base = 4 units
height = 2 units
(1/2).base.height = (1/2).4.2 = 4
area = 4 sq. units
hope it helps...!!!
If the graph of f '(x) has an X-intercept at x = C, which of the following must be true?
A. The graph off has a relative minimum or relative maximum at x = C.
B. The graph off has an inflection point at x = C.
C. The graph off has an x-intercept at x = C.
D. None of the above is necessarily true.
Answer: D
Step-by-step explanation:
f'(C) = 0 ⇒ There is a critical point here
There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.
Select the correct answer.
Rewrite the following expression.
The algebraic expression [tex]x^{10/3}[/tex] is equivalent to the algebraic expression [tex]x^{3}\cdot \sqrt[3]{x}[/tex]. Thus, the right choice is option D.
How to apply power and root properties to rewrite a given expression
In this question we must apply the following set of algebraic properties to simplify a given expression:
[tex]x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}[/tex] (1)
[tex]x^{m+n} = x^{m}\cdot x^{n}[/tex] (2)
[tex]x^{m\cdot n} = \left(x^{m}\right)^{n} = \left(x^{n}\right)^{m}[/tex] (3)
Where:
m, n - Exponentsx - BaseAnd also by apply the definition of power.
If we know that the given expression is [tex]x^{10/3}[/tex], then the equivalent expression is:
[tex]x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}[/tex]
The algebraic expression [tex]x^{10/3}[/tex] is equivalent to the algebraic expression [tex]x^{3}\cdot \sqrt[3]{x}[/tex]. Thus, the right choice is option D.
To learn more on roots, we kindly invite to check this verified question: https://brainly.com/question/1527773
The value of √-9 is not -3 because _____.
A. (-9)^2 ≠ -3
B. 9^2 ≠ -3
C. 3^2 ≠ -9
D. (-3)^2 ≠ -9
Answer:
option d
Step-by-step explanation:
(-3)²=9
(-3)²≠(-9)
According to a recent estimate, there are approximately 8×107
8
×
10
7
pet dogs in the United States and approximately 3×108
3
×
10
8
people. Which statement best compares these populations?
There are about 26.7 times as many pet dogs as people.
There are about 37.5 times as many people as pet dogs.
There are about 3.75 times as many people as pet dogs.
There are about 2.67 times as many pet dogs as people.
Answer:
Option C, There are about 3.75 times as many people as pet dogs
Step-by-step explanation:
Step 1: Determine the ratio
[tex](Amount\ of\ People) / (Amount\ of\ Dogs)[/tex]
[tex](3 * 10^8) / (8 * 10^7)[/tex]
[tex]3.75[/tex]
Answer: Option C, There are about 3.75 times as many people as pet dogs
The Morgan family got their energy bill from Southwest Power Company which showed the following uses of energy, gas usage = 43 therms, electricity usage = 847 kw,
taxes and other charges = $1235. Given the information below, what was the total energy bill for the Morgan family Southwest Power Company has the following rates for
gas and electricity usage: Gas Baseline usage: 30 therms At or below baseline usage: S1 22 pertherm Above baseline usage: 51 52 pertherm Bedriaty Baseline usage
250 Kuh At or below baseline usage: 50 35 per Kah Above baseline usage: 50 51 per Kw
5451 94
$460 81
$469 05
5463 27
None of these choices are correct
ОООО
Answer:
Извини, чувак, но я написал это на русском, чтобы тратить твое время.
Step-by-step explanation:
Извини, чувак, но я написал это на русском, чтобы тратить твое время.
Pls Figure Out the question.
answer
cross multiply each of their estimate with 16 hours
what is £15 reduced by 30%
Answer:
10.5
Step-by-step explanation:
10% = 1.5
1.5 x 3 = 4.5
4.5 = 30%
15 - 4.5 = 10.5
what is the circumference of a circle thats 9m in diameter
Answer:
9pi
Step-by-step explanation: The formula for circumference of a circle is 2*pi*r or the diameter times pi. Since you have the diameter, you can use diameter times pi and simply get 9pi
What’s the difference please help
Answer:
C: [tex]-7ab \sqrt[3]{3ab^{2} }[/tex]
Step-by-step explanation:
Simplify or expand:
[tex]2ab\sqrt[3]{192ab^{2} } - 5\sqrt[3]{81a^{4} b^{5} }[/tex]
Transform the expression:
[tex]2ab\sqrt[3]{4^{3}*3ab^{2} }[/tex] - [tex]5\sqrt[3]{3^{3}*3a*ab^{3} b^{2} }[/tex]
Re-write
Multiply
Combine like terms.
cos(x)(csc(x)+tan(x)) list steps
I just need every step, answer is not important. If you could explain each step, that would be awesome! one or two words is fine.
