3. Kevin weighs 57 kilograms (kg) and his father weighs 85 kg. How much less

What’s the 5th term is 2,14,98

iragen [17]

$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3>Correct Question :-</h3>

What is the 5th term of an AP 2 , 14 ....98 .

<h3>Given :- </h3>

We have AP, 

$\sf{ 2 , 14 ,.... 98 }$
AP is the arithmetic progression or a sequence of numbers in which succeeding number is differ from preceeding number by a common value.

<h3>Solution :-</h3>

We have an AP :- 2 , 14 .....98

Therefore,

$\sf{a1\: or \:1st\: term = 2 }$
$\sf{a2 \:or \:2nd\: term = 14 }$
$\sf{an \:or\: last\: term = 98}$

Here,

Common difference of an AP

$\sf{ a2 - a1 }$

$\sf{ = 14 - 2}$

$\sf{ = 12}$

Thus, The common difference is 12

Now, 

We know that,

$\sf{an = a1 + ( n - 1 )d}$

$\sf{a5 = 2 + ( 5 - 1 )12}$

$\sf{a5 = 2 + 4 × 12}$

$\sf{a5 = 2 + 48}$

$\sf{\red{a5 = 50}}$

Hence, The 5th term of given AP is 50

4 0

2 years ago

Stephen and Diana are traveling towards each other from points that are 276 miles apart. If Diana is traveling 4 mph faster than

Allisa [31]

Answer:

Step-by-step explanation:

let speed of Stephen=x mph

speed of Diana=x+4

then

6x+6(x+4)=276

divide by 6

x+x+4=276/6=46

2x=46-4=42

x=42/2=21

Stephen is traveling at 21 mph.

Diana is traveling at 21+4=25 mph.

6 0

2 years ago

If f(x)= 15x+7x and g(x)= x^2-5x, find (f+g)(x)

cupoosta [38]

Answer:

(f+g)(x) = x^2 +10x +7

Step-by-step explanation:

(f+g)(x) = f(x) +g(x) = (15x +7) +(x^2 -5x)

= x^2 +x(15 -5) +7

= x^2 +10x +7

7 0

3 years ago

The graph of which function passes through (0,4) and has a minimum value at (StartFraction 3 pi Over 2 EndFraction, 3)? f (x) =

solniwko [45]

Answer:

f(x) = sin(x) + 4 Let me know if you don't see why.

Step-by-step explanation:

As much as I hate it I think it might be best to check each one.

sin(x) has a point at (0,0) so that's not right.

sin(x)+4 has (0,4) as a point and a minimum at (3*pi/2+2*pi*n,3) where n is some integer. if we have n = 0 then it becomes (3*pi/2, 3) So that looks like our answer.

cos(x) + 3 has a point at (0,4) then minimums at (pi+2*pi*n, 2) the y coordinate is wrong so this won't work

-3sin(x) has a point at (0,0) so that's wrong

4cos(x) has a point at (0,4) then minimums at (pi+2*pi*n, -4) which again has the wrong y value so this is wrong.

Let me know if you don't understand how I got the results I did, I would be happy to explain.

7 0

2 years ago

Read 2 more answers

Is the product of 2/5 and 5 greater or less than 2/5? Is it greater or less than 5? explain your reasoning.

Katyanochek1 [597]

Hello!

5 = 5/1 as a fraction

2/5 × 5/1 = 2

ANSWER:

The product of 2/5 and 5 is greater than 2/5, and less than 5.

Another way you could find out if it's greater or less is by converting the fraction to a decimal and then multiplying it.
You must divide the numerator by the denominator to convert a fraction to a decimal.

2 ÷ 5 = 0.4

0.4 × 5 = 2

8 0

3 years ago