Answer:
51 cubic units
Step-by-step explanation:
[tex]3x+2y+z=12\\\Rightarrow z=12-3x-2y[/tex]
Now we integrate over volume integral over the range [tex]R = \{(x,y) | 0\le x \le {1}, -{2} \le y \le {4} \}[/tex]
[tex]V=\int_0^1\int_{-2}^4 12-3x-2y dydx\\ =\int_{-2}^4 12y-3yx-y^2|_4^{-2} dx\\ =\int_{0}^1 12\times4-3\times4x-16-[12\times-2-3\times-2x-4]dx\\ =\int_{0}^1 60-18xdx\\ =60x-9x^2|_{0}^1\\ =60-9\\ =51\ \text{cubic units}[/tex]
The volume of the solid is 51 cubic units.
8)
Erica chooses a number. She divides it by four then subtracts 11. She then divides this
result by two. Her answer is 12.5. What was the number she started with?
Step-by-step explanation:
Let x be the number.
Divide it by 4
x/4
Subtract 11
x/4 - 11
x-44/4
Divides this result by 2
x-44/4 ÷ 2
x-44/4 × 1/2
x-44/8
Her answer is 12.5
x-44/8 = 12.5
x-44 = 12.5 × 8
x = 100 + 44
x = 144
Hence,
She started with 144 number.
write an equation for the line below
Answer:
y = -X + 4 is the equation for the line below
Why can't a whole number be irrational? Please dumb it down for me
Answer and Step-by-step explanation:
A whole number isn't irrational because it is a whole number. Confused? Most likely.
A whole number is any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives. Example: 5, 49 and 980 are all whole numbers.
An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
These are both real numbers because they don't go through the 4th wall (of science/math)
Imaginary numbers would use i.
A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details
Answer:
[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]
Find the reciprocal of 10 1/2!
Answer:
2/21
Step-by-step explanation:
10 1/2=21/2 and then flip it
the slope of a hill 3/190. The Hill has a ride of 400m. What is the horizontal distance covered by the hill?
Answer:
its 5
Step-by-step explanation:
The hill with a rise of 400m and a slope of 3/190 covers approximately 25333.33 meters horizontally.
Slope is a term used to describe how steep or inclined a line is on a graph. It shows the proportion of the rise to the run or vertical change, between any two points on a line. The slope is a fundamental idea in geometry, algebra and calculus; it shows how much the line rises or falls for each unit of horizontal distance. A slope of zero denotes a horizontal line while positive slopes denote upward inclines, negative slopes denote downward inclines, and vice versa.
Slope = rise / run
Given that the slope of the hill is 3/190 and the rise is 400m, we can set up the equation:
3/190 = 400 / run
run = 400 / (3/190) = 400 × (190/3)
= 400 × 63.33 ≈ 25333.33 meters
the horizontal distance covered by the hill is approximately 25333.33 meters.
learn more about slope here
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can you explain the standard form of a line in algebra 1 ?
express the polynomial 5x^2+8x^5-3^3+4-9x in standard form
Answer:
The answer is 8x^5 + 5x^2 + 9x − 31
Bone-shaped treats are 5 for $3.50 at Shelley’s store and Sarah wants to buy 12. She set up and solved this proportion to find how much they would cost. Describe her error and find the correct solution.
5
3.5
=
12
x
3.5x = 60
x = $17.15
Answer:
Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.
Step-by-step explanation:
0.2-0.3 what is the midpoint?
Answer:
0.25
Step-by-step explanation:
Find the difference: 4.203 - 0.01
Answer:
4.193
Step-by-step explanation:
you line up the decimals then subtract to get 4.193
can someone help me? The question is the picture below. 30 POINTS!!!
Answer:
Hope that helps! (ignore this, I just need more characters lol)
hello please help will give brainliest!
Answer:
420
Step-by-step explanation:
Answer:
A. 420
Step-by-step explanation:
nice
help please its important
Answer:
DBYesStep-by-step explanation:
x: cupcakes
y: cakes
no more than 224 minutes: ≤ 224, average 4 minutes cupcakes: 4x and average 32 minutes cakes: 32ywhen you plug in the 4 cakes as y it becomes x≤24....4x+32(4)≤224...(4x+128≤224)-128....(4x≤96)/4...x≤24when you plug in the given numbers it is a true statement.... 4(32)+32(3)≤224...128+96≤224....224≤2249514 1404 393
Answer:
1. d. 4x +32y ≤ 224
2. b. x ≤ 24
3. yes
Step-by-step explanation:
1. For x number of cupcakes, at 4 minutes each, the time required for their decoration is 4x.
For y number of cakes, at 32 minutes each, the time required for their decoration is 32y.
The total decorating time must be less than or equal to 224 minutes:
4x +32y ≤ 224
__
2. For y=4, the constraint on x is ...
4x +32(4) ≤ 224
4x ≤ 96
x ≤ 24
__
3. We can try the numbers and see if the inequality is true:
4(32) +32(3) ≤ 224
128 +96 ≤ 224 . . . . . . . . true (equal)
Yes, it is possible.
Solve the following inequality.
−1
Answer:
any thing, not 1 or -1
Step-by-step explanation:
the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero
what is the value of x^2+4 for x=5
Answer:
25+4=29
thats your answer
PLEASE MARK AS THE BRAINLIEST
Answer:
29
Step-by-step explanation:
x^2+4
Let x= 5
5^2 +4
25+4
29
NEED HELP ASAP IF NOT I WILL FAIL. I WILL MARK YOU AS MOST BRAINIEST
When 2-Brothers Plumbing Company comes to
your crib, they charge a flat rate of $55 plus $58
per hour.
Let x = # of hours
Let y = the total amount of money they charge.
Write the equation for this scenario. When Mario
is giving you a thumbs up, you have succeeded!
Which is equal to –214°?
Answer:
B
Step-by-step explanation:
Convert from degrees to radians using ratio pi/180. -107pi/90 radians would be the answer. Also edg. 2020
-107pi/90 radians is equal to -214degree.
We have to determine which is equal to –214°
Convert from degrees to radians using the ratio.
How to convert a degree into a radian?
To convert the value of the angle in degree, to its equivalent radians, we need to multiply the given value by π/180.
pi/180.
-107pi/90 radians is equal to -214degree
To learn more about the angle visit:
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Which phrase matches the algebraic expression below? (1 point)
3(x + 7) + 10
Answer:
Add 10 to three times the value of x minus 7.
Step-by-step explanation:
Answer:
Three times the difference of X and seven plus ten
Step-by-step explanation:
Which of the following is equal to 1/2 or -1/2? Check all that apply.
sin(7pi/6)
Sin(4pi/3)
Cos(5pi/3)
Cos(pi/6)
Cos(5pi/6)
Sin(5pi/6)
Answer: ITS A, C, F
Step-by-step explanation:
I JUST DID IT ON EDG 2020
Answer:
A
C
F
Step-by-step explanation:
Find the values for x so that the perimeter of this rectangle is no greater than 150 centimeters
Which of the following is the radical expression of?
Answer:
The third answer
Step-by-step explanation:
Remember power over root and the 2 would not be under the root.
Answer:
the third one
Step-by-step explanation:
Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did Keith start with?
please help!!!
Answer:
52 cards
Step-by-step explanation:
call the amount he started with " x "
then he bought 8 cards
so the new equation is
x+8
then he lost half of his cards
so now the equation is
(x + 8 )/2
that amount to 30 cards as per what is given in the problem
so now the equation is
( x + 8 )/2 = 30
solve using inverse operations and simplifying
( x + 8 )/2 = 30
*2 *2
x + 8 = 60
-8 -8
x = 52
What is the answer in a short sentence
Answer:
HI
Step-by-step explanation:
At this point I’m just going to start singing songs ! For the caption
Answer:
[tex]the \: value \: is \:0.5 \: i.e\: option\:b[/tex]
Answer:
.50
Step-by-step explanation:
I am pretty sure
Graph the function y = -1x +3.
Answer:
draw a point at the (0,3). That is your y intercept and now go down one and over to the right 1 time. Continue this process and connect the dots
that is your line
Step-by-step explanation:
3 new tires for $210; 4 new tires for $250
What is the place value of 7 in 0.724 rounded.
The place value of 7 in 0.724 = 7 tenths or 7/10 or 0.7
The place value of 2 in 0.724 = 2 hundredths or 2/100 or 0.02
The place value of 4 in 0.724 = 4 thousandths or 4/1000 or 0.004
Therefore , the place value of 7 in 0.724 is 7 tenths or 7/10 or 0.7 ( as all are the same ) .
what is the value of 2/3 rs if r= -6/7 and s= --3/10
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[tex]r = - \frac{6}{7} \\ [/tex]
[tex]s = - \frac{3}{10} \\ [/tex]
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[tex] \frac{2}{3} rs = \frac{2}{3} \times ( - \frac{6}{7} ) \times ( - \frac{3}{10} ) = \\ [/tex]
[tex] \frac{3 \times 2 \times 3 \times 2}{3 \times 7 \times 5 \times 2} = \frac{2 \times 3}{7 \times 5} = \frac{6}{35} \\ [/tex]
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(9, - 4) and (5, 3) In simplest radical form
Answer: 33
Step-by-step explanation:
(9,-4) and (5,3)
=9*5+(-4)*3
=33