Answer:
x = plus or minus 8
Step-by-step explanation:
x² - 64 = 0
x² = 64
x = [tex]\sqrt{64}[/tex]
x = ± 8
Answer: Solve : x2+64 = 0
Subtract 64 from both sides of the equation :
x2 = -64
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ -64
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Accordingly, √ -64 =
√ -1• 64 =
√ -1 •√ 64 =
i • √ 64
Can √ 64 be simplified ?
Yes! The prime factorization of 64 is
2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 64 = √ 2•2•2•2•2•2 =2•2•2•√ 1 =
± 8 • √ 1 =
± 8
1.1.22
Solve the equation.
17 + 28 = – 5(4x – 9)
Answer:
No Solution
Step-by-step explanation:
Step 1:
17 + 28 = - 5 ( 4x - 9 )
Step 2:
45 = - 20x + 45
Step 3:
- 20x = 0
Answer:
No Solution
Hope This Helps :)
PLZ HELP ASPPP PLZ WILL GIVE YOU BRAINLIST
Answer:
x=(-9)
PQ=2
PR=3
Step-by-step explanation:
Determine whether the set of all linear combinations of the following set of vector in R^3 is a line or a plane or all of R^3.a. {(-2,5,-3), (6, -15,9),(-10, 25, -15)} b. {(1,2,0), (1,1,1),(4,5,3)} c. {(0,0,3), (0,1,2), (1,1,0)}
Answer:
a. Line
b. Plane
c. All of R^3
Step-by-step explanation:
In order to answer this question, we need to study the linear independence between the vectors :
1 - A set of three linearly independent vectors in R^3 generates R^3.
2 - A set of two linearly independent vectors in R^3 generates a plane.
3 - A set of one vector in R^3 generates a line.
The next step to answer this question is to analyze the independence between the vectors of each set. We can do this by putting the vectors into the row of a R^(3x3) matrix. Then, by working out with the matrix we will find how many linearly independent vectors the set has :
a. Let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}-2&5&-3\\6&-15&9\\-10&25&-15\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}-2&5&-3\\0&0&0\\0&0&0\end{array}\right][/tex]
We find that the second vector is a linear combination from the first and the third one (in fact, the second vector is the first vector multiply by -3).
We also find that the third vector is a linear combination from the first and the second one (in fact, the third vector is the first vector multiply by 5).
At the end, we only have one vector in R^3 ⇒ The set of all linear combinations of the set a. is a line in R^3.
b. Again, let's put the vectors into the rows of a matrix :
[tex]\left[\begin{array}{ccc}1&2&0\\1&1&1\\4&5&3\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&1\\0&1&-1\\0&0&0\end{array}\right][/tex]
We find that there are only two linearly independent vectors in the set so the set of all linear combinations of the set b. is a plane (in fact, the third vector is equivalent to the first vector plus three times the second vector).
c. Finally :
[tex]\left[\begin{array}{ccc}0&0&3\\0&1&2\\1&1&0\end{array}\right][/tex] ⇒ Applying matrix operations we find that the matrix is equivalent to this another matrix ⇒
[tex]\left[\begin{array}{ccc}1&1&0\\0&1&2\\0&0&3\end{array}\right][/tex]
The set is linearly independent so the set of all linear combination of the set c. is all of R^3.
Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.
_____ Friedman test
_____ Kruskal-Wallis H test
_____ Mann-Whitney U test
_____ Wilcoxon Signed-Ranks T test
A. Paired-sample t-test.
B. Independent-sample t-test.
C. One-way ANOVA, independent samples.
D. One-way ANOVA, repeated measures.
Answer:
A. Paired-sample t-test. --- Wilcoxon Signed-Ranks T testB. Independent-sample t-test. --- Mann-Whitney U testC. One-way ANOVA, independent samples. --- Kruskal-Wallis H testD. One-way ANOVA, repeated measures. --- Friedman testStep-by-step explanation:
The nonparametric statistics is a branch of statistics, that seeks out the population distribution that is either being distributed freely or specifically. Wilcoxon Signed-Ranks T-test is a hypothesis test used to compare the two or pre related columns that can be matched and maybe a repeated measure on a single sample.The Mann-Whitney U test is a null hypothesis and states the probability of a random sample of X and Y from the population is greater than the X and that Y is greater than X.Kruskal-Wallis H test is a test of one variance analysis and tests that sample originates from the same distribution.The Friedman test is used to find treatment across multiple tested attempts. It involves the ranking of the rows and then considering the values of the column.The percentage of first year college males who will claim no religious affiliation in 2030 is approximately ___%
Answer:
34.5%
Step-by-step explanation:
If we assume the relationship is approximately linear with time, we can use technology to draw a line of best fit through the given data. Extrapolating to the year 2030 predicts the value to be 34.5%.
