Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money did
Samy receive?
Instructed to give 300mg the medication is supplied 200mg 5 ml how much do you give
Answer:
200mg is in 5 ml. So how much is in 1 ml? 200÷5=40mg per ml. 300÷40=7.5ml
A researcher claims that an ancient scroll originated from Greek scholars in about 500 BCE. A measure of its carbon-14 decay rate gives a value that is 89%% of that found in living organisms. How old is the scroll
Answer:
[tex]963.34\ \text{years}[/tex]
Step-by-step explanation:
[tex]t_{1/2}[/tex] = Half life of carbon = 5730 years
[tex]\dfrac{N}{N_0}[/tex] = Decay rate = [tex]89\%=\dfrac{89}{100}[/tex]
Duration of time passed is given by
[tex]t=t_{1/2}\dfrac{\ln\dfrac{N}{N_0}}{\ln\dfrac{1}{2}}\\\Rightarrow t=5730\times\dfrac{\ln\dfrac{89}{100}}{\ln\dfrac{1}{2}}\\\Rightarrow t=963.34\ \text{years}[/tex]
The scroll is [tex]963.34\ \text{years}[/tex] old.
Identify the expressions for which limits exist.
The first and last expressions are identified as a limit that exists.
What is a limit?'In Mathematics, a limit is defined as a value that a function approaches the output for the given input values.'
According to the given problem,
For expression 1,
[tex]\lim_{n \to4}\frac{x^{2}-x-12 }{2-x}[/tex]
⇒ [tex]\lim_{n \to4} \frac{x^{2}-4x+3x-12 }{4-x}[/tex]
⇒ [tex]\lim_{n \to4}\frac{-x(4-x)-3(4-x)}{4-x}[/tex]
⇒ [tex]\lim_{n \to4}\frac{(4-x)(-x-3)}{4-x}[/tex]
⇒ [tex]\lim_{n \to4 }(-x-3)[/tex]
Now, we put the value of x as 4
⇒ - 4 - 3
= -7
Therefore, the limit exists.
For the last expression,
[tex]\lim_{x \to 2} \frac{x^{2}+3x-10 }{x^{2} -4}[/tex]
⇒ [tex]\lim_{x \to 2} \frac{x^{2}+5x - 2x-10 }{(x+4)(x-4)}[/tex]
⇒ [tex]\lim_{x \to2} \frac{x(x+5) -2(x+5)}{(x+4)(x-4)}[/tex]
⇒ [tex]\lim_{n \to 2} \frac{(x+5)(x-2)}{(x+4)(x-4)}[/tex]
Now, putting the value of x = 2 in the expression,
⇒ (2+5)(2-2) / (2+4)(2-4)
⇒ 7*0 / 6*(-2)
= 0
Therefore, the limit exists.
For the other expressions, we cannot factorize the numerator or the denominator to cancel out the denominator because of which if we put the values of x directly into the denominator without cancelling it out, the denominator would be zero, which means infinity because zero in the denominator of a fraction means infinity or undefined or does not exist.
Hence, we can conclude that expressions 1 and 6 are limits that exist.
Learn more about limits here: https://brainly.com/question/13100668
#SPJ2
I GIVEEEE BRAINLILSTER
Answer:
B i think it is
Step-by-step explanation:
Answer:
Its is B
Step-by-step explanation:
There are 24 snake. the ratio is 3 frogs fro every 4 snakes. 24 divided by 4 is 6. 3 x 6 is 18. 18 + 24 is 42.
need the answer thanks!
Answer:
The sum does not exist, but if you are in a senior math class, it could be - infinity.
Step-by-step explanation:
If the sum does not have an endpoint (and it looks like it does not), then the sum really does not exist.
Consider this question.
Does the sum stop at 0 as in
50 + 40 + 32 + 24 + 16 + 8 + 0
But why not - 8 or - 16 or ...
So it is not that the sum does not exit. It is that we do not know where that stop is. Depending on your grade level, you could answer - infinity, but I doubt that is the expected answer.
What is this? Please answer with an explanation
Barry's deck of cards contains 40 blue cards and 70 red cards Max deck of cards contains the same number of blue cards but the ratio of blue cards to red cards is not 8.9 how many total cards does Max deck of cards contain
Answer:
95
Step-by-step explanation:
If the ratio is
8 : 9
and you know that there are 40 blue cards, than multiply the ratio by 5
8 ⋅ 5 : 9 ⋅ 5
40 : 45
If Max has 40 blue cards, he will have 45 red cards. Therefore, he has 40 + 45 = 95 cards in total.
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player in an infielder.
Let O = the event that a player is an outfielder.
Let H = the event that a player is a great hitter.
Which is the correct symbol for the probability that a player is an infielder or is not a great hitter?
a. P(I|¯H)
b. P(¯H|I).
c. P(I or ¯H).
d. P(I and ¯H).
Answer: c. [tex]P(I \text{ or }\overline{H})[/tex]
Step-by-step explanation:
Notation to show "not an event E" : [tex]\overline{E}[/tex]
Given: I = the event that a player in an infielder.
H = the event that a player is a great hitter.
= the event that a player is not a great hitter.
The correct symbol for the probability that a player is an infielder or is not a great hitter : [tex]P(I \text{ or }\overline{H})[/tex]
hence, the correct option is c. [tex]P(I \text{ or }\overline{H})[/tex]
a mail courtier charges a base fee of $6.95 plus $9.50 per package being delievered. If x represents the number of packages delievered, which of the following equations could be used to find y, the total cost of mailing packages?
A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at –6 and point B is at 2. The student’s work is shown.
C = (three-fourths) (2 minus (negative 6)) + (negative 6)
C = (three-fourths) (8) minus 6
C = 6 minus 6
C = 0
Analyze the student’s work. Is the answer correct? Explain.
No, the student should have added 3 + 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths.
No, the student should have subtracted 2 from –6 to find the distance.
No, the student should have added 2 at the end to add to the starting point.
Yes, the student’s answer is correct
Answer:
Answer is A
Step-by-step explanation:
Took on Edge 2020
The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.
Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:
Total = 3 + 4 = 7If point C is on the line segment AB, hence the point C on the line will be expressed as:
[tex]C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}[/tex]
Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths
Learn more on midpoint here: https://brainly.com/question/5566419
A right triangle with a leg 3mi and hypotenuse 5mi
What is corollary to triangle sum theorem?
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.
Answer:
A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
Find the distance from point A(15,−21) to the line 5x+2y = 4. Round your answer to the nearest tenth.
Answer:
5.8
Step-by-step explanation:
If done on graph, just subtract x value of point A with x value of the line when its y value is -21.
If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
1, 2, 3
Step-by-step explanation:
Solve the inequality for n.
Divide both sides by 4.
4n < 16
4n/4 < 16/4
n < 4
Any number less than 4 is a solution. Now we look at the numbers in the set.
The numbers 1, 2, 3 are solutions.
1 + 4.25n + 32p – 3 + (–2p) + 54n=
Answer:
58.25n+30p-2
Step-by-step explanation:
Answer: I got 233n + 120p - 8
———————————————
4
Step-by-step explanation:
A leak springs from an oil tanker in the ocean, spreading oil from the boat in a circle. If the oil patch gets 5 inches wider a minute, how quickly is the area of the oil spill increasing when the patch is 20 feet wide
Answer:
150π in^2/min.
Step-by-step explanation:
Area of circle A = πD^2/4
where D is the diameter of the circle.
now, taking differentiation w.r.t. to time t we get
dA/dt = π/4 ×2D×dD/dt
given dD/dt = 5in/min
therefore, dA/dt = π/4×2×5×(20×12)
=π/4×600
=150π in^2/min.
Answer:
600π in^2/min
What is the inverse of the function f(x) = 2x - 10?
Answer:
f⁻¹(x) = (x + 10)/2
General Formulas and Concepts:
Algebra I
Equality PropertiesInverse FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x - 10
Step 2: Rewrite
Redefine: y = 2x - 10Swap x/y: x = 2y - 10Step 3: Find Inverse
Solve for the new y.
Add 10 to both sides: x + 10 = 2yDivide 2 on both sides: (x + 10)/2 = yRewrite: y = (x + 10)/2Redefine: f⁻¹(x) = (x + 10)/2Answer:
[tex]let \: the \: {f}^{ - 1}(x) \: be \: m \\ m = \frac{1}{2x - 10} \\ m(2x - 10) = 1 \\ 2x - 10 = \frac{1}{m} \\ x = \frac{1}{2m} + 5 \\ therefore \\ {f}^{ - 1} (x) = \frac{1}{2x} + 5[/tex]
4/5+5/50
helllppppp pleaseeee
Answer:
9/10
Step-by-step explanation:
you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5
4/5(10/10) + 5/50
40/50 + 5/50
45/50
simplify it
9/10
y = a(b), a represents
Answer:
The equations are x=a and y=b.
The graph of x=a is a line parallel to y-axis and y=b is a line parallel to x-axis.
∴ the angle between them is 90o, i.e. they intersect.
So, the equations are consistent.
Now solving simultaneously, the solution is (a,b).
So, the point of intersection is (a,b).
Hence, option D is correct.
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answer:
In triangle ABC and triangle CDA
AB=CD(given)
BC=DA(given)
AC=AC(common)
Thus triangle ABC and triangle CDA are congruent by SSS rule
Answer:
YesStep-by-step explanation:
Given:
AB = CDAD = BCAC = ACThree congruent sides, two given and one shared
Side-side-side postulate SSS
What is the constant of proportionality between y and x in the graph
Answer:
5.1
Step-by-step explanation:
choose the numerical expression that represents multiplying the sum of 159 and 833 by 6
Answer:
(159+833)*6 = 5952
Step-by-step explanation:
(159 + 833) * 6
= 992*6 = 5952
The hourly wages of a sample of 130 system analysts are given below.
mean=90
mode= 103
median =104
range =18
variance= 729
Find the coefficient of variation.
a. 0.30%
b. 30%
c. 8.1%
d. 81%
Answer: b. 30%
Step-by-step explanation:
A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]
Given: mean = [tex]\mu=90[/tex]
Variance = [tex]\sigma^2 = 729[/tex]
[tex]\sigma=\sqrt{729}=27[/tex]
Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]
in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]
Hence, correct option is b. 30%.
Based on the information given the coefficient of variation is b. 30%.
Coefficient of variationUsing this formula
Coefficient of variation=√Variance/Mean
Let plug in the formula
Coefficient of variation=√729/90
Coefficient of variation=27/90
Coefficient of variation=0.3×100
Coefficient of variation=30%
Inconclusion the coefficient of variation is b. 30%.
Learn more about coefficient of variation here:https://brainly.com/question/12327871
HURRY PLS ILL GIVE THE FIRST BRAINLYEST Isabella’s mom takes her and two other friends mini-golfing. The table below shows how much different things cost at the mini-golf park. Price Sheet Item Cost Adult Game $7.00 Child Game $3.50 Pirate Hat $17.25 10 Arcade Tokens $4.00 Isabella’s mom purchases 1 adult game, 6 child games, a pirate hat, and 30 arcade tokens. She has a coupon for StartFraction 1 over 10 EndFraction off the total bill. How much did Isabella’s mom spend at the mini-golf park? $31.75 $44.25 $51.53 $57.25
Answer:
yea its C
Step-by-step explanation:
he is right.
Answer:
c
Step-by-step explanation:
The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable KK ?
A. 0.0625
B. 0.9375
C. 4
D. 15.49
E. 240
Answer:
E 240
Step-by-step explanation:
Geometric Distribution mean = (1- p) / p
16 = (1 - p) / p
16p = 1 - p ; 17p = 1 ; p = 1/17 = 0.058
Standard Deviation = (1 - p) / p^2
= (1 - 0.058) / (0.058)^2
0.942 / 0.003364
= 280 , closest to 240
6. 1350 = 5 = find the quotient
Answer:
this question is of high school or collage
#5 Test question 7th grade math
Answer:
0.85p and p - 0.15p are right
what is the final cost of a book priced at $10.00 with a tax rate of 5%?
Answer:
10.50
Step-by-step explanation:
5% of 10 is 0.5
0.5+10=10.50
Answer:
The answer is $10.50
Step-by-step explanation:
5% of $10 is 50cents so you add .50 to 10 and get $10.50
Help me out please I’m kinda struggling with this
Answer:
Think of a =1 and b=3
All three choices are false
Step-by-step explanation:
Answer:
Step-by-step explanation:
a is less than b in all the cases... if a or b were below zero... it might make a difference.. but b/c they are both positive.. the abs signs make no difference
all the answers are false