-1. 64 as a mixed number in simplest form

Answer:

Simplifying

x2 = 16x + -28

Reorder the terms:

x2 = -28 + 16x

Solving

x2 = -28 + 16x

Solving for variable 'x'.

Reorder the terms:

28 + -16x + x2 = -28 + 16x + 28 + -16x

Reorder the terms:

28 + -16x + x2 = -28 + 28 + 16x + -16x

Combine like terms: -28 + 28 = 0

28 + -16x + x2 = 0 + 16x + -16x

28 + -16x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0

28 + -16x + x2 = 0

Factor a trinomial.

(2 + -1x)(14 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying

14 + -1x = 0

Solving

14 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 0 + -14

-1x = 0 + -14

Combine like terms: 0 + -14 = -14

-1x = -14

Divide each side by '-1'.

x = 14

Simplifying

x = 14

Solution

x = {2, 14}

Step-by-step explanation:

I type fast lol

Answer:

C

Step-by-step explanation:

We can solve this by analyzing if the event causes the result. If it does not, then there is correlation but not necessarily causation

A. Event: Rainfall. Result: Water level rises

Does rainfall cause an increase in water level? Yes, so this is incorrect

B. Event: Temperature increase. Result: Ice melting

Does an increase in temperature cause ice to melt faster? Yes, so this is incorrect

C. Event: More people have vision loss. Result: Hearing aids sales increase

Does more people having vision loss cause hearing aids sales to increase? No, vision loss does not cause a need for hearing aids -- hearing loss would, but vision loss does not. This is correct

D. Event: A student makes fewer mistakes. Result: A better grade

Do fewer mistakes cause better grades? Yes, so this is incorrect

Answer:

$40.5.

Step-by-step explanation:

if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.

Answer: Im pretty sure its 96.012

Answer:

315 feet in meters is 96

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

Answer:

The awnser is March 15th because every 12 days they are off at the same time

Step-by-step explanation:

The area of the smaller sector or minor sector is  125.66 yd².

The area of the larger sector or major sector is  326.73 yd².

The areas of the minor and major sectors is calculated by applying the following formulas follow;

Area of sector is given as;

A = (θ/360) x πr²

where;

The area of the smaller sector or minor sector is calculated as follows;

A = ( 100 / 360 ) x π ( 12 yd)²

A = 125.66 yd²

The area of the larger sector or major sector is calculated as follows;

θ = 360 - 100

θ = 260⁰

A =  ( 260 / 360 ) x π ( 12 yd)²

A = 326.73 yd²

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A) The derivative of function k(x), i.e.,  k'(x) is equals to \(\frac{(-60x^{2} + 114x + 16)}{(-3x^{2} -4x + 3)^{2} }\)

B) The values of x where the tangent line of the function f(x)=15x−16x is parallel to the line y= 19x−2 are x= 2, -2.

C) The derivative of function h(x), i.e., h'(x) is equals to the\(\frac{ [(sin(x)(4x^{2} +2x-3) - (8x + 2)(-cos(x))]}{(4x^{2} +2x-3)^{2} .}\)

D) The value of \(\frac{d^{64} }{dx^{64} } (-7sinx)\) is -7sin(x) .

We have, k(x) = f(x)g(x)/h(x) and if f(x)

= −3x + 4,g(x) = -x + 4, and h(x)= −3x² −4x + 3, so, rewrite the function, k(x) =\(\frac{ (-3x + 4)(-x+ 4)}{(-3x^{2} -4x + 3)}\)

A) derivative of function, k(x)  : using the division rule of differentiation derivative of the k(x) with respect to x

k'(x) = \(\frac{[f'(x)h(x)g'(x) - h'(x)g(x)f(x)]}{(h(x)^{2} }\) --(1)

Now, differentiating each function w.r.t x   f'(x) = -3 , g'(x) = -1 , h'(x) = -6x -4

so, k'(x) \(=\)\(\frac{ [-3(-3x^{2} −4x + 3)(-1) - (-6x- 4 )(-3x + 4)(-x + 4)]}{(-3x^{2} -4x + 3)^{2} }\)

= \(\frac{(-60x^{2} + 114x + 16)}{(-3x^{2} -4x + 3)^{2} }\)

Hence, we get the required value.

B) Now, we have to determine value of x for f(x)= \(15x-\)\(\frac{16}{x}\) , tangent line is parallel to the line y = 19x−2. Slope of line y = 19x - 2 is   \(\frac{dy}{dx}\) = \(m\) = 19

Tangent line of f(x) is parallel  to line y = 19x - 2.  So, both have same slope,f'(x) = 19

f'(x) =\(\frac{ 15x^{2} - 16}{x^{2} }\) \(=19\)

=> 15x² - 16 = 19x²

=> 19x² - 15x² = 16

=> 4x² = 16

=> x² = 4

=> x = ± 2

So, required value of x are 2 and -2.

C) h(x) = \(\frac{f(x)}{g(x)}\). Also, we have f(x)

= −cos(x) and g(x) = 4x²+2x−3,

Similarly to part(a), h'(x) =\(\frac{ [f'(x)g(x) - g'(x)f(x)]}{(g(x))^2 }\)

f'(x) = derivative of (-cos(x) ) = -(- sin(x))

= sin(x)

g'(x) = 8x + 2

h'(x) = \(\frac{ [(sin(x)(4x^{2} +2x-3) - (8x + 2)(-cos(x))]}{(4x^{2} +2x-3)^{2} .}\)

D) Here, calculate \(\frac{d^{64} }{dx^{64} } (-7sinx)\)

As we know, \(\frac{d( sin(x))}{dx}\)= cos(x)

and \(\frac{d^{2} (sin(x))}{dx^{2} }\) = - sinx

\(\frac{d^{64} (-7sin(x))}{dx^{64} }\) =\(\frac{-7d^{64}(sin(x)) }{dx^{64} }\)

= - 7(sinx)  = -7 sin(x)

Hence, required value is -7sin(x).

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Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

Answer:

C. Because (-3)^2 is NOT equal to -9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

√-9 is   3i.

Since there is a negative in the root, you can't have a regular number as the answer.

It askes why -3 is not the answer. Because -3 squared is 9, not -9.  

ANSWER

True

EXPLANATION

We have that:

f(6) = 60

That means whatever f(x) is, when we put the value of x to be 6, we will get f(x) = 60.

So, to see if f(x) = 14x - 24 is a possible function, we will replace x with 6 and find out if we get 60:

f(6) = 14(6) - 24

f(6) = 84 - 24

f(6) = 60

As we can see, we got that f(6) = 60, so, it is true that it is a possible function.

Answer:

-3x= 40-25

-3x=15

x=15÷3

x=5

A final score of more than 92 earns an E, that means

E>92

A final score of 60 or less earns a U:

The inequality to represent Satisfactory grade, could be:

The slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that slope, slope = m = \(\frac{y_2 - y_1}{x_2 - x_1}\)

For the pairs of points (-1/2 ,-1/2) and (-3,-4)

⇒ m = \(\frac{-4- (-1/2)}{-3 - (-1/2)}\)

⇒ m = \(\frac{-7/2}{-5/2 }\)

⇒ m = 7/5

⇒ m = 1.4

Hence, the slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

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Answer:

3$

Step-by-step explanation:

Your right it is easy 1.50 per pound 1 pound is 16 ounces so to make 32 ounces times it by 2 16 times 2 is 32 you will also times 1.50$ times 2

Answer:

189 diagonals have 21 sides.

it is called hectogan take care

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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Interval of increase: (-∞, -1) ∪ (3, +∞)

Interval of decrease: (-1, 3)

Given function is f(x) = x³ - 3x² - 9x + 4

Differentiating with respect to x,

f'(x) = 3x² - 6x - 9

f'(x) = 3 (x² - 2x - 3)

f'(x) = 3 (x² - 3x + x - 3)

f'(x) = 3 (x(x - 3) + (x - 3))

f'(x) = 3 (x - 3) (x + 1)

For increasing or decreasing,

f'(x) = 0

3 (x - 3) (x + 1) = 0

x = - 1, 3

In interval (-∞, -1 ), f'(x) = positive,

⇒ f(x) is increasing on (-∞, -1 ),

In interval (-1, 3), f'(x) = negative,

⇒ f(x) is decreasing on (-1, 3),

In interval (3, ∞), f'(x) = positive,

⇒ f(x) is increasing on (3, ∞),

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Given question is incomplete, the complete question is below

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 3x² - 9x + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)

in irder to solve this problem

we need to now that the probability to win one coin toss is 0.5

so other thing we need to know is

there all these possible scenarios that will happen

w= win

L=lose

WWW

WWL

WLW

LWW

LLW

LWL

LLW

LLL

as you can see only in 3 scenarios when the cougar win exactly 2

so the correct answer is B

Answer:

plz can you take a pic and upload it for me to work it out

thanks

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (3, 6) into the partial equation

6 = 6 + c ⇒ c = 6 - 6 = 0

y = 2x ← equation of line

Answer:

center: (4,1/2)

radius: .5

Step-by-step explanation:

Group the x and y variables and move the constant (16) to the other side

(x²-8x)+(y²-y)= -16

We need to do something called "completing the square" we do this by taking the b term, dividing it by two and then squaring it

so for (x²-8x) we would take (8/2)² and then add that to both sides we have

(x²-8x+16)+(y²-y+.25)= -16+16+.25

next, we need to factor the x and y groups

(x-4)²+(y-.5)²= .25

Now that we have our equation we can easily find the center and radius

the center is just the constant's sign flipped or (4,.5) and the radius is the square root of the constant on the other side or √.25= .5

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

Substitute y for 0.

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

Substitute x for 0.

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

$3

the amount paid after adding tip is $21

the amount for the meal is $18

$21-$18=$3