The amount of medicine in the bloodstream decreases by 25% each hour.
Exponential equationThe standard exponential equation is expressed as:
y = ab^x
a is the initial amount
b is the rate
If b < 1, hence there is a declince
Given the expoenentia equation A(h)=600(0.75)^h,
b = 1 - r = 0.75
r = 1 - 0.75
r = 0.25
This shows that the amount of medicine in the bloodstream decreases by 25% each hour.
Learn more on exponential equation here: https://brainly.com/question/12940982
Short Answer
1. A classroom contains 18 girls and 24 boys. Write the ratio of girls to boys in the classroom as
a fraction in lowest terms.
Solve the proportion. Check your solution.
18 : 24
6 : 8
3 : 4
3 boys to 4 girls is the answer
32, 27, 29, 24, 26, 21, 23 , _____
Answer:
18
Step-by-step explanation:
21 - 3 = 18
Numbers 1, 3, 5, 7 go down in 3s
Numbers 2, 4, 6, and 8 go down in 3s
If you need further explanation, let me know!
- profparis
Answer:
18
Step-by-step explanation:
Let's first find out the pattern
32-27 = 5
29 - 27 = 2
29 - 24 = 5
24 - 26 = 2
26 - 21 = 5
21 - 23 = 2
23 - 18 = 5
Pattern = Subtract 5 , Add 2
Since at 23 - 18 = 5
Therefore the next one is subtract 5
Hence, 23 - 5 = 18
[RevyBreeze]
Find the solution of the system of equations
Answer:
[tex]\boxed{\tt (-2,3)}[/tex]
Step-by-step explanation:
[tex]\tt -10x-5y=5\\ \underline{-4x+5y=23}\\-14x=28[/tex]
[tex]\tt x=-2[/tex]
[tex]\tt y=3[/tex]
[tex]\tt (x,y) --\: \boxed{\tt (-2,3)}[/tex]
~
(PLEASE HELP!!)
Shayley wants to buy 20 bottles of water for her trip to the Grand Canyon. A pack of 45 water bottles costs $19.99, but one water bottle is priced at $1.50. Would it be cheaper for Shayley to buy the pack or the water bottles individually?
Answer:
it would be cheaper to buy a pack of 45.
Step-by-step explanation:
Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30
Select all of the equations that are true.
A.2/4=4/8
B..3/5=15/30
C.2/3=2/5
D.8/5=16/15
E.1/3=3/9
help me ASAP
Answer:
A.2/4=4/8 and E.1/3=3/9
Step-by-step explanation:
A is right because 4/2=2 and 8/4=2.E is right because 1*3=3 and 3*3=9.
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?
Answer:
Profit = $1 x Quantity - $50
PLEASE HELP ASAP:((! For a given function ƒ(x), the operation 1∕2ƒ(x) will______? Question options:
A) stretch the graph vertically by a factor of 2.
B) stretch the graph horizontally by a factor of 2.
C) shrink the graph horizontally by a factor of 1∕2.
D) shrink the graph vertically by a factor of 1∕2.
Answer:
D
Step-by-step explanation:
Shrink the graph vertically by a factor of 1/2 :)
I got it right of the test
The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle
Answer:
above is the solution to the question
15 POINTS PLEASE HELPP
[0,2]
[2,6]
[6,10]
40 points! First answer gest brainliest! A 9th grade teacher at a local high school wants to know which subject the 9th grade students in school like the best.
Which group of people should make up a sample that will best answer her question?
A. Other 9th grade teachers in her school
B. Parents of 9th graders in her school
C. 9th graders in her school
D. 9th graders in her homeroom
Answer
9th graders in her school
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is wrong because the teachers are not in 9th grade.
B is wrong because parents are not in 9th grade
D is wrong because the homeroom does not represent the entirety of 9th grade
Write an equation of the line that passes through point (2,-4) and has the slope m= 1/2
y =
Answer:
tHe can discuss intelligently the current political affairs. Television is a machine that ought to be used intelligently. It is necessary to think intelligently before performing any action.
Step-by-step explanation:
What is the circumference of a circle with a radius of 3.6 units,I don’t really know how to do this because I’m new to this kind of math.
Answer:
22.608 units
Step-by-step explanation:
Basically, the circumference of a circle is the distance around a circle, sort of like the perimeter of a figure. It has a unique formula which is [tex]C=2\pi r[/tex] where [tex]r[/tex] is the radius, which is the distance between the circle and its center. Using our given information, we can find the circumference:
[tex]C=2\pi r\\C=2(3.14)(3.6)\\C=22.608[/tex]
Therefore, the circumference of a circle with a radius of 3.6 units is 22.608 units.
Answer:
Circumference is...
22.608Step-by-step explanation:
Multiply the radius by 2 to get the diameter.
Multiply the result by π, or 3.14 for an estimation.
That's it; you found the circumference of the circle.
Hope it helps!!!!!brainliest pls!!!!!!!!dont worry I already took this lesson.
Someone pls help?????????????????????????
Answer:
p=m*9+9
So 45/4=9
9*4=36
36+9=45
Check with table
5*9=45
45+9=54
6+9=54
63+9=63
7+9=63
63+9=72
So as you can se the equation is p=9*m+9
Hopes this helps!
What is the equation for g(x)g(x)g, left parenthesis, x, right parenthesis ? Choose 1 answer: Choose 1 answer: (Choice A) A g(x)=\left|x+0.2\right|g(x)=∣x+0.2∣g, left parenthesis, x, right parenthesis, equals, open vertical bar, x, plus, 0, point, 2, close vertical bar (Choice B) B g(x)=|x-0.2|g(x)=∣x−0.2∣g, left parenthesis, x, right parenthesis, equals, vertical bar, x, minus, 0, point, 2, vertical bar (Choice C) C g(x)=-0.2|x|g(x)=−0.2∣x∣g, left parenthesis, x, right parenthesis, equals, minus, 0, point, 2, vertical bar, x, vertical bar (Choice D) D g(x)=0.2|x|g(x)=0.2∣x∣
Answer:
How do the graphs of the functions f(x) = ()x and g(x) = ()x compare? The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Answer:
C
Step-by-step explanation:
Cos^2x + tan^2x cos^2x = 1
I need help verifying the trig function with steps.
Step-by-step explanation:
answer is provided in picture
A library has an aquarium in the shape of a rectangular prism. The base is 6 ft by 2.5 ft. The height is 4 ft. How many square feet of glass was used to build the aquarium?
Step-by-step explanation:
Solve the problem step by step.
First,
Base area: 6 * 2.5 = 15
Then,
The area of the two smallersides:
2.5 * 4 = 10
10 * 2 = 20
After that,
The area of the two larger sides:
6 * 4 = 24
24 * 2 = 48
After all of the calculations, you add all of the sums up:
15+20+48
Which equals 83.
The equation form for this problem would be:
(6*2.5) + 2(2.5*4) + 2(6*4) = 83
Hope this helps and it wasn't too confusing!
John gave half of his stamps to Jim. Jim gave half of his stamps to Carla. Carla gave 1/4 of the stamps given to her to Thomas and kept the remaining 12. How many stamps did John start with?
Answer: 64 stamps
Step-by-step explanation:
Let the number of stamps John started with be J.
After giving half to Jim, he would have J/2 left.
After giving half to Carla he would have J/4 left and Carla would also have J/4.
After Carla gave 1/4 to Thomas, she would keep (3/4)*(J/4) = 3J/16 stamps. We are given that this equals 12.
Therefore, 3J/16 = 12
Multiply both sides by 16:
3J = 192
Divide both sides by 3:
J = 64
m) A twelve-metre length of rope is cut into two, so that one
piece is three times as long as the other. How long is the shorter
piece?
Answer:
A four-meter long rope
Step-by-step explanation:
4 * 3 = 12
Answer:
I think its 11
Step-by-step explanation:
Please help me Quick!!
Amelia needs to buy some dog food. At the nearest store, 3 bags of dog food cost $11.25. How much
would Amelia spend on 6 bags of dog food?
Amelia would spend $
on 6 bags of dog food.
Step-by-step explanation:
She's buying twice the bags
So for 2(3) bags, it will cost 2(11.25)
This $22.50
The function f(x)= x2 has been translated 9 units up and 4 units to the right to form The Function g(x). Which represents g(x)
Answer: The third choice is the answer.
Step-by-step explanation:
If the original function is x^2, then to translate it 4 units to the right you need (x - 4)^2, and if you want to translate it 9 units up you simply add +9 outside the parenthesis.
