The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answer: 204cm²

Step-by-step explanation:

I assume you are trying to work out the area of the shaded section as you have not provided a question?

1. To get the area of the whole rectangle we do length x width.

12 x 20 = 240.

2. To get the area of the triangle we do base x height, ÷ 2.

9 x 8 = 72

72 ÷ 2 = 36

3. Then to get the area of the shaded section we do the area of the rectangle - the area of the triangle

240 - 36 = 204

Answer:

good luck

Step-by-step explanation:

The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

Reason:

a+b = 15+24 = 39 is NOT larger than c = 39

Since a+b > c is false, a triangle is NOT possible.

The sum of any two sides must exceed the third side for a triangle to be possible. For more information, check out the triangle inequality theorem.

The cost of the path around the swimming pool with length 15m and width 12m is $1,190

Pathway with 2m wide:

Area of the path = length × width

= 17m × 14m

= 238 square meters

Total cost of the path = 238 square meters × $5

= $1,190

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Answer: City M is colder than city L because -7° F>-2° F

Step-by-step explanation:

Answer:

City M was colder than City L because −7° F < −2° F

Step-by-step explanation:

-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7

The farther right you go, the greater the number The farther left you go, the smaller the number

-7 is farther left than -2, so -2 is greater

We are to simplify

From the the laws of indices,

Aplying this law to the question, we have

The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

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Answer: The discounted price is $14.72 for the two medium cheese pizzas.

17.95 × 0.18 (18%) = 3.231

17.95 - 3.231 = 14.719

The adding of a constant to all observations in a sample will increase the sample mean by that constant.

The adding of a constant to all observations in a sample will not change the sample standard deviation.

The sample mean is calculated by adding up all of the observations in the sample and dividing by the sample size. If a constant is added to all of the observations, then the sum of the observations will increase by the product of the constant and the sample size, and so will the sample mean.

if the original sample mean was 10 and a constant of 2 was added to each observation, then the new sample mean will be 12.

The sample standard deviation is calculated by finding the square root of the sum of the squared deviations from the sample mean, divided by the sample size minus one. If a constant is added to all of the observations, then the deviations from the new sample mean will be the same as the deviations from the original sample mean, because the constant will cancel out when the deviations are squared.

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Answer:

720

Step-by-step explanation:

Out of 80 students the no. of students who sign up=48

So, out of 1200 students 48×1200÷80=720 students sign up.

Answer:

what image i dont see an image

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

40/8 = 8

8*8

Answer:

$64

Step-by-step explanation:

form a ratio:

5:40

simplify:

1:8

so now desimplify

8:64

Answer:

The coefficient of determination or R-squared is a metric used to evaluate how well the regression line fits the data. It quantifies the percentage of variation in the dependent variable that can be accounted for by the independent variable(s). R-squared values lie between 0 and 1, with higher values indicating a better fit of the regression line to the data. For example, an R-squared value of 0.8 indicates that 80% of the variability in the dependent variable can be explained by the independent variable(s).

a) The optimal size of the production run is approximately 39, units (rounded to the nearest whole number).

b) The average holding cost per year is approximately $1,755.00 (rounded to two decimal places).

c) The average setup cost per year is approximately $24,300.00 (rounded to two decimal places).

d) The total cost per year, including the cost of the lights, is approximately $43,071.00 (rounded to two decimal places).

a) To find the optimal size of the production run, we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:

EOQ = √[(2 * D * S) / H]

Where:

D = Annual demand = 11,700 units

S = Setup cost per production run = $81

H = Holding cost per unit per year = $0.15

Plugging in the values, we have:

EOQ = √[(2 * 11,700 * 81) / 0.15]

= √(189,540,000 / 0.15)

= √1,263,600,000

≈ 39,878.69

Since the optimal size should be rounded to the nearest whole number, the optimal size of the production run is approximately 39, units.

b) The average holding cost per year can be calculated by multiplying the average inventory level by the holding cost per unit per year. The average inventory level can be calculated as half of the production run size (EOQ/2). Therefore:

Average holding cost per year = (EOQ/2) * H

= (39,878.69/2) * 0.15

≈ 2,981.43 * 0.15

≈ $447.22

So, the average holding cost per year is approximately $447.22 (rounded to two decimal places).

c) The average setup cost per year can be calculated by dividing the total setup cost per year by the number of production runs per year. The number of production runs per year is given by:

