Answer:
Step-by-step explanation:
h = 5 ft
diameter = 2.4 ft
Radius is half of diameter
r = 2.4/2 = 1.2 ft
Now, find the volume of the tank
Volume = πr²h
= 3.14 * 1.2 *1.2 * 5
= 22.608 cubic ft
Time taken to fill the tank = Volume of tank ÷ volume of gas filled per minute
= 22.608 ÷ 2.3
= 9.8
= 10 minutes
Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.
Answer:
Sally is correct
Step-by-step explanation:
[tex]\frac{b}{12} =16[/tex]
to solve for b we can multiply both sides by 12 to get b alone.
b = 16 × 12
b = 192
Find the volume of the sphere. Radius is 1
Hi there!
[tex]\large\boxed{V = 4/3\pi \text{ or } \approx 4.19 \text{ } units^{3}}[/tex]
Find the volume of a sphere using the following equation:
V = 4/3πr³
Substitute in the given radius:
V = 4/3π(1)³
V = 4/3π or ≈ 4.19 units³
Answer:
32/3π on khan academy
Step-by-step explanation:
What is the product of (t – 4) (t? + 2t - 6)?
Answer:
Step-by-step explanation:
(t - 4) (t + 2t - 6)
= t2 + 2t2 - 6t - 4t - 6t + 24
= Solving like terms
= 3t2 - 16t + 24
Brainlest and points !! Picture included
Devonte is 7 years older than Hanna. In 7 years the sum of their ages will be 83. How old is Devonte now?
Answer:
Hannah = 34 and 1/2
Devonte = 41 and 1/2
Step-by-step explanation:
Hanna = x
Devonte = x+7
x+x+7=83-7
2x+7=76
2x=76-7
2x=69
x=34.5
Hannah = x = 34.5
Devonte = x+7 = 41.5
What is the value of X PLEASE HLEPPP
Answer:
Using the formula,(x= base×height).
And the formula, (6+6×).
The answer should be: (A) 12
Step-by-step explanation:
Hope this helps! Have a good day/or night!
P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
An atom of gold has a mass of approximately 3.25 x 10-22 grams. What is the mass of
7000 atoms of gold? Express your answer in scientific notation.
Find the value of x
Answer: 38
Step-by-step explanation:
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet
The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of every three dimensional objects.
In given problem, we have two rectangular prisms
One has sides (1 feet, 3 feet, 3 feet)
Another one has sides (2 feet, 7 feet, 7 feet)
Volume of a rectangular prism = Length×Height×Width
Volume of a rectangular prism 1 = 3×1×3 = 9
Volume of a rectangular prism 2 = 7×2×7 = 98
Total Volume = 107
Hence, Total dirt required 107 cubic feet
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What is the volume? 3 m 1 m cubic meters
Answer:
9 cubic meters
Step-by-step explanation:
V = lwh
V = 1 by 3 by 3
Answer:
9 cubic meters
Step-by-step explanation:
1x3x3=9
What is the approximate value of this logarithmic expression?
9514 1404 393
Answer:
B. 1.80
Step-by-step explanation:
The change of base formula can be used.
[tex]\log_5(18)=\dfrac{\log{18}}{\log{5}}\approx\dfrac{1.25527}{0.69897}\approx1.7959\\\\\boxed{\log_5{18}\approx1.80}[/tex]
_____
Some calculators can compute the value for you directly.
which models represent 1/4÷6 choose all correct answers
Answer:
[tex]\dfrac{1}{24}[/tex]
Step-by-step explanation:
We need to find the value of 1/4÷6.
It can be done as follows :
[tex]\dfrac{\dfrac{1}{4}}{6}[/tex]
We know that, [tex]\dfrac{\dfrac{1}{x}}{y}=\dfrac{1}{xy}[/tex]
We have, x = 4 and y = 6
So,
[tex]\dfrac{\dfrac{1}{4}}{6}=\dfrac{1}{4\times 6}\\\\=\dfrac{1}{24}[/tex]
So, the final answer is equal to [tex]\dfrac{1}{24}[/tex].
PLEASE HELP!! 30 POINTS
Answer:
I think it is A I did the math but not all the way convinced
Step-by-step explanation:
Which expression is equivalent to -6(3 + 4x)?
Answer:
A
Step-by-step explanation:
may I have brainllest
Answer:
A
Step-by-step explanation:
How do you do the half and sum of the equation?
Answer:
13x - 4
Step-by-step explanation:
Hi,
5(3x -1)
-1/2(4x - 2)
To add...
5(3x - 1) + -1/2(4x - 2)
15x - 5 - 2x + 1
13x - 4
That's your answer :)
I hope this helps!
