Answer:
78,073
Step-by-step explanation:
Subtract 8,420 from 86,493...86,493-8,420=78,073 is the answer
Double check by using inverse operations...78,073+8,420=86,493
It is correct, as I ended up with 86,493, the starting number of the equation.
Given $f(x) = \frac{\sqrt{2x-6}}{x-3}$, what is the smallest possible integer value for $x$ such that $f(x)$ has a real number value? please show steps. Thank you!
Given:
The function is:
[tex]f(x)=\dfrac{\sqrt{2x-6}}{x-3}[/tex]
To find:
The smallest possible integer value for $x$ such that $f(x)$ has a real number value.
Solution:
We have,
[tex]f(x)=\dfrac{\sqrt{2x-6}}{x-3}[/tex]
This function is defined if the radicand is greater than or equal to 0, i.e., [tex]2x-6\geq 0[/tex] and the denominator is non-zero, i.e., [tex]x-3\neq 0[/tex].
[tex]2x-6\geq 0[/tex]
[tex]2x\geq 6[/tex]
[tex]\dfrac{2x}{2}\geq \dfrac{6}{2}[/tex]
[tex]x\geq 3[/tex] ...(i)
And,
[tex]x-3\neq 0[/tex]
Adding 3 on both sides, we get
[tex]x-3+3\neq 0+3[/tex]
[tex]x\neq 3[/tex] ...(ii)
Using (i) and (ii), it is clear that the function is defined for all real values which are greater than 3 but not 3.
Therefore, the smallest possible integer value for x is 4.
Which inequality is shown in the graph?
I need help plz
Answer:
I am pretty sure it is B.
Step-by-step explanation:
This is a line with a positive slope, therefore we can discard c and d.
the sign < will mean that the shaded in area will be on your right side.
Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to estimate the mean revenue from dealer service departments. The members are identified by numbering them 00 through 34. We want to select a random sample of five dealers. The random numbers are: 34, 32, 39, 94, 25, 71, 71, 13, 52, 39, 19, and 67. Which dealers would be included in the sample
Answer:
Following are the solution to the given question:
Step-by-step explanation:
There will be 35 members of the Toledo Automotive Metro from such reports
The Organization of Distributors. The membership is sequentially numbered between 00 and 34.
The five traders selected a random sample as follows:
[tex]34, 32, 39, 94, 25, 71, 71, 13, 52, 39, 19, 67[/tex]
The decision should be made in 00 and 34.
In this the remaining numbers 39, 94,. . . . .67 were not chosen because it is beyond the ranges that are 00-34.
The samples contain 34, 32, 25, 13, and 19 distributors.
Ann, Bob, Carol, and Denis own a candy store. After a large argument, they decide to dissolve their partnership using the sealed bid method. Ann bids $320,000 for the store, Bob bids $440,000 for it, Carol bids $240,000 for it, and Denis bids $400,000 for it.
Required:
a. What is Bob's fair share?
b. What is Carol's fair share?
c. What is Denis's fair share?
Answer:
Following are the solution to the given points:
Step-by-step explanation:
[tex]Ann=\$3,20,000\\\\Bob=\$4,40,000\\\\Carol=\$240,000\\\\Denis= \$4,00,000\\\\[/tex]
Each player's offer divided by the total number of players calculates the fair share
Ann's fair share [tex]= \frac{\$320,000}{4} = \$80,000\\\\[/tex]
Bob's fair share[tex]= \frac{\$440,000}{4} = \$110,000\\\\[/tex]
Carol's fair share [tex]= \frac{\$240,000}{4} = \$60,000\\\\[/tex]
Denis's fair share [tex]= \frac{\$400,000}{4} = \$100,000\\\\[/tex]
Because Bob has the highest bid, that receives in the business.
Payments:
Ann [tex]\$80,000[/tex] paid by estate
Bob [tex]= \$440,000 - \$110,000 = \$330,000[/tex] owes estate
Carol [tex]= \$60,000[/tex] paid by estate
Denis [tex]= \$100,000[/tex] paid by estate
Surplus [tex]= \$330,000 - (\$80,000+\$60,000+ \$100,000) = \$90,000[/tex]
Splitting the equally among the four players. therefore one of the each receives:
[tex]\frac{\$90,000}{4}= \$22,500[/tex]
The final settlement of the Ann receives:
[tex]= \$80,000+ \$22,500 = \$102,500[/tex]
five eights of the people on a hike were children. there are 20 children on the hike. how many people total
Answer:
There were a total of 32 people on the hike.
