3/5 es mayor que 9/10?

The temperature, to the nearest degree, at 7 AM is 38 degrees.

To model the temperature during a day as a sinusoid, we can use the formula

T( t) = A * sin( B * t C) D

where

T( t) represents the temperature at time t,

A represents the breadth( half the difference between the high and low temperatures),

B represents the frequency( 2π divided by the period),

C represents the phase shift,

D represents the perpendicular shift( average temperature).

Given that the low temperature of 37 degrees occurs at 2 AM and the high temperature for the day is 67 degrees, we can determine the values of A and D as follows

breadth( A) = ( High temperature-Low temperature)/ 2

A = ( 67- 37)/ 2 = 30/ 2 = 15 degrees

Vertical shift( D) = Average temperature = ( High temperature Low temperature)/ 2

D = ( 67 37)/ 2 = 104/ 2 = 52 degrees

To find the phase shift( C), we need to determine the time at which the temperature reaches its maximum value. Since the low temperature occurs at 2 AM, the maximum temperature should be reached half between 2 AM and the coming 2 AM. Thus, the phase shift( C) is calculated as

C = π/ 2

Now we can plug in the values into the formula and find the temperature at 7 AM( t = 7)

T( 7) = 15 * sin( 2π *7/24 π/ 2) 52

This equation will give us the temperature at 7 AM which is 38 degrees.

Learn more about temperature;

https://brainly.com/question/27944554

#SPJ1

The order of the given numbers with different units of length from biggest to smallest is given by 105cm > 1m > 150mm.

Measurement with different units are,

105cm

1m

150mm

To arrange these measurements in order from biggest to smallest,

Convert all the measurements in the same units.

Convert all of them to meters,

1 meter = 100 centimeter

To convert centimeter to meter divide it by 100 we get,

105 cm

= 105 / 100 m

= 1.05 m

And 1 m = 1 m

1 meter = 100 centimeter

1 centimeter = 10millimeter

⇒ 1meter = 1000 millimeter

To convert millimeter to meter divide it by 1000 we get,

150 mm

= 150 / 1000 m

= 0.15 m

Now, arrange them in order from biggest to smallest we get,

1.05 m, 1 m, 0.15 m

1.05 m > 1 m > 0.15 m

⇒ 105cm > 1m > 150mm

Therefore, the order of the given numbers from biggest to smallest is equal to 105cm > 1m > 150mm.

learn more about order here

brainly.com/question/23368306

#SPJ4

Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.

The simple interest for $900 at an interest rate of 6% is $108.

Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.

We have,

Principal = $900

Rate of interest = 6%

Time = 2 years.

Remember that time should always be in years.

The formula for simple interest is given by:

SI = PRT / 100

Where,

P = principal

R = rate of interest

T = Number of years

So,

SI = 900 x 6 x 2 / 100

SI = $108

Thus the simple interest for $900 at an interest rate of 6% is $108.

Learn more about simple interests here:

https://brainly.com/question/15175700

#SPJ1

95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.

In the given study, Rountree and Warner (1999) observed a mean official violent crime rate of 27.06 per 1,000 in 100 census tracts over a two-year period in Seattle, WA. The standard deviation was 33.81. To construct a 95% confidence interval around this mean, we can use the formula:

\(CI = mean ± (Z-score * (standard deviation / √sample size))\)

For a 95% confidence interval, the Z-score is 1.96. The sample size is 100 census tracts. So, we can calculate the interval as follows:

CI = 27.06 ± (1.96 * (33.81 / √100))

CI = 27.06 ± (1.96 * (33.81 / 10))

CI = 27.06 ± (1.96 * 3.381)

CI = 27.06 ± 6.63

The lower bound for this confidence interval is 27.06 - 6.63, which is approximately 20.43. Therefore, we can say with 95% confidence that the true mean of the violent crime rate in Seattle's census tracts lies between 20.43 and 33.69 per 1,000.

Learn more about confidence here:

https://brainly.com/question/29048041

#SPJ11

Numbers are 36, 22

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculation.

Given

One number is 14 more than another and their sum is 58.

Let one number be x

Another number will be x + 14

Rewriting the equation in mathematical form

⇒ \(n+ (n+4) =58\)

⇒ \(2n +14 =58\)

⇒ \(2n = 58-14\)

⇒ \(2n=44\)

⇒ \(n= \frac{44}{2}\)

⇒ \(n=22\)

⇒ \(n+14=22+14=36\)

Hence, numbers are 36, 22

Find out more information about equation here

https://brainly.com/question/2263981

#SPJ2

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

\(8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\\)

Hence the option C is the correct option.

The given polynomial equation in the problem is,

\(\dfrac{1}{3} x+8x^4-\dfrac{2}{3}x^2-x\)

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.

In the above polynomial equation the variable are x and the highest power of the variable x is four.

