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2 years ago

Can someone please help? I need to get this doe so I can do something important

Mathematics

1 answer:

BigorU [14]2 years ago

8 0

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? answer: B) 354,294

slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

$a_4=54$ and $a_7=1458$

To find $a_{12}:$

The given sequence is a geometric sequence.

The general term of the geometric sequence is $a_n=a_1\ r^{n-1}$ .

If we have 2 terms of a geometric sequence $a_n$ and $a_k$ (n > K),

then we can write the general term as $a_n=a_k\ r^{n-k}$ .

Here we have $a_4=54$ and $a_7=1458$ .

So, n = 7 and k = 4 ( 7 > 4)

$a_7=a_4\ .\ r^{7-4}$

$1458=54\ . \ r^3$

This can be written as

$$r^3=\frac{1458}{54}$

$$r^3=27$

$$r^3=3^3$

Taking cube root on both sides of the equation, we get

r = 3

$a_{12}=a_7\ .\ r^{12-7}$

$=1458\ .\ r^5$

$=1458\ .\ 3^5$

$a_{12}=354294$

Hence the 12th term of the geometric sequence is 354294.

7 0

3 years ago

A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eye

Kazeer [188]

<h2>☀️ Solution:</h2>

We all know that,

All animals have 2 eyes.
All cows have 4 feet
All hens have 2 feet

So, Let the no. of cows be x and chickens be y

According to question,

Total number of eyes = 162

Framing equation,

⇛ Eyes of cows + Eyes of chickens = 162

⇛ 2x + 2y = 162

⇛ 2(x + y) = 162

⇛ x + y = 162/2 = 81 -----------(1)

According to question(Cond.-1)

Total number of feet = 270

Framing equation,

⇛ Feet of cows + Feet of chickens = 270

⇛ 4x + 2y = 270

⇛ 2(2x + y) = 270

⇛ 2x + y = 135 ----------(2)

Subtracting eq.(1) from eq.(2),

⇛ 2x + y - (x + y) = 135 - 81

⇛ 2x + y - x - y = 54

⇛ x = 54

Putting value of x in eq.(1),

⇛ 54 + y = 81

⇛ y = 81 - 54

⇛ y = 27

⚘ So, Total number of animals,

Number of cows = x = 54
Number of chickens = y = 27

Hence, solved ! $!$

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8 0

4 years ago

If a plan can travel 470 miles per hour with the wind and 430 miles per hour against the wind find the speed of the wind and the

hjlf

470-390=80
80/2=40
The wind is 40 mph
What does find the speed of the wind in still air mean? The wind is not still air!

Do you mean find the speed of the wind or find the speed of the plane in still air? Try reading your post before clicking submit.
470-40=430
390+40=430
The plane in still air goes 430 mph

6 0

3 years ago

Read 2 more answers

Solve the system using substitution.

Alexeev081 [22]

Answer:

Option B that is (2,6) is correct

Explanation:

We have been given with system of equations

$X+Y=8$ and $Y=3X$