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klemol [59]
3 years ago
10

Could someone answer and explain these please? Thank you!

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


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I think number 9 is b or c, i don't know what 10 is. please help me!!!
scoray [572]
10 is letter b. I hope this helps!!!
7 0
3 years ago
Solve the inequality -6(1+2x)≥6(2x-1)+2x
UkoKoshka [18]

Answer:

x≤0

Step-by-step explanation:

7 0
3 years ago
HELP ME OUT PLEASE! ILL GIVE YOU 16 POINTS
WINSTONCH [101]

1.y-4.90 = 2.4(x-1) 2. 24x-10y= -25

Step-by-step explanation:

The point-slope form of an equation is written as ;

y-y₁ = m(x-x₁) where the focus is on the slope of the line and a point on the line.

In this case, y-4.90 = 2.4(x-1)

The standard form an equation is written as :

Ax+By=C ,where x and y are variables and A,B and C are integers.

In this case; 24x-10y= -25

Learn More

Point-slope intercept form of an equation; brainly.com/question/11016508

Keywords :point-slope, standard form, equation

#LearnwithBrainly

8 0
3 years ago
A 40-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain
daser333 [38]

Answer:

a) W₁ = 78400 [J]

b)Wt = 82320 [J]  

Step-by-step explanation:

a) W = ∫ f*dl      general expression for work

If we have a chain with density of 10 Kg/m, distributed weight would be

9.8 m/s² * 10 kg   = mg

Total length of th chain is 40 m, and the function of y at any time is

f(y) = (40 - y ) mg   where ( 40 - y ) is te length of chain to be winded

At the beggining we have to wind 40 meters   y = 0 at the end of the proccess  y = 40 and there is nothing to wind then:

f(y) = mg* (40 - y )

W₁ =  ∫f(y) * dy    ⇒ W₁ = ∫₀⁴⁰ mg* (40 - y ) dy  ⇒ W₁ = mg [ ∫₀⁴⁰ 40dy - ∫₀⁴⁰ ydy

W₁ = mg [ 40*y |₀⁴⁰   -  1/2 * y²  |₀⁴⁰    ⇒  W₁ = mg* [ 40*40 - 1/2 (40)² ]

W₁ = mg * [1/2]     W₁ = 10*9,8* ( 800 )

W₁ = 78400 [J]

b) Now we can calculate work to do if we have a 25 block and the chain is weightless

W₂ = ∫ mg* dy     ⇒    W₂  = ∫₀⁴⁰ mg*dy   ⇒    W₂  = mg y |₀⁴⁰

W₂ = mg* 40   = 10*9.8* 40  

W₂ = 3920 [J]

Total work

Wt = W₁  +  W₂        ⇒    Wt = 78400 + 3920

Wt = 82320 [J]

6 0
3 years ago
NEED ANSWER ASAP:
andriy [413]

Answer:

14/27 feet

Step-by-step explanation:

2 1/3 feet : 4 1/2 feet

= 7/3 : 9/2

= 7/3 ÷ 9/2

= 7/3 × 2/9

= (7*2)/(3*9)

= 14/27 feet

2 1/3 feet : 4 1/2 feet = 14/27 feet

8 0
3 years ago
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