How do you do this I'm so stuck.

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

Step-by-step explanation:

did u get the answer?//

Answer:

15

Step-by-step explanation:

3/4(20/1) = (3*20)/(4*1)

60/4

15

Answer: 40,260

Step-by-step explanation:

72,100-31,840=40,260

Answer:

201,300

Explanation

I got 100 so no worries

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

9514 1404 393

Answer:

  222 cm²

Step-by-step explanation:

The surface area can be found using the formula ...

  A = 2(LW +H(L+W))

To minimize fraction nonsense, we'll let H be the fraction.

  A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222

The surface area of the prism is 222 square centimeters.

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

2, -1

Step-by-step explanation:

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555

Answer: 170

Step-by-step explanation:

275-105

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480

Answer:

A. SSS

Step-by-step explanation:

Answer:

4in^3

Step-by-step explanation:

Answer:

380 students

Step-by-step explanation:

133 = 35%

[tex]\frac{133}{35}[/tex] = 1%

3.8 = 1%

3.8 * 100

= 380

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

1. The X axis is the line going left and right

2. The Y axis is the line going up and down

3. The origin is the point where the X and Y axis meet; (0,0); by the 0

4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C

5. (4,6)

6. (2,9)

7. (0,4)

8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

maybe 2.9 hours

Step-by-step explanation:

Answer:

-5 and 3

Step-by-step explanation:

(-(-2) +/- √(4- (4(1)(-15))) ÷ 2

(2 +/- √64 )÷ 2

(-2+8) ÷ 2 = 3

(-2 -8) ÷ 2 = -5

Answer:

varied

square root of number never result negative number

Step-by-step explanation:

There will only be one real solution.

If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].

For [tex]x<0[/tex], we get imaginary solutions.

Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]

In other words, when the square root of [tex]x[/tex] is a positive real number,  [tex]x[/tex] will be a unique positive number.

We can see this when trying to solve the equation given in the question

So, the equation

[tex]\sqrt x=c[/tex]

where [tex]c>0[/tex], when solved, will give

[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]

We will have a unique solution because squaring a positive real number gives a single result.

Learn more here: brainly.com/question/24117016

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9