Answers
First we can calculate how many seconds there are in an hour:
Since 1 hour has 60 minutes and each minute has 60 seconds.
Then 1 hour = 60 minutes * 60 seconds/1minute = 3,600 seconds.
Now we have to multiply x 40 to calculate how many seconds there are in 40 hours.
In a 40-hour work week = 40 hours * 3,600 seconds/1hour = 144,000 seconds
Answer : 144,000 seconds there are in a 40-hour work week
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
The correct formula to calculate the number of seconds in a 40-hour work week is 40 hours * 60 minutes/hour * 60 seconds/minute (option a). This method accurately converts hours to minutes and then minutes to seconds.
The correct formula for calculating the number of seconds in a 40-hour work week is as follows:
a. 40 hours * 60 minutes/hour * 60 seconds/minute
Here's the breakdown:
1. Start with the number of hours, which is 40 hours.
2. Convert hours to minutes using the conversion factor of 60 minutes per hour.
3. Convert minutes to seconds using the conversion factor of 60 seconds per minute.
By multiplying these three factors together, you obtain the total number of seconds in a 40-hour work week.
The other options (b, c, d) do not correctly set up the conversion factors and units, leading to incorrect results.
So, the correct answer is (a), as it correctly converts 40 hours into seconds using the appropriate conversion factors.
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Related Questions
402 ÷ 19
≈ 400 ÷ 20
= 400 ÷ 10
÷ 2
=____÷ 2
Answers
Answer: 40
Step by step explanation
The _______ is asking what 400 ÷ 10 is
400 ÷ 10 = 40
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
Factor x^2 + 25 in the complex numbers.
A) (x + 5)(x - 5)
B) (x + 5)(x + 5)
C) (x + 5i)(x - 5i)
D) (x + 5i)(x + 5i)
Answers
[tex]x^2 + 25=\\\\x^2-(-25)=\\\\(x-\sqrt{-25})(x+\sqrt{-25})=\\\\(x-5i)(x+5i)[/tex]
How many four - digit numbers can be made from the numerals 7,6,5, and 3
4
12
24
Answers
There can be 24 unique four-digit numbers formed from the numerals 7, 6, 5, and 3, calculated by the factorial of 4 (4!).
The student asks how many four-digit numbers can be made from the numerals 7, 6, 5, and 3. These numbers can be arranged in a systematic way, and the total number of combinations can be calculated using permutations. The formula to calculate permutations without repetition is n! (n-factorial), where 'n' is the number of numerals to arrange.
In this case, we have 4 numerals, so the calculation would be 4! This equals to 4 × 3 × 2 × 1 = 24. Thus, there are 24 unique combinations when we arrange the numerals 7, 6, 5, and 3 into four-digit numbers without any repetitions.
Which postulate or theorem proves that △PNQ and △QRP are congruent?
SAS Congruence Postulate SSS Congruence Postulate HL Congruence Theorem ASA Congruence Postulate
Answers
Answer:
SSS Congruence Postulate
Step-by-step explanation:
we know that
The SSS Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
In this problem
PN≅QR
NQ≅RP
PQ≅QP -----> is the same side
so
Three sides of triangle PNQ are congruent with three sides of triangle QRP
therefore
△PNQ and △QRP are congruent by SSS Congruence Postulate
SSS Congruence Postulate or theorem proves that △PNQ and △QRP are congruent
Explanation:According to the dictionary, congruent (of figures) is identical in form; coinciding exactly when superimposed. Two figures or objects are congruent if they have the same shape and size.
According to the picture attached, the answer is SSS Congruence Postulate Because I have three pairs of congruent sides such as
PR = NQ is one pair, QR = NP is another pair, then PQ = PQ is the third pair
SSS Congruence Postulate or theorem proves that △PNQ and △QRP are congruent
Which postulate or theorem proves that △PNQ and △QRP are congruent?
a. SAS Congruence Postulate b. SSS Congruence Postulate c. HL Congruence Theorem d. ASA Congruence Postulate .
The other example can be seen in the second attachment of picture. The question is still the same: Determine which postulate or theorem can be used to prove that ABC = DCB!
Then AC = DB
AB = DC
BC = BC, This side is equal to itself
Therefore the three sides of one triangle equal to 3 sides of the other. It means that the triangles are congruent. Therefore the answer is SSS
Hope it helps you to learn more about triangle.
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A company did a quality check on all the packs of nuts it manufactured. Each pack of nuts is targeted to weigh 18.25 oz. A pack must weigh within 0.36 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x.
|x − 18.25| > 0.36; x < 17.89 or x > 18.61 |x − 0.36| + 18.25 > 0; x < 17.89 or x > 18.61 |x − 18.25| > 0.36; x < 18.25 or x > 18.61 |x − 0.36| + 18.25 > 0; x < 18.25 or x > 18.61Answers
Answer:
[tex]x < 17.89[/tex] or [tex]x > 18.61[/tex] , since [tex]\left | x-18.25 \right |>0.36[/tex]
Step-by-step explanation:
According to the question the weight is rejected if it is more than 0.36 oz, the weight should not be beyond 0.36 oz that is from the target weight of 18.25.
We can say that, the difference between the actual weight and the target weight is greater than 0.36 oz.
Lets say the actual weight is 'x'. So,
[tex]x-18.25>0.36[/tex]
But there can be times when the actual weight 'x' could be less than 0.36, So the order will be changed:
[tex]18.25-x>0.36[/tex]
The absolute value will sum up these two into a single inequality:
[tex]|x-18.25|>0.36[/tex]
Simplifying the inequalities, we get:
[tex]x-18.25>0.36[/tex]
[tex]x>18.61[/tex] (we have added 18.25 on both sides)
[tex]18.25-x>0.36[/tex]
Subtracting 18.25 from both the sides we get:
[tex]-x>-17.89[/tex]
After sign change it is:
[tex]x<17.89[/tex]
So we can see that only [tex]x < 17.89[/tex] or [tex]x>18.61[/tex] since [tex]\left | x-18.25 \right |>0.36[/tex] is the one that represents the scenario given above.
a football team lost 3 yards on the first play and 6 yards on the second play how many total yards did they lose
Answers
All you have to do is combine the number of yards that they lost on the first play. The total yards lost is 9 yards.
The answer = 9 yardsWhich is the best estimate for the average rate of change for the quadratic function graph on the interval 4 ≤ x ≤ 8?
A)
1
B)
2
C)
3
D)
4
Answers
Answer: A:1
Step-by-step explanation:
Determine which statements are true about the extrema of the graphed to fourth degree Polynomial. Select all that apply.
Answers
Answer:
Refer answer below
Step-by-step explanation:
Given is a graph in the interval (-infinity, infinity).
From the graph we observe that it is continuous graph.
The curve is decreasing for x <-2 and increases for (-2,1) and again decreases from (1,3) then increases from (3,infinity)
Hence f'(x) >0 for (-2,1) and (3,infinity)
f'(x) <0 for (-infty, -2) and (1,3)
From the above we find that f'(x) =0 for x=-2,1,and 3
Extreme points are -2,1 and 3
Absolute and local minima at x=-2, y=-9.67
Local maxima at (1,6.08) and again
local minima at (3,0.75)
Absolute maxima lies at infinity
Answer:
Option 4. overall minimum in (-2.9.67)
Step-by-step explanation:
A global maximum point (x0, f (x0)) is defined as the point at which f (x0) is the maximum value of the function. That is, there is no value in the domain of f (x) other than x0 where f (x) is greater than f (x0)
A global minimum point (x0, f (x0)) is defined as the point at which f (x0) is the smallest value of the function. That is, there is no value in the domain of f (x) other than x0 where f (x) is less than f (x0)
Based on that deficion we must look for the point where f (x) has the lowest value.
That point is (-2.9.67)
Therefore that is the overall minimum of the function.
Although the function has a maximum in (1.6.08), the function keeps growing for x> 4, that means that there is a point where the function is bigger than in x = 1.
Therefore this is not a local maximum.
solve the equation
12x + 6y = 24 for x
Answers
12x + 6y = 24
add -6 to both side
12x + 6y + -6y = 24 + -6y
Combine like terms:
6y + -6y = 0
12x + 0 = 24 + -6y
12x = 24 + -6y
Divide each side by '12'
x = 2 + -0.5y (your answer)
What variable expression represents the phrase 25 decreased by the sum of 6 and a number
Answers
The variable expression represents the phrase '25 decreased by the sum of 6 and a number' is 25-(6+x).
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and methods can be used to convert description to mathematical expressions.
We have to find the variable expression represents the phrase '25 decreased by the sum of 6 and a number'
Let the number be x then decrease mean subtract, sum means add
by means parenthesis;
The expression becomes as;
25 - (6 + x)
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Determine which line is steeper. Explain your answer. What does it represent in this situation?
Answers
Answer:
I would say the Pennington line is steeper because the slope of the purple line is 2 and the other is 3/2 (don't know if they want slope or not) and it represents that it took 2.5 to three hours to travel 240 miles compared to the other one that takes four hours to travel the same distance. Hopefully that's right
Step-by-step explanation:
Answer:
the purple one is steeper
Step-by-step explanation:
bc i said so :) and it shows that it is
Explain how the cartons and boxes for table tennis balls are like the digits for numbers in our base-10 number system.
Answers
Answer:
To explain the cartoons and the boxes for table tennis balls are like the digits for numbers in base-10 number system
Here we know that, the number of table tennis balls in one box =10 balls
and the number of table tennis balls in boxes in each cartoon = 10 balls
Therefore, The number of table tennis balls in each cartoon =10×10=100 balls
Hence for the number of balls ,the hundreds place tells the number of cartoons and tens place tells the number of boxes which left as remainder or without cartoon.
For example if the total tennis balls =540 then its hundreds place i.e 5 tells the number of cartoons and its tens place i.e.4 tells the number of boxes which left as remainder or without cartoon.
Answer:
Base 10 Number System = (0,1,2,3,4,5,6,7,8,9)
In a Carton of table tennis there are 10 boxes.
And Each Box can Hold 10 Balls.and if i mark boxes from 0 to 9, then
then there are 10 boxes , Total number of Balls=100
So if I represent a single Carton by A, then
A[single carton] ={0,1,2,3,4,5,6,7,8,9}= 10 boxes =100 balls
B [2 carton]= 20 boxes=200 balls
C[ 5 cartons + 3 Boxes] = 5× 100+ 3×10 =530 balls
D[ 12 cartons + 8 Boxes]= 12×100+8×10=1280 balls
Now you can see,
Each carton is holding the balls in decimal number system.
Boxes = Ten's place in number system,
Number of cartons = either Hundred place or thousand place or more than that
In this way we can represent Carton and Box for table tennis balls in decimal number system having base 10 .
What Ticket prices will result in an income of $0?
Answers
100p-5p^2 = 0
Factor out 5p out of 100p and -5p^2:
5p(20) + 5p(-p) = 0
Factor:
5p(20-p)=0
Divide each term by 5:
p = 0
Set 20-p to 0 and solve for p:
p = 20
The answer is 0, 20
amal solved the equation by completing the square.
x2−8x+14=0
Which equation shows one of the steps Jamal could have taken to complete the square?
x2−8x+16=−14+16
x2−8x+64=−14+64
x2−8x+16=−14
x2−8x+64=−14
Answers
Consider the given equation [tex]x^2-8x+14=0[/tex]
We will solve this equation by completing the square method.
Consider the coefficient of 'x', divide it by '2'. then adding and subtracting the square of this number in the given equation.
Coefficient of 'x' = -8
By dividing it by '2', we get -4
Taking the square of '-4' = 16
Adding and subtracting '16' from the given equation.
[tex]x^2-8x+14+16-16=0[/tex]
So, [tex]x^2-8x+16 = -14+16[/tex]
This equation shows one of the step used in solving the equation by completing the square method.
Therefore, option 1 is the correct answer.
For Jamal to solve the equation, [tex]x^2 - 8x + 14 = 0[/tex], by completing the square, one of the steps that could be taken is: A. [tex]\mathbf{x^2 - 8x + 16 = - 14 + 16}[/tex]
Jamal was given the equation, [tex]x^2 - 8x + 14 = 0[/tex], to solve by completing the square.
To do this, the first step would be to move the constant, 14 to the other side of the equation by subtracting 14 from both sides of the equation.
Thus:
[tex]x^2 - 8x + 14 - 14 = 0 -14\\\\x^2 - 8x = -14[/tex]
The next step to take is for Jamal to add the square of half of the coefficient of x to both sides of the equation.
Coefficient of 8x = 8Half of the coefficient of 8 is 4Square of 4 = 16Add 16 to both sides of the equation[tex]x^2 - 8x + 16 = - 14 + 16[/tex] (this tallies with the first option given).
Therefore, for Jamal to solve the equation, [tex]x^2 - 8x + 14 = 0[/tex], by completing the square, one of the steps that could be taken is: A. [tex]\mathbf{x^2 - 8x + 16 = - 14 + 16}[/tex]
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Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20≥8+4.99x
Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answers
Answer:
you minus 8 from 20 which will = to 12. Then you divide 12 by 4.99 and it equals to like 2.4 but you can't buy a .4 of a candy bar so have to round it down to 2
Step-by-step explanation:
Janelle can buy 2 snacks with her remaining budget after purchasing a movie ticket. The inequality 20 ">= 8" + 4.99x is satisfied with x=2, where each snack costs $4.99.
Janelle is at the movie theater with a budget of $20 to spend. After purchasing her movie ticket for $8, she wants to buy snacks with the remaining money. Since each snack costs $4.99, we can represent the situation with the following inequality:
20 ≥ 8 + 4.99x
To find out how many snacks, x, Janelle can buy, we subtract the cost of the movie ticket from her total budget:
$20 - $8 = $12
Now, we divide the remaining amount by the cost of one snack:
$12 / $4.99 ≈ 2.4
Since Janelle cannot buy a fraction of a snack, we round down to the nearest whole number. Thus, Janelle can buy 2 snacks with her remaining budget.
A car needs fixing and abe can tfix it for $70 per hour with $130 part, but gabe can fix it for $80 an hour with a $40 part. How long will it take for both abe and gabe to cost the same amount?
Answers
answer is $560
that is lcm of 70&80
Based on a poll, 70% of internet users are more careful about personal information when using a public wi-fi hotspot. What is the probability that among three randomly selected internet users, at least one is more careful about personal information when using a public wi-fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?
Answers
The probability that at least one of the three randomly selected internet users is more careful about personal information when using a public wi-fi hotspot is 97.3%.
Explanation:To find the probability that at least one of the three randomly selected internet users is more careful about personal information when using a public wi-fi hotspot, we can calculate the probability of the complement event, which is the event that none of the users are more careful. Since the probability that an internet user is more careful is 70%, the probability that a user is not more careful is 1 - 70% = 30%. The probability of the complement event for all three users is (0.3)^3 = 0.027. Therefore, the probability that at least one user is more careful is 1 - 0.027 = 0.973, or 97.3%.
Additional information that the survey subjects volunteered to respond does not affect the calculation of the probability. The probability is based solely on the given percentage from the poll, which represents the proportion of internet users who are more careful about personal information when using a public wi-fi hotspot.
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The probability that at least one internet user is more careful about personal information when using a public wi-fi hotspot is 0.973.
Explanation:To find the probability that at least one person is more careful about personal information when using a public wi-fi hotspot, we can use the complement rule. The complement of at least one person being more careful is that no one is more careful. So, the probability that no one is more careful is 0.3 multiplied by 0.3 multiplied by 0.3 (since there are three internet users). Then we subtract this probability from 1 to find the probability that at least one person is more careful. So, the probability that at least one person is more careful is 1 - (0.3 x 0.3 x 0.3) = 0.973.
The additional information that the survey subjects volunteered to respond does not affect the result of the probability calculation. The probabilities are based on the initial survey results, and any additional information would be separate from those probabilities.
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Only had 10% of the t shirts he started with. If he has 25 t shirts
Answers
Ron bought 40 pen sets and sold 25. This year he bought 75 pen sets and sold 60. The absolute error each year was the same. Are the percent errors also the same? Explain using the solutions.
Answers
Absolute error is defined as the magnitude of the difference between the exact value and the approximation.
Here both the times, the error is 15.
40-25=15 and 75-60=15
No, the percent error is not same because the exact values are different and hence, the percent error is different.
Percent error value in 1st case is :
[tex]40-25=15[/tex]
error percent is= [tex]\frac{15}{40}\times100=37.5[/tex]%
Percent error value in 2nd case:
[tex]75-60=15[/tex]
error percent is=[tex]\frac{15}{75}\times100=20[/tex]%
Answer:
The percent error compares the absolute error
Step-by-step explanation:
Does This Graph Represent A Function? Why Or Why Not?
