Answer:
Two weighing
Step-by-step explanation:
In the context, it is given that one of the three coins is fake and the other two are real. It is also mentioned that the fake coin is either heavier or lighter than the other two real coins.
Now to find the fake coin, we take a balance scale and lace one coin on one pan of the balance and place the second coin on the other pan of the same balance. We keep the third coin aside.
Now we check the balance scale. If the scale is balance, then we can conclude that the coin that we kept aside is the fake coin as both the real coins have same weight.
Now we replace the one of the coin on the pan with the coin that is kept aside and check the balance. Remember now on the pan, there is one real coin and one fake coin. The balance scale will be dis-balance as the fake coin is either heavy or light than the real coin. Thus we can identify the fake coin.
Now there is a door whose height is more than its width by 6 chi 8 cun. The distance between the [opposite] corners is 1 zhang. Find the height and width of the door.NOTE: 1 zhang
Complete question is;
Now there is a door whose height is more than its weight by 6 chi 8 cun. The distance is between the opposite is corners is 1 zhang. Find the height and width of the door.
Note: 1 zhange = 10 chi = 100 cun. Give your answers in units of chi and cun.
Answer:
h = 9 chi 6 cun
w = 2 chi 8 cun
Step-by-step explanation:
Let the height be h and width be w.
Now, we are told that height is more than its weight by 6 chi 8 cun.
Thus,
weight = height - 6 chi 8 cun
Let's convert 6 chi 8 cun to chi for easy calculation.
Since 100 cun = 10 chu
Then 8 cun = 8 × 10/100 = 0.8 chi
Thus 6 chi 8 cun = 6 chi + 0.8 chi = 6.8 chi
Thus;
Height is h
Width is (h - 6.8) chi
Now, we are told that the distance between the corners is 1 zhang = 10 chi
Distance between corners is the diagonal of the door.
Thus, the height, width and diagonal con form a right angle triangle which can be solved by Pythagoreas theorem.
Thus;
h² + w² = 10²
Plugging in (h - 6.8) for w, we have;
h² + (h - 6.8)² = 100
h² + h² - 13.6h + 46.24 = 100
2h² - 13.6h + 46.24 - 100 = 0
2h² - 13.6h - 53.76 = 0
Using quadratic formula, we have;
h = 9.6 chi
Converting 0.6 chi to cun gives;
0.6 × 100/10 = 6 cun
Thus, h = 9 chi 6 cun
Since w = (h - 6 chi 8 chun)
Then, w = 9 chi 6 cun - 6 chi 8 chun = 2 chi 8 chun
Thirty-two different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 82 sec, what does df denote, and what is its value? What does df denote?
A. The sample size
B. The test statistic
C. The sample standard deviation
D. The number of degrees of freedom
The value of df is _________ Type an integer or a decimal. Do not round )
Answer:
D. The number of degrees of freedom
The value of df is 31
Step-by-step explanation:
Degrees of freedom (DF) denotes the amount of information provided by the data you can "consume" to estimate unknown population parameters' values and calculate the variability of those estimates.
Increasing the sample size provides more information about the population, which increases the degrees of freedom present in the data.
Given that:
The sample size in the study (n) = 32
The degree of freedom df = n - 1
The degree of freedom df = 32 - 1
The degree of freedom df = 31
Jenna was on a 268 mile long road trip. During the first part of the trip there was lots of traffic so she only averaged 28 mph. The second part of the trip there was no traffic so she could drive 46 mph. She spent 1 hour longer after the traffic cleared than stuck in traffic. How long did she travel at each speed?
In traffic, she drove for______hours. After the traffic cleared, she drove for_____hours
Answer:
Step-by-step explanation:
It takes 36 minutes less time to travel 120 miles by car at night than by day because the lack of traffic allows the average speed at night to be 10 miles per hour faster than in the daytime. Find the average speed ,
Hope this helps:)
If an AaBbccDd individual is crossed to a AaBbCcDD individual, what is the probability that the first offspring will be of AabbccDd genotype?
Answer:
The probability that the first offspring will be of AabbccDd genotype is 0.03125.
Step-by-step explanation:
The parents genotype are: AaBbccDd and AaBbCcDD.
Aa and AaA a
A AA Aa
a Aa aa
P (Aa) = 2/4 = 1/2
Bb and BbB b
B BB Bb
b Bb bb
P (bb) = 1/4
Cc and ccc c
C Cc Cc
c cc cc
P (cc) = 2/4 = 1/2
Dd and DDD d
D DD Dd
D DD Dd
P (Dd) = 2/4 = 1/2
Then the probability that the first offspring will be of AabbccDd genotype is:
P (AabbccDd) = (1/2) × (1/4) × (1/2) × (1/2) = 1/32
Thus, the probability that the first offspring will be of AabbccDd genotype is 0.03125.
Which statement is true about this radical function?
[tex]f(x)=3\sqrt[3]{- x} +2\\[/tex]
A.
The function is strictly increasing.
B.
The function is strictly decreasing.
C.
The function is increasing and decreasing.
D.
The function is constant.
Answer:
B. the function is strictly decreasing.
Step-by-step explanation:
Just took the test on Plato.
Answer:
The function is strictly decreasing.
Step-by-step explanation:
Plato/Edmentum
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Which inequality has the graph shown below?
y < 3x + 1
y < 2x – 3
y > 2x - 3
y > 2x - 3
Answer:
the second option y<2x-3. how i know its collect because i used desmos
The inequality that the graph has shown is
y < 2x - 3
Option B is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
From the graph, we have the following coordinates.
(0, -3) and (1.5, 0)
The coordinates can be found in the following inequalities.
Now,
y < 3x + 1
y = 3x + 1
When x = 0, y = 1
This is not possible.
y < 2x – 3
y = 2x - 3
When x = 0, y = -3
This is possible.
y > 2x - 3
y = 2x - 3
When x = 0, y = -3
This is possible
The shaded portion of the graph is more on the negative y-axis.
So,
y < 2x - 3.
Thus,
The graph given has shown y < 2x - 3.
Learn more about inequalities here:
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write the equation in slope-intercept form. y - 2 = 6 (x + 1)
Answer:
y=6x+8
Step-by-step explanation:
Write in slope-intercept form, y=mx+b.
Plzzzzz HELPPP WITH DIS LOOK AT THE PHOTO
Helllllppppppp me please!!!!!
Answer:
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
Step-by-step explanation:
Since you already have the slope and the y-intercept, use it to make a Slope-Intercept Form by using this formula:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-Substitute:
Slope: [tex]\frac{4}{3}[/tex]
Y-intercept: [tex]1[/tex]
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
Which graph represents the function y = cos(4x)?
Answer is graph B
Answer:
Step-by-step explanation:
Let the equation of the cosine function is,
y = Acos(Bx)
From the graph attached,
A = Amplitude = [tex]\frac{1-(-1)}{2}[/tex]
= 1
B = [tex]\frac{2\pi}{\text{Period}}[/tex]
B = [tex]\frac{2\pi}{\frac{\pi}{2}-0}[/tex]
B = [tex]\frac{4\pi}{\pi}[/tex]
B = 4
Therefore, equation of the cosine wave given in the graph will be,
y = 1.Cos(4x)
y = Cos(4x)
Answer:
B
Step-by-step explanation:
can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12
Answer:
13, 16.5, 12
Step-by-step explanation:
-7x= -91 divide both sides by -7 to isolate x
[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1
x=13
0.5x + 1.75 = 10 subtract 1.75 from both sides
0.5x +1.75-1.75 =10 -1.75
0.5x = 8.25 divide by 0.5 both sides
[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]
x=16.5
0.75h +3=12 subtract 3 from both sides
0.75h = 12-3 divide both sides by 0.75
[tex]h= \frac{9}{0.75}[/tex] = 12
Solve for m v2 =3P/mn
Answer:
[tex]m=\frac{3P}{v^2n}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]v^2=\frac{3P}{mn}[/tex]
Step 2: Solve for m
Multiply both sides by mn: [tex]v^2mn=3P[/tex]Divide both sides by v²: [tex]mn=\frac{3P}{v^2}[/tex]Divide both sides by n: [tex]m=\frac{3P}{v^2n}[/tex]17) A dog kennel charges $40 per night for boarding
and $5 for walking your dog.
a) Write an equation in standard form that models the
possible combinations if you plan to spend $200.
b) Graph the equation using x and y intercepts.
I
11
10
5
1 3 4 5 6 7 8 9 10 11 12 13
c) List all combinations that can be used.
Answer:
c
Step-by-step explanation:
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
i am having trouble with this question: 2/3 (3x−6)= 3/4 (2x+8)
find x
Answer:
X=24
Step-by-step explanation:
In
△
L
M
N
,
△LMN,
∠
M
≅
∠
L
,
∠M≅∠L,
L
M
=
7
LM=7 and
N
L
=
16
NL=16. Find the length of
M
N
.
MN.
Answer:
M=12
Step-by-step explanation:
The required length of MN in the given triangle LMN is 16 units.
What is a triangle?A polygon with three vertices, angles and sides is called a triangle.
Given that, a triangle △ LMN, where, ∠ M ≅ ∠ L, LM = 7 and LN = 16
Since, ∠ M ≅ ∠ L
Therefore, MN ≅ LN
By the postulate :-
Sides opposite to congruent angles of a triangle are also congruent.
Therefore,
MN = LN
Since, LN = 16
Therefore, MN = 16 [By transitive property]
Hence, the required length of MN in the given triangle LMN is 16 units.
Learn more about triangles, click;
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ΔXYZ was reflected to form ΔLMN. Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees. Which statements are true regarding the diagram? Check all that apply.
Answer:
A,B,C and F
Step-by-step explanation:
i just took the assignment
Answer:
a,b,c,f
Step-by-step explanation:
edg 2021
Graph the line with the equation y = -x - 1.
that is what the line will look like.
This is a straight line. We only need 2 points to graph a straight line.
Let x = 0
y = -(0) - 1
y = -1
Our first point is (0,-1).
Let x = 1
y = -(1) - 1
y = -2
Our second point is (1,-2).
See attachment for graph.
John has $80. Every week, he spends $7. Create an equation that represents how much money, m , he has after t weeks
Answer:
80/7
Step-by-step explanation:
I WILL GIVE 175 POINTS TO ANYONE WHO HELPS ON ALL QUESTIONS
1. Write an equation in Slope-Intercept Form for a line that passes through (2, 2) and (0, 3).
2. Write an equation in point slope and slope-intercept that includes the points (0, 0) and (9, -3).
3. Write an equation in point-slope form that describes the line with a slope of 2 that contains the point (4, -3)?
4. A landscape service charges customers a one-time fee and an hourly rate of $15. For 3 hours of work, the company charge $75. 4. Write an equation in point-slope form. 5. How much does the landscape service charge for 12 hours of work?
5. A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. 6. Write an equation in standard form to represent the total cost t of a project that takes h hours. 7. How much does the programmer charge for a coding project that takes 25 hours?
6. Write an equation in slope-intercept form for a line that passes through the point (-4 , 3) and is parallel to the line 푦 = 5푥 + 2.
7. Write an equation in slope-intercept form for a line that passes through the point (6 , 4) and is perpendicular to the line 푦 = − 3 2 푥 − 4.
Answer:
--No answers here, just an additional question---
Question:
What in the heck is this : 푦
Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per hour and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours
Answer:
Step-by-step explanation:
multiply 68*59
Pentru cei 22 de elevi din echipa de fotbal a școlii au fost cumpărate tricouri, unele mărimea M și altele mărimea S. Un tricou mărimea M costă 72 de lei, iar cel mărimea S costă 54 de lei. Dacă s-a plătit în total suma de 1458 de lei, atunci s-au cumpărat
tricouri mărimea M și
tricouri mărimea S.
Answer:
Hola senor
Step-by-step explanation:
One pound of candies costs $3.50.
How much will we have to pay for 4.5 lb?
Answer:
$15.75
Step-by-step explanation:
Multiply the cost of one pound, 3.50 times how many we want, 4.5
3.5×4.5=15.75
Answer: $15.75
Step-by-step explanation:
3.5 x 4.5 = 15.75
Sale price $9,450 sale tax rate 8%
Answer: 10,206
Step-by-step explanation: 9,450x0.08 = 756 + 9,450
Answer:
8694
Step-by-step explanation:
9450x0.08=756
9450-756=
Question 7 (1 point)
Suppose that a normal distribution has a mean of 20 and a standard deviation of 4.
What is the s-score of 13
Answer:
-1.75
Step-by-step explanation:
The z-score = (n - m) / d where n is the value (13) m = mean and d = standard deviation.
= (13 - 20) / 4
= -1.75 (answer)
Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees
Answer: the answer is 55°
Step-by-step explanation:
You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten
I NEED HELP PLEASE HELP ME
Answer:
2
Step-by-step explanation:
PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
Asymptote: y = 4
Domain: All positive real numbers x > 0
Range: 0 [tex]\leq \\[/tex] y [tex]\leq \\[/tex] 4
Zero: Root at zero
x-intercept: at zero
y-intercepts: none
f(1)= 2
f(9)= 3
Step-by-step explanation:
Identify the slope of the equation: y = 5x + 2 A. 4 B. 2 C. 7 D. 5
Answer:
5
Step-by-step explanation:
This equation is in y = mx + b form, or, the standard form of a line.
m represents the slope, and b represents the y-intercept. No b means that the y-intercept is 0.
