Answer:
10
Step-by-step explanation:
(4 * 5) / 2 = 20 / 2 = 10
Answer:
Triangle R and triangle S are congruent triangles, so finding the area of triangle S would give us the area of triangle R.
The area of a triangle can be calculated as 1/2(bh), where b is the base and h is the height.
In this case, we have: 1/2(5)(4). This simplifies to 10.
So, the area of triangle R is 10 square meters.
Let me know if this helps!
Calculating brilliance in epidemiology Context. What follows is a data table showing the development of brilliance among a small class of PHE 450 students. NOTE: Student #8 came in as an existing case of brilliance and did not develop brilliance as a result of exposure to PHE 450. Student WK 1 WK 2 WK 3 WK 4 WK 5 WK6 WK 7 WK 8 WK 9 WK 10 CASE CASE CASE CASE DROP 1 2 3 4 5 6 7 8 9 10 11 12 CASE CASE CASE DROP CASE DROP ASSIGNMENT Referring to the data above, please answer the following questions What is the point prevalence of brilliance at the end of Week 1? What is the point prevalence of brilliance at the end of Week 2? • What is the point prevalence of brilliance at the end of Week 3? • Using person-weeks as your denominator, what is the incidence of brilliance over the course of the 10-week course?
The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.
The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.
The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.
Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%
In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:
The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time
Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.
The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time
Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.
The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time
Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.
The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation
Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.
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Jamie needs to multiply 2z - 4 and 22² + 3zy -2y². They decide to use the box method. Fill in the spaces in the table with the products when
multiplying each term.
NOTE: Just use ^ (shift+6) when you need an exponent.
The completed table shows the products of each term. we get
| 2z | -4
____________________
22² | 44z² |
__________|______|______
3zy | 6zy | -12z
__________|______|______
-2y² | -4y² | 8y²
To use the box method for multiplying the two expressions, let's create a table with the terms of each expression:
| 2z | -4
____________________
22² |
__________|______|______
3zy |
__________|______|______
-2y² |
Now, we will multiply each term from the first expression with each term from the second expression and fill in the table:
| 2z | -4
____________________
22² | 44z² |
__________|______|______
3zy | 6zy | -12z
__________|______|______
-2y² | -4y² | 8y²
The completed table shows the products of each term.
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Select all expressions that are equivalent to 5^n/2^n. There may be more than one correct answer. A. (5/2)^n B. (2/5)^-n C. - (5/2)^n D. (2.5)^n E. (1/2/5)^n F. 2^-n/5^-n
The expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ , 2⁻ⁿ/5⁻ⁿ.Options A, B, D, and F are correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the expression is, 5ⁿ/2ⁿ
The expression can be written in different ways as,
5/2)ⁿ
(2/5)⁻ⁿ
(2.5)ⁿ
2⁻ⁿ/5⁻ⁿ
Thus, the expression equivalent to the 5ⁿ/2ⁿ will be (5/2)ⁿ , (2/5)⁻ⁿ , (2.5)ⁿ, 2⁻ⁿ/5⁻ⁿ. Options A, B, D, and F are correct.
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please help me with these two questions ( show work plz )( it's ok if you only now one)
Answer:
1.8.09
2.-6
Step-by-step explanation:
1. 11b=89
b=89/11
8.09
2. 13+k/3=11
k/3=11-13
k/3=-2
k=-2*3
=-6
Answer:
Number 2 is - 6
Step-by-step explanation:
2. 13 + k/3 = 11
We can start off my subtracting 13 in both sides.
-13 + 13 + k/3 = 11 - 13
k/3 = -2. now we have to multiply 3 in both sides
3 x k/3 = -2 x 3
k = -6
Hope this helps!!
Lucy is tiling her bathroom. She buys white and blue tiles in the
ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she
buys 16 blue tiles how much does Lucy spend on tiles in total?
Answer:
£289.20
Step-by-step explanation:
13:2 = x:16 or 13/2 = x/16
cross multiply: 208 = 2x
simplify: x = 104
16 blue tiles x £2.80 each = £44.80
104 white tiles x £2.35 each = £244.40
44.80 + 244.40 = £289.20
1. If AABC is an equilateral triangle, solve for both x and y.
B
A...
3x + 1
18y-41
49 m
Solving for Sides with OOGEE
A
C
Ind
2. If ARST is an equilateral triangle, find x and the measure of each side
its the second oneee
a population numbers 20,000 organisms initially and grows by 17.1% each yearSuppose PP represents population, and tt the number of years of growth. An exponential model for the population can be written in the form P=a⋅bt whereP =
The exponential model for the population can be written as P = 20000 * 1.171^t, where P is the population after t years, 1.171 is the growth factor per year (100% + 17.1%), and 20000 is the initial population.
This equation assumes that the population grows continuously at a constant rate of 17.1% per year. It is an example of exponential growth, which means that the population increases at an increasingly faster rate over time.
Using this model, we can predict the population size at any point in the future. For example, after 5 years, the population would be P = 20000 * 1.171^5 = 41,992 organisms. It is important to note that this model is based on certain assumptions, such as unlimited resources and a constant growth rate, which may not always hold true in real-world scenarios.
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What is the domain and range of the graph below? You must use either interval notation or set notation
Answer:
See below.
Step-by-step explanation:
The domain of a function is simply the span of x-values the graph will encompass.
And the range of a function is simply the span of y-values the graph will encompass.
Since the function is a quadratic, the domain is all real numbers. From the graph, the graph will continue to expand left and right. Therefore, the domain is all real numbers.
In interval notation, this is:
\((-\infty,\infty)\)
And in set notation, this is:
\(\{x|x\in\mathbb{R}\}\)
For the range, notice that the graph is going downwards. In other words, the graph has a maximum value. From the graph, we can see that this maximum value is at y=-4. The graph never reaches any value above -4. Therefore, our range is all numbers equal to or less than -4.
In interval notation, this is:
\((-\infty,-4]\)
We use brackets because we include the -4 in the solution set.
Also, note that we write the infinity first because the smallest number should be on the left. [-4, -∞) would not be correct.
And in set notation, this is:
\(\{y|y\in\mathbb{R},y\leq 4}\}\)
Hurry please. Also thank you in advance
Answer:
The answer is C \(\sqrt{97}\).
Step-by-step explanation:
Use the pythagorean theorem. \(a^{2} + b^{2} = c^{2}\). With a and b corresponding to the legs of the triangle.
(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
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HEEEEEELLLPPPPPPPP!!!!!!!!!!!!
its early and i want to go back to sleep so pls help
Step-by-step explanation:
equation for a gradient is
m=(y¹-y²)/(x¹-x²)
again the ¹&² are not powers
so (x¹,y¹) and (x²,y²) would be
(-1,6) and (4,-4) respectively
so the gradient would be
(6+4)/(-1-4)
=-2
so the ans is
2=(y¹-y²)/(x¹-x²)
y¹-y²=2(x¹-x²)
y-6=2(x+4)
Note that I put (x, y) into (x¹,y¹)
and (-1,6) into (x²,y²)
(x²,y²) can also be (4,-4), which would lead to the same answer, as theyre the dots on the SAME line
For question 8, try to follow my steps, and figure out the gradient of the graph first, so u can understand what u should do when u see these kinds of questions
Answer:
(-1,6) and (4,-4)= y - 6 = -2 × (x+1)
(-2,2) and (6,6)= y - 2 = 1/2 × (x+2)
Step-by-step explanation:
Because the point slope formula for equations is y - y = m (x - x1)
what is the 0 element for the permutation group defined over n objects? note that the 0 element is the identity element for the group operator, usually denoted ‘ ’.
The 0 element for the permutation group defined over n objects is an identity permutation, which is a permutation that does not change the positions of any elements in a set.
This identity element is denoted by an empty permutation and is often referred to as the "do-nothing" permutation. In other words, it leaves the elements in the set unchanged. It is the base element of the permutation group, meaning that when it is combined with any other permutation, it does not change the result of the permutation.
This means that when it is combined with any other permutation, the end result is the same as the initial permutation.
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Help HELP HELP HELP HELP- I have 40 missing assignments and I want to make my mom proud!!!!
Answer:
1. 70
Step-by-step explanation:
2. 105
Answer:
A: 70.311 repeat
B: 105.53
Step-by-step explanation:
im not sure if im correct but hope this helps
what is the perimeter of a rectangle 3m long amd bm broad?
\(answer = 6 + 2b\\ solution \\ length = 3 \: m \\ breadth = b \: m \\ perimeter \: of \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(3 + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 + 2 \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 + 2b \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)
The perimeter of the rectangle is P = 6 + 2b, where b is the width.
Given data:
To find the perimeter of a rectangle, we add the lengths of all its sides. In this case, the rectangle is 3 meters long and b meters broad.
The perimeter is calculated as follows:
Perimeter = 2 × (length + breadth)
Given that the length is 3 meters and the breadth is b meters, substitute these values into the formula:
Perimeter = 2 × (3 + b)
Simplifying the expression,
Perimeter = 6 + 2b
Hence, the perimeter of the rectangle is 6 + 2b meters.
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This pattern follows the rule add 14. What other features do you observe?
13, 27, 41, 55
All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.
Find d²w/dz² for the given function.
w = 7z² eᶻ
d²w/dz² = ___
The second derivative of w = 7z² eᶻ with respect to z is 14zeᶻ(z+1).
How to find the second derivative?To find \(\frac{d²w}{dz²}\) for the function w = 7z² eᶻ, we need to take the second derivative of w with respect to z.
First, we find the first derivative of w with respect to z:
\(\frac{dw}{dz} = 14z^z\)
Then, we can take the second derivative of w with respect to z:
\(\frc{d²w}{dz²} = \frac{d}{dz}(\frac{dw}{dz)}\)
\(= \frac{d}{dz}(14ze^z)\)
= \(14e^z + 14z(e^z)'\) (using the product rule)
= \(14e^z + 14ze^z\)
Therefore, \(\frac{d²w}{dz²} = 14e^z + 14ze^z.\)
Substituting this result into d²w/dz² = ___ yields:
\(\frac{d²w}{dz²} = 14e^z + 14ze^z = 14z²e^z + 14ze^z = 14ze^z(z+1)\)
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Hep need please and thanks
(Answers Pls :3)
The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season.
a. Compare the populations using measures of center and variation.
b. Express the difference in the measures of center as a multiple of the measure of variation
Here is a general outline of how you can compare the populations using measures of center and variation:
Determine the measure of center for each population. The measure of the center could be the mean, median, or mode.
Determine the measure of variation for each population. The measure of variation could be the range, interquartile range (IQR), or standard deviation.
Compare the measures of the center for each population. If one population has a higher measure of center than the other, it means that the values in that population are generally larger than the values in the other population.
Compare the measures of variation for each population. If one population has a larger measure of variation than the other, it means that the values in that population are more spread out or diverse than the values in the other population.
To express the difference in the measures of the center as a multiple of the measure of variation, you would need to divide the difference in the measures of the center by the measure of variation. For example, if the mean goals scored per game for Team A is 2.5 and the mean for Team B is 3.0, the difference in the means is 0.5. If the standard deviation for Team A is 0.8 and the standard deviation for Team B is 0.7, the mean difference is 0.5 / 0.7 = 0.7142. This means that the difference in the means is approximately 0.7 times the measure of variation.
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Two vectors are given by \( \vec{a}=4.6 \vec{i}+5.0 \hat{j} \) and \( \vec{b}=8.6 \hat{i}+1.4 \hat{j} \). Find (a) \( \vec{a} \times \vec{b} \mid,(b) \vec{a} \cdot \vec{b},(c)(\vec{a}+\vec{b}) \cdot \
The answers are:
\((a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)
\((a) To find the cross product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \times \vec{b} = (a_yb_z - a_zb_y) \vec{i} + (a_zb_x - a_xb_z) \hat{j} + (a_xb_y - a_yb_x) \hat{k} \]Substituting the values:\[ \vec{a} \times \vec{b} = (5.0 \cdot 1.4 - 8.6 \cdot 0) \vec{i} + (8.6 \cdot 5.0 - 4.6 \cdot 1.4) \hat{j} + (4.6 \cdot 0 - 5.0 \cdot 8.6) \hat{k} \]Simplifying the expression, we get:\[ \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \]\)
\((b) To find the dot product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \cdot \vec{b} = a_xb_x + a_yb_y + a_zb_z \]Substituting the values:\[ \vec{a} \cdot \vec{b} = (4.6 \cdot 8.6) + (5.0 \cdot 1.4) + (0 \cdot 0) \]Simplifying the expression, we get:\[ \vec{a} \cdot \vec{b} = 39.56 + 7.0 + 0 \]\[ \vec{a} \cdot \vec{b} = 46.56 \]\)
\((c) To find the dot product of \( (\vec{a}+\vec{b}) \) and \( (\vec{a}+\vec{b}) \), we can use the same formula as in part (b).Substituting the values:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = (4.6+8.6) \cdot (4.6+8.6) + (5.0+1.4) \cdot (5.0+1.4) + (0+0) \cdot (0+0) \]\)
\(Simplifying the expression, we get:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 13.2 \cdot 13.2 + 6.4 \cdot 6.4 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 174.24 + 40.96 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 215.2 \]Therefore, the results are:(a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)
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Janelle had $65, then she returned her sweater that cost x dollars. Write an algebraic expression that represents the amount of money she has now.
Answer:
Step-by-step explanation:
G herbo trap house
There are 12 elephants and 11 lions at the zoo . What is the ratio of elephants to lions?
for ever 12 elephants there is 11 lions
so it would be 12:11
Solving a word problem using a two-step linear inequality
Reuben wants to rent a boat and spend at most $52. The boat costs $6 per hour, and Reuben has a discount coupon for $8 off. What are the possible numbers
of hours Reuben could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t is less than or equal to 10
Step-by-step explanation:
At most means less than or equal to. The boat costs 6 an hour, so, 6t. He has a $8 off coupon, so, 6t-8 is less than or equal to 52. Add 8 on both sides and then divide by 6 to isolate t. t is less than or equal to 10 hours.
Graph a line that contains the point ( 6 , − 5 ) and has a slope of -2/3
Answer: this is the answer it is a screenshot of the graph
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
1) Yes because the slope, 10x, is constant
2) Yes for every 1 hour of baby sitting $10 dollars is earned.
Consider Brainliest!
The value of a parcel of land, now worth $90,000, is expected to increase at an annual rate of 7.75%.
What is the predicted value of the land 9 months from now?
Round to the nearest dollar.
Answer:
$95,231 rounded to the nearest dollar
Step-by-step explanation:
5.8125/100 * $90,000 = $ 5231.25 increase
$5231.25 + $90,000 = $95,231.25
Round to the nearest dollar = $95,231
If f(x) takes on both positive and negative values, what is the geometric interpretation of a riemann sum? illustrate with a diagram.
The area being measured will not match the Riemann sum. By employing ever smaller forms to divide the area more precisely, this mistake can be minimized. The sum approaches the area as the shapes become ever-smaller.
What is Riemann sum ?A specific type of approximation of an integral by a finite sum in mathematics is known as a Riemann sum. It bears the name of the German mathematician Bernhard Riemann from the nineteenth century. Approximating the area of functions or lines on a graph, as well as the length of curves and other approximations, is a highly typical use.
A is the area under the curve on the interval being evaluated, f(xi) is the height of each rectangle (or the average of the two heights in the case of a trapezoid), and x is the width of each rectangle or trapezoid. This formula is known as the Riemann sum.Each rectangle in a right Riemann sum has a height equal to the value of the function at the right end of its base. Each rectangle's height in a midpoint Riemann sum is equal to the function's value at the midpoint of its base.To know more about Riemann sum please click here ; https://brainly.com/question/9043837
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A given set of data with normal distribution has a mean height of 70 inches and a standard deviation of 3 inches. What would be an appropriate height range for 95% of all people in the sample?
An appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.
In a study conducted in the United States, a random sample of individuals was measured for their heights.
The data revealed that the heights followed a normal distribution, with a mean of 70 inches and a standard deviation of 3 inches.
Based on this information, we can determine an appropriate height range that would encompass approximately 95% of all people in the sample.
To calculate the height range, we can utilize the properties of the normal distribution.
In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this case, with a standard deviation of 3 inches, approximately 95% of the data would fall within two standard deviations from the mean.
To find the height range, we need to determine the values that are two standard deviations above and below the mean.
Two standard deviations below the mean:
70 inches - (2 \(\times\) 3 inches) = 70 inches - 6 inches = 64 inches.
Two standard deviations above the mean:
70 inches + (2 \(\times\) 3 inches) = 70 inches + 6 inches = 76 inches
Therefore, an appropriate height range that would encompass approximately 95% of all people in the sample is from 64 inches to 76 inches.
It's important to note that this range is specific to the sample in the study and may not be applicable to the entire population.
Additionally, other factors such as age, gender, and ethnicity can influence height distributions.
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Question: In a study conducted in the United States, a random sample of individuals was measured for their heights. The heights were found to follow a normal distribution with a mean of 70 inches and a standard deviation of 3 inches. Based on this data, what would be an appropriate height range that would encompass approximately 95% of all people in the sample?
What is the average rate of change for this quadratic function for the interval
from x=0 to x = 2?
O A. -3
B. -4
O
C.-2
O
D. -6
PREVIOUS
Answer:it’s -2
Step-by-step explanation:
Did on apex lol
Suppose that two fair dice are rolled. find the probability that the number on the first die is a 1 or the number on the second die is a 4
Answer:
1/36
Step-by-step explanation:
Assuming the dice has 6 sides in total, we can set up a probability for each scenario.
The chances of the dice landing on 1 will be 1/6, since there are 6 total faces. Same goes for the second die and landing on 4.
Now that we have our 2 probabilities, we multiply them to get the final probability. 1/6 x 1/6 = 1/36.