Answer:
x = -2
Step-by-step explanation:
[tex]8^{x}[/tex] = [tex]\frac{1}{64}[/tex]
So to solve exponent.
8x= 1 /64
log(8x)=log( 1/ 64 ) (Take log of both sides)
x*(log(8))=log( 1 /64 )
x= log( 1 /64 ) / log(8)
x=−2
Hope this helps!
What's 2x to the third
Answer:
8x^3
Step-by-step explanation:
(2x)^3
=(2x)^3
=2x*2x*2x
=8x^3
Which is the Value of x?
X=14
X=28
X=67
X=37
Answer:
x = 28
Step-by-step explanation:
3x - 21 = 63, I am making them equal to each other because of the vertical angle theorem.
3x - 21 = 63, add 21 to both sides
3x = 84, divide 3 to both sides to make x by itself
x = 28
Answer:
=28
Step-by-step explanation:
(3-21)= 633= 63+213= 84= 84:3= 28A circle with center O has radius 25. Chord AB of length 30 and chord CD of length 14 intersect at point P . The distance between the midpoints of the two chords is 12. The quantity OP^2 can be represented as m/n, where and are relatively prime positive integers. Find the remainder when m+n is divided by 1000.
Therefore after using the Pythagorean Theorem and the properties of chords in a circle we got 626 when m+n is divided by 1000.
What is Pythagorean Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Define hypotenuse.The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse.
Let M and N be the midpoints of chords AB and CD, respectively.
Let X and Y be the foot of the perpendicular from P to chord AB and CD respectively.
Since X,Y are on the circle and P is the midpoint of XY,
OP = PX = PY = radius = 25
Now, using the Distance Formula:
(XM)^2 + (YN)^2 = (12)^2
By the Pythagorean Theorem, on triangle PXN and PYM,
(25)^2 + (YN)^2 = (PN)^2 = (14/2)^2 and
(25)^2 + (XM)^2 = (PX)^2 = (30/2)^2
OP^2 = 625 = 25^2
thus m+n = 625 + 1 = 626
and remainder when m+n is divided by 1000 is 626 % 1000 = 626
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Will give branliest to first answer
When they ask for X, you are generally supposed to look at all the points in which the line intercepts the X axis. So that would be -2, 1, and 3.
PS. even if it asked for Y, instead of X, you would do the same thing.
Select the correct answer. A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t
The speed of travel will be 4 m/s.
How do you find the distance traveled in the Nth second?The formula for distance travelled in nth second is given by, Sn = u + a (n – ½).
The body's total distance travelled is equal to the sum of the 10 m it covered in the first five seconds and the 30 m it covered in the following five seconds. The total distance covered is 40 metres. This can be divided by the duration to determine the average speed. Therefore, the average speed is 4 m/s.
Total distance=10+30=40
speed=distance/time=40/10=4m/s
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Two players are stand on a basketball court. The angles of elevation from the foot of each player to the 3.5 meters high basket are 40° and 50°. How far apart are the players from each other?
Please try to answer it with a trigonometric function
Therefore, the players are 6.84 meters apart from each other.
What is a projectile?An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.
What is tangent?The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:
tan(40°) = 3.5/x
tan(50°) = 3.5/(x+1)
We can solve for x in both equations, and set them equal to each other, we get x= 6.84m
Therefore, the players are 6.84 meters apart from each other.
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What is always true about the interquartile range of a data set? Select all that apply.
A.
The interquartile range is greater than the range.
B.
The interquartile range contains the median of the data set.
C.
The interquartile range is less than the range.
D.
The interquartile range contains about 50% of the data set.
The interquartile range is.....
Answer:
Our goal is to understand how range and interquartile range describe data. To do this, we have to define the range and interquartile range of a given set of data, we have to be able to calculate the range and interquartile a range of a given set of data, and then we want to be able to determine how range and interquartile range are impacted by outliers.
So how can you describe data with range and interquartile range? Range tells us if data is grouped closely together or spread far apart. Interquartile range tells us if data is grouped closely around the median. The key concepts. Range is the difference of the maximum and minimum values.
So if we wanted to calculate the range of this particular data set here, we would say 20 minus 1 and get a range of 19. Interquartile range is the difference of the upper and lower quartiles. In order to do this, we first have to find the median to find those upper and lower quartiles. The median of this data set, the value in the middle, is 6. The lower quartile is the median of the lower half, the middle value then of these three data points being 3.
The upper quartile would be the middle of this data set, and that would be 8. So if we wanted to find the interquartile range, we'd subtract those values. 8 minus 3 gives us an interquartile range of 5. Interquartile range describes the spread of data around the median.
A small interquartile range means that most of the data, the middle half, is clustered tightly around the median, whereas a large interquartile range would mean that that data that's in the middle is more spread out. And finally, outliers impact the range, but have little impact on the interquartile range. If we consider our data set here, we see that we have an outlier of 20, but it really only impacts the range.
It does not play a significant role on the interquartile range.
Step-by-step explanation: also brainleist
Hence your answer will be D
Solve the system of inequalities by graphing.
y≤10x–3
y>
–
1
2
x+1
the supplement of an angle is 30 degrees more than the measure of the angle, what is the measure of the angle smaller angle = degrees Greater arogle = degrees
Two supplementary angles equal 180 degrees.
Let the first angle = x
The second angle is 30 degrees more so this would be x + 30
Now add the two angles together to equal 180:
X + x+ 30 = 100
Combine like terms:
2x + 30 = 180
Subtract 30 from both sides:
2x = 150
Divide both sides by 2:
X = 75
One angle = x = 75
The other angle is x + 30 = 75 + 30 = 105
The smaller angle is 75 degrees.
is my answer correct or is it wrong
Answer:
Your answer is wrong, H is the correct answer.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.
For what value of m inequality is always true mx²+3mx+2>0?
Answer:
Step-by-step explanation:
Charlotte is a customer-satisfaction expert at a large pizza company. She took a random sample of 1{,}0001,0001, comma, 000 delivery orders and constructed a one-sample zzz interval to estimate the proportion of delivery orders that take more than an hour to arrive. She decides to repeat this process, but this time she'll use a sample of 4{,}0004,0004, comma, 000 orders. Assume that the point estimates from each sample are approximately equal.What is true about the margins of error from these two samples
The smaller sample's margin of error will be almost twice as great as the larger sample's margin of error.
Calculating the margin of error for a given sample from a population:
Let the level of significance be and the standard deviation of the population be σ and the sample size be n, then we have:
MOE(Margin of Error)= [tex]z_{a/2}\times\frac{\sigma}{\sqrt n}[/tex]
Using the above formula to calculate the margin of errors for two specified samples
For first sample:
Sample size = n(1) = 1000
MOE(1) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {1000}}[/tex]
For second sample:
Sample size = n(2) = 4000
MOE(2) = [tex]z_{a/2}\times\frac{\sigma}{\sqrt {4000}}[/tex]
(since it was given that they have same point estimates, so same standard deviation)
Their ratios are given by
MOE(2)/MOE(1) = [tex]\frac{z_{a/2}\times\frac{\sigma}{\sqrt {4000}}}{z_{a/2}\times\frac{\sigma}{\sqrt {1000}}}[/tex]
MOE(2)/MOE(1) = [tex]\sqrt{\frac{1000}{4000}}[/tex]
MOE(2)/MOE(1) = 1/2
MOE(1) = 2*MOE(2)
Thus, the margin of error from the smaller sample will be about double of the margin of error from the larger sample.
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Which function is the inverse of f
Answer:
Option C
Step-by-step explanation:
Given function is,
f(x) = 9x² - 12
Steps to find the inverse of the given function,
Step 1,
Write the function in the form of an equation,
y = 9x² - 12
Step 2,
Interchange variables 'x' and 'y' in the equation,
x = 9y² - 12
Step 3,
Solve this equation for 'y',
x = 9y² - 12
9y² = x + 12
[tex]y^2=\frac{1}{9}(x + 12)[/tex]
[tex]y=\pm\sqrt{\frac{1}{9}(x + 12)}[/tex]
[tex]y=\pm\frac{\sqrt{(x+12)}}{3}[/tex] Here, x > -12
Step 4,
Covert this equation into function,
[tex]g(x)=\pm\frac{\sqrt{(x+12)}}{3}[/tex]
Therefore, Option C will be the answer.
a ball is dropped from a height of 600 feet. the height of the ball, H, after t seconds can be modeled by the function rule, H(t)=-4.9t^2 + 600. what would be the independent quantity
Answer:
the independent quantity is "t" (time in seconds)
Step-by-step explanation:
The problem statement tells you the function rule gives you H (the dependent quantity) as a function of t seconds. "t seconds" is the independent quantity.
What is the domain of g?
Answer:
of g(x) is the set of all real numbers
Six times a number less 20 is the same as four times the same number increased by 6. Find the number
Answer:
13.
Step-by-step explanation:
SolutionLet X be the number.
Given information from the question, we can formulate an equation:
Six times a number less 20 = 4 times the same number increased by 6
6X - 20 = 4X + 6
From the equation, we can solve for X.
6X - 4X = 6 + 20
2X = 26
X = 26 ÷ 2
X = 13
Therefore the number is 13.
The value of the unknown number is = 13.
Let the unknown number be expressed by the variable = x.
According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:
=> 6x - 20 = 4x + 6
=> 6x - 4x = 6 + 20
=> 2x = 26
=> x = 26/2
=> x = 13
Therefore, the value of 'x' which is the unknown number is 13.
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14
The knob of a baseball bat is circular, as shown. The knob of this baseball bat has a
diameter of 3 inches.
Knob of -
baseball bat
Which measurement is closest to the area of the knob of the baseball bat in square inches?
F
28.26 in?
G
7.06 in
H
9.42 in?
J
21.02 in?
Answer:
its G
Step-by-step explanation:
Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Using it's concept, it is found that there is a 0.054 probability that the next customer will pay with a credit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 56 + 14 + 4 = 74 customers, 4 used credit cards, hence:
p = 4/74 = 0.054.
There is a 0.054 probability that the next customer will pay with a credit card.
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PLEASE HELP ME SOMEONE !!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answer:The found angle D is:
D = 51.7°
Step-by-step explanation:
Plz help me with this no links
Answer:
B
Step-by-step explanation:
Hope this helps :))
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches
Answer:
Step-by-step explain
We know that the campsite is 65 miles north of her town.
There are 63,360 inches in a mile
so, if you multiply it would look like
63,360 x 65 = 4,118,400
so, your answer would be 4,118,400 inches
Tell you
Try It!
Write an inequality to represent each situation.
a. Harry is taller than 60 inches.
b. Sherry is not 4 years old.
c. Hank has at least $7. 50.
The inequality to represent each situation is Harry > 60 inches, Sherry ≠ 4 years, and Hank ≥ $7.50.
a) Harry: This inequality states that Harry is taller than 60 inches. This is likely referring to Harry's height, as most people measure height in inches. This inequality can also be written as Harry ≥ 60 inches, emphasizing that Harry is at least 60 inches tall.
b) Sherry: This inequality states that Sherry is not equal to 4 years. This could be referring to Sherry's age, as it is common to measure age in years. This inequality can also be written as Sherry ≠ 4 years, emphasizing that Sherry is not exactly 4 years old.
c) Hank: This inequality states that Hank is greater than or equal to $7.50. This is likely referring to Hank's amount of money, as it is common to measure money in dollars. This inequality can also be written as Hank ≥ $7.50, emphasizing that Hank has at least $7.50.
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Sara’s English test had 90 questions and she got 18 questions wrong. What percent of the questions did she get correct?
Answer:
80%
Step-by-step explanation:
First we find the percentage she got wrong:
[tex]\frac{18}{90}[/tex] Is the fraction she got wrong, now we convert this into a percentage by divding 18 by 90 and multiplying by 100
18÷90×100=20
so to find the remaining percent we subtract 20 from 100
100-20=80
And our answer is 80
Answer:
80%
Step-by-step explanation:
10%= 9
20%= 18
18= how many they got wrong
90=total questions
90= 100%
18= 20%
100%=20%=80%
A, B & C form a triangle where
∠
BAC = 90°.
AB = 12.2 mm and CA = 8.3 mm.
Find the length of BC, giving your answer rounded to 1 DP.
Answer:
[tex]Pythagoras \ theorem,\\BC^2 = AB^2 + AC^2 = 12.2^2 +8.3^2 =217.73\\\\BC =14.8mm[/tex]
Solve each system by elimination.
1) -3х – бу = -3
5x + 5y = 0
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Find the value of X need ASAP please
Answer:
X= 80
Step-by-step explanation:
1/2% in decimal
please give me my answer Also
I AM NOT ASKING for 1/2 in decimal
I am asking for 1/2 percent in decimal
Answer:
Step-by-step explanation:
We know that : Percentage means 'divided by 100'
therefore, 1/2 percent = 1 / 2 ÷ 100 = 0.5 ÷100 = 5÷1000= 0.005
If you were carrying a credit card balance of $2,000 at a 24% interest rate, what is the interest charge per month on that balance?
Please help me with my hw
Answer:
9m^8 n^2
Step-by-step explanation:
Open up the parenthesis and simplify to find your answer.
Why is halting problem undecidable?
Therefore , the solution of the given problem of tractable problem comes out to be the halting problem is undecidable for Turing machines.
Tractable problem: what is it?a process that completes a manageable task in a polynomial amount of time. The polynomial upper bound is used. If an issue cannot be resolved in a polynomial amount of time, it is referred to as being intractable. The bound's minimum is exponential.
Here,
Alan Turing proved in 1936 that a general algorithm running on a Turing
machine that solves the halting problem for all possible program-input
pairs necessarily cannot exist.
the halting problem is undecidable for Turing machines.
Therefore , the solution of the given problem of probability comes out to be the halting problem is undecidable for Turing machines.
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