Answer:
See below
Step-by-step explanation:
[tex] \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)[/tex]
The licensed practitioner has ordered gemcitabine 400 mg/m^2 IV for a patient whose BSA is 0.47 m^2. You have on hand a 200 mg vial of gemcitabine for injection that contains 38 mg per mL. How much medication should this patient receive?
Answer:
4.95 mL
Step-by-step explanation:
Since we have 400 mg/m² of gemcitabine for a patient whose BSA is 0.47 m², the mass of drug required for the patient is thus m = 400 mg/m² × 0.47 m² = 188 mg.
Also, since 200 mg vial of gemcitabine for injection that contains 38 mg per mL, so the concentration of gemcitabine is 38 mg/mL.
Since concentration = mass/volume, and
volume = mass/concentration,
the volume of gemcitabine injection required is
V = mass of gemcitabine/concentration of gemcitabine in injection
V = 188 mg/38 mg/mL
V = 4.95 mL
Factorise, check by using multiplication a-7a+12
Answer:
Step-by-step explanation:
Sum = -7
Product = 12
Factors = (-3) ; (-4) { (-3) * (-4) = 12 and (-3) + (-4) = -7}
a² - 7a + 12 = a² -3a - 4a + (-3)(-4)
= a(a - 3) - 4(a - 3)
= (a - 3)(a - 4)
Describe the transformations that will make f(x)=1/x into g(x)=−1x+5−8?
Answer:
f (x) = 4
f (x) = radical 3x-4
f (x) = 3/5x
Step-by-step explanation:
Hope this helped you.
Have a beautiful day!!
What is the product?
3•[1 -4 5 -7]
Answer:
-153
Step-by-step explanation:
3-135-21
-132-21
-153
Answer:
I got -78
please i dont understand this
Hope that helps!! :)
Proably not though sorry
Bye bye have a great day <3
Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed,
how many women are employed there?
Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140
area of this question?
Answer:
The answer is 165
Step-by-step explanation:
If I'm wrong I'm sorry
He has hired you as their new production manager. Your job is to look at five different solid figures and determine which would best suit the needs of the company for packaging the candy. You will choose one of the five options shown below. The candy is animal gummies. The package must hold between 60 and 70 cubic inches (roughly 4-5 cups of space). The cost of the plastic for the packaging is $0.003 per square inch
Find the height of an equilateral triangle whose perimeter is 24
Answer:
[tex]h = 4\sqrt{3}[/tex]
Step-by-step explanation:
If the triangle is equilateral, it means that all the sides are the same. Since there are 3 sides in a triangle, each side is 24/3 = 8
Now, in order to find the height, we can use the pythagoeren theroem. Notice that the height bisects(splits the side) into two equal parts, which each part having the length 8/2 = 4
So we have [tex]h^2 + 4^2 = 8^2[/tex]
[tex]h^2 = 48[/tex]
[tex]h = 4\sqrt{3}[/tex]
684+270 is the same as 654+
Answer:
Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.
Step-by-step explanation:
Hope this helped!! :)
A triangle has an area 14.5 ft.². The base of a triangle is 8 feet. What is the height?
Answer:
The height is 3.625ft.
Step-by-step explanation:
0.5x8xa=14.5
4a=14.5
a=14.5/4=3.625
16b² − 40b + 25
Solve this PLZ
Answer:
(4b-5)^2
Step-by-step explanation:
I am assuming it's asking this? I'm not too sure.
Answer:
[tex](4b - 5 {)}^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.
[tex](4b)^{2} - 2(4b)(5) + {5}^{2} [/tex]
2) Use square of Difference: (a - b)² = a² - 2ab + b².
[tex](4b - 5)^{2} [/tex]
Therefor, the answer is ( 4b - 5)².
Bestbuy is having a sale, 45% off all merchandise! You see a laptop you like and you only have $300. The laptop's regular price is $499. Can you afford it after the discount?
Answer:
Yes you could afford it
Step-by-step explanation:
Answer
yes.
Step-by-step explanation:
45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.
which expression is equivalent to sec theta + csc theta/1 + tan theta?
Answer: D= csc theta
Step-by-step explanation:
Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd page. My answers are from top top bottom, 1,3,and 2.
Answer:
my guess is 2,3, and 1.
Step-by-step explanation:
in the ending it's always a finish of "definition of something"
After the given is always the substitution
and the angles forming a linear pair sum to 180 is after the substitution because you're now solving it.
maybe wrong but thats what i think the answer is.
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answer:
n/-10=-120
n=1200
Step-by-step explanation:
how many solutions does this equation have?
3x-5=2x+2
Answer:
x = 7
Step-by-step explanation:
3x+2x=7x
PLEASE HELP ME ILL MAKE BRAINLIEST!!!!!
I need the correct answer
Answer:
56.7
Step-by-step explanation:
Hello There!
Trigonometric Ratios
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length and the hypotenuse
so the trigonometric ratio we need to use is sin
knowing that sin = opposite side divided by hypotenuse we create an equation
[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]
our final step is to round to the nearest tenth of a degree
so we can conclude that the measure of angle A is 56.7
note: arcsin = inverse of sin
Answer:
56.7
Step-by-step explanation:
so opposite the angle we are working out is "o"And the longest side is the hypotunese but just remember it as "h"a is the remaining side but does not have a value and is blank therefore we need to worry about this sideWe have "o" and "h" which is the formula triangle with sin o/sin*hBut as we are working out the angle(sin) we change the formula so it is sin=0/hsin=51/61sin=0.8then you click the shift or 2nd function button on your calculator and the sin button and this is your answer 56.7so the angle is 56.7Anthony babysits on the weekend to earn extra cash. He charges an initial fee of $5.00,
and charges $9.00 per hour. If he earned $59.00 in one night, how many hours did he
babysit?
