When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 7 kg, the acceleration of the object is 8 m/s^2. If the same force acts upon another object whose mass is 4 kg, what is this object's acceleration?

Answer:

1/6

Step-by-step explanation:

4/9 live in Wells, so the probability of ONE winner being from Wells is 4/9.  Now there are 8 people left, and 3 live in Wells.  The odds of another person being chosen from Wells is 3/8.

4/9x3/8=12/72

12/72=1/6

The distance traveled by the ping-pong ball as it rolls forward 6 meters and bounces backward 3 meters is 3 meters.

Distance is a concept that is important to understand in physics and mathematics. It refers to the amount of space between two points. In this scenario, we will be discussing the distance traveled by a ping-pong ball as it rolls forward and bounces backward.

When the ping-pong ball rolls forward, it covers a distance of 6 meters. This can be represented mathematically as d1 = 6 meters.

When the ball bounces backward, it covers a distance of 3 meters. This can be represented as d2 = -3 meters which means the negative sign indicates that it is moving in the opposite direction.

The total distance traveled by the ball can be found by adding the distance traveled in each direction. This can be represented as

=> d = d1 + d2 = 6 + (-3) = 3 meters.

In other words, the total distance traveled by the ball is 3 meters, which is the net distance covered after taking into account both the forward and backward movements.

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The caramel topping demand curve will not change:

The cost of caramel topping is falling; there will be an increase in demand for caramel topping:

Butterscotch topping costs more money;

There will be less demand for caramel topping:

Ice cream now costs more money.

The quantity of caramel topping demanded would increase if the price of the topping dropped. Consequently, the demand curve for caramel topping would go lower.

Ice cream and caramel toppings are complementary products.

Products that are consumed together are said to be complementary.

The amount of ice cream demanded would drop if the price went up. There would be a drop in the number of caramel toppings needed as a result of the fall in demand.

a decline in the popularity of caramel toppings. With less demand, the demand curve for caramel toppings would move inward.

Butterscotch and caramel ice cream toppings serve as stand-ins.

Products that can be used in place of one another are known as substitute goods.

The quantity demanded for butterscotch topping would decline if the price of butterscotch topping rose, making it more expensive overall. Customers might switch to caramel topping. As a result, demand for caramel topping would rise and the demand curve would move outward.

Demand curve: what is it?

The demand curve is a graphical representation of how the cost of an item or service relates to how much is demanded over a given period of time.

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Answer:

Heheee

Step-by-step explanation:

hehehe

Answer: the answer is -1.

the inverse operation of subtraction is addition so you would add 2 on both sides. now you have -4 + 2= -2. now the opposite of multiplication is division. so -2 divided by 2 is -1. hope this helps. Brainliest please!

Answer:

−1=t

Step-by-step explanation:

−4=2t−2

Simplify

First, add the same terms to both of the sides of this equation.

−4=2t−2

−4 + 2 =2t - 2 + 2

Secondly, simplify.

add the numbers

−4 + 2 =2t - 2 + 2

-2 = 2t - 2 + 2

Then,

-2 = 2t - 2+2

-2 = 2t

v

It's simplified to -2 = 2t

Thirdly, Divide both sides of the equation by the same term.

−2=2t

2  over −2

​ =  

2  over 2t

Simplify

(divide the numbers)

2  over −2

​ =  

2  over 2t

which also equals to

(simplify fraction)

−1 =   2  over 2t

-1 = t

​

​

Answer: B) y = -x^4

Work: I just plugged in the numbers into all the equations listed, and B worked correctly for them all, thus that's the correct answer.

I hope this helps, and Happy Holidays. :)

Grams per cubic centimeter to kilograms per cubic meter is 1000.

1 g/cm³ = 1000 1 kg/m³

The conversion value:

Find the conversion from grams per cubic centimeter to kilograms per cubic meter!

Multiply the number with the each conversion value!

See that the cubic centimeter is as a denominator. So, we reverse the fractional value.

1 g/cm³

= 1 × 1/1000 × 1000000/1 kg/m³

= 1000 kg/m³

Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer

The range is the set of possible output values, which are shown on the y-axis.

The final answer

Answer: Neither are functions, so option D

On both tables, one of the inputs has 2 outputs, so no function

Answer:

r = 12

Step-by-step explanation:

DG + GM = DM , substitute values

r + 3 + 4r - 28 = 35 , that is

5r - 25 = 35 ( add 25 to both sides )

5r = 60 ( divide both sides by 5 )

r = 12

Answer:

the bench costs $350 and the table costs $444

Step-by-step explanation:

Answer:

OA. Y = 0.5x + 2

Step-by-step explanation:

The answer is  819 3-digit numbers.

What is positive three-digit numbers?

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The new mean for the given data would be 80.

What is the mean of the numbers?

The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.

Mean = Sum / Count

Firstly 18 students took the test and the mean was 81.

By using the definition of mean we can write

        Mean = sum of scores/number of students

         81 = sum of scores / 18

    Sum of scores = 81 * 18

                             = 1458

Now later the four absent kids made it up and scored 77, 85, 68, and 80.

Now new sum of the scores would be = 1458 + 77 +  85 + 68 + 80

                                                               = 1768

And the total number of students will be = 18 + 4 = 22

New mean = new score/number of students

                  = 1768/22

                   = 80.36

                   ≈ 80

Hence, the new mean for the given data would be 80.

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\(1 + y = x + 4 = x - y = - 3\)

Answer:

the answer is A

Step-by-step explanation:

The correct answer is option A which is y = 33√x + 32.7.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We will check the expression at the different values of x:-

y = 33√x + 32.7.

At x = 1

Y = 33 √1 + 32.7

Y = 33 + 32.7  = 65.7

At x = 2

Y = 33√2 + 32.7

Y = 79.36

By putting the value of x as input we are getting the almost same value of y given in the table.

Therefore the correct answer is option A which is y = 33√x + 32.7.

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The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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a. The complete table for the ordered pairs that are solutions to y = x³ - 4 is

x             y

-1            -5

0            -4

1             -3

2            4

b. The graph of the equation is shown below

From the question, we are to complete the given table of ordered pairs that are solutions to the given equation.

The given equation is

y = x³ - 4

Now, we will determine the values of y for the given values of x

When x = -1

y = x³ - 4

y = (-1)³ - 4

y = -1 - 4

y = -5

(-1, -5)

When x = 0

y = x³ - 4

y = (0)³ - 4

y = 0 - 4

y = -4

(0, -4)

When x = 1

y = x³ - 4

y = (1)³ - 4

y = 1 - 4

y = -3

(1, -3)

When x = 2

y = x³ - 4

y = (2)³ - 4

y = 8 - 4

y = 4

(2, 4)

Thus,

The table is

x             y

-1            -5

0            -4

1             -3

2            4

The graph is shown below

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Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y = 4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x=7

Answer:

\(x = 7\)

Step-by-step explanation:

\(8x - 2y = 48 \\ 8x = 48 + 2y \\ x = \frac{48 + 2y}{8} \)

\(y = 4\)

\(x = \frac{48 + 2y}{8} \\ x = \frac{48 + 2 \times 4}{8} \\ x = \frac{48 + 8}{8} \\ x = \frac{56}{8} \\ x = 7\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y = 1/3x + 10/3  

I hope this helped

Step-by-step explanation:

Answer:y = 1/3x + 10/3

Step-by-step explanation: got it right on edge

9514 1404 393

Answer:

  x = 25; ∠3 = ∠6 = 60°

Step-by-step explanation:

Angles 3 and 6 are alternate interior angles, so are congruent.

  2x +10 = 3x -15

  25 = x . . . . . . . . . . . add 15-2x

  2x +10 = 2(25) +10 = 60

The measures of angles 3 and 6 are 60°.

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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The area of the regular octogon is 196.15 square inches.

For a regular octogon with apothem A and side length L, the area is given by:

area =(2*A*L) * (1 + √2)

Here we know that:

A = 7in

L = 5.8 in

Replacing these values in the area for the formula, we will get the area:

area = (2*7in*5.8in) * (1 + √2)

area = 196.15 in²

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To find the orthogonal projection of a vector onto a subspace, we can use the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ,

where A is a matrix whose columns span the subspace, and u is the vector we want to project.

In this case, the subspace W is spanned by the vector v = [0, 0, 0, 1].

Let's calculate the orthogonal projection of u onto W using the formula:

A = [v]

The transpose of A is:

Aᵀ = [vᵀ].

Now, let's substitute the values into the formula:

projᵥ(u) = A(AᵀA)⁻¹Aᵀᵤ

= v⁻¹[vᵀ]u

= [v][(vᵀv)⁻¹vᵀ]u

Substituting the values of v and u:

v = [0, 0, 0, 1]

u = [1, 0, 0, 0]

vᵀv = [0, 0, 0, 1][0, 0, 0, 1] = 1

[(vᵀv)⁻¹vᵀ]u = (1⁻¹)[0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 1][1, 0, 0, 0] = [0, 0, 0, 0]

Therefore, the orthogonal projection of u onto the subspace W is [0, 0, 0, 0].

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Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

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Answer: X>4

Step-by-step explanation: use distributive property. -5 times X times -7. Subtract -35 from both sides. +35-35 cancels out. Subtract 35 from 15. Divide -5 from both sides. Edit: omg I just realized I didn’t change the sign!

-5x+35<15

-35<15-35

-5x<15-35

-5x<-20

x>4

The surface area of the box with a height of 8 inches, a length of 12 inches, and a width of 6 inches is 432 square inches.

The surface area of a box with a height of 8 inches, a length of 12 inches, and a width of 6 inches can be calculated using the formula SA = 2lw + 2lh + 2wh. In this case, SA stands for surface area, l stands for length, w stands for width and h stands for height.

To calculate the surface area of the box, substitute the given values for l, w and h into the formula and solve:

SA = 2(12)(6) + 2(12)(8) + 2(6)(8)

SA = 144 + 192 + 96

SA = 432 square inches

Therefore, the surface area of the box with a height of 8 inches, a length of 12 inches, and a width of 6 inches is 432 square inches.

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The simplified fraction is 7/24.

7/24 of the people surveyed were born in France.

To find the fraction of people born in France, we need to calculate the ratio of the number of people born in France to the total number of people surveyed.

The total number of people surveyed is the sum of the values in the pie chart: 57 (UK) + 66 (Germany) + 105 (France) + 75 (Ireland) + 57 (Other) = 360.

The number of people born in France is given as 105.

Therefore, the fraction of people born in France is 105/360.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

105/15 = 7/1

360/15 = 24/1

So, the simplified fraction is 7/24.

Therefore, approximately 7/24 of the people surveyed were born in France.

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