Take the square root of both sides to get the solution
The equation is: (x - 8)^2 = -8
Here is a picture of what I mean.
(I need an answer fast.)
Answers
The solution to the given equation is 8±2√2 i
Solving rational equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the equation below
(x - 8)^2 = -8
Take the square root of both sides to have:
√(x-8)^2 = √-8
x-8 = ±√-8
x-8=±2√2 i
x = 8±2√2 i
Hence the solution to the given equation is 8±2√2 i
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Related Questions
Solve the inequalities |2x + 3| + 6 < 0
Answers
SOLUTION
The given residual plot the represents the scatter plot is
Frank has 130 apples. He buys 18 more apples and then a friend gives
him 25 more. How many does he have now?
Answers
Answer:
173
Step-by-step explanation:
130+18=148
148+25=173
148+25=173
How do you write a geometric function?
Answers
A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.
Geometric function theory is the study of geometric properties of analytic functions. A fundamental result in the theory is the Riemann mapping theorem.
There are many shapes in geometry based on their dimensions. Circle, Triangle, Square, Rectangle, Kite, Trapezium, Parallelogram, Rhombus and different types of polygons are the 2-d shapes. Cube, Cuboid, Sphere, Cone and Cylinder are the basic three-dimensional shapes.
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What’s the answer to this?!!!!!
Answers
Step-by-step explanation:
here
hurry !!!! I need help
Answers
Answer:
x = 66
Step-by-step explanation:
m<5 + m<6 = 180
2x + 48 = 180
2x = 132
x = 66
Explain how to use the figure below and a sequence of similarity transformations to prove that all circles are similar.
Answers
Translate circle A (blue), so that its center is the same with circle B (black)
A dilation is needed to increase the size of circle A to coincide with circle B. Let x be the value when multiply by r will create s.
The scale factor , x, to increase circle A is
\(\begin{gathered} x\cdot r=s\longrightarrow x=\frac{s}{r} \\ \\ \text{A translation, followed by a dilation with scale factor }\frac{s}{r}\text{ will map one circle} \\ \text{onto the other, thus proving that all circles are similar.} \end{gathered}\)
Which are the coordinates of the x-intercept in the equation −4x+5y=20 ?
Answers
Answer: (-5,0)
Step-by-step explanation:
-4x + 5y = 20 the x intercept is when y is zero so input zero into the equation and solve for x.
-4x + 5(0) = 20
-4x = 20
x = -5
A rabbit weighed 4 ounces when it was born. The rabbit gained 2 ounces each week for the next 12 weeks. Which equation models the weight of the rabbit, w, x weeks after it was born, where x ≤ 12?
Answers
Answer: w = 2x + 4
Step-by-step explanation: The rabbit started at 4 ounces, and gained two each week.
Week 0 = 2(0) + 4 = 4
Week 1 = 2(1) + 4 = 6
Week 2 = 2(2) + 4 = 8
Week 3 = 2(3) + 4 = 10
Angel saw an internet pop-up advertisement for an investment that doubles your money every year. If angel invests the $20 her grandmother gave her for her birthday, how much will she save in various years?
Answers
(15/x)-3x linear or nonlinear
Answers
Answer:
(15/x)-3x is nonlinear.
the operation manager at a tire manufacturing company believes that the mean mileage of a tire is 20,138 miles, with a variance of 10,304,100. what is the probability that the sample mean would be less than 19,448 miles in a sample of 171 tires if the manager is correct? round your answer to four decimal places.
Answers
The probability that the sample mean would be less than 19,448 miles is 0.9972
Given,
The mean mileage of a tire, μ = 20,138
The standard deviation, σ = \(\sqrt{10,304,100}\) = 3210
Sample size, n = 171
We have to find the probability that the sample mean would be less than 19,448 miles.
That is,
P(X < 19448)
Since the sample size in this instance is greater than 30, we can utilise the central limit theorem and the z score formula provided by:
z = (X - μ) / (σ/√n)
The following would be the sample mean's distribution:
X ≈ N (μ, σ/√n)
In this situation, the z score was found to be:
z = (19448 - 20138) / (3210/√171)
z = -690 / 245.48
z = 2.81
Using the conventional table, we get the following:
P(z < 2.81) = 0.9972
That is,
The probability that the sample mean would be less than 19,448 miles is 0.9972
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help, there are more questions liek this
Answers
Answer:
14.55'
Step-by-step explanation:
Cosine rule
c^2 = a^2 + b^2 - 2ab cos(C)
here
a=11
b=23
C = 150°
Substitute in cosine rule,
c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)
= 121 + 529 -2 (11) (23) sqrt(3)/2
=211.791
c = sqrt(211.791)
= 14.55
I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answers
Answer:
\(Arc \ length = 2\pi r \frac{\theta}{360} =\) 172.3m
13. The average of 15, 19, 23, 41, and x is 20. What is the value of x? (A) 2 (B) 20 (C) 23.6 (D) 31
Answers
Answer:
A
Step-by-step explanation:
(x + 15 + 19 + 23 + 41) / 5 = 20
x + 15 + 19 + 23 + 41 = 100
x + 98 = 100
x = 2
Answer: it’s 2 (A)
Step-by-step explanation:
20 * 5 = 100
15 + 19 + 23 + 41 = 98
100-98=2
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
Answers
Answer:
ima guess $262.50
Step-by-step explanation:
test statistics, p value, and State the conclusion for the test. please
p value and test statistics please
Show transcribed data
Suppose the mean wait-time for a telephone reservation agent at a large airline is 40 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of39.3seconds with a standard deviation of4.2seconds. Usingα=0.05level of significance, do you believe the new policies were effective in reducing wait time? Do you think the results have any practical significance? Determine the null and alternative hypotheses.
Answers
The null hypothesis is given as follows:
\(H_0: \mu = 40\)
The alternative hypothesis is given as follows:
\(H_1: \mu < 40\)
The test statistic is given as follows:
t = -2.63.
The p-value is given as follows:
0.0045.
The conclusion is given as follows:
As the p-value of the test is less than the significance level of 0.05, there is enough evidence to believe that the new policies were effective in reducing wait time, which have practical significance.
How to obtain the test statistic and the p-value?The equation for the test statistic is given as follows:
\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)
In which:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The parameters for this problem are given as follows:
\(\overline{x} = 39.3, \mu = 40, s = 4.2, n = 250\)
Hence the test statistic is given as follows:
\(t = \frac{39.3 - 40}{\frac{4.2}{\sqrt{250}}}\)
t = -2.63.
Using a t-distribution calculator, for a left-tailed test, as we are testing if the mean is less than a value, with t = -2.63 and 250 - 1 = 249 df, the p-value is given as follows:
0.0045.
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The vertex of the parabola below is at the point (2, 4), and the point (3,6) is
on the parabola. What is the equation of the parabola?
10
(3,6)
(2,4)
-10
10
-10
O A. y=2(x-2)² +4
OB. x= 4(y-3)² +1
O C. y= 6(x-2)2 +4
OD. y=3(x-4)2 +2
← PREVIOUS
Answers
The equation of the parabola is y = 2(x - 2)^2 + 4
How to determine the parabola equation?The given parameters are:
Vertex, (h,k) = (2,4)Point (x,y) = (3,6)A parabola is represented as:
y = a(x - h)^2 + k
Substitute (h,k) = (2,4)
y = a(x - 2)^2 + 4
Substitute (x,y) = (3,6)
6 = a(3 - 2)^2 + 4
Evaluate the difference
6 = a(1)^2 + 4
This gives
6 = a + 4
Subtract 4 from both sides
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 4
y = 2(x - 2)^2 + 4
Hence, the equation of the parabola is y = 2(x - 2)^2 + 4
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Which operation should you perform first when you simplify the expression below?
85+ (9-25.5) ÷ 3
A: addition
B:subtraction
C:multiplication
D:division
Answers
Answer:
A pq eu já não sei mas vou na A! não sei falar inglês, meu irmão leu, mas acho que não leu direito, eu chuto na A
because first of all is What is inside the arc
Write the point-slope form of the equation of the line with slope -2 that passes through the point (-3, -8).
Answers
As given by the question
There are given that the slope and point.
\(\begin{gathered} \text{slope(m)}=-2 \\ Point\colon\text{ (x, y)=(-3, -8)} \end{gathered}\)Now,
From the formula of point-slope form:
\(y-y_1=m(x-x_1)\)Where,
\(x_1=-3,y_1=-8,\text{ m=-2}\)Then,
Put all values into the above formula:
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-(-8)_{}=-2(x-(-3)_{}) \\ y+8=-2(x+3) \end{gathered}\)So,
The equation of a line is y+8=-2(x+3).
Hence, the correct option is B.
What is 117/320 simplified to a mixed fraction
Answers
Answer:
hope this helps 229 999 0523
117 /320 ≈ 0.366
Step-by-step explanation:
Step 1 of 1: Simplify.
Simplify
117 over 320
117
320
Step 1 of 1: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 117 and 320. The result can't be further reduced.
Answer:
0.5087
Step-by-step explanation:
i just know it...
Christina must run around the rectangular soccer field during practice. The football field It measures 60 meters long by 45 meters wide. How far did Christina run?
Answers
Answer:
210 meters
Step-by-step explanation:
the sum of two numbers is 48. the larger number is more than the smaller number. what are the numbers?
Answers
The smaller number is = 17
The larger number is = 31
Complete Question:
The sum of two numbers is 48 and the larger number is 14 more than the smaller number. find the two numbers.
Let a = larger number
Let b = smaller number
i) a + b = 48
ii) a = b + 14
Solving (i) for a:
a = 48-b
Substituting this into (ii) and solving for y:
48-b = b+14
48-2b = 14
-2b = -34
b = 17
a = 48-b
a= 48-17 = 31
So, the smaller number is 17 and the larger number is 31
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Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answers
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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Please help me asap thanks !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the correct answer would be d.
Step-by-step explanation:
These lines should be straight line, since they have no slope.
Answer:
D.
Step-by-step explanation:
Since we see that any x-value for the piecewise function will either be always y-value 4 or 2, we know that we are looking for a graph with all horizontal lines. Therefore, our answer is D.
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
Answers
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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SHOW YOUR WORK!!!! Please *grade 9 work*
Marking whoever shows their work as brainliest :)
Answers
Answer:
675 students are wearing masks.
Step-by-step explanation:
3/8(1800)=675
Answer: 675 students will wear masks
Step-by-step explanation:
3/8 of the student do wear masks. Thus, simply do 3/8*1800 to get that 675 students wear masks.
Hope it helps <3
pls answer quick
this is due in a few minutes!
Answers
Answer:
31°
Step-by-step explanation:
140 and 4x + 16 are corresponding angles therefore:
4x + 16 = 140
algebra time
4x = 124
x = 124/4
x = 31
Solve each system by elimination: x+5y=4 3x-7y=-10
Answers
Answer: x= -1 y= 1
Step-by-step explanation: Times -3 to get the same x
-3x - 15y = -12
3x - 7y = -10
-22y = -22
y= 1
Then put 1 back in for letter y and you get x= - 1
Amelia buys a car for £12145 which depreciates in value at a rate of
1% per year. Work out how much Amelia's car will be worth in 3 years
Answers
Amelia's £12145 car will be worth £11780.65 in 3 years.
Amelia buys a car for £12145 and it depreciates in value at a rate of 1% per year. In order to find out how much the car will be worth in 3 years, we need to calculate the amount of depreciation over those 3 years and then subtract that amount from the original price of the car.
Here is the formula to calculate the amount of depreciation:
Depreciation = Original price x Depreciation rate x Number of years
Plugging in the given values:
Depreciation = £12145 x 0.01 x 3
Depreciation = £364.35
Now, we need to subtract the depreciation from the original price to find the value of the car after 3 years:
Value after 3 years = Original price - Depreciation
Value after 3 years = £12145 - £364.35
Value after 3 years = £11780.65
Therefore, Amelia's car will be worth £11780.65 in 3 years.
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-8+4 - 7+9 - 2+(-5)
A)-9
B)-5
C)1
D)7
Answers
Answer:
A
Step-by-step explanation:
the answer is a 100% no cap