Answer:
3\(\sqrt{5}\)
Step-by-step explanation:
\(6^{2} +x^{2} =9^{2}\)
x=\(\sqrt{9^{2} -6^{2}}\)=\(\sqrt{81-36}\)=\(\sqrt{45}\)=3\(\sqrt{5}\)
Consider the following. f(x) = Jex ifx <1 a =1 x2 if x 2 1 (a) Find the left-hand and right-hand limits at the given
value of a. lim f(x) 2.71828 X - 17 X lim f(x) E 1 x -+ 1
The left-hand limit of f(x) at x = 1 is Jex, and the right-hand limit is 1.
To find the left-hand and right-hand limits of the function f(x) at the given value of a, we need to evaluate the function as x approaches 1 from the left and from the right.
Let's start with the left-hand limit:
lim f(x) as x approaches 1 from the left
Since the function f(x) is defined differently for x < 1 and x ≥ 1, we only need to consider the first part of the function when x < 1. In this case, f(x) = Jex. As x approaches 1 from the left, the value of f(x) will approach Jex.
Now let's consider the right-hand limit:
lim f(x) as x approaches 1 from the right
When x ≥ 1, the function f(x) is defined as x^2. As x approaches 1 from the right, the value of f(x) will approach 1^2 = 1.
So, the left-hand limit of f(x) at x = 1 is Jex, and the right-hand limit is 1.
Please note that the exact values of Jex and 1 will depend on the specific value of a, which is not provided in the question.
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which is the correct answer and pls explain why
after every trip pete takes to the automatic carwash he finds a new ding in his car. he concludes that this automatic carwash damages cars. he is relying on what source of knowledge?
Pete relies on personal observations and experiences as empirical evidence to support his belief about the automatic carwash damaging cars.
In this scenario, Pete is relying on empirical evidence as his source of knowledge. Empirical evidence is based on direct observation or experience. Pete's belief that the automatic carwash damages cars stems from the repeated occurrences of finding new dings in his car after each visit. He has personally observed this cause-and-effect relationship, leading him to conclude that the automatic carwash is responsible for the damages.
Pete's reliance on empirical evidence is grounded in his own experiences and perceptions. It is important to note that while empirical evidence can be valuable in forming beliefs and drawing conclusions, it is also limited. Pete's individual experiences may not necessarily reflect the broader truth. Other factors such as the specific carwash he visits, the condition of his car prior to the wash, or even coincidental events could contribute to the dings on his car.
To validate his conclusion, Pete could consider gathering additional evidence from other car owners who use the same automatic carwash or seek expert opinions from professionals in the automotive industry. This would provide a more comprehensive and reliable understanding of the situation.
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Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.
Answer: Jamal
Step-by-step explanation:
7/9 = 0.777...
5/8 = 0.625
Therefore, Jamal has a higher probability of making it in.
Answer:
Jamal
Step-by-step explanation:
7/9= 0.77
5/8= 0.62
Jamal has a higher probability of making it
I need help right now!
Which expression is equivalent to 5(−2.3b − 4.1) − (7b + 0.7)?
−18.5b − 21.2
18.5b − 21.2
−18.5b − 3.4
18.5b + 3.4
Answer: B (18.5b-21.2)
The required expression −18.5b − 21.2 is equivalent to the given expression which is the correct answer that would be option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given the expression below as
5(−2.3b − 4.1) − (7b + 0.7)
Open the parentheses and apply the distributive property of multiplication,
⇒ −2.3b × 5 − 4.1 × 5 − 7b - 0.7
⇒ -11.5 - 20.5 − 7b - 0.7
Rearrange the likewise terms and apply the arithmetic operation,
⇒ −18.5b − 21.2
Hence, the required expression −18.5b − 21.2 is equivalent to the given expression.
Thus, the correct answer would be an option (A).
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Use the compound interest formula to determine the final value of the given amount.
$900 at 7% compounded annually for 6 years
The final value is $ ?
Answer:
1,931.99$ is the answer
in standard form when do we put a negative power and a positive one
Answer:
Step-by-step explanation:
for negative power,you put it when you're counting backwards
for example,
writing standard form of 0.000 0012 will be
1.2 x 10^-6 (1.2 into ten to the power minus 6)
the decimal is going backwards in order to get 1.2 and it has skipped 6 digits/numbers in between.
for positive power,it is when you go forward
for example,
writing standard form of 8000 will be
8 x 10^3 (eight into ten to the power 3)
there is no decimal in 8000,so we move the decimal from the very last 0(zero)
I'm not sure if helped you
The depth of the ocean is sometimes measured in fathoms ( 1 fathom =6 feet). Distance on the surface of the ocean is sometimes measured in nautical miles ( 1 nautical mile =6076 feet). The water beneath a surface rectangle 1.10 nautical miles by 2.00 nautical miles has a depth of 13.0 fathoms. Find the volume of water (in cubic meters) beneath this rectangle. Number Units Using multiple attempts will impact your score. 5% score reduction after attempt 1
The volume of water beneath the surface rectangle is 646,239.61 cubic meters.
The depth of the ocean is measured in fathoms, where 1 fathom is equal to 6 feet.
The distance on the surface of the ocean is measured in nautical miles, where 1 nautical mile is equal to 6076 feet.
Now, the water beneath a surface rectangle 1.10 nautical miles by 2.00 nautical miles has a depth of 13.0 fathoms.
Volume of water = length × breadth × depth
Volume of the rectangle = 1.10 nautical miles × 2.00 nautical miles × 13.0 fathoms
= (1.10 × 6076 feet) × (2.00 × 6076 feet) × (13.0 × 6 feet)
= 22,840,307.2 cubic feet
To convert cubic feet into cubic meters, we use the conversion factor:
1 cubic meter = 35.315 cubic feet
Therefore, the volume of water in cubic meters = 22,840,307.2/35.315
= 646,239.61 cubic meters (approximately)
Thus, the volume of water beneath the surface rectangle is 646,239.61 cubic meters.
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I've gotten stuck w/ this one, (the t/6 is in a fraction form, t is over the 6)
\(t/ 6-3=8\)
Answer:66
Step-by-step explanation: t/6-3=8
The goal is to solve for t
To get t on its own we need to get rid of -3
The only way to do that is to add 3 to both sides of the equation. In maths what we do to one side we must do to the other
t/6-3+3=8+3
t/6=11
To solve for t we need to do the opposite of divide by 6
That is to multiply both sides by 6
6*(t/6)=11 x6
t=66 note the 6 divided by 6 gives 1 instead of saying 1t we say t
1. Find parametric equations of the line containing the point (0, 2, 1) and which is parallel to two planes -x + y + 3z = 0 and −5x + 3y + 4z = 1. (1) cross (X) the correct answer: |A|x = 5t, y = 2
The correct answer is (X) |A|x = 5t, y = 2 - 5t, z = t.
Parametric equations of the line, we need to find a direction vector for the line that is parallel to both planes. The direction vector can be found by taking the cross product of the normal vectors of the two planes.
The normal vectors of the given planes are n1 = (-1, 1, 3) and n2 = (-5, 3, 4).
Step 1: Take the cross product of the normal vectors: n = n1 x n2 = (1, -8, 8).
Step 2: The direction vector for the line is the normalized form of n, which is d = (1/3) * (1, -8, 8) = (1/3, -8/3, 8/3).
Step 3: Write the parametric equations of the line using the point (0, 2, 1) and the direction vector d:
x = 0 + 5t = 5t,
y = 2 + (-8/3)t = 2 - 5t,
z = 1 + (8/3)t = 1 + 8t/3.
Therefore, the correct answer is |A|x = 5t, y = 2 - 5t, z = t.
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For a regular 36-sided polygon, what is the degree of rotation?
360-gon all have 80-degree rotational symmetry.
Answer:
360-gon all have 80-degree rotational symmetry.
Step-by-step explanation:
Suppose you independently flip a coin 6 times and the outcome of each toss can be either head or tails. Calculate the probability that you obtain exactly 3 heads? (5 marks) (b) If failures of the electronic device occur according to a Poisson distribution with an average of 3 failures every 12 months, calculate the probability that there will not be more than one failure during a particular month. (5 marks) 6. X is a random variable that follows normal distribution with mean u=25 and standard deviation o = 5. Find (i) P(X <30) (3 marks) (ii) P(X> 18) (3 marks) (iii) P(25 < X < 30) (4 marks)
a) the probability of exactly 3 heads when flipping a coin 6 times is 0.25. b) the probability that there will not be more than one failure during a particular month is approximately 0.7788.
(a) To calculate the probability of obtaining exactly 3 heads when flipping a coin 6 times, we can use the binomial probability formula. The formula is given by P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, p is the probability of success on a single trial, and C(n, k) represents the binomial coefficient.
In this case, n = 6 (number of coin flips), k = 3 (number of heads), and p = 0.5 (since the coin is fair). Plugging these values into the formula, we get P(X = 3) = C(6, 3) * (0.5)^3 * (1-0.5)^(6-3).
The binomial coefficient C(6, 3) can be calculated as C(6, 3) = 6! / (3! * (6-3)!) = 20.
Substituting these values, we have P(X = 3) = 20 * (0.5)^3 * (0.5)^3 = 20 * 0.125 * 0.125 = 0.25.
Therefore, the probability of obtaining exactly 3 heads when flipping a coin 6 times is 0.25.
(b) The Poisson distribution can be used to model the number of events occurring in a fixed interval of time or space, given the average rate of occurrence. In this case, the average rate is given as 3 failures every 12 months, which can be interpreted as an average rate of 3/12 = 0.25 failures per month.
To find the probability that there will not be more than one failure during a particular month, we can use the Poisson probability formula. The formula is given by P(X = k) = (e^(-λ) * λ^k) / k!, where λ is the average rate and k is the number of events.
In this case, λ = 0.25 (average rate) and we want to find P(X ≤ 1).
P(X ≤ 1) = P(X = 0) + P(X = 1) = (e^(-0.25) * 0.25^0) / 0! + (e^(-0.25) * 0.25^1) / 1!
Simplifying, we have P(X ≤ 1) = e^(-0.25) + (e^(-0.25) * 0.25) = 0.7788.
Therefore, the probability that there will not be more than one failure during a particular month is approximately 0.7788.
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GIVING BRAINLIEST AND 39 points I3. Pls help with all !Which cellular process occurs within the
organelle shown above? sc.8.L.18.2
A cellular respiration
B photosynthesis
C transport of phloem
D transport of xylem
or
A school needs 6,062 slices of pizza for a pizza party. If each pizza has 14 slices, how many pizzas should the school buy?
Answer:
433 pizzas
Step-by-step explanation:
6062 / 14 = 433
Help me please!!! …..
Answer:
7/25= 14/50 3/10= 15/50 common denominator: 50 so, 7/25 < 3/10
5/8 times by 1/12
What is the answer in its simplest form?
Answer: 5/96
Step-by-step explanation:
The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals. Approximately what percentage of the population does this represent
The upper class represents approximately 1-2% of the population. The upper class is composed primarily of CEOs, government officials, celebrities, and very successful professionals.
This class is the smallest among the five social classes, comprising only a tiny percentage of the population (1-2 percent).Individuals in the upper class are often referred to as the "social elite," as they are frequently born into money, live in luxurious estates, and are members of exclusive clubs. Upper-class individuals usually have excellent education and a variety of skills that have helped them accumulate wealth and power. Therefore, the upper class represents approximately 1-2% of the population.
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How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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a type of variable that can have an infinite number of values within a specified range is:
Answer: Continuous variables
A variable is said to be continuous if it can assume an infinite number of real values within a given interval
Step-by-step explanation: yep
Zara can exchange dollars ($) for pounds (£) at the rate $1 = £0.64. She can exchange dollars ($) for euros (€) at the rate $1 = €0.78. Complete the statement to show the exchange rate between pounds and euros. Exchange rate £1 = €............
Answer:
£1 = €1.21875
Step-by-step explanation:
We have the following exchange rates
$1 = £0.64
and
$1 = €0.78
Equating the two values on the right side since they both convert to $1 gives us
£0.64 = €0.78
Divide both sides by 0.64 to see how much a pound is worth when converted to euros
0.64/0.64 = 0.78/0.64
£1 = €1.21875
Sketch the line 4x+3y=11
sketch of the line 4x + 3y = 11, slope (-4/3), y-intercept of the line y = 11/3
Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:
3y = -4x + 11
y = (-4/3)x + 11/3
Step 2: Identify the slope and y-intercept:
From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.
Step 3: Plot the y-intercept:
On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.
Step 4: Use the slope to find additional points:
Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.
Step 5: Connect the points:
Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.
The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.
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HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP! HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP! HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP! HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP! HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!HELP!please show work
Answer:
12-27+9Y=5+6=90X5=800
Step-by-step explanation:
Can someone not tell me the answer but walk me through this because I don't get what this question is asking.
Which unit rate is equivalent to 15 miles per gallon?
thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons
Answer:
sixty miles over four gallons
Step-by-step explanation:
The “over” word means divide, so let’s change all of these choices into expressions and evaluate them:
thirty miles over three gallons -> 30 mi/3 gal = 10 mi/gal
three gallons over thirty miles -> 3 gal/30mi = 1 gal/10 mi = 0.1 gal/mi (because it is asking for unit rate)
four gallons over sixty miles -> 4 gal/60 mi = 15 gal/mi
sixty miles over four gallons -> 60 mi/4 gal = 15 mi/gal
The problem is asking for which unit rate is equivalent to 15 mi/gal. We see that this fits the last choice (the value and the units). Therefore, the last choice is our answer.
I hope this helps! :)
Answer:
Step-by-step explanation:
It is asking you what is equal if 1g= 15miles.
If 1g=15 miles,
then 2g=30 miles,
3g=45miles,
and etc.
Each gallon can drive for 15 miles, so multiplying the number of gallons by 15 will tell you how many miles that person can drive.
Ex. 1x15=15 miles,
2x15=30 miles
3x15= 45 miles
Hope this helps!
Write AB−⇀− with A(−9, 2) and B(−1, −6) in component form.
⟨−8, −8⟩
⟨8, −8⟩
⟨8, 8⟩
⟨−8, 8⟩
Answer:
<8, -8>
Step-by-step explanation:
X= -1 - (-9) or -1 + 9
Y= -6 - (2)
Answer:
⟨8, −8⟩
Step-by-step explanation:
draw this on graph paper and then count how far the one point is from the other.
The horizontal number goes first, then the vertical.
hope this helps!
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.
Answer:
true for all x
Step-by-step explanation:
3x - 4 ≤ 2
Add 4 to each side
3x - 4+4 ≤ 2+4
3x<6
Divide by 3
3x/3 <6/3
x<2
or
2x + 11 ≥ -1
Subtract 11 from each side
2x + 11-11 ≥ -1-11
2x≥ -12
Divide by 2
2x/2 ≥ -12/2
x ≥ -6
x<2 or x ≥ -6
true for all x
what is the average rate of change in elevation for the road over the first 4km? remember that f(x) stands for hundreds of feet. include units in your answer.
Answer:
3 hundred ft / km
Explanation:
The average rate of change for a function is
\(\frac{f(a)-f(b)}{a-b}\)in our case this is
\(\begin{gathered} \frac{f(4)-f(0)}{4-0} \\ \end{gathered}\)now
f(4) = 19 hundred ft
f(0) = 7 hundred ft
therefore,
\(\frac{19-7}{4-0}\)\(=3(\text{hundred ft/km)}\)which is our answer!
(a) Find the number of integers in the set{1,2,...,120} that are divisible by at least one of 2, 3, 5, and 7. (b) How many of the integers counted in (a) are primes? (c) Of the integers in {1, 2,..., 120} that were not counted in (a), the only one which is not a prime is 1. Explain why all of the others are primes. (d) Use the foregoing results to determine the number of primes s 120.
( A )- We use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.
( B-) There are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.
(C-) n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.
(a) The number of integers in the set 1, 2,..., 120 that are divisible by at least one of 2, 3, 5, and 7 can be found using the principle of inclusion-exclusion. We first find the number of integers that are divisible by each individual prime factor:
Number of integers divisible by 2: 60
Number of integers divisible by 3: 40
Number of integers divisible by 5: 24
Number of integers divisible by 7: 17
Next, we find the number of integers that are divisible by each pair of prime factors:
Number of integers divisible by 2 and 3: 20
Number of integers divisible by 2 and 5: 12
Number of integers divisible by 2 and 7: 8
Number of integers divisible by 3 and 5: 8
Number of integers divisible by 3 and 7: 5
Number of integers divisible by 5 and 7: 3
We continue in this way to find the number of integers that are divisible by three prime factors, four prime factors, and so on. Finally, we use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.
(b) To find the number of primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7, we need to exclude all composite numbers. We can do this by subtracting the number of integers that are divisible by two or more of 2, 3, 5, and 7 from the total number of integers found in part (a):
Number of integers divisible by 2 and 3: 20
Number of integers divisible by 2 and 5: 12
Number of integers divisible by 2 and 7: 8
Number of integers divisible by 3 and 5: 8
Number of integers divisible by 3 and 7: 5
Number of integers divisible by 5 and 7: 3
Number of integers divisible by 2, 3, and 5: 4
Number of integers divisible by 2, 3, and 7: 2
Number of integers divisible by 2, 5, and 7: 2
Number of integers divisible by 3, 5, and 7: 1
Therefore, there are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.
(c) Of the integers in 1, 2,..., 120 that were not counted in part (a), the only one that is not prime is 1. To see why all of the others are primes, consider any composite number n that is not divisible by 2, 3, 5, or 7. By the fundamental theorem of arithmetic, n can be written as a product of primes, none of which are 2, 3, 5, or 7. But since n is composite, it must have at least one prime factor other than 2, 3, 5, or 7. Therefore, n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.
(d) Using the results from parts (b) and (c), we can find the total number
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GEOMETRY PLS HELP!! AB=2x+2 and AC=4x-14
Answer:
x = 8
AB = 18
Step-by-step explanation:
Equilateral triangle:
In an equilateral triangle, all three sides are equal, all three angles are equal, and each angle is 60°.
AC = AB
4x - 14 = 2x + 2
Add 14 to both sides
4x - 14 +14 = 2x + 2 + 14
4x = 2x + 16
Subtract '2x' from both sides,
4x - 2x = 2x - 2x + 16
2x = 16
Divide both sides by 2
\(\sf \dfrac{2x}{2}=\dfrac{16}{2}\)
\(\sf \boxed{\bf x = 8}\)
AB = 2x + 2
= 2*8 + 2
= 16 + 2
AB = 18
Step-by-step explanation:
ATTACHED IS YOUR SOLUTION!It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.
How far apart are his school and his house?
Answer:
2
Step-by-step explanation:
1/5*10
My teacher asked me to round 554 to the nearest hundred. I think the answer is 500. Am I correct???????
Answer:
The answer is no
Step-by-step explanation:
The answer is 600. 5 or more raise the score 4 or less let it rest.