The corresponding point for functions f(x) is (-4, 4)
Corresponding point for a function:In mathematics, the corresponding point for a function f(x) is a point (x,y) on the Cartesian plane where the y-coordinate is the value of the function at the x-coordinate, that is, y = f(x)
Here we have
The point (-3,-3) is lies the graph of f(x)
Which indicates f(-3) = -3
Hence f(3/4 x) should be equal to -3
=> 3x/4 = -3
=> 3x = -12
=> x = - 4
And the 'y' coordinate will be the same as the 'x' coordinate
Therefore,
The corresponding point for functions f(x) is (-4, 4)
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Given m∥n, find the value of x and y.
what dose Graph x \geq -1x≥−1x, is greater than or equal to, minus, 1. mean
The meaning of the graph is that the value of x is no less than -1
How to determine the meaning of the graphFrom the question, we have the following parameters that can be used in our computation:
x ≥ − 1
The above expression is an inequality that implies that
The value of x is no less than -1
Next, we plot the graph
See attachment for the graph of the inequality
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Question
What does the graph of x ≥ −1 mean?
(6.8 x10^2) x (1.3 x10^-3)
Answer:
0.884
Step-by-step explanation:
can someone please help me with number 7?!
Professor Macor has conditioned her cat Prince to come running when she crinkles his bag of kitty treats. In terms of classical conditioning, crinkling the bag of treats serves as the:
In terms of classical conditioning, crinkling the bag of kitty treats serves as the conditioned stimulus. Classical conditioning involves the association of a neutral stimulus (conditioned stimulus) with a naturally occurring stimulus (unconditioned stimulus) to elicit a response.
Classical conditioning is a type of learning in which a neutral stimulus becomes associated with a naturally occurring stimulus to elicit a response. In this scenario, crinkling the bag of kitty treats is the neutral stimulus that becomes associated with the naturally occurring stimulus, which is the pleasure of eating treats for the cat.
The conditioned stimulus is the previously neutral stimulus that, through repeated pairing with the unconditioned stimulus (the naturally occurring stimulus), triggers a response. In this case, the crinkling sound of the bag becomes the conditioned stimulus because it is repeatedly paired with the unconditioned stimulus (the pleasure of eating treats), leading to the cat's response of coming running when it hears the bag being crinkled.
Over time, the cat learns to associate the sound of the crinkling bag with the reward of receiving treats, and the conditioned response of coming running is elicited by the conditioned stimulus alone, even without the presence of the unconditioned stimulus (the actual treats). This demonstrates the process of classical conditioning.
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5. What is the Boolean duality principle?
The Boolean duality principle is a fundamental concept in Boolean algebra which states that any statement or expression in the algebra can be transformed into an equivalent form by interchanging the roles of AND and OR operators, as well as 0's and 1's.
The Boolean duality principle, also known as De Morgan's laws, is a fundamental concept in Boolean algebra that states that every Boolean expression remains valid if you perform the following steps:
1. Swap AND (⋅) operators with OR (+) operators and vice versa.
2. Replace all 1's with 0's and all 0's with 1's.
3. Complement (invert) all variables.
In other words, the Boolean duality principle allows us to derive a dual expression from an original Boolean expression by applying these transformations. This principle is useful in simplifying Boolean expressions and designing digital circuits.
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PLEASE HELPP
Subject: Trigonometry
Answer:
51.3
Step-by-step explanation:
\(\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}\)
Answer:
45
Step-by-step explanation:
What is the smallest number of marbles that could be divided up either into bags of $18$ marbles or into bags of $42$ marbles, with no marbles left over in each case
The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles is 126.
How to find that number?
The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles, with no marbles left over in each case, is the lowest common multiple between these two numbers.
By decomposing these numbers as a product of primes, we get:
18 = 2*3*3
42 = 2*3*7
Notice that the first two prime factors are the same, but the third one changes. To get the first common multiple, we need to multiply both numbers by the third factor (the different one) of the other.
We will get:
18*7 = 126
42*3 = 126
Then 126 is the smallest number that can be divided by 18 and 42.
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a company has a workforce of 200 employees. 120 of the employees are men and the rest are women. if 10 employees are randomly selected, what is the probability that at least 4 of them are women?
The probability that at least 4 of the 10 selected employees are women is approximately 0.671.
Let the probability that a randomly selected employee is a woman is "p",
The 120 employees are men and rest 80 are women,
We have,
⇒ p = (number of women)/(total number of employees),
⇒ p = (200 - 120)/200,
⇒ p = 0.4,
Let X = number of women among the 10 employees selected.
Then X follows a binomial distribution with parameters "n = 10" and "p = 0.4".
The probability of "at-least-4" selected employees are women is expressed as⇒ P(X ≥ 4) = 1 - P(X ≤ 3),
⇒ P(X ≤ 3) = \(\[ \sum_{k=0}^{3} \]\) C(10,k) × 0.4^k × 0.6^(10-k),
We can then subtract this value from 1 to obtain P(X ≥ 4),
⇒ P(X ≥ 4) = 1 - P(X ≤ 3),
⇒ P(X ≥ 4) ≈ 0.671
Therefore, the required probability is approximately 0.671.
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Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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what is mm to meters?
The method to convert milimeter to meters will be through multiplication of \( {10}^{-3} \) with the quantity in milimeter.
The abbreviation mm is representative of milimeters. Now, we know that milimeters is 1/1000 meters and hence is smaller unit in comparison to meters.
Based on the above mentioned fact, we can multiply the same number (smaller unit) with negative exponent. It will be carried out like this -
Quantity in meters = quantity in milimeter ×
\( {10}^{-3} \), where \( {10}^{-3} \) has negative exponent. Let us say we have 10⁹ milimeters and need to convert in into meters.
So, quantity in meter = 10⁹ × \( {10}^{-3} \),
Performing multiplication which will be done through subtraction of powers
Quantity in meters = 10⁶ meters
Hence, mm to meters will be multiplication with \( {10}^{-3} \).
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Which expression represents the factored form of 6x^{2} -13x-5?
(2x+5)(3x-1)
(2x-5)(3x+1)
(6x-5)(x+1)
(6x+1)(x-5)
Answer:
second
Step-by-step explanation:
(2x-5)(3x+1) = 6x² +2x -15x -5 = 6x² -13x - 5
what’s the slope for this lines i need help please
Answer:
where is it
Step-by-step explanation:
Ugh
What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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If the answers to a quadratic equation were 2+6√3 and 2-6√3, then what was the original polynomial
Answer:
\( p(x) = k[ x^2-4x-104] \)
Step-by-step explanation:
Say if alpha and beta are the zeroes of the quadratic polynomial then the quadratic polynomial is given by ,
\(\implies p(x) = k[x^2-(\alpha+ \beta)x +\alpha\beta ] \)
where k is a constant\(\implies p(x) = k[ x^2 - [ (2+6\sqrt3)+(2-6\sqrt3)x] + \{ (2+6\sqrt3)(2-6\sqrt3)\} ] \\\\\implies p(x) = k[ x^2 - 4x + \{ (2)^2-(6\sqrt3)^2\}] \\\\\implies p(x) = k[ x^2 -4x \{ 4-108\} ] \\\\\implies\boxed{\boxed{ p(x) = k[ x^2-4x-104] }}\)
This is the required answer !
a stone pyramid in egypt has a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
the volume of the pyramid is approximately 593,866.67 cubic meters.
To find the volume of the pyramid, we first need to use the formula for the volume of a pyramid, which is:
\(V = \frac{1}{3} * base area * height\)
Since the pyramid has a square base, the base area can be found by multiplying the length of one side by itself:
base area = 140 m * 140 m = 19,600 m²
Now we can plug in the values for the base area and height into the formula:
V = (1/3) * 19,600 m^2 * 91 m
V = 1/3 * 1,781,600 m³
V = 593,866.67 m³
Therefore, the volume of the pyramid is approximately 593,866.67 cubic meters
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The volume of the pyramid is approximately 594,533.33 cubic meters.
To find the volume of a stone pyramid in Egypt with a square base that measures 140 meters on each side and a height
of 91 meters, you'll need to use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
Calculate the base area by squaring the side length:
Base Area = Side × Side = 140 m × 140 m = 19,600 m²
Multiply the base area by the height:
Base Area × Height = 19,600 m² × 91 m = 1,783,600 m³
Multiply the result by (1/3) to get the volume:
Volume = (1/3) × 1,783,600 m³ = 594,533.33 m³ (rounded to two decimal places)
So, the volume of the pyramid is approximately 594,533.33 cubic meters.
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Help please :/.
What is the surface area of a cube where the length of each edge is 4 feet?
A) 12 sq ft
B) 24 sq ft
C) 64 sq ft
D) 96 sq ft
Answer:
the answer is 96 square feet
you could use
4×4=16
then times how many rectangle you have which is 6
susan is making a flag. she buys 3 3/4 yards of fabric. she uses 9/10 of this piece of fabric. how many yards of the 3 3/4 yards of fabric that she bought did she actually use?
On solving the provided question, we can say that by unitary method we got that the 3, 3/4 yards of fabric that she bought did she actually use
\(3\frac{3}{4} - 9/10 = > 31/10\)
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
she buys = 3, 3/4 yards of fabric
she uses = 9/10 of this piece of fabric
the 3, 3/4 yards of fabric that she bought did she actually use
\(3\frac{3}{4} - 9/10\\15/4 - 9/10\\150 - 36/40\\124/40\\62/20\\31/10\)
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The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t² - 2t - 8, 2≤t≤6 (a) Find the displacement (in meters). 16/3 (b) Find the distance traveled (in meters) by the particle during the given time interval.
To find the displacement and distance traveled by the particle, we need to integrate the velocity function over the given time interval.
(a) Displacement:
The displacement is given by the definite integral of the velocity function from the initial time to the final time:
Displacement = ∫[2, 6] (v(t) dt)
Integrating the velocity function, we get:
Displacement = ∫[2, 6] (t² - 2t - 8) dt
= [1/3 * t³ - t² - 8t] evaluated from 2 to 6
= (1/3 * 6³ - 6² - 8 * 6) - (1/3 * 2³ - 2² - 8 * 2)
= (1/3 * 216 - 36 - 48) - (1/3 * 8 - 4 - 16)
= (72 - 36 - 48) - (8/3 - 4 - 16)
= (72 - 84) - (8/3 - 20/3)
= -12 - (-12/3)
= -12 + 4
= -8
Therefore, the displacement of the particle is -8 meters.
(b) Distance traveled:
To find the distance traveled, we need to consider the absolute value of the velocity function and integrate it over the given time interval:
Distance = ∫[2, 6] |v(t)| dt
Since the velocity function is given by v(t) = t² - 2t - 8, we can rewrite it as:
v(t) = t² - 2t - 8 if t ≤ 4
-(t² - 2t - 8) if t > 4
The distance traveled can be calculated as the sum of the integrals of |v(t)| over the two intervals, [2, 4] and [4, 6]:
Distance = ∫[2, 4] (t² - 2t - 8) dt + ∫[4, 6] -(t² - 2t - 8) dt
Calculating the two integrals separately:
∫[2, 4] (t² - 2t - 8) dt = [1/3 * t³ - t² - 8t] evaluated from 2 to 4
= (1/3 * 4³ - 4² - 8 * 4) - (1/3 * 2³ - 2² - 8 * 2)
= (1/3 * 64 - 16 - 32) - (1/3 * 8 - 4 - 16)
= (64/3 - 48/3 - 96/3) - (8/3 - 20/3)
= (16/3 - 96/3) - (-12/3)
= -80/3 + 12/3
= -68/3
∫[4, 6] -(t² - 2t - 8) dt = [-1/3 * t³ + t² + 8t] evaluated from 4 to 6
= (-1/3 * 6³ + 6² + 8 * 6) - (-1/3 * 4³ + 4² + 8 * 4)
= (-1/3 * 216 + 36 + 48) - (-1/3 * 64 +
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Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40. Which statement is true about the solution c=40?
Answer:
The equation is not true. It is actually c=30
Step-by-step explanation:
First you have to divide amount of money she's selling the candy bars for which is $2.50.
If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.
So c= 30
Find the x intercept and y intercept x + 18 = 9y
Answer:
x = 72 and y = 0 im just guessing so dont be completey
pls help this is due tomorrow, no links!! will mark you brainliest, maybe better if you graph this on paper
Answer:
Step-by-step explanation:
I know this isnt graphed on paper but here you go,
Blue: \(y=-\frac{2}{3}x+3\)
Green: \(-4x+5\)
Red: \(y=3x-3\)
you can use desmos's graphing calculator online
\(1) \: y = 3x - 3 \\ 0 = 3x - 3 \\ - 3x = - 3 \\ x = \frac{ - 3}{ - 3} \\ x = 1 \\ y = 3x - 3 \\ 3(0) - 3 \\ y = - 3 \\ 2) \: y = - \frac{2}{3} x + 3 \\ 0 = - 2x + 9 \\ 2x = 9 \\ x = \frac{9}{2} \\ y = - \frac{2}{3}(0) + 3 \\ y = 3 \\ 3) \: y = 4x + 5 \\ 0 = 4x + 5 \\ - 4x = 5 \\ x = - \frac{5}{4} \\ y = 5\)
a(7x+3)=b+14x what is the value of a and b
Answer:
djdjfjfjfjfjfjfjtjjrntrnnfntnfjfkf
22000 in standard form
Answer : \(22.000\) x \(10x^{3}\)
Step-by-step explanation:
Answer:22 x 10^3
Step-by-step explanation:
Solve for all solutions of the equation. Show all work for full credit.
x^3 - 8 = 0
I'm mainly struggling with getting it into perfect cube form
Answer:
Factor using difference of cubes and set each factor equal to
0
.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Step-by-step explanation:Factor using difference of cubes and set each factor equal to
0
.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
Hey there!
“x³ – 8 = 0”
• ADD BOTH of your SIDES BY 8
x³ – 8 + 8 = 0 + 8
• CANCEL out: –8 + 8 because that gives you 0
• KEEP: 0 + 8 because it helps us solve for your x-value
0 + 8 = 8
x³ = 8
• SECOND: TAKE your CUBE ROOT
x = 8^1/3
SOLVE ABOVE AND YOU HAVE YOUR x-value!
x = 2 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
if i have a 92% grade and i get 14/20 aka 70% on a test what is my grade
Answer: U misluk nee A beteken dat u misluk
NEED HELP ASAP
4x+6>-24
Translate the inequality into written language. Find the solution set of x and describe how you would graph it on a number line.
Given that the inequality is 4x+6>-24
The inequality sign here is greater than sign.
In the words, Six more than four times of x is greater than -24.
Solving the given inequality is given by,
4x+6 > -24
4x > -24-6
4x > -30
x > -15/2
x > -7.5
Hence the solution of inequality is, x > -7.5.
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question 1 options: the organizers of a conference in the philadelphia convention center are evaluating the possibility of setting up a computer area where attendees can check their e-mail on computers provided by the organization. there will be one common queue for all computers and only one person uses a computer at a time. on average there are 15 attendee arrivals per hour, the standard deviation of the time between arrivals is 4, and the average time a person spends on the computer is 10 minutes (with standard deviation 3). to ensure that waiting times are not too long, the organizers what to ensure that the utilization of the computers doesn't exceed 90%. at least how many computers do they need to have?
They would need to have at least 3 computers.
Here, we have,
According to the given data we have the following:
Arrival rate = 15 persons per hour
Servicing rate = 60 / 10 = 6 persons per hour with one computer
Servicing rate with x number of computers = 6x per hour
Servicing rate at 90% utilisation = 6x (0.90) = 5.40x per hour
Therefore to service 13 arrivals per hour, we will need x computers
= 15/ 5.40 = 2.78
With 2 computers, the service capacity will be 12 per hour and the utilisation will be
15/12 = 125%,
which exceeds the organiser’s standard of 90% utilization.
With 3 computers, the service capacity increases to 18 persons per hour. If only 13 persons arrive, the utilisation rate will be
15 / 18 = 83.33%,
below the required maximum of 90% utilisation.
Therefore, the 2.78 can be rounded off to next whole number 3 computers.
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A bakery used 25% less butter this month than last month. The bakery used 240 kilograms of butter this month. How much did it use last month?
How do I solve both equations ?
Answer:
a) 56.25 mph
b) $1.59/lb
Step-by-step explanation:
The units of the "unit rate" tell you the math operation you need to perform.
a)Miles per hour (mi/h) is found by dividing miles by hours.
(450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h
b)
Dollars per pound ($/pound) is found by dividing dollars by pounds.
($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound
__
Additional comment
In the context of unit rates, "per" means "divided by."
What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.