Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
A rectangle has a height of 3 cm and width of 5cm. A proportional rectangle has a height of 12cm. What would be the width?
Step-by-step explanation:
a proportional or similar shadow uses the same factor for each line/dimension.
so, since the height of the proportional rectangle is 4 times longer than the height of the original rectangle, then also the width must be 4 times longer.
heightP = 12 cm = f × height = f × 3 cm
f = 12/3 = 4
widthP = f × width = 4 × 5 = 20 cm
Integral of x"2+4/x"2+4x+3
I'm guessing you mean
[tex]\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx[/tex]
First, compute the quotient:
[tex]\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}[/tex]
Split up the remainder term into partial fractions. Notice that
x ² + 4x + 3 = (x + 3) (x + 1)
Then
[tex]\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52[/tex]
So the integral becomes
[tex]\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}[/tex]
We can simplify the result somewhat:
[tex]\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}[/tex]
If a= 2,b= -1,c= -3 and d = -2 evaluate the following Q1. ab-3b+4d , Q2. 5abd+3bc-2ax and Q3. 2(ab)^2+bc^2
Answer:
the answer for question 1 is -7
What type of angle is it
Answer:
acute
Step-by-step explanation:
Angles between 0 and less than 90 are acute
A 90 degree angle is right
Greater than 90 and less than 180 is obtuse
180 degree angles are straight
45 degrees is less than 90 so it is acute
Answer: acute
Step-by-step explanation: if angle is between 0 and 90 degrees, it is acute
Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
a. y = 6/x
b. y = -12x
c. y= -6x
d. y= -6/x
Answer:
[tex]\displaystyle \text{d. }y=\frac{-6}{x}[/tex]
Step-by-step explanation:
If two values [tex]x[/tex] and [tex]y[/tex] are inversely proportional, their product is always some maintained constant (the product of [tex]x[/tex] and [tex]y[/tex] is always maintained). This way, if one goes up, the other must go down by the same extent. By definition, this represents an inversely proportional relationship.
Therefore, we can simply find this constant by multiplying the given values of [tex]x[/tex] and [tex]y[/tex]:
[tex]xy=k,\\6\cdot (-1)=-6[/tex]
The constant [tex]-6[/tex] must be maintained as the product of [tex]x[/tex] and [tex]y[/tex] for all values of [tex]x[/tex] and [tex]y[/tex] for them to be inversely proportional. Thus, we have the equation:
[tex]xy=-6[/tex]
Divide both sides by [tex]x[/tex] to isolate [tex]y[/tex]:
[tex]\boxed{y=\frac{-6}{x}}[/tex]
Answer:
d. [tex]\displaystyle y = \frac{-6}{x}[/tex]
Step-by-step explanation:
The fastest way to do this is to simply plug in whatever the exercise gave to you into each answer choise to figure out which one fits the best.
I am joyous to assist you at any time.
66. Evaluate 4a2+3 when a=5
The sum of 5 abd twice a number
Answer:
5+2x
Step-by-step explanation:
) Find the value of 'x' and 'y' if ( 2x+3y,4) = ( 5 , 2y).
Answer:
x = -0.5
y = 2
Step-by-step explanation:
(2(-0.5)+3(2), 4) = (5, 2(2))
(-1 + 6, 4) = (5, 4)
(5, 4) = (5, 4)
brainiest to whoever right
Express the terms of the following geometric sequence by giving an explicit formula. 8 , -32 , 128 , -512 , 2,048 , ...
Answer:
8*(-4)^(n-1)
Step-by-step explanation:
The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).
If
a
=
−
5
x
a=−5x and
b
=
−
x
+
4
i
b=−x+4i, then find the value of
a
2
b
a
2
b in fully simplified f
Answer:
what to do which lesson of ath
Find LCM for the following usin devision method
a. 200
Answer:
l.c.m of 100,150,200
Step-by-step explanation:
how do you write 2 4/9 as a decimal
please help
4
2 --
9
Answer:
2.4 put a bar over the 4 because it is repeating
Step-by-step explanation:
22/9 =
22 divided by 9
equals
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
9514 1404 393
Answer:
$9072
Step-by-step explanation:
Put the given numbers in the given formula and do the arithmetic.
A = MN . . . . . . M = payment = $189. N = number of payments = 48.
A = $189 × 48 = $9072
The total amount paid is $9072.
PLEASE HELP!!!
Which graph represents the solution set of this inequality?
10c + 5 ≤ 45
Answer:
B
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
c ≤ 4
Interval Notation:
( − ∞ , 4]
Black Cab Taxi charges a $4.95 flat rate for a ride in the cab. In addition to that, they charge $0.49 per mile. Katie has no more than $20 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?
Answer:
30 miles.
Step-by-step explanation:
.5x + 5 > 20
x = 30
Please give brainliest if this helped you!
What is the difference?
2x+5 3x+ 5 X+ 1
x² – 3x X² – 9x x²-g
Answer:
(x + 5)(x + 2) / (x³ - 9x)
Step-by-step explanation:
We need to find a common denominator.
factor each denominator
x² - 3x = x(x - 3)
x³ - 9x = x(x² - 9) = x(x + 3)(x - 3)
x² - 9 = (x + 3)(x - 3)
As the factors of the first and third denominators are subsets of the second, the second is the LCD. This immediately eliminates the last two options as possible solutions.
Now we multiply each term by the missing factor over itself (1)
(2x + 5)(x + 3) - (3x + 5) - (x + 1)(x)]
(x² - 3x)(x + 3) (x³ - 9x) (x² - 9)(x)
[(2x² + 11x + 15) - (3x + 5) - (x² + x)] / (x³ - 9x)
[2x² + 11x + 15 - 3x - 5 - x² - x] / (x³ - 9x)
(x² + 7x + 10) / (x³ - 9x)
(x + 5)(x + 2) / (x³ - 9x)
A ray extends forever. True or false
false
false
false........
false
Answer:
it extends forever in one direction. so false i guess
Step-by-step explanation:
Help me in math please this is my last question btw
Answer:
A) y=-7
Step-by-step explanation:
we talking about the better pond right?
I will mark brainliest!!
Answer:
Fareed
Step-by-step explanation:
All the other people have complications that won't let them be on every floor, but Fareed can.
(root 5ab2) where a =5 and b= 2
sorry pls ignore this answer
but I think it's 10
[tex]\\ \sf\longmapsto \sqrt{5 {ab}^{2} } \\ \\ \sf\longmapsto \sqrt{5 \times 5 \times {2}^{2} } \\ \\ \sf\longmapsto \sqrt{25 \times 4 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]
PLEASE HELP
1= a-13/-6
Show your work in details if you can, I have a hard time understanding this.
Answer:a= 7
Step-by-step explanation:
Lines k and I are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.
What is the measure of angle DCE?
Α. 158
B. 73
C. 124
D. 22
Answer:
A. 158
Step-by-step explanation:
Angle ABC and Angle ECF have the same tick mark(little line over the angle). The means they are congruent, the same. Since Angle ECF + Angle DCE = 180 degrees, 180 - 22 is the measure of angle DCE, or 158. You're welcome, and brainliest me.
Wanted to add that this is not at all college math. This like middle school lvl bro.
Question 3 of 20
A rectangular school gym has a length of x + 14 and a width of x - 20. Which
measure does (x + 14)(x-20) represent?
A. The perimeter of the gym
B. The area of the gym
C. The height of the gym
D. The volume of the gym
SUBMIT
in this case, we are looking at a length × width equation. this equation gives you the area of the gym. so the answer is B.
Answer:
B
Step-by-step explanation:
L× w = area of a rectangle
. What is the total cost of 6 books at N8.50k each?
Answer:
51
Step-by-step explanation:
1 book= N8.50
therefore 6 books= N8.50 × 6 = N51
what is 0.112 times 7.2 and how to solve the problem
Answer:
0. 8064
Step-by-step explanation:
Look at the Image
What is the y-intercept of the graph of the equation ?
Answer:
Step-by-step explanation:
It is the point where the graph passes through the y-axis.
So if it passes through the point where y = 2, the y-intercept is (0, 2) - note the x coordinate is 0 at this point.
If we are asked to find the y-intercept of the graph of the equation y = 3x - 4
we put x = 0 and work out y as follows:
y = 3(0) - 4 = 0 - 4
y = -4
so the y-intercept is (0, -4).
What’s equivalent to this
Answer:
a^(m-n)
Step-by-step explanation:
We have
a^m / a^n
Exponent rules state that
a^m / a^n = a^(m-n)
can anyone plz with steps
[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]
[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]
[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]
[tex]\\ \sf\longmapsto\infty-\infty[/tex]
[tex]\\ \sf\longmapsto\infty[/tex]
in filing his income tax, raul reported annual contributions of $350 350 to a public radio station, $210 210 to a public tv station, $100 100 to a local food bank, and $294 294 to other charitable organizations what's the monthly expense?
Answer:
$79.50
Step-by-step explanation:
1. $350 + $210 + $100 + $294 = $954
2. $954 ÷ 12 = 79.50
Raul monthly expense is $79.50.
Here,
In filing his income tax, Raul reported annual contributions of $350 350 to a public radio station, $210 210 to a public tv station, $100 100 to a local food bank, and $294 294 to other charitable organizations.
We have to find Raul's monthly expense.
What is total amount?
A total is a whole or complete amount.
Now,
Raul's annual expense = $350 + $210 + $100 + $294
= $954
Hence,
Raul's monthly expense = 954/12
= 79.50
So, Raul monthly expense is $79.50.
Learn more about the total amount visit:
https://brainly.in/question/45320943
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