Answers
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
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Answer:
A'(5,1)
B'(6,-3)
C'(2,3)
Step-by-step explanation:
assuming the translation is right 3, just add 3 to each x value
Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12
Answers
Answer:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
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6=112⁰
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Find the 6th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answers
Step-by-step explanation:
geometric sequence means every new term is created by multiplying the previous term by a certain constant (here 1/3).
s1 = 5
s2 = s1 × 1/3 = 5 × 1/3
s3 = s2 × 1/3 = s1 × 1/3 × 1/3 = 5 × 1/9
sn = sn-1 × 1/3 = s1 × (1/3)^(n-1) = 5 × (1/3)^(n-1)
s6 = 5 × (1/3)⁵ = 5 × 1/243 = 5/243
A stream drops 30 feet in elevation over a horizontal distance of 2640 feet. What is the stream gradient
Answers
The stream gradient of a stream that drops 30 feet in elevation over a horizontal distance of 2640 feet is 0.01136363636.
Stream gradient is the ratio of drop in elevation of a stream per units horizontal distance. Therefore,
stream gradient = vertical change in elevation / horizontal distance
where
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stream gradient = 30 / 2640
stream gradient = 0.01136363636
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identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.
The solution is a = 5 and c = - 5
What is the equation?
Answers
9514 1404 393
Answer:
5x^2 +10x = -5
Step-by-step explanation:
The equation will have one solution when the discriminant is zero.
In standard form, the equation is ...
ax^2 +10x -c = 0
The discriminant of the equation ax^2+bx+c=0 is ...
b^2 -4ac
so the discriminant of your equation is ...
10^2 -4a(-c) = 100 +4ac
We want that to be zero, so we require ...
100 +4ac = 0
25 +ac = 0
ac = -25
Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...
5x^2 +10x = -5 . . . . . the equation with a=5, c=-5
_____
Additional comment
Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.
If you restrict the solutions to integers, then possibilities include ...
(a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)
Answer:
The equation is 5x+10x=-5
Step-by-step explanation:
Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.
Answers
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
Use the long division method to find the result when 12x^3+25x^2+4x-112x
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Answer:
(4x + 3) • (x + 2) • (3x - 2)
Thats finding the root polynomials hope it helps a bit
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Answer:
Step-by-step explanation:
Hola
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Answer:
0.015625
Step-by-step explana
You are in charge of financial services and must calculate overtime pay for employees in your division. Due to a heavy workload, an employee had to do 35 hours of overtime in two weeks. Seven of these hours are at "double time" (i.e. twice usual pay), the rest are at "time-and-a-half". The employee's usual pay is $375 a week at $10 an hour. How much overtime money should the employee be paid for the two week period?
Answers
Answer:
$2,100
Step-by-step explanation:
'regular' pay is 375/10 or $37.50 per hour
'time-and-a-half' would be 37.50 + 18.75 = $56.25 per hour
'double time' would be (2)37.50 = $75.00
35 hours in 2 weeks and 7 hours at 'double time' and 28 at 'time-and-a-half'
so:
(7)75 + (28)56.25 = 525 + 1575
Total overtime pay for 2-week period is $2,100
Plane B is flying 55mph
55
mph
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4275
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Answers
Answer:
It takes around 5s for each plane to travel their respective distances.
Step-by-step explanation:
7) (Extra Credit) A chemist needs to mix a 12 % solution with a 20% solution to obtain 180 ounces of a 15% solution. How many ounces of each of the solutions must be used? 12%________ 20%__________
Answers
Answer:
Step-by-step explanation:
Let x be the amount of 12%
Let y be the amount of 20%
x + y = 180
x = 180 - y
x(0.12) + y(0.20) = 180(0.15)
(180 - y)(0.12) + y(0.20) = 27
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Answers
Answer:
-0.045
Step-by-step explanation:
you first take the derivate of A(t)
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A'(t)=-0.07e^-0.05t
so when t=0
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do the same thing,
-0.07e^-0.05(9) ---use calculator
-0.045
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B. f(x) = -f(x)
C. -f(x) = f(-x)
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Answers
[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]
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really is HIV positive.
Answers
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
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[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
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Step-by-step explanation:
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Answer:
x+2=10
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x minus 2 = 10
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Answer:
what he said ex for x-2=10 thats naught rite the correct are:
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Step-by-step explanation:
did it on the test!!!
Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?
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Answer:
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Step-by-step explanation:
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Answers
Answer:
89.6°F
Step-by-step explanation:
hope this helps
have a good day or night
Answer:
89.6∘F
Step-by-step explanation:
[tex](32 * \frac{9}{5}) + 32\\\rule{150}{0.5}\\ 57 . 6 + 32\\\\\boxed{89.6}[/tex]
32∘C should be 89.6∘F.
Hope this helps.
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Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2
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Answer:
Step-by-step explanation: to find the slope rise over run
Acute triangle from one point to the other
Answer 4/11
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dollars
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Answer:
I don't know ✌️. ..............
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Answer:
The answer is 14
Step-by-step explanation:
c - 4 = 10
c = 10 + 4
c = 14
Answer: c = 14
Step-by-step explanation:
14 - 4 = 10
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Answer:
3. is your correct answer ok
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Cuál es la altura (h) del velero
Answers
Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m
Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.
El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.
Podemos usar la relación trigonométrica:
Tan(θ) = (cateto opuesto)/(cateto adyacente)
Reemplazando los valores que conocemos, obtendremos:
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please give explanation and answers for brainlist
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Answer:
y - (-1) = 6/15 (x - 4)
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15y = 6x -24 -15
15y = 6x - 39
Step-by-step explanation:
try hard