Mathematics High School

What is the 8th term in the sequence?


an=25−3n


Enter your answer in the box.

Answers

Answer 1
The 8th term is of the sequence is1.
Answer 2
Answer:

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Step-by-step explanation:

We are defined the nth term in the sequence with the help of the relation or expression as:

[tex]a_n=25-3n-------(1)[/tex]

We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.

so, we will put n=8 in the given expression (1).

[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Related Questions

Simplify 2(x - 4) + 7(x + 2).

9x - 6
9x - 4
9x + 6

Answers

2(x - 4) + 7(x + 2)
= 2x - 8 + 7x + 14
= 9x + 6

answer
9x + 6
With this question you will distribute and add. You want to do this from left to right.

2*x = 2x
2*-4 = -8

Now the equation is (2x-8)+7(x+2). This is where you distribute again.
7*x = 7x
7*2 = 14

The equation is now (2x-8)+(7x+14) which can also be rewritten to be 2x - 8 + 7x + 14. Here you combine like terms through adding.
2x + 7x = 9x
14 - 8 = 6

Remember to always keep the sign of the number when adding. This means your answer would be 9x+6 or 6+9x.

Give the value of x that makes this equation true.

(3)(-4)(x) = (3)(-4)

0
4
1
-3

Answers

the answer is C because 1 changes nothing

How to turn a repeating decimal into a fraction 0.1515?

Answers

take the first 2 numbers and put them over 99

so 0.151515 would become 15/99

You would take the first two numbers of the decimals .15 and move the decimal place two places to the left making it 15. Then to make it a fraction is would be 15/100.

Given that x is a positive number, Niram conjectured that x3>x2 .

What value is a counterexample to Niram's conjecture?

​ −5 ​

110

1

5

Answers

The answer is 1 for those wondering.

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

Answers

The answers are:
__________________________
    [B]:  "√12 " ;   AND:
__________________________
    [D]:  "√20" .
__________________________
Note:  "Irrational numbers" have decimals that are:  1) non-terminating;  AND:  2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A)  "√9"  =  3 .  Rule out this choice.
__________________________________
Choice C)  "√16" = 4 .  Rule out this choice.
__________________________________
Choice E)  "√25" = 5.   Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
    [B]:  "√12"  ;  and:  [D]:  "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer.   However, let us explore these two choices, using a calculator.
____________________________
    [B]:  "√12"  =  3.4641016151377546

    [D]:  "√20"  =  4.4721359549995794
_________________________________
These two answer choices should the correct answers.

What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.

Answers

we know that

The equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

we have

[tex]2x+3y=6[/tex]

Isolate the variable y

[tex]3y=-2x+6[/tex]

[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]

[tex]y=-\frac{2}{3}x+2[/tex]

the slope is [tex]m=-\frac{2}{3}[/tex]

the y-intercept is [tex]b=2[/tex]

the answer in the attached figure

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

A linear equation is given by:

y = mx + b;

Where y,x are variables, m is the slope of the line and b is the y intercept.

Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:

2x + 3y = 6

3y = -2x + 6

Dividing through by 3:

y = (-2/3)x + 2

The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2

Find out more at: https://brainly.com/question/18672496

A ray that contains a point that is equidistant from both sides of the angle. *

Answers

Consider a angle â BAC and the point D on its defector Assume that DB is perpendicular to AB and DC is perpendicular to AC. Lets prove DB and DC are congruent (that is point D is equidistant from sides of an angle â BAC Proof Consider triangles ΔADB and ΔADC Both are right angle, â ABD= â ACD=90 degree They have congruent acute angle â BAD and â CAD( since AD is angle bisector) They share hypotenuse AD therefore these right angle are congruent by two angle and sides and, therefore, their sides DB and DC are congruent too, as luing across congruent angles

4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each side of the window? A. 12 inches B. 6 inches C. 8 inches D. 10 inches

Answers

I think the answer is C

Thursday is 3 days before 2 days before today. what was yesterday?

Answers



Thursday is 3 days before 2 days before today.
So Thursday  was 5 days ago..
5 days after Thursday is tuesday 
If today is  tuesday  tomorrow is wednesday

"Thursday is 3 days before 2 days before today. "

This means Thursday is 5 days before Today.

So, what is 5 days after Thursday?

It is Tuesday [which is Today].


If today is Tuesday, what was yesterday? It was Monday.


ANSWER: Monday

At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item

Answers

The full explanation can be found on my page because I've answered this exact question before, but the individual cost is $9.

A triangle has sides of length 5 cm and 11 cm. What can you say about the length of the third​ side?

Answers

Final answer:

The length of the third side of the triangle must be greater than 6 cm and less than 16 cm, as per the triangle inequality theorem.

Explanation:

According to the triangle inequality theorem, the length of any side of a triangle must be less than the sum of the other two sides and greater than the difference between them. Therefore, the third side of a triangle with sides of length 5 cm and 11 cm must be longer than 6 cm (11 cm - 5 cm) and shorter than 16 cm (11 cm + 5 cm). To clarify, for any triangle with sides a, b, and c, where c is the longest side, the following must always be true: a + b > c and |a - b| < c.

What is the value of x

Answers

Hello there!

This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.

How do we find the missing angles?

The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.

We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.

Well, all we have to do is follow the rules.

They say we need to add all the angles together.

40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70

The correct answer is 70.
----------------------------------

Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180


I hope this helps!

The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?

