3. Richard owns a plumbing company. He charged one client $72 for two hours of work and another client $162 for
five hours of work.
b. What information were you given?
a. Define your variables
c. Create an equation using the information you were given.
d. How much does Richard charge per hour? e. If Richard was working for you from 11:00am to
2:30pm, how much would he charge you?

Answer:

(c)- 4/13

Step-by-step explanation:

There are 4 types of cards in a ordinary deck clovers, diamands, hearts, and spades

each set has 1 seven each, so 4 sevens total.

Also, each type of card has 13 different cards in it

so, your answer is 4/13

Answer:

498

Step-by-step explanation:

6 × 83

Using distiributive property

We can solve the expression by using a method called decomposing the multiplier.

= 6 × (80 + 3)

= 6 × 80 + 6 × 3

= 480 + 18

= 498

Answer: experimental

Step-by-step explanation:

In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.

Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.

i read in class 4 but I don't explain the answer

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

For more questions like Minor axis click the link below:

https://brainly.com/question/29054958

#SPJ4

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Given statement :

Jayson planted 3 rows of seedlings in pots. Each row had 12 seedlings.

now, let's Answer the questions asked :

1. How many seedlings did he planted in all ?

2. What did Jayson plant in pots ?

3. How many rows of seedlings are there ?

4. How many seedlings does each row have ?

5. What is asked in the problem ?

6. How can we mentally find the answer to the problem ?

that is :

Answer:

5

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= 5

Yes, infrared spectroscopy would indeed be helpful in determining,

if the dehydration reaction of cyclohexanol to form cyclohexene was successful in an organic chemistry lab.

Infrared spectroscopy (IR spectroscopy) is a widely used analytical technique in organic chemistry,

That provides information about the functional groups present in a compound.

It measures the absorption of infrared radiation by the sample,

Which corresponds to the vibrations of different chemical bonds in the molecule.

In the case of cyclohexanol and cyclohexene, there is a significant difference in their functional groups.

Cyclohexanol contains an -OH group alcohol, whereas cyclohexene contains a carbon-carbon double bond alkene.

These functional groups have characteristic absorption bands in the IR spectrum.

By comparing the IR spectra of the starting material cyclohexanol and the desired product cyclohexene.

One can determine if the dehydration reaction was successful.

The presence or absence of characteristic absorption bands for the alcohol (-OH) and the alkene (C=C).

In the product spectrum can provide evidence of the reaction's success.

If the desired cyclohexene is formed, the absorption band corresponding to the -OH group should disappear,

Indicating the removal of the alcohol functionality.

Additionally, a new absorption band corresponding to the C=C bond should appear in the product spectrum.

Therefore, IR spectroscopy can be a valuable tool in confirming the success of the dehydration reaction and characterizing the functional groups present in the resulting product.

Learn more about spectroscopy here

brainly.com/question/28207006

#SPJ4

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

To learn more about matrix visit:

brainly.com/question/29239316

#SPJ11

Answer: 22

Step-by-step explanation:

11 - 6 = 5

4 x 5 = 20

20 + 2 = 22

' pls can i have brainliest? i need it for my goal'

Answer:

22

Step-by-step explanation:

Solve whats in the paranthesis: (11-6) = 5

New problem: 4(5) + 2

Then multiply: 20+2

Finally add both numbers together: 22

Answer:

\(y = 4.2x\) is a linear equation.

Step-by-step explanation:

The slope-intercept form of the line or linear equation is of the form

\(y = mx+b\)

where

\(m\) represents the slope

represents is the y-intercept

In our case, the given equation is

\(y = 4.2x\)

comparing with the slope-intercept form of the line or linear equation

\(y = mx+b\)

Thus,

As the equation \(y = 4.2x\) resembles the linear equation \(y = mx+b\) of the line.

Hence, \(y = 4.2x\) is a linear equation.

Please also check the attached graph of the linear equation  \(y = 4.2x\) .

Important Tips:

∴ \(y = 4.2x\) is a linear equation.

If u is a combination of v1, v2, v3, it implies that u can be expressed as a linear combination of those vectors. By setting the coefficient of v4 to 0, we can still represent u in the same form while including v4, thereby confirming that u is also a combination of v1, v2, v3, v4.

If u is a combination of v1, v2, v3, it means that we can express u as a linear combination of v1, v2, v3. In other words, we can find coefficients (scalars) such that:

u = c1 * v1 + c2 * v2 + c3 * v3,

where c1, c2, and c3 are scalars.

Now, let's consider the set of vectors v1, v2, v3, v4. We know that u is a combination of v1, v2, v3. So, we can express u as:

u = c1 * v1 + c2 * v2 + c3 * v3.

To show that u is also a combination of v1, v2, v3, v4, we need to demonstrate that we can express u using the same coefficients but also include v4 in the linear combination. In other words, we need to find a scalar c4 such that:

u = c1 * v1 + c2 * v2 + c3 * v3 + c4 * v4.

To do this, we can simply set c4 to 0, because multiplying v4 by 0 does not affect the sum. Therefore, we can express u as a combination of v1, v2, v3, v4 by setting c4 = 0:

u = c1 * v1 + c2 * v2 + c3 * v3 + 0 * v4.

By including v4 with a coefficient of 0, we have not changed the expression of u as a linear combination of v1, v2, v3. Thus, u is indeed a combination of v1, v2, v3, v4.

In summary, if u is a combination of v1, v2, v3, it implies that u can be expressed as a linear combination of those vectors. By setting the coefficient of v4 to 0, we can still represent u in the same form while including v4, thereby confirming that u is also a combination of v1, v2, v3, v4.

To know more about combination refer here:

https://brainly.com/question/30892868

#SPJ11

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

learn more on polygon here: https://brainly.com/question/32120346

#SPJ1

Answer:

Explanation:

Parameters:

Principal, P = $78,000

Interest rate, R = 9%

Time, T = 2 months OR 2/12 = 1/6 years

Interest = ?

The formula for simple interest is:

I = PRT/100

The equation of the perpendicular bisection that passes through the point (2,6) and has a slope -3/2 is  y-6 = -3(x-2)/2 and this can be determined by using the point-slope form of the line.

Given :

Endpoints  -- (8,10) and (-4,2)

The following steps can be used in order to determine the equation of the perpendicular bisector:

Step 1 - First, determine the slope of the line that passes through points (8,10) and (-4,2).

m = 2 - 10 / -4 - 8

m = 2 /3

Step 2 - So, the slope of the perpendicular bisector is given by:

m.m' = -1

m' = -3/2

Step 3 - Now, determine the midpoint of the line that passes through the points (8,10) and (-4,2).

x = (8 - 4)/2 = 2

y = 6

Step 4 - So, the equation of the perpendicular bisection that passes through the point (2,6) and has a slope -3/2 is:

y-6 = -3(x-2)/2

Learn more about perpendicular bisector at:

brainly.com/question/11897796

#SPJ1

Answer:

D)45,90 90 this is the answer

Answer:

C) 30, 60, 90

Step-by-step explanation:

all three angles must add up to 180

The area of the whole mosaic is 455.11 square feet

From the question, we have the following parameters that can be used in our computation:

The area of the whole mosaic is calculated as

Area = Area of the array * the square of each length

using the above as a guide, we have the following:

Area = 8 * 8 * (2 2/3)²

Evaluate

Area = 455.11

Hence, the area of the whole mosaic is 455.11 square feet

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer:

I think the image above will help you

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"Mr. Anderson cuts a piece of metal in the shape of the triangle shown. The piece of metal has an area of 7 1/2 square feet. What is the base of the piece of metal? triangle 5ft high"

Area of the triangle = 1/2 * base * height

Given the area of the piece metal = 7 1/2 ft² and its height = 5ft (since the triangle is 5ft high). On substituting the values in the formula;

7 1/2 = 1/2* base * 5

15/2 = 5/2 * base

15 = 5 * base

base = 15/5

base = 3ft

The base of the piece of metal is 3ft

Answer:

We first need to know what X & Y is...