Step-by-step explanation:
Represent the number of people total by p. Then:
(5/8)p = c = the number of children
Since there are 20 children on the hike, (5/8)p must equal 20:
(5/8)p = 20
Solve for p by multiplying both sides by (8/5):
(8/5)(5/8)p = 20(8/5), or
p = 32
There were a total of 32 people on the hike.
round 3/5 to 3 decimal points
Answer:
3/5=0.600
Step-by-step explanation:
I hope this answer helps
The answer is 0.6.
Upto 3 decimal places it is 0.600.
what is x divided by one
Answer:
[tex] x \div 1[/tex]
[tex] = x[/tex]
Answer:
[tex]x\div 1=x[/tex]
Step-by-step explanation:
When x is divided by one it is called reciprocal.
reciprocal is the inverse of a number or a value.
examples: The reciprocal of 3 is 1/3, and the reciprocal of 5 is 1/3.
OAmalOHopeO
when solving inequalities,name 2 steps that are the same as solving equations and one difference
9514 1404 393
Explanation:
same:
the addition property of equalitythe multiplication property of equality (for positive multipliers)different:
the multiplication property of equality for negative multipliers_____
Additional comment
Multiplication by a negative number has the effect of re-ordering numbers:
-1 < 2 . . . 1 > -2 (both sides multiplied by -1)
Other functions can have the same effect, so care must be taken when applying functions to both sides of an inequality.
1/2 > 1/3 . . . 2 < 3 (reciprocal function applied to both sides)
30° < 60° . . . cos(30°) > cos(60°) (cosine function applied to both sides)
Please help due tomorrow
Answer: x= 2.5, y = 10
Step-by-step explanation:
I'm going to assume that these photocopies are proportional in relations to each other.
If they're proportional, you can set up two proportions:
[tex]1) \frac{x}{5} =\frac{3}{6} \\\\2) \frac{5}{y} =\frac{3}{6}[/tex]
And cross-multiply:
[tex]1) 6x = 5*3 \\\\2) 3y = 5*6[/tex]
Then solved for x and y:
[tex]1) 6x = 15\\x=\frac{15}{6} =\frac{5}{2} =2.5 \\\\2) 3y = 30\\y=\frac{30}{3} =10[/tex]
An item is regularly priced at$15.It is now priced at a discount of55%off the regular price
Answer:
$6.75
Step-by-step explanation:
The regular price is $15 dollars. The discount is 55% off the $15.
15 * 0.55 = 8.25
15 - 8.25 = 6.75
Hope this helps.
Answer:
discount =8.25
New price 6.75
Step-by-step explanation:
15 is the regular price
The discount is 55%
15*.55
8.25
The new price is the regular price minus the discount
15-8.25
6.75
Which function has a range of y < 3?
y - 3(2)
y = 2(3)
O y=-(2)x+ 3
Oy- (2) * - 3
Given:
The range of a function is [tex]y<3[/tex].
To find:
The function for the given range from the given options.
Solution:
In option A, the given function is:
[tex]y=3(2)^x[/tex]
Here, [tex](2)^x[/tex] is always greater than 0. So, [tex]3(2)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].
In option B, the given function is:
[tex]y=2(3)^x[/tex]
Here, [tex](3)^x[/tex] is always greater than 0. So, [tex]2(3)^x[/tex] is also greater than 0, i.e., [tex]y>0[/tex].
In option C, the given function is:
[tex]y=-(2)^x+3[/tex]
Here,
[tex](2)^x>0[/tex]
[tex]-(2)^x<0[/tex]
[tex]-(2)^x+3<0+3[/tex]
[tex]y<3[/tex]
The range of this function is [tex]y<3[/tex]. So, option C is correct.
In option D, the given function is:
[tex]y=(2)^x-3[/tex]
Here,
[tex](2)^x>0[/tex]
[tex](2)^x-3<0-3[/tex]
[tex]y<-3[/tex]
The range of this function is [tex]y<-3[/tex]
Therefore, the correct option is only C.
Think of a two-digit number. What is the probability that it has different digits?
Answer:
9/10
Step-by-step explanation:
The first two digit number is 10 and the last is 99. That's a total of 99-10+1 numbers in all. That simplifies to 90. (Just like if we wanted to see how many numbers was 3,4,5, we would do 5-3+1=3 to get the total number.
Anyways, let's consider first how many 2 digjt numbers whose digits are equal. You have 11 22,33,44 55,66,77,88,99 which is 9 numbers total.
So the amount of 2 digits number whose digits differ is 90-9=81.
The probability that a 2 digit number have different digits is 81/90.
This can reduce. Divide top and bottom by 9 giving 9/10.
The length of the path of the first swing of the bob of a pendulum is 0.6 in. Each
succeeding swing is only 0.9 as long as the preceding one. How far will the bob travel in the
first six swings?
Answer:
0.3188646
Step-by-step explanation:
an=a×r^n-1
a6=0.6×0.9^5
=0.354294
1st swing: 0.6
2nd swing: 0.9×0.6=0.54
3rd swing: 0.9×0.54= 0.486
4th 0.9×0.486= 0.4374
5th 0.9×0.4374= 0.39366
6th 0.9×0.39366=0.354294
Brainliest please~
The bob travel in the first six swings will be 0.35 inches.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The length of the path of the first swing of the bob of a pendulum is 0.6 in.
Each succeeding swing is only 0.9 as long as the preceding one.
The first term is 0.6 and the common ratio is 0.9.
Then the bob travel in the first six swings will be
a₆ = 0.6 × (0.9)⁶⁻¹
a₆ = 0.6 × (0.9)⁵
a₆ = 0.6 × 0.59
a₆ = 0.35
The bob travel in the first six swings will be 0.35 inches.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ2
Find the area of a rectangle that measures 12ft by 3 1/3 ft
Answer:
40 ft^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
=12 * 3 1/3
Change to an improper fraction
= 12 ( 3*3+1)/3
= 12 (10/3)
40
Answer:
[tex]40 {ft}^{2} [/tex]
Step-by-step explanation:
[tex]area = l \times b \\ = 12 \times 3 \frac{1}{3} \\ = 12 \times \frac{10}{3} \\ = \frac{120}{3} \\ = 40 {ft}^{2} [/tex]
Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? please give answer in step by step explaination
Answer:
4300 x 12= 51600
20/100 x 51600
10,320 Rs (also pay bohat kam hai :D )
What is the equation of the perpendicular bisector of CB?
A. 4 1
y=-x
3 6
B. 3 1
y = -x +
4 2.
C. -4 31
y=x+
3 6
D. -3
-x+ 4
4
Answer:
equation for perpendicular bisector passing through CB is;
y=⁴/³– 5/30
I RLLY NEED HELP!!!!!!
Answer:
Angle ADB = 60 degrees
Step-by-step explanation:
This is a 60 60 60 triangle, which means all of its angles equal 60 degrees. Therefore angle ADB is 60 degrees.
help please will give brainiest asap
Answer:
C
Step-by-step explanation:
Let me know if you need an explanation
Helpekksdjfkfodldkdkdodidididisj Help
Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. m∠1 and m∠2 are complementary. This statement was given from the question.
2. m∠1 + m∠2 = 90°. Complementary angles add up to give 90°.
3. m∠2 = 74°. This was given in the question.
4. m∠1 + 74 = 90°. Since m∠1 and m∠2 are complementary. Their sum will add up to give 90°
5. m∠1 = 16°
We can prove m∠1 = 16° as shown below:
m∠1 + m∠2 = 90° (complementary angles)
m∠2 = 74°
m∠1 + 74 = 90°
Collect like terms
m∠1 = 90 – 74
m∠1 = 16°
Jeannine needs to decide what size to make a rectangular
garden in her yard. The dimensions must be natural numbers.
Jeannine wants the perimeter of her Chapter Reference
garden to be 50 dm. She wants the
width to be an even number of decimeters. How many
different combinations are possible? (Length is always longer than or equal to width.)
Answer:
Total number of possible combinations are 6
Length width
23 dm 2m
21 dm 4 dm
19 dm 6 dm
17 dm 8 dm
15 dm 10 dm
13 dm 12 dm
Step-by-step explanation:
We are given that
Perimeter of rectangular garden=50 dm
Width is even number.
Length is always longer than or equal to width.
Let length of rectangular garden=x
Width of rectangular garden=y
We have to find the possible number of combinations .
Perimeter of rectangular garden=[tex]2(x+y)[/tex]
[tex]2(x+y)=50[/tex]
[tex]x+y=50/2[/tex]
[tex]x+y=25[/tex]
If y=2 dm
x=25-2=23 dm
If y=4 dm
x=25-4=21 dm
If y=6 dm
x=25-6=19 dm
If y=8 dm
x=25-8=17 dm
If y=10 dm
x=25-10=15 dm
If y=12 dm
x=25-12=13 dm
If y=14 dm
x=25-14=11 dm
x<y
It is not possible
Then, possible combinations are 6
Length width
23 dm 2m
21 dm 4 dm
19 dm 6 dm
17 dm 8 dm
15 dm 10 dm
13 dm 12 dm
A certain prescription drug diminishes in the system at a rate of 25% per hour. If a person was administered 1450mg of the drug, how much will remain in 4 hours? How many hours will it take for the amount of the drug in their system to be less than 5mg?
9514 1404 393
Answer:
459 mgabout 20 hoursStep-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
__
a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
__
b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.
michael has an average of 68% in his 3 papers but that is below the pass mark of 70%. what must be his least score in the fouth paper to enable him pass?
Answer:
72%
Step-by-step explanation:
68% + x/2 = 70%
68 + x = 140
x = 72
if (a + b) = 73 and a b =65 find value of a²+ b²
Step-by-step explanation:
Here,
by formula a^2+b^2=(a+b)^2-2ab
so,
or,(a+b)^2-2ab
or,(73)^2-2×65
or,5329-126
=5203 is the answer
Which of the following scatterplots do not show a clear relationship and would not have a trend line?
Answer:
the second one
Step-by-step explanation:
it is not going in any general direction
Answer:
B
Step-by-step explanation:
There is a close relationship between the air pressure inside a hurricane and its maximum sustained wind speed: y=−1.22x+1250 where x is the air pressure in millibars (kPa) and y is the wind speed in knots (nautical miles per hour).
What does the slope of the line represent?
A. the change in wind speed for every 1 kPa increase in air pressure
B. the wind speed of a hurricane with an air pressure of 1000 kPa
C. the wind speed of a hurricane with an air pressure of 0 kPa
D. the change in wind speed for every hour
Answer:
A. the change in wind speed for every 1 kPa increase in air pressure
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope (rate of change) of the line and b is the y intercept (value of y when x = 0)
Given the line y=−1.22x+1250 where x is the air pressure in millibars (kPa) and y is the wind speed in knots.
The slope of the line is -1.22. The slope means that there is a decrease in wind speed by 1.22 miles per hour for every increase of 1 kPa in air pressure.
A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 32% chance that the player will miss both shots, a 22% chance that he will make one of the shots, and a 46% chance that he will make both shots.
Required:
a. Construct the appropriate probability distribution.
b. What is the probability that he makes no more than one of the shots?
c. What is the probability that he makes at least one of the shots?
GIVING 10 POINTS ANSWER ASAP PLEASE
Simplify the following rational expression.
\dfrac{n^2-225}{n^2+30n+225}=
n
2
+30n+225
n
2
−225
=start fraction, n, squared, minus, 225, divided by, n, squared, plus, 30, n, plus, 225, end fraction, equals
Which values of nnn make the expression undefined?
Answer:
the answer is n, 225 so u can use another app to make sure u find ur answer
The population of a strain of bacteria doubles in a culture. At noon there were 80 bacteria present and by 4:00 PM there were 20 480 bacteria. Determine algebraically the doubling period. Hint: You DO NOT need to use systematic trials.
Answer:
t = 1/2 hour
Step-by-step explanation:
20480 = 80[tex]x^{t }[/tex]
20480 = 80[tex]x^{4 }[/tex]
20480/80 = [tex]x^{4 }[/tex]
256 = [tex]x^{4 }[/tex]
x = 4
doubling period
2 = [tex]4^{t}[/tex]
t = 1/2 hour
Line Lis perpendicular to the y-axis. If the line contains point(0, -9), what is the equation of Line ?
O1
y = 0
2
x = 0
O
a
3
X = -9
4
y = -9
Answer:
y = -9
Step-by-step explanation:
perpendicular to the y-axis means it is parallel to the x-axis.
so, it is a flat line, which means the slope is 0 (it has the save y value for every x value).
therefore the equation is
y = 0×x + b
of simply
y = b
to get b we look at the point we know about (0, -9).
-9 = b
aha !
so, the line equation is simply
y = -9
if( x) means 10 what's (x) divide my 2
Answer:
If you meant that the value of (x) is equal to 10, and you want that value divided by 2, then that would be easy!
10/2 is equal to 5.
If you meant something else, please let me know! :)
