A spherical tank has a capacity of 750 gallons. using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (to the nearest hundredth of a foot).
The spherical tank with a capacity of 750 gallons has a radius of 2.88ft.
Volume refers to the total amount of space an object occupies. It also determines the capacity of the object.
Given the fact that 1 gallon is about 0.1337 ft^3, and the spherical tank has a capacity of 750 gallons, then it's volume or capacity can be converted from gallons to ft^3 by multiplying 750 with 0.1337.
1 gallon = 0.1337 ft^3
750 gallons = 750(0.1337 ft^3)
750 gallons = 100.275 ft^3
To solve for the radius of the spherical tank, use the formula for the volume of sphere given by the formula:
V = 4/3πr^3
where V = 100.275 ft^3
100.275 ft^3 = 4/3πr^3
r^3 = 23.93889288 ft^3
r = 2.882048957ft
Rounding off to the nearest hundredth of a foot:
r = 2.88ft
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calculate these values
a= _____
b= _____
The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
How to multiply Matrices?
To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;
(1 * -1) + (0 * -1) + (1 * 3) = a
-1 + 0 + 3 = a
a = 2
Similarly;
(1 * -1) + (0 * 2) + (1 * 4) = b
-1 + 0 + 4 = b
b = 3
Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
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What is the solution to |14|-|-14|
Answer: The solution to |14|-|-14| is 0
Answer:
The answer is 0
Step-by-step explanation:
absolute value of 14 and -14 is 14 and 14 minus 14 equals 0
A school has 400 students. If 40 students were surveyed, what percent of the school was surveyed?
Answer:
0.18
Step-by-step explanation:
Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country
To find: probability that the student is in high school and has visited a foreign country
Solution:
Let x denotes total number of students
Number of students in high school = 60% of x =
Number of students in middle school = 40% of x =
Number of students who are in high school and have visited foreign country = 30% of Number of students in high school =
Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =
Answer:
Step-by-step explanation:
160% Was surveyed!
40% of 400
A sqaure garden has an area of 144 square feet. how many yards of fence will it take to enclose the garden?
The number of yards of fence it will take to enclose the square garden is 48 feet.
It is given in the question that a square garden has an area of 144 square feet.
We have to find the number of yards of fence it will take to enclose the garden.
Let the length of side of the square garden be x feet.
We know that,
Area of a square = [tex]side^2[/tex]
Hence,
According to the data given in the question, we can write,
144 = [tex]side^{2}[/tex]
We know that,
144 = [tex]12^2[/tex]
Hence,
[tex]12^2=side^2[/tex]
Hence,
Side = 12 feet
We know that,
Number of yards of fence it will take to enclose the square garden = perimeter of the square garden.
Hence,
Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.
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You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house. write an absolute value inequality that represents all the distances you may be from your house
An absolute value inequality that represents all the distances you may be from your house is -14 ≤ x ≤ 14.
Inequality:
Basically, inequality is the relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house.
Here we need to write an absolute value inequality that represents all the distances you may be from your house.
Consider your house is in the center.
So, both sides you have the Golf course.
So, it can be written as
-14 for north side one and 14 for the south side one.
And let x be the distance between the house and the golf course.
So, it can be written as the inequality,
=> -14 ≤ x ≤ 14.
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let f(x)=-x+3 Write a function g whose graph is a translation 3 units up from the graph of f.
g(x)=?
The function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6
What is the explanation for the above?Given:
f(x) = -x + 3...............1
Transformation is 3 units up from the graph of F
hence,
g(x) = f(x) + 3...........2
Recall that f(x) = -x+3 Hence
Substituting f(x) in to Equation 2
We have:
g(x) = -x + 3 +3, hence
g(x) = -x + 6
Hence we can conclude that the function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6.
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If the mean of a normal distribution is 20 and its standard deviation is 3, between which values would 99.5 percent of the data observations be expected to fall?
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
What is a normal distribution?
A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.
part of values below a certain threshold, a= (1-0.995)/2 = 0.0025
Mean,m =20
Standard deviation,s = 3
Z = (X – m) / s
P(x<Z): 0.0025
P(x<Z) = 0.0025 can be determined for Z score.
according to the usual table, Z = -2.807
X = Zs+m
(-2.807 * 3) +20= 11.579
Lower limit = 11.579
Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.
P(x<Z): 0.9975
Z score for which P(x<Z) = 0.9975 can be found
from the normal table as, Z = 2.807
X = Zs+m
(2.807 * 3) +20= 28.421
Upper limit = 28.421
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
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Un ciclista tarda 3horas y 25 minutos en recorrer 150km ¿cuantos minutos tardará en recorrer 238km si lleva una velocidad constante?
Answer :
The time it will take to travel a distance of 225km is t = 9 h
What is MRU?
MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.
We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:
Speed = distance / time
Speed = 125km/5h
Speed = 25 km/h
We now determine a time for a 225km course
25 km/h = 225km/t
t = 225km / 25km/h
t = 9 h
Express in simplest radical form.
Square root of 160
Answer:
4 [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Simplify
[tex]\sqrt{160}[/tex]
We can rewrite this as
[tex]\sqrt{16 * 10}[/tex]
Breaking this up
[tex]\sqrt{16} \sqrt{10}[/tex]
We know the square root of 16 is 4
4 [tex]\sqrt{10}[/tex]
sqrt(10) cannot be simplified so
Answer:
[tex]4\sqrt{10}[/tex]
Step-by-step explanation:
160 = 16 * 10
[tex]\sqrt{160} = \sqrt{16 \cdot 10} = \sqrt{16} \cdot \sqrt{10} = 4\sqrt{10}[/tex]
we cannot simplify further as 10 is 2*5, there are no more squares to simplify.
99×78+33×66=？
How to calculate it without using a calculator?
Answer:
cool hahahahhahahahahaha ano to app nato
Answer:
Do it on Paper.99 x 78 = 7722
+ 33
= 7755
x 66
= 511830Answer = 511830Hope this helpsace that workGood luck ✅
What’s 0.076952 to its 3dp
Answer: Original value: 0.076952
Value (with 3 decimal places): 0.077
Step-by-step explanation: hope this helps
Which relation is represented by the arrow diagram?
{(-0.5, -1), (1,7), (0.5, -0.2), (3.2, 1)}
{(3.2, 1), (0.5, -0.2), (1,1), (-0.5, 7)}
{(-1, -0.5), (7, 1), (-0.2, 0.5), (1, 3.2)}
{(-0.5, -1), (1, 7), (0.5, 1), (3.2, -0.2)}
Answer:
first order
Step-by-step explanation:
they're basically a linear function. to make it easier you could just put the coordinates on the side of the table.
I have a series of questions. The faster I get the answer the more point I give.
We have
28 = 2²•7
48 = 2⁴•3
and GCD(28, 42) = 2² = 4.
4=2x+y
-6x-3y=-12
Elimination
Answer:
infinitely many solutions
Step-by-step explanation:
4=2x+y
-6x-3y=-12
First, line up the variables in the right place
4=2x+y
-12=-6x-3y
Choose the variable you want to eliminate, I will do x
Multiply everything in the first equation by 3
3(4)=(2x+y)3
-12=-6x-3y
Simplify
12=6x+3y
-12=-6x-3y
If we combined everything, it would all cancel
This means there are infinitely many solutions
[tex]x-2\ \textgreater \ 3 \\[/tex]
The solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞)
How to solve the inequality for x?Here we have a simple inequality:
x - 2 > 3
To solve this we need to isolate x in one side of the inequality.
Now, remember that we can do the same operation in both sides of the inequality. So, if we add in both sides the same number, then the truth value of the inequality does not change.
Then if we add 2 in both sides of the inequality we get:
x - 2 + 2 > 3 + 2
x > 5
Then the solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞).
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round 1344 to two decimal places
A person invests 10000 dollars in a bank. The bank pays 6.5% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 29500 dollars?
The time it will take for the money in the bank to reach a total of 29500 dollars would be = 30 years.
How to calculate the time for the interest compounded annually?To calculate the time for the interest compounded annually the formula below is used:
Simple interest = principal× time×rate/ 100
Simple interest = principal× time×rate/ 100Simple interest = total amount in the bank - principal amount
= 29500 - 10000
= $19,500
Principal = $10000
Rate = 6.5%
Time = ?
From the given formula, make t that subject of formula;
T = $19,500 ×100/$10000×6.5
T = 1950000/65000
T = 30 years.
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Darren is purchasing a car that costs $10,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 6 years, how much is his monthly payment?
$138.89
$163.89
$168.92
$180.12
well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]
Answer:
B
Step-by-step explanation:
i'm pretty sure it's right but could be wrong
Point D is 1n of the way from C(−2.5, 1.25) to E(5, 15). What are the coordinates of D if n = 5?
Answer:
Coordinates of D are (-1, 4)
Step-by-step explanation:
I have assumed that what you wrote as 1n is actually 1/n otherwise the question does not make sense
1/n with n = 5 ==> that D is 1/5th of the distance from C on the CD line segment
Point D is 1/5th of the way from C to D
I will represent the (x, y) coordinates of points C, D and E as
[tex](x_C, y_C), (x_D, y_D) , (x_E, y_E)[/tex] respectively
Then the x-distance from C to E = [tex]x_E - x_C[/tex] and the y-distance from C to E will be [tex]y_E - y_C[/tex]
[tex]\text{1/5th of }[/tex] [tex]x_E - x_C = \dfrac{x_E - x_C}{5}[/tex] but this is relative to the location of [tex]x_C[/tex].
