There are two different paths Kate can take to school. One path is to kilometer
long. The other path is kilometer long.
100
Compare the lengths of the paths using <, =, or >
80

Answer:

In transformations a reflection across the x axis produces a mirror image.

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]

Answer:

[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

Answer:

333  cubic meters of water are used each day by one person

Step-by-step explanation:

Answer:

D. It is a function, but it is not one-to-one.

Step-by-step explanation:

A function means that each x value has only 1 y value assigned to it.

It is not one-to-one because the x value 0 does not have any y value assigned to it. This is called an asymptote.

Answer:

Convert to a decimal by dividing the numerator by the denominator.

$1.15 = Estimate.

pens per then .

Step-by-step explanation:

14 Divided 12.44

Answer:

Step-by-step explanation:

I THINK ITS THE 3ED TO THE RIGHT

Answer:

Answer is 6.8.

Hope it helps

Answer:

12

Step-by-step explanation:

the Andrew's going to be 12 because you have to

know all the sides of cube

Answer:

0.85 = 85%

Multiply 0.85 by 100 to get 85 percent

Step-by-step explanation:

Given,

D = 1/4

B = 2/3

to find the length of DB,

DB = 1/4+2/3

= 11/12

Answer:

14%

Step-by-step explanation:

To find the percentage change of any two amounts you just need this formula: (new - old) ÷ old

New price = $2.45

Old price = $2.15

2.45 = 2.15 = 0.3

0.3 ÷ 2.15 = 0.139534883721

This would make the percentage increase = %13.9534883721

But the question wants it rounded to the near tenth, so it's %14

Answer:

13.9535% increase, so yeah, like, 14%

Step-by-step explanation:

Answer:

{all numbers less than 2}

Step-by-step explanation:

x cannot be greater than 2, because it would go over 7

Answer:

{all numbers less than 2}

Step-by-step explanation:

x can only be 2 or lower to make the sentence true

Answer:

[tex] \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you[/tex]

Answer:

-4/3

Step-by-step explanation:

[tex]\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}[/tex]

Work Shown:

g(x) = -x+2

g(5) = -5+2 ... replace every x with 5

g(5) = -3

Answer:

g(5) = -3

Step-by-step explanation:

given:

[tex]g(x ) = - x + 2g(x) = - x + 2[/tex]

find:

[tex]g(5)[/tex]

replace x with 5

[tex]g(5) = - 5 + 2[/tex]

[tex]g(5) = - 3[/tex]

Answer:

1/3

Step-by-step explanation:

the formula of common ratio is given as

[tex]r = \frac{a2}{a1} [/tex]

a1= 27 ,a2=9

r= 9/27

r= 1/3

Answer:

49

Step-by-step explanation:

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X ∈ ∅

Answer:

C

Step-by-step explanation:

circumference= 2* pie*(26/2)

Answer:

[tex]\boxed {\boxed {\sf C. \$ 2612.48 }}[/tex]

Step-by-step explanation:

We are asked to find the cost of the fence a farmer needs to make a pen.

The fence is used to make a circle. We want to find the cost, but we first need to find how many feet of fence is needed. Essentially, we have to find the perimeter, but this is called the circumference because it is a circle. The formula for calculating circumference is:

[tex]c= \pi d[/tex]

The diameter (d) of the pen is 26 feet and we can use 3.14 for pi. Substitute these values into the formula.

[tex]c=3.14 * 26 \ ft[/tex]

Multiply.

[tex]c= 81.64 \ ft[/tex]

The farmer needs 81.64 feet of fencing. The cost of fencing is $32 per foot, so we multiply the cost by the feet needed.

[tex]\$32 / ft * 81.64 \ ft[/tex]

The units of feet cancel

[tex]\$ 32 * 81.64[/tex]

[tex]\$2612.48[/tex]

The cost of the fencing is $2612.48 and choice C is correct.

Answer: 17

Hello,

Step-by-step explanation:

n is divisible by 4.

n +1 is divisible by 5

n + 2 is divisible by 6

n <1000

[tex]\left\{\begin{array}{ccc}n&=&4*k_1\\n+1&=&5*k_2\\n+2&=&6*k_3\\\end{array}\right.\\\\4*k_1+1=5k_2\Longrightarrow\ k_2=\dfrac{4k_1+1}{5} \Longrightarrow\ k_1=1+5*t\ , k_2=1+4*t\\\\4*k_1+2=6k_3\Longrightarrow\ k_3=\dfrac{4(1+5t)+2}{6} \Longrightarrow\ k_3=1+\dfrac{10*t}{3} \\\\\Longrightarrow\ t=3z\\k_3=1+10z\\n+2=6(1+10z)\\n=4+60z\\\\1000 < 4+60z \Longrightarrow\ z \leq 16\\[/tex]

There are 17: from 4+0*60=4 to 4+16*60=964.

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

Answer:

856.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

is this involved with the pythagorean angles?\

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Answer:

2.56

Step-by-step explanation:

2 divided by 512

2 lol

Answer:

Q1. $2.56

Q2. 2 fluid ounces

Step-by-step explanation:

Q1. $5.12÷2=$2.56

Q2. 2 fluid ounces (inferred from qn)

Answers:

==============================================

Explanation:

The notation 5^2 is the same as writing [tex]5^2[/tex]

The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25

As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.

Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").

The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.

Answer:

-44f - 12

Step-by-step explanation:

Here's the method :

-10f - 6 (-9f + 2 )

-10f + 54f - 12

-44f - 12

Answer:

[tex]44f - 12[/tex]

Step-by-step explanation:

[tex] - 10f - 6( - 9f + 2)[/tex]

[tex] - 6( - 9 + 2)[/tex]

[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]

[tex]6 \times 9f - 6 \times 2[/tex]

[tex]54f - 6 \times 2[/tex]

[tex]54f - 12[/tex]

[tex] - 10f + 54f[/tex]

[tex]( - 10 + 54)f[/tex]

[tex] = 44f - 12[/tex]

Answer:

It is 4y = -3x + 9

Step-by-step explanation:

[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]

since it is parallel, its slope, m is -¾

[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]

at x-intercept, y is zero

[tex]2 = \frac{2}{3} x \\ x = 3[/tex]

therefore

[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]

equation is

[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]