Answers
Nikola buys a bouqet of 8 sunflowers 18 dollars what is the cist of one sunflower
Answers
this means you divide the price by however many units there are!
18/8 = $2.25 per flower.
Hope this helps!
Answer:
The cost of one sunflower is $2.25. :psksksksk
Step-by-step explanation:
All you have to do is divide 18 divided by 8. easypeasy. ;psksksksk
Which polynomial represents the difference below?
3x^2+8x+7-(4x^2-2x)
A.–x2 + 6x + 7
B.–x2 + 10x + 7
C.3x2 + 4x + 7
D.3x2 + 6x + 7
Answers
− x^ 2 + 10 x + 7 so the answer is B.
hope it helps
Answer:
[tex]-x^2+10x+7[/tex]
Step-by-step explanation:
3x^2+8x+7-(4x^2-2x). find the difference of the polynomials
First remove the parenthesis by multiplying minus inside the parenthesis.
[tex]3x^2+8x+7-4x^2+2x[/tex]
Now we combine like terms. the terms with same variables and same exponents are like terms.
[tex]3x^2-4x^2= -1x^2[/tex]
[tex]8x +2x= 10x[/tex]
[tex]3x^2+8x+7-(4x^2-2x)=-x^2+10x+7[/tex]
Which graph appears to show a normal distribution ?
Answers
Look at the picture.
It are the examples of a normal distribution.
Answer: B.
Your food bill was $80 at a restaurant. You left a tip of $ 16 . What percentage of the food bill did you leave for the tip?
Answers
43 ones times 3 tens equals how many hundreds
Answers
Which of the following points are solutions to the equation
y=6x−4?
Select three that apply.
(-3, -14)
(0, -4)
(3, 14)
(-2, -16)
(-2, 16)
Answers
Create and solve a linear equation that represents the model, where squares and triangles are shown evenly balanced on a balance beam. Assume the weight of a square is 1 unit and the weight of a triangle is unknown.
Answers
Let the weight of triangle be x units. You are given that the weight of square is 1 unit.
1) On the left side of the balanced beam you can see 3 triangles and 5 squares. The weight on left side is 3·x+5·1=3x+5 units.
2) On the right side of the balanced beam you can see 2 triangles and 7 squares. The weight on right side is 2·x+7·1=2x+7 units.
3) If the whole system is balanced, then the weights on left and right sides are equal:
3x+5=2x+7.
Solve this equation:
3x-2x=7-5,
x=2 units.
Answer: option A
Which equations are correct
-6^4(4y^2+2)=-24y^8-12y^4
-4x^2(2x^2+5)=-8x^4-20x^2
-4b^3(5b^2+3)=-20b^6-12b^3
-5a^4(2a^2+4)=-10a^6-20a^4
Answers
Answer:
2nd, 3rd and 4th equations are correct.
Step-by-step explanation:
[tex]-4x^2(2x^2+5)=-8x^4-20x^2\\\\[/tex]
is right because each term inside is multiplied by -4x square and we find the answer is right.
[tex]-4b^3(5b^2+3)\\\\\\= -4(5)(b^3)(b^2) =-20b^6-12b^3\\[/tex]
Hence correctly done.
[tex]-5a^4(2a^2+4)= (-5)(2)(a^4)(a^2)+(-5)(4)(a^4\\-10a^6-20a^4\\[/tex]
Correctly done.
[tex]-6^4(4y^2+2)=-24y^8-12y^4\\= -(6)(6)(6)(6) 4y^2 -(6)(6)(6)(6) (2)[/tex]
should be the right answer.
But instead only 6 is multiplied by inner terms. Hence wrong.
I answer is wrong and others are right.
What is 147.3 as a mixed number and what is 147.3 as a improper fraction
Answers
Pick any number. If that number is even, divide it by 2. If it's odd, multiply it by 3 and add 1. Now repeat the process with your new number. If you keep going, you'll eventually end up at 1. Every time.
Answers
4/2=2+1=3x3=9+1=10/2=5+1=6/2=3+1=4/2
That is pretty darn cool.