Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points P = (-4,4) and Q = (-3,2). What is the equation of the line?
y =

Answer:

[tex] \frac{r}{2} + ( \frac{7}{8} - s) \\ r = 1 \\ s = \frac{1}{2} \\ then \\ \frac{1}{2} + ( \frac{7}{8} - \frac{1}{2} ) \\ = \frac{1}{2} + \frac{3}{8} \\ = \frac{7}{8} \\ thank \: you[/tex]

Answer:

-3π/4

Step-by-step explanation:

-135° = (-135) × π/180= -3π/4

Answer:

the area of a circle is equal to pi r square that is 3.14×3×3 = 28.26.

5 - (4 + 2)² = 5 - 6² =

= 5 - 6 · 6 = 5 - 36 = -(36 - 5) = -31

Answer: D)

Answer:

Step-by-step explanation:

First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).

sin(2A) = 2sin(A)cos(A)

We know from the triangle we drew in the coordinate plane that

[tex]sin(A)=\frac{3}{5}[/tex]  and  [tex]cos(A)=\frac{4}{5}[/tex] so we fill in the formula accordingly and then simplify:

[tex]sin(2A)=2(\frac{3}{5})(\frac{4}{5})=\frac{24}{25}[/tex]

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.

[tex]cos(2A)=cos^2(A)-sin^2(A)[/tex] and filling in the formula:

[tex]cos(2A)=(\frac{4}{5})^2-(\frac{3}{5})^2\\cos(2A)=\frac{16}{25}-\frac{9}{25}\\cos(2A)=\frac{7}{25}[/tex]

I'm not sure why you have 7/2 there...

Answer:

256, 254

Step-by-step explanation:

Answer:

23x

Step-by-step explanation:

16 - 4(3x-5)

12(3x-5)

36x-60

Answer:

3 1/3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

x/3 + 3 = 4

x/3 = 4 - 3

x/3 = 1

x = 3

Answer: x = 3

Step-by-step explanation:

Given

x/3 + 3 = 4

Subtract 3 on both sides

x/3 + 3 - 3 = 4 - 3

x/3 = 1

Multiply 3 on both sides

x/3 × 3 = 1 × 3

[tex]\boxed{x=3}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

0.548

Step-by-step explanation:

5 x 0.1 = 0.5

4 x 0.01 = 0.04

8 x0.0001 = 0.008

Now add them all together to get 0.548 in standard form.

I hope this helps! :)

Answer:

5 × 0.1 is 0.5

4 × 0.001 is 0.04

8 × 0.0001 is 0.008

so add all number is

0.548

Answer:

The answer is A. 63 minutes.

Step-by-step explanation:

I added 27 minutes with each of the answer then multiplied the two added numbers by 30%

27 + 63 = 90 x 30% = 27 minutes (correct answer)

27 + 67 = 94 x 30% = 28.2 minutes (wrong answer)

27 + 70 = 97 x 30% = 29.1 minutes (wrong answer)

27 + 90 = 117 x 30% = 35.1 minutes (wrong answer)

Answer:

5/12

Step-by-step explanation:

Given:

In the triangular base of the pyramid,

Base = 4m

Height = 7m

Area of base = 1/2 x Base x Height

=> 1/2 x 4 x 7 = 14 m^2

Now, Volume of Triangular Pyramid = 1/3 x Area of Base x Height

= 1/3 x 14 x 5

= 1/3 x 70

= 23.33 m^2 or 23 1/3 m^2

Answer:

(c) y = 3x - 16 or y - 2 = 3(x - 6)

Step-by-step explanation:

To be perpendicular, the slope must be the negative inverse of the other line,

so we know the slope must be -(-3/1) = 3

then the general point-slope form is

y = mx + b (m = slope and b = y-intercept) so

y = 3x + b (then use the point given (6,2) to find m)

2 = 3(6) + b

2 = 18 + b

2 - 18 = b

-16 = b

then

y = mx + b

y = 3x - 16

30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5

  +2x   +2x

50 = 40 + 0.5 x

-40   -40

-------------------

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

$5 is the answer.......

Answer:

one box cost is $5

Step-by-step explanation:

$25 - $5 = $20 - this is the cos of four cereal boxes

$20 / 4 = $5 each box cost

Answer:

1/94

Step-by-step explanation:

2/188 = 1/94

Answer:

0.01063829787.

Step-by-step explanation:

Caculator.

Answer:

no soultion

Step-by-step explanation:

did on paper

Answer:

exactly one solution

Step-by-step explanation:

got it right on khan lol

Answer:

She can earn $10 per week even if she does not knock on any doors

Answer:

$30000at 8%compound interest

Answer:

D

Step-by-step explanation:

Given the input - 1 [tex]\frac{1}{2}[/tex] = - [tex]\frac{3}{2}[/tex] , then

(- [tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] , then subtract 2

[tex]\frac{9}{4}[/tex] - 2 = [tex]\frac{9}{4}[/tex] - [tex]\frac{8}{4}[/tex] = [tex]\frac{1}{4}[/tex]

Then reciprocal which is 1 over the previous value

reciprocal = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 ← output → D

Answer:

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \sqrt{ {28 - 28)}^{2} + {(6 - - 12)}^{2} } \\ \sqrt{ {0}^{2} + {18}^{2} } \\ = \sqrt{ {18}^{2} } = 18unit \\ thank \: you[/tex]

Answer: The answer is true im taking that same test

It is TRUE because the piecewise graph shown is the ceiling function.

Answer:

89.90 is the answerrrrrrrrrrr

Answer:

89.91

Step-by-step explanation:

You can do this with a calculator 99.90-10%

Answer:

B.

y=2 · 3xy equals 2 times 3 superscript x baseline

Step-by-step explanation:

The bacteria culture starts with 500 bacteria and doubles size every half hour.= 2 hours

32,000

Thus, after three hours, the population of bacteria is 32,000.= 3 hours

A bacteria culture starts with 500 bacteria and doubles in size every half hour.1

(a) How many bacteria are there after 3 hours?

We are told “. . . doubles in size every half hour.” Let’s make a table of the time and population:

t 0 0.5 1.0 1.5 2.0 2.5 3.0

bacteria 500 1000 2000 4000 8000 16000 32000

Thus, after three hours, the population of bacteria is 32,000.

(b) How many bacteria are there after t hours?

In t hours, there are 2t doubling periods. (For example, after 4 hours, the population has doubled 8

times.) The initial value is 500, so the population P at time t is given by

P(t) = 500 · 2

2t

This is an acceptable response, but in calculus and all advanced mathematics and science, we will

almost always want to use the natural exponential base, e. Let’s redo the problem using the natural

exponential growth function

P(t) = P0e

rt

We are given that the initial population is 500 bacteria. So P0 = 500 and we have

P(t) = 500ert

We know that after 1 hour, there are 2000 bacteria. (We could’ve used any other pair from our table

that we wish.) Substituting into our function, we get

P(t) = 500ert

2000 = 500er·1

2000 = 500er

1

500

· 2000 =

1

500

· 500er

4 = er

and now we use the natural logarithm to solve for r

ln (4) = ln (er

)

ln (4) = r · ln (e)

ln (4) = r

1.3863 ≈ r

Thus the function P(t) = 500e1.3863t gives the number of bacteria after t hours.

(c) How many bacteria are there after 40 minutes?

The input t to our function is given in hours, so we must convert 40 minutes into hours. So (40 min)

1 hr

60 min

=

2

3

hr.

P(t) = 500e1.3863t

P

2

3

= 500e1.3863·(2/3)

P

2

3

≈ 1259.9258

Thus, after 40 minutes (2/3 of an hour), there are about 1260 bacteria.

(d) Graph the population function and estimate the time for the population to reach 100,000.

50000

100000

1 2 3 4 5

b

(3.8219, 100,000)

t

P

Using the calc:intersect on the TI-84, we get the point (3.8219, 100000), thus the population will

reach 100,000 in about 3.82 yrs