Given:
[tex]f(x)=12(0.82)^x[/tex]
where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
To find:
The remaining mg in her bloodstream after 2 hours.
Solution:
The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function
[tex]f(x)=12(0.82)^x[/tex]
Putting x=2, we get the remaining mg in her bloodstream after 2 hours.
[tex]f(2)=12(0.82)^2[/tex]
[tex]f(2)=12(0.6724)[/tex]
[tex]f(2)=8.0688[/tex]
Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.
Answer:
8.07
Step-by-step explanation:
...
4. A formula used for calculating velocity is v=1/2at^2
Step-by-step explanation:
You're sure?
But I thought that for calculating distance
5 divided by 9/10 :))
*please be serious*
*solve for y*
Answer:
i cant answer it without x or at least some more stuff in the question, the only thing i can rlly say is 9x+2 maybe
Step-by-step explanation:
Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m
Answer:
y=−34x+2.75
Step-by-step explanation:
Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
3x + 4y = 12
4y = –3x + 12
y = –(3/4)x + 3
slope = –3/4
We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
2 = –3/4(1) + b
2 = –3/4 + b
b = 2 + 3/4 = 2.75
Plug the y-intercept back into the equation to get our final answer.
y = –(3/4)x + 2.75
How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5
Answer:
5
Step-by-step explanation:
14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)
What is the slope of this graph?
A. -1/4
B. 1/4
C. -4
D. 4
Answer:
-4
Step-by-step explanation:
its negative because it is decreasing from left to right and 4 because it goes down 4 over one not down one over four
Answer: B : -1/4
Step-by-step explanation: The line is going down to the right which is a negitive slope. So that takes out the options B and C. Then to find the slope you find a point and go over one down four, therefour -1/4. Hope This Helps!
Find the gradient of the line with equation Y=3-x
Step-by-step explanation:
Gradient = Coefficient of x = -1.
A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Answer:
The correct selling price = $10.02
The manager's likely error = $6.02
Step-by-step explanation:
Markup of 67% on all items
An item cost $6
The correct selling price = $6 + 67% of $6
= $6 + 0.67 × $6
= $6 + $4.02
= $10.02
The correct selling price = $10.02
The store manager's selling price is $4.
The manager's likely error = The correct spelling price - the manager's selling price
= $10.02 - $4
= $6.02
The manager's likely error = $6.02
Solve for x!!! Help please this is urgent!!!
Answer:
46.6
Step-by-step explanation:
[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]
Two trains are traveling at a constant rate. Which train has the greater speed?
Answer:
Train B.
Step-by-step explanation:
2 hours on Train A would be 120 miles and 2 miles on Train B would be 250 miles. The greater number (which is train B) is the one going the fastest.
Please mark me brainliest I need it! Please!
Question 3 (10 points)
(02.06 MC)
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
X = 53
X= 115 - 62
Step-by-step explanation:
Part A: 62 + X = 115
X= 115 - 62
X = 53
Part B:
APQ + QPR = PRD
Dont copy off of me because im not for sure this is the right awnser
The measure of angle x is 55.
And to get 55 you first need to find angle BPR.
So, what you would do is 180 - 120 and that equals 60.
So, this means that angle BPR is 60 degrees.
Ok, so now to find the angle of x.
You first need to do 65 + 60 + x =180.
Since we don't know the value of x, we do 65 + 60 and that gives us 125.
So, 180 - 125 = 55.
So, X = 55.
Problem Francine uses 2 3 3 2 start fraction, 2, divided by, 3, end fraction cup of pineapple juice for every 1 3 3 1 start fraction, 1, divided by, 3, end fraction cup of orange juice to make a smoothie.
Answer:
Pineapple juice = 2 cups
Step-by-step explanation:
Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice does Francine use for 1 cup of orange juice
Pineapple juice : Orange juice
2/3 cup : 1/3 cup
how many cups of pineapple juice does Francine use for 1 cup of orange juice
Let x = cups of pineapple juice
Pineapple juice : Orange juice
x cup : 1 cup
Equate the ratios
2/3 cup : 1/3 cup = x cup : 1 cup
2/3 ÷ 1/3 = x / 1
2/3 × 3/1 = x / 1
6/3 = x / 1
Cross product
6 * 1 = 3 * x
6 = 3x
x = 6/3
x = 2
Pineapple juice = 2 cups
3/4 x 5/6 plssssssssssss help
the answer is 5/8 :)
3/4*5/6
cross out 3 and 6 and divide by 3
3/3=1
6/3=2
1/4*5/2
multiply the numerator together
1*5=5
multiply the denominator together
4*2=8
1/4*5/2=5/8
answer:
5/8
john has a goal to ride his bike 100 miles this summer. john has ridden 12 miles thus far. there are 40 days left of the summer. what average number of miles john must ride per day to reach his goal?
