Answers
Related Questions
Work out the value of 2^13 / (2^9)^2
Answers
Answer:
1/32
Step-by-step explanation:
2^13/ (2^9)^2 = 2^13/2^18 = 1/2^5 = (2x2x2x2x2=32) = 1/32
The value of the expression 2¹³ / 2¹⁸ is 1/32.
What is Expression?An expression is combination of variables, numbers and operators.
We have to find the value of 2¹³ / (2⁹)²
From the exponential property [tex](a^m)^n=a^m^n[/tex]
Let us simplify the denominator (2⁹)² = 2¹⁸
The expression becomes of 2¹³ / 2¹⁸
Now let use the property [tex]\frac{a^m}{a^n} =a^m^-^n[/tex]
2¹³ / 2¹⁸
[tex]2^-^5[/tex]
We can write this in the form of fraction 1/2⁵
1/2×2×2×2×2
1/32
Hence, the value of the expression 2¹³ / 2¹⁸ is 1/32.
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a regular polygon has n sides Each exterior angle is 5n/2 degrees find the value of n.
Answers
Answer:
12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Since there are n sides and each exterior angle = [tex]\frac{5n}{2}[/tex] , then
n × [tex]\frac{5n}{2}[/tex] = 360 ( multiply both sides by 2 to clear the fraction )
5n² = 720 ( divide both sides by 5 )
n² = 144 ( take the square root of both sides )
n = [tex]\sqrt{144}[/tex] = 12
The polygon has 12 sides
i need help asap if Simeón could help me in 3 more problems
Answers
Answer:
x=-90
Step-by-step explanation:
x2-5x+10=0 is it quadratic equation? how can i identify the value of a,b,c? help
Answers
B= -5
C= 10
In order to figure it out, you can think about it like this..
a radio station has a daily contest in which a random listener is asked a trivia question. on the first day, the station gives $300 to the first listener who answers correctly. on each successive day, the winner receives 95% of the winnings from the previous day. what is the total amount of prize money the radio station gives away during the contest?
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The radio station gives away a total of $315.79 during the contest.
In the first day of the contest, the radio station gives a prize of $300 to the first listener who answers the trivia question correctly. The amount of the prize decreases by 5% for each day that passes. We are required to find the total amount of prize money the radio station gives away during the contest.Let X be the total amount of prize money given away during the contest. Then we can write the following equation:X = $300 + $285 + $270.75 + $257.21 + …After solving this infinite geometric series, we can find the total amount of prize money that the radio station gives away during the contest.X = a1 / (1 - r), where a1 is the first term and r is the common ratio.Substituting the values of a1 and r, we get:X = $300 / (1 - 0.05) = $300 / 0.95 = $315.79 (rounded to two decimal places)
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On a coordinate plane, 4 points are plotted. Point A is on the y-axis, Point B is at the origin, Point C is at (1, 2), and point D is on the x-axis. Which statements are true? Select all that apply. C is on the y-axis. B is on the y-axis. D is at the origin. B is at the origin. D is on the x-axis. A is on the x-axis.
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Answer:
B is at the origin. D is on the x-axis.
Step-by-step explanation:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
For a point to be on the x - axis, its coordinate on the y- axis is zero. So, for a point on the x- axis with coordinate, x, it is the point (x,0) and it lies on the x axis. So, point D is on the x - axis.
For a point to be on the y - axis, its coordinate on the x - axis is zero. So, for a point on the y- axis with coordinate, y, it is the point (0,y) and it lies on the x axis. So, point A is on the y - axis.
The point C which is at (1,2) lies in the plane x-y since it has both x and y coordinates.
The correct option is B is at the origin. D is on the x-axis.
The following information should be considered:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
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Name three collinear points.
D
А
B)
N
OS
OD
ON
ОА
ОС
DB
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answer _------Three or more points , , , ..., are said to be collinear if they lie on a single straight line. .
PLEASE HELP! WILL MARK BRAINLIEST!
