Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
2. Now that you have the height of the cone, how can you solve for the
slant height, s?
Answer:
s^2 = r^2 + h^2.
Step-by-step explanation:
You need to know the radius of the base as well.
Then you use the Pythagoras theorem:
s^2 = r^2 + h^2 where r = radius and h = the height.
Helpp pls I tired to solve it out but I can’t get it
Witch fraction is not in simplest form 5/15 or 5/12
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach the coach buys. The situation is represented by the function rule a=16b.
Complete the following table of values.
Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.
Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
Read more about Unit circle at; https://brainly.com/question/4637991
Nothing but slope.................
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
please help with this question!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a ) Two matrices cannot be multiplied.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
b )
The answer is | 20 - 4 - 12 |
| 8 2 19 - |
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
Guys plz help Answer this QUESTION!!!
Answer:
I beliEve it is D
Step-by-step explanation:
1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.
2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.
What would the equation be if my coordinates were, (-4,3) (2,6) ?
Answer:
y=1/2x+4
Step-by-step explanation:
change of x=2-(-4)=6
change of y=6-3=3
slope=3/6 or 1/2
y intercept=5
y=1/2x+5
8% of $40 is $
plzzz help
Answer:
$3.2
Step-by-step explanation:
so there's a strategy to do this its very helpful!
100%-$40
8%-x
~cross multiply~
100x=320
÷100 ÷100
________________
x=$3.2
Hope this helps :D
If 20 apples cost $7, what is the unit cost?
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.
It took everly 55 minutes to run a 10-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many mintues did it take everly to run 1 mile during the race?
Answer:
8.9 minutes
Step-by-step explanation:
Converting Everly Kilometer race to miles
1 km = 0.621 miles
10 km =
10 × 0.621 miles
= 6.21 miles
Hence,
6.21 miles = 55 minutes
1 mile = x minutes
Cross Multiply
6.21 × x = 55 × 1
x = 55 minutes/6.21
x = 8.8566827697 minutes
Approximately = 8.9 minutes
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.
Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
The equation y = 13x represents the rate, in gallons per minute, that Tank A at an aquarium fills with water. The table represents the rate that Tank B fills with water. Determine which tank fills faster.
Answer:
Tank A fills up faster.
Step-by-step explanation:
Tank A is y = 13x
Tank B is y = 11x
Plz mark as Brainliest!
(Find common denominator first.)
3/2 + b=7/4
Answer:
b = 1/4
Step-by-step explanation:
Take the given fractions : 3/2 and 7/4 and find a common denominator.We will use 4 as a common denominator.
In order for the denominator of 3/2 to get to 4, you need to multiply by 2.3 × 2 = 6 2 × 2 = 4
New fraction: 6/4Now we have the equation 6/4 + b = 7/4
7/4 - 6/4 = 1/4
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
I need help ill giv3 brainlyness
Answer:
i think the answer if (-9,-3)
Step-by-step explanation:
Tell me if i got it right so i can see where i made a mistake IF i got it wrong
Given m|n, find the value of x.
(8x+6) (9x-30)
Step-by-step explanation:
(8x+6) (9x-30)
=72x²-240x+54x-180
=72x²-186-180
Answer:
(8x+6) (9x-30)
=72x²-240x+54x-180
=72x²-186-180
Step-by-step explanation:
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
Can someone help explain how I get the answer for this? S=R-rR solve for R
Answer:
s/(1-r)=R
Step-by-step explanation:
S=R-rR
S=R(1-r)
s/(1-r)=R
8. If b(x) = -2(x-50), what is the value of
b(20)? Request
What is the length of BC?
O 11
O 23
O 40
O 60
Plz help
Answer:
BC = 40
Step-by-step explanation:
Answer:
X=23
BC = 40
Step-by-step explanation:
x²-6x
Whats the answer?
Answer: x(x−6)
Step-by-step explanation:
Answer:
(x+0)(x-6) OR x(x-6)
Step-by-step explanation:
AC 1*0...AC=0
B -6...B=-6
AC 0*-6
B 0-6
(x+0)(x-6) OR x(x-6)
A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.
Answer:
Point-slope form: y + 5 = 13/-4 (x-1)
Slope-intercept form:
Step-by-step explanation:
Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).
Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.
Hope that helped.
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!