5,
5,
6,
8,
11,
What is the next number

Answer:

either 3 1/2 or 7/2

Step-by-step explanation:

4 is equal to 8/2

8/2 minus 1/2 is 7/2

7/2 can be simplified to be 3 1/2

Answer:

Step-by-step explanation:

[tex]10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6[/tex]

Answer:

Step-by-step explanation:

Diameter ( d ) = 21 cm

Radius is just half of the diameter

Radius ( r ) = [tex] \sf{ \frac{21}{2} }[/tex] = 10.5 cm

Now, let's find the perimeter of a semi - circle :

[tex] \sf \frac{1}{2} \pi \: r \: [/tex]

Plug the values

⇒[tex] \sf{ \frac{1}{2} \times 3.14 \times 10.5}[/tex]

Calculate

⇒[tex] \sf{16.485 \: cm}[/tex]

Hope I helped!

Best regards!

Answer:

We have to travel 26.93 units from platform B to C.

Step-by-step explanation:

Length of a segment having coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is determined by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the graph attached,

Coordinates of the points B and C are (-25, -20) and (-15, 5) respectively.

Distance between these points B and C Or length of BC will be,

BC = [tex]\sqrt{(-25+15)^2+(-20-5)^2}[/tex]

     = [tex]\sqrt{100+625}[/tex]

     = [tex]\sqrt{725}[/tex]

     = [tex]5\sqrt{29}[/tex]

     = 26.93 units

Therefore, we have to travel 26.93 units from platform B to C.

Answer:

22.4 meters

Step-by-step explanation:

Because the distance and stuff I don't really know sorry

Answer:

[tex]\frac{941}{999}[/tex]

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941......       (I)

       x =      0.941941....... (II)  {subtract equation (II) from (I)  }

 999x = 941

x = 941/999

Answer:

-2(x - 5)(x + 1)

Step-by-step explanation:

-2x² + 8x + 10

-2(x² - 4x - 5)

-2(x - 5)(x + 1)

Step-by-step explanation:

Hey, there!!

Let's do it simply, ok.

Given that,

[tex] = - 2 {x}^{2} + 8x + 10[/tex]

Take (-2) common to make it easy.

[tex] = -2( 2 {x}^{2} - 8x - 10)[/tex]

= -2{ x^2-(5-1)x -5}

Multily with x,

= -2 {x^2-5x+x-5}

Taking common,

= -2{x(x-5) +1(x-5)

= -2{(x+1)(x-5)}...is your required answer.

Hope it helps...

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation:

Answer

4.4×10^4

For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point

Step-by-step explanation:

Answer:

6x-4

Step-by-step explanation:

Answer:

-4-6x

Step-by-step explanation:

you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x

Answer:

14(1/2-t)≤28

14(1-2t)/2≤28

14-28t≤28

-28t≤56-14

-28t≤42

t≤42/-28

t≤ -1.5

15k+11≤18k-5

15k-18k≤-5-11

-3k≤-16

k≤-16/-3

k≤-5.333

44y>11+88y-22y

44y>11+66y

44y-66y>11

-22y>11

y>11/-22

y>-0.5

7/9(b-27)>49/81

(7b-180)/9>48/81

81(7b-189)>9(49)

567b>441+15309

567b>15750

b>15750/567

b>27.78

It is possible to draw a quadrilateral with one pair of congruent consecutive sides

A quadrilateral has four sides

The four sides can be congruent or not congruent

However, when a pair of consecutive sides are congruent, then the quadrilateral is a square

Hence, the statement is yes

Read more about quadrilaterals at:

https://brainly.com/question/22254043

#SPJ2

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

[tex]g(x) = 4x - 1[/tex]

To find:

Difference quotient = ?

where [tex]h \neq 0[/tex]

Solution:

Formula for Difference quotient is given as:

[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]

First of all, let us find out [tex]g(x+h)[/tex]

Replacing [tex]x[/tex] with [tex]x+h[/tex]

[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]

Now,

[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]

Putting the above value in:

[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]

We are given that, [tex]h \neq 0[/tex]

[tex]\therefore \dfrac{4h}{h} = 4[/tex]

So, the difference quotient is 4.

Answer:

K = 12

Step-by-step explanation:

10 Cos 30° – 3 Tan 60°

The above expression can be simplified as follow:

10 Cos 30° – 3 Tan 60°

Recall:

Cos 30° = √3/2

Tan 60° = √3

Therefore,

10 Cos 30° – 3 Tan 60°

10 (√3/2) – 3(√3)

5√3 – 3√3

(5 – 3) √3

2√3

To write the above expression 2√3 in the form √K, we simply do the following:

2√3

Find a number, such that the square root of the number will result to 2. The number is 4 as shown below

√4 = 2

Next, replace 2 with √4 in the expression above

2√3

= √4 × √3

= √(4 × 3)

= √12

Therefore,

2√3 = √12

Comparing √12 with √K,

√12 = √K

K = 12

Answer: x = 15

Step-by-step explanation: Since x is multiplied by 3, divide both sides

of the equation by 3 to get x by itself, and show all your work!

Put both sides of the equation over 3

and cancel out the 3's on the left side.

It's tempting to want to show off your

math skills by doing the work in your head.

Don't fall into this trap!

It's extremely important to develop the habit

of writing every step down on paper or digitally.

It will serve you very well for many years.

Answer:

x = 7, x = 2

Step-by-step explanation:

Given

x² = 9x - 14 ( subtract 9x - 14 from both sides )

x² - 9x + 14 = 0 ← in standard form

(x - 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 7 = 0 ⇒ x = 7

x - 2 = 0 ⇒ x = 2

Answer:

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

Bruhhh, I think we got to the same online school XD

Answer:

Option 1

Step-by-step explanation:

Rational numbers do not have infinite decimals.

Option 1:

-5, 3/4 and √49 are all rational. Correct

√49 = 7

3/4 = 0.75

-5 = -5

Option 2:

1/4 = 0.25

5 = 5

√12 = 3.4641...

Incorrect

Option 3:

-1/2 = -0.5

-3 = -3

√8 = 2.82841...

Incorrect

Option 4:

1/7 = 0.142857...

9 = 9

√11  = 3.31662...

Incorrect

Answer:

5^3 and (-4)^2

Step-by-step explanation:

A^b means a is the base and b is the exponent

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r. The statement means that the height of the cylindrical soup is 7 more than its radius.

Answer:

Step-by-step explanation:

the height of the cylendar is 7 units greater than the radaius

Answer:

y=1.5x

Step-by-step explanation:

Step 1: State what you know

Pineapples are 1.50 per pound

X represents how many pounds of pineapples you want to buy

Y represents how much do 'x' amount of pineapples cost in dollars

Step 2: Write the equation

y (the price of 'x' pounds of pineapple)=1.5(the cost of a pineapple)x(how many pounds of pineapples you bought)

Therefore the equation that represents the problem is y=1.5x

Answer:

y=1.5x

Step-by-step explanation:

Answer:

Increases by a factor 8.

Volume = 685.12.

Step-by-step explanation:

The volume will increase by a factor of 2^3 , because the volume is 3 dimensional.

That is the new volume = 85.64 * 8

= 685.12.

Answer:

30

Step-by-step explanation:

2/3 = .6

18/.6 = 30

Answer:

27

Step-by-step explanation:

If you want to divide a fraction, you have to divide it from it's reciprocal.

The reciprocal of 2/3 is 3/2.

Now, you have to multiply 3 and 18

18 x 3/2 = 54/2

54 divided by 2 is 27.

Hope it helped :>

Answer:

1500

Step-by-step explanation:

Step 1: Understand what the question is asking you

It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0

Step 2: Set t = 0

[tex]N = 1500(2^{0.18(0)} )[/tex]

Step 3: Solve for N

[tex]N = 1500(2^{0.18(0)} )[/tex]

[tex]N = 1500(2^{0} )[/tex]

[tex]N = 1500(1 )[/tex]

[tex]N = 1500[/tex]

Therefore when the initial amount of cells there in the culture is 1500

Answer:

$384

Step-by-step explanation:

Original price = $ 400

Increased price  = 20% of 400

                           = [tex]\frac{20}{100}[/tex] * 400

                           = $  80

Price after increase = 400 + 80 = $ 480

Decreased price  = 20% of 480

                             = [tex]\frac{20}{100}\\[/tex] * 480

                            = $ 96

Price after decreasing 20% = 480 - 96 = $ 384

Final price of the toy = $ 384

Answer:

z+9(8−x)+8(z+8)=

z+72-9x+8z+64=

9z-9x+136

(3−10)^2−(5−12)^2     parenthesis first

(-7)²-(-7)²=

49-(49)=49-49=0

2^2⋅4^3      exponent first

2*2*4*4*4

4*64=256  

Answer:

6/17

Step-by-step explanation:

Given the following :

Number of caramel = 12

Number of dark chocolate = 16

Number of mint = 7

probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.

After eating means : picking without replacement.

Probability = (Number of required outcomes / total possible outcomes)

Total number of items = ( 7 + 12 + 16) = 35

After first picking a dark chocolate and eating it, total number of items left in the jar becomes:

(35 - 1) = 34

Then,

P(picking a caramel) = (number of caramels / total number of items)

P(picking a caramel) = 12 / 34 = 6/17

Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]|x|=4[/tex]

Solve for x. Use the definition of absolute value:

[tex]|x|=4[/tex]

This means that:

[tex]x=4\text{ or } x=-4[/tex]

And... we're done :)

The answer is A.

Answer:

y- intercept (0, -1.2)

x- intercept (-3, 0)

Step-by-step explanation:

Line is given:

Y- intercept:

When x= 0

Point is (0, -1.2)

X- intercept:

When y = 0

Point is (-3, 0)

Answer:

Correct choices are a, b, e

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

So the answer choices:

a. AC = BC

b. AC = BD

C. CD = AB

d. ABCD is a square

e. ABD is an equilateral triangle

f. CD = AB + AB