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There are 3 pink marbles, 5 orange marbles, and 8 blue marbles. What is the ratio of blue marbles to the total amount of marbles? Make sure your ratio is in simplest form. *
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Answer:
1:2
Step-by-step explanation:
The total number of marbles is
3+5+8 = 16
blue : total
8 : 16
Divide each side by 8
8/8 : 16/8
1:2
Answer:
1:2
Step-by-step explanation:
There are 16 marbles in total. 3+5+8=16
8 of them are blue so it is 8:16 simplify 1:2
-81 ÷ (-9)× 23(3/4)
Answers
ANSWER: 155.25
EXPLANATION: -81 ÷ (-9)× 23(3/4)
9×69/4
621/4
155.25 answer
please mark as brainliest if it helps
Answer:
[tex] \frac{621}{4} [/tex]
or
[tex]155.25[/tex]
Complete the equation of the line whose y-intercept is (0,5) and the slope is −9
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Complete the sentence. Calculate the circumference of the circle. Use 3.14 for pi . Round the answer to the nearest hundredth. The circumference of the circle is about meters.
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The circumference of the circle is about 10.05 meters
How to calculate the circumference of the circleFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 3.2 inches
The circumference of the circle is calculated as
C = πd
Substitute the known values in the above equation, so, we have the following representation
C = 3.14 * 3.2
Evaluate
C = 10.05
Hence, the circumference of the circle is 10.05 meters
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Question
Complete the sentence. Calculate the circumference of the circle. Use 3.14 for pi . Round the answer to the nearest hundredth.
Diameter = 3.2 inches
The circumference of the circle is about __ meters.
Solve the quadratic equation x(x+1)=8-x. Write your answer as a whole number or fraction
Answers
Answer:
x=-4 or 2
Step-by-step explanation:
x(x+1)=8-x
x^2+x=8-x
x^2+2x-8=0
x^2+4x-2x-8=0
x(x+4)-2(x+4)
(x-2)(x+4)=0
x-2=0
x=2
or
x+4=0
x=-4
help pls im strugglin
Answers
66 is the correct answer
Introduction to permutations and combinations Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D (a) How many ways can this be done, if the order of the choices is taken into consideration? (b) How many ways can this be done, if the order of the choices is not taken into consideration?
Answers
Answer:
(a) there are 12 ways to choose 2 letters, taking the order of the choices into consideration.
(b) there are 6 ways to choose 2 letters, without considering the order of the choices.
Step-by-step explanation:
(a) If the order of the choices is taken into consideration, we are dealing with permutations. We want to choose 2 letters out of 4 without replacement. The number of ways this can be done is calculated using the formula for permutations:
P(n, r) = n! / (n - r)!
In this case, n = 4 (number of letters) and r = 2 (number of choices). Plugging in these values, we get:
P(4, 2) = 4! / (4 - 2)!
= 4! / 2!
= 4 x 3
= 12
Therefore, there are 12 ways to choose 2 letters, taking the order of the choices into consideration.
(b) If the order of the choices is not taken into consideration, we are dealing with combinations. We still want to choose 2 letters out of 4 without replacement, but the order of the choices doesn't matter. The number of ways this can be done is calculated using the formula for combinations:
C(n, r) = n! / (r! * (n - r)!)
In this case, n = 4 (number of letters) and r = 2 (number of choices). Plugging in these values, we get:
C(4, 2) = 4! / (2! * (4 - 2)!)
= 4! / (2! * 2!)
= 4 x 3 / 2
= 6
Therefore, there are 6 ways to choose 2 letters, without considering the order of the choices.
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Let f(x) = 5 - x and g(x) = 2x - 1. Perform the following operation: (g - f)(x).
Answers
Answer:
(g - f)(x) = 3x - 6
Step-by-step explanation:
Step 1: Define
f(x) = 5 - x
g(x) = 2x - 1
Step 2: Find (g - f)(x)
(g - f)(x) = 2x - 1 - (5 - x)
(g - f)(x) = 2x - 1 - 5 + x
(g - f)(x) = 3x - 6
Answer:
3x-6
Step-by-step explanation:
f(x) = 5 - x
g(x) = 2x - 1
(g - f)(x) = 2x - 1 - (5 - x )
Distribute the minus sign
=2x - 1 - 5 + x
Combine like terms
= 3x-6
What is the solution to –4|–2x + 6| = –24?
x = 0
x = 0 or x = –6
x = 0 or x = 6
no solution
Answers
Answer:
x=0 or x=6
.......................................................
A pit at a recreational center contains a total of 2600 red and purple balls. There are 200 more purple balls than three times the amount of red balls in the pit. Write a system of linear equations that represents this situation.
Answers
Answer:
Step-by-step explanation:
P=2975 + r and 4= p - 225
Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car. What part of the expression represents the amount of money she will have to pay in tax? Explain.
Answers
Given :
Sierra is getting her car fixed at a mechanics. The total cost after tax is represented by 0.065(30h) + 30h, where h represents the number of hours it takes to repair the car.
To Find :
What part of the expression represents the amount of money she will have to pay in tax.
Solution :
Total cost , T = 30h( 1 + 0.065)
T = 30h + 30h(0.065)
T = (30h) + (30h )× 6.5 %
Here, 30h is the cost of repairing the car.
Other part shows the tax she have to pay which is 6.5% of the total amount.
Hence, this is the required solution.
It says here to use the information to write a standard form equation of this circle and I can’t find any answer
1) Center: (2, 4)
Radius: V215
Answers
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Using this formula, we can write the equation of the circle with center (2, 4) and radius √215 as follows:(x - 2)² + (y - 4)² = (√215)²
Simplifying this equation, we get:(x - 2)² + (y - 4)² = 215
Thus, the standard form equation of this circle is (x - 2)² + (y - 4)² = 215.
The center of the circle is (2, 4) and the radius is √215.
To write the standard form equation of the circle, we use the formula (x - h)² + (y - k)² = r².
Plugging in the values of the center and radius, we get the equation (x - 2)² + (y - 4)² = 215.
What is Standard Form means?
Standard form refers to a specific way of writing mathematical equations, typically used in algebra. It involves representing an equation as a linear combination of variables and constants, where the variables are raised to the power of one and the coefficients are integers.
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Greatest common factor of 66 and 77, will mark brainlist to the first 1 who gets it right
Answers
Answer:
D (11)
Step-by-step explanation:
77 / 11 = 7
66/11 = 6
Answer:
the factors and prime factorization of 66 and 77. The biggest common factor number is the GCF number. So the greatest common factor 66 and 77 is 11.
Step-by-step explanation:
Among 1600 individuals, the mean weight was 160 pounds with a standard deviation of 50. We wish to know if on the basis of these data, we may conclude that the mean weight of 150 pounds is rejected.
(please explain in full)
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The mean weight of 150 pounds is rejected. The evidence suggests that the mean weight is significantly different from 150 pounds.
To determine whether we can conclude that the mean weight of 150 pounds is rejected based on the given data, we need to perform a hypothesis test.
In this case, our null hypothesis (H0) is that the mean weight is equal to 150 pounds, and the alternative hypothesis (Ha) is that the mean weight is not equal to 150 pounds.
H0: μ = 150
Ha: μ ≠ 150
Where:
μ is the population mean
σ is the population standard deviation
n is the sample size
In this case, we have the following information:
Sample mean = 160
Population standard deviation (σ) = 50
Sample size (n) = 1600
Population mean (μ) = 150 (null hypothesis value)
Let's calculate the z-score:
z = (160 - 150) / (50 / √1600)
z = 10 / (50 / 40)
z = 10 / 1
z = 10
The z-score of 10 indicates that the sample mean is 10 standard deviations away from the null hypothesis mean of 150.
Next, we need to determine the critical value(s) for our hypothesis test. We choose a significance level, often denoted as α, which represents the probability of rejecting the null hypothesis when it is true. Let's assume a significance level of α = 0.05, commonly used in hypothesis testing.
For a two-tailed test at α = 0.05, the critical z-value(s) can be found by dividing α by 2 (since we are looking for values in both tails of the distribution). Using a standard normal distribution table or calculator, the critical z-value is approximately 1.96.
Since our calculated z-score (10) is greater than the critical z-value (1.96), we can reject the null hypothesis.
Therefore, based on the given data, we can conclude that the mean weight of 150 pounds is rejected. The evidence suggests that the mean weight is significantly different from 150 pounds.
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Which of the following terms are part of the "Sum of Minterms" form of the function F = xy + xz +
yz? (All correct answers should be chosen for full credit; no partial credits). ( x'y'z' O xy'z ( x'yz' x'yz ( xy'Z' (
xyz' xyz
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In the "Sum of Minterms" form of the function F = xy + xz + yz, the terms that are part of this form are: x'y'z', xy'z, x'yz', and xyz.
x'y'z' is part of the "Sum of Minterms" form because it represents the minterm where x', y', and z' are complemented (negated).
xy'z is also part of the "Sum of Minterms" form because it represents the minterm where x, y', and z are complemented.
x'yz' is included in the form as it represents the minterm where x', y, and z' are complemented.
Lastly, xyz is part of the "Sum of Minterms" form because it represents the minterm where x, y, and z are not complemented.
These terms represent the individual minterms that are summed together to express the function F in the "Sum of Minterms" form. Each term corresponds to a specific combination of input variables (x, y, and z) where the function evaluates to true.
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Someone help. Will give brainliest
Answers
The least number on that line is -1 and the greatest is 1.5
The order is -1, -.9, 3/4, 1.1, and 1 1/2
Answer:
Step-by-step explanation:
3/4 is 0.75 and 1 1/2 is 1.5
plot the numbers:
1.1, 3/4 , -0.9 , -1, 1 1/2 ( the line is not up to scale)
_|_______|__|_______|_____|___|__|_____|____|_
-2 -1 -0.9 0 3/4 1 1.1 1 1/2 2
the number the least is -1
the number greatest 1 1/2
the correct order from least to greatest is
-1 , -0.9 , 3/4 , 1.1 , 1 1/2
100 square feet of denim for $18.50 OR 150 square feet of denim for $26.75
Answers
Answer:
150 for 26.75
Step-by-step explanation:
26.75/150 is .178
18.5/100 is .185
Helpppo:)))))) pleaseeee
Answers
Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
2x+10=3x-9 solve for x
Answers
Answer:
19 = x :)
Step-by-step explanation:
(see attachment for explanation)
Dina is making a logo and she decides to use a regular polygon. Each interior angle of the polygon measures 140°. What is the number of sides of this polygon?
Answers
Answer:
The polygon has 9 sides (a regular nonagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
[tex]\displaystyle \frac{180(n-2)}{n}[/tex]
The regular polygon used by Dina for the logo is such that each interior angle measures 140°, thus:
[tex]\displaystyle \frac{180(n-2)}{n}=140[/tex]
Multiply by n:
[tex]180(n-2)=140n[/tex]
Operate:
[tex]180n-360=140n[/tex]
Reducing:
[tex]40n=360[/tex]
Solving:
n=9
The polygon has 9 sides (a regular nonagon).
Did I do this right?
Answers
It’s asking you to find what x is when x/10 = 6
So, consider the equation x/10=6
Multiply both sides by 10, and your answer is 60.
Now do this for each one.
A Buggatti can reach a top speed of 300 mph. At this rate, how many more hours would it take for the bugatti to travel 1500 miles if they have already traveled 600 miles?
Answers
Subtract miles traveled from total miles:
1500 - 600 = 900 more miles to go
Divide miles to go by speed:
900 / 300 = 3 hours
3 more hours
Answer:
3 more hours
Step-by-step explanation:
