Evaluate: 3-3 =
A. 1/9 B. -27 C. 1/27 D. -9

Answer:

Lines that are parallel have the same gradient.

Since the line is y=-5/6x-4,the gradient of the line parallel to this line is also -5/6.

So the equation of the line parallel to y=-5/6x-4 is y-(-2)=-5/6(x-(-6))--->y=-5/6x-7.

Lines that are perpendicular fulfill the requirement: gradient 1×gradient 2=-1 . Then once you find the gradient of the line, you can find the equation of the line.

Answer:

19/3

Step-by-step explanation:

Changing 6 1/3 as an improper fraction is 19/3

An improper fraction refers to a fraction whereby the numerator i.e the number at the top is more than the denominator which is the number down.

Changing 6 1/3 to an improper fraction will be:

= [(3 × 6) + 1]/3

= (18 + 2)/3

= 19/3

In conclusion, changing 6 1/3 as an improper fraction is 19/3.

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Answer:

The coordinates of G' are [tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex].

Step-by-step explanation:

From Linear Algebra, we define the dilation of point G by the following expression:

[tex]G'(x,y) = O(x,y) + k\cdot [G(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation, dimensionless.

[tex]k[/tex] - Scale factor, dimensionless.

[tex]G(x,y)[/tex] - Coordinates of point G, dimensionless.

[tex]G'(x,y)[/tex] - Coordinates of point G', dimensionless.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]k = \frac{1}{3}[/tex], [tex]G(x,y) = (-2,4)[/tex], then the point G' is:

[tex]G'(x,y) = (0,0) + \frac{1}{3}\cdot [(-2,4)-(0,0)][/tex]

[tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex]

The coordinates of G' are [tex]G'(x,y) = \left(-\frac{2}{3}, \frac{4}{3} \right)[/tex].

Answer:

d

Step-by-step explanation:

Answer:

The probability that the next person asked has two pets is 0.176

Step-by-step explanation:

The given parameters are;

The frequency distribution of the number of pets owned is presented as follows;

Number of Times    [tex]{}[/tex]    Frequency  [tex]{}[/tex]      

None                          [tex]{}[/tex]   354

One                          [tex]{}[/tex]     981

Two                          [tex]{}[/tex]     352

Three                          [tex]{}[/tex]  200

Four                           [tex]{}[/tex]    113

The probability that the next person asked has two pets = Proportion of the sample that own two pets = 352/(354 + 981 + 352 + 200 + 113) = 0.176

Therefore, the probability that the next person asked has two pets = 0.176

Answer:

x=3±√7

Step-by-step explanation:

The roots (zeros) are the

x

values where the graph intersects the x-axis. To find the roots (zeros), replace

y

with

0

and solve for

x

.

Answer:

These are no solution

(4, -5)

(-10, -20)

Step-by-step explanation:

These are solutions

(-5,0)

(8,0)  on the line but still a solution

(2.5, 8)

(0,-4)  on the line but still a solution

(0, -1)

Answer:

( 2, 7)

Step-by-step explanation:

4-(-3)= 2

(-4)-(-6)= 7

Answer:

127

Step-by-step explanation:

so h(g(-5)) means that solve the function in a specific way. This means that solve for function h but the x is the answer to function g when x is -5. So first what u do is solve for g. Plug -5 in so u get -5-3 which is -8. Then u plug in -8 to function h. U have 2(-8)^2-1. Then u solve the square which is 64. Then u multiply that by 2 to get 128. Then u minus one to get ure final answer of 127. Hope this helps :D

Answer:

8 miles

Step-by-step explanation:

3+2x+1=20

2x+4=20

2x=16

x=8

8 miles.

Hope this helps!

Merry Christmas!

Answer:

8 miles

Step-by-step explanation:

The equation for this relationship is:

3+2x=y (x is no. of miles and y is the total cost without tips of course)

The total cost without the tip is 20-1=19.

Plug 19 in for y:

3+2x=19

2x=16

x=8

Hope this helps!

[tex]y = - 3x^{2} + 18x + 10 \\ \frac{d}{dx}( - 3x^{2} + 18x + 10) \\ - 6x + 18 = 0 \\ - 6x = - 18 \\ x = 3[/tex]

The axis of symmetry for parabola is x = 3.

Using derivative to solve for axis od symmetry is easier.

Answer:

[tex]\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9[/tex]

Step-by-step explanation:

Given

[tex]\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}[/tex]

Required

Determine the equivalent expression

[tex]\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}[/tex]

Simplify the first fraction

[tex]\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}[/tex]

Apply law of indices on the first fraction;

[tex]5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}[/tex]

[tex]5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}[/tex]

[tex]\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}[/tex]

Apply law of indices:

[tex]5q^5w^4*4\left(q^6\right)^2 * w^{5}[/tex]

Evaluate the bracket

[tex]5q^5w^4*4 * q^{12} * w^{5}[/tex]

Collect Like Terms

[tex]5*4q^5* q^{12}*w^4 * w^{5}[/tex]

[tex]20q^5* q^{12}*w^4 * w^{5}[/tex]

[tex]20q^{5+12}*w^{4+5}[/tex]

[tex]20q^{17}w^9[/tex]

Hence:

[tex]\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9[/tex]

Answer:

If 6 machines make 6 wheels in 6 minutes, that means each of the machines must make 1  wheel in 6 minutes.  If you now consider 30 machines, and we know each of these 30 machines makes 1 wheel in  6 minutes, that means all 30 machines will make 30 wheels in 6 minutes.

Step-by-step explanation:

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

Answer:

y = -2x + 5

Step-by-step explanation: BABABOOEY

Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b

M is your slope

B is your Y intercept

Plug in the number and poof answer : )

Answer:

294 or 6

Step-by-step explanation:

if he has 7 bags and 42 marbles in each then the answer will be 294

but if ur tryna say that there are a total of 42 marbles combined, then there are 6 marbles in each bag

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5                        Subtract 8 from both sides

8-8 - x = -5-8                  Combine

-x = - 13                           Multiply by -1

x = 13

Answer:

7,173

x = 7

Step-by-step explanation:

Within the question it gives two examples.

x = 0 corresponds to 2000

x = 1 corresponds to 2001

If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that

x = 7

f (x) = -327 (7) + 9462

f (x) = -2289 + 9462 = 7173

Answer: d/dx [sin(√ex + a /2)]

Answer:

C.

Warning! I might be wrong as I'm not a math teacher. Always double check your answer!

Cheers! :)

Answer:

The answer is correct x =6.8, if she made an error, it might have been the steps she took.

Step-by-step explanation:

5.4 + x = 12.2

subtract 5.4 from both sides to put x terms on the left hand side, numerical number terms on the right hand side

5.4 - 5.4 + x = 12.2 - 5.4

x = 6.8

Step-by-step explanation:

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1

We use the trigonometric ratios or angle sum property to find the missing angle of theta in a right triangle.

To solve for a missing angle of theta in a right triangle, you can use the trigonometric ratios: sine, cosine, and tangent.

These ratios relate the angles of a right triangle to the lengths of its sides.

Here are the steps to solve for a missing angle theta in a right triangle:

Identify the given information: Determine which sides or angles are provided in the problem.

Determine the trigonometric ratio to use: Decide which trigonometric ratio (sine, cosine, or tangent) is appropriate for the given information.

Set up the equation: Write the trigonometric ratio using the given information and the unknown angle theta.

Solve the equation: Use algebraic methods to solve the equation for theta. This may involve taking the inverse of the trigonometric ratio.

Calculate the value of theta: Plug in the values from the given information into the equation and solve for theta.

Or we can use the angle sum property if two angles are given.

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Answer:

A

Step-by-step explanation:

The circumference formula is C = 2*pi*r, and we have r = 6. So C = 2*pi*6 which means that

C = 12pi.

The area can be found with the formula: A = pi*r^2, and we have r = 6. So, A = pi*36 or 36pi. So the answer would be A where Circumference = 12pi and Area = 36pi

Answer: 40

Step-by-step explanation:

Number of DVDs = 160

Thrillers = 35%

Comedies = 2/5 = 40%

Science fiction = 100 - (35 + 40) = 100 - 75 = 25%

The number of science fiction DVDs that Rani has will be:

= 25% × 160

= 25/100 × 160

= 40

Answer:

V=lwh=5 x 9 x 3=135cm+33=4

Step-by-step explanation:

Answer:

17) 12 feet, 28 feet

18) x + 3x =16

Answer:

It's exponential growth.

Step-by-step explanation:

b/c any value of b that's greater than 1 is an exponential growth function, and anything that's 0<b<1 or if b<0, the function would be an exponential decay.

Hi there!

[tex]\large\boxed{ \lim_{x \to 0} x^{2} - 2= -2}[/tex]

In direct substitution, simply plug in the x-value given to solve for the limit as x approaches zero:

[tex]\lim_{x \to 0} x^{2} - 2 \\\\ \lim_{x \to 0} (0)^{2} - 2\\\\ \lim_{x \to 0} x^{2} - 2= -2[/tex]