Answer:
1 out of 6 part of time 15 and 3 mains time 15 and 3 has 6 parts and that you should take one out of this six paths
1/6 (15 x 3) = 1/6. x 45 = 15/2
then,multiple by 5
15/2 × 575/2 = 37 1/2
is 40,300,520 Greater than 4,300,520 or less than.
Answer:
40,300,520 is greater because if you line the numbers up you’ll see that the one with more numbers is always greater
Step-by-step explanation:
Answer:
40,300,520 is greater how u can tell is that there is more digits at the end of the numbers
Step-by-step explanation:
Michael drives 50 miles per hour. Stephen drives 49 miles per hour. They started at the same spot, and drove
in opposite directions. After some time, they were 999.9 miles apart. How much time has passed?
Answer:
See below
Step-by-step explanation:
When you see PER think fractions. Miles PER hour is
[tex] \frac{miles}{hour} [/tex]
We are given miles and told to solve for time. Use your knowledge of fractions to get what you need
The reciprocal of mi/hr would get what we need
[tex]miles \times \frac{hours}{miles} [/tex]
Miles cancels out here. So that means you can do this
[tex] \frac{1hour}{50miles} \times 999.9 \: miles[/tex]
In your calculator. Same with the other rate.
explain what 100 means in any base
Answer:
The 100 emoji is used in digital communication to express or emphasize achievement, support, approval, and motivation. It also generally means “absolutely” or “keep it 100” (keep it real). Related words: keep it 100. keep it hot.
The top of a rectangular table has an area of 21 square feet. The width of the table is
3 feet. What is the length of the table?
The width of the table is 63 because 21 x 3 = 63
An employee of the department store receives 10% off all purchases. The employee purchases a shirt for $46.99. Determine the cost of this purchase.
The cost of purchase of the employee for a shirt worth $46.99 is $42.30 .
In the question , It is given that
amount of discount employee receives = 10%
Price of the shirt = $46.99 ...(i)
amount of discount the employee got for the shirt = 10% of 46.99
= 0.10*46.99 ...(as 10%=0.10 )
= 4.699 ...(ii)
So the amount of discount the employee got for the shirt = $4.699
The cost of purchase = Price of shirt - discount
Substituting the values from equation (i) and equation (ii) we get,
cost of purchase = 46.99 - 4.699
= 42.291
≅ 42.30
Therefore , the cost of purchase of the employee for a shirt worth $46.99 is $42.30 .
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A regular pentagon has a side length of 2x+9. A square has a side length of 3x
The possible solution for x can be 22.5.
We are given that the side of the regular pentagon = 2 x + 9
So, the perimeter will be:
P ( Regular pentagon) = 5 × ( 2 x + 9 )
P ( Regular pentagon) = 10 x + 45
Also, we are given that the side of a square is 3 x
Perimeter will be:
P ( square) = 4 × 3 x
P ( square) = 12 x
Now, we are given that P ( Regular pentagon) = P ( square)
So, we get that:
10 x + 45 = 12 x
12 x - 10 x = 45
2 x = 45
x = 45 / 2
x = 22.5
Therefore, the possible solution for x can be 22.5.
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Your question was incomplete. Please refer the content below:
A regular pentagon has a side length of 2x-9. A square has a side length of 3x. If both polygons have the same perimeter, what is a possible solution of x?
PHOTO ATTACHED PLEASE HELP!!!
Answer:
See below.
Step-by-step explanation:
Part A: The Vertical Angles Theorem states that the opposite (vertical) angles of two intersecting lines are congruent.
Part B: b & 40, a &c
Part C: a=140, b=40, c=140
Hope this helps.
Please Help - Easy Question Algebra 2.
Answer:
The function is exponential
Its equation is [tex]y = \frac{7}{3} \cdot(\frac{1}{3} )^x[/tex]
Step-by-step explanation:
We can see that, as x increases by a constant y increases by a factor of [tex]\frac{1}{3}[/tex]
So the table represents an exponential equation
The form of the equation is [tex]a\cdot(\frac{1}{3})^{x}[/tex]
All we have to do is determine a
Take the entry for x = 0
At x = 0, the equation becomes y = [tex]a\cdot(\frac{1}{3}) ^ 0[/tex]
Any number raised to the power 0 is 1
So at [tex]x = 0, y = a\cdot1 = a[/tex]
But we know the y value at x = 0 is [tex]\frac{7}{3}[/tex]
So [tex]a = \frac{7}{3}[/tex]
The equation of the function is
[tex]y = \frac{7}{3} \cdot(\frac{1}{3} )^x[/tex]
We can verify by plugging in a few values for x into the above equation and seeing if the corresponding calculated values concur with the one in the table
For [tex]x = - 1, y = \frac{7}{3}\cdot (\frac{1}{3})^{-1} = \frac{7}{3}\cdot 3 = 7[/tex]
You can try the other x values and see that computed and given y values concur
A company packages bottles of olive oil in cylindrical cardboard tubes completely wrapped with paper. If each tube has a diameter of 3 inches and is 11 inches tall, approximately how
many square inches of paper is needed to wrap each tube? (Use 3.14 to approximate w.)
O 78
O
104
118
160
Answer:
118
Step-by-step explanation:
We need to calculate the surface square of the cylinder. The formula for that is S=2*pi*r*(r+h). r is radius of the cylinder which is diameter/2=3/2=1.5. The formula becomes: S=2*pi*1.5(1.5+11)=37.5pi=~117.5 which is approximated to 118 since if the decimal you're approximating is 5 or higher it just increments the previous one, so here we just add 1 to 117
I think it all equals 70. but cant get what it says to get
After the expansion of the series represented by -
∑ r(r + 1) [r = 0 to r = 5] , we can say that the -
1st term of series = 0
2nd term of series = 2
3rd term of series = 6
Last term = 30
What is a Sequence?A series is the sum of a few or all elements of the sequence in which the elements are arranged according to some specific pattern.
Given in the question is a series represented by -
∑ r(r + 1) [r = 0 to r = 5]
We can determine any term of this series by replacing it with r. The series given to us however only contains six terms. So, we will write the complete series in numeral form and then determine the terms.
We have -
∑ r(r + 1) [r = 0 to r = 5]
Expanding the series, we get -
∑ r(r + 1) [r = 0 to r = 5] = (0 x 1) + (1 x 2) + (2 x 3) + (3 x 4) + (4 x 5) + (5 x 6).
∑ r(r + 1) [r = 0 to r = 5] = 0 + 2 + 6 + 12 + 20 + 30.
Hence, the numeral form of the series with elements position is -
0 + 2 + 6 + 12 + 20 + 30.
[1] [2] [3] [4] [5] [6]
Therefore, after the expansion of the series represented by -
∑ r(r + 1) [r = 0 to r = 5] , we can say that the -
1st term of series = 0
2nd term of series = 2
3rd term of series = 6
Last term = 30
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[tex] \displaystyle \rm \sum_{n = 1}^ \infty \sum_{m = 1}^{ \infty } \frac{ \Gamma(n) \Gamma(m) \Gamma(x)}{ \Gamma(n + m + x)} [/tex]
Recall the beta function definition and gamma identity,
[tex]\displaystyle \mathrm{B}(x,y) = \int_0^1 t^{x-1} (1-t)^{y-1} \, dt = \frac{\Gamma(x) \Gamma(y)}{\Gamma(x+y)}[/tex]
Consider the sum
[tex]\displaystyle S(x) = \sum_{m=1}^\infty \frac{\Gamma(m) \Gamma(x)}{\Gamma(m+x)}[/tex]
Compute it by converting the gammas to the beta integral, interchanging summation with integration, and using the sum of a geometric series.
[tex]\displaystyle S(x) = \sum_{m=1}^\infty \mathrm{B}(m,x) \\\\ ~~~~ = \sum_{m=1}^\infty \int_0^1 t^{m-1} (1-t)^{x-1} \, dt \\\\ \int_0^1 (1-t)^{x-1} \sum_{m=1}^\infty t^{m-1} \, dt \\\\ ~~~~ = \int_0^1 (1-t)^{x-2} \, dt \\\\ ~~~~ = \int_0^1 t^{x-2} \, dt \\\\ ~~~~ = \frac1{x-1} = \frac{(x-2)!}{(x-1)!} = \frac{\Gamma(x-1)}{\Gamma(x)}[/tex]
It follows that
[tex]\displaystyle S(n+x) = \sum_{m=1}^\infty \frac{\Gamma(m) \Gamma(n+x)}{\Gamma(m+n+x)} = \frac{\Gamma(n+x-1)}{\Gamma(n+x)}[/tex]
Now we compute the sum of interest. It's just a matter of introducing appropriate gamma factors to condense the double series into a single hypergeometric one.
Recall the definition of the generalized hypergeometric function,
[tex]\displaystyle {}_pF_q \left(\left.\begin{array}{c} a_1,a_2,\ldots,a_p\\b_1,b_2,\ldots,b_q\end{array}\right\vert z\right) = \sum_{n=0}^\infty \frac{(a_1)_n (a_2)_n \cdots (a_p)_n}{(b_1)_n (b_2)_2 \cdots (b_q)_n} \frac{z^n}{n!}[/tex]
where [tex](a)_n[/tex] denotes the Pochhammer symbol, defined by
[tex]\begin{cases}(0)_n = 1 \\ (a)_n = a(a+1)(a+2)\cdots(a+n-1) = \frac{\Gamma(a+n)}{\Gamma(a)}\end{cases}[/tex]
We'll be needing the following identities later.
[tex](1)_n = n! = \dfrac{\Gamma(n+1)}{\Gamma(1)}[/tex]
[tex](x)_n = \dfrac{\Gamma(n+x)}{\Gamma(x)}[/tex]
[tex](x+1)_n = \dfrac{\Gamma(n+x+1)}{\Gamma(x+1)}[/tex]
The [tex]m[/tex]-sum is
[tex]\displaystyle \sum_{m=1}^\infty \frac{\Gamma(m)}{\Gamma(n+m+x)} = \frac1{\Gamma(n+x)} \sum_{m=1}^\infty \frac{\Gamma(m)\Gamma(n+x)}{\Gamma(n+m+x)} \\\\ ~~~~~~~~ = \frac{S(n+x)}{\Gamma(n+x)} \\\\ ~~~~~~~~ = \frac{\Gamma(n+x-1)}{\Gamma(n+x)^2}[/tex]
Then the double sum reduces to
[tex]\displaystyle \sum_{n=1}^\infty \sum_{m=1}^\infty \frac{\Gamma(n)\Gamma(m)\Gamma(x)}{\Gamma(n+m+x)} = \sum_{n=1}^\infty \frac{\Gamma(n)\Gamma(x)\Gamma(n+x-1)}{\Gamma(n+x)^2}[/tex]
Rewrite the summand. We use the property [tex]\Gamma(x+1)=x\Gamma(x)[/tex] to convert to Pochhammer symbols.
[tex]\displaystyle \frac{\Gamma(n)\Gamma(x)\Gamma(n+x-1)}{\Gamma(n+x)^2} = \frac{\Gamma(n)\Gamma(x)^2\Gamma(n+x-1)}{\Gamma(n+x)^2 \Gamma(x)}[/tex]
[tex]\displaystyle . ~~~~~~~~ = \frac1{x^2} \frac{\Gamma(n)\Gamma(x+1)^2\Gamma(n+x-1)}{\Gamma(n+x)^2\Gamma(x)}[/tex]
[tex]\displaystyle . ~~~~~~~~ = \frac1{x^2} \frac{\Gamma(n) \frac{\Gamma(n+x)}{\Gamma(x)}}{\frac{\Gamma(n+x-1)^2}{\Gamma(x+1)^2}}[/tex]
[tex]\displaystyle . ~~~~~~~~ = \frac1{x^2} \frac{(n-1)! (x)_{n-1}}{\left[(1+x)_{n-1}\right]^2}[/tex]
Now in the sum, shift the index to start at 0, and introduce an additional factor of [tex]n![/tex] to get the hypergeometric form.
[tex]\displaystyle \sum_{n=1}^\infty \frac1{x^2} \frac{(n-1)! (x)_{n-1}}{\left[(1+x)_{n-1}\right]^2} = \frac1{x^2} \sum_{n=0}^\infty \frac{(n!)^2 (x)_n}{\left[(1+x)_n\right]^2} \frac1{n!} \\\\ ~~~~~~~~ = \frac1{x^2} \sum_{n=0}^\infty \frac{[(1)_n]^2 (x)_n}{\left[(1+x)_n\right]^2} \frac1{n!} \\\\ ~~~~~~~~ = \boxed{\frac1{x^2} \, {}_3F_2\left(\left.\begin{array}{c}1,1,x\\1+x,1+x\end{array}\right\vert1\right)}[/tex]
Santiago is planning to drive from City X to City Y. The scale drawing below
shows the distance between the two cities with a scale of 1 inch = 11 miles.
City X
- 1 1/2 in.
City Y
What is the actual distance between the two cities?
Answer:
16 1/2 miles
Step-by-step explanation:
If 1 inch = 11 miles and the distance between cities is 1 1/2 inches, then we can solve by multiplying [tex]1 \frac{1}{2} *11=16 \frac{1}{2}[/tex].
Hope this helps!
what’s the correct answer answer asap for brainlist
Answer:The answer would be a.
Step-by-step explanation:I hope this helps.
Evaluate: 4+8÷2× (6-3)
Answer:
12/6 but if you simplify it's 2
Step-by-step explanation:
4+8 = 12
6-3 = 3
2 x 3 = 6
12/6 = 2
Use the Corresponding Angles diagram to answer the question
Which pair of angles are same-side interior angles?
7x+5=6x I don’t get this because I have no idea what to subtract by, and I know the answer is -5 but I have no idea how to get there
Answer:
Step-by-step explanation:
7x + 5 = 6x Subtract 6x from both sides
7x - 6x +5 = 6x -6x
x + 5 = 0 Subtract 5 to both sides
x + 5 - 5 = 0 - 5
x = -5
4x+12y+4z=-16
12x-12y+8z=8
4x+12y-4z=0
x = 1, y = -1 and z = -2.
Here, we are given 3 equations-
4x+12y+4z = -16 ...(1)
12x-12y+8z = 8 ...(2)
4x+12y-4z = 0 ...(3)
Firstly, we add equations 1 and 2, we get,
4x + 12y + 4z + 12x - 12y + 8z = -16 + 8
16x + 12z = -8
4x + 3z = -2 ...(4)
Adding 2 and 3, we get,
12x - 12y + 8z + 4x + 12y - 4z = 8
16x + 4z = 8
4x + z = 2 ...(5)
Now, subtracting equation 4 from 5, we get-
4x + z - 4x - 3z = 2 + 2
-2z = 4
z = 4/-2
z = -2
Thus, 4x - 2 = 2
4x = 4
x = 4/4
x = 1
and 4(1) + 12y + 4(-2) = -16
4 + 12y -8 = -16
12y = -16 + 4
12y = -12
y = -12/12
y = -1
Thus, x = 1, y = -1 and z = -2.
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mathematics help pls lol
2.45
add the 2 numbers and divide by 2
The current population of a small city is 37000 people. Due to a loss of jobs, the population is decreasing by an average of 275 people per year. How many years (from now) will it take for the population to decrease to 35350 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable and use no commas in your equation.
The equation is:
B) Solve your equation in part [A] for x.
Answer: x=
Part A
x = number of years
275x = number of people that left the city after x years go by
37000 - 275x = number of remaining people after x years
37000 - 275x = 35350 is the final answer to part A
=======================================================
Part B
37000 - 275x = 35350
-275x = 35350 - 37000
-275x = -1650
x = -1650/(-275)
x = 6
It takes exactly 6 years to have the population reach 35350.
Please help what is a?
-3a + 10 < -11
Step-by-step explanation:
-3a + 10 < -11
-3a < -21
-a < -7
a > 7
remember, when multiplying with a negative number the inequality sign flips the direction.
What is the vertex of y=7|x-3|-4
Answer:
(3, 4)
Step-by-step explanation:
Answer:
sorry , i don't
know
Step-by-step explanation:
Point W is located at (7,3) on a coordinate plane. Point W is translated 2 units to the left
and 3 units up. What are the coordinates of the image point W?
Answer:
(5,6)
Step-by-step explanation:
subtract 7-2 and add 3+3.
Antonio made six withdrawals of $25 each from his bank account.what was the overall change in his account?
Answer: -$150
Step-by-step explanation:
withdrawal is removing funds from bank account.
withdrawals of $25 ==> -$25 change
-25*6=-$150
An urn contains five balls labelled A, B, C, D, E. You draw three balls at random, without replacement. How many different combinations of three letters can you draw? Combination means that order of draw is not important. Example: ACE and CAE are counted as the same combination, but ABD, ABE, CDE, etc are different combinations.
Using the combination formula, it is found that you can draw 10 different combinations of three letters.
The order in which the letters are drawn is not important, as stated in the problem, ACE and CAE are counted as the same combination, hence the combination formula is used instead of the permutation formula.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For this problem, three balls are taken from a urn with five balls(labeled A, B, C, D and E), hence n = 5, x = 3 and:
[tex]C_{5,3} = \frac{5!}{3!2!} = 10[/tex]
You can draw 10 different combinations of three letters.
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Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundry can Joe do with this one box? The box of detergent cost $19.99. How much is he paying for each load of laundry that he washes? The question we are answering is: How much is he paying for each load of laundry that he washes? Round to the nearest cent. 0.25, 0.26, 0.30
Answer:
a) Number of laundries he can do with this box = 78 laundries.
b) Price he paying for each load = 0.26 $
Step-by-step explanation:
ANSWER FAST
The table below shows Addison's novel collection on her bookshelf.
Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5
What is the ratio of fiction novels to all novels?
11 to 5
2:5
5 over 11
5 to 2
Answer:
5 over 11
Step-by-step explanation:
add 5+4=9 then 9+2=11 so it would be 5/11
In Addison's novel collection on her bookshelf, the ratio of fiction novels to all novels is, 5/11. So Option C is correct
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5
the ratio of fiction novels to all novels = number of fiction novels/all novels
= 5/11
Hence, the ratio is 5 over 11
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It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that exactly 3 drive to work alone
Answer: Step-by-step explanation:X= number of driver that drive to work alone the probability that at most 7 drove to work alone is equal to 1 - probability that exactly 8 drive to work alone P(x<=7)= 1 - P(x>7) = 1- P(x=8) Probability of driving to work alone = 0.77 Probability of not driving to work alone = 0.23Total number of workers = 8
Step-by-step explanation:
The required probability that exactly 3 out of 8 workers drive to work alone is 0.0165.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have to find the probability that exactly 3 of the workers drive to work alone.
Using the binomial probability formula:
[tex]P(X = k) = (^nC_k) \times p^k \times (1-p)^{(n-k)}[/tex]
where X is the number of workers who drive to work alone, k is the number of successes, n is the sample size, p is the probability of success, and (n choose k) is the binomial coefficient.
As per the question, k = 3, n = 8, p = 0.77
Substitute the given values, and we get:
[tex]P(X = 3) = (^8 C_3) \times 0.77^3 \times (1-0.77)^{(8-3)}[/tex]
= 0.0165
Therefore, the probability that exactly 3 out of 8 workers drive to work alone is 0.0165.
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the endpoints of AB are 6 and 31. find the coordinates of the point P that partitions the segment in the ratio 3:2
The coordinates of point P on the number line are 16 or 21.
How to locate the point that partitions a line segment lying on a number line
In this question we find a line segment set on a number line and whose endpoints and segment ratio are known. Then, we can determine the location of the point P by using the line segment formula:
P(x) = A(x) + k · [B(x) - A(x)]
Where k is the partition ratio.
If we know that A(x) = 6, B(x) = 31 and k = 3 / 5, then the location of the point P is:
P(x) = 6 + (3 / 5) · (31 - 6)
P(x) = 6 + (3 / 5) · 25
P(x) = 6 + 15
P(x) = 21
P(x) = 6 + (2 / 5) · (31 - 6)
P(x) = 6 + (2 / 5) · 25
P(x) = 6 + 10
P(x) = 16
The coordinates of point P on the number line are 16 or 21.
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A computer firm has a group of 50 computer consultants. These individuals visit firms in the area on or prearranged visits or are called in for emergency repairs. A call out fee is charged that covers the first hour of their visit. Beyond the first hour they charge in minimum blocks of 30 minutes. The average call out is 2 hours long. The working day is usually eight hours long but allows 2 breaks of 15 minutes each and a half hour lunch break, leaving a 7 hour day. If holidays and illness are accounted for at 25% the 7 hours per day is actually 5 ¼ hour day.
If actual work is only 500 hours billed in the week then:
a. What is the capacity utilisation of the team?
b. What is their efficiency?
The capacity utilisation of the team is 57.14%
The efficiency is 76.22%
How to calculate the values?Design capacity= ((number of workers* total hours per day)/time per customer call out)* number of working days in a week
Design capacity = (50*7)/2)*5
Design capacity= 875 jobs per week
The effective capacity = ((number of workers* actual hours per day)/time per customer call out)* number of working days in a week
Effective capacity=(50*5.25)/2)*5
Effective capacity=656 jobs per week
Efficiency rate= Actual capacity/ effective capacity
Efficiency rate=500/656
Efficiency rate=0.7622 or 76.22%
Utilization rate=Actual capacity/Design capacity
Utilization rate = 500/875
Utilization rate = 0.5714 or 57.14%
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The position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. What is the velocity of the particle, in meters per second, at t = 2.5 s?
The velocity of the particle, in meters per second is 0.78 m/s
How to determine the velocity of the particle, in meters per second?The position function is given as:
x(t) = e-(t - 3)2
Rewrite properly as
x(t) = e^-(t - 3)^2
Next, we differentiate the above function to determine the velocity function.
Using a graphing calculator, we have:
x'(t) = -2(t - 3) * e^-(t - 3)^2
At t = 2.5 s, we have:
x'(2.5) = -2(2.5 - 3) * e^-(2.5 - 3)^2
Evaluate
x'(2.5) = 0.78
Hence, the velocity of the particle, in meters per second is 0.78 m/s
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