Answer:
730%
Step-by-step explanation:
I need help on my math.
For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the disage at which it occurs.
B(x)= 395x^2- 2370x^3, 0 <= x <= 0.16
a. The maximum is obtained for a dosage of __________________.
b. The maximum blood pressure obtained is ______________.
Answer:
A) Maximum for dosage is 0.11
B) maximum blood pressure = 1.625
Step-by-step explanation:
We are given the function;
B(x) = 395x² - 2370x³
To find maximum, we will find the derivative of the function and equate to zero.
B'(x) = 790x - 7110x²
Equating to zero gives;
790x - 7110x² = 0
790x = 7110x²
Dividing both sides by x gives;
790 = 7110x
x = 790/7110
x = 0.11
This falls in between the range of 0 <= x <= 0.16 given to us.
Therefore x = 0.11 is a maximum
Plugging this into B(x) = 395x² - 2370x³ gives;
B(0.11) = 395(0.11)² - 2370(0.11)³
B(0.11) = 1.625
Thus;
Maximum dosage is 0.11
maximum blood pressure = 1.625
What percent is 8 out of 32?
Answer:
25%
Step-by-step explanation:
8/32= 25%
arrangement the following in ascending order ; -5/7, -3/14, 4/7, -6/7
Answer:
-4/7-5/7-6/7-3/14 ascending order
Answer:
The sorted inputs in order from least to greatest is:
-6/7 < -5/7 < -3/14 < 4/7
Step-by-step explanation:
Given
-5/7, -3/14, 4/7, -6/7
The least common denominator (LCD) is: 14
Rewriting as equivalent fractions with the LCD:
-5/7 -3/14 4/7 -6/7
-10/14 -3/14 8/14 -12/14
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
-6/7 -5/7 -3/14 4/7
-12/14 < -10/14 < -3/14 < 8/14
Therefore, the sorted inputs in order from least to greatest is:
-6/7 < -5/7 < -3/14 < 4/7
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
Explain the difference between a greatest common factor and a least common multpule
Answer:
The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.
Have a good day
Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?
Answer:
65
Step-by-step explanation:
I think. hope this hepls
Answer:
There are 1600 residents.
Step-by-step explanation:
0.2 times x = 320 divide by 0.2
x = 1600
algebra help quick lol
Answer:
Its the top right one
Step-by-step explanation:
What is the sum of 347+645=
Answer:
347 + 645 = 992
Step-by-step explanation:
347
+645
922
WHICH NUMBER MEANS THE SAME AS 2,000,000 + 70,000,000 + 6,000,000 +
300,000 + 40,000 + 2,000 + 100 +10 +7 ANSWER
78,342,117
Step-by-step explanation:
Just add! And yeah have a good day ^-^
Answer:im assuming we add them
Step-by-step explanation:
78342117
Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.
What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?
Answer
35
Step-by-step explanation:
4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!
Henry needs a 16 ft. table for his family dinner. He is going to put two tables together. He has an 8ft table. How long does the other need to be?
Answer:
The other table needs to be 8ft long as well.
Step-by-step explanation:
To get to 16ft, we need to subtract the 8ft that Henry already has.
16 - 8 equals 8.
So, the other table needs to be 8 feet.
#teamtrees #WAP (Water And Plant)
please answer these to with working
Answer:
Convert into decimals:
a) 70.3 b)3.7
Find:
a) 360.45
b) 112.997
What should be added to 2.8 to get 10?
7.2
Do 10 - 2.8
What should be subtracted from 20 to get 11.8?
8.2
Do 20 - 11.8
Hope this helps!!!
:D
Follow the steps below to choose an equivalent expression for 15n – 20 using the distributive property. Use the work below to help you.
1. Find the GCF of the terms.
The GCF of 15n and 20 is 5.
2. To factor out the GCF, divide each term in the expression by the GCF.
15n ÷ 5 = 3n and 20 ÷ 5 = 4
Which expression is equivalent to 15n – 20?
2(8n – 6)
6(2n – 9)
5(3n – 4)
5(4n – 3)
PLS HELP MEEEEHHHH
Answer:
5(3n - 4)
Step-by-step explanation:
The GCF of 15 and 20 is 5, so 5 is on the outside of the parentheses. 15/5 = 3, so the term is 3n. 20/5 = 4, so the other term is 4. Put it all together and you have 5(3n - 4)
Answer:
5(3n - 4)
Step-by-step explanation:
Edge 2020
∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help
Answer:
∠1 = 124 degrees
Step-by-step explanation:
Vertical angles are always congruent
So ∠1 = ∠2
Answer:
Supplement of m∠1 = 56°
Step-by-step explanation:
Since both angles are vertical, they both equal to each other.
m∠2 = m∠1
= 124°
To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.
Supplement of m∠1 = 180°-124°
= 56°
pls pls help it closes in 40 minutes pls tell me how you got your answers ty
picture included
Step-by-step explanation:
u just have to draw a graph nd start at -2 which goes down -2 twice then go up 4 over 1 nd u just connect the lines nd find the slope of the lines that's how I learned it
Answer:
Hi, I'm not sure how to answer number 1 or 2 but here are my answers for 3-6
Step-by-step explanation:
3) 2
My work: y+3=2(x-2)
y+3=2x-4
y=2x-7
4) (2,25)
My work:
y-1=3(x+6)y-1=3x+18y=3x+19y=3(2)+19y=6+19y=25(2,25)5) 1/8
6) -7
What’s the answer to this multi step equation? -3(12x+9)=9
Answer: x=-1
Step-by-step explanation:
Olivia does chores every Saturday morning. She spends 1/3 of her time cleaning her room. Of the remaining 2/3 of her time, she spends 6/7 of it cleaning the kitchen. How much of Olivia's total time does she spend cleaning the kitchen?]
Answer:
she spends 9 hours
Step-by-step explanation:
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)
Answer:
Length = 7 ft
Breadth = 7 ft
Step-by-step explanation:
Let lenght of rectangle be x
and breadth be y
Area = [tex]49\ \text{ft}^2[/tex]
[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]
Permiter of a rectangle is given by
[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]
Equating with zero
[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]
Double derivative of the equation
[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]
So the value of y is minimum at 7.
[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]
Hence, [tex]x=7,y=7[/tex]
The mimimum length and breadth of the rectangle is both 7 ft.
4% as a fraction or mixed number in simplest form
Answer:
1 /25
Step-by-step explanation:
percent means
out of 100
⇒
4
%
=
4
100
as a fraction
To simplify the fraction we require to find a
common factor
to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4
⇒
4
100
=
4
÷
4
100
÷
4
=
1
25
This calculation is usually set out using
cancelling
4
100
=
4
1
100
25
=
1
25
←
in simplest form
A fraction is in
simplest form
when no other factor but 1 will divide into the numerator/denominator.
The polygons are similar. Find the value of X and Y
Answer:
X=8, Y=9
Step-by-step explanation:
9/6=1.5
12/1.5=8
6*1.5=9
PLS GIVE BRAINLIEST
Can someone help me please
Hi. :) if you are a "Blink" what album should i get?
Answer:
Changes
Step-by-step explanation:
#teamtrees #WAP (Water And Plant)
Answer:
♡ let's kill this love! ♡
you should definitely get "the album."
it has a very good rating and its great ☆
stan blackpink for clear skin, have a great day!
-madi/madeline
✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP
Answer:
some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.
55.) A.9 B. 29
57.) SAS
Step-by-step explanation:
What is f(4) for the function f(x)= 6x+7?
Answer:
31
Step-by-step explanation:
f(4) = 6x4 + 7
= 24 + 7
= 31
if 8 identical items together weigh 30 kg, how much does each one weigh?
Answer:
each weighs 3.75 minimum
Answer:
Each item weighs 3.75 kg, or 3 and 3/4 kg.
Step-by-step explanation:
divide the total weight by the total amount of items. 30/8=3.75
hope this helped! :)
I NEED HELP ASAP DUE MORNING AND REPORT CONFERENCE TMM
Answer:
A. Horizontal and slope is 0
B. Horizontal and slope is 0
C. Vertical and slope is undefined
D. Vertical and slope is undefined
Step-by-step explanation:
find the value of x if log3 (x+6) =2
Answer:
3(x+6) =2
3x+18 =2
3x=2-18
3x=16
x=16/3
x=5.33333333
Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answer:
0.35%
Step-by-step explanation:
The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?
Answer:
Step-by-step explanation:
Onehundred twenty-million-fivehundred forty thousand