Answer:
The answer is 0.01
Step-by-step explanation:
so in order to round it you have to know after the decimal it goes: tenths, hundreds, thousands (0 tenths, 0 hundreds, 0 thousands)
So 0.007492, take the first 3 numbers after the decimal, 0.007, since it will be in the hundreds place, lets see if we can round the 0 up. If the number behind 0 is greater then or equal to 5 round up, if the number is less then 5 then it stays the same. Since 7>5 it rounds up, so the 0 becomes 1. So your new number will be 0.01
Hoped this helped :D
By rounding 0.007492 to the nearest hundredth, we get 0.01.
What is the method of rounding a number?The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Example: 0.3879 rounded to the nearest hundredth is 0.39.
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Example: 0.3823 rounded to the nearest hundredth is 0.38.
Given number is 0.007492.
Rounding to nearest hundredth, we get:
0.00749 ⇒ 0.01.
Learn more about rounding a number to nearest hundredth here: https://brainly.com/question/13313945
#SPJ2
How many solutions are there to the equation below?
4(x – 5) = 3x + 7
Answer:
one solution
Step-by-step explanation:
4(x - 5) = 3x + 7
4x - 20 = 3x + 7
4x - 3x = 7 + 20
x = 27
Answer:
1 solution
Step-by-step explanation:
x = 27
distribution of 4 into x and -5
4x-20 = 3x +7
-3x+20=-3x+20
x = 27
Matt had 60 questions correct on a Percent’s Chapter Test that had 150 one-mark questions. What was his mark written as a percentage?
Answer:
His mark, as a percentage, was of 40%.
Step-by-step explanation:
Mark as a percentage:
His mark as a percentage is the number of questions correct multiplied by 100% and divided by the number of questions.
In this problem:
60 questions correct out of 150. So
60*100%/150 = 40%
His mark, as a percentage, was of 40%.
If 20% of a length is 23cm ,whathat is the complete length
Step-by-step explanation:
20% of the length is 23 cm
100% of the length is 23×5 = 115 cm
Can someone help PLSSS
Answer:
Step-by-step explanation:
Area stage = 1/2 h (ab +cd)
Area = 5(14+22)
meeting center Area = 180
room = 25*32 = 800
800-180 = 620 tile
620*$4.90 = $3038
So no not enough money....
Note: even if it was $2999 it still would not be enough because
you have to cut tiles to fit in corners and edges... Just having fun with that comment, the math problems sometimes don't take reality into account (ha ha ha)
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answer:
x = 1 , y = - 1 , z = 2
Step-by-step explanation:
[tex]\begin{pmatrix}1&1&-1&-2\\ 2&-1&3&9\\ 1&-1&-2&1\end{pmatrix}\\\\\\= \begin{pmatrix}2&-1&3&9\\ 1&1&-1&-2\\ 1&-1&-2&1\end{pmatrix}[/tex] [tex][ \ swap \ R_1 \ and \ R_2 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 1&-4&-2&1\end{pmatrix}[/tex] [tex][ \ R_2 = R_2 - \frac{1}{2} R_1 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\end{pmatrix}[/tex] [tex][ \ R_3 = R_3 - \frac{1}{2} R_1 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&\frac{3}{2}&-\frac{5}{2}&-\frac{13}{2}\end{pmatrix}[/tex] [tex][ \ swap \ R_2 \ and \ R_3 \ ][/tex]
[tex]=\begin{pmatrix}2&-1&3&9\\ 0&-\frac{7}{2}&-\frac{7}{2}&-\frac{7}{2}\\ 0&0&-4&-8\end{pmatrix}[/tex] [tex][ \ R_3 = R_3 + \frac{3}{7}R_2 \ ][/tex]
Therefore,
[tex]-4z = - 8\\\\z = 2[/tex]
[tex]-\frac{7}{2} y - \frac{7}{2}z = -\frac{7}{2}\\\\y + z = 1\\\\y + 2 = 1 \\\\y = 1 - 2 = - 1[/tex]
[tex]2x - 1y + 3z = 9\\\\2x -1(-1) + 3(2) = 9\\\\2x + 1 + 6 = 9\\\\2x = 9 - 7\\\\2x = 2 \\\\x = 1[/tex]
2) A block of ice weighs 12 400 kg. It has the shape of a cylinder, with a radius of 1.2 m and
a height of 3 m. What is the density of the ice? Give your answer to one decimal place.
Answer:
= 3.6
Step-by-step explanation:
Do you know how to find the volume of a cylinder? Like any prism, it's area of base x height, in this case the base is a circle of radius 1.2m.
