what is the first term, common difference, and 16th term

What Is The First Term, Common Difference, And 16th Term

Answers

Answer 1

Answer:

The 1st term is -67

Step-by-step explanation:

I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])

   If  Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98

                124 = 8/2(a + 98)

                124 = 4(a + 98)

                124 = 4a + 392

                124 - 392 = 4a

                -268/4 = a

                -67 = [tex]a_{1}[/tex]

Hope that help :D


Related Questions

someone help please :)

Answers

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

What is the equation of the line that passes through the point (-4,-2) and has a
slope of -1/2?

Answers

Answer:

[tex]y = - \frac{1}{2} x[/tex]

please help me with this math is for my math homework​

Answers

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{137}{24} [/tex]

or

[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]

hope that helps you

2(k + 1) = -4(k - 2)​

Answers

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.

Answers

Answer:

y = -1/3x + 4

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.  The equation for line y1 is 3x - 4  The slope is the coefficient of x, which is 3.  That means the slope of line y2 is -1/3, because it's the negative reciprocal.  As for the y-intercept, just look for the point on the y-axis that the line intercepts.  If we look closely, we can see it intercepts point (0,4) on the y-axis.  Therefore, the slope-intercept form equation for line y2 is:  y = -1/3x + 4.

Answer:

y=5-x/3

Step-by-step explanation:

Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT

Answers

Answer:

16= (x-4)^2 +(y+9)^2

Step-by-step explanation:

hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2

r= the radius (in your case you have the diameter so you do not need to square it)

(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)

a nice rating would help out

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

-5 ( x - 1 ) -x +1 = -18

solve the brackets first

-5x + 5 - x + 1 = -18

-5x -x +5 +1 = -18

-6x + 6 = -18

-6x  = -18 - 6

-6x = -24

x = -24 / -6

x = 4

Please help with steps, will give brainliest. Simplify

Answers

Answer:

=53*(54 ×^9 y^12 z^15)^1/2

=53*y^6 *z^(15/2) * x^( 9/2)* (54)^1/2

Answer:

[tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex]

Step-by-step explanation:

[tex] \sqrt{54 {x}^{9} {y}^{12} {z}^{15} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 + 1} {y}^{12} {z}^{14 + 1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8 } \times {x}^{1} {y}^{12} {z}^{14} \times {z}^{1} } [/tex]

➡️ [tex] \sqrt{ {3}^{2} \times 6 {x}^{8} \times {xy}^{12} {z}^{14} \times z } [/tex]

➡️ [tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{8} } \sqrt {y}^{12} \sqrt{ {z}^{14} \sqrt{6xz} } [/tex]

➡️ [tex] {3x}^{4} {y}^{6} {z}^{7} \sqrt{6xz} [/tex] ✅

Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).

Answers

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Divide. Write your answer as a fraction in simplest form. − 7 1/0÷2/5=

Answers

Answer:

[tex] - \frac{71}{4} [/tex]

Step-by-step explanation:

[tex] - 7 \frac{1}{10} \div \frac{2}{5} [/tex]

[tex] = - \frac{71}{10} \times \frac{5}{2} [/tex]

[tex] = - \frac{71}{2} \times \frac{1}{2} [/tex]

[tex] = - \frac{71}{4} [/tex]

Nick's bank accout balance was $21. If he
writes a check for $30 and his bank charges
him $35 for overdrawing his account, find
his account balance.

Answers

Answer:

56

Step-by-step explanation:

Acme T-Shirt Company charges a $50 set-up fee plus $9 for each shirt printed. Beta T-shirt Company has no set up fee, but charges $14 per shirt. What is the minimum number of shirts for which a customer saves money by using Acme?​

Answers

Answer:

Step-by-step explanation:

Acme Company:

Let the number of shirts = x

Cost = 50 + 9x

Beta Company:

Cost = 14x

50 + 9x < 14x

Subtract 9x from both sides

50 < 14x - 9x

50 < 5x

Divide both sides by 5

50/5 < x

10 < x

Minimum number of shirts for which a customer saves money by using Acme  = 11 T-shirts

SOLVE PLEASE! (Help)

Answers

Answer:

1. [tex]\sqrt{218}[/tex]

2. [tex]\sqrt{89}[/tex]

3. [tex]2\sqrt{17}[/tex]

Step-by-step explanation:

The formula to find the distance between any two points on a coordinate plane is as follows:

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.

1.

Points: [tex](-4, 6),\ \ (3, -7)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}[/tex]

[tex]D=\sqrt{(-4-3)^2+(6+7)^2}[/tex]

[tex]D=\sqrt{(-7)^2+(13)^2}[/tex]

[tex]D=\sqrt{49+169}[/tex]

[tex]D=\sqrt{218}[/tex]

2.

Points: [tex](-6, -5)\ \ (2,0)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}[/tex]

[tex]D=\sqrt{(-6-2)^2+(-5-0)^2}[/tex]

[tex]D=\sqrt{(-8)^2+(-5)^2}[/tex]

[tex]D=\sqrt{64+25}[/tex]

[tex]D=\sqrt{89}[/tex]

3.

Points: [tex](-1, 4)\ \ (1,-4)[/tex]

Substitute into the formula,

[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

Simplify,

[tex]D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}[/tex]

[tex]D=\sqrt{(-1-1)^2+(4+4)^2}[/tex]

[tex]D=\sqrt{(-2)^2+(8)^2}[/tex]

[tex]D=\sqrt{4+64}[/tex]

[tex]D=\sqrt{68}[/tex]

[tex]D=2\sqrt{17}[/tex]

Which of the following correctly models 8 square

Answers

Answer:

A

Step-by-step explanation:

What is the volume of the following rectangula
prism?
4
units
3
23
units
4

Answers

SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW

If jonny has 19 apples then adds 19 more apples to his collection how many does he have

Answers

Answer:

it should be 38

Step-by-step explanation:

Just add 19 more to the amount you already have.

Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?

Answers

Answer:

$137.33

Step-by-step explanation:

$115.78 + $15.00 = $130.78

$130.78 + $7.50 = $138.28

$138.28 - $35.90 = $102.33

$102.33 + $20.00 = $122.33

$122.33 + $15.00 = $137.33

Chow,...!

if you buy a 5 bananas for 3 dollars how much is one

Answers

.60 cents each banana

1.6667

that's the answer cause I said so

what is the answer of this question plzzzzzzzzzzz say fast​

Answers

Answer:

[tex]1=3=70^{0} \\2=4=5=110^{0}[/tex]

Step-by-step explanation:

Given angle is 110°

Now,

[tex]4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ][/tex]

From the figure,

[tex]4=110^{0}\,\,;[alternate\,\,angle][/tex]

[tex]So,\,\,2=5=110^{0}[/tex]

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°

1 = 3 = 180° - 110° = 70°

Hope you have understood this.....      

ask me if you have any confusion.....      

if you liked it pls mark it as the brainliest

Answer:

  angle 1  =70 degrees

  angle 2  =110 degrees

  angle 3  =70 degrees

  angle 4 = 110 degrees

  angle 5  =110 degrees

Step-by-step explanation:

1) 110+ angle 1=180(allied angles)

          angle 1=180-110

          angle 1=70 degrees

2)angle 2+ angle 1=180(angles on a straight line)

  angle 2+ 70        =180

       angle 2          =180-70

       angle 2          =110 degrees

3)angle 3+ angle 2=180(angles on a straight line)

    angle 3+ 110       =180

       angle 3           =180-110

       angle 3           =70 degrees

angle 3 can be taken as vertically opposite angles(70 degrees)

4)angle 4 = 110 degrees (vertically opposite angles)

5)angle 5+ angle 3=180(allied angles)

  angle 5+ 70        =180

            angle 5     =180-70

           angle 5     =110 degrees

Hope you got this .......

If you have any questions regard to this you can ask me.......

There are many ways to do these sums but the answer should be correct......

If you think this is the best answer please mark me as brainliest....


How do I solve this pls help?

Answers

Answer:

a)

f(0) = 4, from the graph

b)

h(11) = 15, from the table

c)

g(-9) = -2(-9)² - 4(-9) + 1 = -125, as per equation

d)

f(2) = 1, from the graph

e)

h(-2) = 2, from the table

f)

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125, as per equation

f(0) = 4

h(11) = 15

 

g(-9) = -2(-9)² - 4(-9) + 1 = -125

f(2) = 1

h(-2) = 2  

g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125

Find the 9th term of the geometric sequence 5, -25, 125, ..

Answers

Answer:

5^9

Step-by-step explanation:

bn= b1*r^(n-1)

b9=b1*r^8

r=-25/5=-5

b9= 5*5^8=5^9

Please help I know it’s a lot ...?

Answers

Answer:

1. 3g - 24 = 5

2. 5y + 3 = -38

3. 2x + 4 = 45

4. 1/2n - 10 = 30

5. 5n - 6 = 5

6. 6n - 7 = 10

Step-by-step explanation:

not sure if you wanted what the variables equal if you do leave a comment

what is the square of 18​

Answers

Answer:

Square of 18 is 324

Step-by-step explanation:

[tex]18^2=18*18\\=180+80+64\\=324[/tex]

hope you have understood this...

pls mark my answer as the brainliest

plssssssssssssss help

Answers

[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6

Answer:

write 0.32 repeating as a fraction in simplest form.

Answers

Answer:

0.32 repeating as a fraction

= 32/99

Step-by-step explanation:

The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.

Let's represent 0.32 repeating as x:

x = 0.323232...

Multiply both sides of the equation by 100 to shift the decimal point two places to the right:

100x = 32.323232...

Now, subtract the original equation from the shifted equation to eliminate the repeating part:

100x - x = 32.323232... - 0.323232...

Simplifying the equation:

99x = 32

Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ6

A cell phone tower casts an
post
80-foot shadow. At the same time, a 6-foot fence
casts a shadow of 4 feet. What is the height of the tower?

Answers

The height of the cellphone tower is 120 feet

if two points lie in a plane, then_______

Answers

Answer:

the line containing them lies in the plane.

Step-by-step explanation:

If two planes intersect, then their intersection is a line.

If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

I hope this answer can help you ♥️

how r u doing?? 1-10:D? (free pts btw)

Answers

Answer: i am good,how are you?

Step-by-step explanation:

Answer:1-10 = 9 :D

Step-by-step explanation:

A car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10 s. The average acceleration of the car is


Select one:

A. 2.1 m/s ^2

B. 7.5 m/s ^2

C. 1.5 m/s ^2

D. 5.0 m/s ^2


^2 means exponent

Answers

Answer:

I think answer id B.and this will right you make me brillent student

The acceleration will be 2.1 meters per second. The correct option is A.

What is acceleration?

Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.

Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.

The acceleration will be calculated as below:-

Acceleration = Velocity / Time

Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s

Acceleration = Velocity / Time

Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²

Therefore, the acceleration will be 2.1 meters per second. The correct option is A.

To know more about acceleration follow

brainly.com/question/460763

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Sin A 4/5.

Find
COSA + tan A

Answers

Answer:

Step-by-step explanation:

The opposite side (the one not connected to A) = 4

The hypotenuse is 5

The adjacent side needs to be found for the cosine and the tangent.

a^2 + b^2 = c^2

a = opposite side = 4

b = adjacent side = ?

c = hypotenuse = 5

4^2 + x^2 = 5^2

16 + x^2 = 25          

x^2 = 25 - 16

x^2 = 9

x = sqrt(9)

x = 3

cos(A) = adjacent / hypotenuse = 3/5

Tan(A) = opposite / adjacent = 4/3

cos(A) + tan(A) = 3/5 + 4/3

cos(A) + tan(A) = 9/15 + 20/15 = 29/15

Given: SinA = 4/5

To find: CosA + TanA

Solution:
16/25 + Cos²A = 1 [Sin²A + Cos²A = 1]
Cos²A = 1 - 16/25
Cos²A = 25 - 16/25
Cos²A = 9/25
CosA = 3/5
We know that TanA = SinA/CosA
TanA = (4/5)/(3/5)
TanA = 4/3
CosA + TanA = 3/5 + 4/3 = 29/15
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