S=n/2(2a+(n-1)d). If d=5, n=13, S=585 find the value of a.​

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)  

s=13/2[2xa+(13-1)5]    

s=13/2(2xa+12x5)    

s=13/2(2a+60)    

585=13/2(2a+60)    

585 x (2/13) = 2a + 60

90 = 2a + 60  

90-60 = 2a

30 = 2a

a = 15


Related Questions

answer i guess i will give brainly for corret answers.

Answers

Answer:

B. Never

Step-by-step explanation:

When a number is irrational, it means that it cannot be written as a fraction.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

c) when it is improper fraction

Match the expression with its name. 6x3 - 9x + 3​

Answers

Answer:

x is 1.7 add it by three and its 18 you can do this by doing 9 times 1.7 which gets you 15 and add it with three and it equals 6 times 3

Step-by-step explanation:

2p+8p>-20 help please ☺️​

Answers

Answer:

p > -2

Step-by-step explanation:

2p + 8p > -20

10p > -20

10/10p > -20/10

p > -2

p is greater than -2

Which expression is equivalent to 36÷3+3?




22÷3⋅3

​​3⋅22÷3

3⋅22+3

22+3⋅3

Answers

Answer:

None.

Step-by-step explanation:

36 ÷ 3 + 3 = 15

22 ÷ 3 × 3 = 22

3 × 22 ÷ 3 = 22

3 × 22 + 3 = 69

22 + 3 × 3 = 31

PLEASE HELP!!! Super important!!!

Answers

Answer:

5n

Step-by-step explanation:

output=5x

where x is = input

there fore if input is n, output is 5n

the answer to this question is d)5n

The exchange rate between dollars ($) and pounds (£) is $1 = £0.65 . The exchange rate between euros (€) and pounds is €1 = £0.74 . Khan changes €520 into pounds. He spends £260 and then changes the rest into dollars. Work out how many dollars he receives​

Answers

Answer:

€520=£442.83

=£442.83-£260

=£182.83 into dollars=$251.52

Therefore he receives $251.52

I need help with the incorrect ones please

Answers

Answer:

73.6

61.824

.2776

2.3

1.342

.4129

*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*

Step-by-step explanation:

1.)

the mean would be something like 460*.16= 73.6

The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863

for p to be less than .15 it would have to be less than .15*460= 69

(69-73.6)/7.863= -.59 which has a probability of .2776

2.)

the mean is 2.3

I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)

I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342

(2-2.3)/1.342= -.22 = .4129

Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60​

Answers

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ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

C

Step-by-step explanation:

I took the quiz

find all the solutions of the equation in the interval [0, 2pi)
sin2x-1=0

show work pls

Answers

Answer:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

Step-by-step explanation:

We want to find all solutions to the equation:

[tex]\displaystyle \sin 2x - 1 = 0[/tex]

In the interval [0, 2π).

First, add one to both sides:

[tex]\displaystyle \sin 2x = 1[/tex]

Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.

And in this case, u = 2x. Thus:

[tex]\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}[/tex]

Dividing both sides by two yields:

[tex]\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}[/tex]

There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:

[tex]\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}[/tex]

Any other solutions will be outside our interval.

Therefore, our solutions are:

[tex]\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}[/tex]

Is the expression \left(5 \times 2\right)^x(5×2)
x
always equal to the expression 10^x10
x
? Explain your answer.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The expression (5·2)^x is evaluated by evaluating the expression in parentheses first. When you do that, you get 10^x.

  (5·2)^x ≡ 10^x

A circle has a circumference of C inches and an area of A square inches. inches. fC = 2/5 * A what is the diameter of the circle?

0.4 in.
0.8 in
2.5 in
10in

Answers

[tex]\it R=circle's \ radius;\ \ D=diameter;\ \ D=2R\\ \\ \mathcal{C}=2\pi R\\ \\ \mathcal{A}=\pi R^2\\ \\ \mathcal{C}=\dfrac{2}{5}\cdot\mathcal{A} \Rightarrow 2\pi R=\dfrac{2}{5}\pi R^2|_{\cdot\frac{5}{2}} \Rightarrow 5\pi R=\pi R^2|_{:(\pi R)} \Rightarrow 5=R|_{\cdot2} \Rightarrow 10=2R\\ \\ But,\ 2R=D,\ so\ \ D=10\ in[/tex]

Algebra 1 need help ASAP

Answers

Answer:

first one ( x ≥ -12)

Step-by-step explanation:

when you divide by -12 for both sides, the inequality reverses as the value is negative.

First one is the answer I think so

Does the graph represent a function? Why or why not?

Answers

Answer:

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.

Answer:

D.

Brainliest, please!

Step-by-step explanation:

This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.

Someone please helppp

Answers

Answer:

Step-by-step explanation:

L = 2 + sqrt(2)

W = 4 - 2sqr(2)

Area = L * W

Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )

Use Foil

F: 2*4 = 8O: 2*(-2sqrt(2) = - 4sqrt(2)I: 4*sqrt(2)L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4

Result

Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)

Area = 4

A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm

(a) write an expression, in terms of x, for the volume of the cuboid

(b) the volume of the cuboid is 750cm³.

(i) form an equation in terms of x to represent this information

(ii) solve the equation in (i)

(iii) hence or otherwise calculate the height of the cuboid.​

Answers

Step-by-step explanation:

Hi there!

From above question;

A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm.

Length (l) = 25cm

width (b) = 5cm

height (h) = (x-2)cm.

a).

Volume= l*b*h

V = 25*5*(x-2)

V = 125(x-2)

V = 125x - 250 → Answer

b).

(i)

V = 750cm³

V = 125x - 250

750 = 125x - 250..........(i)

(ii)

The equation (i) is: 750 = 125x - 250

or, 125x = 750+250

or, 125x = 1000

or, X = 1000/125

Therefore, X= 8cm.

(iii)

Height (h) = x-2

= 8-2

= 6

Therefore, height is 6cm.

Hope it helps!

Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.

2
4xy
12x
24
44y

Answers

Answer:

[tex]4xy[/tex][tex]12x[/tex]

-------------

[tex]36x^3,\:22x^2,\:4xy[/tex]

Factor 36x³

[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]

Factor 22x²

[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 4xy

[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]

Common factor

[tex]2x[/tex]

---------------------

[tex]36x^3-22x^2-12x[/tex]

Factor 36x³

[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]

Factor 22x²

[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]

Factor 12x

[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]

Common factor

[tex]2x[/tex]

OAmalOHopeO

Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by step

Answers

Answer:

Step-by-step explanation:

2. What is the volume of the regular pyramid to the nearest whole number?
14 cm
12 cm

Answers

291 cm^3

The volume of a pyramid is (area of base x height) / 3
In this case the base is an equilateral triangle with side 12cm.
Using the semi perimeter formula gives
Base = sr( 18 x 6 x 6 x 6) = 62.3538...
Volume = 62.3538... x 14 / 3 = 290.9845...
= 291 to nearest whole number

You could find the base area using Pythagoras and 1/2bh or the Sine formula

summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3

Answers

Answer:

Thanks for the points... dude.....

This the second time but thank you

Which numbers are solutions of each inequality?

Answers

Answer:

45. -7.1, -7 1/7

46. 3.7

Step-by-step explanation:

45. y < -7

Answer: -7.1, -7 1/7

46.

z > 3 2/3

Answer: 3.7

Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?

Answers

Answer:

1 1/2 sheets

Step-by-step explanation:

7/3 x = 7/2

x=3/2

which number best completes the pattern ?
17,12,7
3,7,11
21,16(?)

a. 12 b. 11 c. 8 d. 3​

Answers

Answer:

11

Step-by-step explanation:

the common difference in the last sequence is 5 which can be gotten by subtracting the first term minus the second term.. therefore to find the next term you subtract 5 from the previous term,and 16-5 is 11.

I hope this helps

Answer:

b

Step-by-step explanation:

The first series has a patten which is an=a(n-1)-5. The second series follow the pattern which is an=a(n-1)+4. The third series follow the pattern an=a(n-1)+5. So 16-5=11.

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =

Answers

Answer:

2, 6, 11

Step-by-step explanation:

To evaluate f(- 1) substitute x = - 1 into f(x)

f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2

Similarly

f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6

f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11

Answer:

f(-1) = 2

f(1) = 6

f(2) = 11

Step-by-step explanation:

Got it right on Edge (⌣_⌣”)

In a basketball game, Noli scored 3 points by shooting the ball at a horizontal distance of 7 feet from the 10-feet-high hoop. Noli threw the ball 6 feet above the ground and the ball went twice as high as its initial horizontal distance from the hoop. What was the horizontal distance of the ball from Noli when it reached its maximum height?

Answers

Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

WILL GIVE BRAINLIEST, PLEASE ANSWER ASAP, URGENT!! I ONLY NEED 3 AND 4

Answers

Answer:

Step-by-step explanation:

85 which is <UTY is vertically opposite <RTS makes RTS = 85

So 3 is + 85 = 180    Substitution

2x + 3x + 85 = 180

5x = 95

x = 95/5

x = 19

At the end of the first year, a zoo has 10 monkeys. If the number of monkeys doubles each year, how many will there be at the end of the fifth year?

A. 120
B. 160
C. 60
D. 50

Answers

The answer is b because you at doubling each year

Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP

Answers

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Can someone help me on this please

Answers

Answer:

105

Step-by-step explanation:

y=75. 180-z=2y, z=180-2*75=30. As the triangle is isosceles, the other two angles are 75 and 75 and x+75=180, x=105

3,125 subtracted by what can give me 514

Answers

Answer:

2611

Step-by-step explanation:

3125-2611= 514

for more answers check my bio

Help me pls! L need help with this

Answers

Answer:

G. -5/2

Step-by-step explanation:

First we want to distribute the 6 into q and 3.

6q + 18 = 2(q + 4)

Next distribute the 2 into q and 4.

6q + 18 = 2q + 8

Now the variable needs to be on one side of the equation. Subtract 2q from  both sides.

4q + 18 = 8

Isolate the variable. Subtract 18 from both sides.

4q = -10

Divide 4 on both sides.

q = -10/4

We can now simplify this even further. Divide -10/4 by 2/2

q = -5/2

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