Given :
A bathtub holds 80 gallons of water.
Water drains out of the tub at a rate of 2 gallons every thirty seconds.
To Find :
How many minutes will it take a full bathtub to drain completely.
Solution :
We know, 30 seconds = 0.5 minute.
Rate of water flow per minute is given by :
[tex]R = \dfrac{2}{0.5}=4 \ gallons/min[/tex]
Let, bathtub will completely drain in x minutes.
So, 4x = 80
x = 80/4
x = 20 minutes
Hence, this is the required solution.
Just answer correctly to get brainleist and 10 pts! :)
Answer:
B
Step-by-step explanation:
x is repeated
find the LCM and HCF of 110 and 220 by prime factorization, what do u observe
Answer:
GCF= 2 x 5 x 11 = 110
LCM= 2 x 2 x 5 x 11 = 220
Step-by-step explanation:
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
What is the distance between (4,-1) and (0,1)
Answer:
answer is in the image below
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
I need help please!!
Answer:
1
Step-by-step explanation:
The line goes through the point 1, so that will be the slope.
how to write thirty six thousanths in standard form
Answer:
36,000
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
because that's how you write it so yes do it please this is the answer s itch wi guy if i.p.o fallacy hallmark plz upload pda fool jsa xxl la all pda all jazz dlp jazz all
In ΔSTU, the measure of ∠U=90°, ST = 33 feet, and US = 20 feet. Find the measure of ∠T to the nearest tenth of a degree.
Answer:
37.3°
Step-by-step explanation:
sin β = [tex]\frac{20}{33}[/tex] ⇒ β = arcsin [tex]\frac{20}{33}[/tex] = 37.3°
The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.
Answer:
20, 24
Step-by-step explanation:
smaller: x
larger: 2x - 16
x + 2x - 16 = 44
3x -16 = 44
3x = 60
x = 20
smaller: x = 20
larger: 2x - 16 = 2(20) - 16 = 24
What percent of 202 is 34
Answer:
Result: 68.68
68.68 is 202% of 34.
Step-by-step explanation:
:
202% × 34 = 68.68
Hope it helps :)
Answer:
16.8%
Step-by-step explanation:
We can write this as: is over of equals percent over 100. We need the percentage, so we leave the percent part blank.
34 = p Multiply across: 34*100=3,400
202 100 Divide: 3,400/202=16.8 (rounded)
Hope this helps!! Have a great day C:
write the equation for the graph
[tex]y=|x+1|+2[/tex]
also that's a huge blank.
Somebody help me plzzZZZZ
Answer:
Step-by-step explanation:
9.
a1=-35
d=a2-a1=-28-(-35)=7
a35=a1+(35-1)7
=-35+34×7
=-35+238
=203
5 (5) - -2 =
( worth 10 points)
Answer:
I think 27 is the answer
I REALLY NEED HELP WITH ALL OF THESE!!
Label each type of slope ( Positive, Negative, Zero, Undefined)
Answer:
1. negative 2. zero 3 undefined 4 positive
Step-by-step explanation:
What is the slope to this one? Will give brainliest
Answer:
Negative Slope.
-7/5
Step-by-step explanation:
Decreasing from left to right.
x = 3- -2 = 5
y = -2 - 5 = -7
y = -7/5x + 11/5
Answer:
7/-5
Step-by-step explanation:
7. Find the slope of the line.
Answer:
5
Step-by-step explanation:
take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5
Help me if you can please
Answer:
the missing angle is 45
180-135=45
What is TR(39)?
pls help this is going to be on my exam...
Answer:
780
Step-by-step explanation:
So when you're adding consecutive numbers like this. 1+2+3...+39. You add 39 and 1. This is 40. 2+38 is 40. This is a pattern. Now, we do 40 multiplied by 39 and this will give you the number 1620. After this you would have to divide this product by 2. The answer will soon be 780.
Ms. Sacco is investigating the habitats of various animals. She starts scuba diving off the shores of Mexico. She dives to a depth of 65 feet. The next day she climbs a mountain at an elevation of 500 feet. What is her change in elevation?
Answer:500 ft.-65 ft.=435 ft.
Step-by-step explanation:435 ft. is your answer because the change of elevation goes down which means you subtract so I subtracted 500-65=435 feet
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
15 POINTS AND 5 STARS
Answer: b.