Answers

9/40=0.225 0.225*120(for 2 hours) =27

2Hr=120min 120/40=3 9*3=27

they can wash 27 cars in 2 hours

Find the point on the line y = 92x closest to the point (1, 0)

Answers

Let the point on the line y = 92x closest to the point (1, 0) be (x, 92x), then the distance between point (1, 0) and (x, 92x) is given by:

[tex]L=\sqrt{(x-1)^2+(92x-0)^2} \\ \\ =\sqrt{x^2-2x+1+8464x^2}=\sqrt{8465x^2-2x+1}[/tex]

For shortest distance,

[tex] \frac{dL}{dx} =0[/tex]

[tex] \frac{dL}{dx} =0 \\ \\ \Rightarrow \frac{16930x-2}{2\sqrt{8465x^2-2x+1}} =0 \\ \\ \Rightarrow16930x=2 \\ \\ \Rightarrow x= \frac{1}{8465} [/tex]

and [tex]y=92\left(\frac{1}{8465}\right)=\frac{92}{8465}[/tex]

Therefore, the required point is [tex]\left(\frac{1}{8465},\ \frac{92}{8465}\right)[/tex]

4 gallons of paint cover 1,400 square feet. How much does 7 gallons of paint cover? (Solve with Porportion)

Answers

1400 divided by 4 equals 350.
Multiply that by 7
350 times 7 equals (2,450)
2450 sq ft is the answer

Select the property that allows the statement 10 = y to be written y = 10. Commutative - additionDistributive Associative - multiplication Symmetric Commutative - multiplication Associative - additionIdentity - addition

Answers

Hi dear........
The answer is Commutative
because according to this property
a=b
b=a

if the length of the rectangle is twice the width and the perimeter of the rectangle is 30 centimeters what is the length of the current width of the rectangle

Answers

If the perimeter equals 30 and the length is twice the width, then the length is equal to 20 and the width is equal to 10.

Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?

Answers

from what i gather the answer is between 7-21

Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair?

Answers

She can buy 6 scarfs and 4 earrings
She can buy 4 pairs of earrings.

Suppose you put $500 into a bank account today. interest is paid annually and the annual interest rate is 8 percent. the future value of the $500 after 2 years is

Answers

I think it might be 583.2

How to tell if an equation has no solution without solving?

Answers

if the awnsers equal eachother for example 
x+3=5+x-2

which is not a solution of the inequality 5 - 2x at least -3 ?

a.) 0
b.)2
c.)4
d.)5

Answers

0the answere is zero
the answer ur lookin for is 0 

A total of 645 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

X + 55 = 645
-55 -55

X= 590

590 adult tickets were sold.


If you wanna check just do 590 + 55

Answer: 350 adult tickets

Step-by-step explanation:

number of adult tickets sold = x

number of student tickets sold = x-55

x-55+x=645

2x-55=645

2x=700

x=350

(5h​3​​−8h)+(−2h​3​​−h​2​​−2h)

Answers

(5h^​3 ​​− 8h) + (−2h​^3 ​− h^​2 ​​− 2h)
= 5h^3 - 8h - 2h^3 - h^2 - 2h
= 3h^3 - h^2 - 10h
(5h^3-8h)+(-2h^3-h^2-2h)

First, you would distribute into parentheses but there is nothing

5h^3-8h-2h^3-h^2-2h

Now, separate all into common terms

(5h^3-2h^3)(h^2)(-8h-2h)

Now simplify

3h^3h^2-10h

A discount store marks up the merchandise it sells by 55% if the whole sale price of a particular item is $25 what should the retail price be set at

Answers

We're setting a price by increasing the value: 100% of the wholesale value, plus the markup (55%)
100+55 = 155% of the original price - 1.55 as a decimal number
25 x 1.55 = $38.75

Find the value of 21 - 18 ÷ 3 · 2

Answers

using pemdas, this will be easy.
18 / 3 = 6 x 2 = 12.
21 - 12 = 9

Answer is 9.

Complete the point-slope equation of the line through (-4,8) and (4,4)

Answers

Point Slope Form looks like this:

[tex]y-y_{1} = m(x-x_{1})[/tex]

First, we need to find the m value, or slope. We can do this by using this equation:

[tex]y_{2} - y_{1 }= x_{2} - x_{1}[/tex]

4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2

Now, select one of the coordinate points, input those values and m, and solve for b.

4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b

y = -1/2x + 6

Now, input any number for x (I prefer 0, the y-intercept), and solve for y.

y = -1/2(0) + 6
y = 6

(0, 6)

After doing that, you can input that coordinate point into Point-Slope Form.

y - 6 = -1/2(x - 0)

Answer:

Step-by-step explanation:

What equation is equivalent to √x+11=15

Answers

Greetings and Happy Holidays!

Solve for x:
[tex] \sqrt{x}+11=15[/tex]

Add -11 to both sides:
[tex](\sqrt{x}+11)+(-11)=(15)+(-11)[/tex]

[tex]\sqrt{x}=4[/tex]

Sqaure both sides.
[tex]\sqrt{x}^2=4^2[/tex]

[tex]x=16[/tex]

The Answer Is:
[tex]\boxed{x=16}[/tex]

I hope this helped! 
-Benjamin

Please help thank you.

Answers

x=21 angle 1 equals 120

to find x you make am equation of 5x+15+3x-3=180 8x+12=180 x=21. then plug in 21 for x 5(21)+15 gives you the angle of 1 because Angel 1 and (5x+15) are corresponding angels in which they well have the same measurement
Because they are same-side interior they are supplementary:

5x + 15 + 3x - 3 = 180
8x + 12 = 180
x = 21

5x + 15 = a
5(21) + 15 = a
120 = a

Hope this helps!

After 15 minutes a train has moved 9/2 miles towards its destination. How many miles per minute is the train moving

Answers

23 min as I can see the train move
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