Answer the questions below. When you are finished, save your work and submit this assignment to the
associated folder by the due date for full credit. Please make sure to show all the work needed to support
each of your answers.
Total score: ____ of 15 points
(Score for Question 1: ___ of 8 points)
1. Jo’s rectangular dining room is 7 feet wide and 4 feet long. Mike wants to install a new wood floor and
new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORk will give brainlyst

Answer:

x=60

y=32

z=116

Step-by-step explanation:

HTH :)

Answer:

All real numbers with vertical asymptotes at -2 and 6

Step-by-step explanation:

The domain of the function is all the possible x values of the function, so the solution is all real numbers with vertical asymptotes at -2 and 6 because the values never cross here.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The numbers from least to greatest are arranged as -

-3.2, -0.32, 3/2, 2

Given is the sequence of numbers as -

-0.32, - 3.2, 2, 3/2​

The given sequence of numbers is -

-0.32, -3.2, 2, 3/2​

The numbers from least to greatest are -

-3.2, -0.32, 3/2, 2

Therefore, the numbers from least to greatest are arranged as -

-3.2, -0.32, 3/2, 2.

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tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.

To find the value of tan 145°, we can use the relationship between tangent and cotangent:

tan x = 1 / cot x

Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:

csc 55° = 1 / sin 55°

To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):

sin 55° = cos (90° - 55°)

       = cos 35°

Now, we need to find the value of cos 35°. We can use a trigonometric identity:

cos (90° - θ) = sin θ

cos 35° = sin (90° - 35°)

       = sin 55°

Substituting this value back into the equation, we have:

csc 55° = 1 / sin 55°

       = 1 / cos 35°

Now, let's find the value of tan 145° using the relationship between tangent and cotangent:

tan 145° = 1 / cot 145°

Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:

tan 145° = 1 / sin 145°

To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):

sin 145° = sin (180° - 145°)

        = sin 35°

Now, we have:

tan 145° = 1 / sin 145°

        = 1 / sin 35°

Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:

tan 145° = 1 / sin 35°

        = csc 55°

Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.

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Answer:

Answer: -1

Step-by-step explanation:

The Polynomial Remainder Theorem

It states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).

We have the polynomial:

\(f(x)=x^3+x^2+x+1\)

And we need to determine if x=1 and/or x=-1 are zeros of the polynomial.

Considering the polynomial remainder theorem, if we try any value for x, and the remainder is zero, then that value of x is a root or zero of the polynomial.

Find:

\(f(1)=1^3+1^2+1+1\)

f(1)=4

Thus, x=1 is not a zero of f(x)

Now, find:

\(f(-1)=(-1)^3+(-1)^2+(-1)+1\)

\(f(1)=-1+1-1+1=0\)

Thus, x=-1 is a zero of f(x)

Answer: -1

Answer:

12/1 times 1/8 = 1.5

Step-by-step explanation:

You multiply 12 by 1 to get 12, then divide 12 by 8 to get 1.5

Answer:

$5193.77

Step-by-step explanation:

You want to figure out what x is.

Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.

Then, plug x = 9 into the equation:

y = 11,000(0.92)^9

Plug this into a calculator and you get: y = $5193.77

Answer:

the answer would be 20.

Step-by-step explanation:

-

Answer:

\((((-2)^{4} )/(-4))-(2*(-3)*(8-4))\\\) = 20

Step-by-step explanation:

breaking into 2 parts:

calculate within parenthesis: \((((-2)^{4} )/(-4))\) = 16/(-4) = -4

calculate within parenthesis: (2*(-3)*(8-4)) = (2*(-3)*(4)) = -24

add and subtract (left to right): -4-(-24)=20

The limiting speed of particle is: 12 cm/sec.

We have the following information available from the question:

A particle is falling in a viscous liquid.

We have to assume that the drag force is 245  dyn-isec/cm times cm the velocity.

If the mass of the particle is 10 grams, the limiting speed in cm is sec.

We have to find the limiting speed in cm is sec.

Now, According to the question:

The mass of particle is given as 6 grams.

Suppose the limiting speed be x cm/s.

6 × 980 = 490x

⇒ x = (6 × 980)/490

⇒ x = 12

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The probability that client G you’re considering for a 30-year policy, lives to be 48 years old is 99.90%

The question is incomplete, because a probability table is required to answer this question

From the table in the complete question, the required probability is:

P = 0.998986

Express as percentage

P = 99.8986%

Approximate to 2 decimal places

P = 99.90%

Hence, the required probability is 99.90%

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Answer:

93.526 percent chance of living up to 48 years old

Step-by-step explanation:

\(\frac{93,526}{100000}\)= 0.93526

0.93526= 93.526

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The product using the distributive property is 12z+8y²-8x+16 in the standard form.

The distributive law, which states that a × (b + c)=(a × b)+(a × c), is generalized by the distributive property of binary operations.

In every scenario, the distributive property can be summed up as follows:

Each summand (or minuend and subtrahend) is multiplied by this factor, and the resulting products are added, to multiply a sum (or difference) by a factor (or subtracted).

This concept states that multiplying the sum of two addends by a number will produce the same outcome as multiplying each addend separately by the number and then adding the results.

Given product: 4×(3z+5+2y²-2x-1)

Using the distributive property we can write it as:

= (4×3z)+(4×5)+(4×2y²)-(4×2x)-(4×1)

= 12z+20+8y²-8x-4

= 12z+8y²-8x+16

So the product using the distributive property is 12z+8y²-8x+16 in the standard form.

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Answer:

Step-by-step explanation:

13). ( x - 2 )( x + 6 ) = 9 × 20

x² + 4x - 12 = 180

x² + 4x - 192 = 0

( x - 12 )( x + 16 ) = 0

\(x_{1}\) = - 16

\(x_{2}\) = 12

14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )

( x + 4 )( 4x + 4 ) = 216

4( x + 4 )( x + 1 ) = 216

( x + 4 )( x + 1 ) = 54

x² + 5x + 4 - 54 = 0

x² + 5x - 50 = 0

( x - 5 )( x + 10 ) = 0

\(x_{1}\) = - 10

\(x_{2}\) = 5

15). x( x + 16 ) = 15²

x² + 16x - 225 = 0

( x - 9 )( x + 25 ) = 0

\(x_{1}\) = - 25

\(x_{2}\) = 9

16). Now is your turn. You can do it!

The measurements are given in the solution below.

Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.

Given that the circles we need to find the given missing values,

Using the properties of the circles,

1) (x-2) (x+6) = 20 × 9

x² + 6x - 2x - 12 = 180

x² + 4x - 192 = 0

x = 12 or x = -16.

2) 8 × (8+19) = x+4 (x+4 + 3x)

216 = x + 4 × (4x + 4)

216 = 4x² + 4x + 16x + 16

4x² + 20x - 200 = 0

x² + 5x - 50 = 0

x = 5 or x = -10

3) 15² = 16x

x = 225/16

x = 14.06
4) (x+7)² = 18 × 14

x² + 49 + 14x = 252

x² + 14x - 203 = 0

x = 8.87

x = -22.87

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The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x)  is 5.9834

The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.

For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323

For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834

So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.

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The cross sectional area would be  3.33 * 10^-3 m^2.

The cross-sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder - is sliced perpendicular to some specified axis at a point.

To find the cross-sectional area of the tendon, we need to use the equation for stiffness, which is:

Stiffness = Force / (Cross-sectional area * Change in length)

Rearranging the equation to solve for cross-sectional area,

we get:

Cross-sectional area = Force / (Stiffness * Change in length)

Plugging in the given values, we get:

Cross-sectional area = (10 kN) / (10 kN/m * 0.03 m)

Cross-sectional area = 1 / 0.3

Cross-sectional area = 3.33 * 10^-3 m^2

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Sally Rose's new balance is $3,282.35, and option (b) is the correct answer.

Sally Rose's charge account statement contains information about her previous balance, finance charge, new purchases, and payment. To determine her new balance, we need to take the previous balance, add the finance charge and new purchases, and then subtract the payment.

Starting with the previous balance of $6,472.82, we add the finance charge of $12.95 and new purchases of $1,697.08 to get a total of:

$6,472.82 + $12.95 + $1,697.08 = $8,182.85

Next, we subtract the payment of $4,900.50 to get the new balance:

$8,182.85 - $4,900.50 = $3,282.35

It's important to keep track of credit card balances to avoid accumulating too much debt and paying high interest charges. When making credit card payments, it's a good idea to pay more than the minimum amount due, which can help reduce the balance faster and save money on interest charges over time. The answer is option b).

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Answer:

y=2x-3

Step-by-step explanation:

First, find slope of the line.

You can do this by: -5-(-3)/-1-0

This simplifies to 2. So, slope is equal to 2.

y-intercept is already given, (0,-3).

So, equation is y=2x-3

The experimental research provides higher control and allows for stronger causal inferences, while quasi-experimental research is more suitable when random assignment is not feasible.

Experimental and quasi-experimental research are two approaches used in scientific studies, but they differ in terms of their design and the level of control over variables.

⇒ Experimental research involves the manipulation of an independent variable to observe its effects on a dependent variable, while controlling for potential confounding variables. It assigns random assignment of participants to different conditions, allowing for causal inferences.

The researcher has control over the variables and can establish cause-and-effect relationships.

⇒ On the other hand, quasi-experimental research lacks random assignment of participants. Instead, pre-existing groups or naturally occurring variations are used. The researcher still manipulates the independent variable but cannot randomly assign participants. This limits the ability to establish strong causal relationships.

⇒ Quasi-experimental designs are used when random assignment is not possible. They are useful for studying phenomena in real-world settings, but caution must be exercised in drawing definitive causal conclusions.

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The main difference between experimental and quasi-experimental research is that experimental research involves random assignment and control groups, while quasi-experimental research lacks random assignment and control groups.

Experimental and quasi-experimental research are two common research designs used in social sciences and other fields. They differ in terms of random assignment, control groups, and the establishment of causality.

Experimental Research:

quasi-experimental research:

Overall, experimental research provides stronger evidence for cause-and-effect relationships, while quasi-experimental research is used when random assignment is not possible or practical.

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After answering the presented question, we can conclude that equation Therefore, the answer is: 8 adults and 12 children went to the movies.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

system of equations -

\(x + y = 20 \\9x + 6y = 144 \\x = 20 - y\\9(20 - y) + 6y = 144\\180 - 3y = 144\\-3y = -36\\y = 12\\x + 12 = 20\\x = 8\\\)

So there were 8 adults who went to the movies.

Therefore, the answer is: 8 adults and 12 children went to the movies.

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The measure of length of a 12.83.

The value of angle B is 71 and angle C is 55.

The measure of length of a is calculated by applying cosine rule as shown below.

a² = 13² + 15² - 2(13 x 15) cos54

a² = 164.8

a = √ (164.8)

a = 12.83

The value of angle B is calculated as follows;

sin B/15 = sin 54/12.83

sin B = 15 x ( sin 54/12.83)

sin B = 0.9458

B = sin⁻¹ (0.9458)

B = 71⁰

The value of angle C is calculated as follows;

A + B + C = 180

54 + 71 + C = 180

C = 180 - 125

C = 55⁰

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The response of an LTI system to each signal should be simple enough in structure to provide us with a convenient representation of the response of the system to any signal constructed.

as a linear combination of the basic signal, Both of these properties are provided by Fourier analysis, The importance of complex exponentials in the study of the LTI system is that the response of an LTI system to a complex exponential input is the same complex exponential with only a change.

in amplitude; that is Continuous time: st e ® H(s)e, (3.1) Discrete-time: n n z ® H(z)z, (3.2) here the complex amplitude factor H(s) or H(z) will be in general be a function of the complex variable s or z, A signal for which the system output is a (possibly complex) constant times the input is referred.

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Logarithmic function log₍ₓ₊₂₎(4) = 3x can be written in exponential form as  4 = 3x ⁽ˣ⁺²⁾

Which property of log function is used?

The properties of log are nothing but the rules of logarithms and these are derived from the exponent rules.

These properties of logarithms are used to solve the logarithmic equations and to simplify logarithmic expressions.

