A parachutist's rate during a free fall reaches 70 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 2 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answer:

\(21 \sqrt{2} \)

Step-by-step explanation:

See attached image.

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

Its not A!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Its not!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

Learn more about Pythagoras theorem here: https://brainly.com/question/27997683

#SPJ1

Divide each term by 6 and simplify.

x = −9

Answer:

x=-9

Step-by-step explanation:

6x = –54

To find x divide both sides by 6.

6x/6 = –54/6

x= -9

The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ1

Answer:

be adding more money

Step-by-step explanation:

deposit means to add withdraw means to take out

Answer:

increase

Step-by-step explanation:

a. 16th percentile: Approx. 1,300 gal

b. Median: Approx. 1,500 gal

c. 84th percentile: Approx. 1,700 gal.

Use the concept of Empirical rule defined as:

The \(68\text{ } 95 \text{ } 99\) rule is commonly defined as the empirical rule in the statistics branch.

It asserts that in the given normal distributions,

68% of observed points will fall within one standard deviation of the mean,

95% will come within two standard deviations, and

99.7% will occur within the three standard deviations.

Given that,

The distribution of weekly water usage for single-family homes is mound-shaped and approximately symmetric.

Mean (average) water usage is 1,500 gallons.

The standard deviation of water usage is 200 gallons.

We are using the Empirical Rule to estimate percentiles.

(a) To find the approximate value of the 16th percentile:

Use the Empirical Rule,

Since the distribution has symmetricity and we know that the 16th percentile is equivalent to one standard deviation below the mean.

So, the approximate value of the 16th percentile would be:

\(\text {Mean - (standard deviation)}\)

= 1,500 - 200

= 1,300 gallons.

(b) The median is 50%, and according to the Empirical Rule, the median always overlaps with the mean.

Hence,

The approximate value of the median is 1,500 gallons.

(c) To find the approximate value of the 84th percentile:

Again use the Empirical Rule,

Since the distribution has symmetricity,

We know that 84% is equivalent to the standard deviation above the mean.

So, the approximate value of the 84th percentile would be:

\(\text {Mean - (standard deviation)}\)

= 1,500 + 200

= 1,700 gallons.

To learn more about statistics visit:

https://brainly.com/question/30765535

#SPJ12

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

For more ssuch questions on surface area visit:

https://brainly.com/question/16519513

#SPJ8

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Answer:

B is your answer

Step-by-step explanation:

6 times 6=36

9 times 9=81

total           117

Answer:

b SquareRoot(117)

Step-by-step explanation:

see attached picture

I hope I could help

Answer:

Step-by-step explanation:

Daily dosage is 53 mg/kg(37 kg) = 1,961 mg

There are 24/4 = 6 four hour periods in each day.

So a four hour dosage should be 1961 / 6 =  327 mg

500 mg > 327 mg

So one tablet every 4 hours would exceed the recommended dosage by roughly 50%.

A closer dosage might be to take 1 tablet every 6 hours.

The suspension may be a better solution if effects of overdose are severe. A 5 mL dose every four hours would be very close to ideal.

Answer:

The function is always Decreasing

Step-by-step explanation:

By graphing the polyminal in order to determine the intervals over which it is increasing or decreasing we find that it always decreasing.

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).

__

To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.

undo divide by 3

Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:

  3(6) = 3(x +2)/3

  18 = x +2

undo add 2

Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:

  18 -2 = x +2 -2

  16 = x

The value of x that makes this equation true is x = 16.

Answer:

I hope it helped U

stay safe stay happy

Answer:

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

you have 1/2+1/3 so you take the numerator of the first fraction and multiply it, and do the same for the numerator of the second fraction. you should be left with 2 & 3. you add those two together and there is your answer. if i am wrong please tell me so i can find the mistake.

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

For more such questions on geometric sequence

https://brainly.com/question/24643676

#SPJ8

The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket whose initial velocity is; 72 feet per second is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

Read more on maximum height;

https://brainly.com/question/82347

#SPJ1

Answer:

B) 9  3/8 in

Step-by-step explanation:

The scale model of the model is 1/2 in for 4 feet, or 1 in for 8 feet.

The real light house is 75 feet. Divide 75 with 8:

75 feet/8 feet per inch = 9.375, or 9 3/8 inches.

B) 9  3/8 in. is your answer.

~

Answer:

(7, -2)

Step-by-step explanation:

x + 3y = 1

-3x - 3y = -15

(x-3x) + (3y-3y) = 1-15

-2x + 0 = - 14

-2x = - 14

x = 7

x + 3y = 1

7 + 3y = 1

3y = 1-7

3y = -6

y = -2

Answer:

D: (7 , -2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(3)⋅(x+3y)=(3)(1)

−3x−3y=−15

Simplify

3x+9y=3

−3x−3y=−15

Add the two equations together to eliminate x

from the system.

3x+9y= 3

+     −3x−3y=−15

_____________

6y=−12

Divide each term by 6 and simplify.

y=−2

Substitute the value found for y into one of the original equations, then solve for x.

x=7

The solution to the independent system of equations can be represented as a point.

(7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

x=7, y=−2

I hope this helps!!!!!!!

Answer: 15

Step-by-step explanation:

casue

Answer:

x = 1

Lemme know if you need the steps.

Please mark brainliest if possible :)

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

To learn more about dilation factor, refer to the link-

https://brainly.com/question/3457976

#SPJ9

Complete Question

The figure has been attached here

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

Learn more on Pythagorean theorem here: https://brainly.com/question/25958868

#SPJ1

Answer:

b. non-directional

Step-by-step explanation:

A directional hypothesis can be described as a hypothesis which predicts the direction of impact, either positive or negative, of one variable, especially independent variable, on the other variable which is known as an independent variable. For example, the hypothesis "age reduces memory performance" is a directional hypothesis. The reason is that "reduces" show the direction that age has a negative effect on memory performance.

On the other hand, non-directional hypothesis can be described as a hypothesis that does not predict the direction of impact but only states the relationship between two variables. For example, the research hypothesis is in the question that "age is related to memory performance" is non-directional hypothesis. This because the word "related" in the hypothesis only indicate that there is a relationship between the two variables, not the direction of effect of one variable on the other.

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13