Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?

Answer:

please mark as brilliant thanks for the above

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

Answer:

First Part;

As the temperature in the city increases, the number of cups of hot chocolate sold decreases

Second Part;

The approximate value of the slope in number of cups sold per change in temperature is -0.12222

The approximate value of the y-intercept is 20.944 degrees temperature

Step-by-step explanation:

Question;

First Part

What is the relationship between temperature in the city and the number of cups of hot chocolate sold, using your own words

Second Part

How can the line of best fit be made. Give the approximate values of the slope and the y-intercept of the line of best fit

Explanation

The data points are presented in the following table;

[tex]\begin{array}{lcl}x&&y\\20&&20\\30&&18\\40&&20\\35&&15\\50&&20\\45&&20\\60&&14\\65&&18\\80&&10\\70&&8\\40&&2\end{array}[/tex]

A scatter plot is formed from the given data using MS Excel

First part;

From the values of the number of cups sold, y, and the temperature at which they are sold, x, there is correlation between the x and y values, such that as the temperature increases, the number of cups sold decreases, the becomes more rapid as the temperature increases past 50, such that the reason for taking the hot chocolate decreases with increasing temperature

Second Part;

The line of best fit can be found using the least squares regression formula to draw a straight line from the regression equation as follows;

y = a + b·x

[tex]b = \dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }[/tex]

a = [tex]\bar y[/tex] - b·[tex]\bar x[/tex]

Where;

b = The slope

a = The y-intercept

From MS Excel, we have;

[tex]\bar y[/tex] = 15, [tex]\bar x[/tex] = 48.63636

[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) = -410[/tex]

[tex]\sum \left(x_i - \bar x\right )^2 = 3354.545[/tex]

Therefore;

[tex]b = \dfrac{-410}{3354.545} = -0.12222[/tex]

The approximate value of the slope, b = -0.12222 (number of cups sold per unit change in temperature)

a = 15 - (-0.12222)×48.63636 ≈ 20.944

The approximate value of the y-intercept, a = 20.944 (in degrees of temperature).

3p²q - 6 pq²

3pq (p - 2q )

I think this is the solution

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.

Answer:

h = 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

Given

h(x) = x² - 8x + 14

Express h(x) in vertex form by using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

h(x) = x² + 2(- 4)x + 16 - 16 + 14

      = (x - 4)² - 2

Compare to h(x) = (x - h)² + k , then

h = 4

Answer:

85%

Step-by-step explanation:

First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.

17 +3 = 20

120/20 = 6

Each individual ratio is equal to 6.

17 * 6 = 102

3 * 6 = 18

102/120 = percentage of who passed

= 0.85

85 percent of learners passed.

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Answer:

15m

Step-by-step explanation:

did the math

Answer:

140 degrees

Step-by-step explanation:

The center angle of a semi circumference is 180 degrees

BC 180 - 20 - 20 = 180 - 40 = 140 degrees

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

[tex]4p(y-k)=(x-h)^2[/tex]

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

5 + ( 2 × 42 ) =

5 + 84 =

89

.....

.....

Answer:

89

Step-by-step explanation:

So we will follow PEMDAS in this exact order:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

5 + 2 • 42 Equation

5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication

5 + 84 We have no division so we move on to addition

= 89 We have no subtraction so this is our final answer

Answer:

The numbers are 3 and 5

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3^2=9

5^2=25

25+9=34

3*5=15

Answer:

64

Step-by-step explanation:

(a+b)²= a²+b²+2ab = 34+(2×15)= 64

Answer:

0.7

Step-by-step explanation:

7/9 = 0.7

Answer:

0.7 (with the repeating sign on the 7)

Step-by-step explanation:

Answer:

x ≈ 27.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

Answer:

Step-by-step explanation:

3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)

11x + 8 = 140

x = 140 - 8

x = 132 /11

x = 12

angle S = 3x + 4

=3*12 + 4

=36 + 4

=40 degree

89 + 5x - 7 = 14x + 1

82 + 5x = 14x + 1

82 - 1 = 14x - 5x

81 = 9x

81/9 = x

9 = x

angle H = 5x - 7

=5*9 - 7

=45 - 7

=38 degree

Answer:

15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)

      140+<SRT=180

       <SRT=40

NOW

<SRT+<STR+<RST=180

40+8X+4+3X+4=180

11X=132

X=12

SUBSTITUTING THE VALUE OF X IN <RST

3*12+4=40

HENCE,<S=40 DEGREE

SIMILARLY,

16.

<H=38 DEGREE

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

Answer:

2nd option

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Simplifying the radical

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(5)(-1)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]

= 4 × [tex]\sqrt{5}[/tex] × i

= 4i[tex]\sqrt{5}[/tex]

Then

6 + [tex]\sqrt{-80}[/tex]

= 6 + 4i[tex]\sqrt{5}[/tex]

Answer:

36 Km

Step-by-step explanation:

Por favor, encontrar el archivo adjunto

Answer: 4.25

Step-by-step explanation: Conversion a mixed number 3 1/

8

to a improper fraction: 3 1/8 = 3 1/

8

= 3 · 8 + 1/

8

= 24 + 1/

8

= 25/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write a previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3/

8

to a improper fraction: 2 3/8 = 2 3/

8

= 2 · 8 + 3/

8

= 16 + 3/

8

= 19/

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/

8

= 16/

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25/

8

+ 19/

8

= 25 + 19/

8

= 44/

8

= 4 · 11/

4 · 2

= 11/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1/

4

to a improper fraction: 1 1/4 = 1 1/

4

= 1 · 4 + 1/

4

= 4 + 1/

4

= 5/

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/

4

= 4/

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5/

4

= 11/

2

- 5/

4

= 11 · 2/

2 · 2

- 5/

4

= 22/

4

- 5/

4

= 22 - 5/

4

= 17/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eleven halfs minus five quarters = seventeen quarters.

Answer:

less than is the correct answer