Answer:
0.4 mL
Step-by-step explanation:
I was able to do this in my head, but...
If you just take the fraction of 2000 units/5000 units/mL, then the units will cancel out and you're essentially left with 2000/5000 mL. 2000/5000 can be reduced to 2/5, and as a decimal, 2/5 comes out to 0.4 or 40%.
So, 0.4 mL (about half) would be administered to the patient.
What is the slope of the line graphed below
Find the equation of the line above. Write the equation in slope intercept form.
Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (2, 4, â2), and (2, â6, 1).
Answer:
23
Step-by-step explanation:
Here is the complete question
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).
Solution
We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.
So, (1, 0, -3), (1, 2, 4) and (5, 1, 0)
[tex]A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right][/tex]
The determinant of A is the volume of the parallelepiped. So,
detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)
= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)
= 1(-4) - 1(3) + 5(6)
= -4 - 3 + 30
= 23
So the volume of the parallelepiped is 23
What is the 97.2x10 for the 4th power
NEED ASAP
which point represents the ordered pair (-2 1/4+ 2/3
Answer:
Point Q sry if wrong
Step-by-step explanation:
Answer:
The answer is s
Step-by-step explanation:
It’s called common sense.
PLEASE HELP ME QUICK
A serving dish has a parabolic surface with the vertex (0, 0) at the center of the dish. When the width of the dish is 6 inches, the depth of the dish is 3 inches. The equation that models the shape of the serving dish is y = ax2. What is the value of a?
1/12
1/3
1/2
1
Answer:
B
Step-by-step explanation:
1/3
The required value of a is 1/3 for parabola [tex]y = 1/3x^2[/tex].
A parabolic dish with vertex (0,0) at the center, width is 6 inches and depth is 3 inches. y = ax² where a is to be determined.
A parabola is a cross-section cut out of the cone and represented by an equation [tex]y=4ax^2[/tex].
Here,
Vertex is at the center of the parabolic plate (0,0),
with the help of the width and depth coordinate of the one corner is(3,3).
Now put these coordinates in y = ax²
3 = a3²
a = 3/3²
a = 1/3
Thus, The required value of a is 1/3 for the parabola [tex]y = 1/3x^2[/tex].
Learn more about parabola here:
brainly.com/question/4074088
#SPJ5
A bacteria culture grows with constant relative growth rate. The bacteria count was 2,560 after 4 hours and 2,621,440 after 12 hours.
(a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.)
% per hr
(b) What was the initial size of the culture?
bacteria
(c) Find an expression for the exact number of bacteria after t hours, (t).
y(t) =
(d) Find the number of bacteria after 5.5 hours. (Round your answer to the nearest whole number.)
bacteria
(e) Find the rate of growth in bacteria per hour) after 5.5 hours. (Round your answer to the nearest whole number.)
bacteria per hour
(f) How many hours did it take for the population to reach 104,000? (Round your answer to two decimal places.)
hr
Answer:
A. 86.64%
B. 80
C. y(t)= 80[tex]e^{0.8664t}[/tex]
D. y(5.5) = 9388
E. y(t) = 8134 bacteria for every hour
F. 8.28 hours
Step-by-step explanation:
a. The bacteria count after 4 hours y(4) = 2560
The bacteria count after 12 hours y(12) = 2621440
equation 1: ye^4k = 2560
equation 2: ye^12k= 2621440
divide (2) by (1),
e^8k = 1024
Taking ln both sides:
ln(e8k ) = ln(1024)
8k = 6.931
k=0.8664 // after dividing both sides by 8
rate of growth k% = 0.8664*100 = 86.64%
b. substituting for k in equation 2:
ye^4*0.8664 = 2560
Initial bacteria count y(4) = 80
c. y(t)= 80e^0.8664t
d. the number of bacteria after 5.5 hours => y(5.5) = 80[tex]e^{0.8664(5.5)}[/tex] ≈ 9388
e. y'(5.5) = 80*0.8664e^0.8664(5.5) = 69.31e^0.8664(5.5) = 8134
f. for bacteria population = 104000
where ye^0.8664t = 104000
y = 80
80e^0.8664t = 104000 //divide both sides by 80
e^0.8664t = 1300
ln(e^0.8664t = ln(1300)
t = 7.17 / 0.8664 = 8.28 hours
Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?
Answer:
324
Step-by-step explanation:
Select the correct answer
Answer:
Option B
Step-by-step explanation:
Domain of a function is represented by the set input values or x-values
Range of the function is represented by the set of output values or y-values.
From the graph attached,
y-values are varying from y = - 9 to y = 8.
Therefore, range of the function from the given graph will be,
-9 ≤ y ≤ 8
Option B will be the correct option.
Identify the following parasite provided and draw a large labelled diagram of each
specimen
Answer:
Spiced eye gonna flush my toilet now ;)
Answer:
hes right
Step-by-step explanation:
Emma poured 40 fl oz. of grape juice equally into 5 cups. How much grape juice does each cup contain?
fl oz. per cup ?
Answer:
The correct answer is 8 fluid ounces per cup.
Step-by-step explanation:
To solve this problem, we need to divide the total amount of grape juice that Emma has (40 fl oz) by the number of cups she is pouring the juice into (5).
40 oz total/5 cups = 8 oz/cup
Therefore, each cup contains 8 fl oz.
Hope this helps!
Please give me the correct answer
Answer:
the first one; 3*1/10^-4
Step-by-step explanation:
10^-4 can be ocnverted into a fraction: 1/10^4
Answer:
3 times 1/10,000
Step-by-step explanation:
Jose walked 5.3 miles to school. After school, he walked 4.52 miles to the library.
Finally, he walked 2.89 miles home. How far did Jose walk in all?
Answer: Problem worked out in picture
Step-by-step explanation:
Merry Christmas
PLEASE SHOW FULL SOLUTIONS!! Will Mark Brainliest for the best answer. The radius of a spherical balloon is 3.5 cm. What is the volume of air in the balloon? Show your answer in terms of pi or round your answer to one decimal place.
THANKS
9514 1404 393
Answer:
343π/6 cm³ ≈ 179.6 cm³
Step-by-step explanation:
The formula for the volume of a sphere is one of the volume formulas worth memorizing. It is ...
V = (4/3)πr³
For r = 3.5 cm, the volume is ...
V = (4/3)π(3.5 cm)³ = 343π/6 cm³ ≈ 179.6 cm³
The volume of air in the balloon is about 179.6 cm³.
Does this scatter plot show a positive trend, a negative trend, or no trend?
Answer:
no trend
a positive trend would start in the bottom left and go toward the top right
a negative trend would start at the top left and go town the bottom right
this is an example of no trend
Step-by-step explanation:
a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
In how many map squares did we spot less than 20 plant species
help plssss
Answer:
two map squares ☺️☺️☺️☺️
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
Darnell’s team scored 40 points at the game. Darnell scored 15% of the team’s points. How many points did Darnell score?
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
p(n) = -8n^2 + 9n, Find p(10)
Answer:
first
put the value of p(10) in the place n,
2-multiply -8×10^2+9×10
3-:- -8×100+90
4:-800+90=710ans
What is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base
diameter of 10 feet? Round to the nearest tenths place
Answer: 392.7
Step-by-step explanation:
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2
Write the quadratic function in vertex form, then identify the vertex
h(x)=x^2+20x+90
h(x)=
Vertex:
I need this answered ASAP please !
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
There are 42 boys and 48 girls in sixth grade and each student must be assigned a home room. Each homeroom should have the same number of boys and the same number of girls.
what is thegreatest possible number of sixth grade students?
Answer:
50
Step-by-step explanation:
you add 42 and 48 i think
jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?
Answer:
9:6
Step-by-step explanation:
boys= 9 teammates
girls= 6 teammates
PLEASE HELLPPP MEEEE WITHH MATHHH
Answer:
-1/2y+1/2x
Step-by-step explanation:
What of the following lines is perpendicular to the line passing across the points (1,1) and (-5,-6)?
y = 6/7x + 1
y = -6/7x + 1
y = -6/7x - 1
y = 6/7x - 1
find the slope given the points (-5 -3) and (2 4)
Answer:
1
Step-by-step explanation:
The equation [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1}}[/tex], the points are (-5, -3) and (2, 4), so to know which is which just do it by order, so in this case [tex]y_{1} = 4, y_{2} = -3, x_{1} = -5, x_{2} = 2[/tex] basically like i said, just in order.
So let's separate the equations into 2 for now:
[tex]y_{2} - y_{1}[/tex] = 4 - (-3) = 4 + 3 = 7
[tex]x_{2} - x_{1}[/tex] = 2 - (-5) = 2 + 5 = 7
So put it together into the fraction and it's 7/7 which is 1, so the slope is 1
Given f(x) = 5(2-x), what is the value of f(-3) ?
Answer:
f(-3) = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 5(2 - x)
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = 5(2 - -3)Simplify: f(-3) = 5(2 + 3)Add: f(-3) = 5(5)Multiply: f(-3) = 25Please give me the correct answer