Answer:
(3x-2y)(3x+2y)
Step-by-step explanation:
Proof:
(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)
3x*3x+2y3x-2y3x-2y*2y
9x^2+0-4y^2
9x^2-4y^2
The answer is (3x-2y)(3x+2y).
explain how you got the answer
Answer:
[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]
Step-by-step explanation:
Given equation is
[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]
Adding 42 to both sides
[tex]x^2 + y^2 -6x-6y = 42\\[/tex]
Completing squares
[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]
Adding (3)² => 9 and (3)² => 9 to both sides
[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]
Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = [tex]2\sqrt{15}[/tex]
14. Can you devise a plan for finding the domain and the range of the relation shown in the graph? Explain.
Answer:
yes
Step-by-step explanation:
The domain is the set of x-coordinates of the points. The range is the set of y-coordinates of the points.
The plan would be to read and list the x-coordinates and the y-coordinates and use those lists as the answer to the question of domain and range, respectively.
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate?
Monthly Temperatures:
a. 61(degrees)F,
b. 66(degrees)F,
c. 71(degrees)F,
d. 76(degrees)F,
e. 81 (degrees)F
Answer:
Interval Data
Step-by-step explanation:
Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.
The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.
Which function is represented by the graph
Answer:
I think its C
f(x) = -|x-4| + 3
mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?
Answer:
B
Step-by-step explanation:
Because 9 = 5 +4
Graph the exponential function.
f(x)= -(5/2)^x
Answer:
see below
Step-by-step explanation:
Your spreadsheet or graphing calculator can do this for you.
__
If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.
In randomized, double-blind clinical trials of a new vaccine, were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, of subjects in the experimental group (group 1) experienced as a side effect. After the second dose, of of the subjects in the control group (group 2) experienced as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of significance?
Answer: YES.
the evidence supports this claim.
Step-by-step explanation:
We have that from the complete information,
H0: p1 = p2
Ha : p1 > p2
N1 = 654, P1 = 103/654
N2 = 615, P2 = 52/615
First we have to check the states of typicality that is if n1p1 and n1*(1-p1) and n2*p2 and n2*(1-p2) all are more prominent than equivalent to 5 or not
N1*p1 = 103
N1*(1-p1) = 551
N2*p2 = 52
N2*(1-p2) = 563
All the conditions are met so we can utilize standard typical z table to direct the test
Test measurements z = (P1-P2)/standard mistake
Standard blunder = √{p*(1-p)}*√{(1/n1)+(1/n2)}
P = pooled extent = [(p1*n1)+(p2*n2)]/[n1+n2]
After replacement
Test measurements z = 3.97
From z table, P(Z>3.97) = 0.000036
Thus, P-Value = 0.000036
As the got P-Value is not exactly the given noteworthiness 0.01
We reject the invalid speculation
Thus, we have enough proof to help the claim.that a higher extent of subjects in bunch 1 experienced drowsiness.
cheers I hope this helped !!
Use any method to determine whether the series converges or diverges. Give reasons for your answer. sin Choose the correct answer below
A) The series converges because, by the Alternating Series lest, un sin _are nonincreasing for n25 sin
B) The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C.
C) The series diverges because, by the Integral Test,sin dx is divergent -- 0 D.
D) The series converges because, by the Ratio Test, lim sin n-oo
Answer:
hello the series to your question is missing attached below in the solution is the missing series
Answer : The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )
Step-by-step explanation:
Attached below is the detailed solution of the question and the series is divergent because p = 1/5 < 1
Is 32.5 greater or less than 30.8
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
32.5 is greater than 30.8
Answer: greater than
Step-by-step explanation:
32.5 is greater than 30.8
32.5-30.8=1.7
The difference is positive, which means 32.5 is greater than 30.8
EXTRA: 32.5 is 1.7 more than 30.8
Hope this helps!! :)
Please let me know it you have any question
Classify the polygon. Then determine whether it appears to be regular or not regular. heptagon; regular octagon; regular nonagon; not regular octagon; not regular
Explanation:
There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.
This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.
In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.
Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form. (-4.5, 9.5), (-1, 2.5)
Answer:
-2x is the slope, the full equation is y=-2x+.5.
Step-by-step explanation:
y=-2x+.5
Answer: The slope is -2.
Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.
1) Check whether the value given in the bracket is a solution to the given equation
or not.
a) x + 7=12 ( x=5)
b) 2x-3-10 (x=7).
Answer:
yes and no
Step-by-step explanation:
Substitute the given values for x into the equationand if the value obtained is equal to the right side then it is a solution.
(a)
x + 7 = 5 + 7 = 12 ← True , thus x = 5 is a solution
(b)
2x - 3 = 2(7) - 3 = 14 - 3 = 11 ≠ 10, thus x = 7 is not a solution
Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a
reflection. What information does Jada need to provide to communicate the transformations she has used to get from the first figure to
the last?
Answer:
The answer is below
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, translation, reflection and dilation.
When the polygon is translated and reflected, for the translation, Jada needs to provide the distance and direction of the vertical movement (up or down) and the distance and direction of the horizontal movement (left or right) ehile for the reflection, Jada needs to provide the line of reflection so as to know which transformation is applied.
Answer:
the original figure before a transformation has been performed.
Step-by-step explanation:
plz pick me brainliest
Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*
Answer:
k = -3
k =5
Step-by-step explanation:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]
[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]
[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]
A = (-1, 1) and B = (2, k) so:
[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]
[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]
(h) Suppose we sample a new city whose particulate is 13 ppm. If reasonable, create a 95% interval for the predicted rate of childhood asthma in this city. If not reasonable, explain why.
Answer:
Explanation below
Step-by-step explanation:
First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.
This city's particulate is 13 ppm.
The answer is "not reasonable".
Why?
This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.
If an angle’s measure is 90° then it is said to be a ______angle?
Answer:
Right Angle
Step-by-step explanation:
Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.
Answer:
[tex]\boxed{\bold{\huge{\boxed{Right}}}}[/tex]
Step-by-step explanation:
If an angle’s measure is 90° then it is said to be a Right angle.
Simplify the equation 4x+3y=45
Answer: y = -4/3x + 15
3y = 45 - 4x (subtract 4x from both sides)
y = -4/3x + 15 (divide both sides by 3)
Answer:
10.5=x
Step-by-step explanation:
subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x
In a different plan for area codes, the first digit could be any number from 2 through 5, the second digit was either 2, 3, 4, or 5, and the third digit could be any number except 4, 5, or 8. With this plan, how many different area codes are possible?
Answer:
Step-by-step explanation:
First digit 2,3,4,5 = 4 different digits.
Second digit 2,3,4,5 = 4 different digits.
Third digit = 1,2,3,6,7,9 = 6 different digits.
Total number of possibilities = 4*4*6 = 96
What is the scale factor & the length of x & y?
Answer:
see explanation
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, thus
scale factor = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then
x = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6
y = [tex]\frac{2}{3}[/tex] × 7 = [tex]\frac{14}{3}[/tex]
The product of two positive rational numbers is greater than either factor.is sometimes true
Answer:
It is sometimes true
Step-by-step explanation:
Fractions are positive rational numbers, and 2*1/2 is 1, which is less than 2. Here's a picture that might help.
Can anyone help me with this math problem? There are 5 pharmacists where 2 work 35 hours a week, and another 2 work 40 hours a week. While the other is undetermined. Although, the average amount of hours worked among the 5 employees is 40 hours. Use algebra to figure out the value of the undetermined employee’s hours, aka x. By
Greetings from Brasil...
The expression that allows to calculate the average would be:
M = (A + B + C + D + E )/5where A, B, C, D and E are the pharmacists....
A and B = work 35
C and D = works 40
E = ??
average = M = 40
M = (A + B + C + D + E )/5
40 = (35 + 35 + 40 + 40 + E)/5
200 = 150 + E
E = 200 - 150
E = 50So, pharmacists E works 50h/week
Divide the following numbers. 4,084 / 1,016
The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370
a triangle with a base of 9 meters has an altitude of 12 meters.which would give the area of the triangle
Answer:
54 [tex]m^2[/tex]
Step-by-step explanation:
To find the area of a triangle use the formula a = 1/2bh
The altitude is the same as height so we can substitute 12 for h and 9 for b
Now the equation will become
a = 1/2 · 9 · 12
When you multiply it, it become 108/2 = a simplified to a = 54
Hi can you please guide me through the steps to solve this problem?
Answer:
[tex]x = 27 \frac{1}{3} [/tex]
Step-by-step explanation:
The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°
∠AOC= ∠AOB +∠BOC
90°= (x+8)° +2x°
x +8 +2x= 90
3x +8= 90 (simplify)
3x= 90 -8 (-8 on both sides)
3x= 82
x= 82 ÷3
[tex]x = 27 \frac{1}{3} [/tex]
63,416,831 to the nearest ten thousand help p
Simplify the equation -4d - 37 = 7d + 18
Answer:
d=-5
Step-by-step explanation:
-4d-37=7d +18
move the terms to its correct side
-4d-7d=18+37
calculate the like terms together.
-11d=55
divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5
Help me please thank you
Answer: 55°
Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°
Answer:
y = 55°
Sum of the interior angles of a triangle = 180°
Therefore, x + 25°+30° = 180°
or, x + 55° = 180°
or, x = 180°-55°
or, x = 125°
Now, x + y = 180° ( straight angles)
125°+y = 180°
y= 55°
Name the ray that is opposite AD?
Answer:
I think it's AB
Step-by-step explanation:
Since its the opposite of AD
How is team performance calculated in SAFE?
Answer:
By strengthening key elements of their safety and health programs, they also can improve their overall organizational performance. In addition to the social benefits, employers that use leading indicators to find and fix hazards can realize direct savings to their bottom line.
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee
work?
Answer:
90 hours
Step-by-step explanation:
67 + 6 + 9 + 8 = 90 hours