On the same coordinate plane mark all points (x y) that satisfy the rule y=-3x-2
would be greatly appreciated if someone showed on a graph!!

Answer:

402.9092

Step-by-step explanation:

surface area of cylinder - top base = 301.5946

surface area of cone - base = 101.3146

add together 402.9092

Answer:

solve for y   y= -2+x/2

solve for x   x=4+2y

Step-by-step explanation:

x-2y=4

+x    =4+x

  -2y = 4 + x  divide both sides by -2

   2         -2

      y=-2 + x/2

x-2y=4

 +2y=4+2y

 x  = 4+2y

The new length of the unstretched hanging-spring is 70 cm.

Hooke's law states that the spring's length change as a result of a compressive or tensile load is directly proportionate to the size of the force placed on the spring. Mathematically,

F = kx

Where;

K is the spring constant, while x represents the spring's length change.

As per the question-

L is the spring's uncompressed length: L = 0.5 m

Weight F1 linked to the spring: F1 = 100 N

First weight's effect on elongation x1: 60 - 50 = 10 = .01 m.

As per the Hooke's law;

F1 = Kx1

K = F1/X1

K = 100 / 0.1

K = 1000 N/m

Spring constant = 1000 N/m.

For the added 100-N block.

F = Kx2

x2 = F/K

x2 = 100 + 100 / 1000

x2 = 0.2m

x2 = 20 cm

L = 50 + 20 = 70 cm.

Thus, new length of the unstretched hanging-spring is 70 cm.

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The exact value of cos B from the right triangle is cos(B) = 12/13

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

The right triangle

The exact value of cos B can be calculated as

cos(B) = BC/BD

Where

BC = 12 and BD = 13

So, we have

cos(B) = 12/13

Hence, the value is 12/13

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The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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Answer:

i think you would treat the other side of the equation like a zero so it would be 4x-6=0 then solve 4x=6 x=1.5

Step-by-step explanation:

Answer:

  ∆STU≅∆S'T'U'

Step-by-step explanation:

You want a congruency statement for triangle STU and its translated image.

A congruence statement lists the original figure vertices and the congruent image vertices in the same order.

  ∆STU≅∆S'T'U'

Answer:

177.2 i think

Step-by-step explanation:

1) 3/7

2) 9/21

3) 150/350

Answer:

Step-by-step explanation:

soory

The airline can say with 95% confidence that the maximum error in using x = 24.15 minutes as an estimate of the true average time is 24.736.

To calculate the confidence interval, we used the following formula:

CI = x ± z × SE.

CI is the confidence interval

x is the sample mean

z is the z-score for the desired confidence level (in this case, 95%)

SE is the standard error of the mean

The z-score for a 95% confidence interval is 1.95. ⇒ 0.05/2 = 0.025 = 1.95.

the sample standard deviation is 3.29 and the sample size is 120.

Therefore

CI = 24.15 + 1.95 × 3.29 / √(120) = 24.736

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The sample size needed to estimate a proportion within ±1% with 90% confidence is approximately 5488.

To find the sample size needed to obtain a specific margin of error when estimating a proportion, we can use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = Z-score corresponding to the desired level of confidence

p = estimated proportion (0.5 for maximum sample size)

E = margin of error (expressed as a proportion)

With 99% confidence:

Z = 2.576 (corresponding to 99% confidence level)

E = 0.01 (±1% margin of error)

n = (2.576^2 * 0.5 * (1-0.5)) / 0.01^2

n ≈ 6643.36

So, the sample size needed to estimate a proportion within ±1% with 99% confidence is approximately 6644.

With 95% confidence:

Z = 1.96 (corresponding to 95% confidence level)

E = 0.01 (±1% margin of error)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.01^2

n ≈ 9604

So, the sample size needed to estimate a proportion within ±1% with 95% confidence is approximately 9604.

With 90% confidence:

Z = 1.645 (corresponding to 90% confidence level)

E = 0.01 (±1% margin of error)

n = (1.645^2 * 0.5 * (1-0.5)) / 0.01^2

n ≈ 5487.21

So, the sample size needed to estimate a proportion within ±1% with 90% confidence is approximately 5488.

Please note that the calculated sample sizes are rounded up to the nearest whole number, as sample sizes must be integers.

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Number of students in the group initially is 7.

From the combination formula, C(n, r) = n!/(r!(n - r)!)

Let the number of students are in the group initially be 'n'.

The number of different committees of 4 students from n students is = C(n, 4).

When the number of students in the group increases by 1 then the total number of students becomes = n + 1

The number of different committees of 4 students from (n + 1) students is = C(n + 1, 4).

According to the question, the number of committees in both the cases are equal.

So the equation best suited for the situation is,

2C(n, 4) = C(n + 1, 4)

2n!/(4!(n - 4)!) = (n + 1)!/[4!(n + 1 - 4)!]

2n!/(n - 4)! = (n + 1)!/(n - 3)!

2n(n - 1)(n - 2)(n - 3) = (n + 1)n(n - 1)(n -2)

2(n - 3) = n + 1

2n - 6 = n + 1

2n - n = 6 + 1

n = 7

Hence the number of students are in the group is 7.

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Gail should pick a Beautiful bank if she plans to have her money in the account for 15 years.

To determine which bank would be better for Gail, we need to calculate the future value of her investment after 15 years for each bank and compare the results.

For Neighborhood Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

where FV is the future value,

P is the principal (the initial amount invested),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year,

and t is the number of years.

Plugging in the values, we get:

FV = 5,500(1 + 0.012/1)^(1*15)

FV = 5,500(1.012)^15

FV = 7,130.34

For Beautiful Day Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

Plugging in the values, we get:

FV = 5,500(1 + 0.012/365)^(365*15)

FV = 5,500(1.000032876)^5475

FV = 7,145.25

Therefore, Beautiful Day Bank would be the better choice for Gail, as she would earn a higher amount of interest and end up with a higher future value for her investment after 15 years.

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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Answer: B and D

8/9 • 2 = 1.77

13/11 • 2 = 2.36

3.7 • 0.5 = 1.85

hope this helped :)

Answer:

Given units of measures of volume:

Units of measure:

1. Water in a rectangular pool → m³

2. an ice cube before it melts → cm³

3. a dice → mm³

4. a blackboard eraser → cm³

5. oil in a rectangular box → dm³

To convert liters to cubic meters, divide by 1000:

⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³

To convert liters to cubic centimeters, multiply by 1000:

⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³

Answer:

i think it is c

Step-by-step explanation:

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be \(w\). It follows that the length is \(w+2\).

\(w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7\)

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular.

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Answer:

(3,-2) D

all points are put into parenthesis in the form of (x,y)

Step-by-step explanation:

Answer:

(3,-2)D

Step-by-step explanation:

x axis before y axis

Answer:

2.7 The second question I am unsure of because side EF is clearly labeled 7, if they meant to ask for the value of x in the second question then your answer is 12

Step-by-step explanation:

Answer:

2 = 2.7

4 = D, 12

Step-by-step explanation:

2 is because 1.8 multiplied by 1 2/3 is 3, therefore you can take the same logic but just reverse it for 4.5

4.5 / 1 2/3 is 2.7

D, the same thing but 7 * 2 = 14, so the factor is 2 therefore 6 * 2 = 12

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the sample is truly representative of all horses in the state, and that there are no biases or confounding factors that might affect the proportion of stallions in the sample.

If we assume that the horses constitute a random sample of all horses in the state, then we can estimate the probability that a randomly selected horse is a stallion by calculating the proportion of horses in the sample that are stallions. Let's assume that we have a sample of n horses, and that x of these horses are stallions. Then the estimated probability of selecting a stallion is:

x/n

For example, if we had a sample of 100 horses and 25 of them were stallions, the estimated probability of selecting a stallion would be:

25/100 = 0.25 or 25%

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The interpretation of 70 in the estimated simple linear regression equation is that for every one-unit increase in X, the predicted value of Y increases by 70 units.

a. In a simple linear regression equation, the coefficient of the independent variable (X) represents the change in the dependent variable (Y) for a one-unit increase in X, while holding all other variables constant. Therefore, the interpretation of 70 is that, on average, for every one-unit increase in X, the predicted value of Y increases by 70 units.

b. The t-test statistic measures the number of standard errors the estimated slope is away from the null hypothesis value of zero. A t-test statistic of 3.3 indicates that the estimated slope is significantly different from zero at the specified level of significance. This suggests that there is evidence to support the claim that there is a linear relationship between X and Y in the population.

c. The p-value (sig) associated with the estimated equation slope measures the probability of observing a t-test statistic as extreme as the one obtained, assuming the null hypothesis (slope = 0) is true. In this case, a p-value of 0.008 means that there is a 0.008 probability of observing a t-test statistic as extreme as 3.3 if the null hypothesis is true. Since this probability is small, we reject the null hypothesis and conclude that there is evidence to support the presence of a linear relationship between X and Y in the population.

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Answer:

5

Step-by-step explanation:

Answer:

It will take them 7.89 days

Answer:

k = -11

Step-by-step explanation:

Let \(p(x) = x^3-6x^2+kx+10\)

And x+2 is a factor of p(x)

Let x+2 = 0 => x = -2

Putting in p(x)

=> p(-2) = \((-2)^3-6(-2)^2+k(-2)+10\)

By remainder theorem, Remainder will be zero

=> 0 = -8-6(4)-2k+10

=> 0 = -8-24+10-2k

=> 0 = -22-2k

=> -2k = 22

Dividing both sides by -2

=> k = -11

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

The maximum width of the border is 8 inches.

To find the maximum width of the border, use the formula:

area of garden = area of garden bed + area of borderThe area of the garden is 1,200 square feet (120 feet by 10 feet).The area of the garden bed is 1,000 square feet (100 feet by 10 feet).

Hence, the area of the border is 200 square feet.

To find the maximum width of the border, divide the area of the border (in square feet) by the length of the garden bed (in feet).

That is,Maximum width of border = Area of border / Length of garden bed= 200 / 10= 20 feet= 8 inches (converted to inches by multiplying by 12).

Therefore, the maximum width of the border is 8 inches.

We are given that a 20 square foot bag of mulch will cover an area of 20 square feet, which is equivalent to 2,880 square inches.

By using the completed table, we are required to find the maximum width of the border.

The area of the garden is 1,200 square feet (120 feet by 10 feet), and the area of the garden bed is 1,000 square feet (100 feet by 10 feet). So, the area of the border is 200 square feet.

To find the maximum width of the border, we divide the area of the border (in square feet) by the length of the garden bed (in feet).

Maximum width of border = Area of border / Length of garden bed= 200 / 10= 20 feet= 8 inches (converted to inches by multiplying by 12).Therefore, the maximum width of the border is 8 inches.

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