The time it will take for the rescued sailors to be 57 miles from their life boat is given as follows:
3.35 hours.
What is relative velocity?Relative velocity is obtained considering the direction in which the objects are traveling, as follows:
Opposite direction: the relative velocity is given by the sum of the velocities of each object.Same direction: the relative velocity is given by the subtraction of the velocities of each object.For this problem, the sailors and the lifeboat are traveling in opposite directions, hence the relative velocity, considering each of their velocities is given as follows:
v = 14 + 3 = 17 miles.
(meaning that they get 17 miles farther each hour).
Velocity is distance divided by time, hence the time it will take for them to be 57 miles apart is given as follows:
17 = 57/t
17t = 57
t = 57/17
t = 3.35 hours.
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HELP ASAP WILL MARK BRAINLIEST PART 1
Answer:
Q1 : [tex]\frac{5}{8}[/tex]
Q2: [tex]\frac{2}{3}[/tex]
Q3: [tex]\frac{11}{12}[/tex]
Q4: [tex]\frac{4}{5}[/tex]
Q5: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
Q1. [tex]\frac{5}{8}[/tex]
Q2. [tex]\frac{2}{3}[/tex]
Q3. [tex]\frac{11}{12}[/tex]
Q4. [tex]\frac{4}{5}[/tex]
Q5. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Q1.
[tex]\sqrt{\frac{25}{64}}[/tex] ⇒ [tex]\frac{\sqrt{25}}{\sqrt{64}}[/tex] = [tex]\frac{5}{8}[/tex]
Q2.
[tex]\sqrt{\frac{36}{81}}[/tex] ⇒ [tex]\frac{\sqrt{36}}{\sqrt{81}}[/tex] = [tex]\frac{6}{9} = \frac{2}{3}[/tex]
Q3.
[tex]\sqrt{\frac{121}{144}}[/tex] ⇒ [tex]\frac{\sqrt{121}}{\sqrt{144}} = \frac{11}{12}[/tex]
Q4.
[tex]\sqrt{\frac{64}{100}}[/tex] ⇒ [tex]\frac{\sqrt{64}}{\sqrt{100}} = \frac{8}{10} = \frac{4}{5}[/tex]
Q5.
[tex]\sqrt{\frac{4}{9}}[/tex] ⇒ [tex]\frac{\sqrt{4}}{\sqrt{9}} = \frac{2}{3}[/tex]
The height of males aged between 17 and 20 follows a normal distribution, with a mean of 71.1 inches and a standard deviation of 2.3 inches.
If the number of males between ages 17 and 20 is 11.0 million, how many males in this age group have heights between 69 inches and 73 inches?
A)3.6 million
B)4.1 million
C)6.8 million
D)9.7 million
Answer:
B
Step-by-step explanation:
Mark as Brainliest
Which fraction is equivalent to fraction with numerator 6 and denominator negative 8 ? (5 points)
fraction with numerator negative 8 and denominator 6
fraction with numerator negative 6 and denominator 8
fraction with numerator negative 6 and denominator negative 8
fraction with numerator 8 and denominator 6
Answer:
A fraction is a mathematical expression that represents the division of two numbers, called the numerator and the denominator. The numerator represents the number of parts being considered, while the denominator represents the number of parts in the whole. A fraction with a numerator of 6 and a denominator of negative 8 can be simplified to -3/4. To find an equivalent fraction, we can multiply or divide both the numerator and denominator by the same number without changing the value of the fraction. In this case, the fraction with a numerator of negative 8 and a denominator of 6 is equivalent to -4/3.
Step-by-step explanation:
Help please.
I've seen a bunch of different answers but none of them are the same.
The statement whether each data set is likely to be distributed nor not:
Number of minutes required to complete a marathon - Yes.
Number of miles in a marathon: - No.
Average age of a person who runs a marathon: No.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Let n miles in marathon.
To normally distribute, number of minutes required to complete a marathon:
The number of minutes required to complete a marathon is likely to be normally distributed with small amounts in tails (very slow, very fast) and large amount in middle.
So, yes.
To normally distribute, number of miles in a marathon:
The number of miles is a fixed number, not normally distributed.
So, no.
To normally distribute, average age of a person who runs a marathon:
The average age is a fixed number
Average age is not likely to be normally distributed.
So, no.
Therefore, the first one is yes, and the other two are no.
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6th grade math help me please and thank you... IF YOU PUT A LINK DO EXPECT TO GET REPORTED anyways.. have a good day my luvs <3
What are the steps I need to solve this problem?
2x + 5 = 21
subtract 5 from each side, then divide by 2 on each side
divide by 2 on each side, then subtract 5 from each side
subtract 5 from each side, then subtract 2 from each side
subtract 21 from each side, then divide by 2 on each side
MODELING REAL LIFE The volume of a sphere is given by the equation $V=\frac{1}{6\sqrt{\pi}}S^{3/2}$ , where $S$ is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter, that has a surface area of 60 square meters. Use 3.14 for $\pi$ .
The volume of the water walking ball is 43.71 m³
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r2. The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle
Given :
[tex]$V=\frac{1}{6\sqrt{\pi}}S^{3/2}$[/tex] and surface area of water walking ball is 60 m²
putting the values in the equation we get
V= 464.758/10.632
V=43.71
Hence, the volume of the water walking ball is 43.71 m³
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Andre and diego were each trying to solve 2x 6=3x-8 describe the first step they each make to the equation
The final answer after solving the given equation could be 14.
What is Linear Equation ?
Linear Equation can be defined as the equation in which the highest degree of the variable is one. Linear equations are generally three types , they are standard form , slope intercept form , point slope form and linear equation is also called as the equation of straight line.
Given,
Given equation,
2x + 6 = 3x -8
separating the value into a similar term:
2x-3x = -8 - 6
subtracting the equation:
-x = -14
remove negative sign:
x = 14
Therefore , the final answer could be 14.
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Help me please this is due in 10 minutes.
Answer:
Top left quadrant (Quadrant 2)
Step-by-step explanation:
If f(1)=1 f(2)=2 and f(n)=2f(n-1)+3f(n-2) then find the value of f(6).
Answer:
f(6) = 182
Step-by-step explanation:
f(1) = 1
f(2) = 2
f(3) = 2f(2) + 3f(1) = 2(2) + 3(1) = 4 + 3 = 7
f(4) = 2f(3) + 3f(2) = 2(7) + 3(2) = 14 + 6 = 20
f(5) = 2f(4) + 3f(3) = 2(20) + 3(7) = 40 + 21 = 61
f(6) = 2f(5) + 3f(4) = 2(61) + 3(20) = 122 + 60 = 182
Answer:
-486
Step-by-step explanation:
help me answer this question??
Part (i)
The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly
The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.
Exact answer: 36pi square meters
Approximate answer: 113.04 square meters (when using pi = 3.14)
=======================================================
Part (ii)
Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2
We end up with 144 - 36pi as the exact area of the red section
This approximates to 144 - 36*3.14 = 30.96 m^2
Exact answer: 144 - 36pi square meters
Approximate answer: 30.96 square meters (when using pi = 3.14)
What is the simplified form of this expression?
(-3x2 + 2x − 4) + (4x2 + 5x + 9)
7x2 + 7x + 5
x2 + 7x + 5
x2 + 7x + 13
x2 + 11x + 1
Answer:
x² + 7x + 5
Step-by-step explanation:
(- 3x² + 2x - 4) + (4x² + 5x + 9)
since both parenthesis are being multiplies by 1 , remove parenthesis
= - 3x² + 2x - 4 + 4x² + 5x + 9 ← collect like terms
= (- 3x² + 4x²) + (2x + 5x) + (- 4 + 9)
= x² + 7x + 5
Please answerrr. Ill give a branliest
Answer:
25 [tex]cm^{2}[/tex]
Step-by-step explanation:
The others are squares as well, meaning each of the sides are equal.
The square root of 144 is 12, meaning the side of the red square is 12.
169's square root is 13, meaning the hypotenuse of the center triangle is 13.
Now that we have a side and the hypotenuse, we can use Pythagorean theorem to find out the final side.
12^2 + x = 13^2
[tex]12^{2} + x^{2} =13^{2} \\144 + x^{2} = 169\\x^{2} = 25\\x = 5[/tex]
Now that we have the side, let's just square it to find the area.
[tex]5 * 5 = 25[/tex]
ok pls help pls pls pls if you care for the future generation you will me to improve the future
Answer:
G.
Step-by-step explanation:
$12 is the flat fee and it costs 25 dollars per hour to rent a kayak. x is the number of hours, so 25x+12=y, the total cost for renting the kayak
what if 5464x43214x-532
Answer:
-1.256165295×10×10×10×10×10×10×10×10×10×10×10
Step-by-step explanation:
negative changes everything
Can someone please help me with this?
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
How to solve the equation?Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the provided equations on a graph and locate the point(s) where they all cross to solve a problem by graphing. You may find the values of the variables you are working for by finding the location of this point.
The result of the first equation is
x + 6y = 25
we can easily solve for x by subtracting 6y from both sides we have
x + 6y - 6y = 25 - 6y
x - 25 - 6y
So, the first equation's x term can be simply solved.
When solving the following system of equations, the x in the first equation would be the easiest to solve for.
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use a table to organize your guesses
A jar is filled with 100 coins, all of which are nickels and dimes. The change in the jar is worth $6.75. How many coins are nickels, and how many are dimes?
Answer:
35 dimes and 65 nickels
Step-by-step explanation:
We will need use a system of equations to find the total number of nickels and dimes.
Because there are 100 dimes and there are only nickels and dimes, one equation is N + D = 100, where N is the total number of nickels and D is the total number of dimes.
Because a dime is worth $0.10, a nickel is worth $0.05, and the total change in the jar is worth $6.75, the second equation is 0.05N + 0.1D = 6.75
Substitution will be the easiest method to solve:
[tex]0.05N+0.1D=6.75\\N+D=100\\\\N=-D+100\\\\0.05(-D+100)+0.1D=6.75\\-0.05D+5+0.1D=6.75\\0.05D+5=6.75\\0.05D=1.75\\D=35\\\\N+35=100\\N=65[/tex]
NEED HELP ASAP, WILL GIVE BRAINLY TO BEST ANSWER
Answer:
58 degrees
Step-by-step explanation:
The answer is 58 degrees.
180 degrees in a triangle, subtract the angles of 65 and 57, you get 58 degrees.
180 - 57 -65 = 58
Maisie walked for 4 hours at an average speed of
1.6 miles per hour (mph).
How many miles did Maisie walk?
If your answer is a decimal, give it to 1 d.p.
Answer: Maisie walked 6.4 miles.
Step-by-step explanation:
Since Maisie is walking at a constant pace of 1.6 miles per hour we can set up the following equation:
y = 1.6(x)
In this equation, Y is the number of miles Maisie walked in total and X is the number of hours she walked. All we have to do is plug in 4 hours as x and solve.
y = 1.6(4)
y = 6.4 miles.
As n ranges over the positive integers, what is the maximum possible value for the greatest common divisor of 11n 3 and 2n 1
The maximum possible value for the greatest common divisor (GCD) of 11n + 3 and 2n + 1 as n ranges over the positive integers is 1.
The GCD of two integers is the largest integer that divides both integers without leaving a remainder. We can use the Euclidean algorithm to find the GCD of two numbers.
The Euclidean algorithm states that for two integers a and b, we can find the GCD of a and b by repeatedly applying the following steps:
Divide a by b to get a quotient q and a remainder r
Replace a with b and b with r
Repeat the process until r is 0
If we apply this algorithm to 11n + 3 and 2n + 1, we get the following:
GCD(11n+3, 2n+1)
As 11n + 3 = 3(2n + 1) + 5n
= GCD(2n+1, 5n )
As 2n + 1 = (2/5)(5n) + 1
= GCD(5n, 1)
= GCD(1, 0)
= 1
So as n ranges over the positive integers, the maximum possible value for the GCD of 11n + 3 and 2n + 1 is 1.
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which expression is equivalent to 36a-12b 4(6a-9b) 4(8a3b) 4(9a+3b) 4(9a-3b)
Answer:
d). 4(9a - 3b)
Step-by-step explanation:
a). 4(6a-9b)
= 24a - 36b
b). 4(8a-3b)
= 32a - 12b
c). 4(9a+3b)
= 36a + 12b
d). 4(9a - 3b)
= 36a - 12b
A college biology lab selected 65 women and 65 men at random and recorded their body temperatures (in degrees Fahrenheit). The distributions of their temperatures are shown below.Which statement gives an accurate comparison of the body temperatures of women and men shown?
Question 5 options:
1.)The mean body temperature for women is less than for men and women's temperatures vary more than men's temperatures.
2.)The mean body temperature for women is greater than for men and women's temperatures vary less than men's temperatures.
3.)The mean body temperature for women is less than for men and women's temperatures vary less than men's temperatures.
4.)The mean body temperature for women is greater than for men and women's temperatures vary more than men's temperatures.
Answer: Choice 2
Step-by-step explanation:
Which expression is negative?
Answer:
B
Step-by-step explanation:
since the value is above 1 and your subtracting 1 to drop the value below the 0 point below making it negative.
Someone help please, picture attached
Answer:
6
Step-by-step explanation:
x² + 8² = 10²
x² + 64 = 100
x² = 36
x = 6
Solve for x please I need help
Answer: picture wont seem to load, maybe try again
Step-by-step explanation:
Answer:
x = 7.9
Step-by-step explanation:
Sin = Opposite over Hypotenuse
Thus, [tex]sin(21)=\frac{x}{22}[/tex]
* multiply each side by 22 *
[tex]\frac{x}{22} *22=x\\22sin(21)=7.9[/tex]
we're left with x = 7.9 ( rounded )
help lol, will mark brainlest
a=11
Hope this Helped! :T
: ) thank you for your help , 30 points
'The leangth of the shortcut is: '
guessing- '75'
Hope this helps!
What is Y 1 on a graph?
The graph of y is a straight line parallel to the x−axis through the point (0,1)
Now, According to the question:
Let's know:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The equation is Y = 1
A straight line in slope (m) and intercept (c) form is:
y = mx + c
y is a straight line of slope 0 and y- intercept of 1
y = 0.x + 1
y = 1
Hence, the graph of y is a straight line parallel to the x−axis through the point (0,1)
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The radius of a circle is 4 kilometers. What is the circumference?
Answer:
25.12 kilometers
Step-by-step explanation:
[tex]c = 2\pi \: r[/tex]
C = 2 × 3.14 × 4
C = 25.12
Question 2 of 15
Select the table that represents a linear function (Graph them if necessary)
OA
0123
1437
8 x 0
-
012
#2
203
23
24816
2
m
19
1125
SHOW YOUR WORK 256 divided by 6400