Is 253/10 a rational or irrational
Answer:
irrational
Step-by-step explanation:
After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease in the volume of the tumor
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume ([tex]V[/tex]) is calculated by:
[tex]V = \frac{4\pi}{3}\cdot R^{3}[/tex]
Where [tex]R[/tex] is the radius of the tumor.
The percentage decrease in the volume of the tumor ([tex]\%V[/tex]) is expressed by:
[tex]\%V = \frac{\Delta V}{V_{o}} \times 100\,\%[/tex]
Where:
[tex]\Delta V[/tex] - Absolute decrease in the volume of the tumor.
[tex]V_{o}[/tex] - Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
[tex]\Delta V = V_{o}-V_{f}[/tex]
[tex]\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})[/tex]
The percentage decrease is finally simplified:
[tex]\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%[/tex]
Given that [tex]R_{o} = R[/tex] and [tex]R_{f} = 0.77\cdot R[/tex], the percentage decrease in the volume of tumor is:
[tex]\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%[/tex]
[tex]\%V = 54.34\,\%[/tex]
The volume of the tumor experimented a decrease of 54.34 percent.
What is the perimeter of the triangle?
The perimeter of the triangle is 36 units.
Distance
The distance between two points A(x₁, y₁) and B(x₂, y₂) is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of the triangle is A(0, 0), B(10, 0) and C(5, 12). Hence:
AB = 10 units
[tex]BC=AC=\sqrt{(5-0)^2+(12-0)^2}=13\ units[/tex]
Perimeter of triangle = AB + BC + AC = 10 + 13 + 13 = 36 units
The perimeter of the triangle is 36 units.
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Which equations have the variable term in the equation –6 + 2x = 6x – 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply.
Answer:
C and D
Step-by-step explanation:
–4x = –3 and 3 = 4x is the answer.
(I did the quiz)
Solve for x.
y= 2x
y=20
Simplify your answer as much as possible.
Answer:
20=2x
20/2=x
X=10
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
20 divided by 2 equals 10.
Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5
Answer:
(x,y). y = x + 3 y = -x - 5
Step-by-step explanation:
add it up cowgirl howdey with PHOTOT MATHSAnswer:
(-4,-1)
Step-by-step explanation:
I graphed the two lines using a graphing tool. When graphed, the lines intercept at (-4,-1). Therefore, (-4, -1) is the solution.
Please see the graph attached.
Hope this helps.
The surface area of the side of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side.
Answer:
2[tex]\pi[/tex]rh
Step-by-step explanation:
A little easier way to see:
2 * [tex]\pi[/tex] * r * h
The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map
Answer:
210 km
Step-by-step explanation:
1cm : 70km
3 x 70 = 210
3cm : 210km
Hopefully this helps you :)
pls mark brainlest ;)
In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice the length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.
Step-by-step explanation:
Let x be the length of segment AB.
Then the length of segment BC is (2x - 4).
The length of segment AC is x.
We know that x + (2x - 4) + x = 52.
Therefore 4x - 4 = 52, 4x = 56, x = 14.
Hence the length of segment AB is 14.
Answer:
14
Step-by-step explanation:
HELP PLEASE
Use greater than, equal to =, or less than sign to compare
2/3 and 1/6
Answer:
2/3 < 1/6
Step-by-step explanation:
hope this helps
Answer:
2/3 > 1/6
Step-by-step explanation:
Solve the equation for W
Answer:
fourth option
Step-by-step explanation:
Given
[tex]\frac{2x-1}{y}[/tex] = [tex]\frac{w+2}{2z}[/tex] ( cross- multiply )
y(w + 2) = 2z(2x - 1) = 4xz - 2z ( divide both sides by y )
w + 2 = [tex]\frac{4xz-2z}{y}[/tex] ( subtract 2 from both sides )
w = [tex]\frac{4xz-2z}{y}[/tex] - 2
i need seven please help
Answer:
3n + 6
Step-by-step explanation:
7.
three times a number: 3n
six more than three times a number: 3n + 6
Paisley is working two summer jobs, making $10 per hour babysitting and $22 per hour tutoring. Paisley must earn no less than $190 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours tutoring, tt, that Paisley can work in a given week.
Answer:
10bb + 22tt ≥ 190
0.3(10-5x)=31.5(8x+9)
Answer:
x = - 1.106Step-by-step explanation:
0.3(10-5x)=31.5(8x+9)
Expand the terms in the bracket
That's
3 - 1.5x = 252x + 283.5
Subtract 3 from both sides
3-3 - 1.5x = 252x + 283.5 - 3
-1.5x = 252x + 280.5
Subtract 252x from both sides
That's
- 1.5x - 252x = 252x - 252x + 280.5
- 253.5x = 280.5
Divide both sides by -253.5
We have the final answer as
x = - 1.106
Hope this helps you
lX – 12.2l= 0.3 gives the minimum and maximum acceptable lengths of the wires in centimeters. What is the minimum acceptable length of a wire?
Work Shown:
|x-12.2| = 0.3
x-12.2 = -0.3 or x-12.2 = 0.3
x = -0.3+12.2 or x = 0.3+12.2
x = 11.9 or x = 12.5
The min length is 11.9 cm and the max length is 12.5 cm
Subtracting 12.2 from either x value leads to a positive difference of 0.3 which is the margin of error.
what is 0.142857 repeating as a fraction????
Answer:
Step-by-step explanation:
[tex]n= 0.142857[/tex]
[tex]1000000n= 0.142857[/tex]
Move the decimal point using the 1000000n
You should get 142857.142857 repeating
Subtract n from both sides [tex]142857.142857- 0.142857[/tex]
You should get 142857 without the repeating decimal.
The equation is now: [tex]142857/999999[/tex] (fraction)
A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.
You can use a calculator for 142857/3 (division) (unless your teacher says you can't)
You should get 47619
You should get[tex]47,619/333333[/tex] (fraction).
I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.
Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)
You should get 15,873
You should get 15,873/111111 (fraction)
The repeating decimal 0.142857 is equivalent to the fraction 1/7.
Given that we need to convert a repeating decimal 0.142857 as a fraction.
The repeating decimal 0.142857 can be expressed as a fraction. To understand how to convert it, let's denote it as x:
x = 0.142857...
To convert this repeating decimal to a fraction, we can multiply x by a power of 10 to shift the decimal point and eliminate the repeating part.
Since there are six digits in the repeating block (142857), we can multiply x by 10⁶ to remove the repeating part:
10⁶ · x = 142857.142857...
Next, we subtract the original equation from the one above to eliminate the repeating part:
(10⁶ · x) - x = 142857.142857... - 0.142857...
Simplifying the equation:
999999x = 142857
Now, we can solve for x by dividing both sides of the equation by 999999:
x = 142857 / 999999
Simplifying the fraction:
x = 1 / 7
Therefore, the repeating decimal 0.142857 is equivalent to the fraction 1/7.
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2 (x − 3) = 5x − 3 (x + 2)
Answer:
0=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(x−3)=5x−3(x+2)
(2)(x)+(2)(−3)=5x+(−3)(x)+(−3)(2)(Distribute)
2x+−6=5x+−3x+−6
2x−6=(5x+−3x)+(−6)(Combine Like Terms)
2x−6=2x+−6
2x−6=2x−6
Step 2: Subtract 2x from both sides.
2x−6−2x=2x−6−2x
−6=−6
Step 3: Add 6 to both sides.
−6+6=−6+6
0=0
Answer:
Not Possiable
Step-by-step explanation:
Step 1:
2 ( x - 3 ) = 5x - 3 ( x + 2 )
Step 2:
2x - 6 = 5x - 3x + 6
Step 3:
2x = 2x
Answer:
2x cannot equal 2x
Not Possiable
Hope This Helps :)
Evaluate -3w -2p for w=7 and p= -3
Answer:
-3
Step-by-step explanation:
-3w-2p=-21+18=-3
Jack's bank statement shows an account balance of $25 50 Which descubes the magnitude or size of the debt in dollars? $50 50 $25 50 SO 0-$25 50
Answer:
it’s B. $25.50
0.15(y-0.2)=2-0.5(1-y)
The answer is -153/35 I just need to know how to get that
Answer:
[tex]y=-\dfrac{153}{35}[/tex].
