(102)^2-(98)^2
Factories it
\(\huge\textsf{Hey there!}\)
\(\mathsf{102^2 - 98^2}\)
\(\mathsf{102^2}\)
\(\mathsf{= 102\times 102}\)
\(\boxed{\mathsf{= \bf10,404}}\large\checkmark\)
\(\mathsf{\bold{10,404} - 98^2}\)
\(\mathsf{98^2}\)
\(\mathsf{= 98\times 98}\)
\(\boxed{\mathsf{=\bf 9,604}}\large\checkmark\)
\(\mathsf{10,404 - \underline{9,604} = \boxed{\bf800}}\large\checkmark\)
\(\rightarrow\mathsf{102^2 - 98^2 = \boxed{\bf 800}}\large\checkmark\)
\(\boxed{\boxed{\huge\textsf{Answer: \bf 800}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Mr. Ed earns $15.50 per hour. His regular hours are 40 hours per week, and he receives
time-and-a-half overtime. Find his total pay for a week in which he works 45 hours.
Answer:
For the first 40 hours that Mr. Ed works, he earns his regular rate of pay, which is $15.50 per hour. So, his regular pay for the week is:
40 hours x $15.50 per hour = $620
For the additional 5 hours he works, he earns overtime pay at a rate of time-and-a-half, which is 1.5 times his regular pay rate. So, his overtime pay for the week is:
5 hours x $15.50 per hour x 1.5 = $116.25
Therefore, Mr. Ed's total pay for the week in which he works 45 hours is:
$620 (regular pay) + $116.25 (overtime pay) = $736.25.
What is a number c decreased by 15?
Answer:
The Answer is Literally C - 15.
decreased by means subtract 15
and a number means the Variable: C
so C-15
Step-by-step explanation:
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 10%.
By what percentage does the volume of the can increase from the smaller can to the larger can? Round your answer to the nearest percent.
Answer:
Step-by-step explanation:
If the diameter increases by 10%,
new diameter = d+⅒ = 1.1d
also new radius = 0.55r
Height also increasesby 10%,
New height = h+⅒h = 1.1h
hence diameter of larger can =
π*(0.55)²*1.1= 1.0453
hence percentage change in volume
is 4.53% which can be rounded off to
What is equivalent 14×14
Answer:
196
Step-by-step explanation:
14 squared is 196. if thats the answer your looking for
Answer:
196 i believe.
Step-by-step explanation:
hopes this helps :)Ethan practiced lacrosse 3 1/3 hours last week. If each practice lasted 5/6 hours, how many practices did he attend?
Answer:
7 because of it invalidity
Solve for x: -4(3x - 2) = 6x +2
Answer:
x=1/3
Step-by-step explanation:
-4(3x-2)=6x+2
or,-12x+8=6x+2
or,-12x-6x=2-8
or,-18x=-6
or,x=-6/-18
or,x=1/3
Due todayAttendance Question (5/26/21) If f(x)= 5x + 3, then whatis f(-2)?100 pointsE Add class commentYour answerAssigned
To find f(-2) we have to replace x = -2 into f(x) as follows:
f(x)= 5x + 3
f(-2)= 5(-2) + 3
f(-2)= -10 + 3
f(-2)= -7
What does LCM mean in mathematics
Answer:
Lowest common factor.......
What is the range of the function f(x)=−3^x − 4?
(−3,∞)
(−4,∞)
(−∞,−3)
(−∞,−4)
If you culd please explain thanks
Answer:
(-oo, -4)
Step-by-step explanation:
The y-intercept is -4 and the function is negative. The y value continues infinitely downward and never rises past -4.
George’s restaurant deposited $5000 into a savings account. The account pays 3.5% simple interest on the annual basis. If no money is added or the withdrawn from the account how much interest will the restaurant earned after 28 months
Answer:
the restaurant will earn $406.25 in interest after 28 months.
Step-by-step explanation:
The first step is to calculate the annual interest rate. Since the account pays 3.5% simple interest on an annual basis, the annual interest rate is 0.035.
Next, we need to calculate the interest earned for 28 months. Since simple interest is being used, we can use the formula:
I = Prt
where I is the interest earned, P is the principal (the initial deposit), r is the annual interest rate, and t is the time in years.
Converting 28 months to years, we get:
t = 28/12 = 2.3333...
Rounding this to 2 decimal places, we get t ≈ 2.33 years.
Substituting the given values into the formula for simple interest, we get:
I = 50000.0352.33
Simplifying this expression, we get:
I ≈ $406.25
Therefore, the restaurant will earn $406.25 in interest after 28 months.
Answer:
To calculate the amount of interest the restaurant earned after 28 months, we need to use the formula I = Prt, where I is the interest, P is the principal amount (the amount initially deposited), r is the rate of interest (in decimal form), and t is the time period (in months).
Using this formula, we get: I = 5000*0.035*28 = 4200. Therefore, the restaurant will have earned $4200 in interest after 28 months.
In the expression if 2X=5=8X then 12X= ? you subtract 2X from each sideto get 5=6X then multiply both sides by 2
Why do you multiply both sides by 2
The value of 12x in the expression is 10
You multiply 5 = 6x by 2 to get 12x
From the question, we have the following parameters that can be used in our computation:
2x + 5 = 8x
You subtract 2X from each side to get
5 = 6x
Then multiply both sides by 2
This gives
10 = 12x
So, we have
12x = 10
Why do you multiply both sides by 2
You multiply by 2 because the question requests for the value of 12x
Since, we have solved for 6x, the next step is to multiply 6x by 2 to get 12x
i.e. 6x * 2 = 12x
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Gary is forming capture the flag teams out of all of the students that signed up from two classes. Each team must have the same number of players and be from the same class.
What is the largest number of players that Gary can put on each team
Answer:I don’t know
Step-by-step explanation:
The distance from our house to the grocery store is five and one quarter kilometres.The distance from our house to the mall is ten and three quarter kilometres .How much further is the mall than grocery store from our house?
After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.
How to find the distance between two points?If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\) and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).
Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.
So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.
Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.
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In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.
Step-by-step explanation:
A: If there are 2 modes, x can be either 1 or 2.
B: To find the mode of the data set, we need to count how many times each number appears.
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 4 times
- 3 appears 3 times
- 4 appears 1 time
Since both 1 and 2 appear 4 times in the data set, there are two modes.
For x, if we add it to the data set, then the mode must be x plus either 1 or 2.
If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.
So a possible value for x could be 2, and the mode would be 2.
How would you classify the number 121?
A. Perfect square
B. Perfect cube
C. Both a perfect square and a perfect cube
D. Neither a perfect square nor a perfect cube
A . Perfect square
Step-by-step explanation:
This is your answer
Hope this helps you :)
Answer: B- Perfect cube
Step-by-step explanation: I am smort
There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?
In a class of 48 children there are six more girls than boys how many boys are in the class
Answer: there are 16 boys in the class which means not ever girl can have a bf
Step-by-step explanation:
What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?
Answer:
1/3
Step-by-step explanation:
To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.
-2 - -1 = -1
-12 - -8= -3
-1/-3 = 1/3
Answer:
the answer is 4/1. Or just 4.
Step-by-step explanation:
-8-(-12) is -8+12=4. Then -1-(-2) is -1+2=1.
Points A, B, C, D, and E are collinear and in
that order. Find AC.if AE = x + 50 and
CE = x + 32.
Points A, B, C, D, and E are collinear and in that order. The value of Ac is 18.
According to the segment addition postulate, if two points on a line segment, A and C, are given, a third point, B, will only be found on line segment AC if and only if the distances between the points satisfy the conditions of the equation AB + BC = AC.
Keep in mind that a line segment is a portion of a line that has two distinct end points. There are many points between the two end points that make up the object.
The segment addition postulate can be stated more simply by saying that if point B lies on line segment AC, then AB + BC will equal AC.
by the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18
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A cruise ship is traveling south going approximately 22 mph when it hits the Gulf
Stream flowing east at 4mph.
Show your work.
Find the resultant direction. Round to the nearest tenth.
The cruise ship's resultant velocity is approximately 22.67 mph, and its direction is approximately 10.2 degrees south of east.
To find the resultant direction, we can use vector addition. Let's represent the southward velocity of the cruise ship as vector A and the eastward velocity of the Gulf Stream as vector B.
Given:
Magnitude of vector A (southward velocity of the cruise ship) = 22 mph
Magnitude of vector B (eastward velocity of the Gulf Stream) = 4 mph
To find the resultant velocity, we add the two vectors together. Since the vectors are perpendicular to each other, we can use the Pythagorean theorem to find the magnitude of the resultant vector:
Resultant velocity = √(A^2 + B^2) = √(22^2 + 4^2) ≈ 22.67 mph
Now, to find the direction of the resultant vector, we can use trigonometry. The angle between the resultant vector and the south direction can be calculated as:
θ = arctan(B / A) = arctan(4 / 22) ≈ 10.17 degrees
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Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Answer and I will give you brainiliest
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
first thing B union with c { 2,3,4,5,6}
then this group intersect with A that's will be {1,2,3} intersect with { 2,3,4,5,} the result { 2,3}
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 3,910 ÷ 25?
2,500
25
250
25,000
Answer:
250
Step-by-step explanation:
18. Find the 21st term if a₁ = 3/5 and
d = -1/3
(a) -6.07
(b) 11.67
Answer:
a
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n\) a₁ + (n - 1)d
here a₁ = \(\frac{3}{5}\) and d = - \(\frac{1}{3}\) , then
a₂₁ = \(\frac{3}{5}\) + (20 × - \(\frac{1}{3}\) )
= \(\frac{3}{5}\) - \(\frac{20}{3}\)
= 0.6 - 6.67
= - 6.07 ( to 2 decimal places )
Please help thxxxxxxxxxxxxxx
Answer:
18
Step-by-step explanation:
Question:
Given the demand equation p=190/q+10 where 10<0<85, for what value of q is | n | a maximum? For what value is it minimum?
The maximum and minimum value of η at q = 10 and q = 85 respectively.
The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.
η is the elasticity of demand.
Then, the elasticity of demand is given as:
η = ( dq/ dp) × ( p / q )
Now, we have p = 190/ (q + 10)
Therefore,
p ( q + 10 ) = 190
pq + 10p = 190
q = ( 190 - 10p ) / p
Now,
dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )
dq / dp = ( -190/ p² )
Substituting these values in the elasticity demand,
η = ( dq/ dp) × ( p / q )
η = ( -190/ p² ) × ( p / q )
η = ( -190/ pq )
η = ( -190/ [190 / (q + 10 ) ]q )
η = [ - ( q + 10 ) / q ]
| η | = | - ( q + 10 ) / q |
η = ( q + 10 ) / q = 1 + 10/q
The critical point is when | η' | = 0.
η' = ( d / dq ) ( 1 + 10/q )
η' = - 10/ q²
- 10/ q² = 0
Hence, - 10/ q² is not defined.
Therefore, the function is not defined at q = 0.
Therefore, q = 0 is not a solution.
We have 10 ≤ q ≤ 85
The value of functions at the endpoint,
At q = 10,
η = ( 1 + 10/q )
η = ( 1 + 10/10 )
η = 1 + 1 = 2
At q = 85,
η = ( 1 + 10/q )
η = ( 1 + 10/85 )
η = 1.11764
Therefore, the absolute value of the elasticity of demand is maximum at q = 10.
The absolute value of the elasticity of demand is minimum at q = 85.
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Adding and subtracting fractions show the working and answer
Answer:
1) 1/2
2)7/10
3)11/12
4)4/96
5)43/30
6)5/40
I will do one only. You gotta do your own homework.
simplify the expression cosxcotx+sinx
Answer:
I might be wrong but I think it is c²o²stx²+nsxi