Create a table of points from the equation f(x)=3x2−8x+2.

Answer:

[tex]96ft^{2}[/tex]

Step-by-step explanation:

Step 1: Find the area of the base

[tex]\frac{bh}{2} =\frac{(8)(6)}{2}=\frac{48}{2}=24ft^{2}[/tex]

Step 2: Find volume

[tex]=\frac{1}{3}(24)(12) \\=\frac{1}{3}(288)\\=96ft^{3}[/tex]

From 7:00 to 9:46 we see it passes 2 hours and 46 minutes.

But it started 6:58 . So we add +2 minutes. 46+2 = 48

2 hours and 48 minutes.

But we must find the second form.

1 hours = 60 minutes = 3600 seconds

So, 2 hours = 120 minutes = 7200 seconds.

and 1 minutes = 60 seconds

      48 minutes = 60 x 48 = 2880 seconds.

7200 + 2880 = 10080 seconds.

Answer:

It’s the estimate tidal to the nearest dollar is $38 so he can offered them

Step-by-step explanation:

Answer: option 2. x²-1

Step-by-step explanation:

concept to know: a²-b²=(a+b)(a-b)

------------

(a+b)(a-b)=a²+b²

(x+1)(x-1)=x²-1

Hope this helps!! :)

Please let me know if you have any question

Simplify

Let's simplify step-by-step.

x(5)−3(x−4)

Distribute:

=x(5)+(−3)(x)+(−3)(−4)

=5x+−3x+12

Combine Like Terms:

=5x+−3x+12

=(5x+−3x)+(12)

=2x+12

Answer:

=2x+12

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]x^2+x-42\\\\\text{The sum of the zeroes is -1=-7+6 and the product is -42=-7*6.}\\\\\text{So, we can factorise.}\\\\x^2+x-42\\\\=x^2+7x-6x-42\\\\=x(x+7)-6(x+7)\\\\=(x+7)(x-6)[/tex]

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

Answer:

Step-by-step explanation:

[tex] \sf{ {x}^{2} + x - 42}[/tex]

Here, we have to find two numbers which subtracts to 1 and multiplies to 42

⇒[tex] \sf{ {x}^{2} + (7 - 6)x - 42}[/tex]

⇒[tex] \sf{ {x}^{2} + 7x - 6x - 42}[/tex]

Factor out x from the expression

⇒[tex] \sf{x(x + 7) - 6x - 42}[/tex]

Factor out 6 from the expression

⇒[tex] \sf{x(x + 7) - 6(x + 7)}[/tex]

Factor out x + 7 from the expression

⇒[tex] \sf{(x + 7)(x - 6)}[/tex]

So, the possible dimensions of the rectangle are x + 7 and x - 6 .

Hope I helped!

Best regards!

Answer:

0.04%

Step-by-step explanation:

If there are 1000 penguins per square miles, the total number of penguins in a  10 square miles will be 1000*10 = 10,000 penguins/10square miles

Since a polar bear has a territory of 10 square miles, and can only eat four penguins within the 10square miles;

Percentage of penguins that the polar bear can eat will be expressed as;

number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100

Percentage of penguins that the polar bear can eat = 4/10,000 * 100%

Percentage of penguins that the polar bear can eat = 4/100%

Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%

Answer:

  35

Step-by-step explanation:

The law of sines tells us ...

  sin(C)/c = sin(A)/a

  a·sin(3A) = c·sin(A)

Using the identity sin(3x) = 3cos(x)·sin(x) -sin(x)^3 and sin(x)^2 +cos(x)^2 = 1, we can simplify this to ...

  sin(A)(4cos(A)^2 -1) = (c/a)sin(A)

  4cos(A)^2 = c/a +1 = (48+27)/27 = 75/27 = 25/9

  cos(A)^2 = 25/36

  cos(A) = 5/6

__

Now, the angle B will be the difference between 180° and the sum of the other two angles:

  B = 180° -A -3A = 180° -4A

Using appropriate trig identities, we can write ...

  sin(B) = 4cos(A)^3sin(A) -4sin(A)^3cos(A)

  = 4sin(A)cos(A)(cos(A)^2 -sin(A)^2)

  = 4sin(A)cos(A)(2cos(A)^2 -1)

Filling in our value for cos(A), this becomes ...

  sin(B) = 4sin(A)(5/6)(2(5/6)^2-1) = sin(A)(35/27)

__

The law of sines tells us ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 27(35/27)sin(A)/sin(A) = 35

The length of side b is 35 units.

Answer:

see below

Step-by-step explanation:

3)   8

4)  4

5)  14

6)  47

7)  18/5

8)  3/2

9)  255/4

10)  16

11)  21

12)  40

13)  73.5

14)  1

15)  25/2 or 12.5

16)  0

17)  48

18)   862

19)  9765625

20)  343

21)  8.1x10⁻³

22)  10.24

23)  1/156

24)  n⁷

25)  y⁶

26)  t⁴

27)  error is 0.4² should be 0.02²

28)  5⁴ = 5 x 5 x 5 x 5 = 625

29)  9

30)  100

31)  1

32)  1331

33)  125

34)  1024

35)  64

36)  1296

37)  1/16

38)  16/81

39)  27/125

40)  1/216

hope you enjoy the answers.

Answer:

thx

Step-by-step explanation:

Answer:

Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation

Step-by-step explanation:

Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation Assignment: 06.05 Data Observation hi

Answer:4th option

Step-by-step explanation:

Answer: D. Set B has a higher mean and a Higher standard deviation than Set A

Step-by-step explanation:

Set A and Set B has the same amount of data and all are identical except the maximum. In this scenario, the larger the numbers, the higher the mean. Since the maximum of Set B is greater that Set A, Set B has a higher, mean.

--------------------------------------------

The higher the standard deviation, the larger the gap between data sets. Since Set B has a larger maximum, this means it is further away from other data comparing to Set A, thus, Set B has a higher standard deviation

Answer:

The correct answer is $4.75/month.

Step-by-step explanation:

To find the unit price per month, or the amount that of the subscription that will be paid each month, we must divide the total price ($28.50) by the number of months covered (6 months).  

$28.50/6 = $4.75

Therefore, the unit price per month is $4.75/month.

Hope this helps!

x - the first number,

y - the second number

We have:

[tex]\begin{cases}y=5x\\y+21=2(x+21)\end{cases}\\\\\\\begin{cases}y=5x\\y+21=2x+42\end{cases}\\\\\\\begin{cases}y=5x\\5x+21=2x+42\end{cases}\\\\\\\begin{cases}y=5x\\3x=21\quad|:3\end{cases}\\\\\\\begin{cases}y=5x\\\boxed{x=7}\end{cases}\\\\y=5x\\\\y=5\cdot7\\\\\boxed{y=35}[/tex]

So answer is 7 and 35.

Answer:

[tex](3y+5)(9y^{2} -15y+25)[/tex]

Step-by-step explanation:

The bottom face is a circle of area pi*r^2 = pi*5^2 = 25pi square feet

The lateral surface area is pi*r*L = pi*5*13 = 65pi square feet

Those two areas combine to 25pi+65pi = 90pi square feet

The surface area of the cone is 65π square ft or 65π ft² option (D) 65π ft² is correct if the radius of the cone base is 5 ft and the slant height is 13 ft.

It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.

[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]

We have a cone shown in the picture.

The radius of the cone r = 5 ft

The slant height l = 13 ft

As we know, the lateral surface is given by:

S = πrl

Here,

S is the surface area

r is the radius of the cone base

l is the slant height.

S = π(5)(13)

S = 65π square ft

Thus, the surface area of the cone is 65π square ft or 65π ft² option (D) 65π ft² is correct if the radius of the cone base is 5 ft and the slant height is 13 ft.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ5

Answer:

1.47 is the answer

Answer:

1.4666667 rounded off to 1.47

Step-by-step explanation:

Answer:

Right angle triangle

Step-by-step explanation:

12m

15m

9m

Assume the Longest side=15m

Using Pythagoras theorem

c^2=a^2 + b^2

Where,

c=hypotenuse

a=adjacent

b=opposite

Let a=9m

b=12m

c^2=a^2 + b^2

=9^2 + 12^2

=81 + 144

c^2=225

c=√225

=15m

Therefore, the triangle XYZ is a right angle triangle

Answer:

T > (L + D)/B...multiply by B

TB > L + D ... subtract L

TB - L > D

can you plz mark me brainiest ;<

tank chu hope this helps TwT

Answer:

5 + 7

Step-by-step explanation:

3 + 2 = 5, 4 + 3 = 7

Answer:

Simplified expression: 5 + 7

Answer: 12

Step-by-step explanation:

Step-by-step explanation:

Let the number be x

The number is multiplied by 4

That's

4 × x = 4x

One is added to it

= 4x + 1

The whole result is squared

That's

Hope this helps you

Answer:

[tex]\huge \boxed{(4x+1)^2 }[/tex]

Step-by-step explanation:

[tex]\sf Let \ the \ number \ be \ x.[/tex]

[tex]\sf x \ is \ multiplied \ by \ 4.[/tex]

[tex]x \times 4[/tex]

[tex]\sf 1 \ is \ added.[/tex]

[tex]4x+1[/tex]

[tex]\sf The \ result \ is \ squared.[/tex]

[tex](4x+1)^2[/tex]

Answer: They purchased  12 uniforms

Step-by-step explanation:

If the equipment cost $612 in total and the uniforms cost $25 each and they spent a total for $912 then we could represent it by the equation  25x + 612 = 912   where x is the number of uniforms that the school purchase.

25x + 612 = 912   solve for x   by subtracting 612 from both sides

         612     612

25x = 300     divide both sides by 25

x = 12

Answer:

They determine how much to make by how much demand there is for said product from the consumer.

Step-by-step explanation:

Answer:

The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].

Step-by-step explanation:

Let be [tex]A =(7,3)[/tex], [tex]B = (-8,6)[/tex] and [tex]C = (0,-5)[/tex] the vertices of the original triangle, as well as [tex]\vec t = \left<-9, 5\right>[/tex], the coordinates of the vertices of the new triangle are, respectively:

[tex]A' = A + \vec t[/tex]

[tex]A' = (7,3)+(-9,5)[/tex]

[tex]A' = (7-9,3+5)[/tex]

[tex]A'=(-2,8)[/tex]

[tex]B' = B + \vec t[/tex]

[tex]B' = (-8,6)+(-9,5)[/tex]

[tex]B' = (-8-9,-9+5)[/tex]

[tex]B'=(-17,-4)[/tex]

[tex]C' = C + \vec t[/tex]

[tex]C' = (0,-5)+(-9,5)[/tex]

[tex]C' = (0-9,-5+5)[/tex]

[tex]C'=(-9,0)[/tex]

The coordinates of the vertices of [tex]\bigtriangleup A'B'C'[/tex] are [tex]A'=(-2,8)[/tex], [tex]B'=(-17,-4)[/tex] and [tex]C'=(-9,0)[/tex].

Answer:

18.72 cubic feet

Step-by-step explanation:

Volume of the aquarium = lwh

V = 5.2*1.8*2 = 18.72 cubic feet

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

Answer:

6.489× 10⁴

Step-by-step explanation:

(3×105)×(2×103)

315× 206

64,890

6.489×10⁴

Answer:

[tex]x\geq 5[/tex]

[tex]\{x\ |\ x \geq 5\}[/tex]   OR {5, 6, 7, 8, .....}

Step-by-step explanation:

First of all, let us have a look at the interval shown on the number line and try to understand it properly.

The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.

The number highlighted starts from 5 and there is filled circle at 5.

So, 5 is included in the interval.

The arrow is from 5 towards 8 and so on..

That means Numbers greater than or equal to 5 are represented by the interval.

So, writing as an inequality

Let [tex]x[/tex] represents one of the numbers.

Hence, inequality can be written as:

[tex]x\geq 5[/tex]

Using the set notation:

[tex]\{x\ |\ x \geq 5\}[/tex]

OR

{5, 6, 7, 8, .....}

Answer:

30 will be the ans to this question

Step-by-step explanation:

5^2 +5

=25+5

=30

Answer:

The translation S(x, y) for the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5)

Step-by-step explanation:

Identity transformation is the transformation that results in the copying of the source data to the destination data without change.

Given that T(x, y) = (x + 2, y + 5)

The identity transformation I = S(T(x, y)) that would allow a data (x, y) to remain the same at the destination after the transformation T(x, y) is given as follows;

Where S(x, y) = ( x - 2, y + 5), we have;

S(T(x, y)) = S(x + 2, y + 5) = (x + 2 - 2, y + 5 - 5) = (x, y)

Therefore the translation S(x, y) that would yield the identity transformation, I = ST(x, y) is S(x, y) = ( x - 2, y + 5).

Answer:

22 hours

Step-by-step explanation:

For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.

$350 + $35 = $385

Audrey makes $17.50 an hour.  Set up an equality to find the amount of hours she must work to pay for her car payment and gas.

17.50x > 385

(17.50x)/17.50 > 385/17.50

x > 22

Audrey must work at least 22 hours to pay for her car payment and gas.

Step-by-step explanation:

Here,

[tex]1. \: (2x + 2) + (3 - 5x)[/tex]

open brackets,

[tex]2x + 2 + 3 - 5x[/tex]

[tex] = - 3x + 5[/tex]

now,

[tex]2. \: (3x - {4x}^{4} ) + (2x + {5x}^{4} [/tex]

open brackets,

[tex] = 3x - {4x}^{4} + 2x + {5x}^{4} [/tex]

simplifying like terms,

[tex] = {x}^{4} + x[/tex]

Hope it helps...