Answer:
64/7 = 9 1/7
70/6 = 11 2/3
SOLViNg Equations
You are an electrician for the city where you live. You get a
call about a parking lot at baseball field where the lamp posts
keep shutting off, due to the circuit breaker. A circuit
breaker is a switch that automatically stops the flow of
electricity due to a current being too strong or some other
dangerous situation. You've been called in to figure out why
the circuit is breaking
8
One of the most common formulas dealing with electricity is
called Watt's Law. This algebraic equation states that "pi
(power measured in watts) is equal to "V" (the voltage
measured in volts ) times "T" (the current measured in amps).
P= VI
Here is what you know about the baseball field parking lot situation.
There are 9 lamp posts connected to this circuit.
Each lamp post has a 400 watt lamp installed.
The circuit is 120-volt and 20-amp.
Here is what you don't know, but can figure out:
How much power can
the circuit handle?
(Use Wate's Law)
How many watts does 9
lampposts require?
How many lampposts
could this circuit actually
handle?
Answer: 2400
Step-by-step explanation:
120*20
The power consumed by circuit is 2400 watt
What is Power?The quantity of energy transferred or transformed per unit of time is known as power. The watt, or one joule per second, is the unit of power in the International System of Units.
Electrical power is the product of voltage and current. P = V X I .
Given:
Potential Difference= 120 vatt
Current = 20 Ampere
Now, using
Power = V x I
Power= 120 x 20
Power = 2400 Watt
Hence, the power consumed by circuit is 2400 watt
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For the next two questions, use the following coordinates to answer: (1, 3), (5, 2), (1, 5), (2, 3).
Answer:
Use the coordinate plane below to answer the following questions. a. Use a straightedge to construct a line that goes.
Step-by-step explanation:
AB is parallel to CD. CD is rotated 180° Which statement describes the relationship between ('D' and the transformed AB? How can
you prove it?
Answer:
Answer :- Statement (B) ,C'D' ll AB
Given AB is parallel to CD. CD rotated.
Consider a transversal line l intersecting AB and CD at angle x.
therefore By slope formula,
slope of AB and CD = m =tanx
Now after rotation of 180 CD become C'D'
therefore, slope of C'D' = =tanx=m
Hence C'D' ll AB.
The bar graph shows the average temperatures a town in 1950 and in 2000.
Answer:
16 students
Step-by-step explanation:
Answer:
20 students
Step-by-step explanation:
make r the subject of the formula t=r/r-w
Answer:
[tex] r = \frac{tw}{(t - 1)} [/tex]
Step-by-step explanation:
[tex]t = \frac{r}{(r - w)} \\ t(r - w) = r \\ tr - tw = r \\ tr - r = tw \\ r(t - 1) = tw \\ \frac{r(t - 1)}{(t - 1)} = \frac{tw}{(t - 1)} \\ r = \frac{tw}{(t - 1)} [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Question: -3x+2c=-3 for x
Find the value of x.
Answer:
135
Step-by-step explanation:
720 degrees in a 6 sided shape. already have 2 right angles so its 720- 180 = 540
540÷4 is 135
Can someone help, I got the 1 part but I dunno what this other part is..
4c-5=-6 what is rye value of c ????? and 5e+2=9 what is the value of e??
Answer:
c = -1/4
e = 1 2/5
Step-by-step explanation:
4c - 5 = -6
add 5 to both sides
4c = -1
divide each side by 4
c = -1/4
5e + 2 = 9
subtract 2 from both sides
5e = 7
divide both sides by 5
e = 1 2/5
-Chetan K
Answer:
c = -1/4
e = 7/5
Step-by-step explanation:
1. 4c - 5 = -6, 4c = -1, c = -1/4
2. 5e + 2 = 9, 5e = 7, e = 7/5
Brian invests £8200 into his bank account.
He receives 6.0% per year simple interest.
How much will Brian have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£9184
Step-by-step explanation:
Interest = PRT/100
P = Price
R = Rate
T = time
First Let's find the interest for 2 years
[tex]interest = \frac{8200 \times 6 \times 2}{100} \\ = 984[/tex]
So, the interest is £984
Now let's find the full amount he received after two years ,
[tex]8200 + 984 = 9184[/tex]
Total Amount = £9184
Hope this helps you
Let me know if you have any other questions :-):-)
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answer:
4/3 lemons
Step-by-step explanation:
For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.
The required rate of lemon per cup of lemonade is 1.34 lemons per cup.
Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.
The rate of change is defined as the change in value with the rest of the time is called the rate of change.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34
Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.
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f(x)=−x+2, find f(0)
Answer:
[tex]find \: f(0) \\ \\ f(x) = - x + 2 \\ f(0) = - (0) + 2 \\ f(0) = - 0 + 2 \\ f(0) = 2[/tex]
the outside temperature decreases by 7 in 3.5 hours how much did the temperature change each hour
Answer:
24.5
Step-by-step explanation:
24.5 is the temperature change each hour
21. Ronit is buying storage boxes for her CDs. She has
456 CDs. Each box holds 36 CDs. How many boxes
will she need?
HELP ASAP
Answer:
Step-by-step explanation:
Bbdbbdbs
Find a polynomial function of least degree having only real coefficients, a leading of 1, and zeros of 6 and 3 + i.
how many ounces are in 2.5 pounds?
40 , 32, 4.4, 6.4 ?
Answer:
40 ounces
Step-by-step explanation:
I need help with these two problems.
Write in slope intercept form.
Through (2,2) and parallel to y=x+4.
Through (3,4) and perpend to y=-2x-4
Answer:
the equation is - [tex]y=x[/tex]
Explanation:
Given -
[tex]y=x+4[/tex]
We have to find a line passing through the point [tex](2,2)[/tex] nd parallel to the given line.
Find the slope of the given line.
It is the coefficeint of [tex]x[/tex]
m₁ = 1
The two lines are parallel. Hence
m₂=m₁=1 Where m₂is the slope of the second line.
You have slope and the points [tex](2,2)[/tex]
Find the Y intercept
[tex]y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0[/tex]
Y-Intercept [tex]C=0[/tex] and slope m₂=1
Fix the equation
[tex]y=x[/tex]
"Write an equivalent expression by distributing the "-−" sign outside the parentheses:"
"-2.7u-(3v+8)"
i have no idea how to do any of this and the answer made no sense cause it didnt combine like terms
Which of these numbers is prime? Choose 1 answer: 3 30 63 77 E 91
Answer:
3
Step-by-step explanation:
3 is the only number here with factors of itself (3) and 1
Answer:
3
Step-by-step explanation:
1 y = -x + 2 4 please help solve
The 1/4x is the slope and +2 is (2,0).
Helpp me plsss!!!!!!!!!!!!!
17 + (-3x)
x= -12
evaluate the expression
7+(-3x)
7+(-36)
-29
I hope this helps!
HELP PLEASE THIS IS DUE IN 1 HOUR
Answer:
z=56
Step-by-step explanation:
trust me
z=56 pay attention in school
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $78. A season ski pass costs $450. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? The skier would have to go skiing ______
days. (Type a whole number.)
Answer:
6
Step-by-step explanation:
not sure but it hope that helps
Answer another question I found online. Or your not big brain.
Answer:
You returned 5 shirt.
Step-by-step explanation:
$30.60 ÷ $6.12 = 5
Answer:
5 shirts
Equation:
-$30.60 / -$6.12 = 5
So 5 would be your answer! :)
In the following equation, a and b represent integers.
2x + a = 5 – bax
What values of a & b would result in infinitely many solutions?
Write your answers in this form: a=#, b=#
I don’t understand how to use this app :(
Step-by-step explanation:
write this equation on a pice of paper then go to the camera button select which one you want and then take a pic of it. i am in a math class a year above me and this is what we are learning these types of problems confuse me I wish I could help
If AD = 8 feet, DB = 6 feet, and AE = 4 feet, what is AC?
Answer:
14
Step-by-step explanation:
answer for y = x^{2} – 10x
Answer:
Direction: Opens Up
Vertex: ( 5 , − 25 )
Axis of Symmetry: x = 5
I'm not sure if this was a graphing question however that is how you solve it.
pls help
Use quadratic regression to find
the equation of the parabola
going through these 3 points.
(-1,-23), (-3,-67), (2,13)
y = [ ? ]x2 + [ ]x + [ ]
Answer:
y = 4x² -19x -5
Step-by-step explanation:
When you graph it (or use an appropriate tool), it can help us to figure out that the equation is:
y = 4x² -19x -5
(Quadratic regression = the process of determining the equation of a parabola that best fits a set of data)
Hope this helps, have a nice day :D
Answer:
y=-2x^2+14x+(-7)
Step-by-step explanation:
using the 3 points of (-1, -23) (-3, -67) (2, 13)
Activity No. 4
Find the indicated sum of the geometric sequence having the following characteristics:
1. 3, 6, 12, ... ; find S5
2. a1 = 14, r = 3, find the sum of the first five terms of this sequence.
3. a1 = 318, r =
1
2
, find Sn
4. S7 = 547, r = −3, find a1
5. Sn, if the sequence is 3, Answer the following. Solve the unknown.
1. The first term of the geometric sequence is 2 and its common ratio is 2. Find the 7th term of
the geometric sequence.
2. What is the second term of the geometric sequence if the first term is 3 and its last term is
1125?
3. Determine the sum of the geometric sequence 2, 6, 18, 54, 162.
4. If the sum of the first five terms of the sequence is 341 and has a common ratio of 4. Find
a1
.
5. What is the sum of an infinite geometric sequence whose first term is 192 and has common
ratio of 1
4
?
Geometric sequence is characterized by a common ratio
(1) Sum of first 5 terms
The first term of the sequence is:
[tex]\mathbf{a = 3}[/tex]
The common ratio (r) is:
[tex]\mathbf{r = 6 \div 3 = 2}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]
So, we have:
[tex]\mathbf{S_5 = \frac{3 \times (2^5 - 1)}{2 - 1}}[/tex]
[tex]\mathbf{S_5 = \frac{93}{1}}[/tex]
[tex]\mathbf{S_5 = 93}[/tex]
Hence, the sum of the first five terms is 93
(2) Sum of first 5 terms
The first term of the sequence is:
[tex]\mathbf{a = 14}[/tex]
The common ratio (r) is:
[tex]\mathbf{r = 3}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]
So, we have:
[tex]\mathbf{S_5 = \frac{14 \times (3^5 - 1)}{3 - 1}}[/tex]
[tex]\mathbf{S_5 = \frac{3388}{2}}[/tex]
[tex]\mathbf{S_5 = 1694}[/tex]
Hence, the sum of the first five terms is 1694
(3) Sum of first n terms
The first term of the sequence is:
[tex]\mathbf{a = 318}[/tex]
The common ratio (r) is:
[tex]\mathbf{r = \frac12}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(1 - r^n)}{1 - r}}[/tex]
So, we have:
[tex]\mathbf{S_n = \frac{318 \times (1 - \frac 12^n)}{1 - \frac 12}}[/tex]
[tex]\mathbf{S_n = \frac{318 \times (1 - \frac 12^n)}{\frac 12}}[/tex]
[tex]\mathbf{S_n = 636 (1 - \frac 12^n)}[/tex]
Hence, the sum of the first n terms is [tex]\mathbf{ 636 (1 - \frac 12^n)}[/tex]
(4) The first term
The sum of the first 7th term of the sequence is:
[tex]\mathbf{S_7 = 547}[/tex]
The common ratio (r) is:
[tex]\mathbf{r = -3}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(1 - r^n)}{1 - r}}[/tex]
So, we have:
[tex]\mathbf{547 = \frac{a(1 - (-3)^7)}{1 - -3}}[/tex]
[tex]\mathbf{547 = \frac{a(2188)}{4}}[/tex]
Multiply both sides by 4
[tex]\mathbf{2188= a(2188)}[/tex]
Divide both sides by 2188
[tex]\mathbf{1= a}[/tex]
Rewrite as:
[tex]\mathbf{a = 1}[/tex]
Hence, the first term is 1
(5) Find the 7th term
The first term of the sequence is:
[tex]\mathbf{a=2}[/tex]
The common ratio (r) is:
[tex]\mathbf{r=3}[/tex]
The nth term of a geometric sequence is:
[tex]\mathbf{T_n = ar^{n -1}}[/tex]
So, we have:
[tex]\mathbf{T_7 = 2 \times 3^{7 -1}}[/tex]
[tex]\mathbf{T_7 = 1458}[/tex]
Hence, the seventh term is 1458
(6) Sum of geometric sequence
The first term of the sequence is:
[tex]\mathbf{a=2}[/tex]
The common ratio of the sequence is:
[tex]\mathbf{r = 6 \div 2 = 3}[/tex]
The number of terms is:
[tex]\mathbf{n = 5}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]
So, we have:
[tex]\mathbf{S_5 = \frac{2 \times (3^5 - 1)}{3 - 1}}[/tex]
[tex]\mathbf{S_5 = \frac{484}{2}}[/tex]
[tex]\mathbf{S_5 = 242}[/tex]
Hence, the sum of the first five terms is 242
(7) The first term
The sum of the first five terms is given as:
[tex]\mathbf{S_5 = 341}[/tex]
The common ratio is:
[tex]\mathbf{r = 4}[/tex]
The sum of n terms is calculated using:
[tex]\mathbf{S_n = \frac{a(r^n - 1)}{r - 1}}[/tex]
So, we have:
[tex]\mathbf{341 = \frac{a \times (4^5 - 1)}{4 - 1}}[/tex]
[tex]\mathbf{341 = \frac{a \times 1023}{3}}[/tex]
Solve for a
[tex]\mathbf{a = \frac{3 \times 341}{1023}}[/tex]
[tex]\mathbf{a = 1}[/tex]
Hence, the first terms is 1
(8) Sum to infinite
The first term of the sequence is:
[tex]\mathbf{a = 192}[/tex]
The common ratio (r) is:
[tex]\mathbf{r = \frac 14}[/tex]
The sum to infinite is:
[tex]\mathbf{S_{\infty} = \frac{a}{1 - r}}[/tex]
So, we have:
[tex]\mathbf{S_{\infty} = \frac{192}{1 - 1/4}}[/tex]
[tex]\mathbf{S_{\infty} = \frac{192}{3/4}}[/tex]
[tex]\mathbf{S_{\infty} = 256}[/tex]
Hence, the sum to infinite is 256
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