Answer: [tex]C(t) = 120(1-0.30)^t[/tex]
Step-by-step explanation:
Exponential equation for decay:[tex]y= A(1-r)^t[/tex], where A = initial value, r= decay rate , t= time.
As per given, A = 120ml , r= 0.30
[tex]C(t) = 120(1-0.30)^t[/tex]
Hence, the required function that gives the medicine's concentration in milligrams per liter, C(t), t hours after the medicine was injected.
[tex]C(t) = 120(1-0.30)^t[/tex]
The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?
Answer:
3:5:6
Step-by-step explanation:
because there are 3 sheep 5 vows and 6 pigs
Figure A is a scale image of Figure B what is the value of x
Answer:
72
Step-by-step explanation:
20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.
10. It rained 375 inches in 15 hours. At this rate, how much will
it rain in 35 hours? Answer in decimal form.
Answer:
875
Step-by-step explanation:
375 divided by 15 =
25
25 times 35 =
875
Dividing 375 by 15 shows how much it rains per hour
Then times that by the number of hours to get your answer
Answer:
Step-by-step explanation:
Set this up as a proportion with the number of inches of rain on the top and the number of hours it rained on the bottom.
[tex]\frac{in.}{hrs}:\frac{375}{15}=\frac{x}{35}[/tex] and cross multiply to solve for x:
15x = 13125 so
x = 875 inches
2. Priscilla is drawing a map of her school that uses a scale in which 1.5 cm 1 point
on the map represents 3 ft. If the first hallway has a length of 120 ft, what
should the length of the hallway be on the map?
O
a. 40 cm
b. 60 cm
C. 30 cm
d. 45 cm
Answer:
The answer is 60cm. (b)
Step-by-step explanation:
For every 1.5cm on the map, it represents 3 ft on real-size scale.
In other words, for every 1cm on the map, it represents 3/1.5 = 2ft on real size scale.
If you want to find 120ft of real-size scale, you can use 120ft/2ft * 1cm which gives 60cm
What is the perimeter of triangle XYZ?
Answer:
126
Step-by-step explanation:
Factor x2 – 19x – 20 completely.
Answer:
Step-by-step explanation:
x^2-19x-20
=x^2-(20-1)x-20
=x^2-20x+x-20
=x(x-20)+1(x-20)
=(x-20)(x+1)
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? A. There were 2,451 boys surveyed and about 29% of them play video games. B. There were 2,996 girls surveyed, and about 45% of them play video games. C. There were 5,447 students surveyed, and about 54% of them do not play video games. D. There were 2,493 students surveyed, and about 34% of them are girl who do not play video games.
Answer:
c
Step-by-step explanation:
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
What is the sum of the pink and green area?
Answer:
I think the answer is 11x
Answer:
11x
Step-by-step explanation:
Pink area = 6x
Green area = 5x
Total (sum) = 6x+5x =11x
IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
ys-2x + 10
1x-2
2
y>
1
OK
6 7 8 9 10
answer?? please help
Answer
where is the ?
Step-by-step explanation:
The inverse of the function f(x) = one-half x plus 10 is shown. h(x) = 2x- What is the missing value? 1 5 10 20
Answer:
20
h(x) = 2x - 20
Step-by-step explanation:
f(x) = ¹/₂ x + 10
First, isolate x, like so:
f(x) - 10 = ¹/₂ x
x = 2(f(x) - 10)
x = 2f(x) - 20
Now, simply switch f(x) with x and x with h(x), like so:
h(x) = 2x - 20
Answer:
the answer is 20
Step-by-step explanation:
took the test on edge
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
Which exponential function is represented by the graph
Answer:
the answer is "B" the second one...
(1/2)(2)^x
at
0 = (1/2)(1) = 1/2
2= (1/2)(4) = 2
Step-by-step explanation:
Hurry!
Solve for X, Round to the nearest tenth, if necessary
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
x(x+2) + y (x + 2) - 5(x + 2)
factor
Answer:
x² + xy - 3x + 2y - 10
Step-by-step explanation:
x(x + 2) + y(x + 2) - 5(x + 2)
x² + 2x + y(x + 2) - 5(x + 2)
x² + 2x + xy + 2y - 5(x + 2)
x² + 2x + xy + 2y - 5x - 10
x² - 3x + xy + 2y - 10
x² + xy - 3x + 2y - 10
Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?
Answer:
No, the poster would not fit in the frame
Step-by-step explanation:
A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.
A square is a quadrilateral in which all sides are equal.
Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:
Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²
Since the square frame has the same area as the rectangular frame, hence:
Area of square frame = length * length
length² = 1200
length = √1200 = 34.64
Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.
Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
What is the Tenth term of 3n+2
Is this statement true or false?
It is a good idea to check the car history using an online site.
O true
O false
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
Which sign makes the statement true?
9
No
12
12
<
=
Answer:
12=12Step-by-step explanation:
#hopeithelpsstay safe and keep wellmark me as brain liest plsFind the value of x.
Answer:
100
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
5+x +75 = 180
Combine like terms
x+80 = 180
Subtract 80 from each side
x +80-80=180-80
x = 100
Answer:
x=100°
Step-by-step explanation:
(5+x)°+75°=180°(being a straight line)
x=100°
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
(m2-m-4)+(m-5) (1 point)
Answer:
2−9
Step-by-step explanation:
You take redundant away, then do subtract, then combine terms. It will give solution.
