help me plsss! need help
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
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Please fast no link or bot 1 volcauray the one at the top do all question at the screen.
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Find the area of the shaded region.
150 degrees
7 cm
A =[?] cm2
Enter a decimal rounded to the nearest tenth.
Answer:
102.2
Step-by-step explanation:
A man wants to mesure the height of a nearby building. He places a 7ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building’s shadow is 162ft, the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot.
The height of the building is approximately 227 feet.
In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.
The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.
As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.
Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF
On substituting the values from the given data, we get:
AE/(EF + 5.5) = 7/5.5.... (1)
Similarly, we can write from the given data:
BD/DF = 162/5.5.... (2)
From equations (1) and (2), we can write:
AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)
On solving the above equation for AE, we get:
AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft
Therefore, the height of the building is approximately 227 feet.
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9
Mark studied a group of 30 whales. If each wale weighed approximately 380,000 pounds, find
the total weight of all 30 whales. Express your answer is standard form.
Answer:
11400000
Step-by-step explanation:
1 whale = 380000 lbs
30 whale weighs 380000×30
30 whales = 11400000
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
What is the percent of change from 60 to 63?
It is 5%
63-60=3
60 divided by 3 = 5
5%
In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
Find a relationship between x and y so that (x, y) is equidistant from the two points (4, –1) and (6, 3).
Use cylindrical shells to find the volume of the solid generated when the region
R under y = x2 over the interval (0,2) revolved about the line y = -1
Answer:
\(\displaystyle V = \frac{176 \pi}{15}\)
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Terms/CoefficientsExpandingFunctionsFunction NotationGraphingExponential Rule [Root Rewrite]: \(\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}\)Calculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
Integration Rule [Fundamental Theorem of Calculus 1]: \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Integration Property [Addition/Subtraction]: \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)
Shell Method:
\(\displaystyle V = 2\pi \int\limits^b_a {xf(x)} \, dx\)
[Shell Method] x is the radius[Shell Method] 2πx is the circumference[Shell Method] 2πxf(x) is the surface area[Shell Method] 2πxf(x)dx is the volumeStep-by-step explanation:
Step 1: Define
Identify
Graph of region
y = x²
x = 2
y = 4
Axis of Revolution: y = -1
Step 2: Sort
We are revolving around a horizontal line.
[Function] Rewrite in terms of y: x = √y[Graph] Identify bounds of integration: [0, 4]Step 3: Find Volume Pt. 1
[Shell Method] Find distance of radius x: \(x = y + 1\)[Shell Method] Find circumference variable f(x) [Area]: \(\displaystyle f(x) = 2 - \sqrt{y}\)[Shell Method] Substitute in variables: \(\displaystyle V = 2\pi \int\limits^4_0 {(y + 1)(2 - \sqrt{y})} \, dy\)[Integral] Rewrite integrand [Exponential Rule - Root Rewrite]: \(\displaystyle V = 2\pi \int\limits^4_0 {(y + 1)(2 - y^\bigg{\frac{1}{2}})} \, dy\)[Integral] Expand integrand: \(\displaystyle V = 2\pi \int\limits^4_0 {(-y^\bigg{\frac{3}{2}} + 2y - y^\bigg{\frac{1}{2}} + 2)} \, dy\)[Integral] Integrate [Integration Rule - Reverse Power Rule]: \(\displaystyle V = 2\pi \bigg( \frac{-2y^\bigg{\frac{5}{2}}}{5} + y^2 - \frac{2y^\bigg{\frac{3}{2}}}{3} + 2y \bigg) \bigg| \limits^4_0\)Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: \(\displaystyle V = 2\pi (\frac{88}{15})\)Multiply: \(\displaystyle V = \frac{176 \pi}{15}\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Applications of Integration
Book: College Calculus 10e
write the ratio 6.5 : 3.25 in the form n : 1
Answer:2:1
Step-by-step explanation:
6.5:3.25
6.5/3.25=2/1
6.5:3.25=2:1
therefore n=2
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
the mean of an iq test are normally distributed with a mean of 100 points and a standard deviaiton of 15. calculate the following probability in r using the pnorm() function. what is the probability a student taking the exam scores below 125 points?
The percentage of scores below 112 is equal to 78.81.
Let X represent a test's score. X is regularly distributed, hence
P(X < 112)
= P[(X - 100)/15 < (112 - 100)/15]
= P[ SNV < 0.8] .8]
SNV stands for Standard Normal Variable,
A normal distribution with a mean of 0 and a standard deviation of 1 is the standard normal distribution. When referring to a random variable that has this typical normal distribution, the letter Z is frequently employed.
z = (X – μ) / σ
If X is a normal random variable, represents its mean, and represents its standard deviation. The normal distribution formula is also available here.
and the value is 0.7881.
Thus, the percentage of scores below 112 is equal to 78.81.
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The full question
If the scores for a test have a mean of 100 and a standard deviation of 15, what is the percentage of scores that will fall below 112? Assuming a normal distribution
cevap nedir hepsinin lütfen söyleyin
Answer:
Find the degree of this polynomial.
3j
Step-by-step explanation:
:)
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How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answer:
The result is different
Step-by-step explanation:
Hope this helps
a) determine the point where the two lines intersect. b) use your results from part (a) to obtain the equation of the plane that passes through the two lines.
a. The two lines intersect at the point (-1/2, 8, 3/2).
b. The equation of the plane that passes through the two lines is -2y - 4z + 20 = 0.
a) To find the point where the two lines intersect, we need to solve the system of equations:
x = -2 + t
y = 3 + 2t
z = 4 - t
x = 3 - t
y = 4 - 2t
z = t
Equating x from the two equations, we get:
-2 + t = 3 - t
2t = 5
t = 5/2
Substituting t in either equation, we get:
x = -2 + 5/2 = -1/2
y = 3 + 2(5/2) = 8
z = 4 - 5/2 = 3/2
Therefore, the two lines intersect at the point (-1/2, 8, 3/2).
b) To obtain the equation of the plane that passes through the two lines, we first find the direction vectors of the lines. These are given by the coefficients of t in the equations:
Line 1: (-2, 3, 4) + t(1, 2, -1)
Line 2: (3, 4, 0) + t(-1, -2, 1)
The direction vectors are (1, 2, -1) and (-1, -2, 1), respectively.
The normal vector of the plane can be found by taking the cross-product of these two direction vectors:
(1, 2, -1) × (-1, -2, 1) = (0, -2, -4)
Now we use the point (-1/2, 8, 3/2) that we found in part (a) and the normal vector (0, -2, -4) to write the equation of the plane in the point-normal form:
0(x + 1/2) - 2(y - 8) - 4(z - 3/2) = 0
Simplifying, we get:
-2y - 4z + 20 = 0
Therefore, the equation of the plane that passes through the two lines is -2y - 4z + 20 = 0.
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The question is -
a) determine the point where the two lines
x=−2+t, y=3+2t, z=4−t and x=3−t, y=4−2t, z=t intersect.
b) use your results from part (a) to obtain the equation of the plane that passes through the two lines.
Put the following correlation coefficients in order from weakest to strongest in terms of strength of linear association.
-0.903, 0.339, -0.431, 0.137, 0.869
Answer:
0.137 ->0.339 -> -0.431 -> 0.869 -> -0.903
I will mark you brainiest!
Find the value of x
A) 8
B) 5.5
C) 10.5
D) None of the choices are correct.
The answer is: [D]: "None of the choices are correct."
_________________________________________________________
Note:
_______________________________________________________
x/10 = 10/18 ;
The "10's" cancel to "1" ; since "10÷10 = 1" ;
x/1 = 1/18 = 1 ÷ 18 = 0.0555555555555556
The answer is: [D]: "None of the choices are correct."
_________________________________________________________
Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )
(2a+3)²-2^(a-1)^(a+1)+a^(a-1)³
Answer = BRAINLIEST
Answer:
Just use algebra calculator
Step-by-step explanation:
I NEED HELP WITH THIS QUESTION ASAPP!!!
The speed of the ball after one second is given as follows:
9.175 m/s.
How to obtain the speed of the ball?The speed function is the derivative of the position function, which is graphed in this problem.
The position function, in meters, for a projectile's height, is given as follows:
h(t) = -4.9t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.From the graph, the initial height is given as follows:
h(0) = 6.
When t = 4, h = 2.5, hence the initial velocity is obtained as follows:
2.5 = -4.9(4)² + 4v(0) + 6
4v(0) = 2.5 - 5 + 4.9(4)²
4v(0) = 75.9
v(0) = 75.9/4
v(0) = 18.975.
Then the position function is of:
h(t) = -4.9t² + 18.975t + 6.
The velocity function is the derivative of the position, hence:
v(t) = -9.8t + 18.975.
Then the velocity after one second is of:
v(1) = -9.8 + 18.975 = 9.175 m/s.
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The diameter of a circle is 2 miles. What is the circle's area?
d=2 mi
square miles
Use 3.14 for л.
Answer:
A= 3.14
Step-by-step explanation:
The formula for finding the area of a circle is A=π r²
The radius = half of the diameter so that makes the radius 1 in this case.
When you plug in the values for the equation you get A= 3.14*1²
Answer:
3.14
Step-by-step explanation:
The Formula for area of a circle is л times r^2. R(radius) is half of D(diameter )in which this case is 1. So 1^2 = 1 times л which is 3.14. 3.14 times 1 = 3.14 as answer.
What is the surface area of the cuboid 3cm 5cm and 2cm.
Answer:
SA = 62 cm2
Step-by-step explanation:
The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
What is the formula for the total surface area of a cuboid?The total surface of the cuboid = 2(LB+BH+HL)
Consider that the length, width, and height of the cuboid are L, B, and H.
The cuboid is given in the question
Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.
The surface area of the cuboid = 2(LB+BH+HL)
Here L = 3 cm, B = 5 cm, and H = 2 cm
Substitute the values in the above formula, and we get
The surface area of the cuboid = 2(3 × 5 + 5 × 2 + 2 × 3)
The surface area of the cuboid = 2(15 + 10 + 6)
The surface area of the cuboid = 2(31)
The surface area of the cuboid = 62 cm²
Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.
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As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
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AC || BD||AB||CD and AC | CD
Answer:
Ac
i dont know i need points
so hope it helps
Cody and Tyler were once the same height. Since then, Tyler's height has increased by 20%, while Cody has grown half as much. If Tyler is 4 feet tall now, how many inches tall is Cody now? 30 POINTS!! :) please show work!!
answer: he is really short lol (JK ignore this answer, look at the answer below)
Answer:
24 inches
Step-by-step explanation:
how many inches tall is Cody now?
since Cody grew half as much he is 2 feet tall now, which is 24 inches(it's asking for the answer in inches so do not put feet).
1 feet = 12 inches.
2 feet = 24 inches.
Ace Carlos
Answer:
43.2 inches
Step-by-step explanation:
if tyler has grown by 20℅ and cody is half as much then cody is 10℅.
if tyler is 4 feet then,
4 feet = 100℅
x. = 20℅
x = 20℅ × 4 feet /100℅
x = 0.8 feet
if cody has grown half as much, 0.8/2 = 0.4feet
if they were equal once to find Cody's height we can, 4feet-0.4feet = 3.6 feet = 43.2 inches
How many pints are in 6 1/2 quarts?
Answer:
13 pints
Step-by-step explanation:
quarts times 2.
6.5•2=13
Answer:
13 pints.
Step-by-step explanation:
The conversion rate from pints to quarts is 1:2 meaning every 1 pints will result in 2 quarts. Therefore with this formula, (6 1/2)*2 brings the result to 13.
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Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.