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:
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
If my answer helped, kindly mark me as the brainliest!
Thanks!!
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
At 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
Would appreciate it if anyone answered this for me :D
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?
immediate help pls i love u guys <2
Answer:
N165.53°E
Step-by-step explanation:
Given the following vector points
Vx = -43.0units
Vy = 11.1 units
The direction of the vector is expressed using the formula:
θ = tan^-1(Vy/Vx)
θ = tan^-1(11.1/-43.0)
θ = tan^-1(0.2581)
θ = -14.47°
Since tan is negative in the second quadrant, hence the required direction will be θ = 180-14.47
θ = 165.53°
Hence the direction is N165.53°E
help.............gigfjfgjfjf
Answer: B
Step-by-step explanation :}
Find the length of the altitude, not x.
Answer:
multiple choice?
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)
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 = 3Solve for X.
93°
3x
Vertical angles
Answer:
x = 31
Step-by-step explanation:
93 ÷ 3 = 31
so that means x equals 31
PLEASE HELP ME!!!!
What is 567-58y+375-56=13c-5s-456x249=?
I NEED HELP!!
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
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:
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4
seven and 15 hundredths as a decimal
Answer:
7.15
I hope this helps!
A washer and a dryer cost $887 combined. The washer costs $37 more than the dryer. What is the cost of the dryer?
i will make branlyist
Answer:
The dryer cost 425 dollars
Step-by-step explanation:
425+462=887
HELPPPPPPP I HAVE NO IDEA WHAT THE ANSWER IS!!!
Find the image of the letter for a reflection first across line L and then across line M. Is the resulting transformation a translation or a rotation? For a translation, describe the direction and distance. For a rotation, tell the center of rotation and the angle of rotation.
Which of the following shows the image in blue?
A.
B.
C.
Which of the following describes the resulting transformation?
A. It is a rotation about the point C. The angle of rotation is 76° clockwise.
B. It is a translation down to the right. The distance of the translation is twice the distance between the letter and M.
C. It is a translation down to the right. The distance of the translation is the distance between the letter and M.
D. It is a rotation about the point C. The angle of rotation is 152° clockwise.
In the interval,
[0,2), what are the solutionms of the equation sin x =-1/2?
Answer:
Step-by-step explanation:
-3 force F equals 5/4 what is F
Answer:
uhhh
Step-by-step explanation:
Please help me again
What is 2 1/2 divided 3 3/4?
Answer:
Step-by-step explanation:
2 1/2 divided by 3 3/4
2.5 divided by 3.75= 2/3 or 0.6
Answer:
2/3 or .66666666666666666
Step-by-step explanation:
2 1/2 = 5/2
3 3/4 = 15/4
Then you get a common denominator:
10/4 divided by 15/4
flip 15/4
10/4 divided by 4/15
then multiply
40/60
then simplify
2/3
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.
Read related link on:
https://brainly.com/question/19737487
G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.
Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?
6
7
20
59G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.
Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?
6
7
20
59
Answer:7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
7
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
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:
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.
What is the slope of the line 4x – 2y = 5? 4 O-2 2
Answer:
The slope of the given line (4x-2y=5) is2
Step-by-step explanation:
slope (m)=-a/b
= -4/-2
=2#
A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?
Answer:
3284.01, brainliest if correct pls
Step-by-step explanation:
Answer:
3282 cubic inches.
Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.