In 2030, we might expect about 34.5% of male first-year college students to claim no religious affiliation.
_____
Additional comment
When it comes to religion, many factors are in play. The assumption we have made has no justification whatever, except that it provides a method for answering the question. (It also predicts the percentage to be 0 in 1963, which we believe to be unrealistic.) An exponential fit is better (r^2 = 0.97), and it predicts about 46.0%.
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic. Equation: (x+2)^2+(y-2)^2+(z-3)^2 = 0
Answer:
[tex]\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
Step-by-step explanation:
Given the center of sphere is: (-2, 2, 3)
Passes through the origin i.e. (0, 0, 0)
To find:
The equation of the sphere ?
Solution:
First of all, let us have a look at the equation of a sphere:
[tex](x-a)^2+(y-b)^2+(z-c)^2=r^2[/tex]
Where ([tex]x,y,z[/tex]) are the points on sphere.
[tex](a, b, c)[/tex] is the center of the sphere and
[tex]r[/tex] is the radius of the sphere.
Radius of the sphere is nothing but the distance between any point on the sphere and the center.
We are given both the points, so we can use distance formula to find the radius of the given sphere:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Here,
[tex]x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3[/tex]
So, Radius is:
[tex]r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}[/tex]
Therefore the equation of the sphere is:
[tex](x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}[/tex]
The length of a rectangle is twice the width. The area is 72 yd^2. Find the length and the width.
Answer:
The length is 12yd and the width is 6yd.
Step-by-step explanation:
What is the quotient of 8,595 ÷ 24? 334 R 3 334 R 7 358 R 3 358 R 7
Answer:
358 u literally just waited your time u could have used a calculator
Step-by-step explanation:
Answer:
Quotient = 358
Remainder = 3
-3(x+n)=x To solve for x
Answer:
x = -3n/4
Step-by-step explanation:
Solve for x: 6x + --(4x + 8) > 12
1
4
Ox>
10
7
Ox>2
Oxs 10
<< 19
0x<2
Answer:
x > 10/7
Step-by-step explanation:
Take LCM and do cross Multiplication. You will get,
24x + 4x + 8 > 48
or, 28x > 40
or, x > (40/28)
This gives, x > 10/7
Use the general slicing method to find the volume of the solid whose base is the triangle with vertices (0,0), (7,0), and (0,7) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles.
(need exact answer in terms of pi).
Answer:
The answer is "[tex]\bold{\frac{343 \ \pi}{24} \ \text{cubic units}}[/tex]"
Step-by-step explanation:
The volume of the mass whose cross-sectional area has been perpendicular is usually sliced by the method The cross-section, which is based to parallel to y-axis;
[tex]V = \int_{a}^{b} A (x)dx[/tex]
The semi-circular segment of the strong and seems to be perpendicular to foundation and
Y-axis parallel.
Its cross-section does have a diameter of: [tex](7-x)[/tex].
It also transverse radius is: [tex]\frac{1}{2}(7-x)[/tex].
The semi-circular segment area is,
[tex]Formula: \\\\ A(x)=\frac{1}{2} \times \pi \times r^2[/tex]
[tex]=\frac{1}{2} \times \pi \times (\frac{(7-x)}{2})^2\\\\=\frac{1}{2} \times \pi \times (\frac{(7-x)^2}{4})\\\\=\frac{1}{8}\pi(7-x)^2\\[/tex]
when
[tex]0 \leq \ x \ \leq 7[/tex]
Calculating the volume from the solid accordingly:
[tex]V= \int_{0}^{7}\frac{1}{8} \times\pi \times (7-x)^2 dx[/tex]
[tex]= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\[/tex]
what is 765,903 rounded to nearest hundred thousand
Answer:
800,000
Step-by-step explanation:
The numbers are above 5 making it round up not down
What value of q makes the equation true? -8=32-5q
If x=.5, what is the numerical value of 20x ?
g^>JiGj+\1I1.G"yGLzn5Y^>&==o܋tǶgj<c_W#vioǾ|kZΧfyUwɻUʽ=އ
my noob has 36 apples he puts 29 in a bag how much he has now
Answer: He has 7 at the moment, technically, if he still has the bag, he still has all 36
Step-by-step explanation:
Answer:
he has noob 7
Step-by-step explanation:
for each equation below, find y if x=3
Order the following numbers from least to greatest
Answer:
Step-by-step explanation:
Change all numbers to their decimal form.
37.5 % = 37.5 / 100 = 0.375
1/3 = 0.3333
0.3 = 0.3
40% = 40/100 = 0.4
3/5 = 0.6
Order
0.3
0.33333
0.375
0.4
0.6
How much discount is received on an item with a marked price of Rs 500 if the discount rate is 3%? * Rs 50 Rs 15 Rs 25 Rs 5
Answer:
Rs.15
Step-by-step explanation:
3% = 3/100 × 500 = 15
Is the square root of 0.49 rational
Answer:
rational
Best of luck!
I need help with 25. 26. And 27 plz I don’t know how
Answer:
25. 8ft
26. 3m
27. 7cm
Step-by-step explanation:
Because it says each is an area of a sqare the square root will give you the side length
Solve the inequality 6t>t+6. Enter your answer as an inequality with just t on the left side. For example, if the inequality in the problem were true for all negative t, then you'd enter "t =3".
Answer: t > 6/5
In decimal form, this would be t > 1.2
==============================================
Work Shown:
6t > t+6
6t-t > t+6-t ...... subtracting t from both sides
5t > 6
5t/5 > 6/5 .... dividing both sides by 5
t > 6/5
t > 1.2
In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?
Answer:
104
Step-by-step explanation:
5/8x. - - - - - - - >. 3/8x
56+x---------------> 24+x
Then solve for x
ERROR ANALYSIS In Exercises 39 and 40, describe and
correct the error in solving the equation.
identical
shown.
one of th
39.
X
-0.8 + r= 12.6
r= 12.6 +(-0.8)
r= 11.8
40.
X
m
= -4
3•(-5= 3•(-4)
a. W
m= -12
on
b. Th
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, [tex] -0.8 + r = 12.6 [/tex], to solve for r, the following are the correct steps to take to arrive at the solution:
[tex] -0.8 + r = 12.6 [/tex] (given)
Add 0.8 to both sides of the equation (addition property of equality)
[tex] -0.8 + r + 0.8 = 12.6 + 0.8 [/tex] (this is where the error occurred.)
[tex] r = 13.4 [/tex]
40. The correct steps to take in solving the equation, [tex] -\frac{m}{3} = -4 [/tex] is as follows:
[tex] -\frac{m}{3} = -4 [/tex] (given)
Multiply both sides by 3 (multiplication property of equality)
[tex] 3*-\frac{m}{3} = 3*(-4) [/tex]
[tex] -m = -12 [/tex] (this is where the error occurred. This is what we should have at this line/step)
[tex] m = 12 [/tex] (dividing both sides by -1)
There are 18 men on 2 baseball teams. 2/3 of them brought their sons to watch them play. How many brought their son?
How many one-thirds are in one-sixth?
there are (1/6)/(1/3) one-third in one sixth
Step-by-step explanation:
that means
no. of one-third is 1/2
Answer:
there are 2 one third in one sixth
on Tuesday, the Soto salad restaurant served 6 1/2 cups of Italian salad dressing. if the restaurant serves 1/2 cups of dressing with each salad, how many salads where ordered?
Answer:
11
Step-by-step explanation:
List several figures other than rectangles that tessellate the plane using translations
Answer:
A
Step-by-step explanation:
Geometry. Answer the question in the photo.
Answer:
5
Step-by-step explanation:
Since, A, B, C, D are collinear.
[tex] \implies A - B - C - D \\
\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]
Solve the equation.
5x + 8 - 3x = -10
x = -9
X = -1
x = 1
X = 9
Cand
Its the Right Answer on the Test. Hopes This Helps.
Thank You
line that is perpendicular to 3y=5x-1
Answer:
Step-by-step explanation:
3y = 5x - 1
y = 5/3x - 1/3
perpendicular slope is -3/5