So we have to add this to [tex]x_C[/tex] to get the absolute x-coordinate of D
So
[tex]\displaystyle \large x_{D}=x_{C}+\dfrac{x_{E}-x_{C}}{5}[/tex]
and similarly
[tex]{\displaystyle y_{D}=y_{C}+\dfrac{y_{E}-y_{C}}{5}}[/tex]
Putting in the values for these coordinates we get
[tex]x_{D}=-2.5+\dfrac{5-(-2.5)}{5} \\\\= -2.5 + \dfrac{5 + 2.5}{5}\\\\\= -2.5 + \dfrac{7.5}{5}\\\\= - 2.5 + 1.5\\\\= -1.0[/tex]
[tex]y_{D}=1.25+\dfrac{15-1.25)}{5} \\\\= 1.25+ \dfrac{15 - 1.25}{5}\\\\\ = 1.25+ \dfrac{13.75}{5}\\\\= 1.25+ 2.75\\\\= 4.0[/tex]
So the coordinates of D are:
[tex]\boxed{D(-1, 4)}[/tex]
The graph shows the point D is indeed 1/5th of the distance from C to D
Q. 2
Find the missing number 4, 5, 16, ?,
when average (mean) is 8 ?
Answer:The missing number is 7
Step-by-step explanation:
if 4+5+16 is 25 then you will need 7 more to make it 32 so you can divide by 4 and get 8
kkkkkknnnjkkkl......l,
Answer: kndkfnsjkfrjgkbgjb
Step-by-step explanation:
listen to koRn
find the measure of angle B.
Answer:
m <B = 41°
Step-by-step explanation:
Fact: complementary angles measures add to 90 degrees
Given: m < A = 2x-19, and m <B = x+7
Find: m <B = ?
Find x
2x-19 + x+7 = 90
2x+x = 90 +19-7
3x = 102
x = 34
Find m <B
m <B = x+7
m <B = 34+7
m <B = 41
6-6x=7x-9x-18 the value of x
Answer:
X = 6
Step-by-step explanation:
6-6X = 7X -9X -18 Combine 7x -9x
6 - 6x = -2x -18 Add 6x to both sides of the equation
6 = 4x - 18 Add 18 to both sides of the equation
24 = 4x Divide both sides by 4
6 = x
Check:
6-6X = 7X -9X -18
6 - 6(6) = 7(6) -9(6) -18
6 - 36 = 42 - 54 -18
-30 = 1-12-18
-30 =-30
The price of a computer is 899.00 the sales tax rate is 7% what is the sales tax on the computer in dollars and cent
The value of the sales tax on the computer is 62 dollars and 93 cents.
Any number or a ratio which is expressed in terms of a fraction of 100 is known as a percentage.
Here, we are given that the price of a computer is 899 dollars.
The sales tax on the computer is 7%.
Thus, the value of the sales tax on the computer will be,
7% of 899
= 7/100 * 899
= 62.93
Thus, the sales tax on the computer comes out to be 62.93 dollars.
In 62.93 dollars, we can see that we have 62 complete dollars, plus 0.93 more dollars left.
0.93 dollars = 93 cents
Therefore, the sales tax on the computer is 62 dollars and 93 cents.
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Answer:
Step-by-step explanation:
48,782 x 16
Answer with Evidence
PPPLSS GIVE ME A FAST RESPOND IM IN CLASS RN AND MY TEACHER IS READING OUR RESPONSES PLLSSSSS
h(x) = 18 - 9x + x4, evaluate h(2)
The value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.
According to the given question.
We have a function h(x) = 18 - 9x + x^4
Here, we have to find the value of h(2). For this we will substiute x = 2 in the function h(x) = 18 - 9x + x^4.
Therefore, the value of h(2) for the function h(x) = 18 - 9x + x^4 is given by
h(x) = 18 - 9x + x^4
h(2) = 18 - 9(2) + 2^4
h(2) = 18 - 18 + 16
h(2) = 16
Hence, the value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.
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number 7 show your work , someone help please.
Answer:
Step-by-step explanation: Replace u with (3)
Multiply 5x3+3/2
Answer: 9
Step-by-step explanation:
remember, a variable is only a placeholder for an actual value.
so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.
6.
25/(r - 4) for r = 9
that means
25/(9 - 4) = 25/5 = 5
7.
(5u + 3)/2 for u = 3
that means
(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9
A student and teacher are racing to finish a book. It takes the teacher 14.4 hours to complete the book. It takes the student 1.75 times as long to finish. Based on this information, which statement is true?
Answer:
I don't know about that and I don't understand
Evaluate the expression 5(7-4)2 ÷ 3 + 11.
Answer:
26
Step-by-step explanation:
I will assume you meant this: 5 ( 7-4)² ÷ 3 + 11
Using PEDMAS
Parentheses first
5 ( -3)² ÷ 3 + 11
then exponents
5 ( 9) ÷ 3 + 11
then division
5 * 3 + 11
and multiplication
15 + 11 then addition and or subtraction = 26
Answer:
Step-by-step explanation:
