Answer: 19.5
Step-by-step explanation:
obtuse + acute = 180
131 + t = 180
t = 49 degrees for the top angle
49 + 61 + 4x-8 = 180 degrees in a triangle
110 + 4x - 8 = 180
102 + 4x = 180
4x = 78
x = 19.5
Answer:
x = 19.5
Step-by-step explanation:
The interior angles of a triangle will ALWAYS have a sum of 180°
25 POINTS
Fill in all of the blanks
Answer:
B
Step-by-step explanation:
can i have brainliest too please
Answer:
1. Green box = -5
2. Under the root = 13
3. Denominator = 6
Step-by-step explanation:
1. It is unchanged from the question.
2. 5^2 -4×3×1 = 25 -12 = 13
3. 2×3 = 6
one morning, ms. simon drove directly from her home to her workplace in 242424 minutes. what was her average speed, in miles per hour, during her drive that morning?
The average speed in miles per hour during her drive that morning is 43.5 miles per hour .
In the question ,
it is given that ,
the distance between home to freeway entrance is = 0.6 miles
the distance between freeway entrance to freeway exit is = 15.4 miles
the distance between freeway exit to workplace is = 1.4 miles
So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles
we know that 24 minutes = 24/60 = 0.4 hours ,
the average speed = total distance / total time
= 17.4/0.4
= 43.5 miles per hour
Therefore , the average speed is 43.5 miles per hour .
The given question is incomplete , the complete question is
One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?
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A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is23ft ft?
Answer:
Step-by-step explanation:
Simply put, it is similar to finding the area of a circle.
Therefore, a=pi*r^2
a=pi*23^2
a=529pi
a=1661.9 ft^2
In the number 2,222. 222, what is the difference between the 2 in the tens place and the 2 in the column to its left?.
The difference between the 2 in the tens place and 2 to its left column in the given number 2,222.222 is 180.
According to the number system, a number can be written in its expanded form according to their pace value in the chart.
2,222.222 can be written as 2×1000+2×100+2×10+2X1+2×1/10+2×1/100+2×1/1000
The place value of 2 in the tens place in given number 2,222.222 = 20
The place value of 2 in its left column in the given number 2,222.22 = 200
Difference between the place of 2 in tens place and 2 in its left column
= 200 - 20
= 180
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Graph y = – 3x + 6 using the interactive graphing calculator. Which of the following statements are true?
The line increases from left to right.
The line crosses the x-axis at –3.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
The line does not enter quadrant II at all.
The point (3.5, –4.5) lies on the line.
Step-by-step explanation:
I attached a pic of the graph
the line crosses the y axis at 6
as the input increases, the output decreases
Answer: I know its late but I'm sill going to put it for anyone who needs it in the future. :)
Step-by-step explanation:
Bertie has 3494 comic books he wants them in groups of 8 how many comics would be left over after putting them in groups of 8
Answer: 6 would be left
Step-by-step explanation: divide 3494 by 8
There will be 6 comics left over after putting them in groups of 8
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Bertie has 3494 comic books he wants them in groups of 8.
∴ The no. of groups can be obtained if we divide the total number of books by no. of books in each group which is,
= (3494/8).
= 438×8 + 6.
So, There will be 6 comics left over after putting them in groups of 8.
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Which describes the difference between the two sequences?
First Sequence: 3, 6, 9, 12, ...
Second Sequence: 3, 12, 48, 192, ...
The first sequence is geometric because there is a common difference of 3. The second sequence is arithmetic
because there is a common ratio of 4.
O The first sequence is arithmetic because there is a common difference of 3. The second sequence is geometric
because there is a common ratio of 4.
The first sequence is arithmetic because there is a common ratio of 3.
The second sequence is geometric because there is a common difference of 4.
O The first sequence is arithmetic because there is a common difference of 4. The second sequence is geometric
because there is a common ratio of 3.
Answer:
the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
Step-by-step explanation:
In this question table is given as
n 1 2 3 4 5
f(n) 48 -96 192 -385 768
We have to find out if the sequence is arithmetic or geometric.
For Arithmetic sequence :
Difference should be common in each term of fees.
common difference = f(2) - f(1)
= -96 -48 = -144
similarly = f(3) - f (2) = 192 + 96 = 288
Here, ≠ so the sequence is not an arithmetic sequence.
For Geometric sequence :
Ratio should be common in each term of f(n)
Common ratio =
Therefore, the sequence is geometric sequence with common ratio (-2).
Option : D is correct.
Instructions. Solve the following problems on a piece of clean paper. Show your SOLUTION and BOX your final answer. Set Concepts 1. A={1,2},B={1,2,4,5} and C={5,7,9,10} find a. A∪B b. (A∪B)∩C c. (A∩B)∩C 2. U={a,b,c,d,e,f,g},A={a,b,c,d},B={a,b,c,d,e,f},C= {a,b,g} find A
ˉ
, B
ˉ
, C
ˉ
,A−B,B−C,A∩B(A∪B) and B∩C. 3. If A={x∣x is an integer and x≤4} and U=Z, then write A
ˉ
.
Given:A={1,2},B={1,2,4,5} and C={5,7,9,10} 1. (a) A∪B= {1, 2, 4, 5} (union of A and B)(b) (A∪B)∩C = {5} (intersection of A∪B and C)(c) (A∩B)∩C = {} (intersection of A and B) ∩ C is an empty set.2. Let's find A
ˉ
, B
ˉ
, C
ˉ
,A−B,B−C,A∩B(A∪B) and B∩C.(i) A
ˉ
= U - A = {e,f,g} (complement of set A)(ii) B
ˉ
= U - B = {g} (complement of set B)(iii) C
ˉ
= U - C = {a, b, c, d, e, f} (complement of set C)(iv) A - B = {} (A has all elements of B)(v) B - C = {4} (B has an extra element 4 compared to C)(vi) A∩B = {1,2} (intersection of set A and B)(vii) (A∪B) = {1, 2, 4, 5}(viii) B∩C = {5}(intersection of set B and C)3. If A={x∣x is an integer and x≤4} and U=Z, then write A
ˉ
.Complement of set A, A
ˉ
= U - A = {x∣x is an integer and x > 4}.
Hence, A∪B= {1, 2, 4, 5} (union of A and B)A∪B)∩C = {5} (intersection of A∪B and C)(A∩B)∩C = {} (intersection of A and B) ∩ C is an empty set.A
ˉ
= U - A = {e,f,g} (complement of set A)B
ˉ
= U - B = {g} (complement of set B)C
ˉ
= U - C = {a, b, c, d, e, f} (complement of set C)A - B = {} (A has all elements of B)B - C = {4} (B has an extra element 4 compared to C)A∩B = {1,2} (intersection of set A and B)(A∪B) = {1, 2, 4, 5}B∩C = {5} (intersection of set B and C)A
ˉ
= {x∣x is an integer and x > 4}
The solution to the given problem has been solved and the solution is given in detail.
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You invest $5,000 into a CD that is compounded every month. The interest rate is
1.25% and you leave the money in the CD for 5 years. How much money do you
have in your CD at the end of the 5 years?
You will have $5,333.85 in your CD at the end of the 5 years.
The formulation for the future value of an investment with monthly compounding is:
\(CD = P(1 + \frac{r}{n} )^{(nt)}\)
Wherein:
CD = final amountP = primary amountr = annual interest charge (as a decimal)n = number of times the interest is compounded in step with 12 monthst = time (in years)Plugging in the given values:
\(CD= 5000(1 + \frac{0.0125}{12} )^{(12*5)}\)
\(CD = 5000(1.00104)^{60}\)
CD = 5000(1.06677)
CD = $5,333.85
Consequently, you will have $5,333.85 in your CD at the end of the 5 years.
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Find the circumference of this circle
using 3 for T.
C [?]
34
C = id
HELPPPP
Step-by-step explanation:
C = 3 × 34
C = 102
Usually it's
C = 3.14 × 34
C = 106.76
This is a more accurate answer but with your question specifically, the answer above is more correct.
Can someone tell this word please. Identify the vocabulary word that matches the picture.
Answer:
proably and acute angle
Step-by-step explanation:
acute angles are angles that are less than 90 degrees and the picture obviouly shows an angle that is less than 90
Estimate to find the correct answer for each expression.
A. 270 349. 6 - 112. 8
B. 220 173. 3 + 78. 4
C. 240 817. 2 - 597. 1
D. 250 108. 8 + 159. 3
The correct answer of estimation for each expression is 269,900, 220,251.7, 240,220.1 and 250,268.1.
270,349.6 - 112.8 = 270,236.8
To estimate, we can round 270,349.6 to 270,000 and round 112.8 to 100. Subtracting 100 from 270,000 gives us 269,900. Therefore, the estimated answer is 269,900.
220,173.3 + 78.4 = 220,251.7
To estimate, we can round 220,173.3 to 220,000 and round 78.4 to 80. Adding 80 to 220,000 gives us 220,080. Therefore, the estimated answer is 220,080.
240,817.2 - 597.1 = 240,220.1
To estimate, we can round 240,817.2 to 240,000 and round 597.1 to 600. Subtracting 600 from 240,000 gives us 239,400. Therefore, the estimated answer is 239,400.
250,108.8 + 159.3 = 250,268.1
To estimate, we can round 250,108.8 to 250,000 and round 159.3 to 160. Adding 160 to 250,000 gives us 250,160. Therefore, the estimated answer is 250,160.
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Compute the following expression using Matlab commands. Let x=2,y=5. x−yyx3 2. Compute the following expression using Matlab commands. Let x=2,y=5.
Letting x = 2 and y = 5, we can compute the value of the expression. The value of the expression x - y / (y * x^3) with x = 2 and y = 5 is 1.875.
In MATLAB, we can assign values to variables and perform arithmetic operations to compute the desired expression. To evaluate the expression x - y / (y * x^3) with x = 2 and y = 5, we can use the following MATLAB commands:
```
x = 2;
y = 5;
result = \(x - y / (y * x^3)\)
```
After executing these commands, the variable `result` will contain the computed value of the expression.
In this case, with x = 2 and y = 5, the expression evaluates to:
```
result = 2 - 5 / (5 * 2^3)
= 2 - 5 / (5 * 8)
= 2 - 5 / 40
= 2 - 0.125
= 1.875
```
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Let A be a 4X5 matrix. If a1,a2,a4 are linearly independent and a3=a1+2a2 a5=2a1-a2+3a4 determine the reduced row echelon form of A.
As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)
The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.
Here we have the 4 x 5 matrix.
And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.
Now, we have to apply the value of
a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.
Then we get the matrix of 3 x 3 looks like the following,
\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)
Now, we have to do the following steps in order to get the reduced row echelon form of A,
The first and foremost steps is to take the non-zero number in the first row is the number 1.
Then we have to place any non-zero rows are placed at the bottom of the matrix.
This steps are repeated until the final row becomes zero.
Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)
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4x+9/y+11=0 and 6/y -3x=8
9514 1404 393
Answer:
(x, y) = (-2 12/17, -51)
Step-by-step explanation:
Here is the answer to ...
\(4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8\)
If you mean something else, then parentheses are needed.
__
Let z = 1/y. Then the equations in general form are ...
\(4x+9z+11=0\\3x-6z+8=0\)
The solution (cross multiplication method) is ...
x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17
z = (11·3 -8·4)/-51 = -1/51
y = 1/z = -51
The solution is (x, y) = (-2 12/17, -51).
if mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle
Hi there! :)
Answer:
\(\huge\boxed{x = 4.5}\)
m∠BGC = 16x - 4
m∠CGD = 2x + 13
m∠BGC + m∠CGD sums up to 90°, therefore:
(16x - 4) + (2x + 13) = 90
Combine like terms and simplify:
16x + 2x - 4 + 13 = 90
18x - 4 + 13 = 90
18x + 9 = 90
18x = 81
18x/18 = 81/8
x = 4.5
what is 5.385 rounded to the nearest tenth
PLEASE HELP!!
The perimeter of a rectangle is 46 inches. Find the dimensions if the length is 5 inches greater than twice the width.
Answer:
6
Step-by-step explanation:
W = x
L = 2x - 5
P = 2W + 2L
46 = 2(x) + 2(2x - 5)
46 = 2x + 4x - 10
46 = 6x - 10
46 + 10 = 6x
36 = 6x
x = 6
is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4
The area of a circle with radius 4 is 50.24.
Writing the equation form for area and radius of two circles -
(Area/radius²) for circle 1 = (Area/radius²) for circle 2
Keep the values in the relation to find the area of small circle.
314/10² = Area/4²
Area = (314 × 16)/100
Performing multiplication on Right Hand Side of the equation to find the area of circle
Area = 5024/100
Performing division on Right Hand Side of the equation to find the area of circle
Area = 50.24
Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.
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The U.S. Senate consists of 100 senators, with 2 from each of the 50 states. There are 50 Democrats in the Senate. A committee of size 10 is formed, by picking a random set of senators such that all sets of size 10 are equally likely. a) Find the expected number of Democrats on the committee. b) Find the expected number of states represented on the committee (by at least one senator) c) Find the expected number of states such that both of the state's senators are on the committee.
Note that based on probabilities,
The expected number of Democrats on the committee is 5.
The expected number of states represented on the committee is 26.
The expected number of states such that both of the state's senators are on the committee is 9.09.
How is this so ?a) The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.
So, the expected number of Democrats on a committee of size 10 is
1/2 * 10 = 5.
b) The minimum number of states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.
The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/ 2 = 26.
c) There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.
The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99
= 1/11.
The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.
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\(\frac{(1-tan^{2}x)tan(2x) }{tanx}\) simplify
Step-by-step explanation:
\(\frac{(1-tan^{2}x)tan(2x) }{tanx} \\ but \: \tan(2x) = \frac{2 \tan(x) }{1 - { \tan }^{2}x } \\ therefore : \\ = \frac{(1 - { \tan ^{2}x)(2 \tan(x)) }}{ (\tan(x) )(1 - { \tan ^{2}x })} \\ = \frac{2 \tan(x) }{ \tan(x) } \\ = 2\)
Plz help im bad and i need to know the answer and free brainest
6 is not the correct answer i just put it there guessing
Pls help
What is the volume of this cylinder?
Use a 3.14 and round your answer to the nearest hundredth.
Answer:
The volume of cylinder is 602.88 in³.
Step-by-step explanation:
Here's the required formula to find the volume of cylinder :
\({\longrightarrow{\pmb{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}}\)
\(\pink\star\) π ≈ 3.14 \(\pink\star\) r = radius \(\pink\star\) h = heightSubstituting all the given values in the formula to find the volume of cylinder :
\({\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4)}^{2}12}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4 \times 4)}12}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(16)}12}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 12}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} = 50.24 \times 12}}}\)
\({\longrightarrow{\sf{Volume_{(Cylinder)} \approx 602.88}}}\)
\(\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} \approx 602.88 \: {in}^{3}}}}}}\)
Hence, the volume of cylinder is 602.88 in³.
\(\rule{300}{2.5}\)
suppose packet switching is used. what is the probability that one user (any one among the 29 users) is transmitting, and the remaining users are not transmitting?
The combined probability is: p × (1 - p)²⁸, (1 - p) represents the probability that a user is not transmitting, and (1 - p)²⁸ represents the probability that the remaining 28 users are not transmitting.
To calculate the probability that one user is transmitting while the remaining users are not transmitting, we need to make some assumptions and define the conditions of the system.
Assumptions:
1. Each user's transmission is independent of the others.
2. The probability of each user transmitting is the same.
Let's denote the probability of a user transmitting as "p". Since there are 29 users, the probability of one user transmitting and the remaining 28 users not transmitting can be calculated as follows:
Probability of one user transmitting: p
Probability of the remaining 28 users not transmitting: (1 - p)²⁸
To find the combined probability, we multiply these two probabilities together:
Probability = p × (1 - p)²⁸
Please note that without specific information about the value of "p," it is not possible to provide an exact numerical value for the probability. The value of "p" depends on factors such as the traffic patterns, the behavior of users, and the system design.
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Since the 1980s, the percentage of Americans who are members of a workplace union has reduced by how much?
Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.
According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.
This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.
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Find the linearization of the function z = x squareroot y at the point (6, 1). L(x, y) = Find the linearization of the function f(x, y) = squareroot 36 - 4x^2 - 4y^2 at the point (-1, 2). L(x, y) = Use the linear approximation to estimate the value of f(-1.1, 2.1) =
Answer:
Step-by-step explanation:
Find the linearization of the function z = x squareroot y at the point (6, 1). L(x, y) = Find the linearization of the function f(x, y) = squareroot 36 - 4x^2 - 4y^2 at the point (-1, 2). L(x, y) = Use the linear approximation to estimate the value of f(-1.1, 2.1) =
what is 852,442 rounded to the nearest thousand?
Answer:
852,000
Step-by-step explanation:
Find the distance between Points C(4, 6) and D(−5, 6) without using a coordinate plane.
Enter the correct answer in the box.
Answer:
-1, 0
Step-by-step explanation:
i think <33
Pls help with this math question, I only have 13 minutes left!!
Answer:should be c if im correct
Step-by-step explanation:
Step by step pls.
Find the absolute extreme if they exist, as well as the value of x where they occur for the function f(x) = 6x/x^2+3 on the domain [-3,0].
The absolute minimum of the function on the domain [-3, 0] is (-√3, -√3)
Find the absolute extreme of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \frac{6x}{x^2 + 3}\)
Differentiate the function
So, we have
\(f'(x) = -\frac{6(x^2 - 3)}{(x^2 + 3)^2}\)
Set the differentiated function to 0
So, we have
\(-\frac{6(x^2 - 3)}{(x^2 + 3)^2} = 0\)
This gives
-6(x² - 3) = 0
Divide by -6
x² - 3 = 0
When solved for x, we have
x = ±√3
The domain is [-3, 0]
So, we have
x = -√3
Recall that
\(f(x) = \frac{6x}{x^2 + 3}\)
This gives
\(f(-\sqrt3) = -\frac{6\sqrt3}{3 + 3}\)
\(f(-\sqrt3) = -\frac{6\sqrt3}{6}\)
Evaluate
f(-√3) = -√3
Hence, the absolute minimum is (-√3, -√3)
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