Select which correctly describe the 92% confidence interval. (Select all that apply.)
a. We are 92% confident that the mean height of the entire business is larger than this interval.
b. The upper height represents the 92nd percentile.
c. We are 92% confident that the mean height of the entire business is in this interval.
d. The 92% confidence interval is a subset of the 85% confidence interval.
e. We are 8% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
d. 92 employees have heights in this interval.
e. 92% of employees have heights in this interval.
Answer:
c. We are 92% confident that the mean height of the entire business is in this interval.
f. The 85% confidence interval is a subset of the 92% confidence interval.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Margin of error:
The larger the confidence interval, the larger the margin of error. That means that for example, an 85% confidence interval is a subset of the 92% confidence interval.
In this question:
92% confidence interval -> We are 92% sure that the population mean is in this interval.
The 85% confidence interval is a subset of the 92% confidence interval.
So options c and f.
In ΔIJK, the measure of ∠K=90°, KJ = 63, IK = 16, and JI = 65. What ratio represents the sine of ∠I?
The figure shows a pentagon. The length of each side is given
as shown. Find the perimeter of the pentagon in terms of w.
Please help !!
Answer:
perimeter = sum of all side
perimeter in terms of w= w+w+w+w+w
i.e= 5w
If , p x 6= 36 what is p? A. 1/6 B. 6 C. 216 D. 180
PLEASSEEEEEE
Answer:
6
Step-by-step explanation:
All you need to do is the inverse operation: 36 divided by 6, which is 6!
Jasmine and Olivia each have a bracelet collection.
The number of bracelets in Jasmines collection is represented by x.
The number of bracelets in Olivia's collection is 4 times the number in Jasmines collection
The total amount of bracelets in both collections is 45
What is x, the amount of bracelets in Jasmines collection?
Answer:
x = 11.25
Step-by-step explanation:
4x=45
divide 4 from both sides
4/4 x = 45/4
x= 11.25
Answer:
x= 11.25
Step-by-step explanation:
4x = 45
4 * 45/4= 45
45=45
What is the quotient when (x+ 2) is divided into the polynomial 2x2 - 2x - 12?
O A. 2x-5 with no remainder
O B. X+ 3 with a remainder of -2
O C. 2x-3 with a remainder of 5
O D. 2x-6 with no remainder
Answer:
2x² - 2x - 12 ÷ (x+2)
= 2x - 6
D. 2x-6 with no remainder
The quotient when (x + 2) is divided into the polynomial 2x² - 2x - 12 is, (2x - 6) with no remainder.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
To find the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12.
Now,
The polynomial is,
⇒ 2x² - 2x - 12
⇒ 2 (x² - x - 6)
⇒ 2 (x² - 3x + 2x - 6)
⇒ 2 [ x (x - 3) + 2(x - 3) ]
⇒ 2 [ (x + 2) (x - 3) ]
Hence, We can divide polynomial by (x + 2) as;
⇒ 2 [ (x + 2) (x - 3) ] ÷ (x + 2)
⇒ 2 (x - 3)
⇒ 2x - 6
Therefore, the quotient when (x + 2) is divided into the polynomial
2x² - 2x - 12 is, (2x - 6) with no remainder.
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Add the product of 2 and 5 to the product of 9 and 8
Answer:
82
Step-by-step explanation:
2*5 + 9*8 = 10 + 72 = 82
Answer:
82
Step-by-step explanation:
product means multiply 2*5= 10 9*8= 72
10 + 72 = 82
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this
Answer:
Step-by-step explanation:
Time taken to eat 30 hot dogs = 64 seconds
Time taken to eat 1 hot hot dog = 64 ÷ 30
≈ 2 seconds
When I solved this quadratic using the square root property, I am not sure if i did it correctly and I am not sure if there should be two x solutions.
Answer:
yup your answer is right
Step-by-step explanation:
two x solutions are +2√3
+2√3 can be written as +2√3 or -2√3
Answer:
yesssss you are rightttt
Where is Point A located on the coordinate grid?
Answer:
Quadrant 11
Step-by-step explanation:
Quadrant 2 mark as brainllest
Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.
Answer:
see explanation
Explanation:
the graph of g(x) is the graph of f(x) shifted vertically by
+ 6 units
or equivalent to a translation
(
0
6
)
in general
g
(
x
)
=
x
2
±
a
for
a
>
0
shift is
(
0
a
)
↑
⏐
⏐
⏐
⏐
for
a
<
0
shift is
(
0
−
a
)
⏐
⏐
⏐
⏐
↓
graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}
Step-by-step explanation:
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
What is the area of the square? It has a side of 5 mm.
Please help i give brainliest