Step-by-step explanation:
Use the Binomial Theorem/Pascal's Triangle to expand (2a + 2b)^5
Answer:
32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5
============================================================
Explanation:
Let's use Pascal's Triangle
In the row that starts with 1,5,... we have the values 1,5,10,10,5,1
These will be the coefficients of the terms.
Let x = 2a and y = 2b
We want to expand out (x+y)^5
Using pascals triangle, we get the following expansion
(x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5
The numbers in bold are the coefficients 1,5,10,10,5,1 found earlier.
Note how the exponents for x start at 5 and count down to 0; while the y exponents start at 0 and count up to 5. For any term, the x and y exponents always add to 5 for the expansion of (x+y)^5. In general, the exponents of any term will add to n for (x+y)^n.
At this point, we plug in x = 2a and y = 2b
Since this will clutter things a bit, I'll do it term by term
1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^55x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^210x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^35x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^41x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5So in the end, the expression (2a+2b)^5 expands out to
32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5
The binomial theorem uses the same basic idea, but instead of using Pascal's Triangle to get the coefficients, you'll use the nCr combination formula.
Answer: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex].
Using Pascal's triangle we get:
[tex](x+y)^5 = 1x^5y^0+5x^4y^1+10x^3y^2+10x^2y^3+5x^1y^4+1x^0y^5[/tex]
Here, x = 2a and y = 2b
So the terms become:
[tex]1x^5y^0 = 1(2a)^5(2b)^0 = 1(32a^5)(1) = 32a^5\\5x^4y^1 = 5(2a)^4(2b)^1 = 5(16a^4)(2b) = 160a^4b\\10x^3y^2 = 10(2a)^3(2b)^2 = 10(8a^3)(4b^2) = 320a^3b^2\\10x^2y^3 = 10(2a)^2(2b)^3 = 10(4a^2)(8b^3) = 320a^2b^3\\5x^1y^4 = 5(2a)^1(2b)^4 = 5(2a)(16b^4) = 160ab^4\\1x^0y^5 = 1(2a)^0(2b)^5 = 1(1)(32b^5) = 32b^5\\[/tex]
Hence: [tex](2a+2b)^5 =32a^5+160a^4b+320a^3b^2+320a^2b^3+160ab^4+32b^5[/tex]
Learn more: https://brainly.com/question/13769924
Write the equation for a parabola with the focus at
(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
give an example of a rational number
Name the point of concurrency shown. Please please don’t answer if you don’t know it!!!
Answer:
Circumcenter
Step-by-step explanation:
Jeff has two sticker-printing machines. Each machine can print 42 stickers per minute. On day 1, only the first machine was used, and it printed 89 stickers. On the following day, the first machine printed for x minutes and the second machine printed for y minutes. Which expression shows the total number of stickers printed by both machines during these two days? (1 point) a 131x + 42y b 42 + 89x + y c 89 + 42x + 42y d 89x + 84y
Answer:
c 89+42x+42y
Step-by-step explanation:
On day 1 :
First Machine= 89 stickers
Second Machine= none
On day 2 :
First Machine= ? stickers ( if in 1min = 42stickers
x min=?
( x min/1 min × 42stickers)
=42x stickers.
Second Machine=?stickers ( if in 1min = 42stickers
y min=?
( y min/1 min × 42stickers)
=42y stickers.
Total = 89 + 42x + 42y
simplify each expression
(e^2)(g)(g^4)(e^3)
(e)(e^2)(e)
9514 1404 393
Answer:
e^5g^5e^4Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
[tex](e^2)(g)(g^4)(e^3)=e^{(2+3)}g^{(1+4)}=\boxed{e^5g^5}\\\\(e)(e^2)(e)=e^{(1+2+1)}=\boxed{e^4}[/tex]
Plz answer these two and I will give you brainliest
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
3
..
4) through: (-2,5), slope
2.
Answer:
y - 5 = 2(x + 2)
General Formulas and Concepts:
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate
y₁ - y coordinate
m - slope
Step-by-step explanation:
Step 1: Define
Slope m = 2
Point (-2, 5)
Step 2: Create equation
y - 5 = 2(x + 2)
HELP QUICK PLEASE!!
What ingredients are you unable to use in a stir-fry dish? WHY?