Answer:
12:30
Step-by-step explanation:
12:30 is the correct answer
You can divide 30 and 5 to get 6, and multiply the 2 by 6 so it'll be equal.
Hope it helped.
PLEASE ANSWERR I CANT GET IT RIGHT
2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?
Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
P(2,3) thats the answer ;)
Write what the equation will look like on the next line...
after you combine like terms.
3x + 5 + 7 = 9
Answer:
3x+12=9
Step-by-step explanation:
5 and 7 are like terms so you add them.
) Write an integer that represents the following scenario: Jenna deposited (put in) forty dollars into her savings account..
Answer:
hi blair. we go to school together.
Step-by-step explanation:
Allyson has a collection of 26 mugs. When packing to move, she put the same number of mugs in each of the first 4 boxes and 2 mugs in the last box. What is the number of mugs in each of the first four boxes?
Answer:
6 mugs
Step-by-step explanation:
6*4=24
add the remainder 2 to get 26,
since its just asking for the 4 boxes the answer is 6
Which problem could the bar diagram represent?
This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Chad paid $250 for a new tent. He also paid $182 for four camp chairs. What is the total amount Chad spent on camping gear?
Tom's class collected 250 pounds of paper during a recycling drive. It also collected 182 pounds of aluminum. How many pounds of recycled materials did Tom's class collect altogether?
Morgan has $250. She received $182 for her birthday. What is the total amount of money Morgan has?
Kellie is driving 250 miles to visit her cousin. She has driven 182 miles so far. How many more miles does Kellie have to drive?
Answer:
I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Jody and her friends are playing a game in which the person who scores closest to zero points after three rounds wins! Jody's friend Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round. Jody scored 10 points in the first round and lost 4 points in the second round. What will Jody need to score in the third round to win the game? (3 points)
Answer:
Jody needs to lose the third round by 6 points to win the game.
Step-by-step explanation:
The rule of the game is the person who scores closest to zero points after three rounds win.
Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.
So, total points for Robyn = 5-8+4=1
So, the magnitude of the closeness of Robyn's score from zero
=|1-0|=1
Jody scored 10 points in the first round and lost 4 points in the second round.
Let Jody score x point in the third round.
Total points for Jody= 10-4+x=6+x
So, the magnitude of the closeness of Jody's score from zero
=|6+x-0|=|6+x|
The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e
|6+x|<1
Case 1: If [tex]x\geq -6[/tex],
6+x<1
[tex]\Rightarrow x<-5[/tex], which is not possible for this case.
Case 2: If [tex]x\leq -6[/tex],
-(6+x)<1
[tex]\Rightarrow x+6>1[/tex]
[tex]\Rightarrow x>-5[/tex]
For this case [tex]x= -6[/tex] is the only possibility.
So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
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HELP !!
To find the measure of zA in triangle ABC, use the ____. To find the length of the side HI in triangle HIG, use the ____.
First blank:
1. Pythagorean theorem
2. Law of sines
3. Law of cosines
Second blank:
1.Pythagorean theorem
2. Law of sines
3. Law of cosines
Answer:
blank A->(Law of cosines)
blank B->(Pythagorean theorem/theory)
Step-by-step explanation:
Reason to get the correct measurement's of angles in a figure you must apply Cosines or Law of Cosines(same thing) which simply means angle edges
and to get the measurements of the angles length use the Pythagorean theorem which is (a²+b²=c²)
Hope I was helpful in any way thanks and sorryAnswer:
First drop down menu answer is Option 3
Second drop down menu is Option 1
Step-by-step explanation:
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
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Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bonds of similar risk is 8 percent. The bonds are currently callable at $1,150. The theoretical value of the bonds will be equal to the present value of the expected cash flow from the bonds. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answer:
The correct answer will be "1197.93".
Step-by-step explanation:
According to the question:
Semi annual coupon:
= [tex]10 \ percent\times \frac{1000}{2}[/tex]
= [tex]50[/tex]
Number of periods:
= [tex]20\times 2[/tex]
= [tex]40[/tex]
Semi annual YTM:
= [tex]\frac{8}{2} \ percent[/tex]
= [tex]4 \ percent[/tex]
Now,
The market value of bond will be:
= PV of Coupons + PV of Par Value
On putting the values, we get
= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]
= [tex]1197.93[/tex]
Note: percent = %
Elimination
- 14x - 18 y = 18
7x + 9y = -9
Answer:
Your answer is: (x , -1 -7x/9 )
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Step-by-step explanation:
Hope this helped : )
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description? please help me fast
Answer:
i think its c
Step-by-step explanation:
Which one is the right answer
Answer:
90 degrees
Step-by-step explanation:
if you add a line from point B to point D, you will make a square and all sides are equal to 90 degrees.
use angle 3 and 4 which equal 90. divide that by 2 and each side is equal to 45. since we know that all sides are equal, angle 3 is equal to angle 2. so from here you add 45 + 45 and get 90 degrees.
HOPE THIS HELPS. can i have brainliest please?
which is bigger. 34 1/2 or 34.5
Answer: They are equal.
Step-by-step explanation:
34 1/2 equals 34.5 in decimal form
34.5 equals 34 1/2 in fractional form
(.5 equals 1/2)
Anika wants to determine the maximum number of tulip bulbs (t) she can purchase if each bulb costs $1.50. She will also need to purchase separate pots for each bulb at $1.25 each and a bag of potting soil for $10.00. Set up an inequality to determine how many tulip bulbs Anika can purchase without spending more than $20.00, and solve it.
20 (> greater than or equal to sign) 1.50t + 1.25t + 10
5/8x + 1/3x = 69 x=_
Answer:
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Step-by-step explanation:
4b+14=22
solve the equation
Answer:
B= 2
Step-by-step explanation:
4b+14=22
-14 -14
4b=8
/4 /4
b=2
The value of b in the expression is,
b = 2
We have to given that,
An expression to simplify,
4b + 14 = 22
Now, We can simplify it as,
4b + 14 = 22
Subtract 14 both side,
4b + 14 - 14 = 22 - 14
4b = 8
Divide by 4;
b = 8/4
b = 2
Therefore, The solution of expression is,
b = 2
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solution
2(x + 1) = 2x + 2.
Answer:
Infinity
Step-by-step explanation:
It is equal to nothing.
2x+2=2x+2
-2x -2x
2=0x+2
-2 -2
0=0
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Distribute the 2 in 2 (x+1)
2 ⋅ x = 2 x
2 ⋅ 1 = 2
Combine:
2 x + 2
Equation is now:
2 x + 2 = 2 x + 2
Subtract 2 from both sides of the equation:
2 x = 2 x
Divide both sides by 2:
x=x
Both sides of the equation are the same:
x = x
Any real number or:
( − ∞ , ∞ )
Quadrilateral WXYZ with vertices W(-6, 7),
X(-3, 6), Y(-1,3), and Z(-7,1): 180°
Get wxyz
Answer:
W (6,-7) X(3,-6) Y (1,-3) Z(7,-1)
Step-by-step explanation:
This is the answer because to do this you have to know that the 180 degress (x,y) changes to (-x,-y) The negative sign means opposite so, if it is Z(-7,1) it changes to (7,-1).
Hope this helped!
The art room at a school is made up of three sections: a pottery section, a painting section, and a sculpture section. Complete questions 6–7 below. LOADING... Click the icon to view the diagram of the art room. 6. Artwork will be on display for an art show in all sections of the art room except the sculpture section. How much space is available for the art show?
Answer:
Step-by-step explanation:
huh huh huh huh whatttttttttttttt
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation:
What's 30% of 40 and how much are you saving
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
The quotient of (x5 - 3x3 - 3x2 - 10x + 15) and a polynomial is (x2 - 5). What is the polynomial?
Answer:
x^3 + 2x - 3
Just divide x^5-3x^3-3x^2-10x+15 by the quotient and you get the polynomial searched.
Step-by-step explanation:
hope it helps , i am in 6th grade and i have got this answer from an elder student.
An object travels 8 miles in 20 minutes at a constant speed. What is the
object’s speed in miles per hour?
Answer:
The answer is 0.4mph
Step-by-step explanation:
To find the speed of an object, you do distance ÷ time.
So you do 8 ÷ 20 which is 0.4.
So the object travels 0.4mph
graph y= -x -6 please
Answer:
Correct
Step-by-step explanation:
Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.
the temperatue dropped 4C every hour for 8 hours what was the total number of degrees the temperature changed in 8 hours