Determine the amount of force required to push a 1000-Ib rid-
ing lawnmower up a ramp that is inclined at a 40° angle.

The recursive formula for the sequence 13, 3, -7, -17 is 3 + 10n.

It should be noted that the nth term for an arithmetic sequence is illustrated by the formula:

= a + (n - 1)d.

where a = first term = 13

d = common difference = 3 - 13 = 10

n = number of terms

Therefore, the recursive formula will be:

a + (n - 1)d.

= 13 + (n - 1)10

= 13 + 10n - 10

= 3 + 10n

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Answer:52

Step-by-step explanation:

The surface area of the piecewise smooth surface that is the boundary of the region enclosed by the paraboloids is For the first paraboloid, \(f(x, y) = 8 - 5x^2 - 5y^2: A1 = ∬√(1 + (-10x)^2 + (-10y)^2) dA\) and for the second paraboloid,\(f(x, y) = 3x^2 + 3y^2: A2 = ∬√(1 + (6x)^2 + (6y)^2) dA.\)

To find the surface area of the piecewise smooth surface which is the boundary of the region enclosed by the paraboloids, we need to calculate the surface area of each paraboloid and then find their intersection curve.

The first paraboloid, \(z = 8 - 5x^2 - 5y^2\), represents an upward-opening paraboloid with its vertex at (0, 0, 8) and a maximum value of 8. The second paraboloid, \(z = 3x^2 + 3y^2\), represents a downward-opening paraboloid with its vertex at (0, 0, 0) and a minimum value of 0.

To find the intersection curve between these two paraboloids, we set the two equations equal to each other:

\(8 - 5x^2 - 5y^2 = 3x^2 + 3y^2\)

Simplifying the equation, we have:

\(8 - 8x^2 - 8y^2 = 0\)

Dividing both sides by 8, we get:

\(1 - x^2 - y^2 = 0\)

This equation represents a circle of radius 1 centered at the origin (0, 0, 0).

To calculate the surface area of each paraboloid, we can use the surface area formula for a general surface z = f(x, y):

\(A = ∬√(1 + (f_x)^2 + (f_y)^2) dA\)

For the first paraboloid, \(f(x, y) = 8 - 5x^2 - 5y^2: A1 = ∬√(1 + (-10x)^2 + (-10y)^2) dA\)

Similarly, for the second paraboloid, \(f(x, y) = 3x^2 + 3y^2: A2 = ∬√(1 + (6x)^2 + (6y)^2) dA.\)

Therefore, integrating these surface area formulas over their respective domains will give the total surface area of the piecewise smooth surface.

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Answer:

The answer was 0.55

Step-by-step explanation:

I took the quiz

The probability that a student attended the game, given that the

student is from North Beach is 0.55, the correct option is C.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The table

Now,

Out of the 200 students from Westville and the 150 students from North Beach, a total of 170 + 110 = 280 students attended the game.

The probability that a student attended the game, given that they are from North Beach, can be calculated using Bayes' theorem:

P(attended game | from North Beach) = P(from North Beach | attended game) * P(attended game) / P(from North Beach)

P(from North Beach | attended game) is the probability that a student is from North Beach, given that they attended the game. This can be calculated as:

P(from North Beach | attended game) = P(from North Beach and attended game) / P(attended game)

There were 110 students from North Beach who attended the game, so:

P(from North Beach and attended game) = 110 / 280 = 0.3929

The probability of attending the game is P(attended game) = 280 / 350 = 0.8

The probability of being from North Beach is P(from North Beach) = 150 / 350 = 0.4286

P(attended game | from North Beach) = 0.3929 / 0.8 * 0.4286 = 0.55 (rounded to two decimal places)

Therefore, by the probability the answer will be 0.55.

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Answer:

-8 1/3

Step-by-step explanation:

4-6= -2-3= -5

5(10)+5(15)= 50+75=125/1=125

125/-5= -25/3= -8 1/3

Answer:

4x+4=6 I believe that's the answer

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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Answer:

Yes, the two equations are equivalent.

Step-by-step explanation:

For the first equation, we will solve for x.

2x + 4 = 10

Subtract 4 from both sides...

2x + 4 = 10

      -4    -4

It then becomes

2x = 6

Then we divide by 2 on both sides.

2x = 6

2     2

Then the answer is...

x = 3

Now let's also solve for x on the second equation.

3x + 6 = 15

Subtract 6 on both sides to get x alone...

3x + 6 = 15

      -6    -6

Then it is..

3x = 9

Lastly, divide by 3 on both sides...

3x = 9

3     3

Then it becomes

x = 3.

Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.

Answer:

9x³−3x²−2x+7

Step-by-step explanation:

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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the coordinates of the terminal point Q are (7, 10).

To find the terminal point Q, we need to add the components of the position vector (4, 4) to the coordinates of the initial point P(3, 6).

Adding the x-components: x-coordinate of Q = x-coordinate of P + x-component of the position vector = 3 + 4 = 7.

Adding the y-components: y-coordinate of Q = y-coordinate of P + y-component of the position vector = 6 + 4 = 10.

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Each installment will be approximately $15,280.55.

To calculate the equal six-monthly installment, we can use the formula for the present value of an annuity.

Principal amount (P) = $500,000

Interest rate (r) = 12% per annum = 12/100 = 0.12 (compounded monthly)

Number of periods (n) = 20 (since there are 20 equal six-monthly installments)

The formula for the present value of an annuity is:

\(P = A * (1 - (1 + r)^(-n)) / r\)

Where:

P = Principal amount

A = Equal installment amount

r = Interest rate per period

n = Number of periods

Substituting the given values into the formula, we have:

$500,000 = \(A * (1 - (1 + 0.12/12)^(-20)) / (0.12/12)\)

Simplifying the equation:

$500,000 = A * (1 - (1.01)^(-20)) / (0.01)

$500,000 = A * (1 - 0.6726) / 0.01

$500,000 = A * 0.3274 / 0.01

$500,000 = A * 32.74

Dividing both sides by 32.74:

A = $500,000 / 32.74

A ≈ $15,280.55

Therefore, each installment will be approximately $15,280.55.

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Answer:

Step-by-step explanation:

25, i think

Answer:

m < X + m < Y < 90

Step-by-step explanation:

For the triangle  XYZ, m∠Z > m∠X + m∠Y we see that because the total internal angles of a triangle is 180,m∠X + m∠Y < 90° is a true assertion

Option C is correct

Generally, A triangle's major feature is its total internal angles as 180

Therefore

if m∠Z > m∠X + m∠Y this means that m<z must be greater than 90 degrees

This goes to show us that

m<X + m<Y  < 90  because as we earlier mentioned the total internal angles of a triangle is 180 .

In conclusion, For the triangle XYZ

m∠X + m∠Y < 90° is a true assertion

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In the ANOVA test, factors don't directly explain variation, levels don't account for external variation, and the blocking factor's significance should be considered despite a significant main factor for accurate interpretation.

1. A factor in an ANOVA test that does not necessarily describe the cause of the variation in the data is False. A factor represents a categorical variable or an independent variable that is believed to have an effect on the dependent variable. It is used to explain the observed differences among groups or treatments, but it does not directly explain the cause of the variation.

2. A level in an ANOVA test does not account for the variation outside of the main factor is False. A level refers to the different values or categories within a factor. It represents the specific groups or treatments being compared within a factor.

Levels do not account for variation outside of the main factor; rather, they help analyze the variation within the factor and assess the differences between the levels.

3. The significance of the blocking factor is still important even if the main factor is statistically significant in a randomized block ANOVA is False. A blocking factor is included to account for potential sources of variation that are not of primary interest but might affect the outcome variable.

It helps control for confounding variables or other sources of variation, and its significance should be considered in interpreting the results accurately. Both the main factor and the blocking factor need to be evaluated to understand the overall significance and impact of different factors on the outcome variable.

Therefore, all the answers are false.

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Note: The question would be as

1. A Factor In An ANOVA Test Describes The Cause Of The Variation In The Data. True Or False?

2. A Level In An ANOVA Test Accounts For The Variation Outside Of The Main Factor. True Or False?

3. As Long As The Main Factor Is Statistically Significant With Randomized Block ANOVA, There Is No Concern About The Significance Of The Blocking Factor. True

David is completing a Rorschach test, which is a type of projective psychological assessment. The test consists of a series of inkblots presented to the participant, and their responses are analyzed by the researcher to gain insights into their personality, thought processes, and emotional functioning.

The Rorschach test is a widely used tool in clinical psychology and has been subject to much controversy and debate over its validity and usefulness in assessment.

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Both lines are parallel because: A. both lines have a slope of 4/3.

The slope of a line = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

The slope of parallel lines are the same, while the slope of perpendicular lines are negative reciprocals.

Slope of AB = 4 units/3 units = 4/3

Slope of CD = 4 units/3 units = 4/3

Both lines have the same slope, therefore, they are parallel to each other.

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Answer:

semi-regular tessellations

Step-by-step explanation:

Answer:

p=-60

Step-by-step explanation:

When you add a negative, you are just subtracting.

p/-2-27=3

p/-2-27+27=3+27

2(-p/2)=2(30)

-p=60

-p/-1=60/-1

p=-60

Hope this helps! Pls give brainliest!

Answer:

First choice.

Step-by-step explanation:

Move 9 to divide 72.

\(x < \frac{72}{9} \\ x < 8\)

Answer:

the correct answer is

oh it's not possible

i give u a hint

pit the value of y

Answer:

These triangles are congruent by AAS.

a) The shape of the sampling distribution for the sample proportion is expected to be C. Normal. b) The mean of the sampling distribution of the sample proportion is expected to be □ A. c) the mean of the sampling distribution would still be equal to the true population proportion.

a) The shape of the sampling distribution for the sample proportion is expected to be C. Normal. This is known as the Central Limit Theorem, which states that as the sample size increases, the sampling distribution of the sample proportion tends to follow a normal distribution regardless of the shape of the population distribution, as long as the sample size is sufficiently large.

b) The mean of the sampling distribution of the sample proportion is expected to be □ A. The mean would be equal to the true population proportion. The sample proportion is an unbiased estimator of the population proportion, so the mean of the sampling distribution is equal to the true population proportion.

c) If the sample size were increased to 400, the answers would be B. No, the shape and symmetry characteristics would still be approximately the same, and the mean would still be the same. According to the Central Limit Theorem, the shape of the sampling distribution becomes more closely approximated by a normal distribution as the sample size increases, regardless of the population distribution. In this case, the shape and symmetry characteristics of the sampling distribution would still be approximately normal even with an increased sample size of 400. Additionally, the mean of the sampling distribution would still be equal to the true population proportion.

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Answer:

10 i think it is yea. so 10 is it

Answer:

y = -28

Step-by-step explanation:

21 = -3/4y

so:

-3/4y = 21

divide both sides by -3/4:

(-3/4y)/(-3/4) = 21/(-3/4)

y = -28

The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

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Answer:

3y = 60°, 2y = 40° ,     4x = 104°, x = 26°, y = 50°

Step-by-step explanation:

Triangle g

180° = 80° + 3y + 2y

100° = 5y

y = 20°

Triangle h

y = 180° - 130°

y = 50°

180° = 4x + x + 50°

130° = 5x

x = 130 / 5

x = 26°

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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