Jill and Kyle get paid per project. Jill is paid a project fee of $35 plus $8 per hour. Kyle is paid a project fee of $20 plus $16 per hour. Write an expression to represent how much a company will pay to hire both to work the same number of hours on a project.

Answer:

5

Step-by-step explanation:

5 = 5

Answer:

i think item 1 is the better deal...

Answer:

(a) w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

(b) -2u + 3v - 5w = (\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

Step-by-step explanation:

Given:

u = (−2, 3, 1)

=> u = -2i + 3j + k                           --------------------------(i)

v = (−1, −1, 2)

=> v = -i - j + 2k                                --------------------(ii)

3u − 2v − 4w = (3, 2, −3)

=> 3u − 2v − 4w = 3i + 2j - 3k             ------------------(iii)

(A) TO FIND THE VECTOR w

Let:

w = (a, b, c) = ai + bj + ck

(a) Substitute u, v and w into equation (iii)

3u − 2v − 4w = 3i + 2j - 3k

3(-2i + 3j + k) - 2(-i - j + 2k) - 4(ai + bj + ck) = 3i + 2j - 3k

(b) Solve the equation in step (a) by opening the brackets and collecting like terms

(-6i + 9j + 3k) - (-2i - 2j + 4k) - (4ai + 4bj + 4ck) = 3i + 2j - 3k

open brackets

-6i + 9j + 3k + 2i + 2j - 4k - 4ai - 4bj - 4ck = 3i + 2j - 3k

collect like terms

-6i + 2i - 4ai + 9j + 2j - 4bj + 3k - 4k - 4ck = 3i + 2j - 3k

i(-4 - 4a) + j(11 - 4b) + k(-1 - 4c) = 3i + 2j - 3k

(c) Solve for a, b and c in step (b)

Comparing both sides of the equation, we have;

-4 - 4a = 3              ----------(*)

11 - 4b = 2              -----------(**)

-1 - 4c = -3             ------------(***)

From (*)

4a = -4 - 3

4a = -7

a = \(\frac{-7}{4}\)

From (**)

4b = 11 - 2

4b = 9

b = \(\frac{9}{4}\)

From (***)

-1 - 4c = -3

4c = -1 + 3

4c = 2

c = \(\frac{2}{4}\)

c = \(\frac{1}{2}\)

Remember that

w = (a, b, c)

w = ai + bj + ck

Therefore,

w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

(B) TO FIND -2u + 3v - 5w

Remember that;

u = (−2, 3, 1)

v = (−1, −1, 2),

w = \((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

Substitute u, v, w into the expression as follows;

-2(−2, 3, 1) + 3(−1, −1, 2) - 5\((\frac{-7}{4} , \frac{9}{4}, \frac{1}{2})\)

Expand

(4, -6, -2) + (−3, −3, 6) - \((\frac{-35}{4} , \frac{45}{4}, \frac{5}{2})\)

Collect like terms

(4-3+\(\frac{35}{4}\), -6-3-\(\frac{45}{4}\), -2+6-\(\frac{5}{2}\))

Solve

(\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

Therefore, -2u + 3v - 5w = (\(\frac{39}{4}\), \(\frac{-54}{4}\), \(\frac{3}{2}\))

Answer:

9

Step-by-step explanation:

Log₃27³

Recall that 27 = 3³

Hence

Log₃27³ = Log₃3³⁽³⁾ = Log₃3⁹

From the laws of logarithms, we know that

Logₐa = 1 and Log aˣ = xLog a

As such, applying both laws

Log₃3⁹ = 9Log₃3

since Log₃3 = 1

9Log₃3 = 9 * 1

= 9

Answer:hi

Step-by-step explanation:

Answer:

x - 4 yards.

Step-by-step explanation:

Given:

Area of rectangle = 3x^2 - 12x square yards

Width = 3x yards

To find:

Length of rectangle

Solution:

The area of a rectangle is equal to the product of its length and width.

Area of rectangle = Length * Width

Substituting the given values, we get:

3x^2 - 12x = Length * 3x

Length =( 3x^2 - 12x )3x

Length = x-4

Therefore, the length of the rectangle is x - 4 yards.

Answer: The length of the rectangle is x - 4 yards.

Step-by-step explanation:

We can create an equation to solve this word problem, where the variable L = length.

3x  ×  L  = \(3x^2 - 12x\)

We need to solve for the variable L, to find the length of the rectangle.

First lets factor the right side of the equation to make it easier to divide with.

3x  ×  L  = \(3x^2 - 12x\)

We can factor out 3x from the right side of the equation.

3x  ×  L  = 3x(x - 4)

Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.