Step-by-step explanation:

Answer:

35 ; 6

Step-by-step explanation:

The directional derivative of f(x,y,z) = xy cos(5yz) at the point (2,6,0) in the direction of the vector is -(354/(27)).

To find the directional derivative of the function f(x, y, z) = xy cos(5yz) at the point (2,6,0) in the direction of the vector i-5j+k, we need to first find the gradient of the function at that point.

The gradient of f(x,y,z) is given by:

∇f(x,y,z) = <∂f/∂x, ∂f/∂y, ∂f/∂z>

Taking partial derivatives of f(x,y,z), we get:

∂f/∂x = y cos(5yz)

∂f/∂y = x cos(5yz) * (-5z)

∂f/∂z = x cos(5yz) * (-5y)

Substituting (2,6,0) into these partial derivatives, we get:

∂f/∂x(2,6,0) = 6 cos(0) = 6

∂f/∂y(2,6,0) = 2 cos(0) * (-5*0) = 0

∂f/∂z(2,6,0) = 2 cos(0) * (-5*6) = -60

Therefore, the gradient of f(x,y,z) at (2,6,0) is:

∇f(2,6,0) = <6, 0, -60>

To find the directional derivative in the direction of the vector i-5j+k, we need to take the dot product of this gradient with a unit vector in that direction.

The magnitude of i-5j+k is:

|i-5j+k| = (1^2 + (-5)^2 + 1^2) = (27)

Therefore, a unit vector in the direction of i-5j+k is:

u = (1/(27))i - (5/(27))j + (1/(27))k

Taking the dot product of ∇f(2,6,0) and u, we get:

∇f(2,6,0) · u = <6, 0, -60> · [(1/(27))i - (5/(27))j + (1/(27))k]

= (6/(27)) - (300/(27)) - (60/(27))

= -(354/(27))

To know more about directional derivative refer here:

https://brainly.com/question/29451547#

#SPJ11

Answer:

7

Step-by-step explanation:

The start this question by looking at two important things, how much money we have and how much money it costs per person. The friends have a total of $284.25 and we don't know how much it costs per person. To find this we must set up an equation and solve it!

Because each person must pay for parking and a ticket, we can find the cost for one person by adding the parking and ticket cost together.

$9.25 + $27.50 = $36.75

Now that we have solved this equation, we know that it costs $36.75 for one person. To find how many total people can go we dived the total amount of money we have by how much it costs per person. Let's call the number of people that can go 'p'.

p = \(\frac{284.25}{36.75}\)

Once we simplify/solve this equation we get 7 \(\frac{36}{49}\) so essentially, we get the whole number 7 and a long decimal, but the only important part is the 7. We take the whole number from our answer which is 7.

We now know the answer: 7.

Let's check our work!

7 * 36.75 = 257.75

284.25 - 257.75 = 26.5

26.5 < 36.75 so we are correct!

The final answer is 7!

Have an amazing day!

Answer:

a) $3000

Step-by-step explanation:

a)

interest = Principal x rate as decimal x time

interest = 15,000 x 0.05 x 4

interest = 3000

The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

Learn more about the area of the triangle here:

https://brainly.com/question/19305981

#SPJ4

The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

To learn more about Area of triangle, here

https://brainly.com/question/20934807

#SPJ4

the line's equation, written in standard form as 2x + 3y = 4, is y=-2/3x+4.

A linear equation is an algebraic equation of the form ax + by = c, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a linear equation  y= -2/3x + 4

from the general formula of standard form

The standard form for linear equations in two variables is Ax+By=C.

From equation 1

y = -2/3x + 4

multiply by 3 on both sides

3y = -2x +4

Taking variable terms on one side

2x + 3y = 4

therefore,  the equation of the line represented by y=-2/3x+4 in standard form as 2x + 3y = 4.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