What is the solution for x in the equation?
-x+
+ ² = 2x - ²/5/
O A.
x=
OB.
O C.
O D.
x=
x=
x=
43
1
314
43
314
Answers
The solution for x in the equation -x++² = 2x - ²/5 is x = -0.68.
To solve this equation, we can first simplify the left side of the equation by using the order of operations. The ++² means we first add 1 to the value of x, then square it. So, we can rewrite the left side as -(x+1)².
Substituting this into the original equation, we get:
-(x+1)² = 2x - ²/5
Expanding the left side and simplifying, we get:
-x² - 2x - 1 = 2x - ²/5
Rearranging and combining like terms, we get:
-x² - 4x + 1/5 = 0
Multiplying both sides by -1 and rearranging again, we get:
x² + 4x - 1/5 = 0
Using the quadratic formula, we can solve for x and obtain:
x = (-4 ± √(4² + 4(1/5)))/2
x = (-4 ± √(81/5))/2
x = (-4 ± 9/√5)/2
x = -2 ± (9√5)/10
However, we need to reject the positive solution x = 1.32 since it does not satisfy the original equation. Thus, the solution for x is x = -0.68.
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Related Questions
Slove
.........................................................................
Answers
Answer:
2/9
Step-by-step explanation:
hope this helps!
Answer:
The answer is 2/9
Step-by-step explanation:
can you find the probability of one thing happening before another based on their expected time until occurance
Answers
Yes, we can determine the probability of one thing happening before another based on their expected time to occur.
A coin has two sides: one side ("heads") is side A and the other ("tails") is side B. A coin is tossed into the air and the question is what are the chances, the "probability" if you want it to land on side A. The probability of an event occurring describes the number of chances that the event occurred. The total probability of hitting A before B is the sum: P(A before B) = p + rp + r² + r³p + r⁴p + … = p[1 + r + r² + r³ + r⁴ + … ] and this determines the result. Thus, it is possible to determine the probability of one thing happening before another, based on their expected time to occur.
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How do you find the center and scale factor of a dilation?
Answers
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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what is the probability that one randomly selected city's waterway will have less than 9.6 ppm pollutants?
Answers
The probability of a random city having less than 9.6 ppm of pollutants is(from the z-table) is 0.7881 or 78.81%.
The probability that one randomly selected city's waterway will have less than 9.6 ppm pollutants is given below:
The statement mentioned above can be calculated using the z-score formula which helps us determine how many standard deviations a value lies above or below the mean. It's the difference between the observed value and the mean value, divided by the standard deviation.
So, let's say the mean concentration of pollutants in a random city's waterway is 7 ppm and the standard deviation is 3 ppm. The z-score is calculated as follows:
Z = (9.6 - 7) / 3 = 0.8
Therefore, the probability of a random city having less than 9.6 ppm of pollutants is(from the z-table) is 0.7881 or 78.81%.
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if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term
Answers
Answer:
-4, -1, 4
95
Step-by-step explanation:
when n is 1
n² - 5 = 1² - 5
1 - 5 = -4
when n is 2
n² - 5 = 2² - 5
4 - 5 = -1
when n is 3
n² -5 = 3² - 5
9 - 5 = 4
10th term, when n is 10
n² - 5 = 10² - 5
100 - 5 = 95
Two weeks ago, Andrew
cans of ping pong balls. Last
week, he bought 4 cans of ping
pong balls. This week, he bought
2 cans of ping pong balls. The
ping pong balls cost d dollars per
can. Write an expression in
simplest form that represents the
total amount that Andrea spent.
Answers
The expression in simplest form that represents the
total amount that Andrew spent would be = $8d
What are simple forms of representation of expressions?The simple forms of representation of expression shows that all the values of that expression are in its simplest form.
In Andrew cans of ping pong balls,
Last week he bought = 4 cans
This week he bought = 2 cans
The cost of ping pong balls = d dollars per
can..
The total amount that Andrew spent would be;
= d × ( 4+2)
= $8d
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Fill the gaps below:
Answers
The slope of the line passing through the points (5, -2) and (7, 6) is 4.
The slope of a line is a measure of its steepness and is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.
The slope formula expresses this relationship in algebraic terms.
In the given problem, we are asked to find the slope of the line passing through the points (5, -2) and (7, 6).
To use the slope formula, we need to identify the coordinates of the two points and plug them into the formula.
