Answer:
$4.82
Step-by-step explanation:
Given that:
The total cost of the fruit is $16.87
And Norman purchased 3.5 lb of his favorite mixture of dried fruits.
The cost of the fruit per pound can be calculated by dividing the total cost of fruit by the total amount of pounds of fruit purchased.
i.e.
The cost of the fruit per pound = $16.87/3.5
The cost of the fruit per pound = $4.82
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.
Answer:
4mg/L
Step-by-step explanation:
Here is the complete question;
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by
C(t) = 0.08t − 0.0004t2, where 0 ≤ t ≤ 240 and the concentration is measured in mg/L. When is the maximum serum concentration reached?
Given the concentration of the drug in the patient's bloodstream after t minutes modeled by the equation;
C(t) = 0.08t − 0.0004t^2
The maximum serum concentration is reached at when d(C(t))/dt = 0
d(C(t))/dt = 0.08-2(0.0004)t
d(C(t))/dt = 0.08-0.0008t
since d(C(t))/dt = 0
0 = 0.08-0.0008t
get the value of t
-0.08 = -0.0008t
t = 0.08/0.0008
t = 100secs
Get the maximum serum concentration reached by substituting t = 100s into the equation as shown;
C(t) = 0.08t − 0.0004t^2
C(100) = 0.08(100) − 0.0004(100)^2
C(t) = 8-0.0004(10000)
C(t) = 8-4
C(t) = 4mg/L
Hence the maximum serum concentration reached is 4mg/L
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Answer:
thr answer is 6(2n-3) this is rhe answer
If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2
Answer:
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304
The value of p is equal to 304 when q is equal to 2
Given :
If p is inversely proportional to the square of q
when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]
given that p is inversely proportional to the square of q. the equation becomes
[tex]p=\frac{k}{q^2}[/tex]
when p is 19 the value of q is 8
Replace the values and find out k
[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]
Multiply both sides by 64
k=1216
Now we find out p when q is 2
Replace k value and q value to find out p
[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]
The value of p is equal to 304 when q is equal to 2
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What is the solution to the system of equations graphed below?
On a coordinate plane, 2 lines intersect at (2, - 3).
(2, - 3)
(- 3, 2)
(- 2, 3)
(3, 2)
Answer:
(2,-3)
Step-by-step explanation:
When they intersect it called a solution
Hope its right
Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?
A.15 ft
B.56 ft
C.28 ft
D.11 ft
Answer:
A. 15 ft
Step-by-step explanation:
I took the test.
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
What is square?A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .
Given that area of square shaped lawn is224.9 square feet.
We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .
We can calculate length side of lawn as
Area = [tex]a^2[/tex]
224.9 = [tex]a^2[/tex]
[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]
We know that length of side of square can't be negative so
[tex]a=14.9966\\\\a\approx 15 ft[/tex]
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
To know more about square visit :https://brainly.com/question/25092270
What is the sum of 6 and y
Answer:
6+y
Step-by-step explanation:
6+y is the ans as the question has asked to sum of them but it has not given any other clues
Answer:
i got 6y
Step-by-step explanation:
Complete the work to solve for y:
What is the value for y?
Answer:
The value of y = 11/2
Step-by-step explanation:
As the work is completed up to the point
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Now completing the remaining work
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Dividing both sides by 2/5
[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]
[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex] ∵ [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]y=\frac{11}{2}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
Therefore, the value of y = 11/2
Add, subtract, multiply, or divide. Can someone help me please.
7: 8+（-4）=-2
8: -7+2=-5
9: -11-7=-18
10: 12÷（-6）=-2
11: -9×（-3）=27
12: 4-（-3）=7
13: -45÷9=-5
14: 6×（-3）=-18
i need help with this
Answer:
ok what here are u meant to do
PLEASE ANSWER NUMBER 2 3 AND 4 THANK YOU
Using the table, find the average rate of change between x=−1 and x = 2.
A car traveled a distance of 210 miles in 3 hours time. How fast was the car driving?
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.
Answer: He spent $7.25 dollars.
Step-by-step explanation:
$3.50 + 3.25 = 7.25Inequality shows a relationship between two numbers or two expressions.
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of candy = $3.50
Cost of a pretzel = $3.25
Total amount to spend = $30
Let the number of candies = c
Let the number of pretzels = p
The inequality to spend on possible numbers of candies and pretzels:
3.50c + 3.25p ≤ 30
Thus,
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
Learn more about inequalities here:
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#SPJ2
(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?
A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.
Answer:
A.
Step-by-step explanation:
For square one, the dark part added up= 1/4 of the whole big square.
For square 2. the colored in part= 1/4 of the whole big square.
For square 3. The colored part = 1/4 of the whole big square.
Keep in mind that EACH OF THE SEGMENTS THAT INTERSECT THE SIDES OF THE SQUARES INTERSECT AT MIDPOINTS OF THE SIDES.
For number three, make sure to draw in what square two looks like. one line vertical, one horizontal.
THE ANSWER IS A THOUGH.
NATURE The frequency of a male cricket's chirp is related to the outdoor temperature. The
relationship is expressed by the graph, where y is the temperature in degrees Fahrenheit and x is the
number of chirps the cricket makes in 14 seconds. Write an equation for the line in point-slope form.
PLEASE ANSWER I WILL DO ANYTHING I NEED THIS ASAP ITS DUE IN 3 MINUTES
above is the graph needed to answer this question
y−60=1(x−20) ,
y−40=x ,
y−50=1(x−10) ,
y−45=1(x−5) ,
or
y−55=1(x−15)
Step-by-step explanation: I have no idea
The equation for the graph written in point - slope form may be expressed thus y-60 = 1(x - 20)
The general form of a point - slope expression is :
y - y1 = m(x - x1) m = slopeTaking the pair of points (20, 60) :
x1 = 20 ; y1 = 60Slope = Rise / Run
Rise = (60 - 40) = 20Run = (20 - 0) = 20Slope = 20/20 = 1
Hence, the equation can be expressed thus by substituting the x1 and y1 values into the expression :
y - 60 = 1(x - 20)Therefore, the point - slope expression for the graph is y-60 = 1(x - 20).
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Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)
Answer:
(4, -6)Step-by-step explanation:
The formula of a midpoint of the segment AB:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have A(7, -2) and B(1, -10). Substitute:
[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]
Which of these graphs represents a function?
Answer:
Graph x
Step-by-step explanation:
If you have seen the user GOGETA10 please let me know. He is important to me
Answer:
sure
Step-by-step explanation:
What is the slope and y-intercept of y=2x+3 and why?
Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.
Answer:
y = 0.75x
Step-by-step explanation:
Im not sure lmk
Which expression completes the statement to form a true equation?
2 + 4 =
25
09
O2 + 9
O3 +9
Answer:
03 +9
Step-by-step explanation:
tell me if it was right and have a nice day ;)
its the picture bbhjbhvuvhvguvuggyctct love you
Answer:
o
Step-by-step explanation:
Answer:
59.3sq ft
Step-by-step explanation:
QUICK I REALLY NEED HELP
When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
Given that ( x – 3 ) is a factor of the polynomial x3 + 2x2 – 11x - 12, complete the following:
a) Completely factor the polynomial using polynomial long division or synthetic polynomial division. You must show all your work to receive credit. (7 pts)
b) What are the zeros of the polynomial? Show any work necessary in solving.
Answer:
(x+3)⋅(x−1)⋅(x−4)
Step-by-step explanation:
hope this helps
peter types 360 words in half an hour how many words would he type in 10 minutes typing at the same rate
Answer:
120 words I believe
Step-by-step explanation:
360÷3=120
pls helppppppp its math
Answer:
th
e last oneStep-by-step explanation:
Answer:
I think its E because it's in between E and F and E and G
Step-by-step explanation:
guys i need help. who is right in this problem???
Answer:
brianna is correct
Step-by-step explanation:
Answer:
Brianna is correct for Card number 2.
Step-by-step explanation:
Which statement correctly describes the location of the incenter of a triangle?
Question 15 options:
A)
The incenter is equidistant from all three vertices of the triangle.
B)
The incenter is equidistant from all three sides of the triangle.
C)
The incenter is closest to the shortest side of the triangle.
D)
The incenter is closest to the longest side of the triangle.
9514 1404 393
Answer:
B) The incenter is equidistant from all three sides of the triangle.
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
WILL RECIEVE ANYTHING YOU WOULD LIKE
Answer:
107.6
Step-by-step explanation:
5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8
Answer: I am pretty sure it’s 87.08
Step-by-step explanation:
Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%
Answer:
8%
Step-by-step explanation:
2/25*100
=8%