Answer: (-2, -2)
Step-by-step explanation:
When you approach these types of questions, first look for a pattern. Both the x and y value are divided by 2.5 in the image, so do the same with point t. The image would be -5/2.5, -5,2.5 or -2, -2
En el videojuego "City Sweet" hay una ciudad sitiada en la que hay víveres para 2000 personas durante 15 días, un grupo de 500 habitantes decide rendirse. ¿Cuántos días podrán resistir los demás, si los que se rinden no se llevan víveres?
Answer:
20 days.
Step-by-step explanation:
In this case we must make an inverse proportionality rule, it is inverse because the fewer people there are, the more days must survive. In other words, we know that 2000 people can resist for 15 days, now, if there are no longer 2000 people, but 500 less, that is, 1500 (2000 - 500) how many days can they resist.
people days
2000 15
1500 x
x = 2000 * 15/1500
x = 20
That is, they could last 20 days.
In space, how many planes can be perpendicular to a given line at a given point on that line in space?
A. 1
B.0
C. 3
D. infinitely many
In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.
The correct answer is Option D.
The key concept here is that a plane is defined by having at least three non-collinear points.
When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.
Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.
Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.
The correct answer is Option D.
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onetta goes to the food court to get a salad and sandwich for lunch. the daily deli has 4 varieties of sandwiches and 6 salads. better bites has 3 varieties of sandwiches and 7 salads. the lunch spot has 5 varieties of sandwiches and 4 salads. determine the number of ways onetta can select a sandwich and a salad.
The number of ways onetta can select a sandwich and a salad is 65.
When Onetta wants to buy a sandwich and a salad from 4 varieties of sandwiches and 6 salads of Daily Deli or 3 varieties of sandwiches and 7 salads of Better Bites or 5 varieties of sandwiches and 4 salads from Lunch Spot, she has 65 ways.
Therefore, the answer is 65.
Choosing a sandwich and a salad is simultaneous activity, so we apply product rule.
Number of ways a sandwich and a salad can be selected from Daily Deli = 4C1×6C1
Number of ways a sandwich and a salad can be selected from Daily Deli = 3C1×7C1
Number of ways a sandwich and a salad can be selected from Lunch Spot = 5C1×4C1
She can go to Daily Deli or Better Bites or Lunch Spot, but not simultaneously, so we apply the addition rule.
Total number of ways = 4C1×6C1 + 3C1×7C1 + 5C1×4C1
= 4×6 + 3×7 + 5×4
= 65
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Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest tenths
place.
The volume of the cone is approximately 37.7 cubic units
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of a cone, we use the formula:
V = (1/3) * π * r² * h
where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3) * 3.14 * 3² * 4 ≈ 37.7
Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).
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In the rectangular prism above, l = 6 feet, w = 3 feet, and h = 3 feet. What is the volume of the rectangular prism?
Answer:
Step-by-step explanation:
volume = whl
volume = 6x3x3
volume = 54 feet cubed
Answer:
volume= \(54ft ^{2}\)
Step-by-step explanation:
volume = length x height x width
volume = 3 x 3 x 6
volume = 54
untis are \(ft^{2}\)
A man has a combination of $1 and $20 bills in his pocket. If the number of $1 bills is one less than 6times the number of $20 bills and he has $51, determine the number of each bill he has.Express the situation as a system of equations. Assume x as number of $1 bills and y as number of$20 bills.x +y = 51y-
ANSWER:
\(\begin{gathered} 1x+20y=51 \\ x=6y-1 \end{gathered}\)STEP-BY-STEP EXPLANATION:
We can propose two equations, one regarding the total value of money and the other regarding the total number of bills.
Therefore, it would be:
\(\begin{gathered} 1x+20y=51 \\ x=6y-1 \end{gathered}\)Graph y=−47x+1. Use the line tool and select two points on the line.
Answer:
Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you
If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?
HELP THIS IS DUE TM MORNING
guys i need ypur help pls help me
Answer:
D theBjquququaauauauaua0
the alvin secretarial service procures temporary office personnel for major corporations. they have found that 70% of their invoices are paid within ten working days. a random sample of 15 invoices is checked. what is the probability that fewer than 11 of the invoices will be paid within ten working days?
The probability that fewer than 11 of the invoices will be paid within ten working days is 0.9702.
This problem can be solved using the binomial distribution formula, which is:
P(x) = (n choose x) * p^x * (1-p)^(n-x)
Where:
P(x) = probability of x successes
n = number of trials
x = number of successes
p = probability of success in one trial
In this case, n = 15, x < 11, and p = 0.7 (since 70% of invoices are paid within ten working days). We need to find the probability of getting fewer than 11 invoices paid within ten working days, which is the sum of probabilities for x=0,1,2,...,10. Thus, we can use the cumulative distribution function:
P(X < 11) = Σ P(x) from x=0 to 10
Using a calculator or a probability table, we can find each individual probability and add them up. Alternatively, we can use the complement rule and subtract the probability of getting 11 or more invoices paid within ten working days from 1:
P(X < 11) = 1 - P(X ≥ 11)
To calculate P(X ≥ 11), we can use the same formula but with x=11,12,13,14,15:
P(X ≥ 11) = Σ P(x) from x=11 to 15
Again, we can use a calculator or a table to find each probability and add them up. Therefore:
P(X < 11) = 1 - P(X ≥ 11)
= 1 - [P(11) + P(12) + P(13) + P(14) + P(15)]
≈ 0.9702
Therefore, the probability that fewer than 11 of the invoices will be paid within ten working days is 0.9702.
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Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2
Answer:
565.5 in²
Step-by-step explanation:
Lateral area of a cone is represented by,
Lateral surface area = πrl
Here 'r' = Radius of the circular base
l = lateral height of the cone
By this formula,
Lateral area = π(12)(15)
= 565.49
≈ 565.5 square inch
Therefore, 565.5 in² is the answer.
What is the minimum number of different résumé formats that an individual should have prepared? a. 1 b. 2 c. 3 d. 4 please select the best answer from the choices provided a b c d
(B) 2 separate resume formats should be the absolute minimum number that someone should have created.
What is a résumé?A résumé, also known as a curriculum vitae (CV), is a written statement that a person uses to describe their educational history, professional experience, and accomplishments.
Although there are many uses for resumes, they are most frequently employed to find new jobs.
A standard résumé includes a "summary" of relevant educational background and work history.
So, a condensed format should be used for the first.
One page should be plenty for a good resume.
However, a two-page format might be employed when things are crammed onto one page.
For extra information about yourself, utilize a two-page format.
Typically, we submit the streamlined version before our interview.
In order to give the interviewer access to extra material, we might demonstrate our extended format during the interview.
Therefore, (B) 2 separate resume formats should be the absolute minimum number that someone should have created.
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Correct question:
What is the minimum number of different résumé formats that an individual should have prepared?
a. 1
b. 2
c. 3
d. 4
what is the area of a polygone with vertices (-3,4) (2,4) (4,2) (2,-3) and (-3,-3)
By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.
How to determine the area of a irregular polygon
In this problem we have to determine the area of a irregular polygon, whose calculation is defined as a sum of the areas of triangles and rectangles. To determine the combination of squares and triangles, we need first to plot the vertices and construct the figure on a Cartesian plane.
The area of the irregular figure is:
A = (5) · (7) + 0.5 · 2² + 0.5 · (2) · (5)
A = 35 + 2 + 5
A = 42
By summing the areas of minor rectangles and triangles, the area of the irregular polygon whose vertices are (- 3, 4), (2, 4), (4, 2), (2, - 3) and (- 3, - 3) is equal to 42 square units.
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if k is a constant what is the value of k such that the polynomial k^2x^3-8kx 16 is divisible by x-1
If k is a constant and the polynomial k^2x^3-8kx+16 is divisible by x-1, then k=4.
To determine the value of k such that the polynomial k^2x^3-8kx+16 is divisible by x-1, we can use polynomial long division or synthetic division. Since the divisor is x-1, we can use the factor theorem to determine if x-1 is a factor of the polynomial by plugging in 1 for x.
If x=1, then the polynomial becomes k^2(1)^3-8k(1)+16, which simplifies to k^2-8k+16. To be divisible by x-1, the remainder should be zero. Thus, we need to solve the equation k^2-8k+16=0 for k.
Using the quadratic formula, we get k=(8±√(8^2-4(1)(16)))/2(1), which simplifies to k=4. Therefore, the value of k that makes the polynomial k^2x^3-8kx+16 divisible by x-1 is k=4.
In conclusion, if k is a constant and the polynomial k^2x^3-8kx+16 is divisible by x-1, then k=4. This solution is obtained by setting the remainder to zero when x-1 is used as a factor and solving for k using the quadratic formula.
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Find the value by evaluating the function. Do not include spaces in your answer.
Answer:
Solution is 34
Step-by-step explanation:
to find f(8) you plug in 8 for x in the equation
f(x)=4(8)+2=34
hope this helps.
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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PLEASE TELL ME HOW TO GRAPH THIS! (if u send a photo draw over my photo as it is easier) please answer asap!
Step-by-step explanation:
You will get the x and y interceptions by substituting. To make it easier, put x=0 , 3, -3 and solve the equation.
Hope this helps you.
During the course of one day, the price of a stock fluctuated between a high of $3 above the previous day's closing price and low of $2 below the previous day's closing price. What was the difference between the high and low prices for that day? Write an expression to represent this situation and then type your answer. *
10 points
Answer: difference= (P + $3) - (P - $2) ;
Difference = $5
Step-by-step explanation:
Given that :
Price fluctuated at:
High = $3 above previous day's closing price
Low = $2 below previous day's closing price
Difference between the high and low prices for the day:
Let previous day's closing price = p
High = P + $3
Low = P - $2
Hence, expression for the difference (d) between high and low prices equals ;
d = High - Low
d = (P + $3) - (P - $2)
Hence,
d = (P + $3) - (P - $2)
d = P + $3 - P + $2
d = $5
Evaluate 5x-2w+t
Help needed!!
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
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Simplify:
2341 base 5- 3124 base 5 + 2142 base 5
Answer:
o sry I don't no iamm really sry for that
A bus covers 270 km distance in 6hrs i) Find the speed of the bus in the km/per hr ii) how many kilometer does it travel in 9hrs at the same speed? (Unitary method)
Answer:
Distance=Speed×Time
When speed is 40 kmph
Distance traveled by car =40×9
=360 km
When speed is 60 kmph
Time taken to complete the journey =
60
360
=6 hours
Answer:
270 ÷ 6 = 45
45 x 6 = 270
45 x 9 = 405
The answer is 405
Hope it helped❤️
convert million gallons per day to cubic feet per second
The flow rate of 5 MGD is equivalent to 7.73615 cfs
To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.
Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:
5 MGD x 1.54723 cfs/MGD = 7.73615 cfs
So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.
It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.
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true or false
sin 30°=√3/2 and cos 30°=1/2
Answer:
false
Step-by-step explanation:
because it is vice versa
sin 30=1/2
cos 30=√3/2
I just have 2 more.
You are charged $279 on your credit card for a hotel stay, you call to complain about the unexpectedly high charge, but are told there are a total of 24% taxes for hotel rooms where you stayed. What was the advertised price of the room before taxes?
Write an equation for a line of fit for the data shown in the scatter plot. Use the ordered pairs (0, 1) and (6, 10) to determine the equation. Write the equation in y=mx+b form.
This equation can be used to predict the value of y for any given value of x that falls within the Range of the data.
Equation for a line of fit for the given data, we need to first determine the slope and y-intercept of the line. We can use the two ordered pairs (0, 1) and (6, 10) to do this.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values from the given points, we get:
m = (10 - 1) / (6 - 0) = 1.5
So the slope of the line is 1.5.
Next, we can use the point-slope form of a linear equation to write the equation of the line passing through the point (0, 1) with slope 1.5:
y - y1 = m(x - x1)
Substituting the values of the point (0, 1) and the slope m = 1.5, we get:
y - 1 = 1.5(x - 0)
Simplifying and rearranging, we get:
y = 1.5x + 1
So the equation of the line of fit in y = mx + b form is:
y = 1.5x + 1
This equation can be used to predict the value of y for any given value of x that falls within the range of the data.
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The number of buses arriving at a bus stop in an mm minute interval is a Poisson random variable with average rate 1/101/10 per minute. What is the probability that you observe exactly one bus arrive while standing at the bus stop for 2020 minutes?
The probability of observing exactly one bus arrive while standing at the bus stop for 2020 minutes is extremely small, approximately 2.75999e-88.
To solve this problem, we can use the Poisson probability formula. Given that the average rate of buses arriving at the bus stop is 1/10 per minute, we can calculate the probability of observing exactly one bus arrive during a 2020-minute interval.
The Poisson probability formula is:
P(X = k) = (e^(-λ) * λ^k) / k!
Where:
P(X = k) is the probability of observing exactly k events,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate of events per interval,
k is the number of events observed,
and k! is the factorial of k.
In this case, we want to find P(X = 1) for an interval of 2020 minutes and an average rate of 1/10 per minute.
λ = average rate * interval = (1/10) * 2020 = 202
Plugging these values into the Poisson probability formula:
P(X = 1) = (e^(-202) * 202^1) / 1!
Simplifying:
P(X = 1) = e^(-202) * 202
Calculating the result:
P(X = 1) ≈ 2.75999e-88
Therefore, the probability of observing exactly one bus arrive while standing at the bus stop for 2020 minutes is extremely small, approximately 2.75999e-88. This indicates that it is highly unlikely to see only one bus arrive during such a long interval, given the average rate of 1/10 buses per minute.
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Last Saturday, Juan went cross-country skiing in the morning. In the afternoon, he played squash. Cross country skiers expend 50 kJ of energy per min. Squash players burn 42 kJ per min. In total, Juan exercised for 100 min. He used 4850 kJ in energy. How much time did he spend doing each activity?
Juan spent around 81.25 minutes cross-country skiing and approximately 18.75 minutes playing squash.
Let's assume Juan spent x minutes cross-country skiing and (100 - x) minutes playing squash.
The energy expended during cross-country skiing can be calculated by multiplying the energy per minute (50 kJ) by the time spent skiing (x minutes).
Energy expended during cross-country skiing = 50 kJ/min * x min = 50x kJ
Similarly, the energy expended during playing squash can be calculated by multiplying the energy per minute (42 kJ) by the time spent playing squash ((100 - x) minutes).
Energy expended during playing squash = 42 kJ/min * (100 - x) min = 4200 - 42x kJ
The total energy expended by Juan during both activities is given as 4850 kJ.
Total energy expended = Energy during skiing + Energy during squash
4850 = 50x + (4200 - 42x)
Simplifying the equation:
4850 = 50x + 4200 - 42x
4850 - 4200 = 8x
650 = 8x
x = 81.25
Juan spent approximately 81.25 minutes cross-country skiing and (100 - 81.25) ≈ 18.75 minutes playing squash.
Therefore, Juan spent around 81.25 minutes cross-country skiing and approximately 18.75 minutes playing squash.
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the immigration act of 1965 shared a common goal with which of the following other federal government policies at the time?
Answer:
Step-by-step explanation:
Write an expression for the nth term of the sequence. 1+ 1/2,1+3/4 , 1+7/8, 1+15/16, 1+31/32
The expression for the nth term of the provided sequence can be expressed as 1 + (2ⁿ - 1) / 2ⁿ where n is the term number starting from 1
how to determine the nth term?The given sequence seems to follow a pattern where the numerator of each fraction doubles and subtracts 1 from the result. Let's analyze the pattern further:
1 + 1/2 = 1 + (2¹ - 1)/2¹ = 1 + (2 - 1)/2 = 1 + 1/2
1 + 3/4 = 1 + (2² - 1)/2² = 1 + (4 - 1)/4 = 1 + 3/4
1 + 7/8 = 1 + (2³ - 1)/2³ = 1 + (8 - 1)/8 = 1 + 7/8
1 + 15/16 = 1 + (2⁴ - 1)/2⁴ = 1 + (16 - 1)/16 = 1 + 15/16
1 + 31/32 = 1 + (2⁵ - 1)/2⁵ = 1 + (32 - 1)/32 = 1 + 31/32
We observe that the numerator follows a pattern where it is equal to 2 raised to the power of the term number minus 1. The denominator remains constant at 2 raised to the power of the term number. Therefore, the general term of the sequence can be expressed as:
1 + (2ⁿ - 1)/2ⁿwhere n represents the term number in the sequence.
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