The art club had an election to select a president. 75% of the 60 members of the club voted in the election.How many members voted?
Answer:
45 people
Step-by-step explanation:
It appears that I know the answer to this question.
what is the range of 2 4 2 6 1
Answer:
Population size:5
Lowest value: 1
Highest value: 6
Range: 5
Thanks!
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0. 85an – 1. What is a1? feet What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places. Feet.
The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula
[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]
a₀ = 10 feet
For n = 1, the height will be
[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]
For n = 2, the height will be
[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]
For n = 3, the height will be
[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]
More about the Algebra link is given below.
https://brainly.com/question/953809
Answer:
First one is 10
The next is 6.141
Step-by-step explanation:
edg answer
Directions: Fill in the missing words to complete the meaning. Choose your answer
from the choices given inside the box. Copy and answer on a sheet of paper.
decimal point
hundred
lowest
numerator
percent
Percent means per (1)
Percent can be written as a ratio with 100 as
the second term or a fraction with 100 as the denominator. It can also be written as
decimal number
To change percent to fraction, remove the percent sign and write the number as
the (2), then write 100 as denominator. Change the fraction to (3)
term
In writing percent to decimal, remove the percent sign, then move the (4)
twice to the left. In changing decimal to (5)
we move the
decimal point twice to the right and affix the percent sign.
Answer:
(1) Hundred
(2) Numerator
(3) Percent
Step-by-step explanation:
right circular cylinder has a radius of 5 cm and a height of 10 cm. What is the volume of this cylinder in terms of? (Pls help)
Answer:
250 pi
Step-by-step explanation:
volume = 5^2 x pi x 10 = 250 pi
The relative frequency of Event A in an experiment is 20%. If the experiment is performed 40 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Step-by-step explanation:
look at a die, for example.
the probabilty to roll a 6 is 1/6 (if all numbers truly have the same probability due to a perfectly balanced die).
so, you expect as a mean value that you have to roll the die 6 times to get one 6.
now in our general example :
20% = 1/5
so, we expect event A to happen once as a mean value every 5 attempts.
now we do 40 attempts. that means 8×5 sets of attempts.
and we therefore expect to see event A 8 times.
What is the difference of 6 and 2 1/5?
Answer:
3 4/5
Step-by-step explanation:
6- 2 1/5= 5 5/5-2 2/5= 3 4/5
The equation of a line is y = 3 - 4x What is the y-intercept of the line?
help :')
Answer:
y-intercept is 3
The point where the line intercepts the y-axis is (0, 3)
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
Given equation of line: [tex]y=3-4x[/tex]
Rearrange: [tex]y=-4x+3[/tex]
Therefore, the slope of the line is -4 and the y-intercept is 3.
FYI the line intercepts the y-axis when x = 0, so you can input x = 0 into the equation to find y ⇒ (0, 3)
Answer:
The y-intercept of the line is 3.
Step-by-step explanation:
Formula: y = mx + b
y = 3 - 4x
y = -4x + 3
On the formula, "b" means y-intercept. Therefore, the y-intercept of the line is 3.
Question is down below:
Answer:
x=16°
x+46°=62°(The external angle formed by the base of a triangle is equal to the sum of the two intersecting angles.)
x=62°-46°
x=16°
The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?
Answer:
(x-4)(x+5) or x^2+x-20
Step-by-step explanation:
If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.
The same goes for if a root is -5. it will simplify to x+5.
These are called factors of a quadratic equation.
Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20
Answer:
Standard Form: [tex]y = x^2 + x - 20[/tex]
Factored Form: [tex]y = 1(x -4)(x +5)[/tex]
Step-by-step explanation:
Hello!
We can utilize the factored form of a quadratic to find the equation.
Factored Form of a Quadratic: [tex]y = a(x -h)(x - k)[/tex]
h and k are the rootsWe simply plug in the values of the roots and expand to find the equation. Replace "a" with 1.
Expand[tex]y = a(x +h)(x + k)[/tex][tex]y = 1(x -4)(x +5)[/tex][tex]y = 1(x^2 + x - 20)[/tex][tex]y = x^2 +x - 20[/tex]The quadratic equation [tex]y = x^2 + x - 20[/tex] has the roots 4 and -5.