Answer:
6
Step-by-step explanation:
First subtract the fixed fee. 59-5=54
Divide 54 by 9.
6
30 POINTS
what is the right answer
Answer:x≥−5
Step-by-step explanation:
Jim is solving 3.6 ÷ 1.5.
He uses an equivalent expression to do the division problem.
Which choice shows how Jim could have found the correct solution to 3.6 ÷ 1.5?
Answer: c·1.5=3.6
Step-by-step explanation:
PLEASE HELP THUS IS DUE IN AN HOUR
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Step-by-step explanation:
let angle be x
Step-by-step explanation:
relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=13/26
x=sin-¹(13/26)=30°
2.relationship between perpendicular and base is given by tan angle
tan x =p/b
tan x =7/16
x=tan -¹(7/16)=23.63°
3.relationship between between perpendicular and base is given by tan angle
tan x =p/b
tanx=31/50
x=tan-¹(31/50)=31.8°
4.relationship between base and hypotenuse is given by cos angle
cos x =b/h
cos x=5/7
x=cos-1(5/7)=44.4°
5.relationship between perpendicular and hypotenuse is given by sin angle
sin x =p/h
sin x=4/14
x=sin-¹(4/14)=16.6
6..relationship between base and hypotenuse is given by cos angle
cos x=6/7
x=cos-¹(6/7)=31.0027
7.relationship between perpendicular and base is given by tan angle
.tanx=29/37
x=tan-¹(29/37)=38.09
8.relationship between perpendicular and hypotenuse is given by sin angle
.sin x=43/60
x=sin-¹(43/60)=45.78
9..relationship between base and hypotenuse is given by cos angle
cos x=32/44
x=cos-¹(32/44)=43.34
Please Help!! (15 pts)
Estimate the area of the figure on the graph
A: 49.5 sq. units
B: 56 sq. units
C: 58.5 sq. units
D: 60 sq. units
Simon paid $172.75 for a game system and then bought three equally-priced games. If he spent a total of $348.79, what is the price , p, of one game?
Answer:
Divide 172.75 by 348.79
Step-by-step explanation:
Answer:
58.68
Step-by-step explanation:
348.79- 172.75=176.04
176.04/3= 58.68
Definition of radius
Answer:
Step-by-step explanation:
A straight line from the center to the circumference of a circle or sphere.
Solve for X.
Show your work.
Pls hurry
Answer:
x = 10
Step-by-step explanation:
[tex]6^{2} + 8^2 = x ^2[/tex]
Solve for x and you get x = 10
Answer:
x=14
Step-by-step explanation:
I can simplify the math terms ;)
So basically 6 and 8 are the lengths of the shorter sides of the triangle, the triangle has three sides and the longest side is always called the hypotenuse, the hypotenuse is the sum of the lengths of the shorter sides. So 6+8=x
6+8=14 <-- That's your answer :)
Can I have brainliest?
Hope this helps!
The line plot shows how many gallons of paint a painter used in 10 jobs. How many total gallons of paint did the painter use on all the jobs that used less than 2 1/2 gallons of paint?
A: 5 1/4
B: 6 3/4
C: 8 3/4
D: 9 1/2
Answer:
8 3/4
Step-by-step explanation:
There are 5 jobs that required less than 2 1/2 gallons.
For the equation, you'll just be adding all these up
1 1/2 + 1 1/2 + 1 3/4 + 2 + 2
Which will give you 8 3/4
6. The graph shows the number of soda bottles a machine can make over time. Use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make
per minute.

Answer:
150-50/6-2
100/4
25
Step-by-step explanation:
25 soda bottles the machine can make per minute.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
We have to use the two points (2, 50) (6, 150) shown to find the number of soda bottles the machine can make per minute.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
x₁=2, y₁=50, x₂=6, y₂=150
substitute in slope formula
Number of soda bottles=slope=150-50/6-2
=100/4
=25
Hence 25 soda bottles the machine can make per minute.
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Please help will make brainliest
Answer:
true
Step-by-step explanation:
can you help me with this
Answer:57ft
Step-by-step explanation:
104 divided by 2+ 5=57ft
yeah Sure I Have Captured your solution In Image. hope you understand it
There are 21 students in your class. The teacher wants to send 4 students to the
library each day. The teacher will choose the students to go to the library at random
each day for the first four days from the list of students who have not already gone.
What is the probability you will be chosen to go on the first day? State the answer as
a fraction.
Answer:
4/21
Step-by-step explanation:
since we are only talking about the first day, there are still 21 options for your teachers. there are 4 spots that you can fill, so the probability that you will be picked is 4/21
The probability you will be chosen to go on the first day would be; 4/21
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
We are given that there are 21 students in your class. The teacher wants to send 4 students to the library each day.
Since we are only talking about the first day, there are still 21 options for your teachers.
As we can see that there are 4 spots that you can fill, so the probability that you will be picked is;
4/21
Learn more about probability here;
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