Answer:
9 cm
Step-by-step explanation:
First, we need to find the volume of the cylindrical water bottle. The volume of a cylinder is πr²h where r = radius and h = height. In this case, r = diameter / 2 = 6.5 / 2 = 3.25 and h = 21 so the volume is π * 3.25² * 21 = 221.8125π ≈ 696.84. Let's call the length of the cubic container s. The volume of the cube (which is s³) must be at least the volume of the water bottle, therefore:
s³ ≥ 696.84
∛s³ ≥ ∛696.84
s ≥ 8.86566
The smallest integer value that satisfies this is 9 cm.
what is another way to write -3 x (4 + 7)
[tex]\sqrt{8ux^{5} } \sqrt{2ux}[/tex]
Answer:
4ux³
Step-by-step explanation:
√8ux⁵ √2ux
√8*2 u*u x⁵*x
√16u²x⁶
4ux³
I need help with this is my last one
Answer:
1. Quadrant 2
2. Quadrant 1
3. Quadrant 2
4. Quadrant 4
5. Quadrant 4
6. Quadrant 2
7. Quadrant 2
8. Quadrant 3
Step-by-step explanation:
For this problem, we just need to follow the pattern of positive and negatives associated with each quadrant.
The first quadrant (+, +)
The second quadrant (-, +)
The third quadrant (-, -)
The fourth quadrant (+, -)
Using these patterns we can state what order pair correlates to which quadrant.
(-2.5, 2.1) --> Q2
(1/2, 3/4) --> Q1
(-10, 13) --> Q2
(2.5, -5.5) --> Q4
(9, -10) --> Q4
(-12, 3.4) --> Q2
(-5/8, 5) --> Q2
(-6.4, -6.3) --> Q3
Cheers.
how long will an object take to travel 4.8km at 48m/s
Answer:
Step-by-step explanation:
time=distance/speed
=4800/48
100
Answer:
[tex]\Huge \boxed{\mathrm{100 \ seconds}}[/tex]
Step-by-step explanation:
4.8 kilometers is 4800 meters.
[tex]\sf \displaystyle time \ (s) = \frac{distance \ (m) }{speed \ (m/s)}[/tex]
[tex]\sf \displaystyle t = \frac{4800}{48}[/tex]
[tex]\sf \displaystyle t = 100[/tex]
It will take the object 100 seconds.
Estimate the product of 41.03 x 0.513.
Answer
Roughly, it would be 20.5
The exact answer is 21.05
Step-by-step explanation:
To roughly get the estimate you round it to the nearest 1st decimal place in this case. So it'd be 41.0 x 0.5
If a and b are the zeroes of the polynomial x2 + 5x + 8, then the value of a2 + b2
is..............(Pls help)
Answer:
9
Step-by-step explanation:
If α and β are the zeros of ax² + bx + c = 0 , then
α + β = [tex]\frac{-b}{a}[/tex] ( sum of zeros ) and
αβ = [tex]\frac{c}{a}[/tex] ( product of zeros )
Given
x² + 5x + 8 = 0
with a = 1, b = 5, c = 8 , with zeros a and b, then
a + b = [tex]\frac{-5}{1}[/tex] = - 5
ab = [tex]\frac{8}{1}[/tex] = 8
Thus
(a + b)² = a² + 2ab + b² , that is
(- 5)² = a² + 2(8) + b²
25 = a² + 16 + b² ( subtract 16 from both sides )
9 = a² + b²
the base of a triangle is 3.4cm.the area is 20.74cm.find the height to 1 dp
Answer:
12.2 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 20.74 and b = 3.4 , thus
[tex]\frac{1}{2}[/tex] × 3.4 × h = 20.74 ( multiply both sides by 2 to clear the fraction )
3.4h = 41.48 ( divide both sides by 3.4 )
h = 12.2 cm
h = 12,2 cm
Step-by-step explanation:Area formula
A = b×h/2
20.74 = 3.4×h/2
41.48 = 3.4h
h = 41.48/3.4
h = 12,2 cm
Solve the equation
7x25=30
Answer:
x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)
Step-by-step explanation:
Solve for x:
7 x^25 = 30
Hint: | Divide by an appropriate factor to make the coefficient of x^25 equal to 1.
Divide both sides by 7:
x^25 = 30/7
Hint: | Take 25^th roots of both sides.
Taking 25^th roots gives (30/7)^(1/25) times the 25^th roots of unity:
Answer: x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)
1. 4x– 15 = 17 - 4x+10x
Help?
Answer:
x=-16
Step-by-step explanation:
4x– 15 = 17 - 4x+10x
4x+4x-10x = 17+15
-2x=32
-x=16
x=-16
How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many
Answer:
infinitely many
Step-by-step explanation:
12x + 1 = 3(4x + 1) - 2
Distribute
12x + 1 = 12x + 3 - 2
Combine like terms
12x+1 = 12x +1
Subtract 12x from each side
1 =1
Since this is always true, we have infinite solutions
Answer:
[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]
Step-by-step explanation:
[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]
Using distributive property.
[tex]\sf 12x + 1 = 12x+3 - 2[/tex]
[tex]\sf 12x + 1 = 12x+1[/tex]
Subtracting 1 from both sides.
[tex]\sf 12x=12x[/tex]
Dividing both sides by 12.
[tex]\sf x=x[/tex]
All real numbers are solutions.
There are infinite solutions.
Brody’s family took a road trip to the Grand Canyon. Brody fell asleep 65% of the way through the trip. If 35 sleep after they have travel 390 miles, what was the total length of the trip?
Answer:
Total length of the trip = 600 miles
Step-by-step explanation:
Given:
Distance travel during sleep = 65%
Distance travel during sleep = 390 miles
Find:
Total length of the trip
Computation:
Total length of the trip = Distance travel during sleep [100 / 65]
Total length of the trip = 390 [100 / 65]
Total length of the trip = 600 miles
Steve's lawn is 60 feet long and 40 feet wide.
He would like to reduce its size to one half
its original area. If he reduces the width to
30 feet, what should the new length be?
Answer:
40 feet
Step-by-step explanation:
60x40=2400
2400/2=1200
1200/30=40
v=pi r^2 h solve for pi
please help asap
will mark brainliest
Answer:
[tex]\pi=\frac{v}{hr^2}[/tex]
Step-by-step explanation:
So we have:
[tex]v=\pi r^2h[/tex]
And we want to solve for π.
First, divide both sides by h:
[tex]\frac{v}{h}=\pi r^2[/tex]
Now, divide both sides again by r²:
[tex]\pi=\frac{v}{hr^2}[/tex]
And this is our answer :)
Answer:
[tex]\frac{v}{r^{2} h} = \pi[/tex]
Step-by-step explanation:
Simply divide both sides by [tex]r^{2}h[/tex] to get pi by itself.
d = b^2 -4ac solve for a 2/3 (x-18y) = 6y solve for x
Answer:
a = [tex]\frac{b^2-d}{4c}[/tex]
x = 27y
Step-by-step explanation:
Order of Operations: BPEMDAS
Question 1
Step 1: Write out discriminant
d = b² - 4ac
Step 2: Subtract b² on both sides
d - b² = -4ac
Step 3: Divide both sides by -1
b² - d = 4ac
Step 4: Divide both sides by 4c
a = [tex]\frac{b^2-d}{4c}[/tex]
Question 2
Step 1: Write out equation
2/3(x - 18y) = 6y
Step 2: Distribute parenthesis
2/3x - 12y = 6y
Step 3: Isolate x by adding 12y on both sides
2/3x = 18y
Step 4: Divide both sides by 2/3
x = 27y
The liter (L) is a measurement of which of the following quantities?
Answer:
volume is the correct answer
Step-by-step explanation:
Identify the monomial: -5.12
A monomial
B binomial
C trinomial
D quadrinomial
Answer:
-5 times 12 is a binomial
Step-by-step explanation:
two terms = binomial
HOWEVER IF IT's -5.12 then it's a monomial because it's one term
The area of a rectangular football field is 7200m² while its perimeter is 360m. Calculate the;
dimension of the field
(60 m ; 120 m)
Step-by-step explanation:A = l×w = 7200m²
P = 2w + 2l = 360m
lw = 7200 => l = 7200/w
2(w + l) = 360 => w + l = 180
w + 7200/w = 180
w² + 7200 - 180w = 0
w² - 60w - 120w + 7200 = 0
w(w - 60) - 120(w - 60) = 0
(w - 60)(w - 120) = 0
w₁ = 60m => l₁ = 7200/60 = 120 m
w₂ = 120m => l₂= 60 m
Elias completely covered a square canvas using 77.8 in.² of fabric without any overlap. Which measurement is closest to the side length of this canvas in inches? A. 8 in. B.9 in. C. 19 in. D. 39 in.
Answer:
B. 9 in
Step-by-step explanation:
The area covered by the fabric ([tex]A[/tex]) is represented by the following formula:
[tex]A = l^{2}[/tex]
Where [tex]l[/tex] is the side length of the canvas, measured in inches, and which is now cleared:
[tex]l = \sqrt{A}[/tex]
If [tex]A = 77.8\,in^{2}[/tex], then:
[tex]l = \sqrt{77.8\,in^{2}}[/tex]
[tex]l \approx 8.82\,in[/tex]
Which corresponds to option B.
true or false if a x b=0 the either a=0 or b=0 pls help!!
Answer:
yes that answer is true
When the sum of a number and 5 is divided by 2, the results is 11. What is the number?
Answer:
17
Step-by-step explanation:
Let x = the number we have to find
From the given information, we have this equation:
(x + 5) / 2 = 11
<=> x + 5 = 11 . 2 = 22
<=> x = 22 - 5 = 17
Answer: 17
Step-by-step explanation:
I guess you would have to guess and check for this one.
17+5= 22
22/2 = 11
hope this helps
Can any kind soul draw answer this question
PLISSSSS!
Draw a Venn Diagram
Answer:
Please see attached picture for full solution.
(-14+3/2b)-(1+8/2b)
Answer:
[tex]\Large \boxed{\frac{-5}{2}b -15}[/tex]
Step-by-step explanation:
[tex]\displaystyle (-14+\frac{3}{2}b )-(1+\frac{8}{2} b)[/tex]
Distributing the negative sign to the terms in the bracket.
[tex]\displaystyle -14+\frac{3}{2}b -1-\frac{8}{2} b[/tex]
Grouping the like terms in the expression.
[tex]\displaystyle (-\frac{8}{2} b +\frac{3}{2}b) +(-1-14)[/tex]
Combining the like terms in the expression.
[tex]\displaystyle (\frac{-8+3}{2}b) +(-15)[/tex]
[tex]\displaystyle (\frac{-5}{2}b) +(-15)[/tex]
what value of x makes this inequality true?
x+9 < 4x
Answer:
X>3
Step-by-step explanation:
X+9<4X
x-x+9<4x-x
9<3x
3<x
Which expressions are equivalent to z+(z+6)
Answer:
It's 2 (z + 3)
5+2x=2x+6 please answer
If we firstly consider only the terms in x.
subtract 2x from both sides of the equation
⇒5+2x
−2x=2x−2x
+6
Observe that the x terms are eliminated and we are left with
5+0=0+6 that is 5=6 which is invalid
There is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
Given
5 + 2x = 2x + 6 ( subtract 5 from both sides )
2x = 2x + 1 ( subtract 2x from both sides )
0 = 1 ← not possible
Thus indicates the equation has no solution
Charmaine works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 6 hours of mowing and 1 hour of babysitting?
Answer:
Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.
Step-by-step explanation:
We must write the data problems.
Charmaine = $8.80/h mowing
Charmaine = $8.10/h babysitting
How much will Charmaine earn for 6 h mowing and 1 h babysitting?
1 h mowing ....................... $8.80
6 h mowing ....................... $x
x = 6 h mowing * $8.80
x = $52,8
To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.
$52,8 (from mowing) + $8.10 (from babysitting) = $60.90
If n-8=-3, what is 3n?
Greetings from Brasil...
Let's isolate N. For that we will pass the - 8 to the second member:
n - 8 = - 3
n = - 3 + 8
n = 5
3n = 15True or False? If false, explain why? All whole numbers are natural numbers.
Answer:It depends, many people do count 0 as a natural number, but MOST do not.
So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.
Answer:
false
Step-by-step explanation:
because the set of whole numbers starts from 0 whereas the set of natural numbers starts from 1 and so on
please help I will give brainliest
which expression is equivalent to 1.5(6x+3y)+2x-0.05y?
A.11x+4.45y
B.11x+5y
C.11x+2.95y
D.9.5x+4y
Answer:
The correct option is (a).
Step-by-step explanation:
We need to find the expression that is equivalent to 1.5(6x+3y)+2x-0.05y.
Firstly opening brackets as follows :
[tex]1.5(6x+3y)+2x-0.05y=1.5\times 6x+1.5\times 3y+2x-0.05y\\\\=9x+4.5y+2x-0.05y[/tex]
Now taking x terms and y terms together
[tex]9x+4.5y+2x-0.05y=(9x+2x)+(4.5y-0.05y)\\\\=11x+4.45y[/tex]
So, 1.5(6x+3y)+2x-0.05y is equal to 11x+4.45y.
please help!! Please give step by step so i can understand
Find p in the equation ( attached photo of the equation)
Answer:
p = - 14
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Note 81 = 9² and 729 = 9³
Given
[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]
= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]
= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]
= [tex]9^{-8-(6-3p)}[/tex]
= [tex]9^{-8-6+3p}[/tex]
= [tex]9^{3p-14}[/tex]
Thus
[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]
Since bases on both sides are equal then equate the exponents
4p = 3p - 14 ( subtract 3p from both sides )
p = - 14