prove that , a⁴+=47
[tex] \frac{1}{a 4} [/tex]
​

Answer:

number of terms=9

Step-by-step explanation:

[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]

as number of terms can't be negative.

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9

Answer:

V≈1099.56cm³

Solution:

V=πr2h=π·52·14≈1099.55743cm³

Answer:

=4b^2−b+1

Step-by-step explanation:

4b2+−2b+7b+−6b+1

4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)

=4b^2−b+1

4b²−2b+7b−6b+1

first combine light terms.

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

light terms equal:

[tex] - 2b + 7b - 6b[/tex]

let's solve:

[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]

[tex] = { 4b}^{2} - b + 1[/tex]

Answer:

800

Step-by-step explanation: 75 x 8

Answer:

there are 900 boys in the school

15/100*1500

Answer:

18+6=24

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

the equation of the graph will be y = f(x).

f(0) means the the value of y when x = 0, which is 1

or you can view it as where does the graph cuts the y-axis (x=0).

The value of the function g(h(10)) will be 2√2.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that g(x) is √(x-4) and h(x) is 2x - 8. The value of the function g(h(10)) will be calculated as:-

h(x) = 2x - 8

At x = 10 the value of the function h(x) will be:-

h(10) = ( 2 x 10 ) - 8

h(10) = 20 - 8

h(10 ) = 12

Calculate the value of the function g(h(10)):-

g(h(10)) = √(x-4)

g(h(10)) = √(h(10)-4)

g(h(10)) = √( 12 -4 )

g(h(10)) = √( 8 )

g(h(10)) =  2√2.

Therefore, the value of the function g(h(10)) will be 2√2.

To know more about functions follow

https://brainly.com/question/27918659

#SPJ2

Answer:

1. 279,936

2. 727

4. 4,096

Answer:

RT is an altitude of GRS

Step-by-step explanation:

An altitude is an angle that shoots through the tip of a triangle. RT and QRS share that.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct statement is :

Answer:

using the formula x/a + y/b =1

a: slope intercept on the x axis

b:slope intersect on the y axis

x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)

Answer:

edchnailedhaefihw

Step-by-step explanation:

ueswufia72826382q 8r20224

Answer:

-2.5 :3

Degrees Farenheit!

Step-by-step explanation:

k12

hope this helped!

Please give me the crown.

~Happy Helper~

Based on the temperature change and the amount of time it did so, the average change in temperature per hour is -3.5°F.

The average change in temperature per hour can be found by:

= Temperature change / Number of hours

Solving would give:

= -23.8 / 6.8

= -3.5°F

We can therefore conclude that in every hour of this cold day, the temperature changed by an average of -3.5°F.

Find out more at https://brainly.com/question/17569569.

Answer:

Liz should shop at the store with the item with a reasoning price in other words the one that costs less.

Step-by-step explanation:

You didn't give the stores prices but that would be what I would think.

Answer:383.4

Step-by-step explanation:

Answer:

383.425351275

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

3x + 14 = 59

subtract 14 from both sides

3x = 45

divide both sides by 3

x = 15

Answer:

15

Step-by-step explanation

Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15

Answer:

x = 6

∠PQR = 29

Step-by-step explanation:

Sum of interior angles in a triangle is 180,

15x - 4 + 4x + 5 + 65 = 180

15x + 4x + 5 - 4 + 65 = 180

19x + 1 + 65 = 180

19x + 66 = 180

19x = 180 - 66

19x = 114

x = 114 / 19

x = 6

∠PQR = 4x + 5

Substitute x = 6,

∠PQR = 4 ( 6 ) + 5

          = 24 + 5

∠PQR = 29

Answer:

Ewan

Step-by-step explanation:

ewan ko na po sorry po at

kasi hindi kopo maintindihan

tapus hindi naman po ako

magaling

Answer:

c. how late it is in the evening is a function of the length of time the shutter needs to stay open.

Answer:

I think the answer is letter B. The length of time the shutter needs to stay open is a function of how strong her flash is.

Answer:

49 all you have to do is add 10 to 39

Answer:

2.5 lbs = 40 Ounces

Step-by-step explanation:

Conversion factor: 1 lb = 16 oz

1) Ounce = Pound * 16

2) Ounce = 2.5 * 16

3) Ounce = 40

Answer: x =-9/5

Step-by-step explanation:

9.33 +

0.66

9.99

It snowed 9.99 inches on Monday and Tuesday combined

Answer: 2

Step-by-step explanation: Thank you

Answer:

The answer is 2