Answer:
3 km/hStep-by-step explanation:
Let the speed of raft (current) - rSpeed of motorboat - 12 km/hThe distance between villages - 44 kmLet the time spent by Aniskin - tThe time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + tThe distance the thief traveled = 44 - 27 = 17 kmWe have following equations:
r(8/3 + t) = 17(12 - r)t = 27Simplify the equations:
r(8/3 + t) = 17 ⇒ rt + 8/3r = 17(12 - r)t = 27 ⇒ 12t - rt = 27Add up the equations and solve for r:
rt + 8/3r + 12t - rt = 448/3r + 12t = 44r = 16.5 - 4.5tSubstitute r into second equation:
(12 - 16.5 + 4.5t)t = 274.5t² - 4.5t = 279t² - 9t - 54 = 0Solving we get
t = 3 hFind r:
r = 16.5 - 4.5*3 = 3 km/hAnswer:
Step-by-step explanation:
1. If tn =3n - 2, the value of S5 is:
(a) 35
(b) 40
(c) 45
(d) 30
If tn = 2n? + 3n, the value of Sais:
(a) 90
(b) 70
(C) 80
(d) None of these
Answer:
1) if tₙ = 3*n - 2, we want to find the value of S(5), which is the sum of the first 5 terms.
We can simply compute the sum directly, it is:
S(5) = t₁ + t₂ + t₃ + t₄ + t₅
S(5) = (3*1 - 2) + (3*2 - 2) + (3*3 - 2) + (3*4 - 2) + (3*5 - 2)
S(5) = 35
Then the correct option here is a).
2) This is not correctly written.
I will assume that we the n-th term is:
tₙ = n^2 + 3*n
And we want S(5) again
Then:
S(5) = t₁ + t₂ + t₃ + t₄ + t₅
S(5) = (1^2 + 3*1) + (2^2 + 3*2) + (3^2 + 3*3) + (4^2 + 3*4) + (5^2 + 3*5)
S(5) = 100
So the correct option is (d)
(Notice that if we had chosen any other S(n), the answer is still option (d) )
Use the vertical-line test to determine whether each relation is a function
Answer:
a) No
b) Yes
Step-by-step explanation:
Move your finger (or pencil) from left to write over the graph. It shouldn’t cover two points at the same time.
In other words, each x-value should not have more than one y-value. So...
a) No - not a function
b) Yes - a function
Find the HIGHEST Common
and lowest common multple
of 36 and 48 using
prime factors
Answer:
Step-by-step explanation:
Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 48. First we will calculate the prime factors of 36 and 48.
Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 22 × 32
Prime Factorization of 48
Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:
48 = 24 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 48.
LCM(36,48) = 24 × 32
LCM(36,48) = 144
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Factors of 48
List of positive integer factors of 48 that divides 36 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24
Greatest Common Factor Number
We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 48 is 12.
Answer:
the least is 144 the highest is 12
Step-by-step explanation:
PLSSS I NEED HELP—
Which expression is equivalent to -12y + 36
Answer:
3(−4y+1)
Step-by-step explanation:
Factor −12y+3
−12y+3
=3(−4y+1)
What is the greatest common factor of 24 and 6?
A. 6
B. 4
C. 2
D. 3
PLZ HELP ASAP
These box plots show the basketball scores for two teams.
A. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O B. Both distributions are symmetric.
C. Both distributions are negatively skewed.
D. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.
Answer: Its A
Step-by-step explanation:
have a great day!
The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric , Option A is the correct answer.
What is a Box Plot ?Box plot is a systematic way of distribution of data in a five number summary , minimum, first quartile , median, third quartile , and maximum .
The box plot is said positive skewed when the mean of the plot is greater than the median and the mean is more towards the lower quartile.
The box plot is said positive skewed when the mean of the plot is less than the median and median is towards the upper quartile.
In the box plot given it can be seen that the Panther's have a symmetrical box plot while , The Wolverines' distribution is negatively skewed .
Therefore , Option A is the correct answer.
To know more about Box Plot
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need help pls will mark brainliest
Answer:
y = (2/7)x - 7
Step-by-step explanation:
Find the volume of the prism below.
Answer:
1920 yd³
Step-by-step explanation:
Answer:
1920
Step-by-step explanation:
B x W x H x 1/2(Since triangle and not cubed)
Which expression is equivalent to 16 + 2 ⋅ 36?
math quick i need help hurry 15 points :)
Answer:
B
Step-by-step explanation:
I don't know how to explain it but
10/2=5 (Driver A)
20/2= 10 (Driver B)
Sorry if it's not right
There are 224 gallons of water in 16 tanks.
Find the number of gallons of water per tank
Answer:
14 gallons
Step-by-step explanation:
224/16 = 14
Answer:
The answer is B.
Step-by-step explanation:
A park is rectangular with a length of 23 miles. If the area of the park is 39 square miles, what is its width? Input your answer as a fraction.
what is the value of x ?
Answer:
the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.
Answer:
It is 65, B
Step-by-step explanation: because 180-115=65 tell me if you dont get it
PLEASE HELP ME EVERYONE HAS GOTTEN THIS WRONG ITS GONNA SUBMIT IN 15 MIN PLS HELP THANK YOU
Answer:
x = 8.66
Step-by-step explanation:
Apply pythagorean theorem to find the value of x.
Thus:
x² = 14² - 11²
x² = 75
x = √75
x = 8.66025404
x = 8.66 (nearest hundredth)
Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as V (t) = 30(1.05), where t is the time, in years, since opening the account.
To the nearest cent, what is the average rate of change in the value of the account for the first 3 years?
A
$0.63/year
1.
