Recent questions tagged problem-solver

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Tourists returning home were interviewed about which countries they had visited on their trip abroad. Of the 270tourists interviewed, all of them had visited at least one...
100
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(a) Develop a mathematical model for the mixing process. Let \( Q \) represent the amount of dye in kilograms in the mixture.Answer:\[\frac{d Q}{d t}=0.5 \mathrm{r}-((10+...
116
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5. [-/3 Points] V = DETAILS The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical potential i...
83
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A cellular phone company monitors monthly phone usage. The following datarepresent the monthly phone use in minutes of one particular customer for thepast 20 months. Use ...
157
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A centrifugal fan has to deliver 5.0m^3/s of air when running at 1000 revs/min. the diameter of the impeller at inlet is 0.6m and at outlet is 0.8m. it may be assumed tha...
93
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PharmaPlus operates a chain of 30 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 85 full-time equi...
170
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A sphere of radius \( a \) has its centre at the origin. The charge per unit area on the sphere is given by \( \sigma=x^{2}+2 y^{2} \). Use surface integration to find th...
558
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how many four-digit numbers contain the digit 5 or 7 (or both) theorem
780
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How many times greater is the value of the digit 5 in 583,607 than the value of the digit 5 in 362,501?
578
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How many \(n\)-digit natural numbers are there that do not contain the digits \(0,1,2\), but contain the digits \(3,4,5\) ?
301
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Eva, Per, and Anna randomly select different nine-digit integers made of digits \(1,2, \ldots, 9\) and check if they are divisible by 11 . Anna claims that the probabilit...
413
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Define the last two digits of the number\[2^5+2^{5^2}+2^{5^3}+\cdots+2^{5^{1991}}\]when this number is written in a decimal system.
410
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Define the last two digits of the number\[2^5+2^{5^2}+2^{5^3}+\cdots+2^{5^{1991}}\]when this number is written in a decimal system.
136
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Is \(4 \sqrt{4-2 \sqrt{3}}+\sqrt{97-56 \sqrt{3}}\) an integer?
797
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A 4 digit number when squared, the last 4 digits of the square are same as that of the original number. Find the sum of digits of this number.
605
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What 4-digit number keeps the same last 4 digits when it is squared?
513
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A five digit number is formed by the digits \(1,2,3,4,5\) without repetition. Find the probability that the number formed is divisible by 4 .
535
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If 4-digits numbers greater than 5000 are randomly formed from the digits \(0,1,3,5\) and 7 what is the probability of forming a number divisible by 5 when,(i) the digits...
726
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A class consists of 15 boys of whom 5 are prefects. How many committees of 8 can be formed if each consists of (a) exactly 2 prefects?(b) at least 2 prefects?
824
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How many numbers greater than 1000 can be formed with the digits \(3,4,6,8,9\) if a digit cannot occur more than once in a number?
950
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How many of the six integers 1 through 6 are divisors of the four-digit number 1452?
397
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What is the nearest integer to \((5+2 \sqrt{7})^{4}\) ?
309
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A number is doubled, then decreased by \(13.7\). The result is greater than \(125.28\). What is the smallest integer that satisfies this condition?
463
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What is the \(1000^{\text {th }}\) positive integer with an odd number of digits?
1.2k
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How many times does the digit 6 appear in the list of all integers from 1 to 100?
750
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Given the four digits \(2,4,6\), and 7 , how many different positive two-digit integers can be formed using these digits if a digit can be repeated in an integer?
222
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Solve for \(x\) in \(\frac{3 x-2}{2}=x+1\)
461
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If a number cannot be immediately repeated, how many different three number combinations are possible for a combination lock with numbers \(0,1, \ldots, 29\).
912
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Half of a certain number is 3 more than the number.
236
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assume the number is x when finding the final number, how to work through the problem.
520
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The first three terms of a sequence are $p+1 ; 2 p+2 ; 4 p$. Calculate the value of $\mathrm{p}$ and the first three terms of the sequence.
770
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The number $2^{-100}$ is written as a decimal. What is the sum of the first 30 digits after the decimal point?
2.2k
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How many three digit numbers are there whose first digit equals the sum of the second and third digits?
2.8k
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Three four-digit numbers are written on cards. Cards are in position as is shown in the image. The sum of those three numbers is $10,126 .$ Which digits are covered?
1.3k
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How many three-digit numbers have the first digit equal to the sum of the other two digits?
2.0k
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How many two digit numbers contain either a 5 or a 6 (or both)?
809
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how many whole numbers less than 500 have seven as the sum of their digits?
533
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when twice a number is decreased by 8, the result is the number increased by 7. find the number?
1.4k
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five times the sum of a number and eight is twenty-five. find the number.
328
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square root six over square root 7 multiplied by square root 14 over square root 3.
757
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the sum of two times a number and eight is equal to three times the difference between the number and four. what's the number?
713
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what number minus one-half is equal to negative one-half ?
1.0k
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the sum of 2/3 and four times a number is equal to 5/6 subtracted from five times the number. find the number.
369
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when 4 is added to 5 times a number,the number increases by 50. find the number.
448
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16 more than a number is 20 more than twice the number.
601
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three less than twice what number is -7?
784
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when the square of an integer is added to ten times the integer, the sum is zero. what is the integer?
395
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if 4 is added to the square of a composite integer, the result is 14 less than 9 times that integer. find the integer.
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