pyramid if the area of each phase is 16 cm² and each of its lateral faces has an area of 9 cm².
Answer:
The base of a right pyramid is an equilateral triangle with area 16√3 cm². area of one of its lateral faces is 30 cm²
To find : height (in cm) i
Solution:
The base of a right pyramid is an equilateral triangle with area 16√3 cm²
Area of an equilateral triangle = (√3 / 4) Side ²
(√3 / 4) Side ² = 16√3
=> Side ² = 64
=> Side = 8 cm
Distance of center of triangle to mid point of Side for Equilateral triangle = side/ 2√3 = 8/ 2√3 = 4/√3
Let say Height = H
Slant Height = √((4/√3)² + H²)
Area of lateral surface = (1/2) * base * Slat Height
= (1/2) * 8 * Slant height = 30
=> Slant height = 15/2
15/2 = √((4/√3)² + H²)
=> 225/4 = 16/3 + H²
=> 611/12 = H²
=> H = 7.135 cm
Step-by-step explanation:
Find the area of the triangle.
Answer:
Step-by-step explanation:
8.12 / 2
96 / 2
= 48
have a nice day!Answer:
48 m²
Step-by-step explanation:
[tex]A=\frac{1}{2}bh\\=\frac{1}{2}*8*12\\=4*12\\=48[/tex]
49. Calculate the value of c in the triangle below.
Answer:
26 cm
Step-by-step explanation:
c = a^2 + b^2 = 10^2 + 24^2 = 26
Answer:
26m.
Step-by-step explanation:
since the triangle has a 90° angle, it means that the triangle is a Right - angled triangle. So, we are going to use the pathagorean theorem to find the missing side.
a² + b² = c²
a and b are the two shorter and adjacent sides to the 90° angle
c is the hypotenuse
10² + 24² = c²
100 + 576 = c²
676 = c²
find the square root of 676 to get c = 26.
What is the circumference, in centimeters, of the circle? Use 3.14 for π.
Step-by-step explanation:
circumference = 452.16 cm^2
here's your solution
=> Radius = 12 cm
=> circumference of circle = πr^2
=> circumference = 3.14*12*12
==> circumference = 452.16 cm^2
hope it helps
What value from the set [4.5.6.7.8] makes the equation 8x + 1 = 57 true? Show your work?
No fake/scam answers - No "i dunno" answers - no gacha life avatars
Answer:
7
Step-by-step explanation:
8x+1=57 subtract 1 from each side
8x=56 divide by 8
x=7
Marissa’s fish tank is running low on water.
a) How much water can the tank hold?
b) How much water is already in the tank?
c) How much more water is needed to fill the tank?
ummmmmmmmmmmmmm yeah haha
Answer: C
Step-by-step explanation: answer is C
There is approximately 0.62 km in 1 mile. If you walk 12.5 miles, how many kilometers did you walk?
Answer:
Approximately 8.125 km
Step-by-step explanation:
The ratio 0.62 : 1 is equal to the ratio 8.125 : 12.5
To get this answer
Multiply both sides of the ratio by 12.5. 0.62(×12.5) : 1(×12.5)Your answer will be 8.125 : 12.5The final answer would be 8.125 km : 12.5 miles.A rectangular room measures 10 feet by 12 feet. Find the cost to install new baseboards around the room if the cost of the baseboard is $0.66 per foot.
Can someone help me with these questions. Find the probability of them all. They ARE NOT answer choices they are QUESTIONS. I will report you if you do not follow directions
Answer:
Step-by-step explanation:
21: 9/15+1/4= 0.85, if you turn that into a percent it is 85%
23: 7/15+1/4 = 0.716, turned into a percent is 71.6%
i dont have the time to finish the rest rn, sorry
Calculate the area of each shape below. Figures are not drawn to scale.
Answer:
triangle 1: 30
triangle 2: 30
rectangle: 144
Step-by-step explanation:
triangle 1: (12*5)/2
triangle 2: (12*5)/2
rectangle: 12*12 = 144
Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning. (Please help ASAP I'll give the first answer brainliest)
Help pls??Thank you!!
Answer: 4700
Step-by-step explanation:
47(-20)(-5)
47(-20)
-940(-5)
Slope of the graph?
( irrelevant answers and links will be reported)
MATH RIDDLE! hey guys it’s been a while but I got another one! Have fun! Brainliest on the line!
Answer:
Okkkk what is the riddle
Step-by-step explanation:
(#5) A carpenter has two different-sized circular saws. The smaller saw has the radius shown. I couldn't show it, so it is 1.25 inches. The larger saw has a diameter that is 1.5 inches greater than the diameter of the smaller one. How much greater is the circumference of the larger saw than the smaller saw? Use 3.14 for π. Attach a picture of your work. *
Answer:
4.71 in. difference
Step-by-step explanation:
so, the radius of the smaller saw is 1.25 and the diameter is double the radius. so it is 2.5 in diameter. the larger saw is 1.5 in greater which is 4 in.
to find circumference, you have to use the solution C = πd or circumference = pi x diameter.
3.14 x 2.5 = 7.85
4 x 3.14 = 12.56
subtract 7.85 from 12.56 to get your answer! i hope this helps!
The Philadelphia Museum of Art’s triangular pediment has the measurements shown in the diagram. What is the area?
840 ft2 , 840 ft^2
58 ft2 , 58 ft^2
420 ft2 , 420 ft^2
82 ft^2
Answer:
420 ft^2
Step-by-step explanation:
12x70=840
840/2=420
PLS HELP THANK YOUUU- NO BITLY
Answer:
B
Step-by-step explanation:
35/5 = 7 chocolate chips per cookie
15 x 7 = 105
100>105
helpppppppppppppppppppppppppppppp ill give brainliest
Answer:
The area is 3.14 units squared.
Step-by-step explanation:
Since area for a circle is radius squared x pi, and the radius is 1 (diameter/2), and 1^2=1, then 1x3.14=3.14.
just answer heheheh k thx
Answer:
Question 4: answer a
question 5: answer a
Step-by-step explanation:
question 4: all sides are equal
Answer:
Question A and B is A
Step-by-step explanation:
help me out im stuck on these 2 problems
10. Consider the diagram below.
A. solve for x
B. Solve for y
Answer:
y = 26 x= 42
Step-by-step explanation:
ftt5tffr4gfgghji89iiiu7jj
A group of students is surveyed to determine their music genre preference. The results are shown.
Complete the table.
Frequency Relative Frequency
I WILL GIVE BRAINLIEST!
(Picture provided)
What is m
A. 56°
B. 68°
C. 112°
D. 124°
Answer:
I couldn't tell which angle you meant, so the two missing angles are Q = 56 and S = 68
Step-by-step explanation:
Q = 180 - 124
Q = 56
56 (angle Q) + 56 (angle R) = 112
S = 180 - 112
S = 68
How is unit rate related to the linear equation?
Answer:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example
Step-by-step explanation:
Answer:
A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function.
Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can have two or more numbers within the set of parentheses.
32+10-8+2-3.GIVING BRAINLYEST
Which answer choice below contains, a number, it's opposite, and it's absolute value in this order?
A) 101, -101, -101
B) -6, -6, -6
C) 2.89, -2.89, 2.89
D) 15, 15, 15
Please help i will give brain-list!
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria doubled each day—from 5 to 10, then from 10 to 20, and so on.
Is the population of bacteria a function of the number of days? If so, is it linear? Explain your reasoning.