Answer:
11
Step-by-step explanation:
First distribute the 3 to both the numbers inside of the parentheses:
3(k)-3(6)=15
3k-18=15
Add 18 to both sides
3k=33
Divide 3 from both sides to isolate k
k=11
Can someone assist me with this, I'm having problems with this
After five practice sessions, some freshmen Cadets in your squad still can't do an about face. They seem to be trying, but just aren't getting it. What supervisory function do you need to exercise more with these Cadets
As a supervisor, if some freshmen cadets in your squad are struggling with a particular skill like the "about face,"
A supervisor is a person who oversees the work of others and ensures that tasks are completed efficiently and effectively. They are typically responsible for managing a team of employees and providing guidance and direction to help them achieve their goals.
Supervisors are essential in most industries, including manufacturing, retail, healthcare, education, and many others. They are often responsible for hiring and training new employees, setting performance expectations, and monitoring progress to ensure that goals are met. They may also be responsible for developing work schedules, coordinating team meetings, and handling employee conflicts.
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A biologist measured the length and mass of 20 reptiles. The equation y=0.3x-2 is the line of best for the data, where x is the length in centimeters and y is the mass in grams. What is the approximate length of a reptile that has a mass of 20.5 grams?
Answer: 75 cm
Step-by-step explanation: 0.3 x 75 - 2 = 20.5 grams
Answer:
75 cm
Step-by-step explanation:
(1 point) how many different ways can a race with 6 runners be completed? (assume there is no tie.) your answer is : 36
There are 720 different ways can a race with 6 runners be completed.
What is a combination?
The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.
Here, we have
The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.
So the total number of possible results can be calculated as:
n = 6×5×4×3×2×1= 6!
= 720
Hence, there are 720 different ways can a race with 6 runners be completed.
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A dice game involves throwing three dice and betting on one of the six numbers that are on the dice. The game costs $4 to play, and you win if the number you bet appears on any of the dice. The distribution for the outcomes of the game (including the profit) is shown below:
Number of dice with your number Profit Probability of Observing
0 -$4 125/216
1 $4 75/216
2 $6 15/216
3 $12 1/216
Find your expected profit from playing this game.
a. $4.17
b. -$0.46
c. $0.50
d. $2.36
According to the probability, the expected profit from playing this game is -$0.46 (option b).
If the chosen number appears on two of the dice, the player wins $6, and this outcome has a probability of 15/216. There are 15 ways in which the chosen number can appear on two of the dice (6 ways to choose the two dice, and 1 way for the remaining dice to not have the chosen number).
Finally, if the chosen number appears on all three dice, the player wins $12, and this outcome has a probability of 1/216, as there is only one way in which the chosen number can appear on all three dice.
To calculate the expected profit from playing this game, we need to multiply the profit from each outcome by its probability and sum up the results. Using the given distribution, we get:
Expected profit = (-$4 x 125/216) + ($4 x 75/216) + ($6 x 15/216) + ($12 x 1/216)
Expected profit = -$0.46
Therefore, the answer is option b: -$0.46.
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9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
what is the average rate of change in temperature over the interval in which the temperature over the interval in which the temperature is decreasing? increasing?
The specific average rate of change, you need the temperature values and the corresponding time intervals during which the temperature is decreasing or increasing.
Average rate of change during a decreasing interval:
If the temperature is decreasing over an interval, you need two temperature values: the temperature at the beginning of the interval (T1) and the temperature at the end of the interval (T2). The average rate of change can be calculated using the formula:
Average rate of change = (T2 - T1) / (time interval)
Here, "time interval" represents the duration of the interval during which the temperature is decreasing. The result will be a negative value since the temperature is decreasing.
Average rate of change during an increasing interval:
If the temperature is increasing over an interval, you again need two temperature values: the temperature at the beginning of the interval (T1) and the temperature at the end of the interval (T2). The average rate of change can be calculated using the same formula:
Average rate of change = (T2 - T1) / (time interval)
In this case, the result will be a positive value since the temperature is increasing.
To calculate the specific average rate of change, you need the temperature values and the corresponding time intervals during which the temperature is decreasing or increasing.
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What is the unit price of $6.80 for 8
Answer:
$0.85
Step-by-step explanation:
6.8/8 which is 0.85.
Hope this helps plz mark brainliest :D
Answer:
Step-by-step explanation:
divide 6.80 by 8 to get the unit price.
6.80/8= 0.85 a piece
what are the roots of the polynomial below. x^3-3x^2+2
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The roots of the polynomial are 1, 2.7321, and -0.7321.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The roots of the polynomial are:
x³ - 3x² + 2
If we divide the polynomial by (x-1), then
(x³ - 3x² + 2)/(x-1) = x² - 2x - 2
now, factorize the given polynomial,
x² - 2x - 2
x = 1 ± √3
x = 1, 2.7321, -0.7321
Hence, the roots of the polynomial are 1, 2.7321, and -0.7321.
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find the length l of the curve x=y√3(y−932y1−−√3),0≤y≤8. set up: l = ∫801 (f′(y))2−−−−−−−−−−√dy where f′(y) = simplify: l = ∫80(g(y))2−−−−−−√dy where g(y) = integrate: l =
The length of the curve is l = ∫80(1+3(y-9)/(32y))^(1/2) dy
To find the length of the curve, we use the formula:
l = ∫a^b [(1 + [f'(x)]^2)^(1/2)] dx
In this case, we are given the equation for y in terms of x, so we need to find y' to use in the formula.
Starting with x = y√3(y-9)/(32y1/2), we can rearrange to solve for y in terms of x:
y = x^2 / [3(x^2/9 + 1)]
Next, we find the derivative of y with respect to x:
y' = [6x / (9x^2 + 27)] - [2x^3 / (9x^2 + 27)^(3/2)]
Simplifying:
y' = 6x / [9(x^2 + 3)] - 2x^3 / [9(x^2 + 3)^(3/2)]
Now we can substitute y' into the formula for l:
l = ∫0^8 [(1 + [6x / (9(x^2 + 3)) - 2x^3 / (9(x^2 + 3)^(3/2))]^2)^(1/2)] dx
Simplifying:
l = ∫0^8 [(1 + 9(x-9)^2 / (32x^2))^(1/2)] dx
To make the integral easier to solve, we can substitute u = 1 + 9(x-9)^2 / (32x^2), which gives:
l = ∫1.5^5.5 [2/3 * u^(1/2) * (u - 1)^(1/2) / (9(u-1) + 8(u-1)^(3/2))] du
Using integration by substitution and partial fractions, we can solve for l:
l = 16/27 [ (13/16)^{3/2} - (5/16)^{3/2} + 2(13/16)^{1/2} - 2(5/16)^{1/2} ]
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A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
PLS HELP ME I WILL MARK THE BRAINLIEST
Given that the solids are similar, we have:
1. 5/3
2. 4/25
3. 512/13,824
What is the Volume and Surface Area of Similar Solids?If two solids have a surface area of A and B respectively, and a and b are their respective corresponding linear measures, the following ratio would be true for the similar solids:
Surface area for A/Surface area for B = a²/b².
Volume for A/Volume for B = a³/b³.
1. If the two pyramids are similar, therefore:
Ratio of the height of larger to the smaller pyramid = √(525/189) = √(25/9)
Ratio of the height of larger to the smaller pyramid = 5/3
2. Ratio of the linear measure of the smaller prism to the larger prism = ∛(24/375)
= ∛(8/125) = 2/5
Ratio of their surface area = 2²/5²
Ratio of their surface area = 4/25.
3. Ratio of the volume of the smaller cyinder to that of the larger = 8³/24³
= 512/13,824
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a²-(b+c)²/
c²-(a-b)²
The expanded form of the expression \(\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}\) is \(\frac{a^2 - b^2 - 2bc - c^2}{c^2 - a^2 + 2ab - b^2}\).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression \(\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}\).
We know, (a ± b)² = a² ± 2ab + b².
Therefore, \(\frac{a^2 - (b + c)^2}{c^2 - (a - b)^2}\)
\(= \frac {a^2 - (b^2 + 2bc + c^2)}{c^2 - (a^2 - 2ab + b^2)}\)
\(= \frac{a^2 - b^2 - 2bc - c^2}{c^2 - a^2 + 2ab - b^2}\)
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What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100
Answer: x = 10
Step-by-step explanation:ln20+ln5=2lnx
ln(20x5)=lnx^2
ln100=1nx^2
100=x^2
square root
x=10
The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
Given expression,
⇒ ln 20 + ln 5 = 2 ln x
⇒ ln(20×5) = lnx²
⇒ ln100 = lnx²
Take anti logarithms on both sides,
⇒ 100 = x²
Taking the square root,
⇒ x = 10
Hence, the true solution is x = 10.
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Which set of numbers contains only rational numbers?
Answer:
A because of the Earth or D because of you
20 POINTS PLEASE THIS IS DUE IN A FEW MINUTES
Answer:
T is 130 the angle is Obtuse
Step-by-step explanation:
Answer:
t = 130
Step-by-step explanation:
t is congruent to angle with measure of 130 so t is 130 as well
Write an expression for: half of w
2-w
2w
W/2
2/w
Answer:
w/2
Step-by-step explanation:
Calculating half of something is the same as dividing it by 2. In this case, the "something" is w so the answer is w/2.
Solve:
e + 13.2 = 289.47
Answer:
Evaluate.
15.91828182 = 289.47
need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3
(4 x 100,000) + (7 x 1,000) + (8 x 100) + (6 x 1) = 47,806
Answer:
It is 407,800
Step-by-step explanation:
Because The 4 x 100,000 = 400,000
how About lets But it in another way
100,000 + 100,000 + 100,000 + 100,000= 400,000
This also works with the other multiplication things you have there. So this Is how I got the answer.
i’ll mark brainliest
4^3 x4^5
A.16^8
B.16x15
C.4^15
D.4^8
the answer is in the picture
n a previous poll, 32% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. suppose that, in a more recent poll, 1089 adults with children under the age of 18 were selected at random, and 325 of those 1089 adults reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? test at an alpha of 0.01 significance level. what is the test statistic, z0 ?
There is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
To determine if there is sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased, we can use a hypothesis test.
Let p be the true proportion of families who eat dinner together seven nights a week. Our null hypothesis is that there has been no decrease in the proportion of families who eat dinner together seven nights a week:
H0: p = 0.32
Our alternative hypothesis is that the proportion has decreased:
Ha: p < 0.32
We will use a one-tailed z-test with an alpha level of 0.01.
First, we need to calculate the sample proportion, P:
P = 325/1089 ≈ 0.298
Next, we can calculate the test statistic, z0:
z0 = (P - p) / sqrt(p(1-p)/n)
where n is the sample size.
z0 = (0.298 - 0.32) / sqrt(0.32(1-0.32)/1089) ≈ -2.32
Finally, we can compare the test statistic to the critical value for a one-tailed z-test at an alpha level of 0.01. The critical value is -2.33. Since -2.32 is greater than -2.33, we fail to reject the null hypothesis.
Therefore, there is not sufficient evidence to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased.
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How do you find K variation?
In the direct variation equation y = kx, k represents the proportionality constant. Similar to this, in the inverse variation equation y = kx, k is the constant of variation.
What variation is K?A ratio called a constant of variation (k) shows how the independent variable (x) and the dependent variable are related to one another (y). If both of those variables have known values, you can find it by dividing y by x.
In order to obtain k given any position, we must divide the y-coordinate by the x-coordinate because k is constant (the same for every point). For instance, the variation constant is k = 3 if y changes straight as x and y = 6 when x = 2.
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Next, the team wants to explore how it can change the steepness of the curved pit.
Identify how the graph of each equation compares with the graph of the parent quadratic equation, y = x2.
Drag the equations to the correct location on the chart. Not all equations will be used.
Given that the parent function, y = x², has a leading coefficient of 1, the
following are the comparisons of the equations with the parent functions;
\(\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right]\)
How can the correct location of each equation be found?The parent function is y = x²
The leading coefficient of the parent function = 1
The steepness of a quadratic equation is given by the value of the
leading coefficient.
When the leading coefficient is larger than 1, we have;
The function is steeper than y = x²
When the leading coefficient is a fraction larger than 0 but lesser than 1, we have;
The function is less steep than y = x²
Which gives;
\(\begin{array}{|c|cc|}Steeper \, than \, y = x^2&&Less \, Steep \ than \, y = x^2 \\y = 2 \cdot x^2&&y = \frac{1}{2} \cdot x^2 \\y = \left(2 \cdot x \right)^2&&y = \left(\frac{1}{2} \cdot x \right)^2 \end{array}\right]\)
The function y = -x² is inverted has the same steepness as y = x², but will not be used.
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Help me help me please
Answer:
Slope/Gradient is: -1/2
y-intercept is: -5
Step-by-step explanation:
Each bit operation is completed in 10 −9
seconds. You have one second to calculate the value of some function f(n) for the largest possible value of n. a) If calculating f(n) takes nlog 2
(n) big operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest million) b) If calculating f(n) takes n 2
big operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest thousand) c) If calculating f(n) takes 2 n
bit operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest whole number)
The largest value of n for which function f(n) could be computed in one second is approximately 2.8 million. The largest value of n is 31,623. The largest value of n is 30.
If calculating f(n) takes nlog₂(n) big operations, and each bit operation is completed in \(10^{-9}\) seconds, we can calculate the largest value of n that can be computed in one second.
Let's set up the equation:
nlog₂(n) * \(10^{-9}\) seconds = 1 second
Simplifying the equation:
nlog₂(n) = \(10^{-9}\)
To approximate the largest value of n, we can use trial and error or numerical methods. By trying different values of n, we can find that when n is around 2.8 million, the left-hand side of the equation is close to \(10^{-9}\) .
Therefore, the largest value of n for which f(n) could be computed in one second is approximately 2.8 million.
If calculating f(n) takes n² big operations, and each bit operation is completed in \(10^{-9}\) seconds, we can calculate the largest value of n that can be computed in one second.
Let's set up the equation:
n² * \(10^{-9}\) seconds = 1 second
Simplifying the equation:
n² = \(10^{-9}\)
Taking the square root of both sides:
n = √ \(10^{9}\)
Calculating the value:
n ≈ 31622.7766
Therefore, the largest value of n for which f(n) could be computed in one second is approximately 31,623.
If calculating f(n) takes \(2^{n}\) bit operations, and each bit operation is completed in \(10^{-9}\) seconds, we can calculate the largest value of n that can be computed in one second.
Let's set up the equation:
\(2^{n}\) * \(10^{-9}\) seconds = 1 second
Simplifying the equation:
\(2^{n}\) = \(10^{9}\)
Taking the logarithm base 2 of both sides:
n = log₂( \(10^{9}\) )
Calculating the value:
n ≈ 29.897
Rounding to the nearest whole number:
n ≈ 30
Therefore, the largest value of n for which f(n) could be computed in one second is approximately 30.
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Last month, Alex sold 17 cars. This
month he only sold 8. How many more
cars did he sell last month?
Answer:
9
Step-by-step explanation:
Take the number of cars sold last month and subtract the number of cars sold this month
17 -8
9
He sold 9 more cars last month than this month
Answer:
9 more
Step-by-step explanation:
9 more because if total last time was 17 and this time was 8 then you do 17-8=9
Select all the fractions that have the same value as 4 3/5
Answer:
6/10 8/10 2/12 10/12
Step-by-step explanation:
stay 420 up yea yea
8. Which two-dimensional figure is formed when a right rectangular pyramid
is sliced by a plane through the pyramid's vertex and perpendicular to the
pyramid's base?
A. a square
B. a triangle
C. a trapezoid
D. a parallelogram
Answer: B
Step-by-step explanation: