What is the value of k?
k=

Equation to represent l the length of rabbit pen in feet as function of w, width in feet is l = (24 - w) / 2.

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are several uses in real life for perimeter calculations.

The area is the volume a flat, two-dimensional item occupies in a plane. The space occupied by a three-dimensional object is referred to as its volume. Area is measured in square units. Volume is measured in cubic units.

Let's say that the width of the rabbit pen is w feet, and the length of the rabbit pen is l feet. Since Tyler wants to fence in three sides of the pen, and he has 24 feet of fencing, we can represent this as an equation:

w + l + l = 24

This equation says that the width of the pen plus twice the length of the pen is equal to 24 feet.

Alternatively, you could write this equation as:

l= (24 - w) / 2

This equation says that the length of the pen is equal to half of the difference between 24 and the width of the pen.

To learn more about perimeter of rectangle visit:

https://brainly.com/question/14546734

#SPJ4

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

\(f(x) = \sqrt{x}\)

Which increases on (0, ∞).

The translated function is given by:

\(g(x) = -2\sqrt{x - 3}\)

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

56 will be sick after 4 weeks.

Step-by-step explanation:

900 / 2 = 450 (Week 1)

450 / 2 = 225 (Week 2)

225 / 2 = 112.5 (Week 3)

112.5 / 2 = 56.25 (Week 4)

(Rounding to a whole number since there can't be a quarter of a child)

Answer:

56.25 students would still be sick after 4 weeks

Answer:

I do

Step-by-step explanation:

Can you help me? pls thank you

Answer:

no thank you//////////////////////

Step-by-step explanation:

2(4x - 1)=-10(x-3)+4

8x-2=-10x+30+4

8x + 10x=34+2

18x=36

x=36/18

x=2 ans

The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120

The modulo (or "modulus" or "mod") is the remainder after dividing one number by another.

The smallest integer is 120, since:

\(120^{2}\) mod 18 = 0, (reminder after dividing \(120^{2}\) by 18 is 0) and

\(120^{3}\) mod 640 = 0 (reminder after dividing \(120^{3}\) by 18 is 0)

Hence, The smallest positive integer n for which n^2 is divisible by 18 and n^3 is divisible by 640 is 120.

Learn more about Divisibility here

https://brainly.com/question/8226236

#SPJ4

In quantitative research, rigor refers to the amount of control and precision exerted by the methodology used. Option (3) is the correct answer.

It involves ensuring that the research is conducted in a systematic and structured manner, with strict adherence to established procedures and protocols. Rigor is achieved by carefully defining research variables, selecting appropriate data collection methods, and using statistical analyses to ensure the accuracy and reliability of the data. The aim is to minimize bias and error in the research process so that the findings can be considered trustworthy and generalizable to a broader population.

Rigorous quantitative research requires careful planning, attention to detail, and a high level of technical expertise. The process of synthesizing findings to form conclusions from a study is also an important aspect of rigor, as it involves carefully interpreting the data in light of the research questions and hypotheses. In summary, rigor in quantitative research involves the highest level of control and precision in all aspects of the research process, from design to analysis and interpretation.

To learn more about Quantitative :

https://brainly.com/question/29554019

#SPJ11

Answer:

Step-by-step explanation:

k

Answer:

37.5 cm^2

Step-by-step explanation:

2.5 * 3.5 = 6.25

6.25 x 6 is 37.5

Answer: Deep inside Earth, between the molten iron core and the thin crust at the surface, there is a solid body of rock called the mantle. When rock from the mantle melts, moves to the surface through the crust, and releases pent-up gases, volcanoes erupt. Extremely high temperatures and pressure cause the rock to melt and become liquid rock or magma. When a large body of magma has formed, it rises through the denser rock layers toward Earth's surface.  Magma that has reached the surface is called lava.

Step-by-step explanation:

The given identity, sin(x+y)cos(x-y) = sin(x)cos(x) + sin(y)cos(y), is verified by simplifying the left-hand side (LHS) and showing that it is equal to the right-hand side (RHS).

By using Product-to-Sum and Double-Angle identities, we can manipulate the LHS to match the RHS.

First, we apply the Product-to-Sum identity to the LHS: sin(x+y)cos(x-y) = 1/2(sin(2x) + sin(2y)). This simplifies the expression to 1/2(sin(2x) + sin(2y)).

Next, we use the Double-Angle identities: sin(2x) = 2sin(x)cos(x) and sin(2y) = 2sin(y)cos(y). Substituting these identities into the previous expression, we have 1/2(2sin(x)cos(x) + 2sin(y)cos(y)).

Simplifying further, we get sin(x)cos(x) + sin(y)cos(y), which is equal to the RHS of the given identity.

Therefore, by applying the Product-to-Sum and Double-Angle identities, we have verified that the LHS of the identity is equal to the RHS, confirming the validity of the identity.

To learn more about Double-Angle identities click here: brainly.com/question/30402758

#SPJ11

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

Answer:

5m

Step-by-step explanation:

Answer:

$64

Step-by-step explanation:

Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80

Then we have to find 80% of 80

80%=0.80

0.80*80=64

The sale price is $64

Answer:

34°

Step-by-step explanation:

m∠1 = 34° (Given)

m∠5 = m∠1 (corresponding angles)

\(\implies m\angle 5 =34\degree\)

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Answer:

6.3 x 10= 63

6.3 x 10= 630

6.32 x 10= 63.2

6.32 x 100= 632

Step-by-step explanation:

Move the decimal to the right however many zeros there are in the whole number

Answer:

x = 3

Step-by-step explanation:

5(x + 2)- 12 = 3x + 4

5x + 10 - 12 = 3x + 4

5x - 3x = 4 - 10 + 12

2x = 6

x = 3

Answer:

x=3

Step-by-step explanation:

5(x+2)-12= 3x +4

5x + 10 -12= 3x + 4

10-12= -2x + 4

6-12= -2x

-6= -2x

-6/ -2= 3

sin(30°) = ½

Sin(30°) have the value of √1/2 which gives ½

Answer:

people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get

The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

Learn more about the powers of 10 here:

https://brainly.com/question/13303295

#SPJ4

None of the above gives the complete set of true responses for the probability that the event does not happen.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

None of the above provides the entire set of accurate replies for the likelihood that the event does not occur.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Answer:

456 \(cm^{2}\)

Step-by-step explanation:

Find the height of the trapezoid first (QR):

\(\sqrt{37^{2} -35^{2} }\) = 12

QR = 12

Area:

\(\frac{a+b}{2}\) × h = \(\frac{35+41}{2}\) × 12

           = 456 \(cm^{2}\)

3/2 is the answer

i say this because you have to think of the problem as  

4y=6x

divide the 4

y=6x/4

simplify

3/2

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Answer:

multiply 8 x 4=22

Answer:

Step-by-step explanation:

C the probability that a customer buys a hat given that the customer has bought a sweater.