Answer:
0.78539816
Step-by-step explanation:
hope this helped
Answer:
25m
Step-by-step explanation:
/_B=pie/4=45°
since we have /_C=90° then this triangle is a right isosceles triangle
so sides are equal
so a=b= 25 m
250 pounds = how many tons
The metric unit from pounds to tons is 250 pounds = 0.125 tons
Converting the metric unit from pounds to tonsFrom the question, we have the following parameters that can be used in our computation:
250 pounds = how many tons
As a general rule, we have
1 pound = 0.0005 tons
Multiply both sides of the equation by 250
So, we have
250 * 1 pound = 0.0005 tons * 250
Evaluate the products
250 pounds = 0.125 tons
Hence, the conversion is 250 pounds = 0.125 tons
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(4.51-5.32)(5.17-6.57)
plz tell with solution that means how do we do !!! plz its important
Answer:
1.134
Steps:
= (4.51 - 5.32)(5.17-6.57)
= -0.81 × (-1.4)
= 1.134
Simplify (+3 points): -3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
Answer:
-4x - 17y + 12
Step-by-step explanation:
I combined like terms
-3x + 5y - 10x - 14y+4+9 -8y + 9x - 1
= -4x - 17y + 12
A particle moves along the x-axis so that at any time t≥0 its position is given by x(t)=12(a−t)2, where a is a positive constant. For what values of t is the particle moving to the right? responses the particle is moving to the right only if 0
The particle will move to the right for t > a .
In the question ,
it is given that ,
a particle moves along the x axis , such that at any time t ≥ 0 ,
its position is given by the equation
x(t) = 12(a−t)² ,
where a is = positive constant
to find value of the particle moves right ,
we differentiate x(t) , with respect to "x" .
x'(t) = 12×2(a - t)×(-1)
v(t) = -24(a-t) ..... because x'(t) = v(t)
for particle to move right , v(t) > 0 .
-24(a-t) > 0
dividing both sides by "-24" , we get
a - t < 0
a < t
t > a .
Therefore , The particle will move to the right for t > a .
The given question is incomplete , the complete question is
A particle moves along the x-axis so that at any time t ≥ 0 its position is given by x(t)=12(a−t)² , where a is a positive constant. For what values of t is the particle moving to the right ?
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(7.2x10^-4)(8.0x10^-5
Answer:
5.76e-8
Step-by-step explanation:
(7.2x10^-4)(8.0x10^-5)
5.76e-8
When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, what is the critical value? H0: u≥2 hours and H1:u<2 hours H0:u<2 hours and H1:u≥2 hours H0:u=2 hours and H1:u=2 hours H:u≤2 hours and H1:u>2 hours
The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:
To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.
Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.
If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.
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Find the Error A student states that the exterior angle of a triangle can never be a right angle. Find the mistake and correct it.
Answer:
There is no photo here so sorry.
Step-by-step explanation:
A student states that the exterior angle of a triangle can never be a right angle. The statement is incorrect.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
A student states that the exterior angle of a triangle can never be a right angle.
The given statement is incorrect because, in the right-angle triangle, the interior and exterior angles are equal that is right angle.
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The formula A - 2000e" can be used to find the dollar value of an investment of $2000 after years when the
interest is compounded continuously at a rate of r percent. Find the value of the investment after 6 years if the
interest rate is 7%. Find the value of the investment after 12 years if the interest rate is 8%.
a. $3043.92; $2920.47
c. $3043.92; $5223.39
b. $4901.85; S5223.39
d. $4901.85; $2920.47
The values of the investment after 6 and 12 years are $3043.92 and $5223.39, respectively. This corresponds to option c.
To find the value of the investment after 6 years with a 7% interest rate and after 12 years with an 8% interest rate, we will use the formula
\(A = 2000e {}^{rt} \)
where A is the value of the investment, r is the interest rate (as a decimal), and t is the time in years.
For 6 years at 7%:
A = 2000e⁽⁰·⁰⁷ˣ⁶⁾ = 2000e⁽⁰·⁴²⁾ ≈ $3043.92
For 12 years at 8%:
A = 2000e⁽⁰·⁰⁸ˣ¹²⁾ = 2000e⁽⁰·⁹⁶⁾ ≈ $5223.39
Hence the answer of the question is C. $3043.92; $5223.39
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Out of 120 high school boys and 80 high school girls, 45 students tried out for track. Twelve of those 45 students were girls. Use this information to complete the two-way table. Enter your answer by filling in the boxes to complete the table.
As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.
Total number of boys = 120
Total number of girls = 80
Students who tried out for track = 45
Students that were girls = 45
If 12 were girls, therefore,
Total number of boys -
= 45 - 12
= 33
This means that 33 boys tried the track
Now, since 12 girls tried the track
Boys who did not try the track -
= 120 - 33
= 87
Girls who did not try the track -
= 80 - 12
= 68
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Dima has twice as many books as Ramiro. If dima gives 12 books to Ramiro, they will have the same number of books.How many books do they have in total
Answer:
They have 36 books in total.
Step-by-step explanation:
Let d = The number of Dima's books
Let r = The number of Ramiro's books.
d = 2r
d - 12 = r Substitute 2r for d in the second equation and solve for r
2r - 12 = r Subtract 2r from both sides
2r - 2r - 12 = r - 2r
-12 = -r Multiply both sides by -1
12 = r
Ramiro has 12 books.
d = 2r substitute 12 for r and solve for d
d = 2(12)
d = 24
Dima has 24 books.
Together they have 36 books (12 + 24)
Helping in the name of Jesus.
Answer:36
Step-by-step explanation:
simplify 3x^2+22x+24 over 3x^2-8x-16
Answer:
ti is 20
Step-by-step explanation:
ti's cuz I got 52 and I did was - 52 with 32 and I got 20
pls
ef F F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results. S (3z + 2y) dx + (2x - 2z) dy+ (3x - 2y) dz (a) C: line segment from (0, 0, 0) to (1,
1) The line integral value is : ∫F dr = 6
2) The line integral value is : ∫F dr = 6
3) The line integral value is : ∫F dr = 6
Here we are given:
\(F.dr = (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)
where\(\vec{F}\) is a conservative field
So,
f(x, y , z) = \(\int\limits (3x + 2y)dx + (2x -2z)dy + (3x -2y)dz,\)
f(x , y , z) = (3zx +2yx) + (2xy - 2zy) + (3xz - 2yz) + c(x , y , z)
\(f(x, y, z) = (6xz + 4xy - 4yz) + c(x, y, z)\)
Now substitute the values of x , y ,z ,
1)
Line segment from (0, 0 , 0) to (1,1 ,1)
∫F dr = f(1,1,1) - f(0,0,0)
= |6 + 4 - 4 |- |0 + 0 - 0|
∫F dr = 6
2)
Line segment from (0,0,0) to (0,0,1) to (1,1,1)
First we take (0,0,0) to (0,0,1)
\(\int _c \vec{F}.\vec{dr}=f(0,0,1)-f(0,0,0) =[6(0)(1)+4(0)(0)-4(0)(1)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\)
∫F dr = 0
\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+6 [F.dr = 6\)
3)
Line segment from (0,0,0) to (1,0,0) to (1,1,0) to (1,1,1)
First we take (0,0,0) to (1,0,0)
\(\int _c \vec{F}.\vec{dr}=f(1,0,0)-f(0,0,0) =[6(1)(0)+4(1)(0)-4(0)(0)]-[6(0)(0)+4(0)(0)-4(0)(0)] =[0+0-0]-[0+0-0]\int _{c}\vec{F}.\vec{dr}=0\)
Next we take (1,0,0) to (1,1,0)
\(\int _c \vec{F}.\vec{dr}=f(1,1,0)-f(1,0,0) = [6(1)(0) + 4(1)(1) − 4(1)(0)] - [6(1)(0) + 4(1)(0) — 4(0)(0)] = [0+4-0] - [0+0-0]\int _{c}\vec{F}.\vec{dr}=4\)
Lastly we take (1,1,0) to (1,1,1)
\(F.dr = f(1,1,1) ƒ(1,1,0) = [6(1)(1) +4(1)(1) − 4(1)(1)] - [6(1)(0) + 4(1)(1) — 4(1)(0)] =[6+4-4]-[0+4-0]\int _{c}\vec{F}.\vec{dr}=2\)
Adding the three results we get
\(\Rightarrow \int _{c}\vec{F}.\vec{dr}=0+4+2\\\\\int\limits F.dr = 6\)
Therefore we see that the Line integral for the three cases comes out to be same between the initial and final points since it is independent of the path taken.
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Challenge In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 2:5. If the team scored 24 points from three-point baskets, how many three-point tries did the team have?
Answer:
20
Step-by-step explanation:
3-point shots made : 3-point shots attempted = 2 : 5
If the team made 24 points out of 3-point baskets, then since 24/3 = 8, it made 8 3-point baskets.
Proportion:
8 made is to 2 as x attempted is to 5
8/2 = x/5
2x = 40
x = 20
how many ways are there to distribute five distinguishable objects into three indistinguishable boxes?
There are 41 ways to distribute five distinguishable objects into three indistinguishable boxes.
The boxes are indistinguishable, there are 5 different ways to arrange the number of balls in each box: (5,0,0), (4,1,0), (3,2,0), (3,1,1), or (2,2,1).
There is 1 way to put all 5 balls in one box i.e (5,0,0)
(4,1,0): There are 5 choices for the 4 balls in one of the boxes.
(3,2,0): There are 10 choices for the 3 balls in the boxes.
(3,1,1): There are 10 choices for the 3 balls in one of the boxes, and we can simply split the last two among the other indistinguishable boxes.
(2,2,1): There are 10 options for one of the boxes with two balls, then 3 options for the second box with two balls, and one for remaining for the third.
Therefore the boxes with two balls are indistinguishable, we are counting each pair of balls twice so we have to divide by two.
So there are (10×3)/2=15 arrangements of balls as (2,2,1).
Hence the total number of arrangements for 3 indistinguishable boxes and 5 distinguishable balls is 1+5+10+10+15=41.
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the total cost (in dollars) of producing x food processors is C(x)=1900+90x-0.4x^2. (a) find the exact cost of producing the 71st food processor. (b) use the marginal cost to approximate the cost of producing the 71st food processor
a. the exact cost of producing the 71st food processor is $6273.6.
b. we can approximate the cost of producing the 71st food processor as $6273.6 + $33.2 = $6306.8.
(a) To find the exact cost of producing the 71st food processor, we substitute x = 71 into the cost function C(x) = 1900 + 90x - 0.4x^2.
C(71) = 1900 + 90(71) - 0.4(71)^2
= 1900 + 6390 - 0.4(5041)
= 1900 + 6390 - 2016.4
= 6273.6
Therefore, the exact cost of producing the 71st food processor is $6273.6.
(b) The marginal cost represents the rate at which the total cost changes with respect to the number of food processors produced. We can approximate the cost of producing the 71st food processor using the marginal cost at that point.
The marginal cost can be calculated by taking the derivative of the cost function C(x) with respect to x.
C'(x) = 90 - 0.8x
Substituting x = 71 into the derivative:
C'(71) = 90 - 0.8(71)
= 90 - 56.8
= 33.2
The marginal cost at x = 71 is $33.2 per food processor. Therefore, we can approximate the cost of producing the 71st food processor as $6273.6 + $33.2 = $6306.8.
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HELP ASAP
Move symbols to the boxes to create three correct inequality statement
Let F(x) = integral from 0 to x sin(3t^2) dt. Find the MacLaurin polynomial of degree 7 for F(x)
Answer:
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Step-by-step explanation:
Recall the MacLaurin series for sin(x)
\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)
Substitute 3t²
\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)
Use FTC Part 1 to find degree 7 for F(x)
\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)
Hopefully you remember to integrate each term and see how you get the solution!
누구든지 나를 도울 수 있을까요?
중국의 인구는 사람들에 관한 것입 1.4 x 19^9 니다. 줄리는 약 7,000명의 인구가 있는 마을에서 자랐습니다. 줄리의 고향보다 중국의 인구는 몇 배 더 큽니까?
Can anybody help me?
The population of China is about 1.4 x 10^9 people. Julie grew up in a town that had a population of about 7,000 people. How many times greater is the population of China than Julie's hometown?
Answer:
The expanded form of 1.2*10^9 is 1400000000
I'm not very sure what you mean but I have found two solutions.
Solution No.1:
1400000000 - 7000 = 1399993000
Solution No.2:
Let's say the variable is "x"
7000 * x = 1400000000
x = 200000
Hope this helped! :)
7/8 rounded to the nearest thousand
what is the definition of notation question 15 options: it means that there is no a polynomial time reduction exist from b to a. it means that there is no a polynomial time reduction exist from a to b it means that there exists a polynomial time reduction from a to b it means that there exists a polynomial time reduction from b to a
Notation refers to a system of symbols or characters used to represent something. In the context of computational complexity theory, notation is used to describe the complexity of algorithms and problems. In particular, it is used to describe the complexity of polynomial time reductions between problems. A polynomial time reduction from problem A to problem B means that there exists an algorithm that can transform an instance of problem A into an equivalent instance of problem B in polynomial time. If there is no polynomial time reduction from problem A to problem B, we say that there is no polynomial time reduction exist from A to B. Therefore, the correct option is "it means that there is no a polynomial time reduction exist from a to b."
It means that there exists a polynomial time reduction from A to B.
In this context, a polynomial time reduction is a method of transforming one problem (A) into another problem (B) using a process that takes polynomial time. The notation indicates that there is an efficient algorithm for converting A to B, so if we can solve problem B efficiently, we can also solve problem A efficiently.
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The graph shows the volume of ice cubes versus temperature in degrees
Celsius. Whiclestatement is false?
A. The data show a negative linear relationship.
B. Volume is the explanatory variable.
C. Temperature is strongly correlated to the volume of ice cubes.
D. The correlation coefficient is close to -1.
Answer:
A. The data show a negative linear relationship.
Step-by-step explanation:
According to the attached image as we can see that the temperature is in Y axis and volume of ice cubes is in X axis
So the following statements considered to be true
a. The volume represents the explanatory variable
b. Temperature would be strongly correlated to the ice cubes volume
c. As the correlation coefficient is near to -1
But it does not show the negative linear relationship
Therefore the correct option is a.
PLEASE HELP!!!!
What would be the length for KL and why? PLEASE HELP
Answer:
5.333
Step-by-step explanation:
8(0.75)=6
x(.75)=4
5.333×.75=4
Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
help plz plz plz plz
Answer:
2.8 In is the answer to the question
Step-by-step explanation:
Nw+WD=ND
Cos100x+4/3=0.............
answer:
\({ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}\)
Click Submit.
Which unit of measure would be appropriate for the area of a picture that is 20
centimeters tall and 15 centimeters wide?
O A. Meters
OB. Square centimeters
O C. Cubic centimeters
O D. Centimeters
ons
Answer:
Square centimeters
Step-by-step explanation:
As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.
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HELP ME PLEASE EVERYBODY!!!!!!!!!!!!!!!!!!!!
Function f is defined by
f(x) = - 2 x 2 + 6 x - 3
find f(- 2).
Answer: -23
Substitute x by -2 in the formula of the function and calculate f(-2) as follows
f(-2) = - 2 (-2) 2 + 6 (-2) - 3
f(-2) = -23
Hope it helps!
what is the null hypothesis in words? group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes. the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes the (sample) mean amount of time reading and sending e-mails daily is equal to 60 minutes. the (sample) mean amount of time reading and sending e-mails daily is greater than 60 minutes.
The null hypothesis is a common statistical theory that contends that there is no statistically significant association between any two sets of a single observed variable.
The hypothesis suggests no two given sets make any significance meaning until and unless they are proven wrong.
As given in the example,
The group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes and the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes.
You can see in one set the amount of reading and sending e-mails is more than 60 minutes and in other one the amount of time reading and sending e-mails is equal to 60 minutes which doesn't make any sense if you consider them both in a single set of information.
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On a Sunday night, there are four people on a bus. The bus has five stops left before it end sits route. Suppose each person will get off the bus at one of the stops, and will do so randomly
1- How many different ways could the people get off the bus?
2- What is the probability that all four people get off the bus on the first stop?
3- What is the probability that all four people get off the bus on the same stop?
4- What is the probability that exactly three of the four people get off the bus on the same stop?
There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is binomial probability distribution.
1- 5 ways
2- 5/16
3- 1/16
4- 1/16
In the question given above n= 5 p =1/2 q= 1/2 r is the given point.
Part 1:The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore
nCr= 5C4= 5 ways
2. Part 2:
The probability that all four people get off the bus on the first stop is given by :
P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16
3. Part 3:- The probability that all four people get off the bus on the same stop.
P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16
4. Part 4- The probability that exactly three of the four people get off the bus on the same stop.
P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16
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The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.