Answer:
The answer is C (2:1)
Step-by-step explanation:
1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.
8 / 4 = 2
4 / 4 = 1
Therefore, the answer is 2:1 (C)
What number comes next? 6, 9, 12, 15
Answer:
18
Step-by-step explanation:
Answer: 18, 21, 24, 27, 30
Step-by-step explanation:
Which graph represents the solution 2x - 5y <3
Answer:
There is no picture... But here is a representation of the inequality on a graph
The graph 2x - 5y < 3 cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequality is 2x - 5y <3. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When the inequality 2x - 5y < 3 is plotted on the graph it covers the region which is less than the line 2x - 5y < 3. The graph cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
The graph of the given inequality is attached with the answer below.
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Wilma has 28 coins, all nickels, and dimes worth $2.05. How many nickels does she have?
Answer:
15 nickels and 13 dimes
Step-by-step explanation:
5n + 10d = 205 cents
n + d = 28
n = 28-d
5(28-d) +10d = 205
140 -5d + 10d = 205
5d = 65
d = 13
n = 28-d = 28-13 = 15
5n = 5(15) = 75
10d = 10(13) = 130
75+130=205
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
what is the answer?
plz help
Answer:-516
Step-by-step explanation:
Answers:
The simplified expression is -4x The value is -516===========================================
Explanation:
To simplify this, we combine the coefficients. This works because all of the terms have 'x' in them and nothing else (they are all like terms). We can think of this problem as trying to evaluate -12+14-6. This simplifies to -4
So -12x+14x-6x simplifies to -4x
Afterward, we replace x with 129 to get
-4x = -4*129 = -516
Mr. Quick bought a new computer system. The regular price was $1850, but he got a 15% discount. How much did he pay?
Answer:
the price Mr. Quick paid is=$1343
I think I can help you with this
you can easily solve this by using a rule of three
Step one
find the discount value if
$1580⇒ 100%
$x? ⇒ 15%
do the relation
the discount is $237
the price Mr. Quick paid is
the price Mr. Quick paid is=regular price - discount
the price Mr Quick paid is=$1580-$237
the price Mr Quick paid is=$1343
I hope it helps, Have a great day!!! :)
Step-by-step explanation:
A tank is filled with 1000 liters of pure water. Brine containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 liters per minute.
A. Determine the differential equation which describes this system. Let SG) denote the number of kg of salt in the tank after t minutes. Then ds/dt=_____.
B. Solve the differential equation for S(t).
Answer:
The answer is below
Step-by-step explanation:
Let s(t) represent the amount of salt in the tank at time t. Therefore:
ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)
[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]
[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]
A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].
B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
Differential Equation:A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).
[tex]\frac{dy}{dx} =f(x)[/tex]
(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.
Then,
[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)
[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]
(B)
[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]
Integrating we get,
[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]
Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]
Then the required solution is,
[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
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A jumping spider hunts for its
food. When it gets close to its
prey, it jumps into the air and
pounces on it.
A jumping spider can jump
40 times its body length. One
jumping spider is 2 centimeters
long. How far can it jump?
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answer:
49c2
Step-by-step explanation:
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
105
Step-by-step explanation:
A straight line is 180 degrees so 180-75=105
Answer:
x= 105 degrees
Step-by-step explanation:
We know that the sum of x and 75 degrees is equal to 180 degrees.
So that means that x= 180-75 or x=105 degrees
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answer:
b
Step-by-step explanation:
If you make x dollars per hour and you work 8 hours, how much money will you make?
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so
Δv = [tex]2m_{p}[/tex] / L
Δv / 2 = [tex]m_{p}[/tex] / L
given that the error must be at most 1% of [tex]m_{p}[/tex],
1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
SOMEONE HELP I NEED TO PASS
Multiply. Write the answer in simplest form. 1/5 . 2/9
2/45 in simplest form
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years
Answer:
212272.71
Step-by-step explanation:
we have the following equation (for interesting that compound yearly)
PV(1+i)^n
200000(1+.015)^4
212272.71
The total amount of interest Katy will get at the end of 4 years is £12,272.71
Compound interestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interestCompound interest refers to the phenomenon whereby the interest associated with a bank account, loan, or investment increases exponentially—rather than linearly—over time.Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periodsHow to solve this problem?The steps are as follow:
Given:p = £200 000
r = 1.5%
n = 4 years
Formula to find Amount (A) after 4 years will as follow:A = p(1+r/100)ⁿ
A = 200000(1+1.5/100)⁴
A = 212,272.71 £
The compound interest is given by:C.I. = A - p
C.I. = 212,272.71 - 200,000
C.I. = £12,272.71
So the total amount of interest Katy will get at the end of 4 years is £12,272.71
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The local grocery store sells a bag of dog food for $22. The store pays $13 for the dog food which equation can be used to find the markup on the dog food?
Answer:
2
Step-by-step explanation:
9 1/4- 2 5/8 in simpilest form
Answer:19.625
Step-by-step explanation:
Classify each statement about the function f(3) = 323 +6 as true or false.
Answer:
true.
false
true.
false.
Step-by-step explanation:
1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.
2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.
3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.
4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.
-y = 3(-x)³ + 6 now lets see what happens it we let x = 2
For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30
Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18
So -y = -18
So y = 18
The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.
Thus, the origin is not a point of symmetry. False.
I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.
The Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.
Domain, range, and y-interceptGiven the function [tex]f(x)=3x^3 + 6[/tex]
Domain and range are the value of input and output that the function exists.
For the given function, the domain and range exist on all real numbers.
Domain = (-∞, ∞) and Range = (-∞, ∞)
The y-intercept occur at (x) = 0
g(0)= 3(0)^3 + 6
g(0) = 6
Hence the Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.
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is 25/4 a rational number
Answer:
No.
Because,24/4=5.25
Answer:
Yes
Step-by-step explanation:
All rational numbers have endings. Since 25/4=6.25 it is rational
0.7c-1.5c c=13 d=3 ...............................
Answer:
4.6
Step-by-step explanation:
40 points please help!! I will mark brainliest! Random answers will be reported
Answer:
B. Yes, SASStep-by-step explanation:
Given
PS ≅ RQPR ≅ RP∠SPR ≅ ∠QRPThe two sides and the included angle - SAS
Correct option is
B. Yes, SASPlease answer ASAP!!!!!!!
Answer:
B is the correct answer
Step-by-step explanation:
just did this problem
Add and
subtract fraction. X+5=23
how do i solve this? pls help
Answer:
6.11753349 × [tex]10^1^6[/tex]
Step-by-step explanation:
Raise 17 to the power of 12 .
f(x) = 105 ⋅ 582622237229761
Multiply 105 by 582622237229761 .
f ( x ) = 61175334909124905
Move the decimal so there is one non-zero digit to the left of the decimal point
6.11753349 × [tex]10^1^6[/tex]
Hope this helps :)
Math nation. I need help, please.
Answer:
Step-by-step explanation:
Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.
sin(21°) = 17,000/hypotenuse
hypotenuse = 17,000/sin(21°) = 47,437.3 ft
Which of the following is not true about the boundary line in the graph of a linear inequality in two variables?
A. The points on the boundary line are always solutions to the linear inequality.
B. The boundary line separates the ordered pair solutions to the inequality from the ordered pairs that are not solutions to the inequality.
C. A solid line is used when the inequality is non-strict ( ≤ or ≥ ).
D. A dashed line is used when the inequality is strict ( < or > )
D. A dashed line is used when the inequality is strict ( < or > )
A linear inequality in two variables is obtained by taking a linear equation in two variables, and replacing the equality sign with any one of the four inequality signs: <,>,=<,>=.
The graphed region of points satisfying the inequality is always half of the plane bounded by the corresponding line.
When the inequality is [tex]\leq[/tex] or [tex]\geq[/tex], the line is included. Otherwise, the line is excluded.
So, A dashed line is used when the inequality is strict ( < or > ) is not true about the boundary line in the graph of a linear inequality in two variables
Therefore, the correct option is D.
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