Using the coordinates of the given points, we can label them as follows:
(x1, y1) = (5, -2) and (x2, y2) = (7, 6).
Then, we can plug these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (6 - (-2))/(7 - 5)
m = \(\frac{8}{2}\)
m = 4
Therefore,
The line passing through the slope points (5, -2) and (7, 6) is 4. We can interpret this as meaning that for every unit of change in the x-coordinate, the y-coordinate increases by 4 units.
If the slope were negative, we would know that the line is decreasing as we move from left to right, and if the slope were zero, we would know that the line is horizontal.
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I need domain and range
Answers
Answer:
-3 and infinity
Step-by-step explanation:
rotate point x (0,0)) 270 degrees clockwise about the origin then T<3,5>
Answers
here this probally will help
Answer:
5, 3
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The number goes up 8 each time. The graph also shows that it is proportional it goes thru the origin
Step-by-step explanation:
How many cups are needed for 9 pies
Answers
Answer:
4/5
Step-by-step explanation:
Is this math. Or simple cooking directions
A group of 4 friends paid a total of $50.24 for tickets to a museum. Each friend paid the same amount for a ticket. Solve this and type how you got this answer in a paragraph
Answers
Answer:
$12.56
Step-by-step explanation:
$50.24 divided by the 4 friends = $12.56
I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.
Each friend paid $12.56 for a ticket to the museum this was calculated by dividing the total cost of $50.24 by the number of friends, which is 4. So, they each paid an equal amount of $12.56.
To find out how much each friend paid for a ticket to the museum, we can divide the total amount they paid by the number of friends.
Given that there are 4 friends and the total cost is $50.24, we simply divide $50.24 by 4:
Amount each friend paid = Total cost / Number of friends
Amount each friend paid = $50.24 / 4
Calculating this division:
Amount each friend paid = $12.56
Therefore, each friend paid $12.56 for a ticket to the museum.
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An object is moving with velocity (in ft/sec) v(t)=t2−1t−12
Find the displacement and total distance travelled from t=0 to t=6
Answers
To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.
The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.
The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.
Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].
To find the displacement, we integrate the velocity function as follows:
Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.
To find the total distance traveled, we integrate the absolute value of the velocity function as follows:
Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.
By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.
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Find CDB. (Show Work)
Answers
Answers and steps in pictures.
A six-pole motor has a coil span of ______. A) 60 B) 90 C) 120 D) 180.
Answers
The correct option: A) 60 . Thus, the coil span of a six-pole motor is 60 degrees, which means that the coil sides connected to the same commutator segment are 60 electrical degrees apart.
The coil span of a motor is the distance between the two coil sides that are connected to the same commutator segment.
The coil span of a six-pole motor can be calculated by dividing the electrical angle of the motor by the number of poles. Since a full electrical cycle is equal to 360 degrees, the electrical angle of a six-pole motor is 360/6 = 60 degrees. Therefore, the coil span of a six-pole motor is 60 degrees.The answer to the question is A) 60. This means that the coil sides connected to the same commutator segment are 60 electrical degrees apart. It is important to note that the coil span affects the motor's performance, as it determines the back electromotive force (EMF) and the torque produced by the motor. A smaller coil span results in a higher back EMF and lower torque, while a larger coil span results in a lower back EMF and higher torque.In conclusion, the coil span of a six-pole motor is 60 degrees, which means that the coil sides connected to the same commutator segment are 60 electrical degrees apart. Understanding the coil span is crucial for designing and analyzing motor performance.Know more about the commutator segment
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There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 and a multiple of 2?
Answers
Answer:
1/12
Step-by-step explanation:
There is only number between 1 and 12 that is both a multiple of 5 and 2, that being 10. 10 has an equal chance out of all the other numbers that can be spun, and there are 12 numbers, so 10 has a 1/12 chance of being spun.
Please find work for surface area you’ll get brainliest!
Answers
Answer:
surface area of real-world figure (the image) = 325 cm²
Step-by-step explanation:
The scale-up factor is 2.5. The given pre-image side is 2 cm, the image side is 5, therefore 5/2 = 2.5.
Area is always two dimensions multiplied together (length x width, height x width, length x height). These dimensions are both being multiplied by the same scale factor, 2.5, therefore the surface area is multiplied by the scale factor squared
2.5² = 6.25
52 cm² x 2.5² = 52 cm² x 6.25 = 325 cm²
A major stadium has 45,000 seats. If baseball fans have bought of the seats for the next game, how many seats are available?
Answers
Answer: 16875
Step-by-step explanation:
Here's the complete question:
A major stadium has 45,000 seats. If baseball fans have bought 5/8 of the seats for the next game, how many seats are available?
First, we need to calculate the number of seats biught. This will be:
= 5/8 × 45000
= 28125
The number of seats available will then be:
= 45000 - 28125
= 16875
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is __
O 31.6% O 46.3% O 44.5% O43.6%
Answers
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.
The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:
Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)
where
P = Sample proportion
Q = 1 - P
n = Sample Size
Z Score is obtained from the Z-Table where the confidence level is given.
To obtain the upper limit, the following formula should be used:
Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)
Substitute the given values of the question into the formula:
P = 114/293 = 0.3891
Q = 1 - 0.3891 = 0.6109
n = 293
The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:
Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]
≈ 0.3891 + 1.645 x 0.0467
≈ 0.3891 + 0.07701
≈ 0.4661 = 46.3%
Therefore, the answer is 46.3%.
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Raj works at a candy store. He mixes M&Ms with Reese's pieces to make a 6 pound bag of candy that costs $10.50
If jelly M&Ms cost $1.40 per pound and Reese's pieces costs $2.00 per pound, how many pounds of each type of candy are in the mix?
Answers
the weight of M&Ms in the mix is 2.5 pounds, and the weight of Reese's pieces is (6 - 2.5) = 3.5 pounds.
Let's assume the weight of M&Ms in the mix is 'x' pounds.
Since the total weight of the mix is 6 pounds, the weight of Reese's pieces would be (6 - x) pounds.
Now, let's calculate the cost of M&Ms and Reese's pieces separately.
Cost of M&Ms = (cost per pound) * (weight of M&Ms) = $1.40 * x = 1.4x dollars
Cost of Reese's pieces = (cost per pound) * (weight of Reese's pieces) = $2.00 * (6 - x) = 2(6 - x) dollars = 12 - 2x dollars
According to the given information, the total cost of the mix is $10.50.
So, we have the equation:
Cost of M&Ms + Cost of Reese's pieces = Total cost
1.4x + (12 - 2x) = 10.50
1.4x + 12 - 2x = 10.50
Combining like terms:
-0.6x + 12 = 10.50
Subtracting 12 from both sides:
-0.6x = -1.50
Dividing both sides by -0.6:
x = 2.5
Therefore, the weight of M&Ms in the mix is 2.5 pounds, and the weight of Reese's pieces is (6 - 2.5) = 3.5 pounds.
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grade 6 please answer this
Answers
Answer:
Step-by-step explanation:
follow PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction)
In two or more complete sentences describe the process in writing the equation of a line given two points?
Answers
The process of writing the equation involves calculatng the slope and the y-intercept
Describing the process of writing the equationRepresent the coordinates of the points with (x₁, y₁) and (x₂, y₂)
To write the equation of a line given two points, we first need to determine the slope of the line using the formula
Slope = (y₂ - y₁)/(x₂ - x₁),
Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two given points.
Once we have the slope, we can use the point-slope form of a line,
y - y₁ = m(x - x₁),
Where m is the slope and (x₁, y₁) is one of the given points.
We can then simplify this equation into slope-intercept form, y = mx + b, where b is the y-intercept of the line.
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Researchers examined the bill color (in hue degree) of male and female zebra finches. Here are the summary statistics from the study. How different are male and female zebra finches in bill color? The margin of error for a 95% confidence interval for the difference in mean bill color μF – μM (in hue degree) is ____. Round your answer to the hundreths decimal place.
Answers
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
In the question some iformation is missing, which can be defined as follows:
Given:
The value of males:
\(n_1= 59\\s_1= 1.46\\\bar y_1=2.91\\\)
The value of Females:
\(n_2=60\\s_2= 2.48\\\bar y_2=7.42\\\)
Calculating Degrees of Freedom:
\(\bold{ df=\frac{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}{ \frac{1}{n_1-1} (\frac{s_1^2}{n_1})^2+\frac{1}{n_2-1} (\frac{s_2^2}{n_2})^2}}\\\\\\\)
\(=\frac{(\frac{1.46^2}{59}+\frac{2,48^2}{60})^2}{ \frac{1}{59-1} (\frac{1.46^2}{59})^2+\frac{1}{60-1} (\frac{2.48^2}{60})^2}\\\)
\(=9.58 or 95\)
\(\alpha= 1-0.95\\\\\)
\(= 0.05\)
for 95% confidence interval are:
\(\frac{\alpha}{2} = \frac{0.05}{2} = 0.025\)
From its t-distribution table , the value of t has an region of (\(\frac{\alpha}{2} \ \ 0.025\)) for (df=95) in its upper tail.
shall be given by = t {0.025}=1.985
Calculating the margin of Error:
\(M_OE =t_{0.025} \times \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\)
\(=1.985\times \sqrt{\frac{1.46^2}{59}+\frac{2.48^2}{60}}\\\\=0.739\)
The difference in mean bill color "\(\mu_2 -\mu_1\)" with 95% confidence intervals:
\(\to (7.42 - 2.91) \pm 0.739\\\\\to 4.51 \pm 0.739\)
Lower limit=3.771
Upper limit = 5.249
please help me with these questions
Problem 1: Find the measure of each marked angle. 2. (7x+19) (2x-1)º "V Vest (-3x+5)° (-8x+30) 5. 6. (32-2x)" (10x-10) (2x+18) (8x+14) (12x+40) (20x + 10) mand n are parallel. Problem 2: Identify th
Answers
In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.
Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".
Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180
Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.
(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º
= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º
= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º
= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º
= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º
= 508º(20x + 10)º = (20 × 39 + 10)º = 790º
Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.
Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.
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6th grade math help me pleaseeee
Answers
Answer: 65
Step-by-step explanation:
since the square root of 8 is 64 and 65 is closest to 64
Answer:
√65
√9= 3
√17= 4,12311
√65= 8,06226
√72 =8,48528
Marilyn Manson anybody else a fan ?
Answers
Answer:
wait who is that again?
Step-by-step explanation:
Answer:
Yes, I am a fan.
Step-by-step explanation:
;)
A person standing 12 feet from a light pole notices that the light casts a shadow of his body that is 5 feet long. The individual is 5 feet, 6 inches tall a. Create a diagram and label the known and unknown quantity measures. b. Determine the height of the light pole and justify your solution. c. Determine an alternative method to find the height of the light pole. (For example, if you used (inverse) trigonometric functions to solve part (b), use similar triangles to determine the unknown height. If you used similar triangles to solve part (b), use (inverse) trigonometric functions to determine the unknown height.)
Answers
The height of the light pole, using the alternative method, is approximately 11.18 feet.
b. Solution:
To determine the height of the light pole, we can set up a proportion using similar triangles. The two triangles involved are the person's shadow triangle and the person's full body triangle.
Let's denote:
h = height of the light pole
s = length of the shadow (given as 5 feet)
p = height of the person (5 feet, 6 inches = 5.5 feet)
Using similar triangles, we have:
h / s = p / (s + p)
Substituting the known values:
h / 5 = 5.5 / (5 + 5.5)
Cross-multiplying and solving for h:
h = (5 / 5.5) * (5 + 5.5)
h = 4.54 * 10.5
h ≈ 47.67 feet
Therefore, the height of the light pole is approximately 47.67 feet.
c. Alternative method:
Alternatively, we can use trigonometry to find the height of the light pole. By considering the angle of elevation between the person's line of sight and the top of the light pole, we can use tangent function to determine the height.
Let's denote:
θ = angle of elevation
h = height of the light pole
s = length of the shadow (given as 5 feet)
Using the tangent function:
tan(θ) = h / s
We can find θ by calculating the inverse tangent of the person's height divided by the distance between the person and the light pole:
θ = arctan(p / 12)
Substituting the known values:
θ ≈ arctan(5.5 / 12)
Using a calculator, we find that θ ≈ 24.47°.
Now, we can use the tangent function again to find the height of the light pole:
tan(θ) = h / s
tan(24.47°) = h / 5
Solving for h:
h = 5 * tan(24.47°)
h ≈ 2.24 * 5
h ≈ 11.18 feet
Therefore, the height of the light pole, using the alternative method, is approximately 11.18 feet.
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Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
Answers
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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Simplify the expression
Answers
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
\(\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5\)
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
I am pretty sure the answer is B.
Step-by-step explanation: