Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
how many 5 seater taxis do you need for78 people
Step-by-step explanation:
Answer: 78 /5 = 15.6 = 16 taxis. Step-by-step explanation: I HOPE THIS WILL HELP YOU AND MARK IT AS BRAINLIEST ANSWER PLEASE.
Sort all of the following triangle side lengths into if each set would form a right, acute, or obtuse triangle.
Answer:
acute, acute, obtuse*, right, obtuse
Step-by-step explanation:
The Pythagorean theorem is used as a reference for classifying triangles from their side lengths. If the sum of the squares of the short sides is equal to the square of the long side, then the triangle is a right triangle. If the long side is too short, then triangle is acute. If the long side is too long, the triangle is obtuse.
__
The math can be tedious, so it is convenient to let a spreadsheet do it. The results are attached.
The first two triangles are acute; the 4th one is a right triangle, and the remaining two are obtuse.
_____
Additional comment
* Note that triangle #3, with side lengths 2, 4, 6, is classified as "obtuse" because the largest angle is greater than 90°. In fact, with those side lengths, the largest angle is 180°. Some would argue it isn't a triangle at all because its area is 0 and it looks like a line segment.
(Our spreadsheet doesn't care if the triangle inequality is not satisifed. It is only concerned with the Pythagorean theorem.)
(1 point)
A hot air balloon is launched from the ocean beach. As it moves inland, it rises and then falls, having a path given by
p(x)= - 2x^2/2500 +0.7x where x is in metres. The land rises at a rate of 2 vertical metres for each 20 horizontal metres. See the
diagram
a. At what horizontal distance does the balloon reach maximum height above sea level?
b. What is the maximum height of the balloon above seal level?
c. What is the maximum height of the balloon above ground level?
m and
d. At what horizontal distance is the balloon 50 m above the ground? List the smaller value first.
The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion
The horizontal distance which it attains a maximum heightThe function is given as:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Differentiate
[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]
Set to 0
[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]
Subtract 0.7 from both sides
[tex]-\frac{4}{2500}x =- 0.7[/tex]
Multiply through by -2500/4
[tex]x =437.5[/tex]
Hence, the horizontal distance which a maximum height is attained is 437.5 meters
The maximum height above the sea levelIn (a), we have:
[tex]x =437.5[/tex]
Substitute [tex]x =437.5[/tex] in p(x)
[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]
Evaluate
[tex]p(437.5) =153.125[/tex]
Hence, the maximum height above the sea level is 153.125 metres
The maximum height above the ground levelIn (b), the maximum height above the sea level is 153.125 metres
The ratio of the height on land and sea is given as:
Land : Sea = 2 m : 20 m
For the maximum height, we have:
Land : 153.125 m= 2 m : 20 m
Express as fraction
Land / 153.125 m = 2 /20
Multiply both sides by 153.125
Land = 15.3125
Approximate
Land = 15.3
Hence, the maximum height above the ground level is 15.3 meters
The horizontal distance where the balloon 50 m above the groundWe have:
[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]
Substitute 50 for P(x)
[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]
Using a graphing calculator, we have:
x = 78.465 and 796.535
Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters
Read more about projectile motion at:
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Ron has a co-op in the Astor Cooperative development. There are 40,000 shares in the cooperative ownership. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?
Answer:
Ron owns 1.25% of shares.
Step-by-step explanation:
400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.
The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for .
centimeters
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = 62.8cmπ = 3.14r = ?Knowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]
So, the radius of this circle is 10cm.
Hope this helps!
The number 2 in the expression 5 + 2x is called the
coefficient of x. How does changing the coefficient to
6 change the meaning of the expression?
Changing the coefficient of x to 6 changes the meaning of the expression as 5 is added to 6 times x
Solution:
Given that number 2 in the expression 5 + 2x is called the coefficient of x
We are asked to find what happens when changing the coefficient to 6 changes the meaning of the expression
In the expression,
5 + 2x
This means 5 is added to 2 times x or 5 is added to twice of x
Number 2 is called the coefficient of x
When we change this coefficient to 6, the expression becomes,
5 + 6x
So now the meaning of expression becomes,
5 is added to 6 times x
So changing the coefficient of x changes the meaning of the expression
Please help 300 points
Answer:
4x + 9 ≥ 0
Step-by-step explanation:
The inside of the square root, the radicand, cannot be negative.
It can only be zero or positive.
Zero or positive is also described as being greater than or equal to 0.
Set the radicand to be greater than or equal to zero.
4x + 9 ≥ 0
Answer:
4x+9>=0
Step-by-step explanation:
The domain of a square root is that it can’t be less than 0. So we have the equation 4x+9>=0.
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
on
Find the distance between -1/2 and 1 2/3
on
a number line.
units
Answer:
Step-by-step explanation:
1 2/3 -(-1/2)
=5/3+1/2
[tex]=\frac{10+1}{6} \\=\frac{11}{6} \\=1\frac{5}{6}[/tex]
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
[tex]x = 3 = x = 4 > - 4 > < - 3 = x = 4[/tex]
And the numbers are equal
[tex]x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12[/tex]
Solve each of the following equations. Show its solution set on a number line. Check your answers. 3(x-2)=12
PLS HELP WILL GIVE BRAINLIEST
x = 6
Step-by-step explanation:
[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]
Answer: (negative solution): x=-2, (positive solution): x=6
What is the outlier for the data set? PLS HELP I REALLY NEED HELP :(
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90
Answer:
6 3 5 6 8 8
Step-by-step explanation:
number is farthest apart from others
Answer:
The correct answer is 90
Step-by-step explanation:
90 is the biggest number in the number set so therefore it is an outlier.
Have an amazing day!!
Please rate and mark brainliest!!
On a recent math assignment consisting of 32 problems, Wendy had 5 application problems, and the
rest involved only computation. What percent of the problems were only computation?
Answer:
84.375%
Step-by-step explanation:
Total no. of computation problem=32-5=27
Total no. problems in the assignment=32
=) per%= 27/32×100%=84.375%
PLS MARK ME AS BRAINLIEST
What is the answer for this question?
Answer:
is this from flvs?
Step-by-step explanation:
You need 3 sticks of butter for every 24 giant cookies you bake.
Answer:
Sticks of butter : 2
Number of cookies : 40
Step-by-step explanation:
Given that :You need 3 sticks of butter for every 24 giant cookies you bake.
----------------------------------------------------------------------------------------------------------
Sticks of butter Number of cookies
3 24
x 16
5 y
----------------------------------------------------------------------------------------------------------
Let the unknown be x and y..
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 24/3 = 8
Since the number of cookies is 16 then 16/8 = 2
Thus x = 2
Next for y.
Since you need 3 sticks of butter for every 24 giant cookies you back
Then 5 * 8 = 40
Thus, y = 40
----------------------------------------------------------------------------------------------------------
Completed table below:
Sticks of butter Number of cookies
3 24
2 16
5 40
----------------------------------------------------------------------------------------------------------
~lenvy~
Answer:
See below ↓
Step-by-step explanation:
Given
You need 3 sticks of butter for every 24 cookiesBase rate
no. of butter sticks / no. of cookies3 / 241 stick of butter for every 8 cookies16 cookies
No. of sticks = 16/8No. of butter sticks = 25 butter sticks
No. of cookies = 8 x 5No. of cookies = 40Which list of numbers could be used to name each point plotted on the number line?
A nuimber line goes from 3.45 to 3.6 in increments of 0.01. Blanks are located as follows: above the first tick mark after 3.45, above the second tick mark after 3.45, above the third tick mark after 3.5, and above the first tick mark after 3.55.
Answer:
Step-by-step explanation:
numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}
Help help help help math
Answer:
(-8, 12)
Step-by-step explanation:
Dilation of point (-4, 6) about point (0, 0)
Scale factor = 2
Image coordinate:
(-8, 12)
hope this helps and is right!! p.s. i really need brainliest :)
Based on a survey, assume that 35% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected,
delivery by drones. Identify the values of n, ×, p, and q.
Answer:
Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.
Step-by-step explanation: hopes this helps you!
The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?
Answer:
176cm
400 times
Step-by-step explanation:
A cake for 6 people requires 4 eggs.How many eggs are needed to make a cake big enough for 9 people
Answer:
6
Step-by-step explanation:
Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9
(4÷6) x9
which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up
Answer:
A. shifted 3 units left and 2 units up
Answer:
shifted 3 units left and 2 units up
Solve -5(3n + 4) = 40.
PLEASE HELP PLEASE I WILL GIVE BRAINLIEST
Answer
Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.
5.Find the area of the parallelogram. *
10 m
16 m
8 m
16 m
10 m
Answer:
128 because formula is bh
Step-by-step explanation:
Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.
Answer:
Amount Robert will pay back = $434.04
Step-by-step explanation:
Formula for interest is;
I = (P * R * T)/100
We are given;
P = $390
Rate = 18%
Time; T = 229 days = 229/365
Thus;
I = (390 * 18 * (229/365))/100
I = $44.04
Thus, total amount Mario will pay back = $390 + $44.04 = $434.04
Help me please anybody. And I am in my school iPad
Answer:
(0,5)
Step-by-step explanation:
I'm really not sure but I'm pretty positive that this is the answer if not than my bad
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
A clock was reading the time accurately on Friday at noon. On Monday at 6pm the clock was running late by 468 seconds. On average, how many seconds did the clock skip every 30 minutes?
3
4
5
6
The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds
What is the clock skip reading?We know that from time conversion;
1 day = 24 hours
1 hour = 60 minutes = 2 × (30 minutes)
1 day = 24 hours × 2 × (30 minutes)
1 day = 48 × (30 minutes)
Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.
Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;
Friday = 48 × (3/4) = 24
Saturday = 48
Sunday = 48
Monday = 48 × (3/4) = 36
Total times = 24 + 48 + 48 + 36 = 156
Thus, it means that there was 156 times of 30-minutes that have passed during the time period.
x = 468 seconds ÷ 156
x = 3 seconds
Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.
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A can of soda can be modeled as a right cylinder. Aubrey measures its height as 10.1
cm and its circumference as 14 cm. Find the volume of the can in cubic centimeters.
Round your answer to the nearest tenth if necessary.
The volume of the cylinder is the amount of space in the cylinder
The volume of the cylinder is 218.4 cubic centimeter
How to determine the volume of the cylinder?The given parameters are:
Circumference (C) = 14 cm
Height (h) = 10.1 cm
Start by calculating the radius (r) using:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]2\pi r = 14[/tex]
Make r the subject
[tex]r =\frac 7\pi[/tex]
The volume of the cylinder is then calculated as:
[tex]V =\pi r^2h[/tex]
This gives
[tex]V =\pi * (\frac{7}{\pi})^2 * 14[/tex]
Evaluate
[tex]V =218.4[/tex]
Hence, the volume of the cylinder is 218.4 cubic centimeter
Read more about volumes at:
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An exponential function has a growth factor or 3.76. What is the percentage growth rate?
The exponential function with a growth factor has a rate greater than 1
The percentage growth rate is 276%
How to determine the percentage growth rate?The growth factor (b) is given as:
b = 3.76
The growth factor (b) is greater than 1.
So, the percentage growth rate (r) is calculated as:
r = b - 1
Substitute known values
r = 3.76 - 1
Evaluate the difference
r = 2.76
Express as percentage
r = 276%
Hence, the percentage growth rate is 276%
Read more about exponential functions at:
https://brainly.com/question/11464095