Write an algebraic expression for the word expression.

the sum of 3 and a number x

The expression is .

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

The value of the x should be more than or equal to 5.69. Then the correct option is A.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

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Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Answer:

The correct answer is:

The data are continuous because the data can take on any value in an interval. (C)

Step-by-step explanation:

Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete

Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.

Answer:

Top left

Step-by-step explanation:

Answer:

see attached image

Step-by-step explanation:

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

To know more about area of a graph click on,

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Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

ayo the answer is 18.

Answer:

3+6+9

9+9= 18

Therefore 3+6+9=18

Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.

Step-by-step explanation:

Answer:

2x-3+8v

Step-by-step explanation:

Answer:

Assuming we are simplifying, it should be 2x+5

Step-by-step explanation:

Combine like terms.

8-3 is 5

4x-2x is 2x

So yeah

Answer:

Below

Step-by-step explanation:

1.  50

2.  40

3.  55

4.  39

5.  40

6.  92

Answer:

1. 60 deg

2. 40 deg

3. 65 deg

4. 39 deg

5. 60 deg

6. 88 deg

Step-by-step explanation:

hope this helps

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

Answer:

-2

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

You can also solve this algebraically:

–5 – (–3)

–5 + 3

–2

Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:

–2 (–1)

2 units

Or, you can use a number line. I have screenshotted a number line attached below for you.

Hopefully this helps!

Answer:

(9, 1)

Step-by-step explanation:

Given the coordinate of one corner of the house has been drawn at (6, 3), if the drawing is translated two units down and three units to the right

two units down = -2 (along the negative y axis)

three units to the right = +3 (towards the positive x-axis)

The coordinate used to translate the model of the house (x, y) is (3, -2)

Adding both coordinates:

= (x, y) + (6, 3)

= (x+6, y+3)

Substitute the values of the translated coordinates

= (3+6, -2+3)

= (9, 1)

The translation should be written as (3+6, -2+3) which is equivalent to (9, 1)

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

Answer:

Bbbbbbbbbbbbbbbbbbbbbb

780 is the answer. Hope this helps :)

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

Answer:

3/5 lmk if you need the work

Step-by-step explanation:

Answer:

is there any more info?

Step-by-step explanation:

I don't see any info in order for me to solve this

Step-by-step explanation:

Hey there!

Given;

The equations are;

y = 8x...........(i)

y = 2x-12..........(ii)

Now;

Substituting the value of "y" from equation (i).

8x = 2x-12

8x-2x = -12

6x = -12

X = -12/6

Therefore, X= -2.

Now; Substituting the value of "y" in equation (i)

y = 8*-2

y = -16

Therefore, y= -16.

Therefore, x= -2 and y= -16.

Check:

y = 2x

-16= 8*-2

-16 = -16 (true).

Hope it helps...

Answer: I hope this is what you are looking for

Step-by-step explanation:

so the answer is

x=y +v/b

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

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Answer: 0.0036173633440514 = [tex]\frac{9}{2,488}[/tex]

Answer:

00.0036173633

Step-by-step explanation:

use calculator

Answer:

33 is 33 % of 100 and 1/3 is 33.33 %

Step-by-step explanation:

Hope this helps!!

Answer:

33.3333333333333.........%

Step-by-step explanation:

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

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

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!