Find an angle Theta with 0° < 0 < 360° that has the same:
Sine as 50°: theta =
degrees
Cosine as 50°: theta =
degrees

Background:

"As much as" means that two quantities are being compared and is a keyword for division.

Procedure:

Answer: 2

Answer:

\(-4(16-18)\), \([16 + (-18)](-4)\)

Step-by-step explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday = \((16-18)\°F\)

Temperature on Wednesday = \(-4(16-18)\°F\)

So, expression \(-4(16-18)=(16-18)(-4)\) can be used to describe the low temperature on Wednesday.

Also,

\((16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}\)

So, expression \([16 + (-18)](-4)\) also represent temperature on Wednesday.

Answer:

(16 – 18)(–4)

[16 + (–18)](–4)

Step-by-step explanation: Answers for Edge

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

Learn more about area of square here

https://brainly.com/question/13389992

#SPJ4

The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

Learn more about Volume of cube here

https://brainly.com/question/3390425

#SPJ4

Answer:

A = $ 1,195.63

A = P + I where

P (principal) = $ 850.00

I (interest) = $ 345.63

Step-by-step explanation:

First, convert R percent to r a decimal

r = R/100

r = 5.7%/100

r = 0.057 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 850.00(1 + 0.00475/12)(12)(6)

A = $ 1,195.63

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 850.00 at a rate of 5.7% per year

compounded 12 times per year

over 6 years is $ 1,195.63.

Answer:

A, 24

Step-by-step explanation:

Answer:

A. 24

Step-by-step explanation:

This is because on the cube numbered 1-6, there are only three numbers greater than 3. On the wheel, there are four outcomes and on the coin, there are two outcomes. Now, I simply multiply the possible outcomes.

\(3*4*2=24.\)

I, therefore, believe the answer to this word problem is 24.

Answer:

-1, 6

0, -3

1, -3.9

2, -3.99

f(x) = 5^2x+1

Step-by-step explanation:

for the first question, after plugging in the values of x, we get our answer to be the 2nd table

-1, 6

0, -3

1, -3.9

2, -3.99

for the second question

f(x) = 5^2x+1

after graphing, we can see it never passes x = 2

Answer:

The answer is:

Step-by-step explanation:

9, 4.1, 2.6, 7, 8.5

Answer:

Step-by-step explanation:

Answer:

PR=22

Step-by-step explanation:

3x+6x+4=14x-6

9x+4=14x-6

10=5x

x=2

Plug in

3(2)

6

6(2)+4

12+4

16

16+6

22

So the bottom should equal 22

14(2)-6

28-6

22

Hope this helps

Brainliest would be appreciated

Solution:

We know that:

\(Original \ price = \$11\)

\(Sale \ price = \$9.25\)

\(\frac{9.25}{11} + \frac{1.75}{11} =100\%\)

Simplify the equation to find the percent off:

\(\frac{9.25}{11} + \frac{1.75}{11} =100\%\)

\(84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded]\)

This means that the original price has decreased about 16%.

hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Answer:

slope = -3

Step-by-step explanation:

Hope this helps! Have a great day!

The answer is definitely C

There is a 38.51% probability that a randomly chosen applicant will score between 550 and 650 which is derived through standard normal distribution method.

It is given to us that the scores of the applicants for graduate school are normally distributed with -

Mean(μ) = 560

and, Standard deviation (σ) = 90

We have to find out the probability of a randomly chosen applicant will score between 550 and 650.

We have to use the standard normal distribution method in order to find out the required probability.

According to standard normal distribution curve method,

Z = (X-μ)/σ

=> Z = (550-560)/90 and, Z = (650-560)/90

=> Z = -0.11 and Z = 1.00

The probability will be with respect to the corresponding z-tables which is equal to = (0.3413+0.0438)

= 0.3851

Thus, the probability of a randomly chosen applicant will score between 550 and 650 is 0.3851 or 38.51%.

To learn more about standard normal distribution curve visit

https://brainly.com/question/14645437?referrer=searchResults

#SPJ4

Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Answer:

x^2 - 10x + 25

Step-by-step explanation:

I'm hoping that the 2 means squared.

x^2 - 10x + 25

Answer:

x^2 -10x+25

Step-by-step explanation:

(x-5)^2

(x-5)(x-5)

FOIL

first = x*x = x^2

outer:-5x

inner: -5x

last: -5*-5 = 25

Add them together

x^2 -5x-5x+25

Combine like terms

x^2 -10x+25

Standard form is ax^2 +bx +c so this is standard form

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

An object is moving along the x x -axis. At t t = 0 it is at x x = 0. Its x x -component of velocity vx v x as a function of time is given by vx(t)=αt−βt3 v x ( t ) = α t − β t 3 , where α= α = 7.2 m/s2 m / s 2 and β= β = 4.8 m/s4 m / s 4  the nonzero time at which x = 0 is 1.22 seconds.

To find the time at which the object is again at x=0, we need to solve the equation vx(t) = 0, which gives us:

αt - βt^3 = 0

t(α - βt^2) = 0

The solutions to this equation are t = 0 (which corresponds to the initial position) and t = ±√(α/β). Since we're looking for a nonzero time, we can discard the t = 0 solution and take t = √(α/β):

t = √(α/β) = √(7.2 m/s^2 / 4.8 m/s^4) = √(1.5 s^2) = 1.22 s

Therefore, the object is again at x=0 after a time of 1.22 seconds.

For more questions on Velocity

https://brainly.com/question/25749514

#SPJ4

the equation that represents the new graph is:

g(x) = √(x - 3) - 2

Here we start with the function:

y = f(x) = √x

First, we shift it 2 units down, then the new equation will be:

g(x) = f(x) - 2

Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:

g(x) = f(x - 3) - 2

Now we replace f(x) = √x to get:

g(x) = √(x - 3) - 2

That is the equation that represents the new graph.

If you want to learn more about translations:

https://brainly.com/question/24850937

#SPJ1

Answer:

Add 3 each time. (for question #8)

Step-by-step explanation:

9+3=12

12+3=15

15+3=18

18+3=21

21+3=24

24+3=27

.

.

.

Answer:

It's B,

Step-by-step explanation:

It looks so messy

The number of solutions of a+b+c+d+e+f = 2006 is 9.12 * 10^16

The equation is given as:

a+b+c+d+e+f = 2006

In the above equation, we have:

Result = 2006

Variables = 6

This means that

n = 2006

r = 6

The number of solutions is then calculated as:

(n + r - 1)Cr

This gives

(2006 + 6 - 1)C6

Evaluate the sum and difference

2011C6

Apply the combination formula:

2011C6 = 2011!/((2011-6)! * 6!)

Evaluate the difference

2011C6 = 2011!/(2005! * 6!)

Expand the expression

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006 * 2005!/(2005! * 6!)

Cancel out the common factors

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006/6!

Expand the denominator

2011C6 = 2011 * 2010 * 2009 * 2008 * 2007 * 2006/720

Evaluate the quotient

2011C6 = 9.12 * 10^16

Hence, the number of solutions of a+b+c+d+e+f = 2006 is 9.12 * 10^16

Read more about combinations at:

brainly.com/question/11732255

#SPJ1

Answer:

210 = 6!/1!•1!•1!•1!•1!•1!

Step-by-step explanation:

We can use the stars and bars method to solve this problem. Imagine we have 2006 stars and we want to distribute them among 6 bins (a, b, c, d, e, and f). We can represent the stars as follows:

... * (a stars)

| * * * ... * (b stars)

| | * * * ... * (c stars)

| | | * * * ... * (d stars)

| | | | * * * ... * (e stars)

| | | | | * * * ... * (f stars)

The bars divide the stars into 6 bins, and the number of stars in each bin represents the value of the corresponding variable (a, b, c, d, e, or f).

To ensure that each variable is a positive integer, we can add 1 to each variable and distribute the remaining stars. For example, if we add 1 to a, b, c, d, e, and f, the equation becomes:

(a+1) + (b+1) + (c+1) + (d+1) + (e+1) + (f+1) = 2012

Now we have 6 stars and 5 bars, and we can use the stars and bars formula to find the number of solutions:

Number of solutions = (6+5-1) choose (5-1) = 10 choose 4 = 210

Therefore, the equation a+b+c+d+e+f=2006 has 210 positive integer solutions.

Expressing the answer in the form x!/x!•x!, we have:

210 = 6!/1!•1!•1!•1!•1!•1!

The stars and bars formula is a combinatorial formula that allows us to count the number of ways to distribute identical objects into distinct groups.

Suppose we have n identical objects and k distinct groups. We can represent the objects as stars and the groups as bars. For example, if we have 7 objects and 3 groups, we can represent them as:

| | |

The bars divide the 7 stars into 3 groups, and the number of stars in each group represents the number of objects in that group.

The stars and bars formula tells us that the number of ways to distribute n identical objects into k distinct groups is:

(n+k-1) choose (k-1)

where "choose" is the binomial coefficient. This formula can be derived using a technique called "balls in urns" or by using generating functions.

In the example above, we have n = 7 objects and k = 3 groups, so the number of ways to distribute the objects is:

(7+3-1) choose (3-1) = 9 choose 2 = 36/2 = 18

Therefore, there are 18 ways to distribute 7 identical objects into 3 distinct groups.

Learn more about the Stars and Bars Formula:

https://brainly.com/question/4266773

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The profit function is given as:

Profit = Revenue - Cost

Cost = 2000x + 750000, Revenue = -0.09x² + 700x, hence:

Profit = -0.09x² + 700x - (2000x + 750000) = -0.09x² -1300x - 750000

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

In linear equation, 57 cents per cubic foot  should clint charge for a cubic foot .

What are a definition and an example of a linear equation?

cubic meter =  [3.28 ft ]^3  ≈ 35.29 cubic feet

So,

 price [ in cents] / 35.29  cubic feet  = 2000 / 35.29  ≈  57 cents per cubic foot

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

Complete question is;

Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.

Which simulation design has an appropriate device and a correct trial?

A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.

B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.

D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.

Answer:

B) Using a table of random digits, select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.

Step-by-step explanation:

Since she knows that if she rolls a four on three of her next five rolls she will lose the game, then the best simulation that she will roll a four on three of the next five rolls will be option B because it uses a table of random digits and doesn't ignore any number but is well ordered with 0-6 representing a four and 7-9 not rolling a four.