Calculating the LCM of all these, one gets 2^2. 3^2 . 5^4 .7^5. Using the factor counting formula, the answer is 3.3.5.6 = {270}
Step-by-step explanation:
Note that for all n, 149^n-2^n is divisible by 149-2=147 by difference of nth powers. That is 3.7^2, so now we can clearly see that the smallest n to make the expression divisible by 3^3 is just 3^2 Similarly, we can reason that the smallest n to make the expression divisible by 7^7 is just 7^5.
Finally, for 5^5, take (mod {5}) and ( mod {25} )of each quantity (They happen to both be -1 and 2 respectively, so you only need to compute once). One knows from Fermat's theorem that the maximum possible minimum n for divisibility by 5 is 4, and other values are factors of 4. Testing all of them(just 1,2,4 using mods-not too bad), 4 is indeed the smallest value to make the expression divisible by 5, and this clearly is NOT divisible by 25. Therefore, the smallest (n) to make this expression divisible by 5^5 is $2^2 .5^4.
Using the factor counting formula, 2^2. 3^2 . 5^4 .7^5 = 3.3.5.6 = {270}
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MATH PLEASE HELP ME WITH THIS.
Answer:
#1 multiply
#2 divide
#3 subtract
#4 subtract
#5 divide
Pls help will give brainlest if it’s right
If $x$ is a positive multiple of 8 and $x^2>100$, but $x<20$, what is $x$?
Answer:
16
Step-by-step explanation:
16 is a positive multiple of 8, in which 16²=256>100 and 16<20 are true statements.
Answer:
[tex]$x=\boxed{16}$[/tex]
Step-by-step explanation:
Since $x$ is a positive multiple of 8, it must be at least 8. Since $x^2>100$ and $x$ is at least 8, the only solution is $x=16$.
To verify this, note that $x=8$ does not satisfy the inequality $x^2>100$, but $x=16$ does, so $x=16$ is the only solution that works.
Therefore, $x=\boxed{16}$.
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$8.99
Step-by-step explanation:
Wastewater is filling barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip, and each barrel holds 30 quarts of wastewater. How many days are between each pickup
If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.
What is the recycling facility picks up?Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.
Since the recycling facility picks up 96 barrels on each trip
and each barrel contains 30 quarts of effluent.
Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.
Each barrel is filled at a rate of 13 quarts per hour.
So 2880 quarts filled in hours.
We can now change 221.54 hours to days.
= 9.23 days
There are so 9 days in between pickups.
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(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?
Answer:
$18
Step-by-step explanation:
To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18
If you thanks my answers I will give brainliest and thanks back
Answer:
deal
Step-by-step explanation:
Answer: for real. I give you a thanks in your answer I will give you more please give me a Brainliest I really needed it :D
Step-by-step explanation:
Emily invested $2,000 in an account at a 3.5% interest rate. She kept the money in her account for four years. Determine, to the nearest dollar, the balance in the account after four years.
Answer:
$280
Step-by-step explanation:
$2000 * 3.5% * 4 = $8000 * 0.035 = $280
Solve for x. Round your answer to the nearest tenth if necessary. NO SCAMS OR LINKS PLEASE!!!!!! ANSWER IS NOT 14.1
Answer:
[tex]\boxed {\boxed {\sf x\approx 7.3}}[/tex]
Step-by-step explanation:
The triangle has a small square in the corner representing a 90 degree angle. This is a right triangle so we can use the Pythagorean Theorem to solve for the sides.
[tex]a^2+b^2=c^2[/tex]
In this equation, a and b are the legs and c is the hypotenuse.
x and 8.5 are the legs because they make up the right angle. 11.2 is the hypotenuse because it is opposite the right angle.
a= xb=8.5 c=11.2Substitute the values into the formula.
[tex]x^2+(8.5)^2=(11.2)^2[/tex]
Solve the exponents.
(8.5)²= 8.5*8.5= 72.25 (11.2)²= 11.2*11.2= 125.44[tex]x^2+72.25 =125.44[/tex]
Solve for x by isolating the variable. 72.25 is being added, so we subtract 72.25 from both sides because subtraction is the inverse operation of addition.
[tex]x^2+72.25-72.25 = 125.44-72.25[/tex]
[tex]x^2=125.44-72.25[/tex]
[tex]x^2=53.19[/tex]
x is being squared, so we take the square root of both sides.
[tex]\sqrt{x^2}=\sqrt {53.19}[/tex]
[tex]x=\sqrt{53.19[/tex]
[tex]x=7.29314746869[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]x \approx 7.3[/tex]
The unknown side, x, is approximately 7.3
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
On solving the provided question, we can say that - here in graph we have on solving equation [tex]x^2+ 3y^2 \\[/tex] = [tex]4+3 = 7[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here-
from graph, x= 2
y = 1
[tex]x^2+ 3y^2 \\[/tex]
[tex]4+3 = 7[/tex]
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2: Si je cours à 12 km/h, en combien de minutes est-ce que je parcours 1 km ?
Answer: cinq minutes
Step-by-step explanation: 1h est egalle à 60minutes. Alors I'll a couru 12km Dan's 60minute. La duration pour 1km sera 60÷12=5 minutes
Please help me on this
Answer:
1. a
2. d
3. none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C.
Step-by-step explanation:
BRAINLIST??
Help, what are the answers to these angles? This is due by the end of today.
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 146
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
Step-by-step explanation:
Are the following statements true or false? Justify your answers. Complete parts (a) through (c) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) In statistics, results are always reported with 100 % certainty. Choose the correct answer below A. False. In statistics, results are always reported with 100 % certainty only when discrete variables are measured. Results cannot be reported with 100 % certainty when continuous variables are measured. B. True. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. Since it is a science, results are always reported with 100 % certainty. C. True. Statistics would not be useful if they were not presented with 100 % certainty . Statistics is a form of mathematics, which means that as long as correct procedures are used, all results must be correct. D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
How to interpret the conclusion of a statistics research?Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.
Statistical data analysis is basically a procedure that is used to perform various statistical operations.
Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.
Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.
Therefore, we can say that is option D.
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The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes
Call the radius of the cylinder and sphere, r And the height of the cylinder = 2r
How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60 = pi * r^2 * 2r30 = pi * r^330/pi = r^3[30/pi]^1/3 = rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3 =(4/3) pi * 30/pi =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³To learn more about Volume in Cubic Centimeters refers to:
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Find the least common denominator for the following fractions: 4/8 and 3/14
Answer:
Least Common Denominator for the following fraction is 2
Hope this helps, have a great day!
Answer:
the answer is 56 (pls think)
Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half, complete the statements to show that △abc ~ △def by the sas similarity theorem. horizontal and vertical lines are . so, angles are right angles by definition of perpendicular lines. all right angles are . therefore, △abc ~ △def by the sas similarity theorem.
Lines running horizontally and vertically are parallel. So, angles A, B, and C are right angles by definition of perpendicular lines. All right angles are equal. Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half
Step 1: Multiply both sides of the equation by de:
a/b * de = bc/ef * de
Step 2: Simplify the left side of the equation:
ade = bcde
Step 3: Divide both sides of the equation by ad:
a/d = b/e
Step 4: Multiply both sides of the equation by be:
ab/d = be/e
Step 5: Simplify the left side of the equation:
ab = be
Step 6: Divide both sides of the equation by be:
a/b = 1/e
Step 7: Multiply both sides of the equation by ef:
a/b * ef = 1/e * ef
Step 8: Simplify the left side of the equation:
aef = ef
Step 9: Divide both sides of the equation by ef:
a/b = 1/e
Conclusion: startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half
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Answer:
perpendicular
b and e
congruent
Julie needs to buy some new pencils for school. Each pencil cost 0.39. If she has 5.00 dollars now, what is the maximum number of pencils she can purchase. There is no tax in this purchase.
Answer:
At max, Julie can buy 12 pencils. She will have 32 cents left.
Step-by-step explanation:
I did 0.39x10=3.90. Next, I did 0.30x13=5.07. I went down by one and ended up with 0.39x12=4.68.
PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)
y = −2x + 14
y = 2x + 2
Answer:
The second graph
Step-by-step explanation:
take x = 3 for instance, we can see that on the graph both lines intersect on y = 8
if we try it with our equations:
-2 * 3 + 14 = 8
2 * 3 + 2 = 8
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Find p(3,4 or 5)!!!! HELPPPPPPPP
Answer:
triangle) 1/2
Step-by-step explanation:
let me know if this is incorrect
Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)
plz help UwU
Answer:
D -25n-2
zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg
Are parallel algorithms always faster than sequential algorithms?
Answer:
Step-by-step explanation:
Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.
There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.
However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.
Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.
What is the domain of the function y=5√6−2x
The domain is all values of x that makes the expression defined.
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
What is the domain of the given function?Given the function in the question;
y = 5√(6−2x)
To find the domain, set the radicand greater than or equal zero and solve for x.
6 - 2x ≥ 0
Subtract 6 from both sides
6 - 6- 2x ≥ 0 - 6
-2x ≥ -6
Divide both sides by -2
-2x/-2 ≤ -6/-2
x ≤ -6/-2
x ≤ 3
Therefore, the domain is;
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
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The rectangular prism has a volume ar 936 cubic inches Find the missing dimension of the prism
solve for x and graph the solution on the number line below 7+x<16
Step-by-step explanation:
x<16-7x<11.....................
Use point-slope form to find the equation of the line with a slope of -3 that passes through the point (-1,0)? Express your answer in slope-intercept form.
Answer:
y = -3x - 3
Step-by-step explanation:
y = -3x + b
0 = -3(-1) + b
0 = 3 + b
-3 = b
y = -3x - 3
How do you write 5.3 * 104 in standard form?
You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months
The number of ants in 6 months will be 88 ants.
How to calculate the value?The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this situation, in an ant farm with 22 ants and the population of ants in your farm will double every 3 months.
The number of ants in 6 months will be:
= 22 × (6/3)²
= 22 × 2²
= 88 ants
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Complete question
You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months. What is the number of ants in 6 months.
write the ratio of 14 and 18 in its lowest terms
Answer:
the correct answer is 7 and 9
Answer:
7 and 9
Step-by-step explanation:
14 ÷ 2 and 18÷ 2
= 7 and 9
Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?
Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.
If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.
Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.
Rounded down, Zasha can buy an additional 11 packages of gum.
Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.
Step-by-step explanation: