Calculate the volume of a cube with side length of 7mm.

Answer:

C) -10, -19, -28, -37, -46

Common difference: -9

Step-by-step explanation:

A) 5, 15, 45, 135, 405 is an example of a geometric sequence because each subsequent term is being multiplied by 3, which is the common ratio.

B) -5, 0, 0, 0, 0 is an example of a geometric sequence with a common ratio of 0 because each subsequent term is being multiplied by 0.

C) -10, -19, -28, -37, -46 is an example of an arithmetic sequence because each subsequent term is subtracted by 9, which is the common difference.

D) 0, 1, 1, 2, 2 is neither a geometric nor arithmetic sequence because the sequence shows no pattern that follows that of the two possible sequences.

Answer:

x-10

Step-by-step explanation:

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

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Answer:

m<1 = 136

m<4 = 44

Step-by-step explanation:

Exterior angle thm:

<2 + <3 = <4

4x + 2 + 5x - 3 = 8x + 4

9x - 1 = 8x + 4

9x - 8x = 4 + 1

x = 5

m<4:

8x + 4

8(5) + 4

40 + 4

44

m<1 and m<4 are supplementary (they add up to 180) so:

m<1 + m<4 = 180

m<1 + 44 = 180

m<1 = 136

Answer:

The possible solutions are 58 degree, 122 degrees, 302 degrees and 238 degrees

Step-by-step explanation:

Please see the attachment

From the figure, it is evident that

cos AOB = OB/OA = 53/100 = 0.53

Thus, cos-1 (0.53) = 58 degrees

AOB = 58 degree

Also, there are can be other values depending on the quadrants

COB = 180 -58 = 122 degrees

FOB = 360 -58 = 302 degrees

EOB = 180 + 58 = 238 degrees

9514 1404 393

Answer:

  {-1, 0, 1, 2, 3, 4}  

Step-by-step explanation:

Divide by 2 to find the solution.

  -3/2 < e ≤ 4

The integer solutions are ...

  {-1, 0, 1, 2, 3, 4}

Step-by-step explanation:

-3 < 2e ≤ 8

devided by 2

-3/2 < e ≤ 4

so, the integers are : { -1,0,1,2,3,4}

Answer:y=-7n+33

Step-by-step explanation:

Answer: 2π(1.75)(5)

Step-by-step explanation:

Hoped this helped

Answer:

1/3

Step-by-step explanation:

3 is a multiple of 3 itself so that's 1. 6 is also a multiple of 3 so that's 2 out of 6 in other terms 2/6. 2/6 simplified is 1/3 so he also has 1/3 of a chance of rolling a digit that is a multiple of 3.

Answer:

45

Step-by-step explanation:

x/3=15

Mutiply each side by 3

x=45

Step-by-step explanation:

[tex] \frac{x}{3} = 15 \\ ✒ \: x = 15 \times 3 \\ ✒ \: x = 45[/tex]

To verify:-

[tex] \frac{x}{3} = 15 \\ ✒ \: \frac{45}{3} = 15 \\ ✒ \: 15 = 15 \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

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Answer:

1)  yes, SAS

2)  yes, AAS

3)  yes, SAS

4)  not enough information to know

Step-by-step explanation:

81.469 correct to one Decimal place is 81.5

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

[tex]7.25\% = 0.0725[/tex] in decimal form

Step 2: Solve with the formula

[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]

Answer:

C. 600 m²

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.

The area of a parallelogram is the product of its base and its height. It is given by the formula:

Area = base * height

We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:

Area = base * height = 40 m * 15 m = 600 m²

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

Answer:

the shop originally bought the television for $553.75

Step-by-step explanation:

this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75

Answer:

7&2 = 49

49 x 3.14 x 2(there are two circles) = 307.72

Now we find the lateral surface area, we need to find circumference first:

2 x 3.14 x 7 = 43.96

Now we need to multiply by the height:

43.96 x 11 = 483.56

Now lets add our areas:

483.56 + 307.72 = 791.28 m^2 is your answer.

Answer:

132

Step-by-step explanation:

C=5

3c - 2 = 13

2c = 10

4c + 1 = 21

4c + 2 = 22

length = (3c- 2) + (4c + 1)

length = 13 + 21

length = 34

width = (4c + 2) + (2c)

width = 22 + 10

width = 32

Perimeter

p = 2l + 2w

p = 2*34 + 2*32

p = 68 + 64

p = 132

Answer:

300

Step-by-step explanation:

subract costs from revenue

Answer:

C) 4,0

Step-by-step explanation:

Basically to find zeros you set up the expression equal to zero.

First pair is (0,0) they derived this by setting the leftmost x to 0 so x=0, this meant that when x was plugged back into the equation y = x(x-4) the y value we got out was 0 because y = 0 (0-4) = 0, thus the pair (0,0).

For second pair, we set up x-4= 0, solve this to get x = 4 (add 4 to both sides). Now plug this back into full equation y= 4 (4-4)= 0, you get y=0 and your ordered pair is (4,0) which is the second pair of zero.

Zero are x-intercept where y is zero which is the main reason why we setup x=0 or x-4=0 to start with.

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Answer: 7 is 1/8, 8 is 2/8 or 1/4

Step-by-step explanation:

Answer:

Rounded to the nearest ten, 5760

Rounded to the nearest tenth, 5764.4

Rounded to the nearest hundred, 5800

Rounded to the nearest hundredths, 5764.36

Step-by-step explanation:

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

Answer: 11: 26

12: 111

Step-by-step explanation:

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Answer:

Step-by-step explanation:

c.

y= 30x² +44x +16

factor

y= 2 (15x² +22x +8)

find zeros

15x²+22x+8=0

ax²+bx+c=0

x= (-b±√(b²-4ac))/2a

x= -22±√484-480/30 = -22±2/30 = -11±1/15

there are 2 zeros x= -10/15 ; x= -12/15

d.

y= 10x² +60x +80

factor

y= 10(x²+6x+8) = 10( x+2)(x+4)

finding zeros

x+2 =0 so x= -2

x+4 =0 so x= -4

there are 2 zeros x= -2; x= -4

Answer:

1/2 divided by 4 = 1/8 or 0.125

Step-by-step explanation:

1/2 divided by 4

(1/2) ÷ 4

= 1/2 × 1/4

= 1/8 or 0.125