Answer:
x=510
Step-by-step explanation:
You can first combine like terms to get x/17=30
The inverse operation of division is multiplication so you can multiply by 17 on both sides to get your final answer: x=510
Which of these equations are consistent and possibly true? 1. A−B−C=0 2. C=−7.15m 3. ∣A∣−∣B∣=−2.9m 4. (42.1m)x^=(3.2m)y^ 5. Ay<0
equations 1, 2, 4, and 5 are consistent and possibly true, while equation 3 is not consistent.
Let's analyze each equation to determine if they are consistent and possibly true:
1. A - B - C = 0
This equation states that the difference between A, B, and C is zero. It is consistent and possibly true if A = B + C.
2. C = -7.15m
This equation states that the value of C is equal to -7.15m. It is consistent and possibly true if C is indeed equal to -7.15m.
3. |A| - |B| = -2.9m
This equation states that the absolute value of A minus the absolute value of B is equal to -2.9m. It is not consistent because the absolute value of a number is always non-negative, so the left-hand side of the equation can never be negative.
4. (42.1m) * \(\hat{x}\) = (3.2m) * \(\hat{y}\)
This equation states that the product of 42.1m and \(\hat{x}\) (unit vector in the x-direction) is equal to the product of 3.2m and \(\hat{y}\) (unit vector in the y-direction). It is consistent and possibly true if the magnitudes of \(\hat{x}\) and \(\hat{y}\) are appropriately related to satisfy this equation.
5. Ay < 0
This equation states that the y-component of vector A is less than zero. It is consistent and possibly true if the y-component of vector A is indeed negative.
In summary, equations 1, 2, 4, and 5 are consistent and possibly true, while equation 3 is not consistent.
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Among the given equations, the consistent and possibly true equations are:
A - B - C = 0 (Equation 1)
C = -7.15m (Equation 2)
Ay < 0 (Equation 5)
Let's analyze each equation to determine which ones are consistent and possibly true:
1. A - B - C = 0:
This equation represents the sum of three variables, A, B, and C, equal to zero. Without any further information about the variables, we cannot determine its consistency or truth.
2. C = -7.15m:
This equation sets the variable C equal to -7.15m. It is consistent and true if the value of C is indeed -7.15m.
3. |A| - |B| = -2.9m:
This equation states the absolute value of A minus the absolute value of B equals -2.9m. However, the absolute value of a quantity is always positive, so it cannot be negative. Therefore, this equation is inconsistent and unlikely to be true.
4. (42.1m)x^ = (3.2m)y^:
This equation equates a scalar quantity, 42.1m, multiplied by the unit vector x^, with a scalar quantity, 3.2m, multiplied by the unit vector y^. Since x^ and y^ are perpendicular unit vectors, it is not possible for them to be equal. Therefore, this equation is inconsistent and unlikely to be true.
5. Ay < 0:
This equation states that the y-component of vector A is less than zero. It is consistent and possibly true if the y-component of A is indeed negative.
Based on the analysis above, the equations that are consistent and possibly true are equation 2 (C = -7.15m) and equation 5 (Ay < 0).
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A rock climber completing a two-minute training session climbed 12 meters higher on the wall during the second minute of the session. at the end of the two-minute session, the climber was back to the same spot she was at when the session started. what value represents the climber's change in elevation during the first minute of the training session
The value represents the climber's change in elevation during the first minute of the training session is 1/5.
Given,
During the second minute of a two-minute training session, a rock climber completed a 12-meter ascent up the wall. The climber returned to the identical location she had been in at the beginning of the two-minute session.
Let x be the distance climbed by the climber is x m
During the first minutes(60 seconds): distance climbed =\(\frac{x}{60}\)
In the 2nd minute, they climbed 12 m higher than in the 1st minute.
Now, the distance climbed by the climbed in the Second minute = \(\frac{x+12}{60}\)
Now, the change in the elevation during the first minute of the training session= \(\frac{x+12}{60}-\frac{x}{60} = \frac{12}{60}=\frac{2}{10}=\frac{1}{5}\)
Hence, the value represents the climber's change in elevation during the first minute of the training session is \(\frac{1}{5}\)
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Assume that event a occurs with probability 0.6 and event b does not occur with probability 0.6. assume that a and b are disjoint events. the probability that either event occurs (a or b) is:_________
Using Venn probabilities, it is found that the probability that either event occurs (a or b) is: 1.
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
P(A or B) = P(A) + P(B) - P(A and B)
In this problem, we have that the probabilities are given as follows:
P(A) = 0.6.P(B) = 0.4.P(A and B) = 0, as they are disjoint.Hence the probability that either occurs is:
P(A or B) = P(A) + P(B) - P(A and B) = 0.6 + 0.4 - 0 = 1.
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find the most general form of the antiderivative of f(t) = e^(7 t).
The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.
The antiderivative of f(t) = e^(7t) is given as F(t).
The most general form of the antiderivative of f(t) = e^(7 t) is as follows:
F(t) = (1/7)e^(7t) + Cwhere C is the constant of integration.
The constant of integration arises because there is an infinite number of functions whose derivative is e^(7t), and so we must add a constant to our antiderivative to include all of them.
In this case, the constant of integration is represented by C.
The antiderivative of a function is the opposite of its derivative. The antiderivative is also known as an indefinite integral, while the definite integral gives the area under the curve of a function.
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please help me with math!!!
Answer:
Step-by-step explanation:
To move all the constants to the right side: Subtract 0.4 from both sides
-9x = 3.6
To isolate the variable: Divide both sides of equation by -9
x = -3.6/9
Solution of the equation: -0.4
what additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria? question 10 options: a) ∠f ≅ ∠h b) ≅ c) ≅ d) ||
The additional information that would allow us to prove the quadrilateral is a parallelogram according to the minimum criteria is option d) || (parallel).
In order to prove that a quadrilateral is a parallelogram, the minimum criteria require that opposite sides are parallel. From the given options, option d) || (parallel) is the only choice that directly relates to the parallelism of the sides.
If we have information indicating that the opposite sides of the quadrilateral are parallel, then we can conclude that the quadrilateral is a parallelogram. This is because one of the defining properties of a parallelogram is that its opposite sides are parallel.
The options a) ∠f ≅ ∠h, b) ≅, and c) ≅ do not provide sufficient information to establish the parallelism of the sides. Without information about angles or congruent sides, we cannot make a definitive conclusion about the quadrilateral being a parallelogram.
Therefore, option d) || (parallel) is the correct choice for proving that the quadrilateral is a parallelogram according to the minimum criteria.
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Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description
Answer:
See attached
Step-by-step explanation:
The answer is pictured below
Evaluate the expression.
5 + 3 × (5 - 2)
First do parentheses
5 + 3 x (3)
Then do multiplication
5 + 9
add
14
Hope this helps,
Jeron
:- )
(p.s., maybe brainliest if I really helped?? :)))) )
14
pemdas
5 + 3(3) = 14
Four interior angles of a 7 sided polygon are equal, and the others add up to 120 find the size of the equal angle?
Answer: 195°
Step-by-step explanation:
The sum of interior angles can be found by using this formula
(n - 2)180
(7 - 5)180
5 * 180
900 = sum of interior angles
900 - 120 = 780
Now we divide it by 4
780 ÷ 4 = 195°
The equal angles is 195°
How do you find the center and scale factor of a dilation?
Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.
Explanation:
Center of a dilation is considered as a fixed point in the given plane.Around the center point of dilation all the points of the given and new figure expanded or contracts.Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.If new or old images not defined then ratio of larger to the smaller image gives the scale factor.Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.
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Help please the problem is in the picture below.
Answer:
Step-by-step explanation:
C=pi times 4
C= 3.14 times 4
C=12.56
the figure shown represents a plot of land and is drawn using a scale in which 1 cm equals 2 miles. one square mile is 640 acres. how large is the actual plot of land, in acres?
The area of the actual plot of land, in acres is given by 320000 acres.
Here given the figure is a Trapezium.
We know that the area of the Trapezium with parallel sides of length ' a ' and ' b ' and height between them is ' d ' is given by = (1/2)*(1 + b)*d
We know that, 1 cm = 2 miles.
So, 10 cm = 20 miles
15 cm = 15*2 = 30 miles
Here in given trapezium the length of parallel sides are 10 cm and 15 cm. that is 20 miles and 30 miles respectively.
Height between them is = 10 cm = 20 miles.
So the area of the land is = (1/2)*(20 + 30)*20 = 50*10 = 500 square miles.
we know that 1 square miles = 640 acres
So the area in acres = 500*640 = 320000 acres.
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The question is incomplete. The complete question will be -
"The figure shown represents a plot of land and is drawn using a scale in which 1 cm equals 2 miles. one square mile is 640 acres. how large is the actual plot of land, in acres?"
How many bagels can you buy for $50?
Answer: about 120??
Step-by-step explanation: pls leave a thanks if helped <3
Answer: 120 bagels
Step-by-step explanation:
$50/$5 = 10 dozens of bagels
10 dozens x 12 = 120 bagels in total
Evaluate each expression for the given value of the variable. x+5 x-x-9 ; x=-2
For x = -2, the evaluated values are 3 and -9 for the expressions x + 5 and x - x - 9, respectively.
To evaluate the expressions for the given value of the variable (x = -2):
Evaluate x + 5:
Substitute x = -2 into the expression:
(-2) + 5 = 3. The result is 3.
Evaluate x - x - 9:
Substitute x = -2 into the expression:
(-2) - (-2) - 9 = -2 + 2 - 9 = -9. The result is -9.
Therefore, for x = -2, the evaluated values are:
x + 5 = 3
x - x - 9 = -9
In the first expression, x + 5, when x is substituted with -2, the result is 3. This means that when x is -2, the value of the expression is 3.
In the second expression, x - x - 9, when x is substituted with -2, the result is -9. This means that when x is -2, the value of the expression is -9.
Hence, for x = -2, the evaluated values are 3 and -9 for the respective expressions.
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HELP ME PLEASE!!!! URGENT!!!
Answer:
Step-by-step explanation:
f(x)=4x+1
g(x) = x^2-5
(f*g)(x) = 4x^3+x^2-20x-5
The figure is a square. Its diagonals meet to form four right angles. What is the approximate value of x? 2. 8 units 3. 3 units 4. 0 units 5. 7 units.
Since the diagonals of a square are equal, they bisect each other and form 4 right angles.
Therefore, we have two congruent right triangles with legs x/2 and hypotenuse x. Using the Pythagorean theorem, we can solve for x:
(x/2)^2 + (x/2)^2 = x^2
2(x/2)^2 = x^2
x^2/2 = x^2
1/2 = 1
This leads to an absurdity, so there is no solution for x that satisfies the given conditions. Therefore, the answer is 4.0 Units.
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You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level?
Answer:
There is not enough evidence to support the claim that drug is effective at 1%
Step-by-step explanation:
For this we use the pored test as we have dependent test;
Difference :
10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0
Hypothesis :
H0 : μd = 0
H0 : μd ≠ 0
The mean of d, dbar = Σd / n = 44 / 18 = 2.44
The standard deviation, Sd = 4.45 (using calculator)
The test statistic, T : dbar / (Sd/√n)
T = 2.44 / (4.45/√18)
T = 2.44 / 1.0488750
T = 2.326
Degree of freedom, df = n - 1 ; 18 - 1 = 17
The Pvalue = 0.0326
α = 0.01
Since Pvalue < α ; we fail to reject H0
Find two negative angles between −720° and 0° that are coterminal to 12°. Seperate your answers with a comma. degrees
-348°, -708° are the two negative angles coterminal to 12° within −720° and 0°.
To find two negative angles between −720° and 0° that are coterminal to 12°, we can utilize the concept of coterminal angles. Coterminal angles have the same initial and terminal sides but differ by a multiple of 360°.
Starting with 12°, we can subtract multiples of 360° until we reach the desired range.
Subtracting 360° from 12° gives us -348°. Continuing this process and subtracting another 360° from -348° yields -708°.
Both -348° and -708° fall within the range of −720° and 0°, making them the two negative coterminal angles to 12° within the given range.
Therefore, the solution is -348° and -708°.
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Using +- 3o limits, calculate the LCL and UCL for these data A) UCL=7.437;LCL=−2.237 B) ∪CL=7.82;LCL=0 C) UCL=8.382;LCL=0 D) UCL=7.82;LCL=−2.22 E) UCL=9.112;LCL=0
The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.
The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.
In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.
To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.
The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.
By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.
To calculate the UCL and LCL using ±3σ limits, we use the following formulas:
UCL = Mean + 3σ
LCL = Mean - 3σ
Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237
B) For data set B:
UCL = 7.82
LCL = 0
C) For data set C:
UCL = 8.382
LCL = 0
D) For data set D:
UCL = 7.82
LCL = -2.22
E) For data set E:
UCL = 9.112
LCL = 0
The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.
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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?
A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.
Y = 4x -2 and y = x +3
Answer:
(0.5,2) and (-3,3)
Step-by-step explanation:
Answer:
Y = 4x -2 is (0.5,2)
y = x +3 is (-3,3)
Xyz corporatio nis selling 100000 shares of common stock through an underwriter at $15 per share, xyz corporation will receive?
The XYZ corporation will receive $1500000 for all the shares sold.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given: Cost of 1 share = $15
To find: Money received on selling 100000 shares.
Finding:
By unitary method,
Money received on selling 1 share = $15
Money received on selling 100000 shares = 15(100000) = $1500000
Hence, The XYZ corporation will receive $1500000 for all the shares sold.
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The graph on the right shows two cyclists' journeys.
the coordinates a) Which cyclist had the highest maximum speed?
b) Find the difference in the speeds of the cyclists
during the first 15 minutes of their journeys.
which two fractions are equivelent to 1 over 4
Answer:
2/8 and 3/12
Step-by-step explanation:
You multiply both the numerator and denominator by the same number to get equivalent fractions.
1 x 2
4 x 2
= 2/8
and
1 x 3
4 x 3
= 3/12
what is the slope intercept for the line below?
Answer:
A
Step-by-step explanation:
Its a positive slope and you go up 2 and to the right 5
Is â ADC â â ABC Why?
