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Alisiya [41]
3 years ago
8

PLEASEEEEEE HELPPPPPPPP

Mathematics
1 answer:
Natali5045456 [20]3 years ago
8 0
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:

S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
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A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
Genrish500 [490]

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

<u>Required equation:</u>

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

7 0
2 years ago
19,432÷x=48 Remainder 232 (Plz help its for my hw that's due tmrw)
Neko [114]

Answer:

x = 404.83

Step-by-step explanation:

The given expression is :

19,432÷x=48 ...(1)

We need to find the value of x.

\dfrac{19,432}{x}=48

Cross multiplying both sides,

19,432=48x

Dividing both sides by 48

\dfrac{19,432}{48}=x\\\\x=404.83

So, the value of x is 404.83.

4 0
2 years ago
Read 2 more answers
A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm
MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x\geq25.8  upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em>\frac{1}{b-a}<em>   </em>a\leq x\leq b

            =1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)=\frac{x-a}{b-a} =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0
2 years ago
3 points
garri49 [273]

Answer:

j=8

Step-by-step explanation:

30-6=24 divived by 3 = 8 which means jordans age is 8 and matthew is 16

5 0
2 years ago
2x - 1 1/2 = 31<br><br> solve the equation for the variable
defon

Answer:

x=16 1/4

Step-by-step explanation:

is that a 11/2 or a 1 1/2? the answer i put was for 1 1/2

8 0
2 years ago
Read 2 more answers
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