Answers
9514 1404 393
Answer:
a) x = -3
b) 1/250
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
a) It is helpful to know that 216 = 6^3.* Then you would realize that ...
[tex]6^x=\dfrac{1}{216}=\dfrac{1}{6^3}=6^{-3}\\\\x=-3[/tex]
If you don't know that, then you can solve the equation using logarithms. Taking the log of both sides, you have ...
x·log(6) = log(1/216)
x = log(1/216)/log(6) = -3
__
b)
[tex]5^{-3}\times 2^{-1}=\dfrac{1}{5^3}\times\dfrac{1}{2^1}=\dfrac{1}{125}\times\dfrac{1}{2}=\boxed{\dfrac{1}{250}}[/tex]
_____
* This would be on your list of cubes of small integers that you might want to memorize, along with squares of numbers less than 20.
Related Questions
What is 23% of 3500
Does any one know it’s for a test lol
Answers
Answer:
805
Step-by-step explanation:
It's kinda hard to explain but first you would convert 23% to a decimal. To do that, move the decimal 2 places to the left, resulting in 0.23. Then multiply 3500 by 0.23 to get your answer.
9. w +w+w+w:
I’m a little stuck
Answers
Answer:
Step-by-step explanation:
pretty simple, i am sure you know the answer, as you add all the variables=
=4w
Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a function that models the depth of the hole in feet over time in hours.
Answers
Answer:
The function that models the depth of the hole in feet over time in hours is [tex]h(t) = 24 - 12\cdot t[/tex].
Step-by-step explanation:
According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:
[tex]h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t[/tex] (1)
Where:
[tex]h(t)[/tex] - Current depth of the hole, measured in inches.
[tex]h_{o}[/tex] - Initial depth of the hole, measured in inches.
[tex]\Delta h[/tex] - Filled level, measured in inches.
[tex]\Delta t[/tex] - Filling time, measured in hours.
[tex]t[/tex] - Time, measured in hours.
If we know that [tex]h_{o} = 24\,in[/tex], [tex]\Delta h = 6\,in[/tex] and [tex]\Delta t = 0.5\,h[/tex], then the function that models the depth of the hole is:
[tex]h(t) = 24 - 12\cdot t[/tex]
The function that models the depth of the hole in feet over time in hours is [tex]h(t) = 24 - 12\cdot t[/tex].
Which piecewise relation defines a function?
Answers
Answer:
Concept: Functions
A function on an ordinary plane will be continous and discrete. Lets consider the answer choices!C would define a functionwhich is greater -3/4 or -1/2 please this is big test
Answers
Answer:
-3/4 < -1/2
Step-by-step explanation:
have a good day luv! ^^
Which choice shows the coordinates of B’ if the trapezoid is reflected across the x-axis?
A,(-7,2)
B,(2,-7)
C,(7,-2)
C,(-2,7)
Answers
Answer:
The answer is C
Step-by-step explanation:
Edgy 2021 Unit Test
i cant afford to get another wrong one bro
Answers
Answer:
3 & 6
Step-by-step explanation:
right angles will form perpendicular sides, and shapes 3 and 6 are the only ones with right angles
If x=-2 substitute the value of x into the expression and simplify
Answers
Answer:
-17
Step-by-step explanation:
the expression is 6x-5
Substituting x=-2
6(-2)-5
(-12)-5=-17
What is 2.5 divided by 500,000
Answers
Answer:
0.000005
Step-by-step explanation:
ez claps
Answer:
0.000005
Step-by-step explanation:
calculator
Use the following x-values (0, 1, 2, 3) to find ordered pairs for this equation: y = 2x - 3
Answers
Step-by-step explanation:
When x = 0, y = 2(0) - 3 = -3.
When x = 1, y = 2(1) - 3 = -1.
When x = 2, y = 2(2) - 3 = 1.
When x = 3, y = 2(3) - 3 = 3.
The ordered pairs are (0, -3), (1, -1), (2, 1), (3, 3).
Multiply 3x7, Minus 12=
Answers
Answer:
Your answer would be 9
Step-by-step explanation:
hope this helps
pls mak brainliest
Naomi can text 90 words in 12 minutes. At this rate, how many minutes would it take her to text 165 words?
please put it step by step
Answers
Is the answer negative or positive 9-(-6)
Answers
Answer:
Positive
Step-by-step explanation:
The two negatives cancel out so it becomes 9 + 6 = 15
Answer:
Positive
Step-by-step explanation:
two negatives when subtracting makes a positive.
9-(-6) = 15
Why can’t I use exponents?
Answers
Answer:
try to look it up it shows you videos and everything
Step-by-step explanation:
can i please have a thank you heart and brainliest
Answer:
Try using ^# to show an exponent
Explanation:
People will probably still understand it
Hope it helped!
(2 - (- 2)²)² +5 · ( -4)
Answers
Answer:
-164
Step-by-step explanation:
(2 - (- 2)²)² +5 · ( -4)
(2 + 2²) ² +5 · ( -4)
(2 + 2 + 2)² +5 · ( -4)
6² +5 · ( -4)
6 · 6 + 5 · -4
36 + 5 · -4
41 · -4
-164
Hope this helped!
Have a supercalifragilisticexpialidocious day!
what is the equation of a line that has a slope of -2 and goes through the point (-9,1)
Answers
Plug in point
1 = -2(-9) + b
1 = 18 + b, b = -17
Solution: y = -2x - 17
The mean number of songs downloaded by a group of teens last month was 28 with a standard deviation of 3. If the number of songs that Jack downloaded wos one standard deviation below the mean, how many did
he download?
Answers
Answer:
Jack downloaded 25 songsStep-by-step explanation:
The mean = 28The standard deviation = 3One standard deviation below the mean:
28 - 3 = 25Jack downloaded 25 songs
6. The current temperature in Chicago, Illinois is -8° F.
The current temperature in Syracuse, New York is -2° F.
(6 points)
a. Which city has the lower temperature? Explain.
b. Write an inequality comparing the two temperatures:
Answers
An aerial photographer who photographs real estate properties has determined that the best photo is taken at a height of approximately 483 ft and a distance of 858 ft from the building. What is the angle of depression from the plane to the building?
Answers
Answer:
x = distance from the building = 837 ft
y = height = -483 ft (The building is DOWN from the plane.)
θ = angle of depression = to be determined
tan θ = y/x
tan θ = -0.577060932
θ = arctan (-0.577060932)
θ = -29.98756509 ° ≈ -30 ° (The building is DOWN from the plane.)
Step-by-step explanation:
Cited from Yahoo! Answers. Please don't sue me!
Given:
Opposite= 483 ft
Hypotenus= 858 ft
To find:
The angle of depression=?
Solution:
Since they are alternative inner angles, the angles of altitude and depression are equal. Within right-angle triangular, we obtain opposite=483 and hypotenus=858. So, to use a trigonometric ratio, we get[tex]\to \sin \theta =\frac{opposite}{hypotenus} \\\\ \to \sin \theta =\frac{483}{858} \\\\\to \theta = \sin^{-1} (\frac{483}{858}) \\\\\to \theta \approx 34.25^{\circ} \\\\[/tex]
An angle of dip from the plane to the building is [tex]34^{\circ}[/tex]Learn more about the angle of depression:
brainly.com/question/9817377
4 x 4/6 is it equal to, less than, or greater than
Answers
Answer:
Greater than
Step-by-step explanation:
It becomes 8/3
Answer:m no
Step-by-step explanation:
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x)=(x+1)^1/2(x+2)
Answers
It is not a polynomial because there is a fractional exponent.
The probability of spinning an even number on a wheel of 4 and flipping tails is___ (Ive been checking all day and none of the answers are correct)
Answers
Answer:
i think 12
Step-by-step explanation:
Answer:
it's like a 50% probability
(PLEASE HELP THIS IS DUE IN LIKE 10 MIN) What is the measure of angle P
Answers
117
130+110=240
240/101=2.37623762376x the equlatiral line by its invisible circle you get 117
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam and scores in the lower 2.5%, they are eligible for a free intensive course to help them succeed in their math class. Assume that the exam has a normal distribution. What is the score that cuts off the bottom 2.5%
Answers
Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 65, \sigma = 8.2[/tex]
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.96 = \frac{X - 65}{8.2}[/tex]
[tex]X - 65 = -1.96*8.2[/tex]
[tex]X = 48.93[/tex]
The score that cuts off the bottom 2.5% is 48.93.
The sum of a number and 81 is greater than the product of -3 and that number. What are the possible values for the number? (Please help quickly)
Answers
This is the equation
Now plug in possibilities
Anything positive in n will be a negative on the right and that will always be less than the left side
But you put a negative on the left and it will be positive and also will minus from the right
So -1 will work because 80>3
So -2 will work because 79>6
So -3 will work because 78>9
So -4 will work because 77>12
So -5 will work because 76>15
So -6 will work because 75>18
But you see at some point this will not be a true statement so then you answer will be these negative numbers and all positive numbers
Answer: Yeah what the guy above me said.
Step-by-step explanation:
Question
A football team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets:
premium for $8, deluxe for $3, and regular for $1. The total number of tickets sold was 155, and the total amount of money
from raffle tickets was $409. If 19 more deluxe tickets were sold than premium tickets, how many premium tickets were
sold?
Answers
9514 1404 393
Answer:
24
Step-by-step explanation:
Let p, d, r represent the numbers of premium, deluxe, and regular tickets sold, respectively.
p + d + r = 155 . . . . . . . number of tickets sold
8p +3d +r = 409 . . . . . revenue from tickets sold
d - p = 19 . . . . . . . . . . . relation between deluxe and premium tickets
Using the third equation, we can substitute d=19+p in the other two equations.
p + (19+p) +r = 155
8p +3(19+p) +r = 409
Subtracting the first of these equations from the second, we get ...
(11p +r +57) -(2p +r +19) = (409) -(155)
9p = 216 . . . . . . subtract 38 and simplify
p = 24 . . . . . . . . divide by 9
24 premium tickets were sold.
Find the measure of angle x and y
Answers
Answer:
B
Step-by-step explanation:
The total of a kite is 360° so subtract 155 from that to get 205 which divided by 2 is 102.5
Solve equation q-14=12
Answers
Answer:
q=12+14
=26
Step-by-step explanation:
the answer would be 26
Oliver wants to buy a hat that has an original price of $25. The store is having a 20% off sale on everything in the store.
Question: With this sale, what is the final cost of the hat?
Answers
Answer:
$20
Step-by-step explanation:
20% of 25 is 5
5 dollars off $25 is $20
⇒ m∠A + m∠B + m∠C = 180°
⇒ 25° + 25° + m∠C = 180°
⇒ 50° + m∠C = 180°
⇒ m∠C = 180° – 50°
⇒ m∠C = 130°
Answers
Answer:
130
Step-by-step explanation:
