A rocket is launched into the air the height in yards of the rocket is a function of time in seconds as shown in the following table what is the rockets average rate of change?

Answer: (Multiply by 3)

63 pages in 3 hours

Step-by-step explanation:

Answer:

To go from 1 hour to 3 hours, you

✔ multiply by 3

.

Damian can read

✔ 63

pages in 3 hours.

Step-by-step explanation:

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

Answer:

infinite solutions

Step-by-step explanation:

it means that all x are solution of this equation as 6=6 is always true

Answer:

5

Step-by-step explanation:

Mode is which number occurs most, and in this set of data, 5 occurs two times.

Answer:

5 feet and 60 inch

Step-by-step explanation:

5 feet and 60 inches

Step-by-step explanation:

Step-by-step explanation:

1. if to rewrite the given equation, then

y= -3(x+5)²+1;

2. the vertex of the parabola is (-5;1) and it is the highest point. Then

3. domain: x is any value, x∈(-∞;+∞);

range: y not greater than 1, y∈(-∞;1].

For the parabola f(x) = -3x² - 30x - 74, the domain is all real numbers (-∞, ∞), and the range is also all real numbers (-∞, ∞).

To determine the domain and range of the given parabola f(x) = -3x² - 30x - 74, we need to understand the behavior of parabolas.

The domain of a function represents all the possible x-values for which the function is defined. In this case, there are no restrictions on the x-values for the given quadratic function. Therefore, the domain is all real numbers, expressed as (-∞, ∞).

The range of a function represents all the possible y-values that the function can produce. For a parabola, if the coefficient of the squared term (in this case, -3) is negative, the parabola opens downward. Since the coefficient is negative, the parabola will have a maximum value. In this example, there is no minimum or maximum specified; thus, the range will also be all real numbers.

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An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

3 cups of orange juice.

Step-by-step explanation:

Multiply 1/4 by 4 to get 1

Also multiply 3/4 to get 3

Answer:

Answer is...D)

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Hope This Helps<3

The side of the length will be x = √m square inches.

The area of the square and rectangle is -

Square = [x]²           {x is the side of a square]

Rectangle = L x B    {L is the length and B is breadth}

Given is Lisa who is decorating outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is [m] square inches.

It is given that the the area of the square is [m] square inches.

Assume that the length of the side is [x] inches.

x² = m

x = ±√m

Side cannot be negative. Therefore, the side of the length will be -

x = √m

Therefore, the side of the length will be x = √m square inches.

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Answer:

Sum is 4/8

Difference is 2/8

Step-by-step explanation:

Sum is adding so add the numerators and denominators would be the same

Difference is subtraction

Answer:

the volume of a sphere with a radius of 4 units.

=4/3πr³=4/3×π×64 is your answer

Of the first 100 vehicles, there are nine convertible green cars.

The sequence of green cars:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99

The sequence of convertible cars:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.

Convertible and Green cars (in the very first 100 cars):

12, 24, 36, 48, 60, 72, 84, and 96.

Thus, of the first 100 vehicles of auto assembly line, there are nine convertible green cars.

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The complete question is-

On an automobile assembly line, every third car is green. Every fourth car is a convertible. How many cars out of the first 100 will be green convertibles?

Answer:

X=45

Step-by-step explanation:

You see the congruency markings use B.A.T to determine that the unmarked angle is x, therefore 4x=180 and x=45

Answer:

The height of cylinder is 10 meters.

Step-by-step explanation:

Given

Curved Surface Area = 44m^2

Radius = r = 0.7 m

The curved surface area of a cylinder is given by:

\(CSA = 2\pi rh\)

Putting the values we get

Pi can be taken as 22/7 or 3.14

We are taking 22/7 for the question

\(44 = 2 * \frac{22}{7} * 0.7 *h\\44 * \frac{7}{22} = 1.4h\\14 = 1.4h\\h=\frac{14}{1.4}\\h=10 m\)

Hence,

The height of cylinder is 10 meters.

Answer:

True

Step-by-step explanation:

Slope:

The slope of an equation represents how the y value changes as the x values changes, defined as: \(\frac{\text{change in y}}{\text{change in x}}\), so the slope of 60 can be represented as: \(\frac{60}{1}\), which tells us the amount of water (y-axis) increases by 60 units each hour (x-axis), or in other words, the rate at which the amount of water changes each hour.

Answer:

A placebo is a pill with no active ingredients that looks like the hormone pill.

Step-by-step explanation:

The experiment was double-blind. Blind means that women did not know if they were receiving hormones or the placebo. Double-blind means that the information was coded, so researchers administering the pills did not know which treatment the women received. After 5 years, the group taking hormones had a higher incidence of heart disease and breast cancer. This is exactly the opposite result from the result found in the observational studies. In fact, the differences were so significant that the researchers ended the experiment early. The National Institutes of Health declared that the observational studies were wrong. Hormone replacement therapy to treat menopausal symptoms is now rarely used.

Answer:

391 cm²

Step-by-step explanation:

area of the parallelogram,

A = base * height

= 23 * 17

= 391 cm²

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

f(-2)=(1-3×-2)

f(-2)=1+6

f(-2)=7 ans

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cube of volume V, the edge length is ...

  s = ∛V

and the area is ...

  A = 6s² = 6V^(2/3)

Then the ratio of area to volume is ...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

If the value of V is increased by a factor of 10, the ratio of area to volume is now ...

  r2 = 6(10V)^(-1/3)

The factor by which the ratio changed is ...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The surface area per unit volume changes by a factor of (∛100)/10.

___

Example

For a cube of side length 2, the volume is 2³ = 8 and the surface area is 6·2² = 24. The ratio of surface area to volume is 24/8 = 3.

Multiplying the edge length by ∛10, we now have a volume of (2∛10)³ = 80, and a surface area of 6(2∛10)² = 24(10^(2/3)). The ratio of surface area to volume is ... 24(10^(2/3))/80 = 0.3∛100.

The ratio of area to volume changed by a factor of (0.3∛100)/3 = (∛100)/10, as above.

0.15 cups of flour will be in each pancake.

As per the given data:

Desmond is making chocolate chip pancakes for his whole family.

He uses 3 cups of flour to make the 20 equal-sized pancakes.

Here we have to determine that how many cups of flour will be in each pancake.

Here we use the unitary method to find the number of cups of flour will be in each pancake.

Unitary method: The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Number of cups of flour in each pancake = \($\frac{3}{20}\)

= 0.15

Therefore 0.15 cup of flour in each pancake.

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Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

Answer:

4% of x

Step-by-step explanation:

20% of x

y% of 20

Hope it is what you are looking for