Density is simply mass / volume (kg / m3 ).
clarify its 1.2 x 3 = 3.6
12400 / 3.6 = 3.444 occuring
A class of 30 students ate 9 pizzas. How many pizzas would be needed for 40 students?
Answer:
12
Step-by-step explanation:
The ratio is 9:30
So for 40 people , it would be ?:40
Find the number that, when multiplies, by 30, equals 40. This is 1 1/3, or 1.3333... So multiply 9 by 1 1/3: 9 * 1 = 9, 1/3 * 9 = 3. ( + 3 = 12, so 12 pizzas
Answer:
12 i think
Step-by-step explanation:
What is the equation of the line that is perpendicular to the line defined by the equation 2y = 3x + 1 and goes through the point (3, 2)?
options:
y = - 1/3 x + 3
y = -2/3x + 4
y = 1/3x – 1
y = 2x – 4
y = 6x + 5
Answer:
Step-by-step explanation:
In order to determine the perpendicular slope to the given line, we first need to determine the slope of the given line, which is not apparent in its current form. We need to solve the equation for y to determine the slope:
2y = 3x + 1 in slope-intercept form is
[tex]y=\frac{3}{2}x+\frac{1}{2}[/tex] . Therefore, the perpendicular slope, the opposite reciprocal of the given slope of 3/2 is -2/3. Passing through the point (3, 2):
[tex]y-2=-\frac{2}{3}(x-3)[/tex] and
[tex]y-2=-\frac{2}{3}x+2[/tex] so
[tex]y=-\frac{2}{3}x+4[/tex], the second choice down.
If line r is parallel to —- ?
Answer:
the correct answer is 10
What is the volume of the following rectangular prism? (please help)
Answer:
?
Step-by-step explanation:
i think ljhh ako naiintindihan
f(a)=|x-6|-|x+5|
evaluate
To finance the purchase of several new cars ,the Lincoln car rental agency borrowed $ 110 000 for 9 months at an annual interest rate of 5% . What is the simple interest due on the loan?
Answer: 4125
Step-by-step explanation:
S.I = P X R /100 X T
S.I = 110000 x 5/100 x 9/12 = 4125
= 4125
Answer:
Jhhhuujjjjhfuudjdjdjdjdirr
Kin travels 180 miles by train at an average speed of 90 mph.
Ayaan flies the same distance at an average speed of 720 mph.
Find the difference between their travel times.
Give your answer in hours.
Answer:
1.75 hours
Step-by-step explanation:
time = distance / speed
Kin
t = 180 / 90 = 2 hours
Ayaan
t = 180 / 720 = 0.25 hours
Difference
2 - 0.25 = 1.75 hours
Answer:
1.75
Step-by-step explanation:
Please help!! Will mark brainilest ☺️☺️
Estimate and classify the critical points for the graph of the function.
Answer:
Critical point is at (-1, 2) because it is the point where the slope is approximately zero.
Step-by-step explanation:
A critical point in a graph like this is simply the point where the slope is zero or undefined.
Looking at the graph given, the point at which the graph slope is zero is around the coordinate (-1, 2).
So we estimate that to be the critical point.
what is the answered
pp lssss answer
[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]
Optoion C. Categorial data set is the right answer of the question given.
RaonbowSalt2222
A geneticist conducts an experiment with peas, one sample of offspring consisted of 450 green peas and 157 yellow peas. Based on these results, estimate the probability of getting an offspring pea that is green.
Answer: 0.738
Step-by-step explanation:
11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value that was expected?
p0 = 428/(428 + 152) = 0.737931
If you round your answer of 0.737931 to three decimals you will
get 0.738.
Can someone help with this
Answer: 28
Step-by-step explanation: ADB = 1/2 ACB
Use Pythagorean Theorem to find each missing length
please help with the steps
Answer:
25 is A and 26 is B
Step-by-step explanation:
25) a²+b²=c²
missing side can be=b
to find the missing side subtract 6.7² from 12.6²
b²=12.6²-6.7²
b²=158.76-44.89
the square root of b²= the square root of 113.87
b=10.67
the missing side is equal to 10.7(1d.p)
26) a²+b²=c²
c= hypotenuse
10.8²+11²=c²
116.64+121=c²
c²=237.64
the square root of c²= the square root of 237.64
c=15.42(2d.p)
the hypotenuse is=15.4
The places that I have "the square root of" you must replace it with the square root sign. I'm using my phone so I wasn't sure how to insert a square root sign.
a cylindrical barrel (drum) contains 42 gallons of oil. the diameter of this barrel is 18 inches
determine the radius of a barrel (drum) in centimetre.
Answer: 1.345714286
Step-by-step explanation:
This is the full answer, if you want to round it up. Then your welcome to do so.
Given that abcd ~Jklm. Find the value of x, y, and z
Answer:
x = 7.2
y = 10
z = 6
Step-by-step explanation:
Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:
JK/AB = KL/BC = LM/CD = JM/AD
Substitute
12/x = y/6 = 15/9 = 10/z
✔️Find x:
12/x = 15/9
12/x = 5/3
Cross multiply
x*5 = 3*12
5x = 36
x = 36/5
x = 7.2
✔️Find y:
y/6 = 15/9
y/6 = 5/3
Cross multiply
y*3 = 5*6
3y = 30
y = 30/3
y = 10
✔️Find z:
15/9 = 10/z
5/3 = 10/z
Cross multiply
5*z = 10*3
5z = 30
z = 30/5
z = 6
What is the tens digit in the sum 7! + 8! + 9! + … + 2006!
You can get the tens digit of any number n by computing the quotient
(n (mod 100)) / 10
and ignoring the remainder.
Taking the given sum (mod 100) gives
7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)
since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,
• every term beyond 100! is obviously a multiple of 100
• every term beyond 25! contains a factor of both 4 and 25
• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)
The remaining sum is easy to compute by hand:
7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240
so the tens digit is 4.
which equation is the inverse of 5y+4=(×+3)^2+1/2?
Answer:
The inverse is -3 ±sqrt(5x+7/2)
Step-by-step explanation:
5y+4=(x+3)^2+1/2?
To find the inverse, exchange x and y
5x+4=(y+3)^2+1/2
Solve for y
Subtract 1/2
5x+4 -1/2=(y+3)^2+1/2-1/2
5x+8/2 -1/2=(y+3)^2+1/2-1/2
5x+7/2 = (y+3)^2
Take the square root of each side
±sqrt(5x+7/2) =sqrt( (y+3)^2)
±sqrt(5x+7/2) = (y+3)
Subtract 3 from each side
-3 ±sqrt(5x+7/2) = y+3-3
-3 ±sqrt(5x+7/2) = y
The inverse is -3 ±sqrt(5x+7/2)
What are the x-coordinates for the maximum points in the function f(x) = 4 cos(2x − π) from x = 0 to x = 2π? (1 point) Select one: a. x = 3 pi over 2 , x = π b. x = pi over 2 , x = 3 pi over 2 c. x = 0, x = 2π d. x = 0, x = π
9514 1404 393
Answer:
b. x = π/2, x = 3π/2
Step-by-step explanation:
The maximum is found where the argument of the cosine function is a multiple of 2π.
2x -π = 2nπ
2x = (2n+1)π . . . . . . . add π
x = (2n+1) · π/2 . . . . . divide by 2
x = {π/2, 3π/2}
A payday loan company charges a $90 fee for a $500 payday loan that will be repaid in 16 days.
Treating the fee as interest paid, what is the equivalent annual interest rate?
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
Interest amount paid on loan = $90
Principal value, amount borrowed = $500
Period, t = 16 days
The equivalent annual interest :
Using the simple interest formula :
simple interest = principal * rate * time
Using, days of year = 365
Plugging in the values into the formula :
90 = 500 * rate * (16/365)
90 = 500 * rate * 0.0438356
90 = 21.917808 * rate
Rate = 90 / 21.917808
Rate = 4.10 = 4.10 * 100% = 410%
If days of year = 360 is used :
90 = 500 * rate * (16/360)
Rate = 90 / 22.222
Rate = 4.05 = 4.105 * 100% = 405%
What is the value of the expression 3m-4.2 If m equals 2.1
Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
Defined the total variation distance to be a distance TV(P,Q) between two probability measures P and Q. However, we will also refer to the total variation distance between two random variables or between two pdfs or two pmfs, as in the following.
Compute TV(X,X+a) for any a∈(0,1), where X∼Ber(0.5).
TV(X,X+a) = ?
Answer:
1
Step-by-step explanation:
Computing Tv(X, X + a ) for any a∈(0,1)
Given that : X∼Ber(0.5)
∴ The probability mass function
P(X = 1 ) = 0.5
P(X = 0) = ( 1 - 0.5 )
and expectation E[X] = 0.5
hence ; TV ( X, X + a ) = 1
Can someone help me with this question please.
Answer:
40
Step-by-step explanation:
As the lawn size increases by 4 the weight increases by 8
Which point represents the value of -(-2) on the number line?
Answer:
2
Step-by-step explanation:
-(-2)
negative x negative always give positive .
=>2
You can easily represent 2 on number line
Which congruence statement is correct?