A roller coaster can handle up to 25 people weighing an average of 150
pounds each. New safety standards have lowered the maximum number
of passengers to 5. If the average weight of the passenger stays the
same, how much would a full load of passengers weigh under the new
limit? In what order would you solve this problem?*
add/subtract
subtract/multiply
O multiply/divide
Option 4

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

For more related questions on area:

https://brainly.com/question/1631786

#SPJ8

Question:

The area of the triangle is?

Answer:

Step-by-step explanation:

5.5 x 10.4 = 57.2/2 = 28.6

Quick Note:

(A triangle is half a square so divide by two when you get your answer after multiplying)

Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

Answer:

a

Step-by-step explanation:

Answer:

the answer is a because the text shows it

Step-by-step explanation:

Based on the scenario you provided, it seems like the following events occurred:

The owner obtained a loan of $60,000 from a bank and secured it with a mortgage on his land.

The owner obtained another loan of $60,000 from a lender and secured it with a mortgage on the same land.

The owner sold the land to a buyer for $150,000 and the buyer agreed to assume both mortgages with the consent of the bank and the lender.

The bank loaned the buyer an additional $50,000, which was added to the principal amount and interest rate of its original mortgage.

The buyer stopped making payments on both mortgages and disappeared.

The bank initiated a foreclosure action on its mortgage and purchased the property at the foreclosure sale.

The proceeds from the foreclosure sale totaled $80,000 after fees and expenses.

Since the bank's mortgage was recorded first, it has priority over the lender's mortgage. Therefore, when the property was sold at the foreclosure sale, the proceeds were used to pay off the bank's outstanding balance of $50,000 first. The remaining $30,000 was then applied to the lender's mortgage, leaving a balance of $20,000.

However, since the buyer disappeared and did not pay the remaining balance on the lender's mortgage, the lender may still be able to pursue legal action to recover the remaining debt from the buyer. It is also possible that the lender could try to recover the debt from the owner who sold the property, depending on the terms of the mortgage agreement.

Learn more about land here:

https://brainly.com/question/31375370

#SPJ11

The statement second and statment third are the reason that method used might be biased.

It is given that Adam gives a survey postcard to every twentieth student that enters the building.

It is required to find the statement why the method used to be biased.

The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.

Adam gives a survey postcard to every twentieth student, not every student that enters the building.

It means asking every twentieth student does not represent the student population.

Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.

Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.

Thus, the statement second and statment third are the reason that method used might be biased.

Learn more about the biased sample here:

https://brainly.com/question/26962814

Answer:

B and C

Step-by-step explanation:

Cindy will make a total amount of $1,800 for 10 weeks

Cindy makes $9 an hour working at a local plant nursery

She does this for 10 weeks

She works for about 20 hours each week

Therefore the total amount of money Cindy made in 10 weeks can be calculated as follows

= 9(20) × 10

= 180 × 10

= 1800

Hence Cindy will make a total amount of $1800 in 10 weeks

Read more on amount here

https://brainly.com/question/29251021

#SPJ1

The population of Halifax is about 1000 times as greater as the population of Balnamore.

The process of defining similarities between two numbers and determining which number is greater, smaller, or equal to the other number is known as comparing numbers.

Here we will compare the numbers by using counting.

We know that a number with more digits is typically greater than one with fewer.

i) The population of Birmingham is about 10 times as big as the population of Halifax because the population of Birmingham is 9,00,000 is greater than Halifax's 90,000 by 10.

ii) The population of London is about 1000 times as big as the population of Longton. Because the population of London has three more zero digits than the population of Longton.

iii)The population of Halifax is about 1000 times as big as the population of Balnamore. Because the population of Halifax has three more zero digits than the population of Balnamore.

To know more about comparing numbers visit the given link:

https://brainly.com/question/2829397

#SPJ9

Answer:

a. 120 degrees

b. 240 degrees

c. 24π

d. 8π

e. 16π

f. 144π

g. 48π

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2

Answer:

3

Step-by-step explanation:

(x + 7)(x - 4)

= x · x + x · (-4) + 7 · x + 7 · (-4)

= x² - 4x + 7x - 28

= x² + 3x - 28

Hence, g = 3.

Answer:

C. 3

Step-by-step explanation:

Got it right on edge

The jazz band has 15 seventh graders playing according to the ratio.

A ratio, which is a number, is a way to represent one quantity as a portion of another. A ratio can only be compared when the two numbers in it have the same unit. To compare two objects, ratios are utilized.

Given One fifth of the 75 seventh graders at Charles School participate in the jazz band.

Presented as a ratio

75 pupils, or 1/5 of them, participate in the jazz band.

75 pupils out of the total play in the jazz band.

15 kids in total participate in the jazz band.

15 seventh graders are therefore playing in the jazz band in accordance with the ratio.

Hence, The jazz band has 15 seventh graders playing according to the ratio.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ4

Answer:

for the first one i think its true equation

for the second one i think its also true equation

Step-by-step explanation:

because for the first one if x is 1 and y is -1 then it makes 2

and for the first one if x is 0 and y is 2 that also works

for the second one if x is 1 and y is 2 that works

for the second one of x is 0 and y is 4 that also works

im not sure what linear equation means but hopefully you get a good grade on this

By applying interior angles of triangles concept, it can be calculated that:

Triangle is a 2D shape that is bounded by three sides and has three vertices.

The three interior angles of triangles will always have a sum of 180°.

ΔABC:

            ∠A + ∠B + ∠C = 180°

4x + (7x - 2) + (5x - 10) = 180°

                       16x - 12 = 180°

                              16x = 192°

                                  x = 12°

Thus, ∠A = 4x = 4*12 = 48°

∠B = 7x - 2 = 7*12 - 2 = 82°

∠C = 5x - 10 = 5*12 - 10 = 50°

ΔDEF:

     ∠D + ∠E + ∠F = 180°

3x + 18x + (5x - 2) = 180°

                26x - 2 = 180°

                      26x = 182°

                           x = 7°

Thus, ∠D = 3x = 3*7 = 21°

∠E = 18x = 18*7 = 126°

∠F = 5x - 2 = 5*7 - 2 = 33°

ΔGHI:

 ∠G + ∠H + ∠I = 180°

16x + 16x + 13x = 180°

                 45x = 180°

                      x = 4°

Thus, ∠G = 16x = 16*4 = 64°

∠H = 16x = 16*4 = 64°

∠I = 13x = 13*4 = 52°

ΔJKL:

                  ∠J + ∠K + ∠L = 180°

(x + 8) + (6x - 5) + (2x - 3) = 180°

                                    9x = 180°

                                      x = 20°

Thus, ∠J = x + 8 = 20 + 8 = 28°

∠K = 6x + 5 = 6*20 - 5 = 115°

∠L = 2x - 3 = 2*20 - 3 = 37°

ΔMNO:

∠M + ∠N + ∠O = 180°, if ∠M = x, then:

     x + 5x + 4x = 180°

                  10x = 180°

                      x = 18°

Thus, ∠M = x = 18°

∠N = 5x = 5*18 = 90°

∠O = 4x = 4*18 = 72°

To learn more about interior angles of triangles, click here: https://brainly.com/question/7888180

#SPJ1

Answer:

Step-by-step explanation:

B

The equation of the tangent plane to the surface z = 2x² - y³ + 4x + 12y at the point (-1, 2, 13) is z = 13.



To find the equation of the tangent plane to the surface z = 2x² - y³ + 4x + 12y at the point (-1, 2, 13), we can follow these steps:

First, let's find the partial derivatives of the surface with respect to x and y. Taking the derivative of z with respect to x gives us:

∂z/∂x = 4x + 4.

And taking the derivative of z with respect to y gives us:

∂z/∂y = -3y² + 12.

Next, we substitute the coordinates of the given point (-1, 2) into the partial derivatives to find their values:

∂z/∂x = 4(-1) + 4 = 0,

∂z/∂y = -3(2)² + 12 = 0.

Now we have the values of the partial derivatives at the point (-1, 2). Using these values and the coordinates of the point, we can write the equation of the tangent plane in the form:

z - z₀ = (∂z/∂x)ₒ(x - x₀) + (∂z/∂y)ₒ(y - y₀),

where (x₀, y₀, z₀) is the point of tangency and (∂z/∂x)ₒ and (∂z/∂y)ₒ are the values of the partial derivatives at that point.

Plugging in the values, we have:

z - 13 = 0(x - (-1)) + 0(y - 2).

Simplifying this equation gives us:

z - 13 = 0.

Therefore, the equation of the tangent plane to the surface at the point (-1, 2, 13) is z = 13.

To know more about tangent planes, refer here:

https://brainly.com/question/30565764#

#SPJ11

Answer:

-9

Step-by-step explanation:

4(3x-6)-6(3x+5)

12x-24-18x-30

-6x-54

-6x=54

x= -9

Answer:

x=-9

Step-by-step explanation:

I used this website called symbolab

Answer:

-3

Step-by-step explanation:

You need to substract 6 to get the next term.

I HOPE THIS HELPS :)

Answer:

-3

Step-by-step explanation:

21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3

Answer:

Step-by-step explanation:

blb

Answer:

TU = 27

Step-by-step explanation:

ST + TU = SU

(8x - 11) + (14x - 15) = 19x - 17

8x - 11 + 14x - 15 = 19x - 17

22x - 26 = 19x - 17

22x - 19x = 26 - 17

3x = 9

x = 3

TU = 14x - 15 = 14(3) - 15 = 27

Answer: 1 3/5

Step-by-step explanation:

From the question, we are informed that five friends are sharing 8 cups of lemonade and that they share the lemonade equally.

The number of cups that each friend gets will be calculated by dividing the number of cups of lemonade by the number of friends. This will be:

= 8 / 5

= 1 3/5

the number line scale  already has 0 and 2 so inbetween them 0 and 2

Put a 1 then

after 2 go 3,4,5.

Behind the 0 are negatives so 0 -1 -2 -3 -4...

The total area of this rectangular deck is equal to: D. 564.5 ft².

Mathematically, the area of a rectangular deck can be calculated by using this mathematical expression:

Area of a rectangular deck, A = LW

Where:

Therefore, the area of the additional dimension can be calculated as follows;

Area of additional dimension, A = 20.25 × 18

Area of additional dimension, A = 364.5 ft².

Now, we can calculate the total area of this deck as follows;

Total area = original area + new area

Total area = 200 ft² + 364.5 ft²

Total area = 564.5 ft²

Read more on area of a rectangle here: brainly.com/question/25292087

#SPJ1

Answer:

d

Step-by-step explanation:

Answer:

Only the second one is true:

It has a constant rate of change.

Step-by-step explanation:

Complete question :

Last year there were 221 students and 13 teachers at Hillard School. This year there are 272 students. The principal wants to keep the same student-to-teacher ratio as last year. Which proportion can the principal use to find x, the number of teachers needed this year?

Answer:

221 / 13 = 272 / x

Step-by-step explanation:

Given that :

Last year:

Number of students = 221

Number of teachers = 13

Last year:

Number of students = 272

Number of teachers = x

To keep the same student to teacher ratio :

We equate the ratio for both years :

221 / 13 = 272 / x

221x = 272 * 13

221x = 3536

x = 3536 / 221

x = 16

Answer:

so what is the question pls brief it up

Answer:

CAN U CUMMM?

Step-by-step explanation:

Answer:

a) 132 g oat cereal, 132 g pretzels, 66 g nuts

b) 84 g oat cereal, 84 g pretzels, 42 g nuts

c) 200 g oat cereal, 200 g pretzels, 100 g nuts

d) 300 g oat cereal, 300 g pretzels, 150 g nuts

Step-by-step explanation:

a) 330 = 5x

x=66

132 oat cereal

132 pretzels

66 nuts

(And repeat for all masses)

:] Tell me if this is incorrect!

(Brainliest would help a lot lol)

a) The unit rate of change of d with respect to t is equal to 1.6

b) the graph of the line in the attached figure.

Given: A proportionate relationship between d and t with the characteristic that a rise in t of 5 units causes a rise in d of 8 units.

To locate: A rise of 5 units in t causes a rise of 8 units in d, according to the line's unit rate of change with respect to t.

=> Slope  =   Δd/Δt   = 8/5 = 1.6

the proportional relationship between d  and t

=> d ∝ t

=> d = 1.6t

t           d=1.6t

0          0

1           1.6

2           3.2

3           4.8

Plot the points and draw a line passing through points.

Know more about Graphs

https://brainly.com/question/12480477

#SPJ4