3x ×  L  = 3x(x - 4)

/3x           /3x

L = x - 4

The length of the rectangle is x - 4 yards.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1 m&m

Step-by-step explanation:

in order to find out how many will be left you will make the number of m&ms even causing it to have an even amount left over.

Answer:

second one

Step-by-step explanation:

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

Read more on function here: brainly.com/question/27862183

#SPJ1

Given

Stan's employer pays for 48% of his annual health insurance premium of $4,555.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year.

Answer

Remaining amount = 4555-2186.4 = 2386 . 6

Answer:

  D.  13

Step-by-step explanation:

The first step in evaluating a piecewise function at a particular point is to find the piece that includes the point.

For x = 0, the relevant domain specification is x ≤ 0, the one applicable to the third piece. That piece of the function definition tells you ...

  f(0) = 13

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement.

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ1

The complete question is attached below.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Based on the figure on the graph, match the described transformations with the transformed figures.

Reflected across the x-axis

Rotated 180° clockwise

Translated 9 units to the Right and 2 units down

Reflected across the y-axis

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Multiply a number by 2 and then find the product of the number obtained with 3 is the statement required

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given here: The equation 3(2x)=6x

Clearly here the associative property of multiplication is used above

First, a number x is multiplied by 2

Then the number obtained above i.e 2x is multiplied again by 3

Thus the word problem can be of the form

Multiply a number by 2 and then find the product of the number obtained with 3

Hence, Multiply a number by 2 and then find the product of the number obtained with 3 is the statement required

Learn more about algebraic expression here:

https://brainly.com/question/29078851

#SPJ1

Answer:

9

Step-by-step explanation:

You don't need to pass through each edge once.

If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:

A-1-B

A-B

A-2-B

A-1-B-A-2-B

A-2-B-A-1-B

A-B-1-A-2-B

A-B-2-A-1-B

A-1-B-2-A-B

A-2-B-1-A-B

Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.

Hope this helps!

1. First, we need to find the volume of the hemisphere bowl:

V_bowl = (2/3)πr^3

V_bowl = (2/3)π(6 cm)^3

V_bowl = 288π cm^3

Since water fills two-fifths of the volume, we can find the volume of water:

V_water = (2/5)V_bowl

V_water = (2/5)(288π cm^3)

V_water = 115.2π cm^3

2. Now, we need to find the radius and height of the cone to which the water is poured. Let's call the radius of the cone r and the height h. We know that the volume of the cone is equal to the volume of the water in the bowl:

V_cone = V_water

(1/3)πr^2h = 115.2π

r^2h = 345.6

We also know that the depth of the water in the cone is 12 cm, so h = 12 cm. Substituting this value into the equation above, we get:

r^2(12 cm) = 345.6

r^2 = 28.8

r ≈ 5.36 cm

So, the radius of the cone is approximately 5.36 cm, and the height is 12 cm.

Answer:

1/3 RISE/RUN

Step-by-step explanation:

Answer:

12x+9

Step-by-step explanation:

To find the perimeter, add all the sides

3x+8  + 4x-1  + 5x +2

Combine like terms

3x+4x+5x   +8-1 +2

12x+9

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

More can be learned about rational functions at brainly.com/question/1851758

#SPJ1

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

More can be learned about dot plots at https://brainly.com/question/24309209

#SPJ1

The vertex is ( 6 , 1 ). The vertex of the graph of the equation maximum.

What is parabola in math?

Each point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. All of the parabola-related ideas are discussed here since it is a crucial component of the conic section subject.

the equation  y = -x² + 6x + 1

  Use the formula: -b/2a

       = -6/-1

       = 6

The x-coordinate of the vertex is 6

Plug the x value back into the original equation to find the y-coordinate of the vertex

     y = -x² + 6x + 1

        = -(6)² + 6 * 6 + 1

        = -36 + 36 + 1

        = 1

The vertex is = ( 6 , 1 )

Learn more about parabola

brainly.com/question/31142122

#SPJ1

Given:

To Determine: The natural logarithm form of the given logarithms

Solution

The natural logarithm of x is the base e logarithm of x. This is as shown below

Apply the rule above into the given logarithm

Hence,

Answer:

e, 1/12

Step-by-step explanation:

1) turn the first fraction into a whole number, the closest whole number being 1.

what did you multiply 1/2 by to get 1? the answer would be 2.

whatever you do to oneside, do to the other. when you multiply 6 by 2, you get twelve.

therefore, the answer is 1/12

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

For such more questions on Scale Factor: Find Actual Length

https://brainly.com/question/28684532

#SPJ8

Answer:

Answer:

the answer will be 74.700

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

simply add all the terms and simplify

3^x + 10x + 4x - 2

3^x + 14x - 2

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation: