Solve the formula C = rd for d.<br> O A. de C<br> O<br> T<br> OB. d= C-1<br> O C. d=1<br> O D. d= TC

Which ordered pairs are on the line with equation y+3.5=0.75(x−2)?

andrey2020 [161]

Given y + 3.5 = 0.75(x - 2)

when x = 4,

y + 3.5 = 0.75(4 - 2) = 0.75(2) = 1.5
y = 1.5 - 3.5 = -2.

Thus, the ordered pair (4, -2) is the line with equation y + 3.5 = 0.75(x - 2)

When x = -4,

y + 3.5 = 0.75(-4 - 2) = 0.75(-6) = -4.5
y = -4.5 - 3.5 = -8

Thus, the ordered pair (-4, -8) is the line with equation y + 3.5 = 0.75(x - 2)

When x = 1,

y + 3.5 = 0.75(1 - 2) = 0.75(-1) = -0.75
y = -0.75 - 3.5 = -4.25

Thus, the ordered pair (1, 1.75) is not on the line with equation y + 3.5 = 0.75(x - 2)

When x = 7,

y + 3.5 = 0.75(7 - 2) = 0.75(5) = 3.75
y = 3.75 - 3.5 = 0.25

Thus, the ordered pair (7, 0.25) is not on the line with equation y + 3.5 = 0.75(x - 2)

8 0

3 years ago

Read 2 more answers

If the basic measuring unit in base-7 is 49 circles, what does the measuring unit of size .001seven look like

Serjik [45]

The measuring unit is the standard unit of a quantity

The measuring unit of size 0.001 is represented by one millionth circle

<h3>How to determine the unit of base 0.001</h3>

The basic measuring unit in base 7 is given as:

49 circles

The above can be represented as:

Base 7 = 49 circles

Represent the base with n.

So, we have the following rule

$Circle = n^2$

For measuring unit 0.001, we have:

$Circle = 0.001^2$

Evaluate the square

$Circle = 0.000001$

This means that,

The measuring unit of size 0.001 is represented by one millionth circle

Read more about measuring units at:

brainly.com/question/16393390

8 0

3 years ago

(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

OR

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight

vekshin1

Using the relation between velocity, distance and time, it is found that:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, hence:

$v = \frac{d}{t}$

Flying with the wind, in which $v = v_b + v_w$ the 48-mile trip took 3 hours, hence:

$v = \frac{d}{t}$

$v_b + v_w = \frac{48}{3}$

$v_b + v_w = 16$

Her flight home against the wind took 4 fours, hence:

$v = \frac{d}{t}$

$v_b - v_w = \frac{48}{4}$

$v_b - v_w = 12$

Adding the two equations:

$2v_b = 28$

$v_b = 14$

$v_b + v_w = 16 \rightarrow v_w = 2$

Hence:

The speed of the wind is of 2 mph.

The speed of the broom is of 14 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0

3 years ago

A company that relies on Internet-based advertising linked to key age demographics wants to understand the relationship between

MA_775_DIABLO [31]

Answer:

a)D. Since the company wants to predict revenue from advertising expenditure, the explanatory variable is advertising expenditure.

b)B. Since the company wants to predict revenue from advertising expenditure, the response variable is revenue

c)C. Since advertising expenditure is the explanatory variable, it should be plotted on the x-axis.

Step-by-step explanation:

a) The explanatory variable is the independent variable (the difference between explanatory an indepent is that independent means that it doesn´t depend of any variable at all and in the explanatory variable we are not 100% sure)

In this case, the company wants to know if the money they spend in advertising is related to the company's revenue. So , in this case the explanatory variablle is the money they spend in advetirsing while the dependent variable is the revenue ( that will increase or decrease depending on the money spent)

b) The response variable ist he dependent variable so like it was explained in a) is revenue.

c) In a cartesian graphic on the x axis we always draw the independent variable, so in this case we will draw the money spent in advertising.

7 0

3 years ago

Solve the formula C = rd for d. O A. de C O T OB. d= C-1 O C. d=1 O D. d= TC