\(\large\huge\green{\sf{Answer:-}}\)
in above attachmentwhat is the density of the rock???!!!!!!!!!!
Answer:
he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).
Step-by-step explanation:
What is the next term in the following sequence? 54, -18, 6,.....
Which answer choice shows 4 + 0.3 + 0.09 written in standard form?
A. 43.9
B. 4.39
C. 0.439
D. 0.0439
Solution:
A few changes were made:
4 as 4.00. 0.3 as 0.30New equation:
4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09Solving the equation:
4.00 + 0.30 + 0.09=> 4.39 (Refer to image for work)Correct option is B.
Answer:
B)
Step-by-step explanation:
4 + 0.3 + 0.09 = 4.39
standard form is written in the form of \(a \times 10^n\), where \(a\) is a number bigger than or equal to 1 and less than 10.
Therefore, 4.39 written in standard form is \(\mathsf{4.39 \times 10^0}\)
Here is a sample of data: 7 8 9 6 8
a) Determine the standard deviation. Show your work (no
spreadsheet).
The standard deviation is 1.11.
Let's have stepwise solution:
1. Calculate the mean:
7 + 8 + 9 + 6 + 8 = 38
38/5 = 7.6
2. Calculate the deviation from the mean for each number:
7 - 7.6 = -0.6
8 - 7.6 = 0.4
9 - 7.6 = 1.4
6 - 7.6 = -1.6
8 - 7.6 = 0.4
3. Square each deviation and add them all together:
(-0.6)² + (0.4)² + (1.4)² + (-1.6)² + (0.4)² = 4.96
4. Divide the sum of squared deviations by the total number of values (n-1):
4.96 / (5-1) = 4.96 / 4 = 1.24
5. Take the square root of the result:
√1.24 = 1.11
Therefore the standard deviation is 1.11.
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3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18, 54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?
{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}
SEQUENCE: 6, 18, 54, 162
18/6 = 3
54/18 = 3
162/54 = 3
then, r (common ratio) = 3
_________________________________________
RECURSIVE RULE: r = 3
an = a(n - 1) × r [formula]
ANSWER: an = a(n - 1) × 3
_________________________________________
ITERIATIVE RULE: r = 3, a1 = 6
an = a1 × r^(n - 1) [formula] [ ^(n-1) is an exponent]
ANSWER: an = 6 × 3^(n - 1)
f(x)=5-1/5x What are the x and y intercepts?
Answer:
X intercepts 1/25=0
Y intercepts none
29.) given that p*q means 2q - p, the value of 1* 2 is:
Answer: 2
Step-by-step explanation: The value of 1*2 is 2.
------------------------
HOWEVER, If we were plugging in these values:
p = 1
q = 2
And solving 2q - p, then our answer would be 3.
------------------------
If we were plugging in these values:
p = 2
q = 1
And solving 2q - p, then our answer would be 0.
The probability distribution histogram shows the number of trees in yards in a certain neighborhood.
What is the probability that a randomly selected yard will have 6 or more trees?
Answer:
45%
Step-by-step explanation:
Here, we want to know the probability of a randomly selected yard having 6 or more than 6 trees
To get this, we simply add up the probability of 6 yards and above
That is the probability of 6, 8 , 10 and 12 yards
This is obtainable from the histogram
We then proceed to add up from the graph
What we have is;
0.05 + 0.25 + 0.10 + 0.05
= 0.10 + 0.10 + 0.25 = 0.45
This is same as 45/100 which is otherwise 45%
The probability that a randomly selected yard will have 6 or more trees is 45%.
Probability of having 0-2 tree = 0.35
Probability of having 2-4 tree = 0.20
Probability of having 4-6 tree = 0.05
Probability of having 6-8 tree = 0.20
Probability of having 8-10 tree = 0.10
Probability of having 10-12 tree = 0.05
What is the probability?Probability is to quantify the possibilities or chances.
So, probability of having 6 or more trees
= (2*0.05 + 2*0.25 + 2*0.10 + 2*0.05)/(0.35*2+0.20*2+2*0.05 + 2*0.25 + 2*0.10 + 2*0.05)
=0.9/2
=0.45
=45%
So, probability of having 6 or more trees =45%
Therefore, the probability that a randomly selected yard will have 6 or more trees is 45%.
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Help ASAP please!!!!!
Answer:
f= 2x+3
x
Step-by-step explanation:
Let's solve for f.
fx=2x+3
Step 1: Divide both sides by x.
fx
x
=
2x+3
x
f=
2x+3
x
LaShawn solved the equation below to the determine the solution.
3 x minus 8 = negative x + 4 (x minus 2)
How many solutions does LaShawn’s equation have?
Answer:
Infinite number of solutions :)
Step-by-step explanation:
what is 50% of 12?
what is 12% of $118.90?
what is 120% of 30?
what is 8.25% of $8,384.33?
Answer:
1. 6
2. $14.27
3. 36
4. $691.70
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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for continuous random variables, the probability of any specific value of the random variable is one. true or false
The given statement "for continuous random variables, the probability of any specific value of the random variable is one." is false because the random variable taking on any specific value is then given by the area under the PDF curve at that value, which is zero.
In fact, for continuous random variables, the probability of any specific value is zero. This may seem counterintuitive at first, but it is a fundamental property of continuous random variables.
The PDF is a function that describes the relative likelihood of the random variable taking on a particular value within its range. The probability of the random variable taking on a specific value is then given by the area under the PDF curve at that value.
Since the PDF is a continuous function, the probability of the random variable taking on any specific value is zero. This is because the area under a continuous curve at any single point is zero.
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The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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the number of weeds in your garden grows exponential at a rate of 15% a day. if there were initially 4 weeds in the garden, approximately how many weeds will there be after two weeks?
Answer:
28
Step-by-step explanation:
a number is tripled, and 2.5 is added. the result is 83.5
Answer:
27
Step-by-step explanation:
You would go 83.5 - 2.5 to get 81
divide 81 by three to get 27
Step-by-step explanation:
dldldldlxdpdlddldldldldl 85What is congruent example?.
The concept and examples of congruence are described below.
What is congruent?The word 'congruent' signifies 'precisely equivalent' concerning shape and size. In any event, when we turn, flip, or pivot the shapes, they stay equivalent. For instance, draw two circles of similar range, then cut them out and put them on each other.
Example of congruent angle in geometry:congruent angles have a similar point measure. For instance, an ordinary pentagon has five sides and five points, and each point is 108 degrees. No matter what the size or size of a customary polygon, the points will constantly be compatible.
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what is the slope of the line that goes through (5,5) and (5,-7)?
Infinite
Step-by-step explanation:
The slope is the difference by the ys, divided by the difference between the xs. In formula:
slope = (y2 - y1) / (x2 - x1)
Substituting our values, we obtain:
slope = (-7 - 5) / (5 - 5) = -12/0
This is a problem, because we can't divide by 0.
In these cases, this means the line is vertical (in fact, the value of x is the same for both points).
When the line is vertical, one says the the slope is infinite.
Write the formula that shows the dependence of the edge length a on the volume V of a cube.
The formula for the volume of a cube whose edge length is E is:
V = E³
How to find the formula for the volume of a cube?We know that for all rectangular prisms, the volume is equal to the product between the 3 dimensions.
The cube is a type of rectangular prism where all the dimensions have the same measure, which is the edge length that we can write as E.
Then the volume V of the cube, which is the product of the 3 dimensions, can be written as:
V = E*E*E
We can simplify that as:
V = E³
That is the formula for the volume.
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Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials
On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1
Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
write a system of three linear equations with three variables each that has the unique solution . write your equations in standard form. use the variables , , and with non-zero coefficients.
the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
2x + 3y + 4z = 30
3x + 4y + 5z = 45
5x + 6y + 7z = 75
The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.
The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.
The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.
Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
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Numerical methods can be useful in solving different problems. Using numerical differentiation, how many acceleration data points can be determined if given 43 position data points of a moving object given by (x,t) where x is x-coordinate and t is time?
However, the number of acceleration data points that can be determined from the given position data remains 41 in this case.
In numerical differentiation, the acceleration can be approximated by taking the second derivative of the position data with respect to time.
Given 43 position data points (x, t), we can determine the acceleration at each of these points. However, it's important to note that the accuracy and reliability of the numerical differentiation method depend on the quality and spacing of the data points.
To compute the acceleration, we need at least three position data points. Using a technique like finite differences, we can approximate the second derivative at each point using three neighboring position data points. Therefore, we can determine the acceleration for a total of 41 data points out of the 43 position data points, excluding the first and last data points.
It's worth mentioning that using higher-order numerical differentiation methods or increasing the number of data points can potentially improve the accuracy of the acceleration estimation.
However, the number of acceleration data points that can be determined from the given position data remains 41 in this case.
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TRUE/FALSE. in a poisson distribution, the probability of success may vary from trial to trial.
The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.
The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.
The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.
The probability of observing k events in the interval is given by the Poisson probability mass function:
P(k) = (e^(-λ) * λ^k) / k!
where e is the base of the natural logarithm, and k is a non-negative integer.
The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.
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Find the surface area of a square pyramid with side length 6 cm and slant height 7 cm.
The surface area of a square pyramid with a side length of 6cm and a slant height of 7cm is 110cm²
Given side length of the square pyramid (a) = 6cm
Given slant height of the square pyramid (l) = 7cm
The formula for finding the surface area of a square pyramid is = a²+2al
By substituting the given values in the above formula we can obtain the value of the surface area of the square pyramid.
So, Surface Area = a²+2al = (6)² + (2 x (6) x (7))
Surface Area = 36 + 84
Surface Area = 110cm²
From the above solution, we can conclude that the surface area of the given square pyramid of length 6cm, and slant height 7cm is 110cm².
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Javier is standing at a distance from a flagpole. He sights the bottom of the flagpole at a 4°
angle of depression and the top of the flagpole at a 25°
angle of elevation. If Javier is 6 feet tall, what is the total height, to the nearest foot, of the flagpole?
Answer: To find the height of the flagpole, we can use the fact that the angles of depression and elevation are complementary angles, meaning that they add up to 90°.
Let's call the height of the flagpole "h". Then, we have:
h - 6 = h * tan(4°) (the height difference between Javier and the bottom of the flagpole)
and
h = 6 + h * tan(25°) (the height of the top of the flagpole as seen by Javier).
By substituting the first equation into the second, we can find h:
h = 6 + h * tan(25°)
h = 6 + h / tan(65°)
h * tan(65°) = 6 + h
h * tan(65°) - h = 6
h = 6 / (tan(65°) - 1)
Using a calculator, we find that h = approximately 43.3 feet. Rounding to the nearest foot, the height of the flagpole is 43 feet.
Step-by-step explanation:
helpppp!!!!!! As shown in the diagram, lines m and n are cut by transversal p.
Step-by-step explanation:
sum of angle 1 and angle 2 is 180°
so,
4x + 14 + 8x + 10 = 180
12x + 24 = 180
12x = 180 - 24 = 156
x = 156/12 = 13
x = 13°
therefore, value of x is 13 and option C is correct.
hope this answer helps you!
The _____________________ suggests that youth who socialize with friends who are highly delinquent will be more apt to be delinquent themselves.
The social learning theory suggests that youth who socialize with friends who are highly delinquent will be more apt to be delinquent themselves.
The social learning theory, proposed by Albert Bandura, emphasizes the role of social interactions and observational learning in shaping behavior. According to this theory, individuals learn behaviors through the process of observing others and imitating their actions. In the context of delinquency, the theory suggests that youth who associate with friends who engage in delinquent behaviors are more likely to learn and adopt those behaviors themselves.
This is because they are exposed to models who engage in delinquency and may receive reinforcement or rewards for such behaviors. Through socialization and peer influence, youth internalize the behaviors and attitudes of their delinquent peers, leading to an increased likelihood of engaging in delinquent activities themselves.
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Help anyone can help me do this question,I will mark brainlest.
Answer:
3) 16π cm²
4) 240.625 cm²
Step-by-step explanation:
3. For this problem I'm going to use the formula Area = π × r²
To start off, I'm going to input our value of radius which is 4cm.
π × 4²
Finally, I'm going to square our value "4"
16π cm²
(I'm going to "leave my answer in terms of π" as the problem states but if you need the complete answer it would be about 50.24 cm²
4. For this problem I'm going to use the formula Area = π × (d/2)²
To begin, I will divide our diameter by 2 to find the radius.
17.5/2 = 8.75
Next, we are going to square our now, radius.
8.75² = 76.5625
Now, we have to multiply our squared radius by π (in this problem it states to use 22/7, so that's what we'll do :)
76.5625 × 22/7 = 240.625 cm²
So! This is our final answer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
A series resistor-capacitor-inductor (RLC) circuit may be described by the ordinary differential equation dl Q L + RI+ = V(t), where I = dt C dQ dt Find the general solution using the following values: R = 50 22, L = 5 H, C = 0.005 F and V(t) = 300 cos(100t) + 400 sin(100t) V.
The general solution of the RLC circuit differential equation is \(Q(t) = c_1e^{-5t}cos(\sqrt{15t}) + c_2e^{-5t}sin(\sqrt{15t})\), where c₁ and c₂ are constants determined by the initial conditions.
To solve the RLC circuit differential equation fully, we'll follow the steps outlined in the previous response:
1. Start with the given differential equation:
5 d²Q/dt² + 50 dQ/dt + 200 Q = 300cos(100t) + 400sin(100t)
2. Find the characteristic equation by setting the coefficients to zero:
5r² + 50r + 200 = 0
3. Solve the characteristic equation:
r² + 10r + 40 = 0
Using the quadratic formula:
r = (-10 ± √(10² - 4(1)(40))) / 2
r = (-10 ± √(-60)) / 2
r = -5 ± √15i
4. The general solution of the differential equation is given by:
\(Q(t) = c_1e^{-5t}cos(\sqrt{15t}) + c_2e^{-5t}sin(\sqrt{15t})\)
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x-12.5=95 ''solve'' ..................
Using the simplification, the solution of the given expression for x is 107.5.
In the given question we have to solve the given expression.
The given expression is x-12.5=95.
Now solving the expression.
x-12.5=95
To solve the expression we add 12.5 on both side
x-12.5+12.5=95+12.5
x=107.5
The solution of the given expression for x is 107.5.
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