Answer:
940
Step-by-step explanation:
Since there is a 5 in the ones spot we round the number is the tens spot up by 1: 935 --> 940
Prove that 41 is congruent to 21 (mod 3). Explain using words, symbols, as you wish
From the proof of modular congruence below, it has been shown that;
41 ≡ 21 (mod 3).
How to Solve Modular Arithmetic?We want to use the definition of modular congruence to prove that;
41 is congruent to 21 (mod 3) i.e if a ≡ b (mod m) then b ≡ a (mod m).
We are trying to prove that modular congruence mod 3 is a symmetric relation on the integers.
First, if we recall the definition of modular congruence:
For integers a, b and positive integer m,
a ≡ b (mod m) if and only if m|a–b
Suppose 41 ≡ 21 (mod 3).
Then, by definition, 3|41–21, so there is an integer k such that 41 – 21 = 3k.
Thus;
–(41 – 21) = –3k
So
21 – 41 = 3(–k)
This shows that 3|21 – 41.
Thus;
21 ≡ 41 (mod 3) and the proof is complete
Read more about Modular Arithmetic at; https://brainly.com/question/16032865
#SPJ1
At birth, one puppy weighs 15/16 pounds. A second puppy weighs 1 and 1/8 pounds. How much more did the second puppy weigh?
Answer:
3/16 pounds more.
Step-by-step explanation:
It is 1 1/8 - 15/16
= 9/8 - 15/16
= 18/16 - 15/16
= 3/16.
can someone please help me with this problem?
The product of the proper positive integer factors of $n$ can be written as $n^{(ax b)/c}$, where $x$ is the number of positive divisors $n$ has, $c$ is a positive integer, and the greatest common factor of the three integers $a$, $b$, and $c$ is $1$. What is $a b c$
The value of a + b + c based on the product formula is 8.
How to calculate the value?From the information given, the product of the proper divisor is illustrated.
Based on the information, the addition of the symbols will be:
= a + b + c
= 3 + 3 + 2
= 8
In conclusion, the correct option is 8.
Learn more about integer on:
brainly.com/question/17695139
#SPJ1
What do you do in calculus?
Answer:
In math, calculus deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two basic types of calculus are differential calculus and integral calculus.
Step-by-step explanation:
hope it helps
sorry if I'm wrong
Solve the system of equations 2x-2y=-14 and 3x-y=-1 by combining the equations.
Combining the equations, the solution to the system of equations is: x = 3, y = 10.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
2x - 2y = -14.3x - y = -1.Combining(adding) them, we have that:
5x - 3y = -15.
From the second equation:
y = 3x + 1.
Replacing in the combined equation:
5x - 3(3x + 1) = -15.
-4x = -12
x = 3.
y = 3x + 1 = 3 x 3 + 1 = 10.
The solution is:
x = 3, y = 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Pick the correct answer.
Help me please thanks so much
1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)
#1
(11)_2(1×2⁰+1×2¹)_10(1(1)+1(2))_10(1+2)_10(3)_10#b
(110)_2(0+1×2¹+1×2²)_10(2+4)_10(6)_10#c
(111)_2(1×2⁰+1×2¹+1×2²)_10(1+2+4)_10(7)_10#f
(10011)_2(1×2⁰+1×2¹+0+0+1×2⁴)_10(1+2+16)_10(19)_10#i
(10110101)_2(1×2⁰+0+1×2²+0+1×2⁴+1×2⁵+0+1×2⁷)_10(1+4+16+32+128)_10(181)_10Answer:
a) 3₁₀
b) 6₁₀
c) 7₁₀
f) 19₁₀
i) 181₁₀
Step-by-step explanation:
Binary to Decimal Conversion (Positional Notation Method)
Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number. Sum all the values obtained for each digit.Express the number as a decimal number by placing subscript 10 after it.For a binary number with 'n' digits:
The right-most digit is multiplied by 2⁰The left-most digit is multiplied by [tex]\sf 2^{n-1}[/tex]For example, to convert the binary number 111001₂ into a decimal:
[tex]\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}[/tex]
Multiply each digit by the base (2) raised to the power as indicated above and sum them:
[tex]=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)[/tex]
[tex]= 32+16+8+0+0+1[/tex]
[tex]= 57[/tex]
Finally, express as a decimal number ⇒ 111001₂ = 57₁₀
Question (a)
[tex]\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}[/tex]
Therefore, 11₂ = 3₁₀
Question (b)
[tex]\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}[/tex]
Therefore, 110₂ = 6₁₀
Question (c)
[tex]\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}[/tex]
Therefore, 111₂ = 7₁₀
Question (f)
[tex]\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}[/tex]
Therefore, 10011₂ = 19₁₀
Question (i)
[tex]\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181[/tex]
Therefore, 10110101₂ = 181₁₀
Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b are:_____.
a. independent.
b. unilateral.
c. conditional.
d. mutually exclusive.
The correct option is (d) Mutually exclusive events.
Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b are mutually exclusive events.
Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin toss, which can result in either heads or tails but not both, provide a clear illustration.
A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.
Learn more about mutually exclusive events here
https://brainly.com/question/12961938
#SPJ4
How many of the 960 dvd players were repaired in the first year
if you get the right answer you get a 20k gaming setup
(D) 200 DVD players were repaired in the first year.
What are DVD players?A DVD player is a device that plays DVDs that adhere to both the DVD-Video and DVD-Audio technical standards, which are incompatible. Some DVD players are also capable of playing audio CDs.Given:
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be repaired.
So we need to find the number of DVD players that were repaired in these 960 players.
So,
[tex]\frac{960*5}{24} \\=200[/tex]
Therefore, (D) 200 DVD players were repaired in the first year.
Know more about DVD players here:
https://brainly.com/question/3863498
#SPJ4
The question you are looking for is here:
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturer's records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
A: 40
B: 120
C: 192
D: 200
Select the correct answer. consider this absolute value function. if function f is written as a piecewise function, which piece will it include?
x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ]. This can be obtained by removing modulus and finding the value for x.
Which piece will the function include?Given that,
f(x) = [ x + 3 ] which is an absolute value function.
Therefore,
| x+3 | > 0
By removing the modulus,
x+3 > 0
x > - 3
Hence x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ].
Learn more about absolute value function here:
brainly.com/question/10538556
#SPJ4
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
The Answer is C. X+3, x > -3
for edmentum users
Step-by-step explanation:
Que tanto por ciento es 20 de 80
Answer:
Step-by-step explanation:
40 por ciento
Using the formula: A=p(1+r)t
How much money will Mario have if he puts $1000 in a savings account earning 4% annually after 10 years?
Select one:
O a. $1004
O b. $1428.24
• c. $1000
© d. $2156.01
The amount of money Mario will have if he puts $1000 in a savings account earning 4% annually after 10 years is $1,480
Compound interestA = p(1 + r)^t
p = $1000r = 4% = 0.04t = 10 yearsA = p(1 + r)^t
= 1000(1 + 0.04)^10
= 1000(1.04)^10
= 1000(1.48)
A = $1,480
Learn more about compound interest:
https://brainly.com/question/24924853
#SPJ1
Find the smallest number by which the following numbers should be multiplied to obtain a perfect cube. (a) 3087 (b) 2560
Check each number's prime factorization, then add any factors necessary to make each one a cube.
(a) 3
[tex]3087 = 3^2 \times 7^3 \implies \boxed{3}\times3087 = (3\times7)^3 \implies 9261=21^3[/tex]
(b) 25
[tex]2560 = 2^9\times5^1 \implies \boxed{5^2}\times2560 = \left(2^3\times5\right)^3 \implies 64000 = 40^3[/tex]
Latoya, Kevin, and Milan have a total of $117 in their wallets. Milan has 4 times what Latoya has. Latoya has $9 less than Kevin. How much do they have in
their wallets?
Answer:
Step-by-step explanation:
Let Kevin have x dollars. Then Latoya has x - 9 dollars and Milan has 4(x - 9) dollars.
x + (x-9) + 4(x-9) = 177
7x - 40 = 177
7x = 217
x = 31
Kevin has $31
Latoya has 31 - 9= $22
Milan has 4*24 = $96
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 1/7 + (-1)+ 2/7
B. - 15+(-25) +43
C. 120+80+(-65)
D. 40+10+(-12)
The order of the numbers which satisfies commutative property exists 1/7 + (-1)+ 2/7.
What is meant by commutative property?
The commutative property exists a math rule that states that the order in which we multiply numbers does not change the product. The commutative property uses for addition and multiplication. The property states that phrases can “commute,” or transfer locations, and the outcome will not be affected. This exists described as a + b = b + a for addition, and a × b = b × a for multiplication.
Arranging the order of the numbers the fractions
[tex]$& \frac{1}{7}+(-1)+\frac{2}{7} \\[/tex]
[tex]$=& \frac{1}{7}+\frac{2}{7}+(-1) \\[/tex]
Simplifying the equation, we get
[tex]$= \frac{1}{7}+(-1) \\[/tex]
[tex]$&=\frac{4}{7}[/tex]
Therefore, the correct answer is option A. 1/7 + (-1)+ 2/7
To learn more about commutative property refer to:
https://brainly.com/question/778086
#SPJ9
Drag the values to the correct locations to write this series using sigma notation and find the sum of the terms. Not all values will be used.
45 + [45 − 2.5] + ⋯ + [45 − 4(2.5)]
Answer:
[tex]\displaystyle \\\sum_{k=0}^4 45-2.5k=200[/tex]
Step-by-step explanation:
We start off with the term 45 and decrease by 2.5 each term, ending with four 2.5's subtracted from 45.
Therefore, our index starts at k=0 and ends at 4. The general term can be defined then as [tex]\displaystyle \\\sum_{k=0}^4 45-2.5k[/tex] and evaluating yields 200.
Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are the x-values and the y-values, write them as ordered pairs, then write them as a ratio in y/x form. In the table, which are the y-values and which are the x-values [Time(s) or Heartbeat(s)]?
The x-values are the heartbeat(s) and the y-values are the time(s)
How to determine the x and y values?The variables are given as:
Time(s) and Heartbeat(s)
As a general rule, the action that is being done is the independent variable.
The action here is the heartbeat.
So, the x-values are the heartbeat(s) and the y-values are the time(s)
A possible value of this is;
x = 100, y = 60 seconds
So, the ordered pair is (100,60)
When represented as ratio, we have;
Ratio = 60/100
Simplify
Ratio = 0.6 heartbeat per second
Read more about ordered pairs at:
https://brainly.com/question/8406931
#SPJ1
Several friends bought flowers to make table centerpieces. write the ratios of purple flowers to white flowers for each friend. bouquets of flowers purple flowers white flowers rowan 8 2 marcia 10 1 jillian 10 2 lulua 18 3 who has the smallest ratio of purple to white flowers? rowan marcia jillian lulua
The ratio for Rowan = 4:1.
The ratio for Marcia = 10:1.
The ratio for Jillian = 5:1.
The ratio for Lulua = 6:1.
The smallest ratio among these for purple to white flowers is for Rowan, that is, 4:1.
Ratios are fractions in the simplest form representing the relationship between two quantities.
The ratio of purple to white flowers for each friend can be shown as:-
Rowan:
The number of purple flowers = 8
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 8/2 = 4/1.
Thus, the ratio for Rowan = 4:1.
Marcia:
The number of purple flowers = 10
The number of white flowers = 1
Thus, the fraction of purple to white flowers = 10/1.
Thus, the ratio for Marcia = 10:1.
Jillian:
The number of purple flowers = 10
The number of white flowers = 2
Thus, the fraction of purple to white flowers = 10/2 = 5/1.
Thus, the ratio for Jillian = 5:1.
Lulua:
The number of purple flowers = 18
The number of white flowers = 3
Thus, the fraction of purple to white flowers = 18/3 = 6/1.
Thus, the ratio for Lulua = 6:1.
The smallest ratio among these for purple to white flowers is for Rowan, that is, 4:1.
Learn more about ratios at
https://brainly.com/question/3989414
#SPJ4
Answer:Its rowan
Step-by-step explanation:Mark me brainliest need award
If AH=13mm, A F=15mm, and FC=37mm, what would be the distance between A and D? Round your answer to two decimal places if necessary.
The measure of segment AD in the similar triangle is 45.07 mm
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, their corresponding angles are congruent.
Triangle FEA and triangle ABC are similar triangles by the angle angle similarity postulate, therefore:
13/AD = 15 / (15 + 37)
AD = 45.07 mm
The measure of segment AD in the similar triangle is 45.07 mm
Find out more on similar triangles at: https://brainly.com/question/2644832
#SPJ1
Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. what score marks the difference between the bottom 10% and the top 90%?
The lowest score you can earn and still be eligible for employment is 85.6925.
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
Top 5%.
At least the 100-5 = 95th percentile.
The 95th percentile is X when Z has a pvalue of 0.95. So X when Z = 1.645.
x-75 = 1.645*6.5
x = 85.692
Thus the lowest score you can earn and still be eligible for employment is 85.6925.
Learn more about Standard Deviation on:
https://brainly.com/question/475676
#SPJ4
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
.
An ant is standing at the centers of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?
The length around the circular edge of the plate is 37.68 inches
How to find the circumference of a circle?The circumference of a circle can be solved as follows:
The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .
The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.
Hence, the distance around the edge of the plate is the circumference of the plate.
Therefore,
circumference of the circular plate = 2πr
circumference of the circular plate = 2 × π × 6
circumference of the circular plate = 12π
circumference of the circular plate = 12 × 3.14
circumference of the circular plate = 37.68 inches
learn more on circle here: brainly.com/question/9330354
#SPJ1
how many bit strings of length 9 have exactly two 1'S or two 0'S( this is one question, so you should have one answer)
Answer:
72.
Step-by-step explanation:
Number of strings with exactly 2 1's
= 9C2
= 9*8/2*1
= 36.
Same for 2 0s
= 36.
Instructions: Find the missing length indicated.
400
144
X
The missing side of a right triangle x is 24 units.
How to find side of a right angle triangle?A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The side x can be found using similar triangle ratios,
Hence,
x / 400 = 144 / x
cross multiply
x × x = 400 × 144
x² = 57600
square root both sides
√x² = √57600
x = 240
Therefore, the value of x in the right triangle is 240 units.
learn more on right triangle here: brainly.com/question/14324872
#SPJ1
Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid
The height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
What is the volume of a cube?A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
Volume of cube [tex]= (side)^3 \ unit^3[/tex]
Given the height of cube is [tex]h[/tex] unit.
Volume of cube is [tex]h^3 \ unit^3[/tex]
Let the height of squared pyramid is [tex]x[/tex] unit
Volume of squared pyramid is [tex]\frac{1}{3} h^{2} \times x \ unit^3[/tex]
According to the question, we have
Volume of cube = [tex]6 \times[/tex] volume of squared pyramid
[tex]\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h[/tex]
Therefore, the height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
To learn more about squared pyramid from the given link
https://brainly.com/question/27476449
#SPJ4
Michael collects 45 trays of eggs every week . how many trays does he collect in two months?
A family arrives home at 01:10 after a journey that took 7 1/2 hours . At what time of the pervious day did bay start their journey ?
Answer:
they started their journey at 5:40
It takes the pit crew 15 seconds to change a
tire. How long is this in minutes?
Answer:
Hey there :) The answer is 0.25 minutes.
Step-by-step explanation:
1 minute = 60 seconds
So, 15 ÷ 60 = 0.25 minutes
Determine the volume of a cube with a side length of 5 1/3 in.
Answer:
151 19/27 in^3
Step-by-step explanation:
volume of cube is (side length)^3
(5 1/3)^3 = (16/3)^3 = 4096/27 = 151 19/27