Answer: Clara's body eliminated the antibiotic at the same rate as Heidi's body.
Step-by-step explanation:
1) Let's write the data of Clara's table just to have them ready to compare
t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41
Change(mg) - -12.77 -12.05 -11.43 -10.81
2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:
t (hours) 1 2 3 4 5
f(t) (mg) 283.8 268.48 253.98 240.26 227.29
Change (mg) -15.12 -14.5 -13.72 -12.97
Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.
please answer asap i need to know this like right now
Answer:
The roots of the functions are x = -1, 0, 2
Step-by-step explanation:
The roots of the function f(x) are the values of x at f(x) = 0To find the roots of a function from the graph of the function, find the points of intersection between the graph and the x-axis because on the x-axis f(x) = 0From the given graph
∵ The graph of the function intersects the x-axis in three points
→ That means the function has 3 roots
∴ The function represented by the given graph has 3 roots
∵ The graph intersects the x-axis at points (-1, 0), (0, 0), and (2, 0)
∴ The values of x-coordinates of these points are -1, 0, 2
∴ At f(x) = 0, x = -1, 0, 2
∵ The roots of the function are the values of x at f(x) = 0
→ That means the roots of the functions are x = -1, x = 0, and x = 2
∴ The roots of the functions are x = -1, 0, 2
The sum of 5 and twice a number is at most 27?
5 + 2x ≤ 27 is the answer
I thought a bleep who lost the baddest bleep said sum
Answer:
i did say something boo boo
Step-by-step explanation:
Answer:
They did, I believe bleep's last words were "One day all this will fade away."
Step-by-step explanation:
May I have brainliest please? :)
One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square units. Find the length of the longer base.
Answer:
The length of the longer base he 35 units
Step-by-step explanation:
Here, we want to find the length of the longer base of the trapezoid
Mathematically, we can find the area using the formula;
1/2( a + b) h
where a is the shorter base
b is the longer base
h is the height
Let the shorter base be x
The other base is 5 times this length and that makes 5 * x = 5x
Height is the average of both bases;
(x + 5x)/2 = 6x/2 = 3x
Substituting these in the formula, we have ;
1/2(x + 5x)3x = 441
3x(6x) = 882
18x^2 = 882
x^2 = 882/18
x^2 = 49
x^2 = 7^2
x = 7
But the longer base is 5x and that will be 5 * 7 = 35 units
You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .
Given:
The volume of the rectangular prism is
[tex]V=4x^3+5x^2-32x-33[/tex]
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
[tex]V=length\times breadth\times height[/tex]
It means, volume of a rectangular prism is the product of all dimensions.
We have,
[tex]V=4x^3+5x^2-32x-33[/tex]
Splitting the middle terms, we get
[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]
[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]
[tex]V=(x+1)(4x^2+x-33)[/tex]
Splitting the middle term, we get
[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]
[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]
[tex]V=(x+1)(x+3)(4x-11)[/tex]
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
the missing dimension is (4x-11).PLEASE ANSWER THIS ASAP !!!
Answer:
Step-by-step explanation:
Finding the answer to the second box is easy. Just look at where the line hits the y axis. That point is (0,5). Put a 5 in the second box.
-2
Now pick two points How about (0,5) and (2,1)
Givens
y2 = 5
y1 = 1
x2 = 0
x1 = 2
Formula
m = (y2 - y1) / (x2 - x1)
m = (5 - 1)/(0 - 2)
m = 4 / - 2
m = - 2
Answer
So the first box contains - 2
Let f(x) = 7x - 2, g(x) = -x + 4, and h(x) = -4x + 1.
Perform the indicated operation.
1. f(x) + g(x)
2. f(x) + h(x)
3. h(x) + g(x)
4. f(x) - g(x)
5. h(x) - f(x)
6. g(x) - h(x)
A sailor on Ship A measures the angle between Ship B and the pier and finds it to be 39°. A sailor on Ship B measures the angle between Ship A and the pier and finds that it is 58°. What is the measure of the angle between Ship A and Ship B?
The measure between Ship A and Ship B is
Answer:
[tex]83^{\circ}[/tex]
Step-by-step explanation:
Let [tex]C[/tex] be the point that denotes the pier.
[tex]m\angle B=58^{\circ}[/tex]
[tex]m\angle A=39^{\circ}[/tex]
The angle between A and B is C
[tex]m\angle A+m\angle B+m\angle C=180^{\circ}\\\Rightarrow m\angle C=180^{\circ}-(m\angle A+m\angle B)\\\Rightarrow m\angle C=180^{\circ}-(58^{\circ}+39^{\circ})\\\Rightarrow m\angle C=83^{\circ}[/tex]
The measure of the angle between Ship A and Ship B is [tex]83^{\circ}[/tex].
Which is the best estimate of the product of the fractions? 4/7x8/9x14/15
Answer:
is
Step-by-step explanation:
so I calculated this and I got a fraction
I got 64/135
Your painting company just completed one of the biggest jobs you've had. Based on that, you have been tasked with
an even bigger job. You calculated that you will have to paint a Surface Area with triple the dimensions of the
previous job. How much more paint will you need to buy?
9 times as much
6 times as much
2 times as much
3 times as much
Plz HURRY
Answer:
3 times
Step-by-step explanation:
if the surface area of the job is 3 times what you had before, you will need 3 times the paint.
plzzz help find the missing length indicated????
Answer:
The missing length is 64
Step-by-step explanation:
In the given figure
∵ The triangle is a right triangle
∵ There is a line drawn from the right angle ⊥ to the hypotenuse
→ There is a relation between the side of length 60, the part of the
length 36, and the length of the hypotenuse
∵ The length of the hypotenuse = x + 36
∴ (60)² = 36 × (x + 36)
→ Multiply the bracket by 36
∴ 3600 = 36(x) + 36(36)
∴ 3600 = 36x + 1296
→ Subtract 1296 from both sides
∵ 3600 - 1296 = 36x + 1296 - 1296
∴ 2304 = 36x
→ Divide both sides by 36 to find x
∴ 64 = x
∴ The missing length is 64
You spin the spinner twice. Find the probability of spinning a three and then a 4.
( There are 6 spaces)
Answer:
1/36
Step-by-step explanation:
chances of getting a 3 is 1/6 and a 4 is 1/6 multiply them and you get 1/36
Using the formula y = kx
If y is 27 when x is 3, what is the constant of variation?
Answer:
y=kx
y/x=kx/x (divided both side by x to find k)
k=y/x
k=27/3
k=9.
Angle RST and Angle GSH are vertical angles. Angle RST = 5b + 20 and
Angle GSH = 7b - 4. What is the measure of Angle RST?
.
Answer:
The measure of angle RST is 80
Step-by-step explanation:
Since they are vertical angles, then they must be equal as vertically opposite angles are equal
Thus;
5b + 20 = 7b - 4
7b - 5b = 20 + 4
2b = 24
b = 24/2
b = 12
But RST = 5b + 20
substitute for b
RST = 5(12) + 20
RST = 60 + 20
RST = 80
Which expression represents an irrational number?
A. 0.18 repeating. B. √75. C. 2/3. D. √3-√3
The expression represents an irrational number are B. √75 and D. √3-√3 .
What are irrational number?
Any number that cannot be expressed as the quotient of two integers i.e. p/q.
A. 0.18 = 18/100
⇒ it is expressed as quotient of two integers p/q.
∴ 0.18 is a rational number.
B. [tex]\sqrt{75}[/tex]
⇒it is not expressed as quotient of two integers p/q.
∴ It is an irrational number.
C. 2/3
⇒it is expressed as quotient of two integers p/q.
∴ 2/3 is a rational number.
D. √3-√3
⇒ √3-√3 is not expressed as quotient of two integers p/q.
∴ B. √75 and D. √3-√3 are irrational numbers.
More about irrational number :
https://brainly.com/question/507420
#SPJ2
A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h at timet seconds after
launch is given by the equation h(t) = -16t2 + 128t + 12. How many
seconds until the rocket is 40 feet?
0.23 seconds
4.5 seconds
5.67 seconds
7.77 seconds
8.09 seconds
11.34 seconds
12.52 seconds
Answer:
The rocket is at 40 feet after 7.77 seconds.
Step-by-step explanation:
[tex]h(t) = -16t^{2} + 128t + 12\\40= -16t^{2} + 128t + 12\\16t^{2} - 128t + 28 = 0\\4(4t^{2} - 32t + 7) = 0\\[/tex]
We use the quadratic formula to solve for t.
[tex]t=\frac{32+\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32+\sqrt{1024-112} }{8}\\t=\frac{32+\sqrt{912} }{8}\\t=4+\frac{\sqrt{57} }{2}\\t=\frac{32-\sqrt{32^{2}-4*4*7} }{2*4} \\t=\frac{32-\sqrt{1024-112} }{8}\\t=\frac{32-\sqrt{912} }{8}\\t=4-\frac{\sqrt{57} }{2}[/tex]
We take the positive answer which is 7.77
n - 3 11/12 = 8 6/7 What is n?
Part B and part C
The function is f(x)=x^2+7x-8
Rewarding 18 points !!!!
please help my sister needs to turn this in soon
Snowy Mountain in Alaska has an elevation of 7,093 feet. Together, Snowy
Mountain and Mammoth Mountain in California have a combined elevation of
18, 152 feet. What is the difference in elevation between Snowy Mountain and
Mammoth Mountain?
The difference in elevation between Snowy Mountain and Mammoth Mountain is
feet.
Answer:
11,059
Step-by-step explanation:
If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.
Answer:
I believe 3966
Step-by-step explanation:
18152-7093=11059
11059-7093=3966
18 Probability
2
A six-faced dice is thrown. What is the
probability of throwing:
Answer:
18 ÷6=3
Step-by-step explanation:
pls make me ur brainliest
f^uck youion:aaaaaaacdagrtdsfgcxv
HELP ASAP DUE TODAY PLZ HELP
Solve the equation for x.
17=5+23x
Answer:
x=12/23
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
cellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128
Answer:10.3
Step-by-step explanation:
WILL GIVE BRAINLEST!!!!!!!!!!!!!! ANSWER ASAP!!!!!!!!!!!!
The equation y = 1.5x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether (18, 12) is a point on the graph of this proportional relationship.
A. yes
B. no
Answer:
B:NoStep-by-step explanation:
Its because 1.5x number of dried × x =? So we determine that its 18 but no otsnot 18, 12 not the point rather its 12,15.
Your MOM has a 72 boyfriends and your dad see your mom cheating on you by kissing them and 9 of them jump off the window how many boyfriends are in the room still?
Given:
Total number of boyfriends = 72
Number of boyfriends who jump off the window = 9
To find:
The remaining number of boyfriends.
Solution:
We need to subtract the number of boyfriend who jump off the window from the total number of boyfriends to get the remaining number of boyfriends.
[tex]\text{Remaining boyfriends}=72-9[/tex]
[tex]\text{Remaining boyfriends}=63[/tex]
Therefore, the number of remining boyfriends is 63.
Answer:
About 79 million
Step-by-step explanation:
Answer:
a lot
89 x 67= 292829
So hence that's the answer
Hope this helps! :)
Kelsey painted 1/4 of her bedroom in 3/7 of an hour. At this rate, how long would it take her to paint the entire room? (5 points)
A3/28 of an hour
B 28/3of an hour
C12/7of an hour
D 7/12 of an hour
Answer: can we be friends I’m homeless and live at the Krusty Krab
Step-by-step explanation:
If a city with a population of 50,00 doubles in size every 12 years, what will the population be 24 years from now?
Answer:
20,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 x 2 = 20,000
Step-by-step explanation:
So this is the way I would look at this like, you could say that since it doubles by x2 every 12 years by 24 years it would or could be 200,00 since you have doubled once already from 50,000 to 100,000 on the 12 years your gonna multiple that by 2 as well since you have reached your year mark.
that's personally the way I would look at it but I'm sure other people will ne able to help aswell or change mine.
what is the
approximate age of an American elm tree with a diameter of 12
inches?
A 24 years
B. 36 years
C. 40 years
D. 48 years
-El papá de Susana es carpintero y en su trabajo utiliza clavos y tornillos de distintas medidas. Ahora, le advirtieron que dentro del muro hay una tubería a 4 centímetros del lugar en el que clavará las maderas. Por lo que Susana quiere saber qué clavos usará su papá. Pero como la medida de los clavos viene en pulgadas, ella quiere conocer la medida en centímetros, para saber qué medida de clavos no dañaría la tubería. Completa la siguiente tabla, convirtiendo la medida de los clavos de pulgadas a centímetros. ¿Cuáles clavos debe usar el Papá de Susana para no dañar la tubería?
Answer:
la tabla no esta, asi que busque la pregunta por interenet y encontre lo siguiente:
medida de los clavos equivalencia en
en pulgadas centimetros
1 pulgada 2.54 cms
¹/₂ pulgada 2.54 x 0.5 = 1.27 cms
³/₄ pulgada 2.54 x 0.75 = 1.905 cms
¹/₈ pulgada 2.54 x 0.125 = 0.3175 cms
3¹/₂ pulgadas 2.54 x 3.5 = 8.89 cms
Simplify each expression 2m+6(2/3-m);m=4
Answer:
3 (m-2)-5=8-2 (m-4)
Step-by-step explanation:
please mark me as brainliest.
Answer:
-12
Step-by-step explanation:
Which cost category in the table shows an example of direct variation?
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario?
What would be the total cost for office expenses for 24 months?
Answer:
Which cost category in the table shows an example of direct variation? WEED-HAND
The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x
What would be the cost for office expenses for 24 months? $1512.00
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c