Answer:
63
Step-by-step explanation:
A median bisects the side that it is drawn to, so
DM = ME4x - 10 = 3x + 5x - 10 = 5x = 15So, FN = 4(15) + 3 = 63.
Once again, since a median bisects the side it is drawn to, NE = 63.
By 1850, the European population could not be closely approximated as government statistics were not yet kept. was close to figures from 1800. was over 58 million. was over 173 million. was over 265 million.
By 1850, the European population could not be accurately estimated using government statistics as such data was not systematically recorded.
In the mid-19th century, the collection of reliable population statistics was not yet standardized across European countries. Therefore, there was limited official data available to provide an accurate assessment of the European population during this period. However, based on estimates and historical records, it is believed that the population surpassed 58 million by 1850. This indicates an upward trend in population growth when compared to earlier figures from 1800.
The population growth was influenced by factors such as declining mortality rates, improvements in healthcare, and advancements in agriculture and industrialization, which contributed to increased food production and reduced famines and epidemics. Although the precise number cannot be determined, it is clear that the European population experienced significant growth during the first half of the 19th century.
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Which functions is nonlinear
Answer:
the 3rd one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
72,60 ratio of first to the second reduced form.
the reduced form of 72 : 60 is 6 : 5. and the reduced form of 38 : 57 is 2 : 3.
Step-by-step explanation:
Annual premium per $100 coverage Brick Steel Mixed Wood Area Rating Building Cantierta Duiking Coman's Buiding Content- Burong Collonis City 039 Suburb 0 56 0 83 Rural [ 06 8. Travis rents an apartment in a historic, all-brick building downtown. The value of the belongings in the apartment is about $11,000. If Travis wishes to insure his belongings while renting, how much will he have to pay for insurance per year? Use the table above to solve.
Answer:
$47.3
Explanation:
First, we need to find the corresponding value for the all-brick apartment located downtown. So, taking into account the table, we will use the value 0.43 because he wishes to ensure his belongings.
Then, using the fact that the value of the belongings in the apartment is about $11,000, we get that we can calculate how much he will have to pay as follows:
\(11000\times\frac{0.43}{100}=47.3\)Therefore, he will have to pay $47.3 for insurance.
Solve this equation:
3x^2y^2-y^7+x^4
When
x=-2
y=1
Answer:
27Step-by-step explanation:
Given:
x = - 2, y = 1Find the value of the expression:
3x²y² - y⁷ + x⁴ =3(-2)²(1)² - 1⁷ + (-2)⁴ =12 - 1 + 16 =27find the geometric mean of 8 and 28
Answer:
\(4\sqrt{14}\)
Step-by-step explanation:
1) Multiply the numbers together.
8 times 8 = 224
2) Find the square root of the result. Then break it down into its prime factors.
\(\sqrt{224} = \sqrt{2x2x2x2x2x7}\) (pretend the x's are multiplication signs)
3) Simplify.
\(4\sqrt{14}\)
The geometric mean of 8 and 28 is \(4\sqrt{14}\)
Calculation of geometric mean:Since there are two numbers i.e. 8 and 28
So, the geometric mean is
\(= \sqrt{8\times 28}\\\\ = \sqrt224\)
= \(4\sqrt{14}\)
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Find the partial integration of f = tan(2nπx).
A.sin (2nлx)/2nл
B. log (tan (2nлx)^2+1)/ 4ηπ
C .-(cos (2nлx))/2nл
D .0
Partial integration, also known as integration by parts, is a technique used to evaluate integrals of products of functions. The correct answer is B. log(tan(2nπx)^2 + 1)/(4nπ).
The formula for partial integration is ∫ u dv = uv - ∫ v du, where u and v are functions.
In this case, let's choose u = 1 and dv = tan(2nπx) dx. This implies du = 0 (since the derivative of a constant is zero) and v = ∫ tan(2nπx) dx.
To find v, we can use the substitution method. Let's set u = 2nπx, so du = 2nπ dx. Rearranging, we have dx = du/(2nπ).
Substituting these values into the integral for v, we get:
v = ∫ tan(u) (du/(2nπ)) = (1/(2nπ)) ∫ tan(u) du.
Using the integral of tan(u), which is -ln|cos(u)| + C, where C is the constant of integration, we have:
v = (1/(2nπ)) (-ln|cos(u)| + C).
Now, applying the formula for partial integration, we have:
∫ tan(2nπx) dx = uv - ∫ v du
= 1 * [(1/(2nπ)) (-ln|cos(u)| + C)] - ∫ [(1/(2nπ)) (-ln|cos(u)| + C)] * 0
= (1/(2nπ)) (-ln|cos(u)| + C).
Simplifying further, we can express the answer as:
∫ tan(2nπx) dx = (1/(2nπ)) (-ln|cos(2nπx)| + C).
Therefore, the correct answer is B. log(tan(2nπx)^2 + 1)/(4nπ).
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Tina built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle? Why or why not?
Answer:
yes, It's a right triangle.
Step-by-step explanation:
First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.
help me with this plss
Answer:
31-13=18
Step-by-step explanation:
so its 18 pls give brainliest
Answer:
18
Step-by-step explanation:
Since Robyn bought 13 video games and got 31 at the end, if you take away 13 then you will get 18 meaning the answer is 18
Maths Sum:
There's 2 ways you could go this, there's the algebraic way of doing it (that I don't recommend for this type of question and is a bit to advanced right for this question also) which is:
x + 13 = 31
- 13 -13
x = 18
And there's the simple way of doing that I recmmend for this type of question which is:
31 - 13 = 18
HELP ME PLEASE, I need help and don’t understand at all !
okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
can someone pls help
Answer:
1.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
its the same number
an exponent is Multipulcation
anything times one is that number
When a follow-up group session with the entire group is not practical, group leaders can__________ to assess the members’ perceptions about the group and its impact on their lives.
When a follow-up group session with the entire group is not practical, group leaders can use various methods to assess the members' perceptions about the group and its impact on their lives.
One common method is to use individual interviews or surveys to gather feedback from each member. This can be done in person, over the phone, or through online surveys or questionnaires.
Another method is to use focus groups, where a subset of members is invited to participate in a group discussion or interview about their experiences in the group. This can provide more detailed feedback and insights into the group dynamics and its impact on members.
Group leaders can also use self-report measures or standardized questionnaires to assess members' perceptions and experiences. These measures can be administered before, during, or after the group sessions to track changes in members' perceptions over time.
Ultimately, the method chosen will depend on the specific needs and circumstances of the group and its members. The goal is to gather feedback and insights that can be used to improve the group and its effectiveness, even if a follow-up group session with the entire group is not practical.
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joy has thin rods, one each of every integer length from cm through cm. she places the rods with lengths cm, cm, and cm on a table. she then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. how many of the remaining rods can she choose as the fourth rod?
Answer:
11212321
Step-by-step explanation:
14334t34t43
Help I’m failing math
Answer:
can you send a more clear photo its quite blurry
Find the third term of (3x-2y)6
The third term of the expansion of \((3x - 2y)^6\) is \(4,905x^4y^2.\)
What is term?
In mathematics, a term refers to a single item in a sequence, a series, or an expression. It is a part of an equation or expression that is separated from other parts by a plus or minus sign.
To expand the binomial \((3x - 2y)^6\) using the binomial theorem, we need to find the coefficients of each term in the expansion. The coefficient of each term is given by the binomial coefficient formula:
C(n, k) = n! / (k! * (n-k)!)
where n is the power of the binomial (in this case, 6), and k is the index of the term we want to find.
To find the third term, we need to use k = 2, since the index starts at 0. Therefore, the third term is:
\(C(6, 2) * (3x)^4 * (-2y)^2 = (6! / (2! * 4!)) * (3x)^4 * (-2y)^2\\\\= (15 * 81x^4 * 4y^2)\\\\= 4,905x^4y^2\)
Therefore, the third term of the expansion of \((3x - 2y)^6\) is \(4,905x^4y^2.\)
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The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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Diego thinks that x = 3 is a solution to the equation x^2 = 16. Do you agree?
Answer:
No
Step-by-step explanation:
Ix = 3 is a solution then it will make the equation true, that is
3² = 9 ≠ 16
Then x = 3 is not a solution of the equation
Malia drinks 2 pints of milk each day. How many days does it take her to drink 1 gallon of milk?
The graph below shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
What is the perimeter?This is the total distance of all the sides in a shape. Due to this, the general formula is:
Perimeter = side + side + side.What is the perimeter of the doghouse?Horizontal side: 8 feetVertical sides: 10 feetDiagonal sides: 10 feet8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
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question the variable x represents the number of angelfish carlos bought and the variable y represents the number of parrotfish he bought. carlos bought 405 tropical fish for a museum display. he bought 8 times as many parrotfish as angelfish. how many of each type of fish did he buy? which system of equations models this problem?
Carlos buy 35 number of angelfish and 360 number of parrotfish.
What is solving an equation?
Unifying Principle for Equation Solving
By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.
The variable term on one side of the equation can be separated using addition or subtraction.
To find the variable, use multiplication or division.
x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.
Carlos bought 405 tropical fish for a museum display.
x + y = 405 ..(1)
As he bought 8 times as many parrotfish as angelfish.
⇒ y = 8x ..(2)
Plug y = 8x in equation (1)
x + 8x = 405
9x = 405
x = 45
Plug x = 45 in equation (2)
y = 8(45)
y = 360
Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.
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The model has 75 of 100 parts shaded to represent 0.75.
A model divided into 100 parts. 75 are shaded gray.
Amena models the solution to 0.75 – 0.20 by shading in black each of the parts she is subtracting from 0.75. Which models the solution?
A model divided into 100 parts. 75 are shaded gray. 2 are shaded black.
A model divided into 100 parts. 75 are shaded gray. 20 are shaded black.
A model divided into 100 parts. 55 are shaded gray. 20 are shaded black.
A model divided into 100 parts. 73 are shaded gray. 2 are shaded black.
Answer:
A model divided into 100 parts. 75 are shaded gray. 2 are shaded black.Step-by-step explanation:
i used a calculator to divide it by 75 witch gave me .75
please help me lol.
When the angle of elevation of the sun is 32 degrees, a flagpole casts a shadow that is 10 feet long. In feet, how tall is the flagpole?
The flagpοle is apprοximately 5.88 feet tall.
What is the angle οf elevatiοn?The angle between an item abοve the hοrizοntal line οf sight and that line is knοwn as the angle οf elevatiοn.
This issue can be resοlved using trigοnοmetry. Let's denοte the flagpοle's height "h" Drawing a right triangle with the flagpοle as the vertical leg, the shadοw as the hοrizοntal leg, and the sun as the angle οppοsite the hypοtenuse is pοssible when the angle οf elevatiοn οf the sun is 32 degrees.
We knοw that the length οf the shadοw is 10 feet, sο that we can write:
tan(32 degrees) = h/10
Tο sοlve fοr "h," we can multiply bοth sides by 10 and simplify:
h = 10 tan(32 degrees)
h = 5.88 feet
Therefοre, the flagpοle is apprοximately 5.88 feet tall.
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Help me plssssssss ( i need 20 characters)
Answer:
the answer is C
Step-by-step explanation:
this is because it passes the vertical and horizontal line test
Answer:
C
Step-by-step explanation:
Dr. Gilmore's research group tagged and released 800 squirrels for a study of a local park. Later, they trapped 430 squirrels, 43 of which had tags.
To the nearest whole number, what is the best estimate for the squirrel population?
Using proportions, it is found that the best estimate for the squirrel population is of 8000.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 43 squirrels out of 430 had tags. Considering that in the entire population, 800 are tagged, and we want to find the total population, the rule of three is given by:
43 tagged - 430 squirrels
800 tagged - x squirrels
Applying cross multiplication:
\(43x = 430 \times 800\)
\(x = \frac{430 \times 800}{43}\)
\(x = 8000\)
The best estimate for the squirrel population is of 8000.
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I’m so confused does anyone know the answer
Answer:
1.5(2x5)
Step-by-step explanation:
just swap the things in the parenthases
could u vote me brainliest plz? thx :)
What is the slope of the line passing through the points (3,5) and (-1,7)?
-1/2
To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)
Substitute the values given for the xs and ys:
(7-5)/(-1-3)
2/(-4)
simplify: -1/2
Consider this equation. 1/2x^4 - 4x + 1 = 3/x-1 + 2
Approximate the solution to the equation using three iterations of successive approximation. Use the graph as a starting point.
The solution to the equation using three iterations of successive approximation is \(x\thickapprox\dfrac{35}{16}\).
What is graph?A graph is a structure that resembles a set of objects where some pairings of the objects are conceptually "connected" in discrete mathematics, more specifically in graph theory. Each connection between two adjacent vertices is referred to as an edge, and the items are symbolized by vertices, which are mathematical abstractions.
From the graph we get that at \(x=2.23\) both graphs intersect each other.
\(\dfrac{17}{8} =2.125\)
\(\dfrac{35}{16} =2.1875\)
\(\dfrac{33}{16} =2.0625\)
\(\dfrac{19}{8} =2.375\)
35/16 is the nearest value to 2.23
Hence the correct answer is C, \(x\thickapprox\dfrac{35}{16}\)
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Answer please due now!!!
Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
Substitute a = 4 and b = - 1 into the expression
\(\frac{5-2(4+3(-1))}{2}\)
= \(\frac{5-2(4-3)}{2}\)
= \(\frac{5-2(1)}{2}\)
= \(\frac{5-2}{2}\)
= \(\frac{3}{2}\)
Question 8. Solve each recurrence relation. Show your work. (a) an=an−2+4;a1=3;a2=5 (Hint: You will need two different answers-one for when n is even and one for when n is odd.) (b) an=2an−1+1;a1=1
Answer:
The solution to the recurrence relation is given by an = 2^(n+1) - 1.
Step-by-step explanation:
(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.
For n even:
Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:
a2k = a2k-2 + 4
Now let's write out a few terms to observe the pattern:
a2 = a0 + 4
a4 = a2 + 4
a6 = a4 + 4
...
We notice that a2k = a0 + 4k for even values of k.
Using the initial condition a2 = 5, we can find a0:
a2 = a0 + 4(1)
5 = a0 + 4
a0 = 1
Therefore, for even values of n, the solution is given by an = 1 + 4k.
For n odd:
Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:
a2k+1 = a2k-1 + 4
Again, let's write out a few terms to observe the pattern:
a3 = a1 + 4
a5 = a3 + 4
a7 = a5 + 4
...
We see that a2k+1 = a1 + 4k for odd values of k.
Using the initial condition a1 = 3, we find:
a3 = a1 + 4(1)
a3 = 3 + 4
a3 = 7
Therefore, for odd values of n, the solution is given by an = 3 + 4k.
(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.
Let's write out a few terms to observe the pattern:
a2 = 2a1 + 1
a3 = 2a2 + 1
a4 = 2a3 + 1
...
We can see that each term is one more than twice the previous term.
By substituting repeatedly, we can express an in terms of a1:
an = 2(2(2(...2(a1) + 1)...)) + 1
= 2^n * a1 + (2^n - 1)
Using the initial condition a1 = 1, we have:
an = 2^n * 1 + (2^n - 1)
= 2^n + 2^n - 1
= 2 * 2^n - 1
Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.