Answer:
Evan could be thinking of 200,000.
Step-by-step explanation:
The digit 2 in 328,907 has values 20,000 so in Evan's number it has the values 200,000.
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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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
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
The time Emma should take for the run must be less than 15 minutes to bear her previous record.
What is referred as the inequality?The expression 5x - 4 > 2x + 3 resembles an equation, but the equals sign has been replaced through an arrowhead. It's an example of inequity. This means that the left part, 5x - 4, is larger than the right part, 2x + 3. We'll be looking for x values where the inequality holds true.Emma's previous record was 1 hour and 10 minutes. This is equivalent to
60+10 minutes equals 70 minutes.
She already has run 55 minutes;
So, let us consider the remaining time, x, added to 55, must be less than 70 to overcome her previous time:
x + 55 < 70
The inequality is obtained.
Subtract 55 from each side:
x + 55-5 < 70-55
x < 15
Therefore, the remaining time of the run by Emma must be less than 15 minutes to beat her previous record.
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Jenny traveled to Louisville at 68 miles per hour. On the way back she took the scenic route and drove 56 miles per hour. The way back was 17 miles longer and took one hour longer to drive than the way to Louisville.
a) How many hours did it take to drive to Louisville
b) How long is the scenic route from Louisville.
The hours did it take to drive to Louisville-3.25 hours
The long is the scenic route from Louisville. 237miles
Jenny traveled to Louisville at 68 miles per hour
Let d is the distance travelled to Louisville and t is the time taken.
68= d/t
On the way back she took the scenic route and drove 56 miles per hour.
distance of way back= d+ 17
time taken=t+1
56=(d+17)/(t+1)
on solving both the equations
t=3.25 hours
d=221miles
scenic route from Louisville is at d+17= 237miles
In everyday use and in kinematics, the velocity (generally called v) of an object is the significance of the trade of its role through the years or the significance of the alternate of its position in step with unit of time; it's miles as a result a scalar quantity.
[1] The average velocity of an item in an interval of time is the gap travelled by using the object divided by using the duration of the interval
[2] the on the spot pace is the restrict of the average velocity as the period of the time c programming language procedures zero. speed isn't similar to pace.
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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!
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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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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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.
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.
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:
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
The sales tax in Minnesota is 7%. How much tax would there be on a chair that costs $145.34?
Answer:
$10.17
Step-by-step explanation:
145.34×7%= $10.17 in tax
Which brings total cost to $155.51
When a person is driving, their eyes see a fallen tree in the road. This sends a message to the brain, which then sends electrical signals to their motor neurons, but their muscles don't react. Why did this happen?
*
3 points
1.Their motor neurons are damaged, so their muscles don't react/move causing the person to hit the tree.
2.Their sensory neurons are damaged, so their muscles don't react/move causing the person to hit the tree.
3.Their eyes are damaged, so their muscles don't react/move causing the person to hit the tree.
4.Their muscles are damaged, so their muscles don't react/move causing the person to hit the tree.
10 POINTS AND BRAINLIEST
Answer:
1. their motor neurons are damaged,so their muscles don't react/move causing the person to hit the tree
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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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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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:
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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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:
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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Can sides of a triangle have the lengths of 5 mm., 10 mm., and 15 mm.? *
OYes
O No
No, The sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to Pythagorean theorem.
What is the Pythagorean theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
a right triangle needs to follow the Pythagorean theorem, that is,
a2 + b2 = c2
where c is the length of the hypotenuse and a and b are the lengths of the other sides of the right triangle. We can check to see if this property holds for the given triangle. Since
5² + 10² = 15²
25 + 100 = 225
the Pythagorean theorem does not hold for the given triangle, meaning that it can not be a right triangle.
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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.
Solve for x.
14.25=x−19.15
Answer:
33.4 is x.
Step-by-step explanation:
Hope this helps!
geometry -someone help me do this thx
The coordinate of point P is (7/2, -13)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as shown below:
M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2}
Given the coordinate points A(-4, 2) and B(3, -6) divided in the ratio 2:5, then;
M(x, y) = {(2(-4)+5(3))/2, (2(2)+5(-6))/2}
M(x, y) = {-8+15)/2, (4-30)/2}
M(x, y) = {7/2, (-26)/2}
M(x, y) = (7/2, -13)
Hence the coordinate of point P is (7/2, -13)
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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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what’s the correct answer answer asap for brainlist
Answer:The answer would be a.
Step-by-step explanation:I hope this helps.
including tax, allie pays $8652.60 for a used car, if the price before tax was $8280, what is the tax rate where allie lives
Answer:
4.49% (rounded to 2 decimal places)
Step-by-step explanation:
Let the tax rate be r%
The tax paid on car = (Final Sale Price) - (Before Tax Price)
= 8652.60 - 8280 = $372
Tax rate as a decimal = Tax/(Before Tax Price)
= 372/8652.60 ≈ 0.0449275 (rounded to 7 decimal places)
To find tax rate as percentage multiply the above by 100 to get tax rate as
0.0449 x 100 ≈ 4.49275% ≈ 4.49% (rounded to 2 decimal places)
Use the Corresponding Angles diagram to answer the question
Which pair of angles are same-side interior angles?
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit. What is the volume of the following sphere? Round your answer to the nearest cubic meter.
Option D) is the correct option. That is the volume of the sphere is
3054 mm³.
The formula for the volume of the sphere is given as :
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
where, r = radius of the sphere
V = volume of the sphere
According to the question we have been given that
radius of the sphere, r = 9mm
Putting the required value in the above formula we get
[tex]V = \frac{4}{3} \pi 9^{3} \\ = \frac{4}{3} \ (\frac{22}{7} ) (729) \\[/tex]
V = 3054.85 mm³ ≈ 3054 mm³
Hence the volume of the sphere is 3054 mm³. That is option D) is correct.
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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]