Answer:
The following are the solutions found for x:
+√2 + 0i
-√2 + 0i
0 + 3i
0 - 3i
Step-by-step explanation:
The given equation is:
x⁴ + 7x² - 18 = 0
Rewrite x4 as (x²)²
(x²)² + 7x² − 18 = 0
Let u = x²
u² + 7u − 18 = 0
Factorize:
u² + 9u - 2u - 18 = 0
u(u+9) -2(u+9) = 0
(u-2)(u+9) = 0
(x²-2)(x²+9) = 0
Seperate both equations:
x² - 2 = 0 x² + 9 = 0
x = ±√2 x = ±√-9
x = ±√2 x = ± 3√-1
x = ±√2 + 0i x = 0 ± 3i
Answer:
C
Step-by-step explanation:
3. A team of eye surgeons has developed a new technique for a risky eye operation to restore the
sight of people blinded from a particular disease. Under the old method only 30% of the patients
recover their eyesight. Surgeons at various hospitals have performed 225 operations using the
new method and in 88 the patients recovered their eyesight. Using a 01 level of significance, is
there evidence that the new method is better than the old one? (30 points)
Answer:
Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.
You cna show this as workings to prove or follow any of the below statements.
Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find = 62.5 and it's 30% standing value of 67.5 as +1% increase shows us 31% = 69.7 ( 0.31 x 225 = 69.74)
Step-by-step explanation:
88/225 = 0.39111111111 = 39.11%%
P value 01 = 1% = 225.225 or 5% range of alternative hypotheses.
To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.
We can then show 225.225 - Ha or H1 then graph the probability of obtaining a sample mean that is at least extreme in both tails Ha or H1
However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%
We prove that 30-1 =29 where 29% of 225 = 225 x 0.29 = 65.25
this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88
This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .
We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.
34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1
Where as shown
30 = 0.3 x 225 = 67.5
76.5475 - 67.5 = 9.04 difference when comparing old method = +1%
where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5 as +1% and 31% = 69.7 ( 0.31 x 225 = 69.74)
You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%
NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.
Help idk how to do this
Answer:
[tex]y=5[/tex]
Step-by-step explanation:
[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]
[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]
[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]
The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?
Answer:
Approximately 43.30 miles
Step-by-step explanation:
We use the given formula:
[tex]d=\sqrt{1.5\,h}[/tex]
replacing "h" with the value of the height of the Empire State Building (1250 feet):
[tex]d=\sqrt{1.5\,*1250} \\d= 43.30 \,\,\,miles[/tex]
Brainliest for whoever gets this right!
Please help ASAP!
Find the inequalities which describe the regions that’s shaded
Answer:
The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.
Answer:
Green: x is less than or equal to 2
Purple: y is greater than or equal to x
The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6
Step-by-step explanation: Solid lines mean equal to or < >
Sorry my keyboard doesn't have the real symbol for those.
Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.
If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
WHAt is the equation of the graph below?
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer:
The first one!
Step-by-step explanation:
the others don't work since there could be more possibilitys than just b and c.
D is just wrong (as you creati)
I seriously cited the sources you fool>;/
plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!
A. 4/11
B. 7/11
C. 11/7
D. 11/4
help plsss
Answer:
Option B. 7/11
Step-by-step explanation:
The following data were obtained from the question:
Sin x = 7/11
Cos(90 – x) =..?
The value of Cos(90 – x) can simply be obtained as follow:
Recall:
Sin x = Cos(90 – x)
Sin x = 7/11
7/11 = Cos(90 – x)
Therefore, the value of Cos(90 – x) is simply 7/11.
Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.
Answer:
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Step-by-step explanation:
Reflection rules:
Reflection over x -axis:(x,y)→(x,-y)
Reflection over y-axis : (x,y)→(-x,y)
Graph:[tex]y= f(x)=x^2[/tex]
We are given that the graph of f into the graph of g.
[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]
Reflect over y axis.
Reflected graph [tex]=(-x)^2[/tex]
Reflect the obtained graph over x axis
[tex]g(x)=-(-x)^2[/tex]
So, Option B is true
Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.
Answer:
i reflected it over the x and y axis tho
Step-by-step explanation:
bro trust me
3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.
Answer:
0.12
Step-by-step explanation:
3/25= 12/100
12/100=0.12
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
The A) ΔABC ≅ ΔEDC
Step-by-step explanation:
The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.
As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.
Answer:
A) triangle ABC is congruent to triangle EDC
Step-by-step explanation:
The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Let's see what we have in this problem:
<ACB and <ECD are congruent since they are vertical angles.
<A and <E are congruent by given.
Sides AB and ED are non-included sides and are congruent.
Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.
Now we need the statement of congruence.
Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.
Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.
We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.
Answer: A) triangle ABC is congruent to triangle EDC
If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term
Answer:
If the nth term is n^-5,
Then the first term will be (1)^-5=1
Second term will be (2)^-5= 1/32
3rd term=(3)^-5 = 1/243
So, 10th term will be (10)^-5=1/100000
The first term is -4, second term is -1, third term is 4 and 10th term is 95.
What is sequencea group of connected actions, moves, or things that happen in succession and have a specific order.
Given that,
The nth term of sequence = n² - 5 (1)
To find terms, Substitute values of n in equation (1),
Substitute n=1, the first term = 1-5 = -4
Substitute n=2, the second term = 4-5 = -1
Substitute n=3, the third term = 9-5 = 4
For 10th term, substitute n= 10,
10th term = 100-5 = 95
First term =-4, second term = -1, third term = 4 and 10th term = 95.
To learn more about Sequence on :
https://brainly.com/question/21961097
#SPJ
the value of x is __?
PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches
1. How many triangles can she make with them if each side is a different color? List the combinations that work.
2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?
Answer:
9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
Step-by-step explanation:
We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.Let's see what are the possible combinations:
3+4= 7 so possible 3rd side is 5
3, 4, 5 or ROY3+5= 8 so possible 3 rd side is 7
3, 5, 7 or RYG3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)
3, 7, 9 or RGB3+9= 12 so possible 3rd side is 7, see one above
3+12= 15 so possible 3 rd side is none
4+5=9 so possible 3rd side is 7
4, 5, 7 or OYG4+7= 11 so possible 3rd side is 9
4, 7, 9 or OGB4+9= 13 so possible 3rd side is 12
4, 9, 12 or OBP5+7= 12 so possible 3rd side is 9
5, 7, 9 or YGB5+9= 14 so possible 3rd side is 12
5, 9, 12 or YBP7+9= 16 so possible 3rd side is 12
7, 9, 12 or GBPSo the possible 9 combinations are:
RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBPFind the y value for the point that divides the line segment CD into a ratio of 4:1.
Segment CD is shown. C is at 9, 6 and D is at 5, 1.
2
6.2
3
2.8
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2
Answer:
2 is correct
Step-by-step explanation: I got it right on test
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?
Answer:
[tex]927[/tex]
Step-by-step explanation:
[tex]900 \times (1+0.6\%)^5[/tex]
[tex]900 \times (1+0.6/100)^5[/tex]
[tex]900 \times (1+0.006)^5[/tex]
[tex]900 \times (1.006)^5[/tex]
[tex]900\times \:1.03036[/tex]
[tex]927.32594[/tex]
Answer:
927
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 0.6 % of 900
=> [tex]\frac{0.6}{100}* 900[/tex]
=> 0.6 * 9
=> 5.4
Rate of increase in 5 years = 5 * 5.4
= 27
Population after five years = 900+27
=> 927
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
sPoint Q is plotted on the coordinate grid. Point P is at (20, −30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30. Point R is at (−40, 30), a distance of 60 units from point Q Point R is at (−40, −10), a distance of 20 units from point Q Point R is at (−40, −30), a distance of 60 units from point Q Point R is at (−40, 10), a distance of 20 units from point Q
Answer:
I'm pretty sure its c
a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.
Answer:
The answer is 500 times
Step-by-step explanation:
hope this helps you
Give my answer in terms of pi and state it's units
Answer:
113.1 square mm
Step-by-step explanation:
A=πr2=π·62≈113.09734
Answer:
[tex]= 36\pi \: {mm}^{2} \\ [/tex]
Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240; 24
Step-by-step explanation:
Given that:
Sum of two numbers = 264
One number ends with '0'
Second number = first number without '0'
Let the first number be 'a'
Since the second number is the first number with '0' erased, then,
Second number = (a ÷ 10)
Therefore, the expression becomes :
a + a/10 = 264
Multiply the equation by 10
10a + a = 2640
11a = 2640
a = 2640/11
a = 240
Therefore ;
a = 240 ;
a/10 = 240/10 = 24
The numbers are 240 and 24
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
HELP ME NOW PLSSSSSS
Answer:
A-2/9
Step-by-step explanation:
assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)
3x3=9
he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.
so I think it would be 2/9
Answer:
5/9
Step-by-step explanation:
Hello,
To continue on the same logic as for other questions, let s check the possible outcomes, they are 9
First draw second draw sum of the value Is it >= 30c?
dimes dimes 20
dimes nickels 15
dimes quarters 35 Yes
nickels dimes 15
nickels nickels 10
nickels quarters 30 Yes
quarters dimes 35 Yes
quarters nickels 30 Yes
quarters quarters 50 Yes
For only 5 the sum is >= 30c
so the probability is 5/9
hope this helps
f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.
Answer:
Step-by-step explanation:
For greater clarity, graph this triangle. If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex. The point B(3, -3) becomes D(-3, -3). Finally, the point A(4, -1) becomes E(-4, -1).
Answer:
A(4,-1)-> A'(-4,-1) . B(3,-3)->B'(-3, -3) . C(0,2) -> C' (0,2)
Step-by-step explanation:
what value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?
A) 24
B) 48
C) 12
D) 144
Answer:
D
Step-by-step explanation:
Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.
Answer:
Answer D
Step-by-step explanation:
Take half of the coefficient of x: Take half of +24, obtaining 12. Now square this 12, obtaining 144. This is the desired value. Answer D is correct.
How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.
Answer:
25.12
Step-by-step explanation:
round pi to first 2 digits after decimal point.
3.14 x 8 =25.12