Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
Can someone please explain to me the answer to this problem????
5(a +3)= 40
Answer:
5
Step-by-step explanation:
5(a+3)=40
5a+15=40
5a+15-15=40-15
5a=25
a=5
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/62
mile per hour. What is the speed of the car? What error might billy have made?
Answer: For time t ≥ 0 hours, let r(t) = 120 1 − e−10t2 represent the speed, in kilometers per hour, at which a ()
car travels along a straight road. The number of liters of gasoline used by the car to travel x kilometers is −x 2
modeled by g(x) = 0.05x 1 − e . ()
(a) How many kilometers does the car travel during the first 2 hours?
(b) Find the rate of change with respect to time of the number of liters of gasoline used by the car when
t = 2 hours. Indicate units of measure.
(c) How many liters of gasoline have been used by the car when it reaches a speed of 80 kilometers per
(a)
(b)
hour?
∫ 2 r (t ) dt = 206.370 kilometers 0
dg dg dx dx dt=dx⋅dt; dt=r(t)
2 : {1 : integral 1 : answer
3:{2:useschainrule
1 : answer with units
dg dt
t=2
dg
= dx ⋅r(2)
x=206.370
= (0.050)(120) = 6 liters hour
(c)
Let T be the time at which the car’s speed reaches 80 kilometers per hour.
Then, r(T ) = 80 or T = 0.331453 hours. At time T, the car has gone
x(T ) = ∫ T r (t ) dt = 10.794097 kilometers 0
and has consumed g(x(T )) = 0.537 liters of gasoline.
what is a relation?????????????????
Answer:
c.
Step-by-step explanation:
Find the
measure of X given two triangles:
Answer:
The measure of angle x is 68°
Step-by-step explanation:
The isosceles triangle has two sides equal, the angle between these two sides is called the vertex angle, the other two angles are called the base angles and they are equal in measures
In the given figure
∵ An isosceles Δ has a vertex angle of measure 68°
∴ The other two angles are equal in measure ⇒ base angles
→ The sum of the measures of the interior angles of a triangle is 180°
∴ The sum of the measures of the base angles = 180° - 68°
∴ The sum of the measures of the base angles = 112°
→ Divide their sum by 2 to find the measure of each angle
∵ The measure of each base angle = 112° ÷ 2
∴ The measure of each base angle = 56°
∵ There are two intersected segments
∴ There is a pair of vertically opposite angles
∵ The other isosceles Δ has a vertex angle of measure x
∵ A base angle of the 1st Δ and a base angle of the 2nd Δ are vertically
opposite angles
∴ They are equal in measure
∴ The measure of the base angle of the 2nd Δ = 56°
∴ The two base angles are equal in measure
∴ The measure of each base angle is 56°
→ The sum of the measures of the interior angles of a triangle is 180°
∵ 56° + 56° + x = 180°
∴ 112° + x = 180°
→ Subtract 112 from both sides
∴ x = 68
∴ The measure of angle x is 68°
Hi! I need the answer for this problem asap! Thank you (:
Answer:
-14
Step-by-step explanation:
Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, round your answer to the nearest tenth.
Answer:
# of sides [tex]{}[/tex] Interior One Interior Angle Exterior One
[tex]{}[/tex] Angle Sum Angle Sum Exterior Angle
14 [tex]{}[/tex] 2,160° 154.3° 360° 25.714°
24 [tex]{}[/tex] 3,960° 165° 360° 15°
8 [tex]{}[/tex] 1,080 135° 360° 45°
30 [tex]{}[/tex] 5,040 168° 360° 12°
12 [tex]{}[/tex] 1,800 150° 360° 30°
Step-by-step explanation:
Please find attached the table of values calculated with Microsoft Excel
From the given table, we have the formula for the following parameters;
Number of sides = n
Interior Angle Sum = 180×(n - 2)
Measure of ONE Interior = 180×(n - 2)/n
Angle (regular polygon)
Exterior Angle Sum = 360°
Measure of ONE Exterior = 360°/n
Angle (regular polygon)
1) When n = 14, we have;
The interior Angle Sum = 180×(14 - 2) = 2,160°
The measure of one Interior angle (regular polygon) ; 180×(14 - 2)/14 ≈ 154.3°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°
2) When n = 24, we have;
The interior Angle Sum = 180×(24 - 2) = 3,960°
The measure of one interior angle (regular polygon); 180×(24 - 2)/24 = 165°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/24 = 15°
3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;
n = 1,080°/180° + 2 = 8
n = 8
The measure of one interior angle (regular polygon); 180×(8 - 2)/8 = 135°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/8 = 45°
4) When the interior angle sum = 180×(n - 2) = 5,040°
n = 5,040°/180° + 2 = 30
n = 30
The measure of one interior angle (regular polygon); 180×(30 - 2)/30 = 168°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/30 = 12°
5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;
180°·n - 2×180° - 150°·n = 0
30°·n = 360°
n = 360°/30° = 12
n = 12
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/12 = 30°
Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?
Answer:
8.2
Step-by-step explanation:
509.056/62.08
Help it's timed! I give Brainliest
Answer:
2nd option
Step-by-step explanation:
Hallar el valor de x
Answer:
whats the question??
Step-by-step explanation:
What expression is equivalent to (2a - 7) + 5(3 - a)
Answer:
Step-by-step explanation:
2a-7+15-5a
2a-5a-7+15
-3a+8
The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given an expression as;
(2a - 7) + 5(3 - a)
Therefore, solving it further;
2a-7+15-5a
Combine the like terms;
2a-5a-7+15
Then we get;
-3a+8
Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
what 10x10x10x10x10x10x10000=
Answer:
10^6*10000=10,000,000,000
Step-by-step explanation:
Please help me!! Thanks!
Answer: $30 and 1 cent more
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
I hope this helps.
You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____
Answer:
Step-by-step explanation:
7.49+6.21= 13.70
What is the solution to the inequality?
1/4+x <5/6
A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12
Answer:
A x<7/12 hope this helps
pls help thx and merry christmas and or happy Hanukkah
Answer:
3 3/4 yards of ribbon my dudeeee
Answer:
oof
Step-by-step explanation:
Need the answer asap!
Answer:
--> (-7)+3 = -4
--> (-5) +1=-4
-->(-3)+(-1)=-4
Answer:
(x+3)x(x-2)
Step-by-step explanation:
What is 5/8 divided by 1/4
I’m timed
Answer:
5/2
Step-by-step explanation:
(5/8) / (1/4) = 5/8 times 4
= 20/8 = 10/4 = 5/2
Answer:
5/2
Step-by-step explanation:
[tex]\frac{5}{8} *\frac{4}{1} =\frac{5}{2}[/tex] because you have to multiply by it's inverse
The graph below represents which system of inequalities? (2 points)
Oa
y> 2x-3
y> x-3
Ob
y< 2x- 2
y<-x+3
Oc
ys2x- 2
y>X+3
Od
None of the above
Answer: It is the None of them. If you see, one of the lines is Dotted, and one is solid. So, the Solid has either has ≤ or ≥ in it's equation. If the second option, and in the second option, the second equation has one of those signs, it would be correct, but it doesn't, so it's none of the above. I hope this didn't confuse you, and Happy Holidays! :)
find the value for x!
Answer:
x=20
Step-by-step explanation:
3x+15=4x-5
20=x
what is 3/4 divided by 1/2
*welp* Can i 'ave a bit of help, please?
Answer:
3^2
Step-by-step explanation:
You add the exponents when you multiply
Then you subtract them since you divided them.
Answer:
9
Step-by-step explanation:
3^8=6561
3^4=81
3^2=9
3^8=6561
so... 6561*81/9*6561 equals nine so your answer is 9.
Help Please!Solve For Z.
Answer:
Step-by-step explanation:
z = whole root (x^2 + 9)
Find the sum
14.3 + 7.36 = ?
Answer:
21.66
Step-by-step explanation:
help I suck at math lol
Answer:
14/8 = 1 3/4
48/9 = 5 1/3
Step-by-step explanation:
14/8 = 1 6/8
6/8 = 3/4
14/8 = 1 3/4
48/9 = 5 3/9
3/9 = 1/3
48/9 = 5 1/3
Hadley runs several times around the
track. One lap around the track is
equal to 0.15 miles. She then runs 0.4
miles home for a grand total of 1.75
miles. Determine the number of laps
Hadley ran around the track.
what does x equal and what are the angle measures?? help Asap
all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2
y varies inversely with x. If x = 5 and y= 1 what is x if y = 0.5
Type your answer..
X=2.5
Step-by-step explanation:
0.5=1/2
5/2 = 2.5
HELP ME PLS
The line of best fit is shown on the scatter plot below. What is the equation of the line of best fit?
Answer:
D
Step-by-step explanation:
Notice how it goes down one unit and right one unit. Thats how you get the slope (-x) and then then the +9 is the intercept of the y-axis which you can see is where the graph is starting here.
Please help its 99 points! I just need to write as an equation to represent a function PLEASE!.
Number of Miles |2|, |4|, |6|, |8|
Total Cost: .60, 1.20, 1.80, 2.50
1. Write an equation to represent the function.
Answer:
Step-by-step explanation:
i think the last number 2.50 is wrong, maybe is 2.4
total cost= 0.30 x number of miles
for the first 0.30*2=0.60
second 0.30*4=1.20
and so on
Answer:
.60 ÷ 2 = 0.3
1.20 ÷ 4 = 0.3
1.80 ÷ 6 = 0.3
2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3
So are equation would be y ÷ x = 0.3
8÷(3-1) _2 ×5-2
plssss help
Answer:
8
Step-by-step explanation:
You always start with the equasions in parenthesis. 3-1 is 2 and 8 divided by 2 is 4. Then you can move on to the next part of the eqasion. You start by subtracting 2 from 5 and then multiplying that by 2.then you add up the answers and you gat 8.