Arrange the given polynomial equation in the power of the variable x. Thus,

\(8x^4-\dfrac{2}{3}x^2+\dfrac{1}{3} x-x\)

Make the group of the same power of the variable x. Therefore,

\(8x^4-\dfrac{2}{3}x^2+(\dfrac{1}{3} x-x)\)

\(8x^4-\dfrac{2}{3}x^2+\dfrac{x-3x}{3}\\\)

\(8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\\)

From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

\(8x^4-\dfrac{2}{3}x^2-\dfrac{2x}{3}\\\)

Hence the option C is the correct option.

Learn more about the polynomial equation  here;

https://brainly.com/question/25958000

There are 90 possible combinations of marble color and die number that are possible from a bag of 15 different colored marbles and rolling one six-sided die.

This can be determined using the multiplication principle of counting.

The multiplication principle of counting can be used to find the number of ways two or more tasks can be performed together. The principle states that if there are m ways to perform task A and n ways to perform task B, then there are m × n ways to perform both tasks A and B.

To apply the multiplication principle of counting to this problem, we need to determine the number of ways the die can land and the number of ways a marble can be chosen. There are six possible outcomes of rolling a six-sided die, and there are 15 different colored marbles to choose from. Thus, the number of possible combinations of marble color and die number is: 15 different colored marbles × 6 possible die numbers= 90 possible combinations.

To know more about possible combinations: https://brainly.com/question/29089154

#SPJ11

Answer:

x=15° and MNQ=32°

Step by step:

MNQ+QNP=90°

3x-13°+58=90°

so,3x+45°=90°

Then,3x=45° and x=15°

MNQ=3x-13°=3(15°)-13°

=45°-13°

=32°

Answer: x = 15 and MNQ = 32°

Step-by-step explanation:

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

Read more about Trigonometric Complex numbers at; https://brainly.com/question/12517327

#SPJ1

Answer:

\(\sqrt{65}\)

Step-by-step explanation:

Pythagorean Theorem; a²+b²=c²

a = 4

b = 7

c = √65

hope this helped :)

If Kayla as 110 nickels and 90 pennies in her change purse, then she has a total of $6.40. If she has xx nickels and yy pennies, then she has $(5xx + yy)/100 in dollars.

We shall convert the pennies and nickels into same unit before adding to get the expression for the number of coins in dollars Kayla will have in total.

A nickel = 5 cents so;

110 nickels = 110 × 5 cents

110 nickels = 550 cents

A penny = 1 cent, so

90 pennies = 90 cents

110 nickels + 90 pennies = 640 cents

110 nickels + 90 pennies = $ 640/100

110 nickels + 90 pennies = $6.40

A nickel = 5 cents so;

xx nickels = xx × 5 cents

A penny = 1 cent, so

yy pennies = yy cents

xx nickels + yy pennies = (5xx + yy) cents

xx nickels + yy pennies = $(5xx + yy)/100

Therefore, $6.40 is the total value in dollars for Kayla if she has 110 nickels and 90 pennies. And the expression $(5xx + yy)/100 represent the total value if she has xx nickels and yy pennies.

Learn more about pennies, nickels here: https://brainly.com/question/5193496

#SPJ1

Answer:

96 units squared

Step-by-step explanation:

The surface area of a cube can be written as 6 * (s^2)

s is the side length.

4^2 = 16.

6 * 16 = 96.

This is because the area of a cube is s^2.

There are 6 sides to a cube, so we multiply them.

The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

To Know more about the system of equations:

https://brainly.com/question/2002446

#SPJ4

Answer:

The correct answer is B

(just visualize flipping the shape upward diagnally, and you'll see it :)

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

for more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

The proof using contrapositive and contradiction is shown below.

a) Proof by Contrapositive:

We want to prove the statement "If n^2 + 2n + 10 is odd, then n is odd" using a proof by contrapositive.

To do this, we will prove the contrapositive statement: "If n is even, then n² + 2n + 10 is even."

Body (Proof by Contrapositive):

Statements                                                                Reasons                                

Assume n is even.                                                   Assumption                              

Then n can be written as n = 2k                             Definition of even

for some integer k

Substitute n = 2k into n² + 2n + 10                            Substitution                    

n² + 2n + 10 = (2k)^2 + 2(2k) + 10                               Substitution                            

= 4k² + 4k + 10                                                             Simplification                          

= 2(2k² + 2k + 5)                                                        Factor out 2                              

Since 2k² + 2k + 5 is an integer,                             Let m = 2k²+ 2k + 5

let's say it is equal to m.

n² + 2n + 10 = 2m                                                        Substitution                          

Therefore, n² + 2n + 10 is even.                           Definition of even                    

Conclusion:

Since we have shown that if n is even, then n² + 2n + 10 is even, we can conclude that if n²+ 2n + 10 is odd, then n is odd by contrapositive.

b) Proof by Contradiction:

Intro:

We want to prove the statement "If n² + 2n + 10 is odd, then n is odd" using a proof by contradiction. To do this, we will assume the negation of the statement and show that it leads to a contradiction.

Body (Proof by Contradiction):

| Statements                                                          | Reasons                                    

| Assume n is even and n²+ 2n + 10 is odd.          | Assumption                          

| Then n can be written as n = 2k                    . | Definition of even                 for some integer k

| Substitute n = 2k into n² + 2n + 10:                            | Substitution                            

| n² + 2n + 10 = (2k)² + 2(2k) + 10                               | Substitution                            

| = 4k²  + 4k + 10                                                           | Simplification                          

| = 2(2k²  + 2k + 5)                                                        | Factor out 2                            

| Since 2k²  + 2k + 5 is an integer,                            Let m = 2k²  + 2k + 5      

let's say it is equal to m.

| n² + 2n + 10 = 2m                                                          Substitution                  

| But this contradicts our assumption

that n² + 2n + 10 is odd.                                             Contradiction                          

Conclusion:

Since the assumption that n is even and n² + 2n + 10 is odd leads to a contradiction, we can conclude that if n² + 2n + 10 is odd, then n is odd by contradiction.

Learn more about Contradiction here:

https://brainly.com/question/32877729

#SPJ4

Answer:

part a: 840 if she withdrew the first month down to 730 and the rate it decreases is 110 then it is 840

part b: 110every month she withdraws 55 dollars because 55 plus 55 is 110

so every 2 months she would have withdrawn 110 dollars

Step-by-step explanation:

The correct answer is (D) AB is 4 x 4, BA is 2 x 2.

What is order of a matrix?

The order of a matrix refers to the number of rows and columns in the matrix. If a matrix has m rows and n columns, we say that it is an m x n matrix. The order of the matrix is written as "m x n".

In general, if A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix and the product BA is an n x n matrix.

In this case, A is a 4 x 2 matrix and B is a 2 x 4 matrix. Therefore, the product AB is a 4 x 4 matrix, and the product BA is a 2 x 2 matrix.

So the answer is (D) AB is 4 x 4, BA is 2 x 2.

To learn more about order of a matrix, visit the link:

https://brainly.com/question/31373779

#SPJ4

Answer:

20 kg

Step-by-step explanation:

12/3 = 4

4 x 2 = 8

12 + 8 = 20

Answer:

20 kg of dough

Step-by-step explanation:

Step 1:

12 : 3 = x : 5

Step 2:

3x = 60

Answer:

x = 20

Hope This Helps :)

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

Answer:

=3

Step-by-step explanation:

5b/c

=5*6/10

=30/10

=3

Answer:

If b = 6 and c = 10, the value of an expression is 3.

Step-by-step explanation:

Given the expression

\(\frac{5b}{c}\)

We have to evaluate the expression if b = 6 and c = 10.

Important Tip:

In order to evaluate the expression  \(\frac{5b}{c}\), all we need to do is to substitute the value of b and c in the expression.

As the expression is

\(\frac{5b}{c}\)

substitute b = 6 and c = 10 in the expression

\(\frac{5b}{c}=\frac{5\left(6\right)}{10}\)

     \(=\frac{30}{10}\)

      \(=3\)       ∵ \(\frac{30}{10}=3\)

Therefore, if b = 6 and c = 10, the value of an expression is 3.

Answer:

Step-by-step explanation:

18/14 and 10/15 don't have the same value. Only equivalent fractions have same value.

These two are not equivalent fractions

Answer:

No.

Step-by-step explanation:

Without much calculation, we can notice that 18/14 is actually greater than 10/15 since its numerator is greater than its denominator, making it greater than 1. However, 10/15 is less than 18/14 since its numerator is less than its denominator making it less than 1. In short:

18/14 > 1

10/15 < 1

18/14 > 10/15

Answer:

the x- coordinate of the turning point = - 2.5

Step-by-step explanation:

given

x² + bx + c

c is the value of the y- coordinate where the curve crosses the y- axis, so c= - 14

x² + bx - 14

given x = 2 is a root , then equating to zero gives

2² + 2x - 14 = 0

4 + 2x - 14 = 0

- 10 + 2x = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

then equation is

x² + 5x - 14 = 0  ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

the roots are x = - 7, x = 2

the x- coordinate of the vertex is at the midpoint of the roots , that is

x- coordinate of the turning point = (- 7 + 2) ÷ 2 = - 5 ÷ 2 = - 2.5

Answer:

The answer to this is B. y=32.55

Answer:

Option D

Step-by-step explanation:

This is because it contains the sum of the same variable to different powers.

Answer:

I think it's 4/9 the first one