it's in the picture ​

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

this is the accurate answer of your questions

Area of Circle = pi * r* r

Diameter = 2* r

Radius = 30/2 = 15 cm

pi = 3.14

Area of circle = 3.14 * 15 *15 = 707.14 cm ^2

Answer:

C) [tex]sin\theta+cos\theta[/tex]

Step-by-step explanation:

[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]

[tex]sin\theta+cos\theta[/tex]

Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]

Answer:

C

Step-by-step explanation:

To start this problem off, we should know an important trig rule:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

From here, it is simple:

[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]

C

I hope this helps! Let me know if you have any questions :)

Answer:

Exact Form: [tex]\frac{17}{6}[/tex]

Decimal Form: 2.83

Mixed Number Form: [tex]2 and 5/6[/tex]

Step-by-step explanation:

Answer:

[tex]1\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{3}-2\frac{1}{2}[/tex]

[tex]4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}[/tex]

[tex]1\frac{5}{6} =\frac{11}{6}[/tex]

[tex]1\frac{2}{3}=\frac{5}{3}[/tex]

[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{3} =[/tex]

[tex]\frac{11}{6} *\frac{3}{5}=[/tex]

[tex]\frac{11}{2}*\frac{1}{5} =[/tex]

[tex]=\frac{11}{10}[/tex]

[tex]=1\frac{1}{10}[/tex]

Hope this is helpful

Answer:

cardioid

Step-by-step explanation:

r=2+2 sin(theta)​

This is of the form

r =a+b theta

This is a limacon

When a = b, it is called a cardioid.

Which graph?

___________

Answer:

[tex]X=12.125\%[/tex]

Step-by-step explanation:

From the question we are told that:

Cost Price [tex]CP=734[/tex]

Sale Price [tex]SP=823[/tex]

Generally the equation for Profit  P is mathematically given by

 [tex]Profit=SP-CP[/tex]

 [tex]P=823-734[/tex]

 [tex]P=89[/tex]

Therefore as a percentage

Percentage Profit X is given as

 [tex]X=\frac{89}{734}*100[/tex]

[tex]X=12.125\%[/tex]

Answer:

4 is the answer...........

_4 is the best answer of this question

Answer:

365

Step-by-step explanation:

tn = t1 + (n - 1)(d)

t(47) = -3 + (47 - 1)(8)

t(47) = -3 + (46)(8)

t(47) = -3 + 368

t(47) = 365

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

QUESTION:- find the value of x

[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]

[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]

Answer:

x = 24

Step-by-step explanation:

The exterior angles of the triangle sum to 360° , that is

5x + 4x + 6x = 360

15x = 360 ( divide both sides by 15 )

x = 24

Answer:

194.51

Step-by-step explanation:

Find 6% of 183.50

183.50 * 6%

183.50 * .06

11.01

Add this to the original price

183.50+11.01

194.51

Answer:

10%

Step-by-step explanation:

if the total hours of sports being played is 50 hours, and the time playing soccer is 5 hours, you just divide 5 by 50 (technically will be .1, but to make it a percent you multiply by 100)

Answer:

Step-by-step explanation:

According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:

a + 2b + 70 = 180 so

a + 2b = 180 -70 and

a + 2b = 110. That's why.

The point lies in 2nd quadrant.

Answer:

second quadrant

Step-by-step explanation:

here , -2 is x component and y component is 5

since x component is negative and y component is positive it lies on the second quadrant.

Note: if both x and y component are positive then the point lies on first quadrant.

id x component is negative and y component is positive then the point lies on second quadrant.

if x both x and y component are negative then the point lies on third quadrant.

if x component is positive and y component then the point lies on fourth quadrant.

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Answer:

Step-by-step explanation:

We have to find the circumference.

Length of the fence = 2πr

                                 = 2* 3.14 * 62.5

                                 = 392.5

                                 = 393 m

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.

Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]

Answer:

6.4807 Step-by-step explanation:

The square root of 42 is 6.4807.

Answer:

second option , third option and last option

Step-by-step explanation:

3x - 12 - 2(x + 12)

=3x - 12 -2x - 24

=x - 36

Answer:

The average speed is 465 mph

Step-by-step explanation:

1860/4 = 465

Answer:

The average speed is 465 mph

Step-by-step explanation:

Average speed = distance/time

1860 miles / 4 hours = 465 mph

Answer: y=2/4x+6

I think it´s right sorry if it is´nt

Answer:

Step-by-step explanation:

rather than doing all of the sums, you should just learn the formula (for the pattern)

it is n(highest + lowest) where n is number of numbers

             2

for example 2+3+4+5+6 = 20

5(6+2) =  20

  2

~~~~~~~~~~~~~~~~~~~~

1+2+3+4+5+6+7+8 = 36

8(9) = 72/2= 36

2