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
Collin is building a deck on the back of his family's house. He has enough lumber for the deck to be 75
square feet. The length should be 10 feet more than its width. The situation can be represented by w2
+ 10w - 75 = 0. What should the width of the deck be?
A. 15
B. -5
C. -15
D. 5
Answer:
A. 15
Step-by-step explanation:
2. Which property is used in the statement?
If 2w=−8, then w=−4.
A. Reflexive Property
B. Division Property of Equality
C. Subtraction Property of Equality
D. Symmetric Property
Answer:
B
Step-by-step explanation:
NEED HELP ASAP
-8x + 2y
Answer:
-13
Step-by-step explanation:
Answer: 2(-4x+y)
Step-by-step explanation:
rewrite -8 as 4*2
4*2x+2y
factor out the common term (2)
2(-4x+y)
Andre runs for 35 seconds at a velocity of -8 meters per second. He is running west. What is his finishing position?
Answer:
d = -280 m
Step-by-step explanation:
Given that,
Velocity of Andre, v = -8 m/s
Time taken, t = 35 seconds
We need to find his finishing position. Let the finishing position be x.
We know that,
Velocity = distance/time
So,
[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]
so, he was at a distance of 280 m in west.
Find the slope of the line of best fit shown in the figure
Answer:
Slope of the line of best fit = -0.34868
Step-by-step explanation:
From the figure attached,
Coordinates of the points lying on the given line are (2, 3), (2, 5), (2, 6), (3, 5), (4, 3), (5, 4) and (7, 3)
By using the linear regression calculator,
Equation of the line of best fit → y = -0.34868x + 5.38816
Comparing this equation with, y = mx + b
Slope of the line of best fit → m = -0.34868
Distribute and simplify these radicals. 23-(V+ 3) O 2V5 + 6 02/15 O 30 O 6/2+6
Answer:
A)
Step-by-step explanation:
Enter the slope of the line through the points (5, 2) and (-3, -7). *
Answer:
m= 9/8
Step-by-step explanation:
(5, 2) and (-3, -7)
Slope:
m=(y2-y1)/(x2-x1)
m=(-7-2)/(-3-5)
m=(-9)/(-8)
m=9/8
Please answer all of the questions EXCEPT the ones already answered. I WILL GIVE BRAINLIEST TO WHOEVER DOES IT QUICKEST!
Answer:
#3= 8 #4=2 #5= 4,3 #6= 5 #7= 8 #8=9
Step-by-step explanation:
In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students who do not have any siblings. What is the probability that a student chosen randomly from the class has a brother and a sister?
Answer:
32 siblings from the class theres a possibility that some students had more siblings and not everyone has one
Step-by-step explanation:
.
The probability that a student chosen randomly from the class has a brother and a sister is [tex]\frac{1}{15}[/tex].
What is probability?The chance that something will happen, or how likely it is that an event will occur.
Formula to calculate probabilityprobability of an event = [tex]\frac{number of favorable outcomes}{Total number of outcomes}[/tex]
According to the given question
we have total 30 students.
6 have a brother
12 have a sister
and 14 who don't have any siblings
If we se the provided Venn diagram
the number of students who have only sister is 10
and the number of student who have only brother is 4.
because, 6+12+14 = 32
but we have only 30 students
⇒ 2 students has a brother and a sister.
therefore,
the probability that a student chosen randomly from the class has a brother and a sister = [tex]\frac{number of students as a brother and a sister}{total number of students}[/tex]= [tex]\frac{2}{30}[/tex] =[tex]\frac{1}{15}[/tex]
Hence, the probability that the chosen student from the class has a brother and sister is [tex]\frac{1}{15}[/tex].
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Express as a single power in base 5.
125 x 5^19X (25)3
Answer:
im pretty sure its 3 plz tell me if im wrong im new here but i think its right
Step-by-step explanation:
In a class of 28 students, 21 have a brother and 9 have a sister. There are 7 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class has a brother and a sister?
1/4
because not a lot of students have both gender as siblings!
Answer:
Step-by-step explanation:
28 students in total
21 - 7 = 14 students only has a brother
9 - 7 = 2 students only have a sister
7 students have both brothers and sisters
probability of a student having a brother and a sister:
[tex]\frac{7}{28} = \frac{1}{4}[/tex]
In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
Write down the x-coordinate of the point where y=x2-x and y=x+1 cross
??? Answers please.....
Jenny left her house at 8:00 AM and went to school at a speed of 2 2/3 mph her brother Jim left the house 4 minutes later and went to the same school. What must his speed be if he wants to keep the same distance between his sister and himself?
Answer:
2 and 2/3 mph
Step-by-step explanation:
The computation of the speed when he wants to keep the same distance is shown below:
Given that
Jenny left her house at 8:00AM
Went for a school at a speed of 2 and 2/3 mph
And, her brother left the house minutes later
So here the speed would be the same i.e. 2 and 2/3 mph
Can someone help me pls
Answer:
60 degrees
Step-by-step explanation:
set up like 240-120
240-120=120
120 divided by 2 equals 60
therefor, the angle is 60 degrees
Please someone help me I don’t understand
Answer:
Step-by-step explanation:
Remark
The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.
Solution
<x = 1/2 (arc measure of 116 + 74)
<x = 1/2 (190)
<x = 95
What is the standard deviation of a normal distribution who meet us 35 in which an X value of 23 has a Z score of -1.63
Answer:
7.362
Step-by-step explanation:
Given :
Mean = 35
Score, x value = 23
Zscore = - 1.63
Recall the Zscore formula :
Zscore = (X - mean) / standard deviation
-1.63 = (23 - 35) / standard deviation
-1.63 = - 12 / standard deviation
standard deviation * - 1.63 = - 12
Divide both sides by - 1.63
Standard deviation = - 12 / - 1.63
Standard deviation = 7.362
The total area of the parallelogram and the triangle is 160 square meters. Find
the value of x.
Answer:
acc to ques ...total area=160=area of parallelogram + area of triangle
b×h +1/2×b×h=160
14×10+5x=160.....(let base of triangle =b=x)
5x=20
x=4......
John is paid $20 per hour, his boss is giving him a 20% raise. How much will he make per hour after the raise?
Answer:$24
Step-by-step explanation:
100 devided by 20 is 5
20 devided by 5 is 4
20+4=24
Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3
please hurry i have 5mins
Answer: I think its A
Step-by-step explanation:
The given function is increasing from 1 to ∞. Therefore, option A is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given graph, the vertex is (1, -2)
For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.
Here, the function is increasing from 1 to infinity.
Therefore, option A is the correct answer.
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Someone plz help me lol
Answer:
the correct anwser is b b cause they both are positive y intercepts
NEED ANSWER
45 inch board cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece . find the lengths of all three pieces
Answer:65
Step-by-step explanation:
Length of first, second and third piece are 5, 15 ,25 inch
Given that;
Length of board = 45 inch
Second cut is 3 times as long as the first piece
Third cut is 5 times as long as the first piece
Find:
Length of all three piece
Computation:
Assume;
Length of first piece = a
So,
Length of second piece = 3a
Length of third piece = 5a
So,
Length of first piece + Length of second piece + Length of third piece = Total length
a + 3a + 5a = 45
9a = 45
a = 5
So,
Length of first piece = a
Length of first piece = 5 inch
Length of second piece = 3a = 3(5)
Length of second piece = 15 inch
Length of third piece = 5a = 5(5)
Length of third piece = 25 inch
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Simplify (8.3) 2.10.(6-1)
Answer:
[tex]8 .3 \times 2.10.5[/tex]
Step-by-step explanation:
Simplify 6 - 1 to 5.
[tex]8.3 \times 2.10 .5[/tex]
Therefor, the answer is 8.3 × 2.10.5
(-3) to the sixth power in exponential form
Answer:
Step-by-step explanation:
A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729
The (-3) to the sixth power, (-3)⁶, is equal to 729.
To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.
Now, let's calculate (-3)⁶ properly:
(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)
Multiplying -3 by itself six times:
(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729
Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.
By raising -3 to the power of 6, we obtain the result of 729.
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Can someone help me pls
Answer:
98 degrees
Step-by-step explanation:
278-82 over 2
196 divided by 2
This will lead to 98, therefor the angle is 98 degrees
I need help with this
Answer:
I'm pretty sure it's b ''the number of chargers increases''
Step-by-step explanation:
Are the triangles to the right congruent? EXPLAIN YOUR ANSWER
Answer:
Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.
Step-by-step explanation:
Answer:
Yes, they are congruent
Step-by-step explanation:
Using Pythagorean theorem in ΔMNP,
Base² + altitude² = hypotenuse²
MP² + 28² = 35²
MP² + 784 = 1225
MP² = 1125 - 784 = 441
MP =√441
MP = 21
As per RH congruent rule,
Hypotenuse NP ≅ RS and
Any one leg , here MP = RQ = 21'
help me pls its due soon
What should the renamed numerators for 5/7 and 2/6 be? (Just type the numerator, not the entire fraction
Answer:
do you mean in simplist form?? if so...
Step-by-step explanation:
5/7=5/7
2/6=1/3
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33
For the inequality -r < 11
Multiplying both sides by -1 will reverse the sign to have;
-1(-r) > -1(11)
r > -11
for the inequality 3r> -33
Divide bith sides by 3 will not reverse the sign because we are divideing by a positive number
3r/3 > -33/3
r > -11
For the inequality -3r < 33
Divide both sides by -3 will reverse the sign
-3r/-3 > 33/-3
r > -11
Hence the required inequalities are -3r < 33, 3r> -33 and -r < 11
Answer:
-3r < 33, 3r> -33 and -r < 11
Step-by-step explanation:
i just took the test