determine whether the series converges or diverges. [infinity] 5^n 1 4n − 2 n = 1

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

coffee=c

cakes=d

c+2d=8

2c+3d=14

c=8-2d

2(8-2d)+3d=14

16-4d+3d=14

-d=-2

d=2

c+4=8

c=4

coffee=4 dollars each

cakes=2 dollars each

The price of coffee is $4 and price of slice of cake is $2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

One coffee and two slices of cake cost 8 dollars in total.

Two coffees and 3 slices of cake cost 14 dollars in total.

let the price of coffees sold be x

let the price of slices of cake sold be y

Then, the system of equations are

x+ 2y = 8

2x+ 3y = 14

On solving

2(8- 2y)+ 3y= 14

16 - 4y + 3y= 14

-y= -2

y= 2

and, x = 8- 2(2)= 8- 4= 4

Hence,  price of coffee is $4 and price of slice of cake is $2.

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Answer:

B. Equilateral

It is an equilateral triangle

As we can see all sides are equal.

Equilateral Triangle

Step-by-step explanation:

Answer:

I think it is 5 if I did it right

S

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Answer:

Step-by-step explanation:

(-2 + 3)/(2 + 1) = 1/3 is the slope

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.

Answer:

Step-by-step explanation:

A and D

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

Answer:

64 ft^2

Step-by-step explanation:

Answer:

the answer is b:-6

Step-by-step explanation:

hoped I helped:)

Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation:

Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

Answer:

1.  (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)​

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

Answer:

To calculate perimeter add all the sides of the particular shape.

I hope this helps!

Square perimeter formula: P = 4a

Rectangle perimeter formula: P = 2(a + b)

Triangle perimeter formulas:

P = a + b + c or

P = a + b + √(a² + b² - 2ab * cos(γ)) or

P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))

Circle perimeter formula: P = 2πr

Circle sector perimeter formula: P = r(α + 2) (α is in radians)

Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))

Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d

Parallelogram perimeter formulas:

P = 2(a + b) or

P = 2a² + √(2e² + 2f² - 4a²) or

P = 2(b + h/sin(α))

Rhombus perimeter formulas:

P = 4a or

P = 2√(e² + f²)

Kite perimeter formula: P = 2(a + b)

Annulus perimeter formula: P = 2π(R + r)

Regular polygon area formula: P = n * a

Answer:

20 m

Step-by-step explanation:

Let the length of the perpendicular dropped from vertex C to segment AB be x

By geometric mean property:

[tex]x = \sqrt{16 \times 9} \\ \\ x = \sqrt{144} \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^{2} + {12}^{2} } \\ \\ = \sqrt{256 + 144} \\ \\ = \sqrt{400} \\ \\ = 20 \: m[/tex]

Answer:

WYM

Step-by-step explanation:

Answer:

Consider left and right sides of the equations as linear functions.

Then:

Answer:

Ani age is 21

Biju age is 18

Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

Y/2 - 2x = 30..... (equ. 2)

from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

y/2 - 6 + 2y = 30

multiply both side by 2

y - 6 + 2y = 60

y + 2y = 60 - 6

3y = 54

Y = 18

from equ.3

X = 3+Y where y is 18

X = 3+18 = 21

Answer:

x + 9.50 = 35

Step-by-step explanation:

The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,

We already know the amount they spent on popcorn.

X, the amount they spent on tickets + 9.50=35

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

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Answer:

Area of the remaining patio = 2.67 square yards

Step-by-step explanation:

Width of the remaining area of the patio = [tex]\frac{2}{3}[/tex] yards

Length of the remaining area of the patio = 4 yards

Since, area of the remaining area of the rectangular patio

= Length × Width

= [tex]\frac{2}{3}\times 4[/tex]

= [tex]\frac{8}{3}[/tex]

= 2.67 square yards

Therefore, area of the remaining area of the patio = 2.67 square yards

Answer:

Step-by-step explanation:

The answer for the second part of the question would be.

C)The result suggests that there's a positive correlation between taking 10-minutes breaks during the say and developing cancer in public workers.

The correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.

The health ministry only distributes forms to workers every five years to collect information on office jobs and worker health concerns. They are just monitoring the workers, and the survey allows them to assess and establish a link between office employment and worker health concerns. Therefore, it is an observational study.

The conclusion that can be concluded from this study is that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

Hence, the correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

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Answer:

option C is correct answer of this question

Answer:

the answer is c 2 teaspoons

Step-by-step explanation:

if you divide 84 by 21 you would get 4.  then you multiply 1/2 by 4 and get 2 teaspoons.

Answer and Step-by-step explanation:

This graph is linear. The graph would look like this:

#teamtrees #WAP (Water And Plant) #PAW (Plant And Water)

#PAWG (Plant And Water Gang)

Answer:64 people

Step-by-step explanation: total no. of members=80

%decrease=20

20/100 x 80=16(people that left)

people rem.=80-16

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]

Answer:

I think the answer B

If not then, sorry