Answer:
[tex]\displaystyle \cos x \left(\csc x + \tan x\right) = \cot x + \sin x[/tex]
Step-by-step explanation:
We want to simplify:
[tex]\displaystyle \cos x \left(\csc x + \tan x\right)[/tex]
Recall that csc x = 1 / sin x and tan x = sin x / cos x. Substitute:
[tex]\displaystyle = \cos x \left(\frac{1}{\sin x} + \frac{\sin x }{\cos x}\right)[/tex]
Distribute:
[tex]\displaystyle = \frac{\cos x}{\sin x} + \frac{\cos x \sin x}{\cos x} \\ \\ \\ = \frac{\cos x}{\sin x} + \sin x[/tex]
Recall that cot x = cos x / sin x. Hence:
[tex]\displaystyle = \cot x + \sin x[/tex]
In conclusion:
[tex]\displaystyle \cos x \left(\csc x + \tan x\right) = \cot x + \sin x[/tex]
Find the 16th term in the geometric series where the first term is 6 and the
common ratio is 2.
Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term
The nth term is ar^(n-1)
So, for your GP, the 6th term is 6*2^5 = ___
Step-by-step explanation: 10:2021
The value of 16th term in the geometric series is,
⇒ 6th term = 192
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The first term is 6 and the common ratio is 2.
Hence, We can formulate;
⇒ nth term = arⁿ⁻¹
⇒ 6th term = ar⁶⁻¹
⇒ 6th term = ar⁵
⇒ 6th term = 6 (2)⁵
⇒ 6th term = 6 x 32
⇒ 6th term = 192
Thus, The value of 16th term in the geometric series is,
⇒ 6th term = 192
Learn more about the geometric sequence visit:
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What is the value of xin the figure below?
А
х
B5D
с
9
O A. V126
B. 45
O C. 70
D. 14
O E.
9
14
O F. 145
Answer: F
Step-by-step explanation:
(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped bin has an edge length of 12 yard.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Answer:
[tex]\sf V=\dfrac18\: \sf yd^3[/tex]
Step-by-step explanation:
Volume of a cube formula
[tex]\sf V=s^3[/tex]
where:
V = volumes = edge lengthGiven:
s = 1/2 yard[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]
Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]
[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]
[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]
Volume:-
side³(1/2)³1/2³1/8yd³Integrated math 1 homework
Answer:
I, III
Step-by-step explanation:
if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27
Three shelves contain a total of 88 DVD's. The first and second shelves contain a total of 54 DVD's.The second and third shelves contain a total of 57 DVD's.The first and third shelves contain a total of ____ DVD's.
Answer:
Either 27 or 55
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation:
Answer:
x=31, y=23, z=34
Step-by-step explanation:
The first shelf is x. The second shelf is y. The third shelf is z.
x+y=54.
y+z=57
x+y+z=88
You can substitute 54 in for x+y in the third equation to solve for z.
54+z=88
Subtract 54
z=34
Now that you know z, substitute it in in the second equation.
y+34=57
y=23
Finally, substitute the known y value into the first equation.
x+23=54
x=31
Gas prices are projected to increase by 125% Over the next several years. If a gallon of gas currently costs $3.60. What is the projected cost of a gallon of gas?
(If you show work I will give brainliest)
At 8 a.m. Anne left Austin and headed south at 20 mph. At 10 a.m. Gene left from the same place and headed south on the same road. If Anne was 10 miles ahead by 4 p.m. on the same day, what was Gene's speed in mph
Using proportions, it is found that Gene's speed was of 25 miles per hour, as he was 30 miles faster over a period of 6 hours.
What is a proportion?A proportion is a fraction of a total amount.
