Find the value of c such that the expression is a​ perfect-square trinomial.k^2-13k+c

Answer:

Option B

Step-by-step explanation:

Given function is,

p(x) = x²- (2√2)x + 1

We have to find the value of p(2√2).

By substituting the value x = 2√2

p(2√2) = (2√2)² - (2√2)(2√2) + 1

           = 8 - (2√2)² + 1

           = 9 - 8

           = 1

Therefore, Option B will be the correct option.

Answer:

7.1 feet

Step-by-step explanation:

Answer:

7.1

Step-by-step explanation:

Answer:

man how am i supossed to know that lol

Answer:

It is d it is a scalene

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: about 260 Lb

Step-by-step explanation:

\(\maltese \: \: \underline{\underline{\frak{Understanding~the~question :-}}} \\ \\\)

For solving this question, we will take the help of the branch of mathematics that studies the sizes of different shapes may they be 2D or 3D, called mensuration.

⠀

There are two parts in the question, in the first part we have been asked to calculate the ratio of the total surface area of the two cubes, for that we will calculate their total surface areas and divide them in order to calculate the ratio. In the second part, we have been asked to calculate the ratio of the volume of the two cubes, and in order to calculate the ratio, at first we will calculate the volumes of the respective cubes and then divide them. And, thus, in this way, we will get our required answer.

⠀

\( \maltese \: \underline{ \underline{ \frak{Given :-}}} \\ \\ \)

Two cubes in which the sides measure,

⠀

\( \maltese \: \: \underline{ \underline{ \frak{Formula~Applied :-}}} \\ \\ \)

\( \bigstar \begin{cases} \sf 1.~Volume_{cube} = {a} ^3\\ \\\sf 2.~T.S.A._{cube} = 6{a}^2\end{cases} \\ \\ \)

\( \maltese \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ \)

Calculating the total surface areas,

⠀

\( \sf \longrightarrow TSA \: of \: A = 6( {1)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A =6 \times 1 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A = {6 \: inch}^{2} \\ \\ \)

\(\sf \longrightarrow TSA \: of \: B =6 {(10)}^{2} \: \: \: \: \: \: \\ \\ \\\sf \longrightarrow TSA \: of \: B =6 \times 100 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: B = {600 \: inch}^{2} \\ \\ \)

Thus, now we can calculate the ratio,

⠀

\(\sf \longrightarrow Ratio = \dfrac{TSA~of~A} {TSA~of~B} \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{1}{100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 100 \: \: \: \: \: \: \\ \\ \)

Thus, the ratio of the total surface area of the cubes is 1 : 100. Now, moving to the second part of the question, and calculating the volume of the cubes, we have,

⠀

\(\sf \longrightarrow Volume \: of \: A= {(a)}^{3 } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {(1)}^{3} \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {1 \: inch}^{3} \\ \\ \)

\(\sf \longrightarrow Volume \: of \: B = {(a)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {(10)}^{3} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {1000 \: inch}^{3} \\ \\ \)

Now, calculating the ratio,

⠀

\(\sf \longrightarrow Ratio =\dfrac{Volume ~of~A} {Volume~of~B} \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{ {1 \: inch}^{3} }{1000 \: {inch}^{3} } \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel\dfrac{ {1 \: inch}^{3} }{ {1000 \: inch}^{3} } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 1000 \: \: \: \: \: \: \: \: \: \: \\ \\ \)

Thus, the ratio of the volume of the cubes is 1 : 1000.

⠀

\( \underline{ \rule{227pt}{2pt}} \\ \\ \)

The number of weeks it will take Emma to afford the £4,104 cruise holiday, found using the ratio of the amount she earns is 12 weeks

A ratio is a relationship between two quantities indicating the number of times one item is contained in the other item, or contains the other item.

The amount of money Emma earns per hour = £9.50

The number of days Emma works per week = 6 days

Number of hours worked per day = 8 hours

The ratio in which Emma shares her wages with Joy = 3 : 1

The cost of the cruise holiday = £4,104

The number of weeks it will take Emma to afford the cruise holiday therefore can be found as follows;

The amount Emma saves per week = (3/4) × 8 × 6 × 9.50 = 342

The number of weeks needed to save = 4,104/342 = 12

Learn more on ratios here: https://brainly.com/question/12024093

#SPJ1

The sampling technique used is convenience sampling, which involves interviewing people at an airport baggage claim.

Convenience sampling is a non-random sampling method where individuals who are easily accessible or readily available are included in the study. In this case, the journalist interviewed people waiting at an airport baggage claim, which suggests that the sample was selected based on the convenience of their location

Convenience sampling has some potential sources of bias. Firstly, the sample may not be representative of the entire population of air travelers, as it only includes individuals present at the baggage claim area. This could lead to a bias towards frequent flyers or individuals who travel for specific reasons. Additionally, the timing of the interviews could introduce bias, as people's feelings of safety may vary depending on recent events or news. For example, if there had been a recent airline accident, respondents may feel less safe compared to a period of relative calm in air travel. These sources of bias could limit the generalizability of the findings to the broader population of air travelers.

Learn more about Convenience sampling

brainly.com/question/30313430

#SPJ11

(a) With a significance level of α=0.05, we would fail to reject the null hypothesis because the p-value of 0.064 is greater than α.

(b) With a significance level of α=0.10, we would reject the null hypothesis because the p-value of 0.064 is less than α.

(c) With a significance level of α=0.01, we would fail to reject the null hypothesis because the p-value of 0.064 is greater than α.

(d) With a significance level of α=0.065, we would reject the null hypothesis because the p-value of 0.064 is less than α.

To know more about hypothesis refer to-

https://brainly.com/question/29519577

#SPJ11

Answer:

Yes, Since pH = 0.8 > pS = 0.64

So, on average, more Happy Airlines flights were on time than Speedy Airlines Flights

Step-by-step explanation:

Since for Speedy Airlines, 64 out of a hundred were on time, the proportion is,

\(pS = 64/100 = 16/25=0.64\\pS=0.64\)

And for Happy Airlines, 80 out of 100 were on time, so,

\(pH = 80/100=4/5\\pH=0.8\)

since pH is greater than pS, so we conclude that there is evidence of a difference in the on-time rate for the two airlines

That is, Happy Airlines flights were on time 80% of the time and Speedy Airlines flights were on time 64% of the time

Answer:

It was the "bare legs" that got my attention.  I'm still looking, but will answer the question in the meantime.

c = 8.602

Step-by-step explanation:

The Pythagorean Theorem tells us that \(a^{2} + b^{2} = c^{2}\)

a = 5. b = 7, so:

5^{2}  + 7^{2} = c^{2}

25 + 49 = c^{2}

c^{2} = 74

c = 8.602

================================

I don't know how to interpret the rest of the post:

"ОА

c=74

OB

c=37

с

c=2137

c=174"

????

I see the bare legs now.  Gotta go.

Answer:

a) 24

b) 12

Step-by-step explanation:

a) For the 4 letters of the word ROCK

Selecting any first letter, we have 4 options

for the second, we have 3 options

for the third we have 2 options

for the fourth, we have only one option

So the number of ways will be ;

4 * 3 * 2 * 1 = 24 ways

b) 2 out of 4

For the first letter, we have 4 options, for the second, we have 3 options

so the number of options is 4 * 3 = 12 options

The correlation coefficient between the square footage and selling prices of three-bedroom homes indicates the strength and direction of their relationship. Based on the correlation coefficient, we can conclude whether the variables are positively or negatively correlated. Using the correlation coefficient, we can estimate the selling price of a house with a given square footage, but the accuracy of the prediction may be limited without additional information or a complete regression analysis.

a. To find the correlation coefficient, we can use the cor() function in R. Using the given data:

sqft <- c(2.3, 1.8, 2.6, 3.0, 2.4, 2.3, 2.7)

price <- c(240, 212, 253, 280, 248, 232, 260)

correlation <- cor(sqft, price)

The correlation coefficient is a measure between -1 and 1. A positive correlation coefficient indicates a positive linear relationship, meaning that as the square footage increases, the selling price also tends to increase. Similarly, a negative correlation coefficient indicates an inverse relationship, where an increase in square footage leads to a decrease in selling price. The closer the correlation coefficient is to -1 or 1, the stronger the correlation. A correlation coefficient close to 0 suggests a weak or no linear relationship between the variables.

b. To predict the selling price of a house with a size of 2800 ft², we can use the correlation we found in part a. Since we know that there is a positive correlation between square footage and selling price, we can expect the selling price to be higher for a larger house.

To make the prediction, we can use the correlation coefficient to estimate the relationship between square footage and selling price. Assuming a linear relationship, we can use a simple linear regression model to predict the selling price. However, since we don't have the regression equation or additional data points, we can only estimate the selling price based on the correlation coefficient. The predicted selling price may not be entirely accurate without more information or a complete regression analysis.

c. Similarly, we can use the correlation and estimated relationship between square footage and selling price to predict the selling price of a house with a size of 3500 ft². However, it's important to note that the accuracy of the prediction will be limited by the data available and the assumption of a linear relationship. Without more data points or a regression model, the predicted selling price may not be entirely accurate.

Learn more about square here: https://brainly.com/question/30232398

#SPJ11

The main idea is using the Pythagorean formula to find the length of line segment \(DB\).

Alr so you use the formula \(A^2 + B^2 = C^2\)

\(C^2\) is already given and is \(2\sqrt{5}\)

and \(A^2\) is \(3\sqrt{2}\)

So using algebraic rules you'll get \(B\) as:

\(\sqrt{2}\)

Now using the formula: \(\frac{1}{2} b * h\), you can find the area of tri ABD and CBD which would be \(3\) and \(1\) so add them up and you get \(4\)!

Answer:

m+8n

Step-by-step explanation:

-(-m-8n)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

m + 8n

Answer:

m + 8n

Step-by-step Explanation

\( -(-m-8n) \\ = - \times ( - m) - \times (- 8n) \\ = m + 8n\)

To obtain the mixed number answer to 19 ÷ 6 from the whole-number-with-remainder answer, divide the numerator (19) by the denominator (6).

To find the mixed number answer to 19 ÷ 6, we divide 19 by 6. The whole-number quotient is obtained by dividing the numerator (19) by the denominator (6), which in this case is 3. This represents the whole number part of the mixed number answer, indicating how many complete groups of 6 are in 19. Next, we consider the remainder. The remainder is the difference between the dividend (19) and the product of the whole number quotient (3) and the divisor (6), which is 1. The remainder, 1, becomes the numerator of the fractional part of the mixed number.

This method makes sense because it aligns with the division process and provides a clear representation of the result. It shows the whole number part as the number of complete groups and the fractional part as the remaining portion. This representation is helpful in various real-world scenarios, such as dividing objects or quantities into equal groups or sharing items among a certain number of people.

Learn more about mixed number here:

https://brainly.com/question/24137171

#SPJ11

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

Answer:

-1/16

Step-by-step explanation:

Raise numerator and denominator to the 4th 1 raised to any power equals one so 2 to the 4th power is 16 so u get -1/16

Answer:

Answer and Explanation: The symmetric bell shape of the normal curve implies that the skewness of the distribution of the data is 0, and most of the observation is located at the middle of the distribution. The shape of the normal distribution is not positive and negative skewed, the shape seems to be bell-shaped.

HOPE THIS HELPS!

The oxygen diffusion coefficient in tissue is given as 1.1 x 10 cm/s. The patch has a thickness of 0.0275 cm. The convection dominates if the fluid filtration velocity is above 40 cm/s

the size of an in vitro 3D tissue engineered heart patch is limited by oxygen transport. This means that oxygen needs to be able to reach all parts of the patch for proper functioning. Oxygen can be transported through diffusion or convection.

when convection dominates over diffusion, we need to compare the rates at which oxygen is transported through these mechanisms. Convection refers to the movement of fluid that carries oxygen, while diffusion refers to the movement of oxygen molecules from an area of higher concentration to an area of lower concentration.

The oxygen diffusion coefficient in tissue is given as 1.1 x 10 cm/s. The patch has a thickness of 0.0275 cm.

the filtration velocity above which convection dominates, we need to find the maximum rate of oxygen transport through diffusion. This can be done by multiplying the diffusion coefficient by the inverse of the thickness of the patch:

Maximum diffusion rate = diffusion coefficient / thickness

Maximum diffusion rate = (1.1 x 10 cm/s) / (0.0275 cm)
Maximum diffusion rate = 40 cm/s

If the fluid filtration velocity is greater than the maximum diffusion rate of 40 cm/s, then convection dominates.

Therefore, convection dominates if the fluid filtration velocity is above 40 cm/s.

Learn more about coefficient with the given link,

https://brainly.com/question/1038771

#SPJ11

Answer:

67−−√2

=8.18535277

divide by 2 until you get a number that ends. It may take a while but you will get the right answer. I'm not sure what your teachers standards are. My math teacher will have us write 2 numbers behind the decimal unless its repeated

Step-by-step explanation:

Answer:

................

Step-by-step explanation:

The obtained decimal number is 0.155.

To solve the question  \(\frac{3.1 * 10}{2.0 * 10^{2}}\).

Canceling out 10 from the denominator and numerator

= \(\frac{3.1 }{2.0 * 10}\)

= 3.1 / 20

Remove the decimal point from the numerator and add one zero in the denominator

= 31/ 200

As we divide the numbers using the long division method we get the decimal number as a result,

= 0.155

To learn more about decimal numbers visit:

https://brainly.com/question/28748299

#SPJ13

The surface area of the solid is 349cm²

The surface area of a three-dimensional object is the sum of the area of all the outer surfaces, it is also measured in square units.

The surface of the solid is the surface area of cuboid + surface area of cube.

Surface area of cube = 6l²

= 6 × 7²

= 294 cm²

Surface area of the cuboid = 2( lh+ bh) + lb

= 2( 3×5 + 2× 5 ) +3 ×2

= 2( 15 +10) + 5

= 2 × 25 +5

= 50 + 5

= 55 cm²

Surface area of the solid = 55 + 294

= 349 cm²

learn more about surface area from

https://brainly.com/question/16519513

#SPJ1

Option 1, {x | x = –4, –1, 3, 5, 6} is the domain of the given function.

For any function, domain is the set of all input values that are accepted by the given function. For example, if there is a function, say f(x) = x + 2, then all the values of x will make up the domain of f(x).

Here, we are given a function {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

In this case, all the input values = all the x values

and all the output values = all the y values

Thus, the domain of the given function will be a set containing the following x values-

3, 6, -1, 5, -4

Arranging these values in the ascending order we get,

-4, -1, 3, 5, 6

Therefore, the domain of the function can be represented as {x | x = –4, –1, 3, 5, 6}.

Learn more about domain here-

https://brainly.in/question/3358149

#SPJ9

Solving for x, we have x = 36. The steady state solution for x(t) in the given differential equation, d²x/dt² + 100x = 3600, can be found by setting the left-hand side equal to zero.

As this represents the behavior of the system after it has reached equilibrium.

To discuss the motion, let's analyze the equation. The term 100x represents the restoring force exerted by the spring, which is proportional to the displacement x from the equilibrium position. The term 3600s represents an external driving force that acts on the mass-spring system.

At t=0, we are given that x=0 and dx/dt=0. This means the mass is at its equilibrium position and is initially at rest. As time progresses, the system will respond to the external force. Due to the presence of the driving force, the mass will oscillate around the equilibrium position with a gradually decreasing amplitude.

Since the steady state solution is x=36, it indicates that the mass will settle into a new equilibrium position that is displaced from the original equilibrium by a distance of 36 units. The system will continue to oscillate around this new equilibrium with a smaller amplitude compared to the initial motion, but it will not approach zero due to the presence of the driving force.

Overall, the motion of the mass on the spring is characterized by oscillations around the new equilibrium position, with a gradually decreasing amplitude over time.

learn more about differential equation here

https://brainly.com/question/25731911

#SPJ11

Answer:

\( l(\widehat {KM}) = 15.07 \: units\)

Step-by-step explanation:

\( Central\: angle \:(\theta) = 96\degree \)

Radius (r) = 9 units

\(l(\widehat {KM}) = \frac{ \theta}{360 \degree} \times 2\pi r \\ \\ l(\widehat {KM}) = \frac{96 \degree}{360 \degree} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{96 }{360} \times 2 \times 3.14 \times 9 \\ \\ l(\widehat {KM}) = \frac{5,425.92}{360}\\ \\ l(\widehat {KM}) = 15.072\\ \\ l(\widehat {KM}) = 15.07 \: units\)

The value of 6/6 - 2/3 is  simplifies to 1/3.

To subtract these two fractions, we need a common denominator. The least common multiple (LCM) of 6 and 3 is 6.

We can convert 6/6 to 1, since any number divided by itself equals 1. Therefore:

6/6 - 2/3 = 1 - 2/3

To subtract these two fractions, we need a common denominator of 3. We can convert 1 to 3/3, so we have:

1 - 2/3 = 3/3 - 2/3

Now we can subtract the numerators:

3/3 - 2/3 = 1/3

Therefore, 6/6 - 2/3 simplifies to 1/3.

See more about least common multiple at brainly.com/question/30060162

#SPJ1

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

To know more about functions visit:

https://brainly.com/question/29120892

#SPJ1

The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8