Answers
Answer:
(E) 9
Step-by-step explanation:
[tex]\frac{(3^{2008})^2-(3^{2006})^2}{(3^{2007})^2-(3^{2005})^2} = \\\frac{(3^{2007+1})^2-(3^{2007-1})^2}{(3^{2007})^2-(3^{2007-2})^2} = \\\frac{(3^{2007})^2(3^{2}-3^{-2} )}{(3^{2007})^2(1-3^{-4} )} =\\\frac{9-\frac{1}{9} }{1-\frac{1}{81} }=\\\frac{80}{9}:\frac{80}{81} = \\\frac{80}{9}*\frac{81}{80} = \frac{81}{9} = 9[/tex]
Related Questions
prove by factorization √16×81=√16×√81
Answers
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
what are the domain and range of this function?
Answers
Answer:
domain: all real numbers
range: {y | y ≥ 0}
A quantity P is an exponential function of time t. Use the given information about the function P = P0e^{kt} to find values for the parameters k and P0.
P=40 when t=4 and P=50 when t=3.
Answers
Answer:
P = 40 x 4
= 160
P = 50 x 3
= 150
Please help someone! Very important!
Answers
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32
Answers
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Write the missing power of 10 in each equation.
0.80 × [ ] = 8
[ ] × 0.002 = 20
0.04 × [ ]= 4
[ ]× 0.5 = 500
Answers
2. 10000 or 10 to the fourth power
3. 100 or 10 to the second power
4. 1000 or 10 to the third power
there are 750 spectator in the stadium of which 420 are women and the rest are men
Answers
Complete Question:
There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?
Answer:
Percentage = 56%
Step-by-step explanation:
Given the following data;
Total number of people = 750
Number of women = 420
To find the percentage of women;
First of all, we would determine the number of male spectators (men);
Number of men = Total number of people - Number of women
Number of men = 750 - 420
Number of men = 330
Next, we find the percentage of women;
[tex] Percentage = \frac {420}{750} * 100 [/tex]
[tex] Percentage = \frac {42}{75} * 100 [/tex]
[tex] Percentage = 0.56 * 100 [/tex]
Percentage = 56%
Therefore, the percentage of the spectators that are women is 56%.
Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164
Answers
Answer:
128
Step-by-step explanation:
I did the math
Answer:
it's 2 :)
Step-by-step explanation:
quotient is a term used in division so you divide
16 divided by 8 is 2 <3
don't forget to say thanks if you got it right ! :)
Simplify the following expression.
29.718 - 29.63
Answers
Answer:
0.88 is the correct answer
Which list of numbers are valid for both inequalities?
3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4
Answers
Answer:
-3, - 2, - 1, 0, 1, 2, 3, 4
Step-by-step explanation:
The blue line of the number line can have its inequality range written as :
Since both startibg and endpoints are shaded :
-1 ≤ x ≤ 4
The red line can also be written as :
Only the start is shaded:
-3 ≤ x < 2
Listing out the values :
Blue line :-1 ≤ x ≤ 4
-1, 0, 1, 2, 3, 4
The red line : -3 ≤ x < 2
-3, - 2, - 1, 0, 1, 2
Combining both values :
-3, - 2, - 1, 0, 1, 2, 3, 4
76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?
Answers
2x = 30
x = 15
in a class of 30 students, 5 have a brother and 23 have a sister. there are 2 students who have a brother and a sister. what is the probability that a student has a sister also has a brother
Answers
lmk if this helped :)
Answer:
2/23
Hope this helps!
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answers
Answer:
452.4 in³
Step-by-step explanation:
Volume half sphere = 1/2 volume sphere
Volume sphere = 4/3πr²
Volume = 4/3*3.14*27 Radius = 1/2(6) . 3³ = 27
Volume ≈ 113.1
Volume Cylinder = Area circle x hieght
Area circle = πr²
Area circle = 3.14 * 9
Area circle = 28.26
Volume cylinder = 28.26 * 12 = 339.12
339.12 + 113.1 = 452.22
Because of rounding it would be ≈ 452.4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
D
76
21. In the last three basketball games,
Paula has scored 21, 25, and
15 points p. Which inequality does
not describe the numbers of points
she has scored?
Ap> 21
Bps 25
cp< 30
Dp 2 10
Answers
Answer:
A
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
for example : 2 < 3 means 2 is less than 3
3 >2 means 3 is greater than 2
Paula's 3 scores are greater than 15 and less than 26
p> 21 implies her score is greater than 21. this is wrong because there is a score of 15
anyone know the answer to this question ?
Answers
Question:
c=3x+80
R=12x- 0.02x^2
R= revenue
C=cost
X=items sold
A) 9x-(0.2x^2+80)
B) x(9-0.2x)-80
C) x(9-0.02x)
D) 9x-0.02x^2+80
Answer:
c) x(9-0.2x)
is the correct answer
PLZ MARK BRAINLIEST
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,463]. The population standard deviation used for the analysis is known to be $14,300.
a. What is the point estimate of the mean salary for all college graduates in this town?
Point estimate
b. Determine the sample size used for the analysis.
Sample size
Answers
Answer:
a. The point estimate was of $44,600.
b. The sample size was of 16.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
a. What is the point estimate of the mean salary for all college graduates in this town?
Mean of the bounds, so:
(38737+50463)/2 = 44600.
The point estimate was of $44,600.
b. Determine the sample size used for the analysis.
First we need to find the margin of error, so:
[tex]M = \frac{50463-38737}{2} = 5863[/tex]
Relating the margin of error with the sample size:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.64.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
For this problem, we have that [tex]\sigma = 14300, M = 5863[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5863 = 1.645\frac{14300}{\sqrt{n}}[/tex]
[tex]5863\sqrt{n} = 1.645*14300[/tex]
[tex]\sqrt{n} = \frac{1.645*14300}{5863}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2[/tex]
[tex]n = 16[/tex]
The sample size was of 16.
One side of a REGULAR OCTAGON is 19 ft.
What is the PERIMETER of this octagon?
feet.
I
Answers
Explanation: Regular octagon means equivalent sides and more.
Answer:
152 ft.
Step-by-step explanation:
19*8 = 152
true or false m angle 5 is greater than m angle 8
Answers
Answer:
True
Step-by-step explanation:
You can see that Angle 5 is slightly greater than 90°, so it is obtuse
Angle 8 is less than 90°, and is acute
Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the area of the triangle in centimeters squared?
Answers
Explanation:
The formula for area of a triangle is:
1/2 • base • height
REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong
Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112
FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared
Have a nice day, hope this helps!
Let Q(x, y) be the predicate "If x < y then x2 < y2," with domain for both x and y being R, the set of all real numbers.
a) When x = −2 and y = 1, is Q(x, y).
a. true
b. false
The hypothesis of Q(−2, 1) is__, which is___. The conclusion is___, which is____. Thus Q(−2, 1) is a conditional statement with a____hypothesis and a_____conclusion. So Q(−2, 1) is____.
b) Give values different from those in part (a) for which Q(x, y) has the same truth value as in part.
c) Give values different from those in part (c) for which Q(x, y) has the same truth values as in part.
Answers
Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is [tex]Q(x,y)[/tex] is predicate that [tex]x<y[/tex] then [tex]x^{2} <y^{2}[/tex]. where [tex]x,y[/tex] are rational numbers.
a)
when [tex]x=-2, y=1[/tex]
Here [tex]-2<1[/tex] that is [tex]x<y[/tex] satisfied. Then
[tex](-2)^{2}<1^{2}[/tex]
[tex]4<1[/tex] this is wrong. since [tex]4>1[/tex]
That is [tex]x^{2}[/tex][tex]>y^{2}[/tex] Thus [tex]Q(x,y)[/tex] [tex]=Q(-2,1)[/tex]is false.
b)
Assume [tex]Q(x,y)=Q(-5,2)[/tex].
That is [tex]x=-5, y=2[/tex]
Here [tex]-5<2[/tex] that is [tex]x<y[/tex] this condition is satisfied.
Then
[tex](-5)^{2}<2^{2}[/tex]
[tex]25<4[/tex] this is not true. since [tex]25>4[/tex].
This is similar to the truth value of part (a).
Since in both [tex]x<y[/tex] satisfied and [tex]x^{2} >y^{2}[/tex] for both the points.
c)
if [tex]Q(x,y)=Q(3,8)[/tex] that is [tex]x=3[/tex] and [tex]y=8[/tex]
Here [tex]3<8[/tex] this satisfies the condition [tex]x<y[/tex].
Then [tex]3^{2} <8^{2}[/tex]
[tex]9<64[/tex] This also satisfies the condition [tex]x^{2} <y^{2}[/tex].
Hence [tex]Q(3,8)[/tex] exists and it is true.
d)
Assume [tex]Q(x,y)=Q(9,10)[/tex]
Here [tex]9<10[/tex] satisfies the condition [tex]x<y[/tex]
Then [tex]9^{2}<10^{2}[/tex]
[tex]81<100[/tex] satisfies the condition [tex]x^{2} <y^{2}[/tex].
Thus, [tex]Q(9,10)[/tex] point exists and it is true. This satisfies the same values as in part (c)
Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.
Answers
Step-by-step explanation:
Hey there!
According to the question;
Side (a) = 4cm
To find : area
Now;
[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]
[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]
[tex]area \: = 4 \sqrt{3} [/tex]
Therefore, area of triangle is 6.92 cm² or 4√(3) cm².
Hope it helps!
Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!
Answers
Answer:
Both are correct
I'm only checking the first page
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.
The 4th page the bottom one is wrong the correct answer is -22.
find the measure of one interior angle in a regular 23-gon
Answers
Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.
The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees
How to calculate the sum of the interior angle of a regular polygon?The formula which is used to calculate the sum of the angle of regular polygon is given by
sum of the interior angles = ( n - 2 ) × 180 degrees
Where,
n is the number of sides
According to the given question.
We have a regular polygon with 23 sides.
⇒ n = 23
Therefore,
The sum of the interior angles of the given regular polygon
= (23-2) × 180
= 3,780 degrees
So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]
Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.
Find out more information about interior angle of a regular polygon here:
https://brainly.com/question/22408868
#SPJ3
Solve using the zero-factor proper (13x + 7)(6x - 7) = 0
Answers
Answer:
x = -7/13 and x = 7/6
Step-by-step explanation:
Using the zero factor property, set each factor equal to zero, and solve for x:
13x + 7 = 0
13x = -7
x = -7/13
Solve the other factor:
6x - 7 = 0
6x = 7
x = 7/6
So, the solutions are x = -7/13 and x = 7/6
Which is the solution to the equation below? 4n+5=25-3n
Answers
Answer:
[tex]n = \frac{20}{7}[/tex]
Step-by-step explanation:
[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]
Answer:
n = 20/7
Step-by-step explanation:
4n+5=25-3n
Add 3n to each side
4n+3n+5=25-3n+3n
7n +5 = 25
Subtract 5 from each side
7n+5-5=25-5
7n = 20
Divide by 7
7n/7 = 20/7
n = 20/7
someone asap
A small factory has 3 machines for producing protractors. The high speed machines produces 61% the protractors but 6% of its output is defective. The medium speed machine produces 24% of the protractors, of which 4%o are defective. The low speed machine, which has a defective rate of 2% produces the remainder.
{a) Draw a tree diagram.
(b) What is the probability of a protractor not being defective given it came from a low speed machine?
(c). Knowing that a protractor is defective, what ls the probability it came from the high speed machine?
Answers
Which expression can be used to convert 22 Australian dollars to US dollars? Assume 1.2 Australian dollars equals 1 US dollar
Answers
Answer: 26.4
Step-by-step explanation: 1.2x22=
The product of 4 and the depth of the pool
Answers
Answer:
product means multiplication (×) so what ever is the depth of the pool is multiplied by 4
Step-by-step explanation:
what is the depth of the pool?
which number represents 4%
Answers
Answer:
4
Step-by-step explanation:
Find the value of x in each case:
Answers
Answer:
x = 19
Step-by-step explanation:
∠ YWX = ∠ ZYW = 2x ( alternate angles )
The sum of the 3 angles in Δ WXY = 180° , that is
3x - 5 + 2x + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19