(Help please, Subject: Properties of exponents) Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 5 days, the population stops
growing and a virus cuts it in half every day for 3 days.
Organism B's population grows at the same rate but is not infected with the virus.
After 8 days, how much larger is organism B's population than organism A's
population? Answer the questions td find out.
1. By what factor does organism A's population grow in the first five days? Express
your answer as an exponential expression.
Write your answer in the space below.
Answer:
1. 252N = ( x x )N
2. Factor =
Step-by-step explanation:
Let the starting population size for organisms A and B be represented by N.
For organism A;
Day 0: N
Day 1: 2N
Day 2: N
Day 3: N
Day 4: N
Day 5: N
Day 6: N
Day 7: N
Day 8: N
For organism B;
Day 0: N
Day 1: 2N
Day 2: N
Day 3: N
Day 4: N
Day 5: N
Day 6: N
Day 7: N
Day 8: N
1. After the eight days, organism B's population is larger than organism A's population by;
N - N = 256N - 4N
= 252N
= ( x x )N
2. Organism A's population grows by .
Find the total surface area of the rectangular prism.
Answer:
Width=7.1
Height=3.2
length=2.8
Formula=2(wl+hl+hw)
2(7.1 x 2.8) + (3.2 x 2.8)+ (3.2 x 7.1)
= 103.12
Hope it helps
Mark me as Brainliest!
10 cm 8 cm 14 cm 7 cm 6 cm 15 cm What is the total area of the figure ?
A 373cm2
B 338cm2
C 303cm2
D 268cm2
Answer:
please include an image for the question
Please help me with this. (easy)
Answer:
8. 2/7 9. 3/4 10. 3/5
Step-by-step explanation:
simplify 4/14 by 2, simplify 15/20 by 5, and simplify 21/35 by 7, hope this helps
solve for a, geometry work
Answer:
a = 45 degrees
Step-by-step explanation:
Since both angles are a, they are equal to each other
Also, we know that the right angle means it measures 90 degrees
So, (180-90)/2 = a
a = 45 degrees
What is the explicit rule for the sequence:
11, 22, 44, 88...
Answer:
Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...
First term (a) = 11
Common ratio (r) = 22/11 = 44/22 = 88/44 = 2
Formula used in Geometric Progression is :---
[tex]\boxed{a_n = a {r}^{(n - 1)}}✓\\ [/tex]
where, 'n' is the required term
Fernando is 6 feet tall.if 1 inch is approximately 2.54 cm,what is fernandos height in cm.
Answer:
182.88cm
Step-by-step explanation:
i looked it up
Answer:
Step-by-step explanation:
Maybe try to multiply or divide.
115
149°
What is the degree measure of v?.
A)
31°
B)
34°
58°
D)
749
can someone help me? 8th grade math
9514 1404 393
Answer:
a. 5^-3
b. 14^18
c. 8^9
d. 16^3
e. 21^-18
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
a) 5^(3-6) = 5^-3
b) 14^(3·6) = 14^18
c) 8^(3+6) = 8^9
d) 16^(6-3) = 16^3
e) 21^(3(-6)) = 21^-18
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
Scott wants to make orange juice he is going buy boxes of oranges
In ΔPQR, r = 870 cm, p = 410 cm and ∠Q=142°. Find ∠R, to the nearest degree.
Answer: 26
Step-by-step explanation:
Fill in the blanks to the picture above
Answer:
The answer is B, 6x^2 - 21x + 15
Step-by-step explanation:
= (3x + − 3) (2x + − 5)
= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)
= 6x^2 − 15x − 6x + 15
= 6x^2 − 21x + 15
- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.
An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square foot and a height of 1/3 foot. How much packing
material is required to fill the box?
ОА.
3/10 ft
OB.
*1/10 ft
Ос. .
1/3ft
OD. 2/3ft
help vvvvvvvvvvvvvvvvvvv
Determine the are of the triangle
Answer:
25m
Step-by-step explanation:
The unit not to be used to find the triangle area is 25 because it is the hypotenuse and to find the area of a triangle you only need base and height. The base would be 24.6 and the height would be 7.3, which would both be needed in the equation.
Can someone tell me what the coordinates are?
Answer:
(0, -4)
Step-by-step explanation:
find the length of the longest side in XYZ and find the perimeter . show work and don’t use me for points please
Answer:
Step-by-step explanation:
To find the perimeter of Δ XYZ when its longest side is 20, you can set up proportions to find the lengths of the sides, since the sides of similar triangles
Answer:
XZ = 6
Perimeter = 18
Step-by-step explanation:
8/4 = 12/XZ
8XZ = 48
XZ = 6
XY = 8
Perimeter = 18
(The two triangles are not to scale. The one on the right is drawn twice the size of the one on the left but actually is just half it's size.)
Also, the order of the letters in the congruency statement (triangle ABC is congruent to triangle XYZ) is important. If they had stated that triangle ABC is congruent to triangle ZYX, the relationship would not be 4/8 but 4/16. This would have resulted in entirely different answers. Instead of triangle XYZ being 1/2 the size of ABC, it would have been 1/4 it's size.
If the sidewall of a cubic structure have length 7m , then find the total surface area.
is this jhit right?
Answer:
Surface area of the cube = 294 m²
Step-by-step explanation:
Sidewall of a cube measures in length = 7 m
Formula for the surface area of a cube = Sum of the areas of all six sides of the cube
= 6 × (Side)²
= 6 × (7)²
= 6 × 49
= 294 m²
Therefore, surface area of the cube is 294 m².
Write an equation of the trend line in slope intercept form
Answer:
the answer for this question you have id number 8
will mark brainliest and give 5/5
Answer:
last one i gussing
Step-by-step explanation:
Answer:
i feel like its b but im so sorry if im wrong
Step-by-step explanation:
What is the range of the function y= 5-2x when the domain is {0,1,2,3}
Answer:
The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.
Step-by-step explanation:
GUYS PLEASE HELPP PLSPLSOLSOAKGDJXG
Answer:
Let S = starting point
Let ST = length of tunnel
SR = 1414 m
RT = 2236 m
Set up:
ST^2 + SR^2 = RT^2
ST^2 + (1414)^2 = (2236)
Solve for RT to find your answer.
Step-by-step explanation:
Which of the following conjectures is true for all cases about the lines in the image shown?
How do you find the base in the Pythagorean theorem, c=18, a=9, what is b?
Answer:
b = 15.59
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + b^2 = 18^2
81 + b^2 = 324
-81 -81
b^2 = 243
b = 15.59
Pythagorean Theorem -
[tex]a^{2} + b^{2} = c^{2} [/tex]
1 - Input the values!
[tex] 9^{2} + x^{2} = 18^{2} [/tex]
2. Find the exponents!
[tex]81 + x^{2} = 324[/tex]
3. Multi step Equations!
[tex]81 - 81 = 0 \\ 324 - 81 = 243[/tex]
4. Use square roots to find x!
[tex]x = \sqrt{243}[/tex]
Answer: X=The Square Root Of 243
When you rotate 90 degrees counterclockwise the (y) becomes?
Answer:
Step-by-step explanation:
Rotations About The Origin
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
A pen stand costs ₹120. How many pen stand can be bought for ₹1440
1440 divided by 120 = 12 pen stands
hope it helps:))
Pls answer it urgent pls I couldn't find answers for this anywhere Pls give answer with formulas and steps 4/9 ÷ -5/7
Answer:
-28/45
Step-by-step explanation:
Here, we want to find the result of a division
What we have to do here is to flip the fraction on the right hand side , then change the sign from division to multiplication
We have this as;
4/9 * -7/5
= -28/45
Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?
Answer:
The answer of this question is $68.
2i^20 + i^42
i^101 - i^2
Show Work
I assume you're talking about a fraction,
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)
Remember that i ² = -1; from this it follows that
i ³ = i ² × i = -i
i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1
i ⁵ = i ⁴ × i = i
i ⁶ = i ⁵ × i = i ² = -1
and so on. In particular, raising i to some integer multiple of 4 reduces to 1.
Using the above pattern, we find
i ²⁰ = 1
i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1
i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i
So, we have
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)
We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)
… = (-i + 1) / (-i ² + 1²)
… = (-i + 1) / (-(-1) + 1)
… = (1 - i ) / 2
or equivalently,
… = 1/2 - 1/2 i