Answer:
a) [tex]y=\frac{23}{6} x-156[/tex]
b) [tex]\frac{268}{3}[/tex]
Step-by-step explanation:
Formulas for linear equations:
Slope-intercept: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Point-slope: [tex]y-y_1=m(x-x_1)[/tex], where (x₁, y₁) is a point on the function and m is the slope.
a) We are given two points. If you're given two points (x₁, y₁) and (x₂, y₂), the slope m is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Let's mark the temperature on the x-axis, and the number of chirps per minute on the y-axis. So, we have the following points: (60, 74), and (72, 120). Calculating the slope m between these two points:
[tex]m=\frac{120-74}{72-60}[/tex]
[tex]m=\frac{23}{6}[/tex]
Since we have the x and y coordinates of a point on the function, we can write an equation in point-slope form, which will help us to find the y-intercept. We need the y-intercept in order to write the slope intercept form of the equation. We will use the point (60, 74) here, although you can also use (72, 120) if you want.
Point-slope form equation of the linear function:
[tex]y-74=\frac{23}{6} (x-60)[/tex]
Now that we have the point-slope equation of the function, we can find the y-intercept. The y-intercept is the point on the function where the graph crosses the y-axis (when the x-value is 0). So, we plug in 0 for x into the equation and solve for y:
[tex]y-74=\frac{23}{6} (0-60)[/tex]
[tex]y=-230+74[/tex]
[tex]y=-156[/tex]
Now that we have the y-intercept value of the function, we can write an equation in slope-intercept form:
[tex]y=\frac{23}{6} x-156[/tex]
b) Since we marked the temperature on the x-axis, we can just plug in the number 64 as the x-value into the equation we have. y will be the number of chirps per minute when the temperature is 64º.
[tex]y=(\frac{23}{6} *64)-156[/tex]
[tex]y=\frac{736}{3} - \frac{468}{3}[/tex]
[tex]y=\frac{268}{3}[/tex]
If you have any questions, leave a comment below.
A 3-yard roll of wrapping paper costs $13.14. What is the price per foot?
Answer:
Step-by-step explanation:
1 yard is equal to 3 feet.
since you have 3 yards, it'll be 9 feet.
13.14/9 to get your answer
or $1.46 per foot
The price per foot of wrapping paper is $1.46.
First, we need to convert 3 yards to feet. There are 3 feet in 1 yard, so 3 yards is equal to 3 * 3 = 9 feet.
The price per foot is simply the total price divided by the number of feet. In this case, the total price is $13.14 and the number of feet is 9, so the price per foot is:
price per foot = $13.14 / 9 feet
= $1.46 per foot
Therefore, the price per foot of wrapping paper is $1.46.
To learn more about price here:
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help me I'm bout to breakdown on this and cry help I'm rlly not ok
Answer:
the answer id D the last one
Answer:
me: ay! sir! its says no pooin there! ???: I'm not pooin! I'm peeing! me: =.= o ok!
Step-by-step explanation:
XD
AWARDING DOUBLE POINTS question in pic, will report anything other than the answer
Answer:
m∠R is 72°
Step-by-step explanation:
In the given figure
∵ ΔPQR ≅ ΔUVW
→ From congruency
∵ m∠P = m∠U
∵ m∠Q = m∠V
∴ m∠R = m∠W
∵ m∠R = (10x - 18)°
∵ m∠W = 8x°
∵ m∠R = m∠W
→ Equate their measures
∴ 10x - 18 = 8x
→ Add 18 to both sides
∵ 10x - 18 + 18 = 8x + 18
∴ 10x = 8x + 18
→ Subtract 8x from both sides
∴ 10x - 8x = 8x - 8x + 18
∴ 2x = 18
→ Divide both sides by 2 to find x
∴ x = 9
→ Substitute the value of x in the m∠R
∵ m∠R = 10(9) - 18
∴ m∠R = 90 - 18
∴ m∠R = 72°
∴ m∠R is 72°
A person rents a moving truck for the day. There is an initial fee of 20$ and an additional 0.25$ every mile driven. Write the equation represent cost, C(m), as a function of the number of miles traveled, m.
C(m)=___________
Answer:
Step-by-step explanation:
Jane wants to measure the amount of precipitation in her backyard for the month of January. Which weather instrument should Jane use?
Answer:
rain gauges
Step-by-step explanation:
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
144
4⋅144
564
414
Answer:
144
Step-by-step explanation:
i just did the test
Put x = 4 + y in slope-intercept form.
Answer:
y=x-4
Step-by-step explanation:
I graphed this out and got the equation.
Katniss Everdeen found the absolute value of |25| to be -25.
Do you agree? Yes or No
Explain:
Answer:
No
Step-by-step explanation:
Absolute values will never be negative.
Since absolute values are simply the number's distance from zero, it can never be negative, since there are no negative distances.
In this case, | 25 | is equal to 25. This is because the distance from 0 to 25 is 25.
So, Katniss is wrong.
look at the picture
Need Answer ASAP Number Of Cakes Sugar Flour Vanilla LOOK AT THE PIC
I'm pretty sure this is the right answer..
Find the coefficient of the third term in the expansion of (2x+y)^5
a. 80
b. 40
c. 10
d. 2
Answer:80
Step-by-step explanation:
Did the question on illuminate
-2x + 3y = 54
What are the x and y intercepts
Answer:
x= -27 y=18
Step-by-step explanation:
plug in zero for x to find y and plug in zero for y to find x
Answer: The x-intercept is (-27,0)
The y intercept is (0,18)
Step-by-step explanation:
For the x- intercept, Substitute 0 for y and solve for x
-2x + 3(0) = 54
-2x + 0 = 54
x = 54/-2
x = -27
For the y -intercept, Substitute 0 for x and solve for y
-2(0) + 3y = 54
0 + 3y = 54
y = 54/3
y = 18
Can someone help I need the answer ASAP
Answer:
I belive B
because if his are more than hers then that means shers us 50 and his is 75
Answer:
b
Step-by-step explanation:
It is B because Paul has 25% more then janet
which relation is a function pls help will give brainliest
Answer:
D it is....................
What is the value of x in the figure below?
A. 55°
B. 22.5°
C. 45°
D. 57.5°
PLEASE HELP IM FAILING
A package that is heavier than 11 lb. and 8 oz. will have a label that says "heavy" on it. Gloria packed 6 flower pots to send to her customers. Each of the flower pots weighs 1 lb. and 12 oz. The packing material weighs 5 oz. Will her package be labeled as "heavy"?
Answer:
No, the package will not be labeled "heavy"
Step-by-step explanation:
1) if you multiply 1lb. and 12 oz. by the number of flower pots(I'll be using the variable P), then the expression will be (1lb.P) (12oz.P).
2) then after you get the answer for that, which is 6lb. 72oz. and after that you'll have to add the weight of the packaging, which is 5oz. which the answer is 6lb. 77oz.
3) after, you will then have to get the number of pounds from the ounces if there are more than 16, which there are, so after you get the answer out of that, which is 4 and then you would have 13oz. leftover.
4) you would then have to add your 4lb. to your 6 that you already have, which would be 10lb.
Final) so in the end, you would have 10lb. 13oz.
Find the slope of the line
Answer:
1/4
Step-by-step explanation:
It takes the line 4 horizontal unitz to get to the next vertical unit.
Answer:
C 1/4
Step-by-step explanation:
PLEASE HELP ILL MARK BRAINLIEST
Answer:
A, C, D, and E
Step-by-step explanation:
According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:
-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)
-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)
-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)
[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)
Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 12 1 2 12 1 2 hours, on Tuesday he practiced for 2 14 1 4 14 1 4 hours, and on Wednesday he practiced for 1 12 1 2 12 1 2 hours. How many hours does Cesar need to practice during the rest of the week in order to have his 10 total hours?
Answer: See explanation
Step-by-step explanation:
Your question isn't really clear. Let me help you rephrase it and solve.
Let's say Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 1/2 hours, on Tuesday he practiced for 2 1/4 hours, and on Wednesday he practiced for 1 1/2 hours.
The total hours that Cesar has used in practicing will be:
= 1 1/2 + 2 1/4 + 1 1/2
= 5 1/4
To get the number of hours that Cesar need to practice during the rest of the week in order to have his 10 total hours, we subtract 5 1/4 hours from 10 hours. This will be:
= 10 - 5 1/4
= 4 3/4 hours.
Cesar needs to practice for 4 3/4 hours more.
A line that passes through the points (−5, 7) (10, 1). Using the mx+b format
Answer:
y=2x-19
Step-by-step explanation:
I'm guessing you mean slope intercept form y=mx+b
If so, first you would have to find the slope of the line
To do that, use the formula y2-y1/x2-x1
Remember you can pick any coordinate pair for this
I will pick 1=y2 -5=y1 10=x2 and 7=x1
When I put that in the equation I get 1-(-5)/10-7
Overall I get 6/3, or 2
Now to find the y intercept, you plug in the slope and one of the coordinates(any is fine)
I will pick (10,1)
1=y and 10=x and 2=m
1=2(10)+b
this simplifies to 1=20+b
now subtract 20 from both sides and get -19 = b
Now you have your equation y=2x-19
i need help pls asap
Answer:
Y=114 X=54
Step-by-step explanation:
Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X
3 1/3 divided 1/2 =
Answer:
6 2/3
Hope this helps!
Step-by-step explanation:
Please mark brainliest if correct
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10*2}{3*1} = \frac{20}{3}[/tex]
[tex]\frac{20}{3} = 6\frac{2}{3}[/tex]
Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?
Answer:
The area of the sheet needed is 3m^2 approx.Step-by-step explanation:
Step one:
given
height h= 1m
diameter= 70cm= 0.7m
radius r= d/2= 0.7/2= 0.35m
The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.
The formula is
T.S.A.=2πrh+2πr^2
Required is the T.S.A
Step two:
substitute our given data we have
T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2
T.S.A.=2.199+0.769
T.S.A.=2.96m^2
T.S.A.=3m^2 approx.
PLEASE HELPP WITH THIS QUESTION
Solve : 24 = 6 - 6 = 2 + (
3 x 7)
Answer:
3.5
Step-by-step explanation:
24=0=2×3×2×7
24=6×14=0
24=84 =0
24÷84=3.5
Company A charges $28.50 plus $18 per room to clean carpet. Company B charges $16.50 plus $20 a room.
Answer:
Company B
Step-by-step explanation:
28.50 plus 18= 46.50
16.50 plus 20= 36.50
Devin has a furniture store. He sold a shoe rack recently for 3450. It cost him just to make the rack What is Devin's profit percent ?
Please answer this and please I need this I will give you brainiest answer please I need this answer correct ASAP
Answer:
Step-by-step explanation:
Based on the number of hours that are there it look like each hour that it goes 50 adds on
1. The time goes up one hour each time
2. The number of pages go up by 50
So if there are 4 hours then this would happen
1 2 3 4
50+50= 100+50= 150+50= 200
50 adds on as the hour goes up.
Can someone please help? I will give Brainliest.
Answer:
Ask your mom and she might tell you
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
PLZ ANSWER BOTH QUESTIONS
Answer:
1. $1.25
2. 0.05x + 0.25y
Step-by-step explanation:
nickles = 0.05
quarters = 0.25
0.05^10 = 0.50
3 x 0.25 = + 0.75
1.25
0.05x + 0.25y
