Sally can paint a room in 5 hours while it takes steven 7 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answer:

B) y < 3/4x -2

Step-by-step explanation:

First, to eliminate 2 options let's see what sign we should use. The ≤ is a solid line where < is a dotted line. Next, you need to know which way to flip the sign. If it is under the line it is the < symbol.

The sociologist would need a sample size of at least 753 students to estimate the proportion of students

Margin error = .03

Confidence Interval = 90%

Proportion size = .44

To estimate the percentage of students, establishing the sample size required -

\(n = (Z^2 x p x q) / E^2\)

Where p is the estimated proportion of students who binge drink during the school year, Z is the Z-score associated with the desired level of confidence, which is 1.645, q is 1 - p which represents the proportion of students who do not engage in binge drinking, and E is the desired margin of error, which is 0.03

Therefore,

\(n = (1.645^2 x 0.44 x 0.56) / 0.03^2\)

= 752.67 or 753.

Read more about proportion on:

https://brainly.com/question/870035

#SPJ4

Answer:

In computer programming, specifically object-oriented programming, a class invariant is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The class invariant constrains the state stored in the object

The account's balance after 5 years is given as follows:

\(A(5) = P\left(1 + \frac{r}{4}\right)^{20}\)

In which:

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

Quarterly compounding means that the value of n is given as follows:

n = 4.

Then the balance of the account after 5 years, when t = 5, is given as follow:

\(A(5) = P\left(1 + \frac{r}{4}\right)^{20}\)

More can be learned about compound interest at https://brainly.com/question/24274034

#SPJ1

Answer:

B.

Step-by-step explanation:

The graph shows a linear function that is extending infinitely in both directions.

In other words, the domain is all real numbers.

As inequalities, this is:

\(-\infty< x<\infty\)

Therefore, the correct answer is B.

Answer:

Step-by-step explanation:

The Jacobian of the transformation is defined as the determinant of the matrix of the first partial derivatives of the transformation.Therefore, the Jacobian of the transformation is\(-72e^(2s-2t) - 72e^(2s)\)

To find the Jacobian of the transformation,

\(x= 9e^(s+t), \\y= 8e^(s-t)\),

we need to calculate its first partial derivatives with respect to s and t.

So let's find them,

\(∂x/∂s=9e^(s+t)\),

\(∂x/∂t=9e^(s+t)\),

\(∂y/∂s=8e^(s-t)\),

\(∂y/∂t=-8e^(s-t)\)

Now we can form the Jacobian matrix as follows:

\([ ∂x/∂s, ∂x/∂t ] = [ 9e^(s+t), 9e^(s+t) ][ ∂y/∂s, ∂y/∂t ]     [ 8e^(s-t), -8e^(s-t)]\)

Then, the Jacobian of the transformation is:

\(∂(x, y)/∂(s, t)\\ = (9e^(s+t) * -8e^(s-t)) - (9e^(s+t) * 8e^(s-t))\)

= \(-72e^(2s-2t) - 72e^(2s)\)

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

Answer:

Half Angle & X

Step-by-step explanation:

edge 2022

The step contains an error is Half Angle & X.

We have given that,

A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, and 8.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.

We have determined the step contains an error.

Half Angle & X.

To learn more about the expression visit:

https://brainly.com/question/723406

#SPJ5

Answer:

A) x > 28  B) Yes

Step-by-step explanation:

A)   35 ÷ 1.25 = 28

So for the monthly pass to be a better deal, you would need to ride it more than 28 times.  So x > 28.

B)  Yes.  Without the monthly pass, then cost of riding the subway 45 times would be 45 x 1.25 = $56.25.  As 56.25 > 35 it is more cost effective to buy the monthly pass.

Answer:

b. yes u should refer taking the monthly pass, rather than paying every day $ 1.25

Step-by-step explanation:

1.25×45= 56.25$ SPENDED LIKE THAT

35$×1 MONTH gives u 35 dollars to spend the money

Answer:

It's exponential and  the fiftth option, y = 128(1/2)^x

Step-by-step explanation:

Answer: the slope of line = y2-y1÷x2-x1

Step-by-step explanation:x1=1 x2=-1 y1=9 y2=6

                                              slope=(6-9)÷(-1-1)

                                               slope= (-3)÷(-2)

                                                answer= 3

                                                               2

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using slope formula and solving for y

m = (y2 - y1)/(x2 - x1)

Answer:

y = 2

Step-by-step explanation:

Using slope formula and solving for y

m = (y2 - y1)/(x2 - x1)

-2/7 = (4 - y)/(3 - 10)

-2/7 = (4 - y)/-7

2 = 4 - y

y = 4 - 2

y = 2

A) 4.5×10¹¹ B) 3.5×1000

Hope it helped you

Answer:

Twenty-five point four

Step-by-step explanation:

65 x 39/100

Answer:

1 and 4

Step-by-step explanation:

The vertex of the graph is (1,4) which is translated up 4 units

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

Find out more information about equation here:

https://brainly.com/question/14686792

#SPJ4

Answer:

0.7

Step-by-step explanation:

The probability that the number is in set A’ is the probability that a number is not in set A.

From the venn diagram attached below, they are two sets, set A and set B. Set A has 3 elements {15, 12 18}, Set B has 5 elements {12 18 10 14 16}.

The total number of elements in the universal set is 10 i.e {10 11 12 13 14 15 16 17 18 19}

therefore the number of elements in set A' is 7, i.e {10 11 13 14 16 17 19}.

the probability that the number is in set A’  = number of elements in set A'/number of elements in the universal set

probability that the number is in set A’ = 7 / 10 = 0.7

Answer:

0.7

Step-by-step explanation:

count them up and decide by how many there are then simplify

Answer:

B. Homeowners pay additional property taxes

Step-by-step explanation:

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

Learn more about linear equations here:

brainly.com/question/29739212

#SPJ1

Answer:

Option A  and D

Step-by-step explanation:

A polynomial is the combined form of expression that contains variables, operations and exponents. It cannot be divided by a variable.Polynomial does not have fractional exponent.

Option A is a polynomial because it contains variables x  and y and operators like + and division

Option B is not a polynomial because it have x in the denominator . Polynomial cannot be divided by a variable.

Option C is not a polynomial because it has a fractional exponent 1/3

Option D is a polynomial because it contains variables x  and y

\(\frac{7^{16} }{7^{12} }= \frac{7^{16-34} }{7^{12-34} } =\frac{7^{-18} }{7^{-22} } = 2401\)

so the missing term in the denominator is 7^(-22)

ok done. Thank to me :>

Answer:

4 m = width of the rectangle.

6 m = length of the rectangle

20 m = perimeter of rectangle

3 m = side of the square

Step-by-step explanation:

Let s = length of side of square

s + 1 = width of rectangle

s + 3 = length of rectangle

Area of rectangle = (s + 1)(s + 3)

Area of square = \(s^{2}\)

So,  (s + 1)(s + 3) + \(s^{2}\) = 33

\(s^{2}\) + 4s + 3 + \(s^{2}\) = 33

2\(s^{2}\) + 4s - 30 = 0

2(\(s^{2}\) + 2s - 15) = 0

2(s + 5)(s - 3) = 0

s = -5   or   s = 3

Length of a side cannot be negative, so -5 is ignored

3 m = side of the square

4 m = width of the rectangle

6 m = length of the rectangle

2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle

The points (1,3) and (-1,-3) are on the line given by the given equation.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=6x+7. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=6 and b=7.

The question gives the equation y=3x from the standard form equation, you can identify that: m=3 and b=0.

For solving the question, you should check if the given coordinates comply with the equation y=3x.  See below.

         y=3*1

         y=3

Therefore, the coordinate (1,3) is on the line given by the equation y=3x.

Read more about the linear equations here:

brainly.com/question/2030026

#SPJ1

Answer:

I think it's 55

Step-by-step explanation:

10C3 + 5C3

Number of clients who do not play either the piano or the guitar is 22

To find the number of clients who do not play either instrument, we need to subtract the number of clients who play either the piano or the guitar or both from the total number of clients.

Let A be the set of clients who play the piano, and B be the set of clients who play the guitar. Then, we can use the formula A union B

|A ∪ B| = |A| + |B| - |A ∩ B|

where |A ∪ B| is the number of clients who play either the piano or the guitar or both, |A| is the number of clients who play the piano, |B| is the number of clients who play the guitar, and |A ∩ B| is the number of clients who play both instruments

Substituting the given values, we get

|A ∪ B| = 46 + 58 - 17

|A ∪ B| = 87

Therefore, the number of clients who do not play either instrument is:

109 - 87 = 22

Learn more about union here

brainly.com/question/29055360

#SPJ4