Answer:
8 ft
Step-by-step explanation:
By Pythagoras Theorem
\(x = \sqrt{ {10}^{2} - {6}^{2} } \\ \\ x = \sqrt{100 - 36} \\ \\ x = \sqrt{64} \\ \\ x = 8 \: ft\)
Answer: It's 8 :)
Step-by-step explanation: Do the Pythagorean Theorem. a^2 + b^2 = c^2. In every case, c is the hypotenuse, so you do 10^2 = 6^2 + x^2. Then, it becomes 100 = 36 + x^2, then subtract 36 and you get 64. Then, you square root both sides to get 8. Have a great day!
i think its six but you know points for u
Answer:
6 makes the most sense
Step-by-step explanation:
UwU
My friend needs help on the question and I don’t get it, please help
Answer:
$15
Step-by-step explanation:
Jack has saved $4 more than 2/3 as much as Shelly
j = (2/3)s + 4
Total of 29.00
s + j = 29
Substitute for j
s + (2/3)s + 4 = 29
Subtract 4 from both sides
s + (2/3)s = 25
Combine like terms
(5/3)s = 25
multiply both sides by 3/5
s = 15
6 Translate from cylindrical to ractangular coordinates. = 2 4 3 3 23 and z = 15
The cylindrical coordinates (ρ, θ, z) = (2, 4, 3) and (ρ, θ, z) = (3, 23, 15) can be translated to rectangular coordinates as (x, y, z) = (1.236, -1.334, 3) and (x, y, z) = (-1.527, -2.629, 15), respectively.
Cylindrical coordinates represent a point in three-dimensional space using the distance from the origin (ρ), the angle from the positive x-axis (θ), and the height along the z-axis (z). To convert cylindrical coordinates to rectangular coordinates, we can use the following formulas:
x = ρ * cos(θ)
y = ρ * sin(θ)
z = z
For the first set of cylindrical coordinates (ρ, θ, z) = (2, 4, 3), we substitute the values into the formulas:
x = 2 * cos(4) ≈ 1.236
y = 2 * sin(4) ≈ -1.334
z = 3
Therefore, the rectangular coordinates for (ρ, θ, z) = (2, 4, 3) are (x, y, z) ≈ (1.236, -1.334, 3).
Similarly, for the second set of cylindrical coordinates (ρ, θ, z) = (3, 23, 15):
x = 3 * cos(23) ≈ -1.527
y = 3 * sin(23) ≈ -2.629
z = 15
Hence, the rectangular coordinates for (ρ, θ, z) = (3, 23, 15) are (x, y, z) ≈ (-1.527, -2.629, 15).
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7. &Practices Make a Plan One carton of milk costs
$0.99. What is the total cost of 10² cartons of milk?
The total cost of 10² cartons of milk is $99.00.
How to calculate the total cost of 10² (10 squared) cartons of milkThe price per carton must be multiplied by the quantity of cartons.
The price of a milk carton is $0.99.
Number of cartons = 10² = 10 * 10 = 100
Total cost of 10² cartons of milk = Cost per carton * Number of cartons
= $0.99 * 100
= $99.00
So, the total cost of 10² cartons of milk is $99.00.
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In 2015 the population of 895 quail increases at an annual rate of 3.5%. In writing an
exponential function to model the quail population, using f(t) = a(b)+ what is the value
of a
?
and b =
Please help!!
Answer:
y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.
Step-by-step explanation:
hope this helps
If $1400 is invested at an interest rate of 6.75% per year, compounded quarterly, find the value of the investment after the given number of years. (Round your answers to the nearest cent.) (a) 1 year (b) 2 years (c) 10 years $
The value of the investment after (a) 1 year is $1487.96, (b) 2 years is $1586.61, and (c) 10 years is $2654.35.
(a) After 1 year, the value of the investment can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
Substituting the given values, we have A = $1400(1 + 0.0675/4)^(4*1) = $1487.96.
(b) After 2 years, using the same formula, A = $1400(1 + 0.0675/4)^(4*2) = $1586.61.
(c) After 10 years, A = $1400(1 + 0.0675/4)^(4*10) = $2654.35.
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In ∆ABC, AD is the bisector of ∠A meeting side BC at D, find the value of x and then find the length of CD. Set up a proportion and solve for the measure. Show your work and label your answer to get full points. See pages 179 – 182 in your reference guide.
Answer:
30/5 * 3x/x-2 =
15x/30x-60 =
15x = 30x-60=
Subtract 15x from both sides.
30x-60-15x=15~x-15x
Group like terms.
30x-15x-60=15x-15x
Simplify
15x-60=0
Divide both sides by 15
15x/15 = 60/15
Simplify
X= 60/15
Greatest common factor
4*15/1*15
X=4
X=4 CD= 12
Step-by-step explanation:
if your doing this for K12 this is all you'll need to put, very simplified but its accurate.
two step equations
find the value of the unknown variable in the equation
3b+4= - 31
What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.
Answer:
22.608 units
Step-by-step explanation:
Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is \(C=2\pi r\) where \(r\) is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:
\(C=2\pi r\\C=2(3.14)(3.6)\\C=22.608\)
Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.
Answer:
Circumference is...
22.608Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Hope it helps!!!!!brainliest pls!!!!!!!!dont worry I already took this lesson.
a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices selected sample snowball sample stratified sample target population
The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)
The 10 breeding pairs of spotted owls represent a selected sample.
A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.
Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).
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--The given question is incomplete, the complete question is given
" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices
selected sample
snowball sample
stratified sample
target population"--
How do you write a line parallel to 2y=5x+10 and goes through point (6,12)?
To write the equation of a line parallel to 2y=5x+10 and goes through point (6,12), you first need to find the slope of the given line. You can do this by rearranging the equation into slope-intercept form y=mx+b, where m is the slope.
Rearranging 2y=5x+10 gives y=(5/2)x+5. So the slope of the given line is 5/2. Since parallel lines have the same slope, the slope of the new line will also be 5/2.
Next, you can use point-slope form to find the equation of the new line. The point-slope form is y-y1=m(x-x1), where (x1,y1) is a point on the line and m is the slope. Plugging in the point (6,12) and the slope 5/2 gives y-12=(5/2)(x-6).
Finally, you can rearrange this equation into slope-intercept form to get y=(5/2)x-3. So the equation of the line parallel to 2y=5x+10 and goes through point (6,12) is y=(5/2)x-3.
1. Calculate the slope of a line going trough A (-4,3) and B (0,6)
2. Calculate the slope of a line with a run of 3 and a rise of 9
3. Calculate the equation if two points are (1,6) and (5,0)
PLEASEEEE HELP ME WITH 1A. ITS EASY IF YOU KNOW HOW TO DO IT
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
(Lesson 9.8: Other Steady-State Methods.) Consider the following observations: 54 70 75 62 If we choose a batch size of 3, calculate all of the overlapping batch means for me. a. 65.25 b. 62.0, 68.5 c. 66.3, 69.0 d. 65.25 +3 e. None of the above
All of the overlapping batch means for me is (66.3, 69.0).
Given observations:
54 70 75 62
From the given data, if we choose a batch size of 3, then calculating all of the overlapping batch means for me in total
that is :
= 1/3 * (54 + 70 + 75)
= 66.3
and
= 1/3 * (70 + 75 + 62)
= 69.0
So often, the option c is correct from the given
that is 66.3, 69.0
Hence the answer is all of the overlapping batch means for me is (66.3, 69.0).
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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
the graph has a positive slope with a y-intercept of 5
y = 1/4x + 5
Step-by-step explanation:
i found the slope by using points (0,5) and (4,6)
slope formula says to subtract the y-values and divide by difference of x-values:
(6-5) / (4-0) = 1/4
What is a decimal that is equivalent to the fraction 8/10
? Enter the answer in the box.
Answer:
0.8
Step-by-step explanation:
Answer:
.8
Step-by-step explanation:
Find the slope and the y-intercept of the line 6x - 3y = -2
Answer:
Heres ur answer!!
Step-by-step explanation:
Lmk if its correct
List down 5 other objects that could represent a point, a line, a plane.
5 objects that could represent a point, a line, a plane are:
A dot of a chalk on a blackboard: A dot is a point so it is an object that could represent a point.Railway tracks: They represent parallel lines and they are never ending. Lines do not end.Blackboard: A blackboard can be represented by a plane.A sharpened pencil: We see that a pencil which is sharpened is an example of a line because it represents the figure of a line.Laptop: A laptop is a plane.Hope you could understand.
If you have any query, feel free to ask.
Planes, points and lines are the undefined terms of geometry.
A point is simply a dot, and it can be formed as follows:
A dot made by a chalkA dot made by the tip of a penA line extends indefinitely on both sides. So, we can represent a line by:
A straight roadThe legs of a tableA plane is simply a flat surface. It can be represented by
A blackboardHence, the 5 objects that can represent a point, a line and a plane are the objects listed above
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Prove that F(n)=O(g(n))k and only Fg(n)=Ω(F(n)) Use w for Ω when typing
To prove that F(n) = O\((g(n))^k\), we need to show that there exist constants C and N such that for all n ≥ N, F(n) ≤ C * g\((n)^k\).
Proof,
Let's assume that F(n) = O\((g(n))^k\). By definition, this means there exist constants C and N such that for all n ≥ N, F(n) ≤ C * g\((n)^k\).
Now, we will prove that F(n) = Ω(F(n)).
To show that F(n) = Ω(F(n)), we need to demonstrate that there exist constants c and N' such that for all n ≥ N', F(n) ≥ c * F(n).
Proof,
Let's assume that F(n) = Ω(F(n)). By definition, this means there exist constants c and N' such that for all n ≥ N', F(n) ≥ c * F(n).
Since we are assuming F(n) = Ω(F(n)), the statement is true.
In summary:
F(n) = O\((g(n))^k\) is proved by showing the existence of constants C and N such that for all n ≥ N, F(n) ≤ C * g\((n)^k\).
F(n) = Ω(F(n)) is assumed to be true, which means there exist constants c and N' such that for all n ≥ N', F(n) ≥ c * F(n).
Therefore, F(n) = O\((g(n))^k\) and F(n) = Ω(F(n)) can coexist and do not contradict each other.
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julius has two cylinder-shaped candles of different heights and diameters. the first candle burns down in 6 hours, the second one in 8 hours. they both burn down evenly. he lights both candles at the same time and after three hours they are both equally high. what was the ratio of the original heights?
The ratio of the original heights of the two candles which are lighted at the same time is 3:4.
What is Ratio?A ratio is a quantitative relationship between two or more quantities or values, expressing how many times one quantity is contained in or is equal to another quantity.
Let the original height of the first candle as h1 and the original height of the second candle as h2.
we have,
- In six hours, the first candle is extinguished.
- The second candle burns down in 8 hours.
- After 3 hours, both candles are equally high.
From this, we can deduce that after 3 hours, both candles have burned down to the same fraction of their original heights.
For the first candle:
Remaining height of the first candle = h1/2
For the second candle:
Remaining height of the second candle = (3/8) h2
Since both candles are equally high after 3 hours, we can set up the following equation:
h1/2 = (3/8) h2
h1/h2 = (3/8) 2
h1/h2 = 3/4
Therefore, the ratio of the original heights is 3:4.
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our basketball team has 10 players, including steve and danny. we need to divide into two teams of 5 for an intrasquad scrimmage how are your answers related
The number of ways to divide 10 players into two teams of 5 with Steve and Danny on different teams is -3668, implying that it's impossible to divide the teams as such. This result shows that the probability of both players being on the same team is one, and is related to the complement of the probability of them being on opposite teams.
We have our basketball team has 10 players, including Steve and Danny, and we need to divide them into two teams of 5 for an intrasquad scrimmage.
The number of ways of selecting r objects out of n is given by ⁿCr where,
ⁿCr = (n!) / [(n - r)! r!]
Here, the number of ways to choose 5 players out of 10 is ¹⁰C₅.
¹⁰C₅ = (10!) / [(10 - 5)! 5!]
¹⁰C₅ = (10 x 9 x 8 x 7 x 6) / (5 x 4 x 3 x 2 x 1)
¹⁰C₅ = 252
There are 252 ways to divide the 10 players into two teams of 5.
Using complementary probabilities, we can find the number of ways in which the teams can be picked such that Steve and Danny are on the same team.
For that, we need to calculate the number of ways in which Steve and Danny can be together, and then subtract this from the total number of ways.
Using the same logic, the number of ways to choose 4 more players out of 8 is ⁸C₄.
⁸C₄ = (8!) / [(8 - 4)! 4!]
⁸C₄ = (8 x 7 x 6 x 5) / (4 x 3 x 2 x 1)
⁸C₄ = 70
There are 70 ways to choose 4 players from the remaining 8 (excluding Steve and Danny).
We can consider Steve and Danny as one player, so we need to select 3 more players from the remaining 8 (excluding Steve and Danny).
The number of ways to do this is ⁸C₃.
⁸C₃ = (8!) / [(8 - 3)! 3!]
⁸C₃ = (8 x 7 x 6) / (3 x 2 x 1)
⁸C₃ = 56
There are 56 ways to select 3 players from the remaining 8 to join Steve and Danny.
Using the multiplication principle, we get the number of ways to select the entire team as 70 x 56 = 3920.
There are 3920 ways to choose the teams so that Steve and Danny are on the same team.
Now, using the complement rule, the number of ways to select the teams so that Steve and Danny are on opposite teams is given by the total number of ways minus the number of ways in which Steve and Danny are on the same team.
Using this, we can say that the number of ways to divide the 10 players into two teams of 5 such that Steve and Danny are on opposite teams is given by 252 - 3920 = -3668.
However, the answer is negative which means that there is no way to divide the teams such that Steve and Danny are on opposite teams.
Hence, the solution to the problem is related to the complement of the probability.
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How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a
Answer:
In order of the questions asked, the answers are, C, D, A, C
Step-by-step explanation:
After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.
if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D
the isotope for dating organic remains is A. carbon-14
for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460
so the answer is C
HELP MATH ASAP!!! MARKING BRAINLISETS
Answer:
y = -3x -16
Step-by-step explanation:
For problems like this, I like to start with a variation of the point-slope form of the equation of a line:
y = m(x -h) +k . . . . . for a line with slope m through point (h, k)
For your given values, this is ...
y = -3(x +3) -7
y = -3x -9 -7 . . . . eliminate parentheses; next, combine terms
y = -3x -16
Hope this helps! ;)
Answer:
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Step-by-step explanation:
EF is tangent to circle O at point E, and EK is a secant line. If mEDK = 200°, find m/KEF.
Answer: Here, m angle KEF = 80 Degrees
402/3333 simplified please
Answer:
134/1111
Step-by-step explanation:
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact form: \(\frac{134}{1111}\)
Decimal form: 0.1206... (repeating)
Which number is between pie 21 and 3 Irrational over 2
33.72 is the number between pie 21 and 3 Irrational over 2.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to find the number between pie 21 and 3 Irrational over 2
The value of pie 21 is 65.94
3/2 is the other irrational number.
The value of 3/2 is 1.5
The number between 65.94 and 1.5 is
65.94+1.5/2
67.44/2
33.72
Hence, 33.72 is the number between pie 21 and 3 Irrational over 2.
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amber must make up a vocabulary quiz. she can take it during her lunch or after school on wednesday, thursday, or friday. The tree diagram shows the possible combination of the times she can make up the quiz
Answer:
6
Step-by-step explanation:
Solve the system by elimination method. Show your work.
*Type the solution with parentheses & no spaces.
7x-2y=257x−2y=25
x+3y=-26x+3y=−26
HELP! PLEASE! 100 POINTS!
If you add the two equations in the middle together, you'd end up with
-3y = 15
And divide both sides by -3 and you'd have
y = -5
Since there's only one solution with a y-value of -5, it must be the first option, (-19/2, -5).
You can confirm this is correct by substituting in -19/2 for x and -5 for y in both equations.