Answer:
$120/x
Step-by-step explanation:
Answer:
120(1.1)^x
Step-by-step explanation:
it is a 10% increase, and think of it like this, what is after the decimal is the percentage increase, if there is a 1 the percentage increases, if it is a 0 then it decreases
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.
I really don’t understand this question and I don’t know what to do
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.
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:
( − ∞ , ∞ )
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
P(2,3) thats the answer ;)
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
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.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
the temperatue dropped 4C every hour for 8 hours what was the total number of degrees the temperature changed in 8 hours
Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patients, what is the probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places
Answer:
The probability [tex]P(\^ p > 0.80) = 0.99957[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is [tex]\mu_{\= x } = p = 0.90[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]
=> [tex]\sigma = 0.03[/tex]
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
[tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]
Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]
So
[tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]
From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]
So
[tex]P(\^ p > 0.80) = 0.99957[/tex]
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
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
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 = %
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.
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
) 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:
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!
Find the tip amount of a $30 bill with a 20% tip
Answer:
$6
Step-by-step explanation:
Ok, first thing is first, we need to find what 20% of 30 is. We do that by setting 20% in decimal form and multiplying that by 30.
So first,
0.20 * 30
We cross out the zero in 30 and move the decimal point one spot to the right in 0.20. So now we have:
= 2.0 * 3
Which really is,
= 2 * 3
Which equals,
6
Or,
$6
Yes! We got our answer! Nice work!
(The total bill including the tip would be $36 in case you needed to know)
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:
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation:
5/8x + 1/3x = 69 x=_
Answer:
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Step-by-step explanation:
8.5x -2(2x +8) = 11
what is the answer
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.
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
solve for X: 2(x + 5) + 3(x – 2) = 29
please explain too! will mark brainliest
Answer:
5
Step-by-step explanation:
2x+10+3x-6=29
5x+4=29
5x=25
x=5
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
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:
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
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Find the derivative of y with respect to the appropriate variable
y=cos^-1(x^2)
Answer:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
like if this was helpful
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?
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