Which of the following is most likely the next step in the series?

Answer: 8

Evaluating the function for x = -1

[tex]f(x)=x^2+7\\f(-1)= (-1)^2+7\\f(-1)=8[/tex]

Answer:

2040

Step-by-step explanation:

34x60=2040

Answer:

2040

Step-by-step explanation:

So we multiply them on a calculator.

Answer:

the newer moat is 169 cm longer than the older one

Step-by-step explanation:

in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:

old castle:

dimension = 484cm by 386cm

perimeter = 484 + 386 = 870 cm

new castle:

dimension = 725cm by 314cm

perimeter = 725 + 314 = 1039 cm

difference =  1039 - 870 = 169 cm

The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.

Answer:

Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.

Answer:

x = 9/4

Step-by-step explanation:

Since the x coordinates are the same, it is a veritcal line with x = 9/4

Answer: No slope

Step-by-step explanation: The line is going straight down.

Answer:

46.8 kg

Step-by-step explanation:

78 * 0.6 = 46.8

Answer:

C

Step-by-step explanation:

f(x)=72-4x

72-4x=0

4x=72

x=18

f(x)<=18

Answer:

the hardcover is 19.95, and the parback is 6.65. enjoy.

Answer:

D

Step-by-step explanation:

Distributing the factors we get

-8x^2 -6x +35

Answer: 2ab - e/3 - 3d

Step-by-step explanation:

2ab - 1/3e - 3d

= 2ab - 1e/3 - 3d

= 2ab - e/3 - 3d

Answer:

it depends how many games you want. If you want 1 game for the xbox then its $174 but if you want a ps4 with a game then its $200. I would go with the xbox.

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

Answer:

1/3

Step-by-step explanation:

[tex]\sqrt[4]{4x+10}[/tex] = 4x+10 ^1/4

[tex]\sqrt[4]{9+7x}[/tex]= 9+7x^1/4

Since they are under the same root, you can combine them under the root.

Then you change the +/- sign of one side of the equation to move to the other side of the equation.

To get....[tex]\sqrt[4]{-3x+1}[/tex]=0

^4 both sides to get..

-3x+1=0

Move 1 to the other side...

-3x=-1

divide both sides by -3

x=1/3

Answer:

b) 15 winners

Step-by-step explanation

if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.

(2,160,000/ 144,000)

Answer:

x= -1

Step-by-step explanation:

Solving through linear equation,

-0.1x + 3/10= 4/10

Bring 3/10 to the other side making it minus

-0.1x = 4/10 - 3/10

-0.1x = (4-3)/10

-0.1x= 1/10

Bring -0.1 to the other side n divide

x= 1/10 ÷ -0.1

( Note that -0.1 is the same as -1/10)

x = 1/10 ÷ -1/10

= 1/10*-10/1

= -10/10

= -1

Answer:

Option(1) is the correct answer to the given question .

Step-by-step explanation:

let     [tex]x1, y1=\ (2, 3)[/tex]

[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]

[tex](x3,y3)=\ (4,8)[/tex]

Now we know that

[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]

Now putting this value in the formula we get

[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]

[tex]=\ \frac{1}{2}\ *9.3649[/tex]

=4.6824

Therefore option(1) is the correct answer .

Answer:

Option(1) is the correct answer to the given question .

Step-by-step explanation:

Answer:

  6.48 days

Step-by-step explanation:

  [tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]

About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.

Answer:

V=π*r^(2)*h/3

Step-by-step explanation:

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

Answer:

Step-by-step explanation:

5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2

   b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.

6. BD = DB  Reflexive property

    ∠3 = ∠5, ∠4 = ∠6  Alt. int. angles

    ΔADB = ΔCDB   ASA

7. AB = BC Def. of midpoint

   ∠1 = ∠2 Given

   ∠BAE = ∠CBD Corresponding angles

   ΔBAE = ΔCBD ASA

    ∠D = ∠E CPCTC

Answer: The negative solution is -2

Step-by-step explanation:

[tex]5x+14=x^2\\x^2-5x-14=0\\\\(x-7)(x+2)=0\\x_1=7\\x_2=-2[/tex]

Answer:

  P = (2, 3)

Step-by-step explanation:

P is a local minimum, so can be found from the upper zero of the derivative.

  y' = 0 = 3x^2 -8x +4

  0 = (3x -2)(x -2)

  x = 2/3, x = 2

So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:

  y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3

The coordinates of P are (2, 3).

__

A graphing calculator confirms this result.

Answer:

£2,750

Step-by-step explanation:

Tax rule:  25% tax on any income above £24,000 per year

It means that upto  £24,000 there is no tax and the amount above  £24,000

is taxable.

Annual payment of Dana =  £36,000

Hence, she will be taxed only on amount above  £24,000 out of £36,000.

Lets find amount above  £24,000 =  £36,000- £24,000 =  £12,000

Tax on  £12,000 = 25% of  £12,000 = 25/100 *  £12,000 =  £3,000

Thus,  £3,000 will be deducted as tax annually out of total earning of  £36,000.

Amount paid to Dana after deduction of tax annually =  £36,000 -  £3,000

Amount paid to Dana after deduction of tax annually is £33,000

As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000

the amount of money she receives after tax in 12 month =  £33,000

Dividing LHS and RHS by 12

The amount of money she receives after tax in 12/12 month =  £33,000/12

The amount of money she receives after tax in 1 month =  £2,750

The amount of money Dana receives after tax each month is £2,750.

Answer:

b = a² + 2a

Step-by-step explanation:

a + 1 = √(b + 1)

(a + 1)² = b + 1 (Square both sides)

a² + 2a + 1 = b + 1 (Expand left side)

a² + 2a = b (Subtract 1)

Answer:

only A and B are correct

Step-by-step explanation:

all angles in a triangle will always add up to 180

all adjacent angles on a straight line will always add up to 180

Answer:

A and B are correct.

Step-by-step explanation:

This is what I got on EDG

I hope this helps!!!!

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

Answer:

common ratio(r) = 10

place of the term = n

a = 3

now

sequence of 1 term = ar^(n-1)

= 3×10^(1-1)

= 3× 10^0

= 3×1

= 3

sequence of 2 term = ar^(n-1)

= 3×10¹

= 30

and so on

Answer:

5a

Step-by-step explanation:

[tex]5\cdot \:a\\\\[/tex]

5 multiply a

5a

Answer:

option 4

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\(\frac{2}{3})^{-4}=(\frac{1}{\frac{2}{3}})^{4}\\\\=(\frac{3}{2})^{4}\\\\=\frac{3^{4}}{2^{4}}\\\\=\frac{81}{16}[/tex]