Answer:
I'm sorry I can't help if I can't see the problems clearly. :/
Step-by-step explanation:
At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?
x – 0.3 = 4.9 and x – 0.3 = –4.9
x + 0.3 = 4.9 and x + 0.3 = –4.9
x + 4.9 = 0.3 and x + 4.9 = –0.3
x – 4.9 = 0.3 and x – 4.9 = –0.3
Please Help <3
Answer:
x – 4.9 = 0.3 and x – 4.9 = –0.3
Answer:
d
Step-by-step explanation:
What is the 2's complement of 32-bit?
The 2's complement of 32-bit binary number 01010101010101010101010101010101 is 10101010101010101010101010101011.
In computing, the two's complement is a mathematical operation used to represent negative integers. To find the two's complement of a 32-bit number, one first needs to convert the number to its binary representation.
To obtain the two's complement, one inverts all the bits in the binary representation of the number, and then adds 1 to the result. This operation flips the sign of the number and creates a new representation of its absolute value in binary.
For example, the two's complement of the 32-bit binary number 00000000000000000000000000001010 is 11111111111111111111111111110110. This represents the negative value -10 in two's complement notation.
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Which equation represents a line that is perpendicular to y=2/3x−5 and passes through the point (6,12)?
The equation representing a line that is perpendicular to y=2/3x−5 and passes through the point (6,12) is y = -3x/2 +24
How to determine the equation of the line perpendicular to y=2/3x−5 and passes through the point (6,12)Equation of line perpendicular to another line is defined by the slope of the lines. If the slope is m, then the relationship between the slopes are
m = -1/m'
The equation of the line given y = 2/3x − 5
slope , m = 2/3
slope of the perpendicular line, m' = -1/m
m' = -3/2
The line passes through point (6,12)
y - 6 = -3/2(x-12
y - 6 = -3x/2 + 18
y = -3x/2 + 18 + 6
y = -3x/2 + 24
The equation of the perpendicular line required is y = -3x/2 +24
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Colin found 22 more mushrooms than Sophie did while they were out picking them in the forest. On the way home, Sophie asked Colin to give her some mushrooms so that they would have equal amounts. How many mushrooms should Colin give to Sophie?
Answer:
11 mushrooms
Step-by-step explanation:
If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.
PLEASEE answerrrrrr
two factory plants are making tv panels. yesterday, plant a produced 12,000 panels. three percent of the panels from plant a and 10% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 6%? numberofpanelsproducedbyplantb:12000
The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.
Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.
The quantity of faulty panels from Company B is consequently identical to 0.020x.With the illustration above, the entire quantity of panels produced with the aid of using the 2 corporations is identical to 12000 + x. The percent of general faulty panels to the entire panels produced may be expressed via the equation, ((12000)(0.02) + 0.010x) / (12000 + x) )(100)= Dividing the equation with the aid of using 100 (240 + 0.010x) / (12000 + x) = 0.06Cross-multiplying the denominator of the left-hand facet to the proper hand facet of the equation,240 + 0.010x = 360 + 0.06xTransposing like terms, 0.02x = 120Dividing the equation with the aid of using 0.02. x = 6000Read more about panel:
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HELP
These expressions are equivalent. True or False?
2x−3(x−4)=5x+12
True
False
False, the expressions 2x − 3(x − 4) = 5x + 12 are not equivalent
How to check if the expression are equivalentThe expressions are simplified and if the value of both are equal then they are said to be equivalent
Simplifying 2x − 3(x − 4)
= 2x - 3x + 12
= - x + 12
since 2x − 3(x − 4) = - x + 12 ≠ 5x + 12 the expression is said not to be equivalent
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Brylee has hiked 125 feet and hikes 1 foot per second. Jeremiah has hiked 10 feet and hikes 3.5 feet per second. After how many seconds will Brylee and Jeremiah have hiked the same amount of feet?
Answer:
46 seconds
Step-by-step explanation:
Brylee has hiked 125 feet and hikes 1 foot per second.
125 + s
Jeremiah has hiked 10 feet and hikes 3.5 feet per second.
10 + 3.5s
Where
s = number of seconds
Equate both Brylee and Jeremiah expression
125 + s = 10 + 3.5s
Collect like terms
125 - 10 = 3.5s - s
115 = 2.5s
Divide both sides by 2.5
s = 115 / 2.5
= 46
s = 46 seconds
Evaluate the function f(x)=2x-7 using the values given below. f(-3)=
Answer:
-13
Step-by-step explanation:
f(x)=2x-7
f(-3)=2(-3)-7=-6-7=-13
The equation of a line is x = -4. Will this produce a horizontal, vertical, or diagnol line?
- Horizontal.
- O Vertical.
- Diagonal.
An LTI system is described by the following differential equation
2 d³/ dt³ y (t) + 4 d²/ dt² (t) + 10 d/dt y (t) = 5x (t) + 2 d/dt x (t)
(a) Determine the frequency response of the system described.
(b) Obtain the Bode plot approximation. Write the cutoff frequencies of the system
The given linear time-invariant (LTI) system is described by a third-order linear constant coefficient differential equation. To determine the frequency response of the system, we can take the Laplace transform of the differential equation and solve in the Laplace domain
(a) To find the frequency response, we start by taking the Laplace transform of the given differential equation. Let \(Y(s)\) and \(X(s)\) represent the Laplace transforms of \(y(t)\) and \(x(t)\) respectively. By applying the Laplace transform, we obtain:
\[2s^3Y(s) + 4s^2Y(s) + 10sY(s) = 5X(s) + 2sX(s)\]
Simplifying the equation, we get:
\[Y(s) = \frac{5X(s) + 2sX(s)}{2s^3 + 4s^2 + 10s}\]
This equation represents the transfer function of the system in the Laplace domain. To obtain the frequency response, we substitute \(s = j\omega\) into the transfer function, where \(\omega\) represents the angular frequency.
(b) To approximate the Bode plot, we analyze the frequency response at low and high frequencies. At low frequencies (\(\omega \to 0\)), the terms involving \(s\) dominate, and the transfer function can be approximated as:
\[Y(j\omega) \approx \frac{2j\omega X(j\omega)}{2j\omega}\]
Simplifying, we find that the low-frequency gain is 1, indicating that the system passes low-frequency signals without significant attenuation.
At high frequencies (\(\omega \to \infty\)), the terms involving \(s\) become negligible compared to the constant term. Thus, the transfer function can be approximated as:
\[Y(j\omega) \approx \frac{5X(j\omega)}{10j\omega}\]
In this approximation, the gain decreases by -20 dB/decade, indicating that the system attenuates high-frequency signals.
The cutoff frequencies of the system can be determined from the Bode plot where the gain decreases by -3 dB. These frequencies represent the boundary between the passband and stopband of the system.
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A home security system may detect movement using its two different sensors. If motion is detected by any of the sensors, the system will alert the police. If there is movement outside, sensor V (video camera) will detect it with probability 0.95, and sensor L (laser) will detect it with probability 0.8. If there is no movement outside, sensor L will detect motion anyway with probability 0.05, and sensor V will detect motion anyway with probability 0.1. Based on past history, the probability that there is movement at a given time is 0.7. Assume these sensors have proprietary algorithms, so that conditioned on there being movement (or not), the events of detecting motion (or not) for each sensor is independent.
(a) Given that there is movement outside and that sensor V does not detect motion, what is the probability that sensor L detects motion?
(b) Given that there is a moving object, what is the probability that the home security system alerts the police?
(c) What is the probability of a false alarm? That is, that there is no movement but the police are alerted anyway?
(d) What is the probability that there is a moving object given that both sensors detect motion?
d) Tthe probability that there is a moving object given that both sensors detect motion is approximately 0.98.
(a) To find the probability that sensor L detects motion given that there is movement outside and sensor V does not detect motion, we can use Bayes' theorem.
Let's denote the events as follows:
A = Movement outside
B = Sensor V does not detect motion
C = Sensor L detects motion
We are given:
P(A) = 0.7 (probability of movement outside)
P(B|A) = 0.05 (probability of sensor V not detecting motion given movement outside)
P(C|A) = 0.8 (probability of sensor L detecting motion given movement outside)
We want to find P(C|A', B), where A' denotes the complement of event A.
Using Bayes' theorem:
P(C|A', B) = [P(A' | C, B) * P(C | B)] / P(A' | B)
We can calculate the values required:
P(A' | C, B) = 1 - P(A | C, B) = 1 - P(A ∩ C | B) / P(C | B) = 1 - [P(A ∩ C ∩ B) / P(C | B)]
= 1 - [P(B | A ∩ C) * P(A ∩ C) / P(C | B)]
= 1 - [P(B | C) * P(A) * P(C | A) / P(C | B)]
= 1 - [P(B | C) * P(A) * P(C | A) / [P(B | C) * P(A) * P(C | A) + P(B | C') * P(A') * P(C | A')]]
P(B | C) = 0 (since sensor V does not detect motion when there is motion outside)
P(C | A') = 0 (since sensor L does not detect motion when there is no motion outside)
Substituting these values:
P(C | A', B) = 1 - [0 * P(A) * P(C | A) / (0 * P(A) * P(C | A) + P(B | C') * P(A') * P(C | A'))]
= 1 - [0 / (0 + P(B | C') * P(A') * P(C | A'))]
= 1 - 0
= 1
Therefore, the probability that sensor L detects motion given that there is movement outside and sensor V does not detect motion is 1.
(b) To find the probability that the home security system alerts the police given that there is a moving object, we need to consider the different combinations of sensor detections.
Let's denote the events as follows:
D = The home security system alerts the police
M = There is a moving object
We need to calculate P(D | M). This can occur in two ways:
1. Both sensor V and sensor L detect motion.
2. Sensor L detects motion while sensor V does not.
Using the law of total probability:
P(D | M) = P(D, V detects motion, L detects motion | M) + P(D, V does not detect motion, L detects motion | M)
We know:
P(D, V detects motion, L detects motion | M) = P(V detects motion | M) * P(L detects motion | M) = 0.95 * 0.8 = 0.76
P(D, V does not detect motion, L detects motion | M) = P(V does not detect motion | M) * P(L detects motion | M) = (1 - 0.95) * 0.8 = 0.04
Substituting
these values:
P(D | M) = 0.76 + 0.04
= 0.8
Therefore, the probability that the home security system alerts the police given that there is a moving object is 0.8.
(c) To find the probability of a false alarm, i.e., that there is no movement but the police are alerted anyway, we need to consider the different combinations of sensor detections.
Let's denote the events as follows:
D = The home security system alerts the police
NM = There is no movement
We need to calculate P(D | NM). This can occur in two ways:
1. Both sensor V and sensor L detect motion.
2. Sensor L detects motion while sensor V does not.
Using the law of total probability:
P(D | NM) = P(D, V detects motion, L detects motion | NM) + P(D, V does not detect motion, L detects motion | NM)
We know:
P(D, V detects motion, L detects motion | NM) = P(V detects motion | NM) * P(L detects motion | NM) = 0.1 * 0.05 = 0.005
P(D, V does not detect motion, L detects motion | NM) = P(V does not detect motion | NM) * P(L detects motion | NM) = (1 - 0.1) * 0.05 = 0.045
Substituting these values:
P(D | NM) = 0.005 + 0.045
= 0.05
Therefore, the probability of a false alarm, i.e., that there is no movement but the police are alerted anyway, is 0.05.
(d) To find the probability that there is a moving object given that both sensors detect motion, we can use Bayes' theorem.
Let's denote the events as follows:
M = There is a moving object
V = Sensor V detects motion
L = Sensor L detects motion
We want to find P(M | V, L).
Using Bayes' theorem:
P(M | V, L) = [P(V, L | M) * P(M)] / [P(V, L)]
We can calculate the values required:
P(V, L | M) = P(V | M) * P(L | M) = 0.95 * 0.8 = 0.76
P(M) = 0.7 (given probability of movement)
P(V, L) = P(V, L | M) * P(M) + P(V, L | M') * P(M')
= 0.76 * 0.7 + 0.04 * 0.3
= 0.532 + 0.012
= 0.544
Substituting these values:
P(M | V, L) = (0.76 * 0.7) / 0.544
≈ 0.98
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Your family of 5 went to the Chinese buffet. The cost for each person was $8.95. The sales tax was
11%. How much sales tax did you pay?
Answer:
9.93
Step-by-step explanation:
Just add your tax to your price.
Halp easy points Brainliest to correct answer
Answer:
10n²-3n-18
Step-by-step explanation:
Simple it's expanding brackets:
(2n-3)(5n+6) =
2n×5n = 10n²2n×6 = 12n-3×5n = -15n -3×6 = -1810n²+12n-15n-18 =
10n²-3n-18
This is our final answer
Hope this helped and have a good day
Answer:
10n²-3n-18
Step-by-step explanation:
(2n-3)(5n+6)
Split the first bracket, and multiply each term by the entirety of the second bracket:
2n (5n+6) - 3 (5n+6)
Now multipy:
10n² +12n - 15n -18
10n²-3n-18
Earth has a diameter of 7,926 miles. What is its diameter in kilometers? (1 mile = 1.6 kilometers)
A. 49,553 km
B. 120,586 km
C. 1,392,650 km
D. 12,682 km
The diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.
To convert the diameter of Earth from miles to kilometers, we can multiply the given diameter in miles by the conversion factor of 1.6 kilometers per mile.
Given that Earth's diameter is 7,926 miles, we can calculate its diameter in kilometers as follows:
Diameter in kilometers = Diameter in miles × Conversion factor
Diameter in kilometers = 7,926 miles × 1.6 kilometers/mile
Diameter in kilometers = 12,681.6 kilometers
Rounding this value to the nearest whole number, we get 12,682 kilometers.
Therefore, the correct answer is option D: 12,682 km.
Option A: 49,553 km is not the correct answer. It is not consistent with the given diameter of Earth.
Option B: 120,586 km is also not the correct answer. It is not consistent with the given diameter of Earth.
Option C: 1,392,650 km is significantly larger than the actual diameter of Earth and is not a plausible value.
In conclusion, the diameter of Earth in kilometers is approximately 12,682 km, making option D the correct answer.
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Solve the equation 7/z-1 = 9/z+4
Answer:
z is equal to 18.5
Step-by-step explanation:
When an equation is in the format a/b = c/d, the quickest way to simplify it is to cross multiply. Each side is multiplied by the other sides denominator, eliminating the division:
\(\frac{7}{z-1} = \frac{9}{z + 4}\\7(z + 4) = 9(z - 1)\\7z + 28 = 9z - 9\\7z - 9z = -9 - 28\\-2z = -37\\z = 37/2\\z = 18.5\)
So z is equal to 18.5
i need help with this
Answer:
B.9
Step-by-step explanation:
i Think the answer is B because the donkey is 5 feet but the shadow is 4.5 so the shadow would be a little smaller because of the position of the sun
12 more than quotient of a number k and 5
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
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Find the area of the circle with a diameter of 12 m.
a 95.64 m2
b 112.27 m2
C 113.04 m2
d 210.36 m2
Answer:
113.04 is our answer
Step-by-step explanation:
When finding Area the formula to do so is
radius x radius x pi
Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So
3.14 x 36 = 113.04 So c is our answer!
Write 3 other expressions that are equivalent to 8x-12
\(8x-12 = 8(x-3/2) = 2(4x-6) = 4(2x-3)\)
Hope that helps!
If the same number is subtracted from both the numerator and the denominator of 13/17 , the result is 2/3 . Find the number.
Given that the same number is subtracted from both the numerator and the denominator of `13/17`, and the result is `2/3`. Let's find the number. In order to find the number, let's represent the number in the form of 'x'.
Therefore, the new fraction after subtracting the number 'x' from the numerator and the denominator of `13/17` is `13-x/17-x`. As per the problem, `(13-x)/(17-x) = 2/3` Now, let's solve for
'x'`(13-x) × 3 = 2 × (17-x)` `39 - 3x
= 34 - 2x` `x
= 5`
Therefore, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`. "The number to be subtracted from both the numerator and the denominator of `13/17` is `5`." Given, `(13-x)/(17-x) = 2/3` the value of 'x' Taking cross multiplication, `(13-x) × 3 = 2 × (17-x)` Simplifying, `39 - 3x = 34 - 2x` On solving for 'x', we get `x = 5`.
Therefore, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`. The given problem is about finding the number which is to be subtracted from both the numerator and the denominator of `13/17`, such that the new fraction is equal to `2/3`.Therefore, let's represent the number to be subtracted in the form of 'x'. So, the new fraction will be `(13-x)/(17-x)`. According to the given information, we have `(13-x)/(17-x) = 2/3`. On simplifying the above expression, we get `(13-x) × 3 = 2 × (17-x)`. Hence, the number which is to be subtracted from both the numerator and the denominator of `13/17` is `5`.
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
Given the function f(x)=x^23x-2f(x)=x
2
3x−2, determine the average rate of change of the function over the interval -2\le x \le 2−2≤x≤2
The average rate of change of the function over the interval -2 ≤ x ≤ 2 is 12.
To find the average rate of change of the function over the interval -2 ≤ x ≤ 2, we need to calculate the difference in function values divided by the difference in x-values.
First, let's find the value of the function at the endpoints of the interval:
f(-2) = (-2)²(3(-2) - 2) = 4(-6 - 2) = 4(-8) = -32
f(2) = (2)²(3(2) - 2) = 4(6 - 2) = 4(4) = 16
Now, we can calculate the difference in function values and x-values:
Δy = f(2) - f(-2) = 16 - (-32) = 48
Δx = 2 - (-2) = 4
The average rate of change is given by Δy/Δx:
Average rate of change = 48/4 = 12
Therefore, the average rate of change of the function over the interval -2 ≤ x ≤ 2 is 12.
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will mark brainliest!!
pls help
Answer:
weight 8 and cost 37
Step-by-step explanation:
Eldrick is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between the mean of each data set?
Answer:
15
Step-by-step explanation:
mean means add all the numbers and divide them by how many there are
plot 1: 63 divided by 9 equals 7
plot 2: 330 divided by 15 equals 22
so now we need to subtract 22 minus 7 equals 15
hope this helps
Answer:
15
Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added
Given the function f (x) =x2 + 5, x € (0,3] = 1 (a) Enter f' (x) 2*x (b) Enter the inverse function, f–1 (2) (x-5)^(1/2) O (c) Enter the compound function f' (f–1 (x)) -1 1/(2*((x-5)^1/2)) ka) E
a) f'(x) = 2x.
b)The inverse function is \(f^{(-1)\)(x) = sqrt(x - 5).
c) The compound function f'(\(f^{(-1)\)(x)) = 1 / (2 * sqrt(x - 5)).
To find its derivative, inverse function, and the compound function using the provided informatio:
(a) The derivative of the function, f'(x):
can be found by differentiating f(x) with respect to x. The derivative of \(x^2\) is 2x, and the derivative of 5 is 0. Therefore, f'(x) = 2x.
(b) To find the inverse function, f^(-1)(x):
we need to swap x and y in the original function and then solve for y. In this case, the function becomes \(x = y^2 + 5\). Subtract 5 from both sides, and then take the square root:
y = sqrt(x - 5)
So, the inverse function is \(f^{(-1)\)(x) = sqrt(x - 5).
(c) To find the compound function f'(\(f^{(-1)\)(x)):
we first plug in\(f^(-1)\)(x) into f'(x):
f'(f^(-1)(x)) = 2 * sqrt(x - 5)
Now, find the derivative of the inverse function with respect to x:
d/dx [sqrt(x - 5)] = 1 / (2 * sqrt(x - 5))
Therefore, the compound function f'(f^(-1)(x)) = 1 / (2 * sqrt(x - 5)).
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Can someone plz help me solved this problem! I need help! I will mark you as brainiest !
Answer:
275
Step-by-step explanation:
If they pay $2,200 to screen a movie and charge $8 a head then it's just division. 2200/8 is equal to 275.
the tickets should be 275 tickets..
I NEED HELP ASAP WE ARE GIVING BRAILIEST AND POINT HURRY I NEED
HELP!!!Q.1) The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 95 centimeters in 5 seconds.
What is the time in seconds the ant crawls when the total distance is 133 centimeters?
A.6 s
B.7 s
C.19 s
D.27 s
Answer: C
Step-by-step explanation:
not A or d
B or C
All I did was divide 95 and 5 and I got 19!
hope this helps!:)
Answer:
B.) 7 seconds
Step-by-step explanation:
We are given that the ant can crawl 95 centimeters in 5 seconds, which means that it can crawl 19 centimeters in 1 second (95 centimeters/5 seconds). Now you need to divide 19 from 133 (133 centimeters/19 centimeters per second), and you get 7 seconds.
If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?
Answer:
Step-by-step explanation:
Let the original cost be x
The shoppers get 10% of the original price
Therefore the equation to find final cost =
Discount: 10x/100
Final Cost: 90x/100
Mark brainliest for further answers :)
Derek wants to order some roses online. Fibrst A charges $4.75
per blue rose plus $40 delivery charge. Florist B charges$5.15
per red rose plus $25 delivery charge. If Florist B increases the
cost per rose to $5.20, for what number of roses is it less
expensive to order from Florist A? From Florist B?
I wrote down an answer but idk I came up with 33.33
Answer:from florist A=34 roses
From florist b (you can really pick any number less than 34 and it proves to be less expensive)
Step-by-step explanation:
Florist a:
4.75(34)+40= $201.50
Florist b:
5.20(34)+25=$201.80