A car speed increases from 40 km/hr to km/hr in 5 sec. Calcuate the acceleration of car:​

Answer:

11600kg

Step-by-step explanation:

Given parameters:

Density of aluminium  = 2900kg/m³

  Volume needed  = 4m³

Unknown:

Mass of the aluminum needed  = ?

Solution:

Density is the mass per unit volume of a substance.

 Mathematically;

        Density  = \(\frac{mass}{volume}\)

  Mass  = density x volume

Now, insert the parameters and solve;

  Mass = 2900 x 4  = 11600kg

Answer:

Option b is correct.

Step-by-step explanation:

Question 4:

Given: \(12\) __ \(-15=27\)

To find: operation that should go in the blank

Solution:

Put subtraction \((-)\) in the blank.

\(12(-)-15=27\)

\(12+15=27\)

\(27=27\) which is true.

So, subtraction satisfies the given equation.

Option b is correct.

Answer:

b=   -1/2 a + 15

Step-by-step explanation:

isolate 2B, Take A to the other side and it will become negative. divide all by 2 because of 2B so we can get rid of 2. and that's all

Answer:

A is correct

Step-by-step explanation:

The opposite of a negative is a positive. Anything positive is bigger than a negative

Answer:

A

Step-by-step explanation:

I got it right on the test and can confirm that a is the correct answer

answer :

9(2p+1)

steps

(10p+10)+(8p−1)

18p+9

9(2p+1)

chatgpt

Step-by-step explanation:

range, mode, median, mean

Answer:

range, mode, mean, median

Step-by-step explanation:

I just did it on odyssey

The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

A.

Step-by-step explanation:

The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the coefficient of the expression is +2 .

hope this helps.

Answer:

3 yards because I looked it up

The general solution for the second differential equation is y = \(e^[(1/2)x^2 + C2] - 4\)

1. \(dy/dx = 2x/y\)

Step 1: Separate variables. To do this, multiply both sides by y and divide both sides by dx:
\(y dy = 2x dx\)

Step 2: Integrate both sides:
\(∫y dy = ∫2x dx\)

Step 3: Evaluate the integrals:
\((1/2)y^2 = x^2 + C1\), where C1 is the constant of integration.

Step 4: Solve for y to obtain the general solution:
\(y^2 = 2x^2 + 2C1\\y = ±√(2x^2 + 2C1)\)

So, the general solution for the first differential equation is \(y = ±√(2x^2 + 2C1\)).

2. \(dy/dx = x(y+4)\)

Step 1: Separate variables. To do this, divide both sides by (y+4) and multiply both sides by dx:
\(dy / (y+4) = x dx\)

Step 2: Integrate both sides:
\(∫[1 / (y+4)] dy = ∫x dx\)

Step 3: Evaluate the integrals:
\(ln|y+4| = (1/2)x^2 + C2\), where C2 is the constant of integration.

Step 4: Solve for y to obtain the general solution:
\(y+4 = e^[(1/2)x^2 + C2]\\y = e^[(1/2)x^2 + C2] - 4\)

So, the general solution for the second differential equation is y = \(e^[(1/2)x^2 + C2] - 4\)

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The number of puppies per kids is 20 puppies.

Given that, there are 180 puppies in the shelter with 9 kids.

Number of puppies per kids = Total number of puppies/Number of kids

= 180/9

= 20 puppies

Therefore, the number of puppies per kids is 20 puppies.

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The length ratio is 1/72, and the width ratio is approximately 0.014.

Let's convert the measurements to a common unit for easier comparison. Since the dimensions of the field are given in yards, let's convert the dimensions of the foosball table to yards.

The foosball table dimensions are:

Length = 30 inches = 30/36 yards = 5/6 yards

Width = 55 1/2 inches = 55.5/36 yards = 1.54 yards (rounded to two decimal places)

The soccer field dimensions are:

Length = 60 yards

Width = 110 yards

Now, let's calculate the ratios of the corresponding dimensions:

Length ratio = (Foosball table length) / (Soccer field length)

= (5/6) / 60

= 5/360

= 1/72

Width ratio = (Foosball table width) / (Soccer field width)

= 1.54 / 110

= 0.014

Thus, the length ratio is 1/72, and the width ratio is approximately 0.014.

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The complete question si as follows:

Jason wants to determine if his foosball table is a dilation of his school's soccer field. The dimension of the table are 30 inches by 55 1/2 inches, and the dimensions of the field are 60 yards by 110 yards. Is the table a dilation? Explain.

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

The answer to the question is C. 5,20,80,320

Step-by-step explanation:

5*4=20

20*4=80

80*4=320

The value of c that satisfies the conclusion of the mean value theorem is c≈7.69.

The mean value theorem states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists at least one point c in (a,b) where the value of the derivative of f(x) is equal to the slope of the line connecting the endpoints of the interval, i.e., \(f'(c)=(f(b)-f(a))/(b-a).\)

Here, the function \(f(x)=x^(3/4)\) is continuous on the closed interval [0,16] and differentiable on the open interval (0,16), as the derivative of f(x) is \(f'(x)=(3/4)x^(-1/4)\), which is defined for all x in (0,16).

Therefore, we can apply the mean value theorem to this function on the interval [0,16].

To find the value of c that satisfies the conclusion of the mean value theorem, we first calculate the slope of the line connecting the endpoints of the interval: \((f(b)-f(a))/(b-a)=[(16)^(3/4)-(0)^(3/4)]/(16-0)\)=\(2sqrt(2).\) Then, we set f'(c)=2sqrt(2) and solve for c:

\(f'(c)=(3/4)c^(-1/4)=2sqrt(2)c^(-1/4)=(8/3)sqrt(2)c=(3/2)^(4/3)≈7.69\)

Therefore, the value of c that satisfies the conclusion of the mean value theorem is c≈7.69.

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Answer:

1029668518078.5

Step-by-step explanation:

Just put it in a calculator :D

Answer:

A. Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.
Explanation:

Just took the Quick Check :)

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

Thermal energy is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

It is a type of internal energy, which is the energy possessed by a system due to the movement and interactions of its constituent particles.

We have,

Thermal energy is a measure of an object or substance’s heat:

While thermal energy and heat are related, they are not exactly the same thing.

Heat is the transfer of thermal energy between objects or substances due to a temperature difference.

Thermal energy, on the other hand, is the energy contained in an object or substance due to the movement of its particles.

Thermal energy is kinetic energy:

While thermal energy is related to kinetic energy, they are not exactly the same thing.

Kinetic energy is the energy of motion, while thermal energy specifically refers to the kinetic energy of an object's particles.

Thermal energy is the energy stored in an object’s chemical bonds:

While chemical bonds do store energy, this is not the best description of thermal energy.

Thermal energy specifically refers to the energy stored in the movement of an object's particles.

Therefore,

The best description of thermal energy is that it is the kinetic energy contained in an object or substance due to the movement of its atoms and/or molecules.

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The graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

The given graph is wrong for the given inequality  y ≤ 3x - 2

The correct graph for the given inequality is shown below.

The given graph would be correct for the inequality

y ≥ 3x - 2.

Hence, the graph is wrong because of less than or equal to sign. the correct inequality for the given graph would be y ≥ 3x - 2.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

I got the same thing, maybe try 50 and they expect you to round.

a. i. The polar coordinates (r, theta) of the point (−2, 2), where r > 0 and 0 ≤ theta < 2 is  (√8, -π/4).

  ii. The polar coordinates (r, theta) of the point (−2, 2), where r < 0 and 0 ≤ theta < 2 is (√8, 7π/4).

b. i. The polar coordinates (r, theta) of the point (3, 3 3 ), where r > 0 and 0 ≤ theta < 2 is (3√2, π/6).

  ii. The polar coordinates (r, theta) of the point (3, 3 3 ), where r < 0 and 0 ≤ theta < 2 is (-3√2, 7π/6).

(a)

(i) Using the formula r = √(x² + y²) and theta = arctan(y/x), we get:

r = √((-2)² + 2²) = √8

theta = arctan(2/(-2)) = arctan(-1) = -π/4 (since the point is in the second quadrant)

So, the polar coordinates are (r, theta) = (√8, -π/4)

(ii) For r < 0, we can add π to the value of theta obtained in part (i), so:

(r, theta) = (√8, 7π/4)

(b)

(i) Using the same formula, we get:

r = √(3² + 3²) = 3√2

theta = arctan(3/3√3) = arctan(1/√3) = π/6 (since the point is in the first quadrant)

So, the polar coordinates are (r, theta) = (3√2, π/6)

(ii) For r < 0, we can add π to the value of theta obtained in part (i), so:

(r, theta) = (-3√2, 7π/6)

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Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = \(\frac{3}{4}\) x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{3}{4}\) and c = 1 , then

y = \(\frac{3}{4}\) x + 1 ← equation of line

Answer: 639

Step-by-step explanation: