Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
Yes, Hank will have the pool drained in time.Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")Available time = 360 minutesNow we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
Volume of the pool = Deep * Long * WideVolume of the pool = 2 m * 10 m * 8 mVolume of the pool = 160 m^3Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
1 m^3 = 264.172 galNow, we use a rule of three:
If:
1 m^3 ⇒ 264.172 gal160 m^3 ⇒ xAnd we calculate:
[tex]x = \frac{160 m^{3}*264.172 gal }{1m^{3} }[/tex] (We cancel the unit "m^3)x = 42267.52 galAt last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
Time to drain the pool =[tex]\frac{42267.52gal}{130\frac{gal}{min} }[/tex](We cancel the unit "gallon")Time to drain the pool = 325.1347692 minutesTime to drain the pool ≅ 326 minutes (I approximate to the next number because I want to assure the pool is drained in that time)As we know, Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes.
Factor the polynomial 3X² + 5X - 2.
Answer:
(x+2)(3x-1)
Step-by-step explanation:
3x^2 + 5x -2
we need two numbers which gives 6 when multiplied and 5 when subtracted.
so the numbers are 6 and 1 because 6*1=6 and 6-1 =5.S0,
3x^2 + (6-1)x -2
3x^2 +6x -x -2
take common from first two terms and from third and fourth term
3x(x+2) -1(x+2)
take (x+2) as common
(x+2)(3x*1 -1*1)
(x+2)(3x-1)
Two tangents are drawn to a circle from an external point. If the measure of the major arc is 260º, what is the measure, in degrees, of the angle formed by the two tangents?
Answer:
80degrees
Step-by-step explanation:
Using the expression to get the minor arc;
minor arc + major arc = 360degrees
minor arc + 260 = 360
minor arc = 360 - 260
minor arc = 100degrees (central angle)
Note that the central angle and that formed from the intersection of the tangents (X) are supplementary. Hence;
100 + X = 180
X = 180 - 100
X = 80degrees
Please help with these problems!!!
Answer:
12345678901234567890
For which set of numbers is the number 4 a common multiple?
A
B.
C.
D.
4.8 and 16
2.4 and 8
1, 2 and 4
0 and 4
ОА
Answer:
A is the answer
Step-by-step explain
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is O A.4.8 and 16.
hope this helps,have a great day!!
~Pinky~
Place the following linear equation in slope intercept form: 6x - 4y = 9
Answer:
y = 3/2 x - 9/4
Step-by-step explanation:
bring all the y's to one side.
4y = 6x-9
divide by 4 to isolate the y
y = 6/4x - 9/4
simplify
y = 3/2 x - 9/4
Answer:
y = (3/2)x - 9/4
Step-by-step explanation:
Slope intercept form is
y = mx + b
------------------
6x - 4y = 9
subtract 6x from both sides
-4y = -6x + 9
Divide both sides by -4
y = (3/2)x - 9/4
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Answer:
4(x^2 +4x-1)
Step-by-step explanation:
4x^2+16x-4
Factor out a 4
4(x^2 +4x-1)
Answer:
D. 4 ( x² + 4 x - 1 )
Step-by-step explanation:
4 x ² + 16 x - 4
Taking out common factor = 4
4 ( x² + 4 x - 1 )
the sum of two integers is 310. if one of them is - 52. find the other
Answer:
Integer = 362
Step-by-step explanation:
Let the two integers be x and y
Sum of two integers, x + y = 310 ------(1)
Given one of the integer, Let x = -52
Substitute x = -52 in (1) ,
-52 + y = 310
y = 310 + 52
y = 362
- Find the equation of the line in slope-intercept form that passes through the points (8,4) and (4,0)
Answer:
y = 1x - 4
Step-by-step explanation:
y2 - y1 / x2 - x1
0 - 4 / 4 - 8
-4 / -4
1
y = 1x + b
0 = 1(4) + b
0 = 4 + b
-4 = b
HELPPPPPPPPPPPPPPPPPPP ASAP!!!!!!
Answer:
there is 8 quadrilateral shapes
Find the equation of a vertical line passing through the point B(2,-1)
Answer:
x = 2
Step-by-step explanation:
In a vertical line, all x-coordinates are the same.
x = 2
Answer:
x =2
Step-by-step explanation:
A vertical line means the x value remains constant
The x value is 2
x =2
Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?
Answer:
85.7 ounces.
Step-by-step explanation:
428.5/5 = 85.7
Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.
Answer:
85.7 ounces
Step-by-step explanation:
428.5 ounces ÷ 5=85.7 ounces
What is the sum of 7x2 − 3x + 5 and 8x + 2?
This figure is known as a triangular prism. Find the surface area in square feet.
10 ft
3 ft
7 ft
8 ft
CAN I GET THE REAL ANSWER I NEED THIS 100% MY MOM IS GOING WHOOP ME TILL I GOT 10 STAINS ON MY BUTT AND LEGS PLEASE HELP
Answer:
Haha sure mate! Its 116 :) Your thing is wrong but I would select 106 because it seems like a more reasonable mistake
Step-by-step explanation:
Give me braiest answer if I saved you a whooping
Answer:
The answer to your question is 244 degrees
Step-by-step explanation:
Simply add 60, 90, 82, and 12 to get 244 degrees.
Find the area of a quadrilateral wxyz with wx =24m, xy= 50m, yz = 40m, zw = 30m and diagonal being 50m
Answer:
The area of the quadrilateral is 1,182.46 m2.
Step-by-step explanation:
In order to find the area of a quadrilateral WXYZ, with WX=24m, XY=50m, YZ=40m, ZW=30m and the diagonal being 50m, the following calculation has to be done:
X = 0,5 24 × 30 × sen 24 + 0,5 × 50 × 40 × sen 40
X = 1,182.46 m2
PLEASE SOMEONE HELP ME I WILL GIVE BRAINLIEST
For the function f(x)= |x+2| -3 , explain the difference between f(2x) and 2f(x). Comparing the y-intercept , x-intercepts
Answer:
For a function f(x), the y-intercept is the value of f(0), while the x-intercepts are the values of x such that:
f(x) = 0.
Here we can also start with some information about dilations.
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x)
While, again, for a function f(x), an horizontal dilation of scale factor k is written as:
g(x) = f(x/k)
So when here they ask us the difference between f(2x) and 2f(x)
We can say that the first one is a horizontal dilation of scale factor 1/2, while the second is a vertical dilation of scale factor 2.
Now let's analyze the intercepts for each case.
if f(x) = |x + 2| - 3
2*f(x) = 2*(|x + 2| - 3)
= 2*|x + 2| - 6
The y-intercept is:
2*f(0) = 2*|0 + 2| - 6 = 4 - 6 = -2
and the x-intercepts are given by:
2*f(x) = 0 = 2*|x + 2| - 6
6 = 2*|x + 2|
6/2 = |x + 2|
3 = |x + 2|
Here we have two solutions for x,
x = 1: 3 = |1 + 2| = |3| = 3
x = -5: 3 = |-5 + 2| = |-3| = 3
Now for the other transformation, we have:
f(2*x) = |2*x + 2| - 3
the y-intercept is:
f(2*0) = |2*0 + 2| - 3
= |2| - 3 = -1
(So the y-intercept is different)
And the x-intercepts are given by:
f(2*x) = 0 = |2*x + 2| - 3
3 = |2*x + 2|
3 = 2*|x + 1|
3/2 = |x + 1|
Here the two solutions are:
x = 1/2
x = -5/2
So the x-intercepts are also differents.
This happens because in one case, we affect the function horizontally and in the other case vertically, so one could expect that the resulting functions are different (thus, have different intercepts)
According to exponent rules, when we divide the expressions we
exponents.
In the decimal expansion of the fraction 1/13, what digit is in the 2021st decimal place?
please answer correctly (full answers)
Answer:
2
Step-by-step explanation:
1/13 = 0.07692307692307
1/13 has a 6 place repeating decimal
076923 076923
2021/6 = 336 5/6
There will be 336 complete sets and then
2021 will be the 5th place of 076923
The cost of a High Definition television now averages $700, but the cost is decreasing about 15% per year. In how many years will the cost be under $200?
Answer: 7.7 years
Step-by-step explanation:
Given
The cost of HD TV is $700 and it is decreasing at the rate of 15% per year
After one year it becomes
[tex]\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)[/tex]
after 2 year it becomes
[tex]\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2[/tex]
Suppose, after x years it becomes $200
[tex]\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}[/tex]
Thus, it takes 7.7 years for the cost to come under $200.
(-6)(4) preform indicated operation
Answer:
-24
Step-by-step explanation:
(-6)(4)
The indicated operation is multiplication
-24
Answer:
-24
Step-by-step explanation:
Multiply -6 and 4
Jeremy uses 2 feet 3 inches of board for each birdhouse he builds. How many inches of board does he need to make 6 birdhouses? Use a number line to solve?
Answer:
The length of board required is 13 feet 6 inches .
Step-by-step explanation:
Board required to make one bird house = 2 feet 3 inches
= 2 x 12 + 3 = 27 inches
Number of bird houses = 6
So, the board required
= 6 x 27 = 162 inches
13.5 feet = 13 feet 6 inches
REAL ANSWER FOR BOTH OF THEM PLEASE THERES MORE POINTS ON THIS ONE
Answer:
the answer to your first question is 235 degrees or B
the answer to your second question is 83 degrees
Step-by-step explanation:
for the first question simply add all of the angles
for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees
A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of 1 point
selecting a red marble, replacing it, and then selecting another red marble?
Answer:
the probability of getting red marbles=
4/8=1/2
Step-by-step explanation:
Solve 3n – 5p + 2n = 10p for n.
Answer:
n = 3p
Step-by-step explanation:
3n−5p+2n=10p
5n−5p+5p=10p+5p
5n=15p
5n/5 = 15p/5
n = 3p
Answer:
3n+2n=10p+5p
5n=15p
Divide both sides by 5
n=3p
jakie długości mają boki równobocznego, którego wynosi 18cm???klasa 5 PLZZ NA SZYBKO :(((((
Answer:
Boki tego trójkąta mają 6 cm.
Step-by-step explanation:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 11 feet by 11 feet by 2 inches for a patio if the concrete costs $46.00 per cubic yard?
Answer:
$34.04
Step-by-step explanation:
The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards
We need to find the cost to pour a slab.
We know that the volume of a cuboid shape is given by :
V = lbh
Put all the values,
V = 3.67 × 3.67 × 0.055
V = 0.74 yards³
Cost,
C = $46 × 0.74
C = $34.04
Hence, the required cost is equal to $34.04.
will mark brainliest
show workings
Answer:
a) 20 km away fro the starting point.
b) The bearing from P to R is 80°.
c) Q is 60 km North P.
d) Q is - 60 km west of P
Step-by-step explanation:
Stating Facts in the Question:
P to Q is 80 km and bearing 330°
It turned around, Q to R is 60 km and bearing 250°.
a) Picture a number line (Look at the first image)
You go 80 to the right. You turn around and go 60 to the left.
80 - 60 = 20
20 km away fro the starting point
b) Picture a number line (Look at the second image)
P to Q is bearing 330°
Q to R is 60 km is bearing 250°
P to Q is red
Q to R is blue
330° - 250° = 80°
The bearing from P to R is 80°
c) P to Q is 60 km
The plane went forward or North so the answer is 60 km.
Q is 60 km North P.
d) Q to P is 60 km
Q is not to the west of P
Q is - 60 km west of P
If P = (-3,5), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [
[]
Enter the number that belongs in
the green box
Answer:
(-5 , -3)
Step-by-step explanation:
use formula of 90 degree counterclockwise rotation about the origin
formula:
(x , y) = (-y , x)
(-3 , 5) = (-5 , -3)
The required coordinate of the point after 90° clockwise rotation is (-5, -3).
What does it mean by rotation?A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.
The given coordinate of the point is (-5, -3).
Counterclockwise rotation about the origin is given as,
(x , y) = (-y , x)
(-3, 5) = (-5 , -3)
Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).
Learn more about rotation here:
https://brainly.com/question/1571997
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[tex]\huge\mathfrak\red{please \: solve \: } \\ \\ {\huge{\underline{\bf{\green{factorise: - }}}}} \\ \\ {\huge{\boxed{\sf{\purple{2x {}^{2} + 9x + 10 }}}}}[/tex]
Answer:
(x + 2)(2x + 5)
Step-by-step explanation:
2x^2 + 9x + 10 =
This is a trinomial of the form ax^2 + bx + c, where a is not 1.
Step 1: Try to factor out a common factor.
In this case, there is no common factor in all terms.
We will now factor by grouping.
Step 2. Find the product ac.
ac = 2 * 10 = 20
Step 3. Find two factors of ac whose product is ac and whose sum is b.
In this case, we need two numbers whose product is 20 and whose sum is 9.
Those numbers are 4 and 5.
Step 4. Break up the middle term using the two numbers we just found.
9x becomes 4x + 5x
Now we have
= 2x^2 + 4x + 5x + 10
Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.
= 2x(x + 2) + 5(x + 2)
Finally, factor out the common factor, x + 2.
= (x + 2)(2x + 5)
Answer: (x + 2)(2x + 5)