A log function can be written in exponential form using

logₐ m = x ⇒ m = ax

According to the given question:

The given logarithmic function is

log₍ₓ₊₂₎(4) = 3x

On applying the property we get

4 = 3x ⁽ˣ⁺²⁾

Hence the required exponential form is 4 = 3x ⁽ˣ⁺²⁾

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

To determine the probability that Paul will not eat the pizza Chef Carl has made, we need to calculate the probability of Chef Carl selecting mushrooms as one of the toppings.

First, let's calculate the total number of possible combinations of two different toppings that Chef Carl can choose from the given options. Since order does not matter, we can use the combination formula:

C(n, r) = n! / (r! * (n-r)!),

where n is the total number of options and r is the number of choices. In this case, n = 5 (the number of toppings) and r = 2 (the number of choices).

C(5, 2) = 5! / (2! * (5-2)!) = 5! / (2! * 3!) = (5 * 4) / (2 * 1) = 10.

So there are a total of 10 possible combinations of two different toppings that Chef Carl can choose.

Next, we need to calculate the number of combinations that include mushrooms. Since Paul will not eat pizza with mushrooms, we want to exclude this option.

To choose one topping from the remaining four (excluding mushrooms), there are C(4, 1) = 4 possible choices.

Therefore, the probability that Chef Carl selects a combination with mushrooms is 4/10.

Finally, the probability that Paul will not eat the pizza Chef Carl has made is the complement of this probability, which is 1 - 4/10 = 6/10 = 3/5.

So, the probability that Paul will not eat the pizza is 3/5.

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The probability that Mark selects a car key or door key is 0.3

Mark has a total of 10 keys, and he is equally likely to select any one of them. Out of these 10 keys, there are 2 car keys and 1 door key. Therefore, the probability that he selects a car key or door key is the sum of the probabilities of selecting a car key and a door key.

The probability of selecting a car key is 2/10 or 1/5, since there are 2 car keys out of 10 keys.

Similarly, the probability of selecting a door key is 1/10, since there is only one door key out of 10 keys.

Therefore, the probability of selecting a car key or door key is:

P(car key or door key) = P(car key) + P(door key)

= 1/5 + 1/10

= 3/10

= 0.3

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If Ali took 6 pencils from a new box of pencils and there are 18 pencils left in the box, then there were 24 pencils in the brand new box.

To see why, you can add the number of pencils Ali took to the number of pencils left in the box:

6 + 18 = 24

Therefore, there were 24 pencils in the brand new box before Ali took 6 of them.

Answer:

Exact form: \(\frac{5+\sqrt{3} }{11}\)

Decimal form: 0.61200461...

Step-by-step explanation:

They function by balancing their budgets through a combination of these revenue streams, along with careful budgeting and expenditure management.

Comparing a state without an income tax to one with an income tax, the key differences lie in the tax burden placed on residents and businesses. In the absence of an income tax, individuals in the state without income tax enjoy the benefit of not having a portion of their businesses may find it more attractive to operate in such states due to lower tax obligations. However, these states often compensate for the lack of income tax by imposing higher sales or property taxes.

States without a state income tax, such as Texas, Florida, and Nevada, function by generating revenue from various alternative sources. Sales tax is a major contributor, with higher rates or broader coverage compared to states with an income tax.

Property taxes also play a significant role, as these states tend to rely on this form of taxation to fund local services and public education. Additionally, fees on specific services, licenses, or permits can contribute to the state's revenue stream.

Comparing such a state to one with an income tax, the key differences lie in the tax structure and the burden placed on residents and businesses. In states without an income tax, individuals benefit from not having a portion of their earnings withheld, resulting in potentially higher take-home pay. This can be appealing for professionals and high-income earners. For businesses, the absence of an income tax can make the state a more attractive location for investment and expansion.

However, the lack of an income tax in these states often means higher reliance on sales or property taxes, which can impact residents differently. Sales tax tends to be regressive, affecting lower-income individuals more significantly. Property taxes may be higher to compensate for the revenue lost from the absence of an income tax.

Additionally, the absence of an income tax can result in a greater dependence on other revenue sources, making the state's budget more susceptible to fluctuations in the economy.

Overall, states without a state income tax employ alternative revenue sources and careful budgeting to function. While they offer certain advantages, such as higher take-home pay and potential business incentives, they also impose higher sales or property taxes, potentially impacting residents differently and requiring careful management of their budgetary needs.

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