B
$1.58/year
le:
wi...
m
my
b...
С
$3.15/year
D
$4.73/year
Answer:
Step-by-step explanation:
The average rate of change in the value of the account for the first 3 years
is $1.58.
What is an exponential function?When the independent variable is in the power of some function we call them an exponential function, For example, [tex]e^x[/tex] is an exponential function.
Given, The value of the account, in dollars, can be modeled as
[tex]V(t) = 30(1.05)^t[/tex].
Now at t = 3 or after 3 years, it is [tex]V(t) = 30(1.05)^3[/tex].
V(3) = $34.73 and he initially deposited $30.
So, The average rate of change is $(34.73 - 30)/3 = $(4.73)/3 = $1.58.
learn more about exponential function here :
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Simplify
(7x^2 - 11 + 16x) + (5x - 3x^2 - 7)
Answer:
4x^2 + 21x -18
Answer:
4x^2 + 21x -18Hope it helps ❤️
Find the slope of line y = -3x + 2
Answer:
-3
Step-by-step explanation:
Nara wants to determine how much ice it will take to fill her cooler that is in the shape of a rectangular prism. If the cooler has a length of 22 inches, a width of 12 inches, and a height of 1012 inches, how much ice will her cooler hold?
Answer:
69344 is the area but I don't know how large the ice is so I can not tell you how much ice. Is there any more to the question?
Step-by-step explanation:
So sorry but the volume is V≈2.67×105
Plz help! Pretty easy problems!
Answer:
The first is 9 sq.units
The second is 8 sq units
The third is 180mm squared
Step-by-step explanation:
Each student in Mrs. Knott's class is making a miniature kite. The teacher needs to know how much fabric will be needed to cover the front of each kite. Find the area of the kite. BD = 16 inches, BE 8 inches, CE = 15 inches, and AE = 6 inches
1. Los estudiantes de primer grado de la IE Miguel Grau son 184, si la relación entre los que usan anteojos y los que no usan es de 3/5. ¿Cuántos estudiantes usan anteojos?
Answer:
69 estudiantes.
Step-by-step explanation:
Sabemos que el número total de estudiantes en primer grado es 184.
También sabemos que la relación entre los que usan anteojos y los que no es 3/5.
Esta relación es igual al cociente entre el número de estudiantes que usan anteojos y el número de estudiantes que no usan anteojos.
Si definimos las variables:
A = número de estudiantes que usa anteojos
B = número de estudiantes que no usa anteojos.
Tenemos la relación:
A/B = 3/5
podemos reescribir como:
A = (3/5)*B
Y también sabemos que el número total de estudiantes es 184, entonces tendríamos que:
A + B = 184.
Podemos aislar B en esta segunda ecuación para luego reemplazarlo en la primera.
Aislando B obtenemos:
B = 184 - A
Si reemplazamos esto en la otra ecuación obtenemos:
A = (3/5)*B
A = (3/5)*(184 - A)
Ahora podemos resolver esto para A.
A = (3/5)*184 - (3/5)*A
A + (3/5)*A = (3/5)*184
A*(1 + 3/5) = (3/5)*184
A*(5/5 + 3/5) = (3/5)*184
A*(8/5) = (3/5)*184
A = (5/8)*(3/5)*184
A = 69
Podemos concluir que 69 estudiantes usan anteojos.
what’s the missing side length help please
Answer:
10
Step-by-step explanation:
[tex]a^2 + 576 = 676[/tex]
subtract 676 by 576
=100
[tex]\sqrt{100}[/tex] = 10
Answer:
i think its 7 im not sure
Step-by-step explanation:
On Tuesday morning Cody went to the gym and worked out for 1 3/5 hours
(6 multiply 5)+(10 subtract 3)=
Answer:
37
Step-by-step explanation:
(6 × 5) + (10 - 3)
30 + 7
37
Multiplying Monomials and Binomials
The dimensions of a rectangle
are x + 3 and x + 2. Which
expression represents the
area of the rectangle?
a) x2 + 6
b) x2 + 5x + 6
c) x² +6x + 6
d) x² + 6x
Answer:
A) x2+6
Step-by-step explanation:
Work out m and c for the line:
y = x + 6
Step-by-step explanation:
Given equation
y = x + 6
Comparing the given equation with y = mx + c so
slope (m) = 1
y-intercept (c) = 6
Hope it will help :)❤
Mr.Chamberlain is planning a field trip for his math classes to visit a museum.It costs $300 to rent the bus, then $7.50 per student for entry to the museum Mr. Chamberlain only has a budget of $1,000 from the school. Which equality below represents the number of students he can bring on the trip?
Answer:
Equation - $1000=$300+$7.50x
Answer - Mr. Chamberlain can included 93 Student Entries
Step-by-step explanation:
$1000 (budget)
$300 (cost to rent bus)
$7.50 (cost of each student entry)
$1000-$300= $700
Now we have found out that Mr. Chamberlain has $700 left to spend on student entries.
$700/$7.50 = 93.333
Round 93.333 down to 93 because you can't have 1/3 of a student (obviously)
93 = the max number of student entries that Mr. Chamberlain can have for the museum field trip
I hope this helps :)
3. Write an equation of a line with a slope of
-2 and that passes through the point (-7,13).
Answer:
y= -2+13
Step-by-step explanation:
You're Welcome - BigThiccDaddy21
Use the original price and the markdown to find the retail price. Original price: $30; Markdown:24%
Answer:
$22.80
Step-by-step explanation:
(05.06)Which net matches the solid figure shown below?
8 cm
3 cm
6 cm
Answer:
Can you upload a picture?
Step-by-step explanation: