Enter the correct answer in the box. What is the standard form of function

Answer:

(3+2x)4  = 16x4+96x3+216x2+216x+81

Step-by-step explanation:

Answer:

(3+2x)^4

(3)^4+4(3)³(2x)¹+6(3)²(2x)²+4(3)¹(2x)³+(2x)⁴

81+216x¹+216x²+96x³+16x⁴

Answer:

The greatest possible time taken by Maria is 97.4 seconds.

Step-by-step explanation:

The greatest possible time taken by Maria occurs when she moves at constant rate and is equal to the length of the road divided by the length of the road. That is to say:

[tex]t = \frac{\Delta s}{v}[/tex]

Where:

[tex]\Delta s[/tex] - Length of the road, measured in meters.

[tex]v[/tex] - Average speed, measured in meters per second.

Given that [tex]\Delta s = 380\,m[/tex] and [tex]v = 3.9\,\frac{m}{s}[/tex], the greatest possible time is:

[tex]t = \frac{380\,m}{3.9\,\frac{m}{s} }[/tex]

[tex]t = 97.4\,s[/tex]

The greatest possible time taken by Maria is 97.4 seconds.

Answer:

4 meters

Step-by-step explanation:

To do this you would need to know what the area of a rectangle is, it is base times width. So you already know the area so you would just divide it by 5 and you would get the width, which is 4 meters

Answer:

B. x^3 + 3x^2

Step-by-step explanation:

Volume of a rectangular prism=width * length * height

V=w*l*h

h=3 greater than the length of the base

h=x+3

Length of the base=x

Width=x

Substituting values into the formula

V=w*l*h

=(x)*(x)*(x+3)

Multiplying

=(x^2)(x+3)

=x^3 + 3x^2

Option B is the correct answer

The expression [tex]x^3 + 3x^2[/tex]  represents the volume of the prism, in cubic units.

We have given that the,

The height of a right rectangular prism is 3 units greater than the length of the base.

The edge length of the square base is x units.

[tex]Volume of a rectangular prism=width * length * height[/tex]

[tex]V=w*l*h[/tex] ......(1)

We have given that the

h=3 greater than the length of the base

and length of the base is x

Hence, [tex]h=x+3[/tex]

[tex]Length of the base=x[/tex]

[tex]Width=x[/tex]

Substituting values l h and w into the formula (1) we get,

[tex]V=w*l*h[/tex]

[tex]=(x)*(x)*(x+3)[/tex]

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

[tex]=x^3 + 3x^2[/tex]

Therefore the expression  

[tex]x^3 + 3x^2[/tex]  

represents the volume of the prism, in cubic units.

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Answer:

(1, 18)

Step-by-step explanation:

Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.

Set y equal to the new right side.

y = -3(x - 1)

Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 1

k = 18

Vertex = (h, k) / (1, 18)

Answer:

Domain > 0,  Range C(x) > 2

Step-by-step explanation:

x is the distance, distance is always large than 0 => x > 0

=> Domain x > 0

Multiply both sides by 0.75

=> 0.75x > 0

Add both sides by 2

=> 0.75x + 2 > 0 + 2

=> 0.75x + 2 > 2

=> Range C(x) = 0.75x + 2 > 2

Answer:

63.4°

Step-by-step explanation:

The following data were obtained from the question:

Opposite = 6 cm

Adjacent = 3 cm

Angle x =?

The value of angle x can be obtained as follow:

Tan x = Opposite/Adjacent

Tan x = 6/3

Tan x = 2

Take the inverse of Tan.

x = Tan¯¹ 2

x = 63.4°

Therefore, the value of angle x is 63.4°

Answer:

63.4°

Step-by-step explanation:

Answer:

x = - 1/18

Step-by-step explanation:

Move all terms not containing  x to the right side of the equation

Divide each term by 18 and simplify

The result can be shown in multiple forms

x = -1/18

Decimal form= -0.05

Answer: x=-1/18

Step-by-step explanation:

18x+18=17

you subtract 18 from both sides

18x=-1

then you divide by 18 on both sides

x=-1/18

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

[tex]A={1,2}[/tex]

[tex]B={1,2,3,4,5,6}[/tex]

[tex]A\cap B={1,2}[/tex]

Since the intersection of A and B is non-empty, therefore by conditional probability

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]

[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]

Therefore, the correct option is B.

Answer: not sure

Step-by-step explanation:

Answer:

the number is -6  (assuming "3 lots of" means 3 times)

Step-by-step explanation:

Let the number be x

1 less than a doubled number

2x-1

5 more than 3 lots of (times???) the number

3x+5

Solve for x

2x-1 = 3x + 5

-x = 5+1

x = -6

Answer:

Step-by-step explanation:

Since we're given a time at which the height is maximum, we can use a cosine function for the model.

The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.

The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.

The period is given as 3 seconds, and the right shift is given as 1.31 seconds.

This gives us enough information to write the function as ...

  H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)

  H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm

Answer:

120

Step-by-step explanation:

Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!

Answer:

2x2x7

Step-by-step explanation:

Answer:

c     15

Step-by-step explanation:

Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.

We can use the Pythagoren theorem.

a^2 + b^2 = c^2

x^2 + 20^2 = (x + 10)^2

x^2 + 400 = (x + 10)(x + 10)

x^2 + 400 = x^2 + 10x + 10x + 100

400 = 20x + 100

20x = 300

x = 15

Answer: 1 (-4)

Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.

Answer:

[tex] (0, 8\sqrt{3}) [/tex]  and  [tex] (0, -8\sqrt{3}) [/tex] are both 14 units from points (-2, 0) and (2, 0).

Step-by-step explanation:

distance formula

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

We want the distance, d, from points (-2, 0) and (2, 0) to be 14.

Point (-2, 0):

[tex] 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} [/tex]

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

Point (2, 0):

[tex] 14 = \sqrt{(x - 2)^2 + (y - 0)^2} [/tex]

[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]

We have a system of equations:

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]

Since the right sides of both equations are equal, we set the left sides equal.

[tex] \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} [/tex]

Square both sides:

[tex] (x + 2)^2 + y^2 = (x - 2)^2 + y^2 [/tex]

Square the binomials and combine like terms.

[tex] x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 [/tex]

[tex] 4x = -4x [/tex]

[tex] 8x = 0 [/tex]

[tex] x = 0 [/tex]

Now we substitute x = 0 in the first equation of the system of equations:

[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{(0 + 2)^2 + y^2} = 14 [/tex]

[tex] \sqrt{4 + y^2} = 14 [/tex]

Square both sides.

[tex] y^2 + 4 = 196 [/tex]

[tex] y^2 = 192 [/tex]

[tex] y = \pm \sqrt{192} [/tex]

[tex] y = \pm \sqrt{64 \times 3} [/tex]

[tex] y = \pm 8\sqrt{3} [/tex]

The points are:

[tex] (0, 8\sqrt{3}) [/tex]  and  [tex] (0, -8\sqrt{3}) [/tex]

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Answer:

a. 24

b.600

c.36

d. No

Step-by-step explanation:

a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.

b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.

c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36

d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.

Answer:

see below

Step-by-step explanation:

x ≥11

Since there is an equals sign we have a closed circle at 11

X is greater so the line goes to the left

Answer: The second graph

Step-by-step explanation: X must be greater than 11 and the filled in circle means it could also be 11.

Answer:

[tex]1\frac{3}{20}[/tex]

Step-by-step explanation:

'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with  '[tex]\frac{3}{20}[/tex]'  as the remainder, so  '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.  

Put them together, and you get: [tex]1\frac{3}{20}[/tex]

The fraction is already in it's simplest form.

Brainilest Appreciated.

The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

We have to given that,

A number is,

⇒ 23 / 20

We can divide it for the mixed fraction as,

⇒ 23 / 20

20 ) 23 ( 1

    - 20

  --------------

          3

Therefore, It can be written as,

⇒ 23 / 20 = 1 3/20

Thus, The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

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Complete question :

The table shows the total number of student applications to universities in a particular state over a period of 12 semesters. States base their decisions on data like this. Suppose they decide that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?

Semester Student Applications (in thousands)

1 106

2 137

3 285

4 120

5 202

6 195

7 327

8 139

9 307

10 318

11 212

12 217

Answer:

42%

Step-by-step explanation:

Given the above data in thousand :

Proportion of students

1 - - - - 106, 000

2 - - - -137, 000

3 - - - - 285, 000

4 - - - 120, 000

5 - - - 202, 000

6 - - - 195, 000

7 - - - 327, 000

8 - - - 139, 000

9 - - - 307, 000

10 - - - 318, 000

11 - - -212, 000

12 - - - 217, 000

Therefore, proportion of semesters with student application below 200,000

= (Number of semesters below 200,000 / total number of semesters)

Semesters below 200,000 :

(106000, 137000, 120000, 195000, 139000) = 5

(5 / 12) = 0.416666

= 0.42

In terms of percentage :

0.42 * 100 = 42%

Answer:

2.5 m/s^2

Step-by-step explanation:

Answer:

2.5 m/s²

Step-by-step explanation:

First, convert to SI units.

90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s

a = Δv / Δt

a = (25 m/s − 0 m/s) / 10 s

a = 2.5 m/s²

Answer:

dependent, 1/11

Step-by-step explanation:

the probability of picking a white ribbon at first is 1/3

the probability of picking a white ribbon next is 3/11

1/3 * 3/11 = 3/33 = 1/11

it is dependent because picking the first ribbon affects picking the second.

The y-intercept is [tex](0,\frac{6}{2})=(0,3)[/tex] and there is no x-intercept since the equality can simplified to the point of obtaining a constant function [tex]y=3[/tex] which does not depend on x.

Hope this helps.

Answer:

(2,1)

Step-by-step explanation:

Well first we single out y or x in one of the equations,

we’ll use 2x + y = 5 and single out y.

2x + y = 5

-2x to both sides

y = -2x + 5

So we can plug in -2x + 5 into y in 2x - 2y = 2.

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

2x + 4x - 10 = 2

combine like terms,

6x - 10 = 2

Communicarice property

+10 to both sides

6x = 12

divide 6 to both sides

x = 2

If x is 2 we can plug 2 in for x in 2x + y = 5.

2(2) + y = 5

4 + y = 5

-4 to both sides

y = 1

(2,1)

Thus,

the solution is (2,1).

Hope this helps :)

v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth

Answer:

Step-by-step explanation:

The values ​​of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.

Answer:

0.375

Hope this helps....

Have a nice day!!!!

Answer:

3/8

Step-by-step explanation:

Hey there!

[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]

[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]

= 3/8

Hope this helps :)