LINK = REPORT
Simplify.
(-8^3)^2
A) (-8)
B) (-8)^5
C) (-8)^6
D) 16^3
And please answer this one if you can!
(4^3)^5
A). 4^-2
B). 4^3
C). 4^8
D). 4^15
I will give brainliest if the answer is right!
Answers
Answer:
Part 1:
(-8)^6
Part 2:
4^15
When raising a number to a power and then that value to another power, you can multiply the exponents.
Related Questions
show that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5
Answers
Answer:
The statement is false.
Step-by-step explanation:
We know that all integer numbers can be written as a product of prime numbers.
For example:
15 = 5*3
15 is a product of two prime numbers, 5 and 3.
28 = 2*2*7
28 is the product of two prime numbers, 2 two times, and 7.
Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.
Now, let's try to find a counterexample to see if this is false.
The first idea that comes to mind is, what with a set of 9 positive prime numbers?
(2, 3, 5, 7, 11, 13, 17, 19, 23)
So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)
And another counterexample could be:
(2, 3, 5, 7, 11, 13, 17, 6, 10)
Here 6 = 2*3
10 = 2*5
So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.
So we found two counterexamples of the statement, so we can conclude that the statement is false.
which values are solutions to the inequality below? √x > 25?
Answers
Answer:
C and D
Step-by-step explanation:
So basically when u square -5 or +5, u get 25 either way
And since the square root of x is greater than or equal to 25, u can use both of them for answers.
a river flows due south at 1.2 miles per hour. A swimmer attempting to cross the river heads due east swiming at 3 miles per hour relative to the water. In what direction should the swimmer head in order to arrive at a landing spot due east of his starting point
Answers
Answer:
The swimmer must move in the direction 338.2°
Step-by-step explanation:
Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular, the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.
The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph
So, θ = tan⁻¹(-1.2 mph/+ 3mph)
θ = tan⁻¹(-1.2/3)
θ = tan⁻¹(-0.4)
θ = -21.8°
θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)
θ = 338.2°
So, the swimmer must move in the direction 338.2°.
What is the volume of this triangular prism
Answers
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
I need help with 1-6
Answers
Answer:
1.25π
π/9
-17π/12
-7π/9
5π/12
-5π/3
Step-by-step explanation:
To convert degrees into radians mulitply it by π/180
225/180=1.25
1.25π
20/180=1/9
π/9
-255/180= -17/12
-17π/12
-140/180=-7/9
-7π/9
75/180=5/12
5π/12
-300/180= -5/3
-5π/3
15th term of the sequence an = -3n+50
Answers
Answer:
The 15th term is 8
Step-by-step explanation:
Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is 25°. What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is 200 ft?
A.85 ft
B.181 ft
C.93 ft
D.429 ft
Answers
g Consider a multiple-choice question exam consisting of 20 questions. Assume that each question has five possible choices, and only one of them is correct. If a student is going to guess solutions at the exam, what is the probability that he answers at most three of them are correct
Answers
Answer:
0.4114 = 41.14% probability that he answers at most three of them are correct
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20 questions:
This means that [tex]n = 20[/tex]
Assume that each question has five possible choices, and only one of them is correct.
This means that [tex]p = \frac{1}{5} = 0.2[/tex]
What is the probability that he answers at most three of them are correct?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.2)^{0}.(0.8)^{20} = 0.0115[/tex]
[tex]P(X = 1) = C_{20,1}.(0.2)^{1}.(0.8)^{19} = 0.0576[/tex]
[tex]P(X = 2) = C_{20,2}.(0.2)^{2}.(0.8)^{18} = 0.1369[/tex]
[tex]P(X = 3) = C_{20,3}.(0.2)^{3}.(0.8)^{17} = 0.2054[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0115 + 0.0576 + 0.1369 + 0.2054 = 0.4114[/tex]
0.4114 = 41.14% probability that he answers at most three of them are correct
An equation that models the height of an object dropped from the top of a building is y= -16x^2 + 30 where x is time in sec. Another equation, y= 14, models the path of a flying bird in the air. Write a system of equations, and then solve to find how many seconds the object is in the air before it crosses the birds path
Answers
Answer:
1 second
Step-by-step explanation:
The 2 equations are
y = - 16x² + 30 → (1)
y = 14 → (2)
Substitute y = 14 into (1)
14 = - 16x² + 30 ( subtract 30 from both sides )
- 16 = - 16x² ( divide both sides by - 16 )
1 = x² ( take the square root of both sides )
x = [tex]\sqrt{1}[/tex] = 1
The object is in the air for 1 sec before it crosses the bird's path
Given that the measure of Angle CDB = 31 degrees find the indicated
measures for angle 1 and 2.
Answers
Answer:
angle 1=149°
angle 2=31°( because they are alternating angles)
What is the solution of the system of equations?
y = 2x
Y = x+ 5
Ob. (2,7)
Oa. (0,5)
Oc. (1 2/3,6 2/3)
Od. (5, 10)
Answers
The solution of system of equations is (5, 10)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2x ...(1)
y=x+5...(2)
Let us plug in equation 2 in equation 1
x+5=2x
Subtract x from both sides
x=5
Now plug in x value in equation 1
y=2×5
y=10
Hence, the solution of system of equations is (5, 10)
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ7
Which of the following numbers must be added to complete the square in the
equation below?
x^2 +9x+15 = 11
A.-81/4
B.9/2
C.81/4
D. 81
Answers
Answer:
C
Step-by-step explanation:
Take the coefficient of the linear term and divide it by 2
9/2
Then square it 81/4
That should either be added to the 11 or subtracted from the 15.
The answer is C
What is the measure of n?
Answers
Given:
A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.
The measure of the altitude is n.
To find:
The value of n.
Solution:
According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.
Let the altitude h divides the hypotenuse in two parts with measure a and b, then
[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]
[tex]h^2=ab[/tex]
[tex]h=\sqrt{ab}[/tex] [Because side length cannot be negative]
In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.
Using altitude on hypotenuse theorem, we get
[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]
[tex]n^2=4\times 8[/tex]
[tex]n^2=32[/tex]
[tex]n=\sqrt{32}[/tex]
Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.
In the diagram below which ratio is equal to sin R
Answers
What is a complete list of factors of each term in the expression 16a+18ab
Answers
Answer:
Step-by-step explanation:
the last answer looks good
Let x be a continuous random variable that follows a normal distribution with a mean of 185 and a standard deviation of 20. Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869. Round your answer to two decimal places.
Answers
Answer:
x = 209.2
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.
Mean of 185 and a standard deviation of 20.
This means that [tex]\mu = 185, \sigma = 20[/tex]
Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.
This is X when Z has a p-value of 0.8869, so X when Z = 1.21.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.21 = \frac{X - 185}{20}[/tex]
[tex]X - 185 = 20*1.21[/tex]
[tex]X = 209.2[/tex]
So
x = 209.2
Sequences:
See the following attached image, where you can see sets of circles, which follow a certain pattern:
Number of circles in next row 6: 21 circles, and row 7: 28 circles
1) Determine the number of circles in the nth pile (general term)
2) What is the number of circles when n tends to infinity?
Answers
Answer:
The sequence is
1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...Each term is the sum of the consecutive numbers from 1 to that number.
The nth term is the sum of the first n numbers:
aₙ = 1 + 2 + 3 + ... + naₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)aₙ = n(n + 1)/21) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answers
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
E09 Review
Scores on "The ability to do quantitative thinking" test are normally distributed with a mean of 250 and a standard deviation of
25. Brandi scored at the 81st percentile on this test. What was her test score?
is the test score for Brandi.
Answers
Answer:
272 is the test score for Brandi.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 250 and standard deviation of 25:
This means that [tex]\mu = 250, \sigma = 25[/tex]
Brandi scored at the 81st percentile on this test. What was her test score?
The z-score of her score of X has a p-value of 0.81. This means that her score is given by X when Z = 0.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.88 = \frac{X - 250}{25}[/tex]
[tex]X - 250 = 0.88*25[/tex]
[tex]X = 272[/tex]
272 is the test score for Brandi.
PLS ANSWER RN
The coordinates of points A and B are A(
4-2) and B(12, 10). What are the coordinates of the point that is
is?
of the way from A to B?
Answers
Answer:
So, the answer in short is B) (6,1)
Step-by-step explanation:
If you graph the points, then you see that point A is 8 points away from point B on the X-axis. If you take 8 and divide it by 4, you get 2, so that means that the 1/4 way point is 2 points away from point A, giving you 6 as your x-axis point for this new point. B is the only one with 6 as its spot on the x axis, leaving B as the only choice. BTW you're pretty cute ;)
The quotient of a number and 0.004 is 60. Find the number
Answers
Answer:
Step-by-step explanation:
x/.004 = 60
solve x
x = .24
Can someone Please help me
Answers
Answer:
Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627
Step-by-step explanation:
Find the perimeter of the figure
Answers
Answer:
no.6 is 22in. while in no.7 is 18cm
Find the quotient: 28 ÷ 4 2/3
Answers
Answer: = 6
Step-by-step explanation: Hope this help :D
please answer 4 - 9 will mark brainlyist
Answers
There are 180 degrees in a triangle
4. 38+38= 76 degrees
180-76=104
Isosceles, Obtuse
5. 65+ x+x=65
Well we know one of the x
It is 90 degrees because it is a right angle
65+90=155
180-155=25
Scalene, Right triangle
6. 71+45= 116
180-116=64
7. Scalene, acute
8. 126+22=148
180-148=32
Scalene, Obtuse
9. 50+90=140
180-140=40
Right angle, Scalene
Please let me know if i got anything wrong
A solid has 4 faces and 4 vertices.
How many edges does it have?
Euler's Formula: F + V - E = 2
Enter
Answers
Euler’s Formula: F+V=E-2
Substitute
4+4=E-2
4+4=8
8-2=6
There are 6 edges, hope this helps!!! Good luck!
Markus is finding that it takes too long to track down all of the groceries he needs to buy from a given store. GroceryGrabbr to the rescue! The app allows Markus to input his shopping list and search for his local grocery store in GroceryGrabbr's database. If his grocery store is there, Markus is all set to go! The database stores grocery items, cost, and item location information for each grocery store. When Markus walks into the store, a notification pops up on his smartphone letting him know that GroceryGrabbr is ready to get to work. Each of Markus' grocery items is displayed one at a time, along with the aisle number and shelf location. After Markus grabs his items off the shelf, he hits a button on the app to navigate to the next item. The list of items is arranged so that Markus follows the most efficient path through the grocery store. When Markus finishes shopping, the total amount of money his groceries cost is displayed, which allows him to double check the total cost with the cashier. GroceryGrabbr pays grocery stores a small amount of money for each user who successfully uses the app and checks out of the store with over one hundred dollars worth of groceries.
Which of the following data must be obtained from the user's smartphone in order for GroceryGrabbr to suggest the order for picking up groceries?
a) the grocery list the user input
b) the location of the grocery store
c) the user's photo album on their smartphone
d) the user's current location
Answers
Answer:
A. The grocery list the user input
Step-by-step explanation:
8x+152=224 Please help! (Show your work!)
Answers
Answer:
[tex]8x + 152 = 224 \\ 8x = 72 \\ x = 9[/tex]
100 points
(algebra one)
describe and correct the error in comparing the graphs
actually answer this please!!
Answers
9514 1404 393
Answer:
The description of the translation direction should be "up", not "down."
Step-by-step explanation:
The blue graph of y = x²+3 is above the graph of the parent function y = x². That is, it is a copy of y = x² that has been moved (translated) up.
The correct description is ...
The graph of y=x²+3 is a translation 3 units up of the graph y=x².
George was riding his bike by some construction, and apparently got a nail in his tire. 5 days later he realized that the tire was losing air, and at that time it had a pressure of 52 pounds per square inch (PSI); he didn t have time to x it then, and then 8 days after getting the nail the pressure was down to 46 PSI.
(a) Write a linear equation giving the tire pressure (P) in pounds per square inch in terms of the number d of days since he got the nail in his tire.
Answers
Answer:
P(d) = 62 - 2d
Step-by-step explanation:
P = pound per square inch
d = days
(52 - 46) / 3 = 2
46 + 2 * 8 = 62