The proofing that Triangle CAD equals triangle CBD is given below.
What is a triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to a 180 degree angle.
Given,
AC is the common hypotenuse. ∠B=∠D=90°.
To prove,
∠CAD=∠CBD
Since, ∠ABC and ∠ADC are 90°, these angles are in the semi-circle. lThus, both the triangles are lying in the semi-circle and AC is the diameter of the circle.
⇒ Points A,B,C and D are concyclic.
Thus, CD is the chord.
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Complete question
ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD=∠CBD.
Suppoe you end aboui 12 text meaqe a day, arnd your uider iter erid
more text meage than you do. Together, you end a total of about 26 meage per day. About how many text meage doe he end a day? Write an equation and olve for the unknown value
the equation will be 26 = 12 + x and the sister sends 14 message per day
How to form and solve an equation?
When we are presented with a mathematical situation that is, or can be, represented using algebraic expressions, we form and solve equations. The information from the scenario and the algebraic expressions may be combined to create an equation. The equation may then be solved to obtain the answer.
To accomplish this, we must be able to comprehend the issue and represent it in writing using algebraic equations.
For instance,
A rectangle has sides that are (2x-3) cm and (3x+1) cm wide.
Its circumference is P cm
Create an expression for P using x.
The rectangle's perimeter equals the total length of its sides.
P=2(3x+1)+2(2x-3)
P= 6x+2+4x-6
P=10x-4
When P=36, what does x mean?
if P = 36 cm
then 10x-4 = 36
10x = 40
x = 40 cm
Total number of messages sent by me per day = 12
Let the total number of messages sent by my sister per day = 12 + x
Total number of messages sent by us per day = 26
So to find the number of messages sent by my sister
= total number of messages sent by us per day - total number of messages sent by me
= 26 - 12
= 14
Hence, my sister sends 14 messages per day.
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A town's yearly snowfall in inches over a 10-year period is recorded in this table. what is the mean of the snowfall amounts? 15.0 in. 17.0 in. 17.9 in. 18.9 in
The mean is said to be an arithmetic mean. The mean of the snowfall is 17.9 inches then the correct option is C.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics. It is the ratio of the sum of the observation to the total number of observations.
A town's yearly snowfall in inches over a 10-year period is recorded in this table.
Year Snowfall in inches
1997 15
1998 11
1999 18
2000 25
2001 13
2002 20
2003 16
2004 28
2005 15
2006 18
Then the mean will be
\(\rm Mean = \dfrac{15+11+18+25+13+20+16+28+15+18}{10}\\\\Mean = \dfrac{179}{10}\\\\Mean = 17.9\)
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Answer:
C
Step-by-step explanation:
17.9
And here are the answer choices for the question, Heather.
L = 12
L = 8
L = 6
L = 6/5
Answer:
L = 6 units
Step-by-step explanation:
The problem is stating that the perimeter and area are equal to each other. We can use the known equations, plug in the value of 3 it gives us for the width, and solve for the length.
P = 2L + 2W
A = L * W
-
P = 2L + 2(3)
A = L * 3
We know that the perimeter is equal to the area, so I am going to set the two equations I have equal to each other and solve for L, or the length.
P = 2L + 2(3)
A = L * 3
-
2L + 2(3) = L * 3
2L + 6 = 3L - In this step I subtract 2L from both sides of the equation
6 = L
L = 6 units
Answer:
L = 6 units
Step-by-step explanation:
It is given that:
P(rectangle) = A(rectangle)
-> 2(l + w) = lw
-> 2(l + 3) =l(3)
-> 2l + 6 = 3l
-> 6 = 3l - 2l
-> 6 = l
-> l = 6 units
Thus, the length of the rectangle is 6 units.
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Two vectors A and B are added together to give a resultant vector R: R = A + B. The magnitudes of A and B are 3 m and 8 m, respectively, but the vectors can have any orientation.
What is (a) the maximum possible value and (b) the minimum possible value for the magnitude of R?
(a) The maximum possible value for the magnitude of R occurs when the vectors A and B are aligned in the same direction. In this case, the magnitude of R is the sum of the magnitudes of A and B: R_max = A + B = 3 m + 8 m = 11 m.
(b) The minimum possible value for the magnitude of R occurs when the vectors A and B are aligned in the opposite direction. In this case, the magnitude of R is the absolute difference between the magnitudes of A and B: R_min = |A - B| = |3 m - 8 m| = |-5 m| = 5 m.
the maximum possible value for the magnitude of R is 11 m, and the minimum possible value is 5 m.
what is direction?
In the context of various fields, the term "direction" can have different meanings:
Physics and Geometry: Direction refers to the orientation or path along which an object or phenomenon is moving or pointing. It specifies the line or vector in which an object is traveling or the position of one point relative to another. In physics, direction is often described using angles, coordinates, or vectors.
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