Number of production runs per year = D / EOQ

= 11,700 / 39,878.69

≈ 0.2935

Total setup cost per year = S * Number of production runs per year

= 81 * 0.2935

≈ $23.70

Therefore, the average setup cost per year is approximately $23.70 (rounded to two decimal places).

d) The total cost per year, including the cost of the lights, can be calculated by summing the annual production cost, annual holding cost, and annual setup cost. The annual production cost is given by:

Annual production cost = D * Cost per light

= 11,700 * 1

= $11,700

Total cost per year = Annual production cost + Average holding cost per year + Average setup cost per year

= $11,700 + $447.22 + $23.70

≈ $12,170.92

Therefore, the total cost per year, including the cost of the lights, is approximately $12,170.92 (rounded to two decimal places).

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Inferential statistics enable you to decide if the null hypothesis is false. Option B is correct.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

A situation or phenomenon can be explained by using inferential statistics. It differs fundamentally from descriptive statistics, which merely summarize the data that has actually been measured, in that it allows you to draw conclusions based on extrapolations.

Thus, inferential statistics enable you to decide if the null hypothesis is false. Option B is correct.

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note:Parallelogram WXYZ not VWXY & I will answer the questions in the image b'cos I don't get your question.

Answers:

a.(i.)Slope of line YZ = 4/5

(ii.)Line adjacent line YZ is line YX,slope of YX =5/4

b.(i.)Length of line YZ =√41 units

 (ii.)Length of line YX =√41 units

c.WXYZ is a rhombus.

Step-by-step explanation:

a.Slope=gradient(m)=(y₂-y₁)/(x₂-x₁)

(i.)m of line YZ=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & Z(-1,3)

(I believe you know what the y₂,y₁,x₂ & x₁ stand for.)

So m=(y₂-y₁)/(x₂-x₁),=(3-(-1))/(-1-(-6) =(4)/(5)=4/5

∴m of line YZ is 4/5

(ii.)m of line YX=(y₂-y₁)/(x₂-x₁) where Y(-6,-1) & X(-2,4)

So m=(y₂-y₁)/(x₂-x₁),=(4-(-1))/(-2-(-6) =(5)/(4)=5/4=1.25

∴m of line YX is 5/4

b.(i.)To find the length of line YZ,we have to express it as column vector YZ.

Vector YZ=OZ-OY,Z-Y=(-1,3)-(-6,-1)=(5,4)

Length=√x² plus y²=√5² plus 4²=√25 plus 16=√41 units

∴The length of line YZ is √41 units.

(ii.)To find the length of line YX,we have to express it as column vector YZ.

Vector YX=OX-OY,X-Y=(-2,4)-(-6,-1)=(4,5)

Length=√x² plus y²=√4² plus 5²=√16 plus 25=√41 units

∴The length of line YX is √41 units.

c.WXYZ is a rhombus.

The simple exponential smoothing forecast for the 3rd week, with a smoothing parameter (α) of 0.3, is 4.8.

Simple exponential smoothing is a forecasting technique that assigns weights to past observations, with more recent observations given higher weights. The formula for calculating the forecast using simple exponential smoothing is as follows:

F(t) = α * Y(t-1) + (1-α) * F(t-1)

Where:

F(t) is the forecast at time period t,

Y(t-1) is the actual value at the previous time period (t-1),

F(t-1) is the forecast at the previous time period (t-1), and

α is the smoothing parameter.

Given the time series values: Week 1 = 7, Week 2 = 3, Week 3 = 4, Week 4 = 6, and a smoothing parameter α of 0.3, we can calculate the forecast for the 3rd week.

Using the formula, we have:

F(3) = 0.3 * 3 + (1-0.3) * F(2)

To find F(2), we need to calculate F(2) using the formula:

F(2) = 0.3 * 7 + (1-0.3) * F(1)

Substituting the given values, we get:

F(2) = 0.3 * 7 + (1-0.3) * 7 = 2.1 + 4.9 = 7

Now, we can substitute the value of F(2) into the first equation to calculate F(3):

F(3) = 0.3 * 3 + (1-0.3) * 7 = 0.9 + 4.9 = 5.8

Rounding to one decimal place, the simple exponential smoothing forecast for the 3rd week is 4.8.

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The direction does the parabola open is right. Option C

It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h

where

⇒ (h , k) denotes the vertex.

Also, the standard equation of a regular parabola is y² = 4ax.

From the equation given , we have

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

It is important to note that ;

From this, we can see that the parabola would open in the right direction

Thus, the direction does the parabola open is right. Option C

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ALL KITES ARE RECTANGLES

Answer:All kites are rectangles.

Step-by-step explanation: Just did the quiz

Answer:

Step-by-step explanation:

B

The equation given is;\(x = ct^5 - bt^7\)Where \(c = 2.6 m/s^5\) and \(b = 1.1 m/s^7\)(a) Displacement is obtained by finding the difference between the initial and final position of the particle.

\(i.e At , the particle is at a distance ofDisplacement = Displacement = = - 1.57 m(b) When t = 1.0 s,\)

the velocity of the particle can be found by taking the derivative of the displacement with respect to time;i.e \(v = \frac{dx}{dt}\)\(x = ct^5 - bt^7\)\(\frac{dx}{dt} = 5ct^4 - 7bt^6\)At \(t = 1.0 s\), \(v = 5*2.6(1.0)^4 - 7*1.

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Given that, the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4.

The coordinates of the point k are (9,10)

The concept of section formula asserts that if a line segment is divided into two pieces in a certain ratio, the coordinates at the point of division may be obtained using the formula:

(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n) = K

where (x1, y1) and (x2, y2) are the line segment's endpoint coordinates, and m:n is the provided ratio by which the line segment is divided.

The ends of the line segment IJ in this example are I(3,5) and J(17,19), and the ratio by which it is divided is 3:4, implying that IK:JK is 3:4.

As a result, m:n = 3:4, implying that m = 3 and n = 4.

When we enter these values into the formula, we get:

K = (3 x 17 + 4 x 3)/(3+4), (3 x 19 + 4 x 5)/(3+4)

When we simplify this expression, we get:

K = ( 51 + 12)/(7), (57 + 20)/(7)

K = (63)/(7),(77)/(7)

K = 9,10

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Answer:

9.5f + 0.25

Step-by-step explanation:

simplify the expression.

Answer:

\(→ - (9f) - (0.5f) + 0.25 \\ =- (9 + 0.5)f + 0.25 \\= \boxed{ - 9.5f+ 0.25}✓\)

Therefore, the radius of the container is approximately 5 centimeters.

Volume is a measure of the amount of space that a substance or object occupies in three-dimensional space. It is commonly expressed in units of cubic meters (m³) or cubic centimeters (cm³), although other units, such as liters (L) and gallons (gal), are also frequently used. The volume of an object or substance can be calculated by measuring its length, width, and height and multiplying these dimensions together. In some cases, volume can also be determined by displacement, as in the case of measuring the volume of a liquid by the amount of space it displaces when poured into a container.

by the question.

The volume of a cylindrical container is given by the formula:

V = πr²h

where V is the volume, r is the radius, and h is the height.

We are given that the volume is 314 cubic centimeters, and the height is 4 centimeters. Substituting these values into the formula, we get:

314 = πr² (4)

Simplifying, we get:

78.5 = πr²

Dividing both sides by π, we get:

r² ≈ 25

Taking the square root of both sides, we get:

r ≈ 5

Rounding this to the nearest whole number, we get:

r = 5

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Answer:

Step-by-step explanation:

Absolute of a number is the positive value of such number. for example, the absolute value of -7 is 7.

If Yasmine finds the absolute value of -655, then her equivalent value must return a positive answer.

The expression that gives a positive values of -655 is:

1) 0-(-655) = +655

Note that the product of two negative sign will result in a positive sign

Answer:

0 minus (negative 655)

Step-by-step explanation:

Answer:

30 gallons/hr

Step-by-step explanation:

180/60 = 30

Answer:

There will be 12 servings in total!

Step-by-step explanation:

4 ÷ 1/3 = 12

Easy!

Answer:

12

Step-by-step explanation:

Divide 4 by 1/3 and get a 12 over 1 witch makes a whole 12.

The probability that the student will be a student who lives on campus is 0.24

In math the term probability is referred as the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Here we have given that one full-time student who is a freshman or sophomore is selected at random.

Here we need to find the probability that the student will be a student who lives on campus.

Here we know that the probability that a student is a sophomore is calculated as,

=> P(S) = 19/42 = 0.45.

Whereas the probability that a student has a freshman is calculated as,

=>P(H)=25/42=0.6.

Then the probability that the student will be a student who lives on campus is calculated as,

=> P(H∩S)=P(S)+P(H)−P(S∪H)

Apply the values then simplify this one then we get,

=> 0.45+0.6−(42−8)/42=0.24

Complete Question:

Suppose that a certain college class contains 42 students and then if one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?

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