Answer:
2.2
Step-by-step explanation:
100 is his goal, minus what he already did, which is 12, you get 88. Divide 88 with the number of days remaining and then you get the answer.
Answer:
2 1/5 or 2.2 miles per day
Step-by-step explanation:
(100 - 12) / 40 = 2 1/5 or 2.2 miles per day
which one doesn’t belong?
Answer:
Thats the FSA ummmm-
Step-by-step explanation:
A farmer has 12 acres of land. He plans to plant w acres of wheat and b acres of barley on his land. If he plans to plant wheat in no more than 3 acres of land, which system of inequalities represents the possible values for b and w ?
Answer: w+b>12. W>3
Step-by-step explanation: because the teacher tell me
find out distinct 3 letter word that can be formed from using the word singapore
Answer:
Sing
Gap
Nape
There are more than 3 distinct words
What is X in feet
X= Ft
Answer:
x = 26ft
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676
[tex]\sqrt{676}[/tex] = 26
pls help 20points if help.How would the growing season of plants in Florida differ from the growing season of plants in New York?
a.The growing seasons of both states are similar. This is because the climates of both states are similar.
b.The growing seasons of both states are the same. This is because the climate has very little effect on growing seasons.
c.The growing season in New York is much longer than the growing season in Florida. New York's seasons are warmer than seasons in Florida.
d.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Answer:
D.The growing season in Florida is much longer than the growing season in New York. Florida’s seasons are warmer than seasons in New York.
Step-by-step explanation:
X-1=2 work out the value of 2x^2
Answer: 18
Step-by-step explanation:
X-1=2
X=3
2(3)^2
2(9)
18
Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For the given case, we are given that [tex]x - 1 =2[/tex]
By this, we can get the value of the variable 'x' as:
[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]
Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:
[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]
( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])
Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18
Learn more about evaluating expressions here:
https://brainly.com/question/2753269
A treat bag has 2 green gum balls to read gumball and one blue gumball, if you were to reach into the treat bag right as a fraction, with the probability would be that you would randomly choose.
Answer:
2/5 ; 2/5 ; 1/5
Step-by-step explanation:
Given that :
Numbe red gumballs = 2
Number of green gumballs = 2
Number of Blue gumballs = 1
The probability of making a random choice :
Probability = required outcome / Total possible outcomes
Probability of choosing (red) :
P(red) = number of red balls / total number of balls
P(red) = 2 / 5
P(green) = number of green balls / total number of balls
P(green) = 2 / 5
P(blue) = Number of blue balls / total number of balls
P(blue) = 1 / 5
1. y = x2 + 2x – 8
Axis of Symmetry:
Vertex:
Domain:
Range:
Answer:
Axis of Symmetry: x=-1
Vertex: (-1,-9)
Domain: (- ∞ ,∞ )
Range: (-9,∞ )
Step-by-step explanation:
Lin runs 5 laps around a track in 4 minutes. How many minutes per lap is that?
Answer:
1.25 minutes per lap
Step-by-step explanation:
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?
Answer:
2/5
Step-by-step explanation:
It took Sharon 85 minutes to wash three cars. She spent x minutes on
each car and 10 minutes putting everything away. Solve 3x + 10 = 85 to
find how long it took to wash each car.
A)5.5
B)28.3
C)25
D)31,67
Answer:
25
Step-by-step explanation:
A salespersons commission rate is 4% what is the commission from the sale of $36,000 worth of furnaces use pencil and paper suppose sales would double what would be true about the commission explain without using any calculators
Answer:
1440
Step-by-step explanation:
36,000x0.04=1440
Which quadratic is best solved by taking the square root?
Answer:
x^2 - 9 = 0
Step-by-step explanation:
it is best to use square root method when there is no b value. in this equation, there is no b, only an a and c
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ
ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?
Answer:
C
Step-by-step explanation:
Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.
