Answer:
Multiply 4 to the terms inside the parentheses.
(12x+8)-2
Remove the parentheses and equate it to zero.
12x+8-2 = 0
Simplify
12x+6 = 0
Transpose 6 to the other side.
12x = -6
Divide bith sides by 12.
12x/12 = -6/12
Simplify.
x = -6/12 or -½
The frequency table shows the results of a survey that asked 175 high schoolers how they learn about news stories.
What is the frequency of a tenth grader getting their news from the Internet?
And please, maybe, explain how to get to the answer so I can figure this kind of stuff out?? Thanks so much if u will :) Max points!!
Answer:
hi i think the answer shouldbe 34/43 as its out of 43 and there is 34 people on the internet. I think this should be write but it may be wrong. if this is right please vote for brainliest. i hope my answer is right and this helps bye.
What is a rewritten form of the radical?
A. -8816
B. C. D. -90. 75
-98616
-2. 904
What is the y-intercept of 5x+4y=−40 ?
Responses
A- (−10,0)
B- (0,−10)
C- (8,−10)
D- (0,8)
The y-intercept of 5x+4y=-40 is (0,-10 )
A quadratic equation is expressed in its standard form as y=ax2+bx+c, where x and y are variables and a, b, and c are well-known constants. Substitute 0 for x in a quadratic equation and solve to obtain the y-intercept. The value of c in the equation is always the value of the y-intercept.
Given equation :
5x+4y=-40
To find x-intercept substitute 0 in y and solve for x
5x+4(0)=-40
5x=-40
x=8
so the x intercepts = (8,0)
To find y-intercept substitute 0 in x and solve for y
5(0)+4y=-40
4y=-40
y=-10
here the y-intercepts = (0,-10)
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find the two square roots of 400
Answer:
20 and -20
20^2 = 400
(-20)^2=400 since two negative is positive
Given the following sequence, which other representations below represent the SAME sequence?
Answer:
...
Step-by-step explanation:
3 raise to the power 0 + 2 raised to the power negative 2 . find this value leaving your answer in standard form.
Answer:
5
Step-by-step explanation:
3 to the power of 0 is 1
Why? n to the power of 0 is 1 independent of n
2 to the power of 2 is 4
Why? 2 × 2 = 4
So it's 1 + 4 = 5
I hope this helps you :)
if you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a nickel
Given how many coins are provided in the bag determines the chances for example of its a single nickel and a single quarter it'd be q50/n50 though if there's two nickels and one quarter there would be a n75/q25 chance.
A fair, 6-sided dice is rolled 50 times. Predict how many times it will land on a number greater than 3.
A. 1/2
B. 5
C. 25
D. 50
Answer:
C. 25
Step-by-step explanation:
We Know
A fair, 6-sided dice is rolled 50 times.
Predict how many times it will land on a number greater than 3.
There are 3 numbers greater than the number 3 are 4, 5, 6.
So, the ratio is 3/6 = 1/2
Then we take 1/2 and multiply by the number of rolls which is 50
1/2 x 50 = 25
So, the answer is C. 25
there are 5 red marbles, 6 yellow marbles, and 7 blue marbles. You pick exactly three marbles without replacement, one at a time. What is the probability that the first two marbles will be red and the third one will be blue?
The probability that the first two marbles will be red and the third one will be blue is 35/2448
The probability of picking a red marble on the first draw is 5/18, and given that the first marble was red, the probability of picking another red marble on the second draw is 4/17 (since there are now only 4 red marbles left out of 17 total marbles).
Finally, given that the first two marbles were red, the probability of picking a blue marble on the third draw is 7/16 (since there are now 7 blue marbles left out of 16 total marbles).
To find the overall probability of this sequence of events, we multiply the probabilities of each individual event.
Therefore, the probability of picking two red marbles and one blue marble in this specific order is:
(5/18) × (4/17)× (7/16)
= 0.0285
Therefore, the probability of this specific sequence of events is 0.0285
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uppose that a certain data set contains the variable HEIGHT (giving a person's height) and the variable GENDER (coded O=female, 1=male). Then the y-intercept of the regression equation predicting HEIGHT from GENDER is given by: Select one: a. how much shorter females are than males, on average. b. how much taller males are than females, on average. c. the average height of females in the data set. d. the average height of males in the data set. e. the proportion of females in the data set. f. the proportion of males in the data set. g. it is not appropriate to interpret the y-intercept in this case.
The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.
The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.
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You ate a cheeseburger for dinner and threw
away the leftovers in the garbage can. On the
first night, 4 flies came to eat the leftovers.
Each night after, the number of flies tripled.
How many flies will there be on the 9th night?
The number of flies there will be on the 9th night is 26,244.
On the night 1, there are four flies that come to eat the leftovers. Because the number of flies triples each night after, we can use exponential growth to find the number of flies on each night.
It can be found using the formula:
Flies on night n = 4×3ⁿ⁻¹
Therefore we plug in 9 for n to calculate the number of flies on the 9th night:
Flies on night 9 = 4×3⁹⁻¹
Flies on night 9 = 4×3⁸
Flies on night 9 = 4×6,561
Flies on night 9 = 26,244 flies on the 9th night.
Therefore, the number of flies there will be on the 9th night is 26,244.
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a tank's length is 4 feet longer than its width. the height is 2 feet more than the width. the volume of the tank is 105 cubic feet. what is the width of the tank?
The width of the tank, which has a length 4 feet longer than its width, the height is 2 feet more than the width which is three feet.
What is hit and trial method ?The Hit and Trial Method is a very useful to solve the roots in a equation. In this , substituting different values of the variable and checking the equality of LHS and RHS is the trial and error method.
We have a tank ( cuboid shape) with
length, width and height and volume of tank is 105 cubic feet. Let length , width and height of tank be "l" feet , "w " feet and "h" feet.
lenght, l = w + 4
height, h = w + 2
Volume of tank , V = l× h × w
=> (w + 4 )×w × (w + 2) = 105
=> w ( w² + 6w + 8) = 105
=> w³ + 6 w²+ 8 w = 105
Using the hit and trial method to solve the above cubic equation in one variable, w.
We get, w = 3
So, the required width is 3 feet .
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Find the slope of the line that passes through the points \left(10,8\right)(10,8) and \left(4,12\right)(4,12).
The slope of line passing through the points (10,8) and (4,12) is -2/3.
Define the term slope of the line?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically simply "rise over run" (change in y by the change in x)The formula for the slope is;
slope m = (y2 - y1)/(x2 - x1)
The given passing points are-
(x1, y1) = (10,8)
(x2, y2) = (4,12).
Thus,
m = (12 - 8)/(4 - 10)
m = 4/-6
m = - 2/3
Thus, the slope of the line passing through the points (10,8) and (4,12) is -2/3.
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The correct question is-
Find the slope of the line that passes through the points (10,8) and (4,12).
- 14x² + 7x - 6+ 6x- 9x + 16
Answer:
14xx2(square) + 7x - 6 + 6x - 9x + 16
14x2x(square) + 7x - 6 - 3x + 16
114x2(square) + 7x - 3x - 6 + 16
14x2(square) + 4x - 10
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 3X₁ +5X₂ +7X3 1X₁ +7X₂ + 4X3 ≤ 100 2X1 + 1X₂ + 7X3 ≤ 110 8X₁ + 4X₂ + 1X3 ≤ 100 X₁, X2, X3 20 (C₁: hours on machine 1) (C₂: hours on machine 2) (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: (round your response to two decimal places). X₁² = X₂ = (round your response to two decimal places). = X3² (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places). b) Machine 1 has Machine 2 has Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). dollars to the firm (round your response to two decimal places). c) An additional hour of time available for third machine, is worth d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to two decimal places).
a) Contribution (objective value) = $132.14
b) The firm earns $132.14 at the optimal solution.
c) An additional hour of time available for the third machine is worth $0.14 to the firm.
d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.
The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71
b) The number of unused hours at the ideal solution is:
Machine 1 still has 8.57 hours of time left.
There are no hours left on Machine 2 at the moment.
There are still 94.29 hours left on Machine 3.
c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is
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The mean weight of an adult is 68 kilograms with a standard deviation of 10 kilograms. If 128 adults are randomly selected, what is the probability that the sample mean would be greater than 70.3 kilograms?
The probability that the sample mean of 128 adults is more than 70.3 kilogrammes is about 0.08%.
We can utilise the Central Limit Theorem to tackle this problem, which stipulates that given a high sample size, the distribution of sample means will be approximately normal, regardless of the form of the population distribution. The sample means' mean will equal the population mean, and the sample means' standard deviation (also known as the standard error) will equal the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilogrammes and the population standard deviation is 10 kilogrammes, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes must be calculated.
To begin, we first compute the standard error of the sample means:
Standard Error = Standard Deviation of the Population / Sample Size
= 10 / √128
= 0.8839
The z-score formula may then be used to calculate the z-score corresponding to a sample mean of 70.3 kilogrammes:
(sample mean - population mean) / standard error = z
= (70.3 - 68) / 0.8839
= 3.15
We may calculate the likelihood that the z-score is greater than 3.15 using a conventional normal distribution table or a calculator. Because the standard normal distribution is symmetrical, the likelihood of the z-score being more than 3.15 is the same as the likelihood of the z-score being less than -3.15.
According to a conventional normal distribution table, the probability associated with a z-score of -3.15 is roughly 0.0008.
As a result, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes is roughly 0.0008, or 0.08%.
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The probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
To solve this problem, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sample means will be equal to the population mean, and the standard deviation of the sample means (also known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.
Given that the population mean is 68 kilograms and the population standard deviation is 10 kilograms, we need to calculate the probability that the sample mean of 128 adults is greater than 70.3 kilograms.
First, we need to calculate the standard error of the sample means:
Standard Error = Population Standard Deviation / √Sample Size
= 10 / √128
= 0.8839
Next, we can use the z-score formula to find the z-score corresponding to a sample mean of 70.3 kilograms:
z = (sample mean - population mean) / standard error
= (70.3 - 68) / 0.8839
= 3.15
Using a standard normal distribution table or a calculator, we can find the probability that the z-score is greater than 3.15. Since the standard normal distribution is symmetrical, the probability that the z-score is greater than 3.15 is the same as the probability that the z-score is less than -3.15.
From a standard normal distribution table, we find that the probability corresponding to a z-score of -3.15 is approximately 0.0008.
Therefore, the probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.
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If a car is moving with an average velocity of 25 m/s how long will it take the car to travel 1500m
Answer:
60m/s is correct so I hope that helps
Evaluate, in spherical coordinates, the triple integral of f(rho,θ,ϕ)=cosϕ, over the region 0≤θ≤2π, 0≤ϕ≤π/4, 3≤rho≤4
In the spherical coordinates, the triple integral of f(rho,θ,ϕ)=cosϕ, over the region 0≤θ≤2π, 0≤ϕ≤π/4, 3≤rho≤4 is \(79\pi /3\).
Spherical coordinates of the gadget denoted as (r, θ, Φ) is the coordinate machine specifically used in three-dimensional systems. In 3 dimensional area, the round coordinate gadget is used for finding the surface region. those coordinates specify 3 numbers: radial distance, polar angles, and azimuthal perspective.
To convert a factor from spherical coordinates to Cartesian coordinates, use equations x=ρsinφcosθ,y=ρsinφsinθ, and z=ρcosφ. To transform a factor from Cartesian coordinates to spherical coordinates, use equations ρ2=x2+y2+z2,tanθ=yx, and φ=arccos(z√x2+y2+z2).
Consider the function:
f(0,0,0)=cos
35057
Spherical Coordinates:
x=psin cos
y=psin sine
z = p cos
DV = p² sin dpdøde
1=[[[psin p cos dpdøde
003
= "deƒân (20)deſp°dp
-(2x) (1-1) (343-27)
12
pm (316
34
3
79/3
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What is 6.4n - 10=4.4n +6
The value of n for the expression will be equal to 8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression 6.4n - 10 = 4.4n +6 will be solved as below,
6.4n - 10=4.4n +6
6.4n - 4.4n = 10 + 6
2n = 16
n = 16 / 2
n = 8
Therefore, the value of n for the expression will be equal to 8.
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jamal measured the height of a flower growing in his garden at the beginning of the month the flowerwas 3 1/4 inches tall the flower grew h inches during the month at the end of the month it 4 1/8 inches tall what equation models this situation
The equation that models the situation is 33 / 4 = h + 13 / 4.
How to find the equation that models a situation?Jamal measured the height of a flower growing in his garden at the beginning of the month. The flower was 3 1 / 4 inches tall . The flower grew h inches during the month.
At the end of the month it was 4 1 / 8 inches tall.
Hence, the equation to model the situation can be represented as follows:
Let's convert the mixed fractions to improper fractions.
3 1 / 4 inches = 13 / 4 inches
4 1 / 8 inches = 33 / 4 inches
Hence, the equation is as follows:
33 / 4 = h + 13 / 4
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Which angle is an obtuse angle? (1 point)
Figure A is an angle measuring ninety degrees, Figure B is an angle measuring between zero and eighty nine degrees, Figure C is an angle measuring between ninety one and one hundred seventy nine degrees, Figure D is an angle measuring one hundred eighty degrees.
a
Figure A
b
Figure B
c
Figure C
d
Figure D
Figure C is the only angle that falls within the Range of 91 to 179 degrees.
An obtuse angle is an angle that measures between 91 and 179 degrees. Therefore, the correct answer is (c) Figure C. An obtuse angle is larger than a right angle (90 degrees) and smaller than a straight angle (180 degrees).
Figure A is a right angle measuring 90 degrees, which is smaller than an obtuse angle. Figure B is an acute angle measuring less than 90 degrees, which is also smaller than an obtuse angle. Figure D is a straight angle measuring 180 degrees, which is larger than an obtuse angle.
Figure C is the only angle that falls within the range of 91 to 179 degrees, making it the correct answer to the question.
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solve 3^x = 4, round to the nearest thousandth
The solution of the exponential equation 3ˣ = 4 is x = 1.262
How to solve the exponential equation?Here we want to solve the exponential equation:
\(3^x = 4\)
To do so, we can apply the natural logarithm in both sides of the equation, then we will get:
\(ln(3^x) = ln(4)\)
Now we can use the logarithmic property to write the exponent as a coefficient.
\(x*ln(3) = ln(4)\\\)
Now we can solve the equation for the variable x, by dividing both sides by the natural logarithm of 3.
\(x = ln(4)/ln(3)\)
Now we can take that quotient using a calculator or a table to get that:
x = 1.262
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PLEASE HELP its due tn
Step-by-step explanation:
Finding slope, m, as follows
\(m = \frac{y2 - y1}{x2 - x1} \)
This is where we choose two random (x,y) coordinates
Let's use (8,19) and (6,13). Now we plug these numbers into the equation
\(m = \frac{19 - 13}{8 - 6} = \frac{6}{2} = 3\)
Concluding m = 3
20. If g(x) = x^3+9/3x evaluate g(-3)
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?
Answer:
Step-by-step explanation:
What values x and y prove that triangles ABC ~= BAD?
By using congruency, it can be calculated that
x = 6, y = 5
What are congruent triangles?
Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same. There are different axioms of congruency. They are-
AAS axiom, SAS axiom, ASA axiom, SSS axiom, RHS axiom
It is given that \(\Delta\) ABC \(\cong\) \(\Delta\) BAD
So \(\angle\)CAB = \(\angle\)ABD [Corrosponding parts of congruent triangles are congruent]
4y = 20
y = \(\frac{20}{4}\\\)
y = 5
Also,
AC = BD [Corrosponding parts of congruent triangles are congruent]
5x - 3 = 3x + 9
5x - 3x = 9 + 3
2x = 12
x = \(\frac{12}{2}\)
x = 6
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AMC 10/12 Student Practice Questions
Guide to Student Practice Questions
Each of the following four large congruent squares is
subdivided into combinations of congruent triangles or
rectangles and is partially shaded. What percent of the total
area is partially shaded?
I
The original problem
and choices from the
2011 AMC 8 contest
(A) 12 (B) 20
(C) 25 (D) 33 (E) 37
Answer:
\(\mathrm{C.\:}25\)
Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are \(16\) of these parts in total. Because each of these parts make up \(\frac{1}{4}\) of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of \(2\) parts.
The top right and bottom left have \(0.5\) and \(1.5\) parts shaded, respectively, for a total of \(2\) parts.
Therefore, in total, there are \(2+2=4\) parts shaded out of \(16\) total parts.
Thus, the percentage of the total area that is shaded is:
\(\frac{4}{16}=\frac{1}{4}=\fbox{$25\%$}\).
a class has 30 students. what is the probability that at least two people in this class share the same birthday?
To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.
If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:
365/365 * 364/365 * 363/365 * ... * 336/365
This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).
Calculating this probability gives us:
(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
So the probability that no two people in the class share the same birthday is approximately 0.2937.
Using the complement rule, the probability that at least two people in the class share the same birthday is:
1 - 0.2937 = 0.7063
Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.
At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10.Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt?
According to the question we have approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.
To answer this question, we will use the normal distribution formula and z-score.
First, we need to find the z-score for the lower limit of $1.20:
z = (1.20 - 1.50) / 0.10 = -3
Next, we need to find the z-score for the upper limit of $1.80:
z = (1.80 - 1.50) / 0.10 = 3
Now, we can use a z-table to find the area under the curve between these two z-scores.
The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.
To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:
0.9987 - 0.0013 = 0.9974
Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.
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What is the area of Triangle EFG? Please help- Geometry isn't my best subject. Immediate answers are appreciated.
Answer:
12
Step-by-step explanation:
(5×6)-½(3×6 + 2×4 + 2×5)
=30 - ½(18+8+10)
= 30 - ½(36)
=30-18= 12