The plot below shows the ages of residents at Oak Creek Assisted Living. The black dots represent residents in the east wing, and the gray dots represent residents in the west wing. Use the plot to answer the following question.

Answer:

(cross multiply)

2:3

16:X

2X=16×3

2x=48

x=48÷2

x=24

Answer:

Step-by-step explanation:

Let's take a look at the given angle 135°

The sketch of the angle which corresponds to [tex]-\dfrac{3\pi}{4}[/tex] unit circle and can be seen in the attached image below;

The trigonometric ratios are as follows for an angle θ on the unit circle:

Trigonometric ratio           related ratio on coordinate axes

sin θ                                     [tex]\dfrac{y}{1}[/tex]

cos θ                                    [tex]\dfrac{x}{1}[/tex]

tan θ                                     [tex]\dfrac{y}{x}[/tex]

csc θ                                     [tex]\dfrac{1}{y}[/tex]

sec θ                                     [tex]\dfrac{1}{x}[/tex]

cot θ                                      [tex]\dfrac{x}{y}[/tex]

From the sketch of the image attached below;

The six trigonometric ratio for 135° can be expressed as follows:

[tex]sin (-\dfrac{3\pi}{4})= \dfrac{y}{1}[/tex]

[tex]sin (-\dfrac{3\pi}{4})=- \dfrac{\sqrt{2}}{2}[/tex]

[tex]cos (-\dfrac{3\pi}{4})= \dfrac{x}{1}[/tex]

[tex]cos (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}[/tex]

[tex]tan (-\dfrac{3\pi}{4})= \dfrac{y}{x}[/tex]

[tex]tan (-\dfrac{3\pi}{4})= \dfrac{-\dfrac{\sqrt{2}}{2}}{-\dfrac{\sqrt{2}}{2}}[/tex]

[tex]tan (-\dfrac{3\pi}{4})= -\dfrac{\sqrt{2}}{2}} \times {-\dfrac{2}{\sqrt{2}}[/tex]

[tex]tan (-\dfrac{3\pi}{4})= 1[/tex]

[tex]csc (-\dfrac{3\pi}{4})= \dfrac{1}{y} \\ \\ csc (-\dfrac{3\pi}{4})=\dfrac{1}{-\dfrac{\sqrt{2}}{2}} \\ \\ csc=1 \times -\dfrac{2}{\sqrt{2}} \\ \\csc =-\sqrt{2}[/tex]

[tex]sec (-\dfrac{3 \pi}{4})=\dfrac{1}{x} \\ \\ sec = \dfrac{1}{(-\dfrac{\sqrt{2}}{2})} \\ \\ sec = 1 \times -\dfrac{2}{\sqrt{2}} \\ \\ sec = - \sqrt{2}[/tex]

[tex]cot(-\dfrac{3 \pi}{4}) = \dfrac{x}{y} \\ \\ cot(-\dfrac{3 \pi}{4}) = \dfrac{-\dfrac{\sqrt{2}}{2} }{-\dfrac{\sqrt{2}}{2}} \\ \\ cot(-\dfrac{3 \pi}{4})= -\dfrac{\sqrt{2}}{2} } \times {-\dfrac{2}{\sqrt{2}}} \\ \\ cot (-\dfrac{3 \pi}{4}) = 1[/tex]

Answer:

A and B ( page 12 and page 20 )

Step-by-step explanation:

1/4 of an hour he read 9 pages ( 15 mins ) ( 60 / 1 hour divided by 4 = 15 ) In other words 9 pages in 15 mins. To get to an hour u gotta multiply by 4. 15x4=60 9x4=36 ( 1 hour of reading is 36 pages read )

60 divided by 3 = 20

36 divided by 3 = 12 for sure it’s A and B

Answer:

4y - 12

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

4y - 12

(to answer, type a 4 in the first box and a 12 in the other)

Step-by-step explanation:

Multiply 4 to the values inside of the parentheses:

4 * y - 4 * 3 =

4y - 12

Answer:

14800

Step-by-step explanation:

Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]

Using the formula above, our equation will look like this:

[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]

145 + 225 = 370

370/2 = 185

185 * 80 = 14800

PLZ GIVE BRAINLIEST

Answer:

224

Step-by-step explanation:

Answer:

[tex] \displaystyle 14[/tex]

Step-by-step explanation:

we are given two temperature

4 degrees and -10 degrees

since it says to figure out the changed

substract

[tex] \displaystyle 4 - ( - 10)[/tex]

remove parentheses and change its sign

[tex] \displaystyle 4 + 10[/tex]

simplify addition:

[tex] \displaystyle 14[/tex]

and we are done!

A = p(1+r)^t

1600 = p(1+0.08)¹⁰

P = 1600/2.1589

P= 741.12

741.12 dollar money did you originally deposit into your savings account!

Answer:

The answer is "-9".

Step-by-step explanation:

[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]

[tex]P(X <= 10.9)=?[/tex]

The z-value is determined using the central boundary theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]

Calculating the value for Aaron

[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]

When the z-value is calculated using Central Limit Theorem

[tex]z = \frac{(x - \mu)}{\sigma}[/tex]

  [tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]

Answer:

The times are equal when compared to each of their teams.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Firstly, change the mixed fraction into improper fraction.

Secondly, multipy 6 containers by 15/4 to get total tons of sugar.

Thus 6*15/4=22.5

Answer:

≠

Step-by-step explanation:

4/5 ≠ 9/12

≠ is the answer.

Answer:

≠

Step-by-step explanation:

First, find a common denominator

Let's use 60

Convert each fraction to a fraction with a denominator of 60

4/5 = 48/60

9/12 = 45/60

48/60 ≠ 45/60 so 4/5 ≠ 9/12

Answer:

The answer is B Point M

Hope this helps as well! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's about 18,  as per the graph

Answer:

Step-by-step explanation:it’s abc

9514 1404 393

Answer:

  -6 or -8, depending on what you mean

Step-by-step explanation:

(-2)3 = -(2)(3) = -6

__

(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8

Answer:

13 of August,

Step-by-step explanation:

All of them worked together at day number zero (August 1).

We know that Elvis works every 3rd day

So he will work at:

day 3, day 6, day 9, etc.

We know that Izzy works every 4th day, then she will work at:

day 4, day 8, day 12, etc.

We know that Janaisa works every 6th day, so she will work at:

day 6, day 12, etc.

We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.

To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:

3)

3*1 = 3

3*2 = 6

3*3 = 9

3*4 = 12

3*5 = 15

...

4)

4*1 = 4

4*2 = 8

4*3 = 12

4*4 = 16

...

6)

6*1 = 6

6*2 = 12

So we can see that 12 is a common multiple of the 3 numbers.

Then they will work together 12 days after August 1th.

That would be the 13 of August,

Answer:

50 squared m

Step-by-step explanation:

Volume for triangles is base x hight / 2

10 x 10 = 100 / 2 = 50

Answer:

Length = 33 m

Width = 11 m

Step-by-step explanation:

l = 3w

2l + 2w = 88

l + w =44

Subsitiute for l

3w + w = 44

4w = 44

w = 11

l = 3(11)

l = 33

Answer:

D

Step-by-step explanation:

Pretty sure its D

Answer:   5

Step-by-step explanation:   P(broken bulb) = 1/20  =0.05

Estimated value E = np = 100·0.05 = 5

Answer:

C

Step-by-step explanation:

i had the same question on my test lol

Answer:

cheese = $3  load of bread = $2

Step-by-step explanation:

to check:

2c + 3b = 12

2(3) + 3(3) = 12

6+6=12

Answer:

Magnitude: [tex]2\sqrt{2}[/tex],  Angle: 135 degrees

Step-by-step explanation:

The magnitude of the vector ax + by is

[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]

The angle (in Standard Position) is 135 degrees.

See attached images.

Answer:

-8p+64

Step-by-step explanation:

Multiply each term in parentheses by 8

8×-p= -8p

-8p+8×8 (8×8=64)

= -8p+64

Answer:

First multiply the first equation by 2

2(2x + y = 25)

You'll have

4x + 2y = 50

Rewrite both equations

4x + 2y = 50

3x - 2y= 20

Add from the first equation you'll get

7x = 70... X = 10

Substitute x in one of the equations:

3(10) - 2y = 20

30 - 2y = 20

-2y = -10

y = 5

Answer:

[tex]3)\ x = 8[/tex]

[tex]4)\ x = 12[/tex]

Step-by-step explanation:

Given

The similar triangles

Required

Solve for x

TUV to TLM implies that, the corresponding sides are:

[tex]TU \to TL[/tex]

[tex]TV \to TM[/tex]

[tex]UV \to LM[/tex]

To solve for x, we use the following equivalent ratios

[tex]TV : TM =TU:TL[/tex]

This gives:

[tex]24 : x + 8=36 : 24[/tex]

Express as fraction

[tex]\frac{24 }{ x + 8} =\frac{36 }{ 24}[/tex]

Cross Multiply

[tex]36(x + 8) =576[/tex]

Divide both sides by 36

[tex]x + 8 =16[/tex]

Subtract 8 from both sides

[tex]x = 8[/tex]

FGH to WVU implies that, the corresponding sides are:

[tex]FG \to WV[/tex]

[tex]FH \to WU[/tex]

[tex]GH \to VU[/tex]

To solve for x, we use the following equivalent ratios

[tex]FH : WU =FG:WV[/tex]

This gives:

[tex]x + 3 : 5 = 27 : 9[/tex]

Express as fraction

[tex]\frac{x + 3 }{ 5 }= \frac{27 }{ 9}[/tex]

[tex]\frac{x + 3 }{ 5 }= 3[/tex]

Cross Multiply

[tex]x + 3 = 3 * 5[/tex]

[tex]x + 3 = 15[/tex]

Subtract 3 from both sides

[tex]x = 12[/tex]

Answer:

Step-by-step explanation:

The steps required to solve the given equation is required.

First step: Identify a = 1, b = 3 and c = -4

Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]

Last step: x = 1 and x = -4

The given equation is

[tex]x^2+3x-4=0[/tex]

Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have

a = 1

b = 3

c = -4

Applying the formula

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]

Learn more about solving quadratic equations:

https://brainly.com/question/1214333

Answer:

A= 63

Step-by-step explanation:

the both sides are equal so it will be 63 and 63

angle c would be 54

Adding all the sides would give 180 as all sides equal 180

Answer:

The y coordinates will remain the same. Meanwhile, the x coordinates will be the opposite.

Step-by-step explanation:

Here's an example, because no picture was included. If point C was located at (3, 5), point C' would be at (-3, 5).

Hope this helps!! :)