Answer:
1000/25 or 40
Step-by-step explanation:
~ A reciprocal is the fraction's reverse
For example 2/3=3/2
.025 is also 25/1000
The reverse of 25/1000 is 1000/25
Simplified into 40 wholes
1000/25 is the reciprocal of 0.025
What is Fraction?A fraction represents a part of a whole.
Given,
Decimal value is 0.025
Zero point zero two five.
Firstly let us convert this to the fraction form.
When twenty five is divided by thousand we get 0.025
25/1000=0.025
So the fraction is 25/1000.
Now we need to find the reciprocal of fraction 25/1000.
Reciprocal means the numerator changes to denominator and denominator changes to numerator.
So 25/1000 reciprocal is 1000/25
Hence, 1000/25 is the reciprocal of 0.025
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ2
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
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.
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.
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]
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( 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! :)
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
A hat contains slips of paper with the letters A-Z printed on them. if you draw one at random, what is the probability that you will get a vowel?
Please answer!!!
Answer:
5/26
Step-by-step explanation:
Answer:
5/26
Step-by-step explanation:
Threre are five vowels in the English alphabet, 26 total
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.
help please will give brainiest asap
Answer:
C
Step-by-step explanation:
Let me know if you need an explanation
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.
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)
A stone is thrown vertically upward at a velocity of 10 feet per second from a bridge that is 60 feet above the level of the water. The height h (in feet) of the stone at time t (in seconds) after it is thrown is given by
h = -16t2 + 10 + 60.
(a) Find the time when the stone is again 60 feet above the water. ____sec
(b) Find the time when the stone strikes the water. (Round your answer to two decimal places.) ____sec
(c) Does the stone reach a height of 90 feet? O Yes O No
9514 1404 393
Answer:
(a) 0.625 seconds (rounds to 0.63)
(b) 2.27 seconds
(c) No
Step-by-step explanation:
(a) We want to find t such that h = 60
60 = -16t^2 +10t +60
0 = t(-16t +10) . . . . . . . . . subtract 60, factor
t = 0 or t = 10/16 = 5/8 = 0.625
The stone is again 60 feet above the water after 0.625 seconds.
__
(b) We want to find t such that h = 0
0 = -16t^2 +10t +60
16t^2 -10t = 60
16(t^2 -5/8t +25/256) = 60 +25/16 . . . . complete the square
(t -5/16)^2 = 61.5625/16 = 3.84765625 . . . . simplify a bit
t = 5/16 +√3.84765625 ≈ 2.274 . . . . square root, add 5/16
The stone strikes the water at about 2.27 seconds.
__
(c) The equation above tells us the peak height of the stone is about 61.56 feet. It does not reach a height of 90 feet.
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 )
How long will it take the same crew to clear the entire plot of 2 1/2 acres?
Answer:
1. 15 days
2. 0.17 acre.
Step-by-step explanation:
1. Determination of the number of days.
From the question given above,
The crew clears ⅓ acre of land in 2 days.
Therefore, the crew will clear 2½ acres in = (2½ × 2) / ⅓
= (5/2 × 2) × 3
= 15 days
Thus, the crew will clear 2½ acres in 15 days
2. Determination of the acre of land.
From the question given above,
The crew clears ⅓ acre of land in 2 days.
Therefore, the crew will clear X acre of land in 1 day i.e
X acre of land = ⅓ ÷ 2
X acre of land = ⅓ × ½
X acre of land = 1/6
X acre of land = 0.17 acre
Thus, the crew will clear 0.17 acre of land in 1 day
In a right triangle, the side adjacent to angle x is 4 units. The side opposite that angle is 9 units. What is the tangent ratio for angle x?
Select one:
a. 9/13
b. 4/13
c. 9/4
d. 4/9
Answer:
C.
Step-by-step explanation:
Refer to these trigonometry shortcut acronyms:
SOH CAH TOA
sine = Opposite/Hypotenuse
cosine = Adjacent/Hypotenuse
tangent = Opposite/Adjacent
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.
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:
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°
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.
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?
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
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
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
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
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.
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
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.
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
