y=4x+2 and y=-x-3. Graph

Answer:

dont know

Step-by-step explanation:

sorry

a) The value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) The rate of change of the angle with respect to x is -0.000308rad/m

Find the complete question and diagram attached

Form the right-angled triangle shown:

Adjacent side = x

Opposite side = 250m

angle of elevation  = [tex]\theta[/tex]

Using the SOH CAH TOA identity

[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]

Hence the value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) If x = 450m

[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]

Differentiate both sides with respect to "x"

[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]

Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:

[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]

Hence the rate of change of the angle with respect to x is -0.000308rad/m

Learn more here: https://brainly.com/question/15580615

Answer:

1. 2.5 steps per second

2. 1.25 steps

Step-by-step explanation:

9514 1404 393

Answer:

  -3 ≤ x ≤ 19/3

Step-by-step explanation:

This inequality can be resolved to a compound inequality:

  -7 ≤ (3x -5)/2 ≤ 7

Multiply all parts by 2.

  -14 ≤ 3x -5 ≤ 14

Add 5 to all parts.

  -9 ≤ 3x ≤ 19

Divide all parts by 3.

  -3 ≤ x ≤ 19/3

_____

Additional comment

If you subtract 7 from both sides of the given inequality, it becomes ...

  |(3x -5)/2| -7 ≤ 0

Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.

__

For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...

  |f(x)| < (some number) . . . . or ≤

If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:

  |f(x)| > g(x)   ⇒   f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0

Any solutions to these inequalities must respect their domains.

Answer:

jzjzhsjoqhzjs I I shxaoaas

Answer:

19.42 ft

Step-by-step explanation:

5ft + 5ft = 10ft

First let's find the circumference of the entire circle:

Circumference = 2πr

Circumference = 2π * 3

Circumference = 6π

Circumference = 6(3.14)

Circumference = 18.84

Now to find the perimeter of the semicircle, we divide that value by two:

6π = 18.84

(6π)/2 = (18.84)/2

3π = 9.42 ft

10 ft + 9.42 ft = 19.42 ft

-Chetan K

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

Answer:

4,287 x 6 = 25,722

.......

Answer:

Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.

Answer:

The answer is x + 12

Step-by-step explanation:

The expression for x increased by 12

i.e.,

x + 12

Thus, The answer is x + 12

-TheUnknownScientist 72

Answer:

x + 12

Step-by-step explanation:

To answer x increased by 12, we know that you are adding 12 to x. So that means the equation is x + 12

Answer:

24,000

Step-by-step explanation:

615 ≈ 600

38 ≈ 40

600 × 40 = 24,000

Therefore, 615 × 38 ≈ 24,000

Answer:

answer is y=1x/6 +2. or y= X+ 12/6

Step-by-step explanation:

y-3 = 1/6(x-6)

y-3= 1x/6 -1

y = 1x/6 -1+3

y. = 1x/6 +2. or y= X+ 12/6

The statement to be converted is "If Snoopy did not dance a jig, then Charles Schultz wrote a Sonata.

The converse is: If Charles Schultz did not write a Sonata, then Snoopy did dance a jig.

A converse statement is arrived at when you have swapped the hypothesis and the conclusion.

Another example that helps buttress this is given below:

Original Statement: If the car braked, then the driver was sleeping.

Converse Statement: The driver was not sleeping therefore the car did not brake.

See the link below for more about Converse Statements:

https://brainly.com/question/2751386

Answer:

[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]

Answer:

a. 18 dollars per hour

b. 16 dollars per hour

Step-by-step explanation:

for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour

for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16

Answer:

26

18

10

6

hope this will help u

Find one factor

[tex](x-2)(x^{2} +2x-3)[/tex]

Find one factor

[tex](x-2)(x-1)(x+3)[/tex]

[tex]solution:(x-2)(x-1)(x+3)[/tex]

Answer:

1  >

2 <

3 >

Step-by-step explanation:

I think so sorry if wrong :(

Answer:

Explanation is in a file

Step-by-step explanation:

The equation that represents the relation in this situation is: y = 3x + 8

The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).

This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).

Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?

Learn more about equations in: https://brainly.com/question/10724260
#SPJ3

Step-by-step explanation:

the graph of this function is

Answer:

36 cm

hope it helps have a great day

Answer:

(assuming we're deciding decimals by decimals)

Dividing decimals is alot like regular decimal dividing. First, you must move the decimal places so it becomes a whole number. This makes it easier and less confusing as steps go on. Now we can divide regularly as we go on, making sure to put the amount of decimal spots we moved back in the answer.

Answer:

The first step is to make the divisor a whole number by multiplying it by a power of 10. When you multiply the divisor by a power of 10, you must multiply the dividend by the same power of 10. Then divide. Check your answer using estimation.

Step-by-step explanation:

Answer:

the box volume is 34

Step-by-step explanation:

so you add then multiply 24 by 1/8 and that make 34 and sorry if it's not correct I'm bad at matg

Answer:

y = -1/2x - 5/2

Step-by-step explanation:

y = 2x – 1

Current slope is 2, perpendicular is opposite inverse which is -1/2.

y-intercept through point (-5, 0):

y = mx + b

0 = -1/2(-5) + b

0 = 5/2 + b

b = -5/2

Use the perpendicular slope and b above to form new equation of line:

y = mx + b

y = -1/2x - 5/2

Step-by-step explanation:

a. f(-1)=(3-1)

=2

b.f(0)=(0-1)

=-1

c.f(3)=(-9-1)

=-10

Answer:

Step-by-step explanation:

-2x+y

-2x2+-3

-4+-3

7

Answer:

Step-by-step explanation:

x^2 + 18x + 81 = 0

x^2 + 9x + 9x + 81 = 0

x(x+9) + 9(x+9) = 0

(x + 9)(x + 9) = 0

(x + 9) = 0

x + 9 = 0

x = 0 - 9

Answer:

Below.

Step-by-step explanation:

a. 360 - 168

= 192 ft above sea level.

b. -168 - (-132) = -36.

36 feet lower.

a. When x = -1, the value of y is 3.

b. When y = 7, the value of x is 1.

c. The y-intercept of the graph is (0,5).

d. The x-intercept of the graph is -2.5.

e. The slope of the line is 2.

f. The equation of the line is y = 2x + 5.

Hope this helps!! :)

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation: