Write the following series in sigma notation.
2+9+16+23+30+37+44

Answer:

2 1/4

Step-by-step explanation:

-5 1/4- (-7 1/2)

to minus cancel each other out so it becomes a plus

-5 1/4 + 7 1/2

common dinomanater

-5 1/4 + 7 2/4

2 1/4

Answer:

2³ × 3² × 5

Step-by-step explanation:

360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5

Answer:

Step-by-step explanation:

Answer:x = 14

My Step-by-step explanation:

Turn the problem around by switching around the division:

238/x=17 means 238/17=x so x = 14.

Answer:

-202

Step-by-step explanation:

-7(-5)^2+9(-3)

-7*5^2-27

-7*25-27

-175-25

-202

Answer:

Option c - 67.5

Step-by-step explanation:

Base= 15

Height = 9

Area= 1/2 x b h = 1/2 x 9 x 15 = 67.5 feet

Answer:

The answer would be 3

3x3x3 equals 27 you times it three times because its cube root of 27

Answer:

125

Step-by-step explanation:

cubed root of 27

"The cubed root of a number is the number that, when multiplied by itself three times (number x number x number), gives the original number. For example, the cubed root of 27 is 3, as 3 x 3 x 3 = 27. The cubed root of 125 is 5, as 5 x 5 x 5 = 125"

Answer:

-0.8(x + 9)(x - 1)

Step-by-step explanation:

Note that 0.8 is a factor of the three coefficients -0.8, -6.4 and 7.2.  Thus,

-0.8x2 - 6.4x + 7.2  =  0.8(-1x^2 - 8x + 9), or, equivalently,

                               = -0.8(x^2 + 8x - 9), which factors further as follows:

                                = -0.8(x + 9)(x - 1)

Answer:

Let length of bc be x cm

Thus, ab=4x

ab+bc=ac

4x+x=75

5x=75

x=75/5

x=15

Therefore, ab=x=15cm

bc=4x=60cm

Step-by-step explanation:

Answer:

$401.47

Step-by-step explanation:

1st year: 300+6%=318

2nd Year: 318+6%= 337.08

3rd Year: 337.08+6%= 357.30

4th Year: 357.30+6%= 378.74

5th Year= 378.74+6%= 401.47

Answer:

If the simple interest is 6% then A is $90.00 and B is $390.00.

Step-by-step explanation:

Answer:

Let's solve for x.

2x+3y=6

Step 1: Add -3y to both sides.

2x+3y+−3y=6+−3y

2x=−3y+6

Step 2: Divide both sides by 2.

2x 2 =

−3y+6

2 x= −3

2 y+3

Answer:

x= −3 2

y+3

Answer:

60

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

you were right, the answer is

D) the time spend reading book and the number of pages remaining to be read in the book.

Given:

Principal value = 40000

Rate of compounded interest = 20%

Time = 2 years

To find:

The interest.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal, r is rate of interest and t is time in years.

Putting the given values, we get

[tex]A=40000\left(1+\dfrac{20}{100}\right)^2[/tex]

[tex]A=40000\left(1+\dfrac{1}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{6}{5}\right)^2[/tex]

[tex]A=40000\left(\dfrac{36}{25}\right)[/tex]

[tex]A=57600[/tex]

Now, the formula for interest is

[tex]I=A-P[/tex]

[tex]I=57600-40000[/tex]

[tex]I=17600[/tex]

Therefore, the amount of compound interest is 17,600.

Answer:

x=9

Step-by-step explanation:

I basically just used the bottom left corner and since all of them are 90 degrees, i did 90-18 then i got 72 and i just divided it by 8 and got 9.

Hope this helps!

Answer:

The value of (x) is 19

Step-by-step explanation:

8x - 18 = 4x + 58

4x = 76

x = 19

I hope this is help :) "please tell me if that false"

Answer:

467.36 m^2 (maybe)

Answer:

I think it is right, yes i think it is.

Step-by-step explanation:

Step-by-step explanation:

(x+20)=9x

4x=20

x= 5°

because GEF AND DEG ARE EQUAL

THEN DEF= 2 * GEF

DEF = (9*5)*2=90

DEF= 90°

Answer:

B

We know the circle is closed

Answer:

x = [tex]942\frac{2}{9}[/tex]

Step-by-step explanation:

0.9 ( x - 20) = 830

0.9x - 18 = 830

0.9x = 848

9x = 8480

x = [tex]942\frac{2}{9}[/tex]

Answer:

n/h

Step-by-step explanation:

Average rate pf houses per hour = total number of houses painted / total hours

= n/h

Let's use an example - if i paint 10 houses in 2 hours.. how many houses would i paint in an hour

10/2 = 5 houses

Answer:

It's D, n/h

Step-by-step explanation:

Answer:

formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Step-by-step explanation:

choose two point of A, let k(-2, -3) and l(1, 3)

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

choose two point of B, let c(0, 5) and d(5, 0)

[tex]m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1[/tex]

Hence the gradient of A is

[tex] \frac{1}{2} [/tex]

and B is -1

Answer:

y-6 = -6(x-8)

Step-by-step explanation:

Here, we want to get the equation of the line in point-slope form

The point slope form is;

y-y1 = m(x-x1)

(x1,y1) represents the slope

We have this as ;

y-6 = -6(x-8)

Answer:

The 4th one/last one

Step-by-step explanation:

Answer:

When a file has an extension, the computer is allowed to store additional metadata about it.

Hope that helped :)

Answer:

B

Step-by-step explanation:

Answer:

D. 4+4k

Step-by-step explanation:

(12k +8) - (8+ 8k - 4)

12k +8 - 8 - 8k + 4

4k +4

d}4+4k

2(6k+4)-4(2+2k-1) writing down the question

12k+8-8-8k+4 multiplying the numbers by the coefficients

12k-8k+8-8+4 collecting like terms

4k+4 the answer

Answer:

600

Step-by-step explanation:

Answer:

£600

Step-by-step explanation:

1/5 of 1000= £200

that means £800 is left over

1:3= 200:600

ben gets £600, will gets £200

Answer:

D

Step-by-step explanation:

FOIL: x^2-10x+25

Answer:

x*2 -10x+25

so it would be D

5Step-by-step explanation: