A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a larger tank whose capacity is 2.5 times the volume of the standard model. What is the approximate diameter of this larger tank? Round to the nearest tenth.
Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
Answer:
8.1
Step-by-step explanation:
Choose
1. Identify the y-intercept of the line with the given equation. y= 3x + 12
A) x
B) y
C) 3
D) 12
Which ratio is equal to 27 : 81?
A. 1 : 9
B. 2 : 9
C. 3 : 9
D. 3 : 27
E. 9 : 12
Answer:
C) 3: 9
Step-by-step explanation:
27: 81
Ratios are same as fractions, that is why 27:81 = 27 / 81
Now that we go this fraction, let's make it an equivalent fraction:
(27 / 9) / (81/9)
=> 3/9
=> 3 : 9
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Is the function shown linear or nonlinear? Explain.
A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.
Answer:
b
Step-by-step explanation:
linear is a straight line and non linear is something that isnt a straight line
10. The tickets to a ballet cost either $25 or $50. A total of 1,250 tickets, worth $50.000, tickets, which system of linear equations can be used to find the number of each type of ticket sold? 25x + 50y = 50000 x +y = 1250 A. 25x + 50y = 1250 x+y = 50000 B. 25x + x = 50000 50y + y = 1250 C. 25x + 50x = 50000 y +y = 1250 D.
Answer:
25x + 50y = 50,000
x + y = 1250
Step-by-step explanation:
Let x = number of $25 tickets
Let y = number of $50 tickets
Equation of the the money of ticket sales:
25x + 50y = 50,000
Equation of the number of tickets:
x + y = 1250
Answer:
25x + 50y = 50,000
x + y = 1250
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answer:
Step-by-step explanation:
list 3 linear equations
List 3 non-linear equations
Answer:
Linear:
y = 2x + 1
5x = 6 + 3y
y/2 = 3 − x
Nonlinear:
x2+y2 = 1.
x2 + 12xy + y2 = 0.
x2+x+2 = 25
Step-by-step explanation:
Solve for X.
93°
3x
Vertical angles
Answer:
x = 31
Step-by-step explanation:
93 ÷ 3 = 31
so that means x equals 31
What is the value of x?
Answer:
x=71
Step-by-step explanation:
38+x+x=180
x+x=142
2x=142
x=71
determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square
Step-by-step explanation:
(Ax² + Bx + C)²
= (Ax² + Bx + C)(Ax² + Bx + C)
= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².
By Comparing Coefficients, we have:
A = 1
2AB = 6
2AC = 7
2BC = a
C² = b
Solving them we get A = 1, B = 3 and C = 3.5.
Therefore a = 2BC = 2(3)(3.5) = 21,
b = C² = (3.5)² = 12.25.
help meh for points pleasee
Answer:
the answer is 43
Step-by-step explanation:
Zeke oversees a website for nutritional information on fast food. During its first year, the number of times the website was visited had
net change of +55. During each subsequent month, starting in the next year, the number of visits increased by 320. He wants to find
out how many visits his website will get afterx months assuming this rate continues
Zeke thinks that the website will have 7,500 visits in less than 2 years
Which statements about this situation are true? Select ALL that apply.
A
The expression 320x + 55 can be used to represent this situation,
The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of
320
Answer: 320x + 55
Step-by-step explanation:
The statements about this situation that are true include:
The expression 320x + 55 can be used to represent this situation.The expression that can be used to represent the situation will have a positive rate of change of 55 and a constant of 320.Since the number of times the website was visited had a net change of +55 and during each subsequent month, starting in the next year, the number of visits increased by 320. The expression to solve this will be:
= 320(x) + 55
= 320x + 55
where, x = number of months.
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PLEASE HELP ME!!!!
What is 567-58y+375-56=13c-5s-456x249=?
I NEED HELP!!
Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression. (g+1/g^2 + 2g - 15)+ (g+3/g+5)
Answer:
(g+5)x(g-3)
Step-by-step explanation:
Edmentum/PLATO answer:
Rewrite the expression:
g+1/g^2+5g-3g-15 + g+3/g+5
Factor out g from expression:
g+1/gx(g+5)-3g-15 + g+3/g+5
Factor out g+5:
g+1/(g+5)x(g-3) + g+3/g+5
Least common denominator: (g+5)x(g-3)
Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x + 8y = 0
-7x + y = 31
Step 2: Rewrite Systems
-7x + y = 31
Add 7x to both sides: y = 7x + 31Step 3: Redefine Systems
6x + 8y = 0
y = 7x + 31
Step 4: Solve for x
Substitution
Substitute in y: 6x + 8(7x + 31) = 0Distribute 8: 6x + 56x + 248 = 0Combine like terms: 62x + 248 = 0Isolate x term: 62x = -248Isolate x: x = -4Step 4: Solve for y
Define equation: -7x + y = 31Substitute in x: -7(-4) + y = 31Multiply: 28 + y = 31Isolate y: y = 3At the last pep rally 3 out of every 7 students wore school colors. Based on this information, if 350 students attend the next pep rally, how many of these students will wear school colors
(1st answer will get marked brainliest.. please don’t answer if you don’t know what the answer is.. thank you :))
Answer:
150
Step-by-step explanation:
Please let me know if you still need help!
Answer:
150 students would be wearing school colors
Step-by-step explanation:
Pretty sure because you divide 350 by 7 (which gives 50), then multiply 50 by 3 to get 150, which would be 3/7 of the student population
If x = 5, which inequality is true?
A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7
D IS THE CORRECT ONE Step-by-step explanation:
1 i) Consider a triangle ABC shown below. If angle LA = 3r and _C = 2x then find the value of z.
Answer:
i don't know if this is what you're asking but here you go
Step-by-step explanation:
90 + 3x + 2x = 180
90 + 5x = 180
- 90 - 90
5x = 90
/ 5 / 5
x = 18
Can you solve this?
kn+4f=9v, for n
Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
You want to take 10 lessons at a swim club. You can pay a membership fee of $20 plus a fee per lesson. You can also decide no to pay a membership fee. In that case, the fee per lesson is $3 more. Is there any lesson fee for which these two plans cost the same?
Answer:
x = 1
Step-by-step explanation:
Plan A: 20 + 10x
Where, x = fee per lesson
Plan B: $3 × 10 lessons = $30
Equate plan A and plan B
Plan A = Plan B
20 + 10x = 30
10x = 30 - 20
10x = 10
x = 10/10
= 1
x = 1
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 hours to get there, what was their average speed for the trip?
Keiko deposits $6000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
help soon please
Answer:
540
Step-by-step explanation:
3% of 6000 is 180. Multiply that by 3 years and you have your result.
Given that a = 3 and b = -1, what is the value of 2a - b?
Answer:
the answer is 7.
Step-by-step explanation:
here's why......if u place the 3 where a is it will become multiplication so that would be 2 times 3 minus b now but if u place -1 the minus becomes addition so it will be 6+1 which is 7.
Answer:
The value of expression when a=3 and b=-1 is 7
Step-by-step explanation:
Given expression is:
2a - b
Also given that
a = 3
b = -1
In order to find the value of the expression, we have to put 3 in place of a and -1 in place of b in the expression
So putting the values
[tex]=2(3)-(-1)\\=6+1\\=7[/tex]
Hence,
The value of expression when a=3 and b=-1 is 7
Someone pls explain :)!!!!
Answer:
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
The formula is y=mx+b
:D
I tought of a number double it then added 3. The result multiplied by 4 came to 52,what was the number I tought of?
Answer:
5
Step-by-step explanation:
double 5 is 10
10+3=13
13 multiplied by 4=52
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours
Answer:
1.84
Step-by-step explanation:
Answer:
You answer would be 1.84
Step-by-step explanation:
A 20-dirham note is 13 cm long. How many such notes need to be placed one after the other without overlapping to cover a length of 1 1 2 m?
Answer:
861 (approx)
Step-by-step explanation:
It is given that there is a note of 20 dirham. The 20 dirham note is 13 cm long. And we have to place the 20 dirham notes to cover a length of 112 m without overlapping the notes.
We know that :
100 cm = 1 m
∴ 13 cm = 0.13 m
In order to cover a length of 112 m, we have to divide 112 by 0.13, i.e.
[tex]$=\frac{112}{0.13}$[/tex]
[tex]$=\frac{11200}{13}$[/tex]
= 861 (approx)
A number is chosen at random from the positive, even integers from 2 to 50. Find the probability that the numbe
chosen is divisible by 5 or 8.
Numbers divisible by 5 from 2 to 50 is 10 and numbers divisible by 8 from 2 to 50 is 6 ,therefore 6+ 10 =16 making 16/50 =8/25