Step-by-step explanation:
The given equation is
[tex]0.15(y-0.2)=2-0.5(1-y)[/tex]
Using distributive property, we get
[tex]0.15(y)+0.15(-0.2)=2-0.5(1)-0.5(-y)[/tex]
[tex]0.15y-0.03=2-0.5+0.5y[/tex]
[tex]0.15y-0.03=1.5+0.5y[/tex]
Isolate variable terms.
[tex]0.15y-0.5y=1.5+0.03[/tex]
[tex]-0.35y=1.53[/tex]
Divide both sides by -0.35.
[tex]y=\dfrac{1.53}{-0.35}[/tex]
[tex]y=-\dfrac{1.53}{0.35}\times \dfrac{100}{100}[/tex]
[tex]y=-\dfrac{153}{35}[/tex]
Therefore, [tex]y=-\dfrac{153}{35}[/tex].
do the measurements represent the three sides of a triangle 3 cm, 3 cm, 3 cm
Answer:
yes!!!
Step-by-step explanation:
If HJ = 7x27 find the value of x. 3x-5. x-1
•———————-•——•
H. I. J
Answer:8.6
Step-by-step explanation:
What is the order of these numbers? Order the numbers from least to greatest. Please help! Thank you so much! −1.4, −85, 0.6, −0.9, 14
I need help on this giving brainlist ASAP
Answer:
no solution
Step-by-step explanation:
|x| = -10
Absolute value means that it is positive or 0
It cannot be negative
There is no solution
Step-by-step explanation:
There is no solution
|A|
can be only 0 or positive number
can't be -
from the rule of Mathematics
did I do this right also how should I finish it?
it depends on what your supposed to do i would finish it myself
The width of a rectangle is 4 cm less than the length. The perimeter is at most 48 cm. What are the restrictions on the dimensions of the rectangle?
Answer: 2w + 2 (w + 4) ≤ 48
I don't know why, or the process tho.
Vivi is a drummer for band she burns 756 calories while drumming for 3 hours she burns the same number of calories each hour how many calories does vivi burn per hour?
Answer: 252 cph
Step-by-step explanation: 756 divide by 3 is 252
Solve for x: −4x − 4 = −4(x + 2)
Answer:
Step-by-step explanation:
-4x - 4 = -4x - 8
=4 ≠ -8
no solution
undefined
Answer:
no solution
Step-by-step explanation:
-4x - 4 = -4(x + 2)
Distribute
-4x -4 = -4x -8
Add 4x to each side
-4x+4x - 4 = -4x+4x -8
-4 = -8
This is never true so there is no solution
8 times a number plus 3 times the number is the same as 9 more than 12 times the number. find the number
Answer:
-9
Step-by-step explanation:
let 'x' be the unknown number
lets change the statment to an equation
8x + 3x = 12x + 9
11x = 12x + 9
11x-12x = 9
-x = 9
x = -9
hope it helps ❤❤❤
For any question comment me
passes through (-4, 11) and (2,8)
Are you looking for slope?
if u r the slope is -6/3
A slope of line will be "[tex]-\frac{1}{2}[/tex]".
Slope of line:According to the question,
(-4, 11) = (X1, Y1)(2,8) = (X2, Y2)We know,
Slope of line:
= [tex]\frac{Y2-Y1}{X2-X1}[/tex]
By substituting the values, we get
= [tex]\frac{8-11}{2-(-4)}[/tex]
= [tex]\frac{-3}{6}[/tex]
= [tex]-\frac{1}{2}[/tex]
Thus the answer above is correct.
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