Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
Find the measure of angle m
Answer:
36
Step-by-step explanation:
Any triangle have 180 degrees in total.
So 60 + 84 + angle M = 180
144 + angle M = 180
180 - 144 = angle M
angle = 36
I want a way to solve such a problem
Answer: please calculate the answer.
Step-by-step explanation:\\ Bro use this formula (sum of all numbers of the question) \ no. of seen numbers.
Arithmetic mean = ( 24+124+243+...) \ 12
12. After 80 years of 5.8% interest compounded monthly, an account has $102,393.44. What was the
original deposit amount?
Answer:
12195508,42
Step-by-step explanation:
A(1-R) NA is the depositR is the % presentN is the time period (exponent)A(1-5.8%)80=102,393.44An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
What is meant by deposit?A deposit is money held at a bank. A deposit is a monetary transaction in which money is transferred to another party for safekeeping.A deposit is money placed in a bank account. Deposits are classified into two types: demand deposits and time deposits. Checking, savings, and money market accounts are all examples of demand deposit accounts. Certificates of deposit (CD) and individual retirement accounts are examples of time deposit accounts.Therefore,
Assume that each year has 52 weeks: then compounding occurs.
n = 52 × 80n
times and the rate for each compounding is
[tex]$i=\frac{5.8 \%}{52}=\frac{0.058}{52}$[/tex]
If the original deposit amount is
PV
then the future value
FV
is equal to
[tex]$$F V=P V \cdot(1+i)^n=P V \cdot\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}$$[/tex]
We know the future value (which is given as $ 102,393.44), so calculating the present value is simple:
[tex]P V=F \frac{V}{(1+i)^n}=\frac{\$ 102,393.44}{\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}}[/tex]
The simplest way to compute this is to use a calculator:
[tex]$P V \approx \$ 991.45 .$$[/tex]
We can simplify this expression with great precision just for fun. It is well known that
[tex]$\left(1+\frac{1}{n}\right)^n \rightarrow e$[/tex]
which easily implies that
[tex]$\left(1+\frac{a}{n}\right)^n \rightarrow e^a$[/tex]
Here,
[tex]$$\left(1+\frac{0.058}{52}\right)^{52 \cdot 80}=\left(\left(1+\frac{0.058}{52}\right)^{52}\right)^{80} \approx\left(e^{0.058}\right)^{80}=e^{0.058 .80}=e^{4.64}[/tex]
That is, [tex]P V \approx F V e^{-4.64}$.[/tex]
Hence, An account has $102,393.44 after 80 years of 5.8% compounded monthly interest. The initial deposit was around $991.45.
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Your classmate is telling you how they plan to become financially secure.
Which of the following factors can help him do so?
A saving money
B investing money
C both saving and investing money
D neither saving nor investing money
Answer:
savind and investing money
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $800 per week. How much did she earn last week if she sold $4,700 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Answer:
1164.25
Step-by-step explanation:
URGENT PLS HELP
John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18
a jar has 654 jelly beans emily says the jar has 710 jelly beans, Find the percent error of emily's estimate
Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07
Answer:
8.56%Step-by-step explanation:
Find the difference between the actual and estimate, this is the error:
710 - 654 = 56Find the percent error, which is the error over the actual:
56/654*100% = 8.56%Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
Harry is riding a train that goes 70 miles an
hour. How far will he travel is 3.5 hours?
Answer: 245 miles
Step-by-step explanation:
(70)(3.5)= 245
2 lines are not parallel, how many solutions are there
Answer:
Either one: the two line have a point in common, or infinite: they are the same line.
HURRY!
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)} write the set of ordered pairs representing ƒ -1.
Select one:
a. {(1, 2), (3, 2), (4, 3)}
b. {(2,1), (3, 2), (4, 3)}
c. {(2, 1), (2, 3), (3, 4)}
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1, which is the correct answer that would be an option (C).
What is an ordered pair?An ordered pair is made up of two components isolated by a comma and put inside parentheses. (x, y) indicates an ordered pair, where 'x' is the first component and 'y' is the second component in the ordered pair.
Given the function ƒ = {(1 , 2), (2 , 3), (3 , 4)}
According to option (A),
The set of ordered pairs is {(1, 2), (3, 2), (4, 3)}
This represents ƒ -3,
According to option (B),
The set of ordered pairs is {(2,1), (3, 2), (4, 3)}
This represents ƒ -2,
According to option (C),
The set of ordered pairs is {(2, 1), (2, 3), (3, 4)}
This represents ƒ -1,
Thus, the set of ordered pairs is {(2, 1), (2, 3), (3, 4)} which represents ƒ -1.
Hence, the correct answer would be option (C).
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you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much will each pay if they share in paying the total bill
Answer:
x+y=12.96, or 12.96=y=x then you can solve for x and then the other half of the total is the other amount
What is 25+25-100+25+25
Answer: 0
Step-by-step explanation: when you add 25+25 it is equal to 50. when you subtract 100 from 50 it gives you -50. when you add 25+25= 50 so you add that -50 and 50 and it gives you zero (im not very good at explaining hope it helped)
William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT
Answer:
4
Step-by-step explanation:
4 sets of strings will cost:
4×5=20
He will have $2 left over. Not enough to buy another set.
Or 5x<=22 DIVIDE BOTH SIDES BY 5
x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets
Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)
Please help I need the answer quick this assignment is almost due!
Answer:
x = -3
Step-by-step explanation:
The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.
2x + 9 = 7x + 24
Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.
2x - 7x + 9 = 7x - 7x + 24
-5x + 9 = 24
Then, we'll remove 9 from both sides.
-5x + 9 - 9 = 24 - 9
-5x = 15
Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.
-5x/-5 = 15/-5
x = -3
And there it is... the value of x. Hopefully that's helpful! :)
its suppolsy the hardest question in math
Answer:
E
Step-by-step explanation:
[tex]\sqrt{\dfrac{64}{49}} = \dfrac{\sqrt{64}}{\sqrt{49}} = \dfrac 87[/tex]
Answer:
E
Step-by-step explanation:
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
solve and check the equation
2(4-5x) = 2(3x+2)
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=9
Step-by-step explanation:
since the triangles are similar, the sides are all in proportion. This means that:
[tex] \frac{uw}{eg} = \frac{uv}{fg} [/tex]
Now we can just sub in the sides:
[tex] \frac{91}{13} = \frac{56}{x - 1} [/tex]
simplify the first fraction
[tex] \frac{7}{1} = \frac{56}{x - 1} [/tex]
Now we can cross multiply
56=7(x-1)
56=7x-7
63=7x
Therefore:
×=9
Factor the following expression. Type x^2 for 22 as needed. If it is not factorable, type unfactorable.
22-8x+16
Answer:
63
Step-by-step explanation:
you divide and add then subtract
50 POINTS FOR EACH PERSON PLSSSSS HELP!!!!!
∫[tex]x^{\frac{3}{2} }[/tex]㏑(x) dx
Answer:
Look at images below ^^
Step-by-step explanation:
I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.
Evaluate the coefficient of x^5 and x^4 in the binomial expansion of (x/3-3)^7. Hence find the coefficient of x^5 in (x/3-3)^7(x-6)
Recall the binomial theorem:
[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.
Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.
[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]
[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]
Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products
[tex]\dfrac79 x^5 \cdot (-6)[/tex]
and
[tex]-\dfrac{35}3 x^4 \cdot x[/tex]
so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x - 6) has a coefficient of
[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]
Alistar is going to build fence around the outside of his garden
a) draw an accurate scale drawing of the garden using a ruler and compasses.use scale 1 cm to 2m
b) how long the fence be?
Answer:
32+[tex]\sqrt{200}[/tex]
Step-by-step explanation:
First - one side is 10m and other one is 16, so adding this 26m
Second-hypotenuse is sqrt of 10*10+10*10.
Third- Remainder is 16-10 because that is isosceles triangular.
What functions have a range of {y £ R | -
Answer:
the second and the fourth have a range of real no
Which of the following quadrants of the standard (x,y) coordinate plane contain points on the graph of the equation 6x – 3y = –9 ?
A. l and lll only
B. l, ll and lll only
C. l, ll and IV only
D. I, II and IV only
E. II, IIIand IV
Using linear function concepts, it is found that the correct option is:
B. l, ll and lll only
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.If the slope is positive.
The function goes through quadrants I and III.If the intercept is positive, it also goes through quadrant II.If the intercept is negative, it also goes through quadrant IV.If the slope is negative:
The function goes through quadrants II and IV.If the intercept is positive, it also goes through quadrant I.If the intercept is negative, it also goes through quadrant III.In this problem, the equation is:
[tex]6x - 3y = - 9[/tex]
Placing it into the standard format:
[tex]3y = 6x + 9[/tex]
[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]
[tex]y = 2x + 3[/tex]
Both slope and intercept are positive, hence, quadrants I, II and III, option B.
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Measure the paper clip to the nearest 1/8 inch.
A. 1 2/8 inches
B. 1 1/2 inches
C. 1 4/8 inches
D. 1 3/8 inches
Answer:
1 3/8 D
Step-by-step explanation:
The first and most obvious part of the answer is that the paper clip is at least 1 inch long. The question is how much longer?
It is between 1/4 of an inch and 1/2 of an inch. In fact it is exactly half way between them.
So that resembles an average.
(1/4 + 1/2)/2 = (1/4 + 2/4) / 2 = (3/4)/2
[tex]\frac{\frac{3}{4} }{2} = \frac{\frac{3}{4} }{\frac{2}{1} }[/tex]
Now the trick is to invert the denominator (make it 1/2) and multiply
3/4 * 1/2 = 3/8
Some one help me? ill give 50 points
Answer:
v=[tex]\frac{(w+v)/t}{2}[/tex]
Step-by-step explanation:
just inverse operations and you will always get your answer :)
A plane traveled 960 miles each way to Jakarta and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answer:
Wind speed = 40 km/hr
Speed of the plane in still air = 280km/hr
Step-by-step explanation:
Formula to use
Distance = Rate multiplied by Time
D = R × T
Speed of the plane in still air = a
Speed of the wind = b
Plane with the wind (tailwind) is a + b where the time = 3hours
Plane against the wind is a - b, where the time = 4hours
This would give us 2 equations
3 × (a+ b) = 960
3a + 3b = 960 ...... Equation 1
4 × (a- b) = 960
4a - 4b = 960 ........ Equation 2
Solve this like you would with system of equations:
We solve the equation using elimination method.
Mulitply equation 1 by 4 and equation 2 by -3
4 × (3a + 3b = 960)
12a + 12b = 3840 ..... Equation 4
-3 × (4a- 4b = 960)
-12a + 12b= -2880 ........ Equation 5
Therefore we have
12a + 12b = 3840 ..... Equation 4
-12a + 12b= -2880 ........ Equation 5
24b = 960
b = 960÷ 24
b = 40
Wind Speed = 40km/hr
To find the speed of air, we use equation 2
4a - 4b = 960 ........ Equation 2
Substituting 40 which is wind of speed for b in equation 2 we would have
4a - 4(40) = 960
4a - 160 = 960
4a = 960 + 160
4a = 1120
a = 1120 ÷ 4
a = 280
The speed of the small plane in still air is 280 km/hr
the ordered pair (2, - 3) has a solution to which of the following inequalities?