At 8 a.m. Anne left Austin and headed south at 20 mph, hence when Gene left at 10 a.m., she was 40 mph ahead.
At 4 p.m., that is, 6 hours after Gene left, the distance was of 10 miles, that is, Gene was 30 miles faster in 6 hours, so the difference in the speeds is given by:
d = 30/6 = 5 mph.
Since Anne's speed is of 20 mph, Gene's is given by:
v = 20 + 5 = 25 mph.
More can be learned about proportions at https://brainly.com/question/24372153
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2. True or false? You can only use graphing find the solution to a system of equations if all
the equations are linear.
True
False
Answer:
False
Step-by-step explanation:
Graphing tells you where the solution of the system, or graph intersection occurs no matter what. You can have a quadratic and exponential function -- graphing will always show you where they intersect (or don't!)
BRAINLIEST please if this helped!Answer:
false
Step-by-step explanation:
hope this helps
the temperature was 8 degrees at noon. by 11 p.m., it had dropped 12 degrees. How was the temperature at 11 p.m.
The profit of a company , in dollars, is the difference between the company's revenue and cost. The cost C(x) and revenue, R(x) are functions for a particular company The x represents the number of items produced and sold to distributors
The maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x (the number of items produced) is 380
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
The missing part of question is:
" [tex]C(x)=2000+70x[/tex], [tex]R(x)=830x-x^2[/tex]
A. Determine the maximum profit of the company.
B. Determine the number of items that must be produced and sold to obtain the maximum profit"
The profit is the difference between the revenue and the cost, so we get:
[tex]P(x) = R(x) - C(x) = 760x - x^2 - 2000[/tex]
Finding its first and second rate with respect to x:
[tex]P'(x) = 760 -2x\\P''(x) = -2[/tex]
Equating first rate to 0 to get the critical values:
[tex]P'(x) = 0 \implies 760 = 2x \implies x = 380[/tex]
The second rate is < 0 for any x, x = 380 is minima, and x = 380 being only critical value, it is global maximum.
At x = 380, the profit evaluates to:
[tex]P(x) = 760x - x^2 - 2000\\P(380) = 760(380) - (380)^2 - 2000 = (380)^2 - 2000\\P(380) = 142400[/tex]
Thus, the maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x (the number of items produced) is 380
Learn more about maxima and minima of a function here:
https://brainly.com/question/13333267
explain what is a acute
Answer:
If you meant acute angle, an acute angle is an angle less than 90 degrees, normally greater than or equal to 15 degrees. Acute angles come in many forms.
__________________________________________________________
Questions?Ask in comments.
Answer:
an acute is a type of angle I am learning acute in a 12:15 class
Step-by-step explanation:
could i get some help in next few minutes?
sketch is another part of question but not necessary
Answer:
a) - 8 and 2b) (- 3, - 75)Step-by-step explanation:
Given relation
y = 3x² + 18x - 48a)
Find its zero's
3x² + 18x - 48 = 0x² + 6x - 16 = 0x² + 8x - 2x - 16 = 0x(x + 8) - 2(x + 8) = 0(x + 8)(x - 2) = 0x + 8 = 0 ⇒ x = - 8x - 2 = 0 ⇒ x = 2b)
The vertex of qudratic function is determined at x = - b/(2a)
Applied to this relation, the x- coordinate of vertex is
x = - 18/(3*2) = - 18/6 = - 3Find its y- coordinate
y = 3(-3)² + 18(-3) - 48 = 27 - 54 - 48 = -75The vertex is (- 3, - 75)
Zeros:-
x=-8 and 2#Vertex
y=x²+6x-16y=x²+2(3x)-16+25-25y=x²+2(3x)+9-25y=(x+3)²-25Multiply 3 which we deduced
y=3(x+3)²-75Vertex (-3,-75)
What is another way to make 1.83?
Choose 1 answer:
А
1 one +18 tenths + 3 hundredths
B
O ones + 8 tenths +13 hundredths
O ones + 18 tenths + 3 hundredths
Answer:
0 ones + 18 tenths + 3 hundredths
Step-by-step explanation:
This would be 0 + 1.8 + 0.03, which equals 1.83Answer:
yes it's O ones + 18 tenths + 3 hundredths
Step-by-step explanation:
I took the test
Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point a on the circle that represents the outer track to the center of all the circles, k
more in the photo please help!
Answer:
Answer:
62.8 \: {m}^{2}62.8m
2
Step-by-step explanation:
Radius of outer circle = 6 m
Width of the track = 2 m
So, radius of inner circle = 6 - 2 = 4 m
Area of the track = Area of outer circle - Area of inner circle
\begin{gathered} = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} \end{gathered}
=π6
2
−π4
2
=π(6
2
−4
2
)
=3.14×(36−16)
=3.14×20
=62.8m
2
A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram. ring toss toy
What is the volume of the rectangular prism in cubic centimeters?
Question 10 options:
A. 29 cm3
B. 480 cm3
C. 208 cm3
D. 90 cm3
Answer:
480 i think
Step-by-step explanation:
if not i sorry
Which choice (letter)
Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is 212121 wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row.
For which population is 636363 wins a legitimate estimate of the average longest streak?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Only the top 200200200 longest streaks worldwide in June
(Choice B)
B
Only the top 200200200 longest streaks in Canada in June
(Choice C)
C
Only the top 200200200 longest streaks worldwide from all time
(Choice D)
D
Only the top 200200200 longest streaks in Canada from all time
(Choice E)
E
The longest streaks for all players worldwide in June
Report a problem
3 of 7
Answer:
Choice A
Step-by-step explanation:
End of the question states it, and I did it on Khan :)
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 so option (A) will be correct.
What is mean?The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Mean = sum of data / Number of data
For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be
( 40 + 45+ 44 + 46 + 48) /5 = 44.6.
Given that,
Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row
It means the top 200200200 longest streaks worldwide in June have an average longest streak of 636363.
Hence " Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363".
For more about the mean,
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Use Substitution to solve each system of equations.
Answer:
x = -3
y = -2
(-3, -2)
Step-by-step explanation:
x - 7y = 11
5x + 4y = -23
-----------------------
-5 (x - 7y = 11)
-5x + 35y = -55
--------------------------
-5x + 35y = -55
5x + 4y = -23
39y = -78
÷39 ÷39
y = -2
-----------------------------
x - 7y = 11
x -7(-2) = 11
x + 14 = 11
-14 -14
x = -3
I hope this helps!
could someone please help me urgent :((((
trinomial method factoring
#1
10m²+m-310m²-5m+6m-35m(2m-1)+3(2m-1)(5m+3)(2m-1)#2
4x²-20x+254x²-10x-10x+252x(2x-5)-5(2x-5)(2x-5)(2z-5)#3
6n²+26n-206n²+30n-4n-206n(n+5)-4(n+5)(6n-4)(n+5)Answer:
d). (2m-1)(5m+3)
e). (2x-5)(2x-5)
f). (6n-4)(n+5)
Step-by-step explanation:
Solving by factorisation...
d). 10²+m-3
=> 10m²+6m-5m-3
=> 2m(5m+3)-1(5m+3)
=> (2m-1)(5m+3)
e). 4x²-20x+25
=> 4x²-10x-10x+25
=> 2x(2x-5) -5(2x-5)
=> (2x-5)(2x-5)
f). 6n²-20+26n
=> 6n²+26n-20
=> 6n²+30n-4n-20
=> 6n(n+5)-4(n+5)
=> (6n-4)(n+5)
What is the mean absolute deviation of the following set
of data?
2 2 2 2 2 2 2 2
Answer:
it will be an exponet
Step-by-step explanation:
2 over 8
RATIONAL NUMBERS
-2 4/5 - 6 2/15
Answer:
[tex]- \frac{134}{15}[/tex]
Step-by-step explanation:
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{2\times 5}{5} +\frac{4}{5} \right) -\left( \frac{6\times 15}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{10}{5} +\frac{4}{5} \right) -\left( \frac{90}{15}+\frac{2}{15} \right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{14}{5}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42}{15}\right) -\left( \frac{92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42+92}{15}\right)[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =- \frac{134}{15}[/tex]
[tex]-2\frac{4}{5} -6\frac{2}{15} =-8\frac{14}{15}[/tex]