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.
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
3.14787898.... Will be classified as what according to the real number
system?
Real, irrational
Real, rational, integer
real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number
Answer:
real irrational
Step-by-step explanation:
integers do not have decimals.
A sport car can drive 1300 kilometers in a day set up a porportion and solve
to find how many days it will take the sport car to drive 4290 kilometers.
Step-by-step explanation:
1:1300
x:4290
4290x1/1300
3.3
=3days
simplify the expression
Answer:
9
Step-by-step explanation:
Since the absolute value of -9 is 9.
if y= x+9
______
3-x
find the value of y when x=5
Answer:
-28
Step-by-step explanation:
y/3-x = x+9
x=5
=>y/3-5=5+9
=>y/-2=14
=>y = - 28
the length of segment HJ if H lies at (-1,7) and J lies at (8,-5)
Answer:
HJ = 15Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
HJ = 15
Hence the length of segment HJ is 15 units
I need help can someone pls find the answer
Answer:
4 is the answer
Step-by-step explanation:
because they gave 6into-4 =24
6into4 =24
I think it will help full for uu
it is helpful pls. do lijee
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B?
Answer:
(-7,-3)
Step-by-step explanation:
From A to M, the x value went down 2. If it goes down another 2, it will be at -7.
From A to M, the y value went down 3. If it goes down another 3, it will be at -3.
(-7,-3)
why is 6 scared of 7
.....
cuz 789
aaaaaaahhhhhhhhhhhhh
Answer:
ahhhhhhhhhhhhh
Step-by-step explanation:
How many times can 57 go into 5000?
Answer:
87 times
Step-by-step explanation:
what is the diameter of 8cm in circle form?
Answer:
What is the circumference of a circle with diameter 8cm? Circumference of a circle = 3.14 x d 3.14 x 8 = 25.12 Therefore the circumference of a circle with the diameter of 8cm is 25.12cm. What is...
Step-by-step explanation:
15 - 2(3 - 2x) = 46
Answer:
[tex]9.25[/tex]
Step-by-step explanation:
So we have the equation:
[tex]15-2(3-2x)=46[/tex]
First, distribute the -2:
[tex]15-2(3)-2(-2x)=46[/tex]
Multiply:
[tex]15-6+4x=46[/tex]
Subtract:
[tex]9+4x=46[/tex]
Subtract 9 from both sides:
[tex]4x=37[/tex]
Divide both sides by 4:
[tex]x=37/4=9.25[/tex]
And we're done!
What is the missing statement for step 6?
Answer: c
Step-by-step explanation:
Translate the following,
The difference between a number and ten is the same as three times the sum of the number and six.
Answer:
x-10 = 3(x+6)
Step-by-step explanation:
The difference between x and 10
(x-10)
Is the same thing as 3*(x+6)
=3(x+6)
A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week. (a) Write out the set of inequalities you would use to represent the constraints in this situation. (b) Identify the corner points. (c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure to show the comparison in your work. Use linear programming to solve.
Answer:
10020
Step-by-step explanation:
2. Sketch the graph: 4y – 3x = 12.
Answer:
see below
Step-by-step explanation:
A graphing calculator is useful for this.
__
To find the x-intercept, set y=0 and solve for x:
0 -3x = 12
x = -4 . . . . . . divide by -3
To find the y-intercept, set x=0 and solve for y:
4y - 0 = 12
y = 3 . . . . . . divide by 4
Plot the x- and y-intercepts on their respective axes and draw a line through them.
Does anyone know how to do any of these problems? My notes are no help and none of my classmates know what to do either.
Answer:
17) 40°
18) 3x+22
19) (1,-4.5)
20) (-1,-2.5)
Step-by-step explanation:
17) 99=59=40°
18) 2x+7+x+15=3x+22
19) 6-(-8)=14
14/2=7
-8+7=1
-2-(-7)=5
5/2=2.5
-2-2.5=-4.5
midpoint = (1,-4.5)
20) 6-(-8)=14
14/2=7
-8+7=-1
5-(-10)=15
15/2=7.5
-10+7.5=-2.5
Midpoint = (-1,-2.5)
10v-3v=35 what is the answer to this.
answer is v=5
Step-by-step explanation:
10v-3v=7v
7v=35
v=35/7
v=5
Answer: [tex]v=5[/tex]
Simplify both sides of the equation
[tex]10v+-3v=35[/tex]
[tex](10v+-3v)=35[/tex] (Combine Like Terms)
[tex]7v=35[/tex]
Divide both sides by 7
[tex]7v/7=35/7\\v=5[/tex]
5.5% of x =19.84 find x
Answer:
ur answer is
5.5/100*x=19.84
X=19.84*100/5.5
X=360.72
Find the coordinates of the midpoint of a segment with the given endpoints. Show your
work.
7. (-3, 5), (7, -1)
Answer:
Show your work below.
8. (4, -3), (-6, 6)
Answer:
Plz answer both 7 and 8
Answer: 7. (2, 2) 8. (-1, 1.5)
400 A whole number a integer a real number or rational number
Answer:
All of the above
Step-by-step explanation:
A whole number and integers are numbers that don't have decimals.
A rational number is a number that can be written as a fraction
A real number is any number that is not complex, which means that it has an imaginary solution or imaginary number part of it.
Evaluate each expression. y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
Answer:
3
Step-by-step explanation:
(5÷5)+1+(6÷6)
1+1+(6÷6)
1+1+1
3
Is 400 A whole number a integer a real number or rational number
Answer:
400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1
Step-by-step explanation:
the square root of 400 is rational because the product is 20 which is a whole number making it a rational number because a rational number is any interger, fraction , terminating decimal, or repeating decimal.
hey this was from class today and i want to know why he made the second difference equal to 2a. i have no idea where he got it from. thanks
Show all work to multiply expression. (image included) 50 points, will mark brainliest.
Answer:
im pretty sure it would be 5
Step-by-step explanation:
(-64=)-8+6=-2+(-16=)-4-3=5
Answer:
50Step-by-step explanation:
(6 + √-64) (3 - √-16)
= (6 + 8i) (3 - √-16)
= (6 + 8i) (3 - 4i)
= (6 * 3 - 8 (-4)) + (6(-4) + 8 * 3)i
= 6 * 3 - 8(-4) = 50
= 6(-4) + 8*3 = 0
= 50 + 0i
= 50
Represent this statement as an equation: The difference of twice a number and 3 is 11.
Answer:
2x - 3 = 11
Step-by-step explanation:
"difference" means subtraction, so it is subtraction.
"twice a number" simply means 2x, since you do not know what the specified number is, it is x. and the 2 and just making it twice the number.
"Is 11" just means equals 11.
so, 2x - 3 = 11.
hope this helps!
solve for h 7a=10-2h
Step-by-step explanation:
7a = 10 - 2h
2h = 10 - 7a
h = (10 - 7a)/2
Solve: - (g+ 12) = 5(9 - 12)
Answer:
-27
Step-by-step explanation:
(g+ 12) = 5(9 - 12)
g = 45 - 60 - 12
g = - 27
Answer:
g = 3
Step-by-step explanation:
- (g+ 12) = 5(9 - 12) (remove parentheses by distributive property. See attached for reference)
g(-1) + 12(-1) = 9(5) -12(5)
-g - 12 = 45 - 60
-g - 12 = -15 (add 12 to both sides)
-g = -15 + 12
-g = -3 (multiply both sides by -1)
g = 3
The cost of an iphone increases 10% each year.
a) What is the multiplier? (1.1)
b) If an iphone costs $600 now, write the function to niodel this situation.
c) What will it cost in three years?
d) What did it cost two years ago?
Answer:
a) the multiplier is the years
b) cost of iPhone = 600 + 600* (.1x)
c) f(3) = $780
d) f(-2) = 480
express the set in interval notation: