A submarine is searching for underwater features. it is accompanied by a small aircraft and an underwater robotic veichle

Answer:

solution given;

length [l]=8in

breadth [b]=2in

height [h]=12in

we have

the surface area of the prism=2[lb+bh+lh]

=2[8×2+2×12+8×12]=272in²

272in² is your answer

Answer:

  101 1/3 minutes

Step-by-step explanation:

You want to find the time for leaking 16 ounces of juice, given that leaking 3 ounces takes 19 minutes.

Writing the proportion as time (minutes)/volume (ounces), we have ...

  t/16 = 19/3

To solve this "using a giant one" we can use 1 = 3/3 on the left, and 1 = 16/16 on the right.

  \(\dfrac{t}{16}\times\dfrac{3}{3}=\dfrac{19}{3}\times\dfrac{16}{16}\\\\\\\dfrac{3t}{48}=\dfrac{304}{48}\\\\\\3t=304\qquad\text{equate numerators}\\\\\\t=\dfrac{304}{3}=101\dfrac{1}{3}\qquad\text{divide by 3}\)

It will take 101 1/3 minutes for the juice to leak out.

__

Additional comment

The method of "using a giant one" does not work well here, because the numbers in one proportion are not a simple multiple of the numbers in the other.

For this proportion, a better strategy is to multiply both sides by the denominator of the variable: 16. After the multiplications and division, that is effectively what we accomplished using more steps.

We could have used a "giant one" that was (16/3)/(16/3), and we would have gotten the same result: t = (19)(16/3).

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The equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

What is perpendicular lines?

When two geometric objects intersect at a right angle, they are considered to be perpendicular in elementary geometry. By using the perpendicular symbol,, the condition of perpendicularity can be graphically represented. Between two lines, a line and a plane, or between two planes can be used to define it.

Consider the given equation of line

5x + 4y = 10

Convert it into the form y = mx + c

⇒ 4y = -5x + 10

y = -5/4x + 10/4

y = -5/4x + 5/2

Here the slope of line is, -5/4.

The slope of perpendicular line is negative reciprocal of the slope of given line.

So, the slope of perpendicular line is,

\(-\frac{1}{(-5/4)} = \frac{4}{5}\)

Also the line passes through the point (5, -4).

By using the point slope form to find the equation of line

\(y-y_1 = m(x-x_1)\\y-(-4) = \frac{4}{5}(x-5)\\ y+4=\frac{4}{5}x - 4\\ y = \frac{4}{5}x - 4 - 4\\ y = \frac{4}{5}x - 8\)

Hence, the equation of the perpendicular line to the given line is, \(y = \frac{4}{5}x - 8\).

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Secondary data analysis type of research should jane conduct .

What does a secondary data approach entail?

The information that has previously been gathered from primary sources and made easily accessible for use in other researchers' studies is referred to as secondary data.

                        This particular type of data has already been gathered in the past. Data that has already been obtained by another party is referred to as secondary data.

What does secondary analysis research methodology entail?

Utilizing data that has already been collected for a previous study in order to pursue a research interest separate from the original work is known as secondary analysis.

                                   This interest could be a new research question or a different way of looking at the original question.

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The 17th term of the arithmetic series would exceed the 16th term by the common difference

17th term = 16th term + 4

Hence the 16th term is 30 - 4 = 26

Answer:

No, Dawn is not correct.

Step-by-step explanation:

I cannot provide you with a model, but the 30% discount should be applied first. 60*(70/100) = 42. Therefore, after the 30% discount, the cost will be $42. After that, Dawn should use her coupon. It will then get you 42*(85/100) = 35.70. Therefore, she would pay $35.70.

The total number of parking spaces in the elementary school can be represented by the equation T = x + y where x and y are the spaces at the back and front. The total number of spaces in the school is 136.

There are two parking lots at Sycamore elementary school.

The front parking lot has 34 parking spaces and the back parking lot has three times as many spaces as the front.

Let x and y be the number of the parking lots at the front and back of the school respectively.

Then, the equation for the spaces at the back is:

y = 3x

y = 3 × 34

y = 102

Then the total number of parking spaces in the elementary school can be represented as the equation:

T = x + y

T = 34 + 102

T = 136

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Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

HUIH

Step-by-step explanation:

Answer:

-----------------

Find each area and then find their difference.

The difference is:

To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.

The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.

Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.

Using the arithmetic sequence formula for the sum of terms, we have:

s2 = (2/2) * (2a + (2-1)d) = 2a + d

s5 = (5/2) * (2a + (5-1)d) = 5a + 6d

s7 = (7/2) * (2a + (7-1)d) = 7a + 12d

Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:

s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d

s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d

Now, equating the differences, we have:

3a + 5d = 2a + 6d

Simplifying the equation, we find:

a = d

Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.

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Answer:

a) √500

Step-by-step explanation:

I hope it will help you

Answer:

v500

Step-by-step explanation:

i got it right (plato) and on edmentum

The options are given as follows:

a. H0: fragrance opinion is not independent of gender; Ha: fragrance opinion is independent of gender

b. H0: gender = fragrance opinion; Ha: gender \(\neq\) fragrance opinion

c. H0: fragrance opinion is independent of gender; Ha: fragrance opinion is not independent of gender

d. H0: gender \(\neq\) fragrance opinion; Ha: gender = fragrance opinion

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

The answer is option (d).

H0: gender \(\neq\) fragrance opinion

Ha: gender = fragrance opinion

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AC and BD are the diagonals of the parallelogram.

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Therefore, the correct answer is choice B

The exponential function f with f(2) = 3 and a doubling time of 5 results in f(27) = 096.

To find f(27) given that f(2) = 3 and the doubling time is 5, we can use the general form of an exponential function: f(x) = a * (2^(x/d)), where a represents the initial value, x is the input value, and d is the doubling time.

Given that f(2) = 3, we can substitute these values into the exponential function equation: 3 = a * (2^(2/5)).

To find the value of a, we can solve the equation for a: a = 3 / (2^(2/5)).

Now, we can substitute a into the exponential function to find f(27): f(27) = (3 / (2^(2/5))) * (2^(27/5)) = 096.

Therefore, the value of f(27) is 096.

---

Supporting answer:

In this problem, we are given an exponential function with an initial value of f(2) = 3 and a doubling time of 5. The doubling time represents the time it takes for the function to double its value. We can use the general form of an exponential function, f(x) = a * (2^(x/d)), to find the value of f(27).

Substituting the given values, we have 3 = a * (2^(2/5)). To solve for a, we divide both sides of the equation by (2^(2/5)): a = 3 / (2^(2/5)).

Now, we can substitute the value of a into the exponential function to find f(27). By plugging in x = 27, we get f(27) = (3 / (2^(2/5))) * (2^(27/5)). Evaluating this expression gives us f(27) = 096.

Therefore, the value of f(27) is 096, which is the answer.

In summary, the exponential function f with f(2) = 3 and a doubling time of 5 results in f(27) = 096.

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Answer: c

Step-by-step explanation: I’m sm0rt :0

Answer:

C

Step-by-step explanation:

A. B . C

Step-by-step explanation:

(0.5-2)-1 = -1.5 - 1

= -2

(3+4) -2 = 7 - 2

= 5

(-8+5)+3 = -3+3

= 0

-(0.5-2)+1 = -(-1.5)+1

= +1.5 + 1

= 2.5

-(3+4)+2 = -(7) +2

= -5

-(-8-5) -3 = -(-13) -3

= +13 -3

= 10

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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To add polynomials in a horizontal method, combine like terms. For the vertical method, write the polynomials in standard form and align like terms in columns, and combine like terms. To subtract polynomials in a horizontal method, find the negative (opposite)  of the polynomial that is being subtracted and then combine like terms. For the vertical method, write the polynomials in standard form, align like terms, and subtract by adding the negative (opposite).

To add polynomials vertically,  one need to write them in standard form and align like terms in the columns. Combine like terms and add them to the polynomial.

Therefore, note that Polynomials are seen as expressions with variables and coefficients. Combine or subtract like terms when adding or subtracting them.

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WRITE Describe how to add and subtract polynomials using both the vertical and horizontal methods.

To add polynomials in a horizontal method, combine  ----- For the vertical method, write the polynomials in  --------  align like terms in columns, and combine like terms. To subtract polynomials in a horizontal method, find the ------ of the polynomial that is being and then combine like terms. For the vertical method, write the polynomials in standard form, align like terms and  and subtract by adding the  -------

Answer:

y = -5x - 10

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Now, in your case:

5x + y = -10

Move 5x (don't forget to change the signs!):

y = -5x - 10

Hope this helps!

A docking shuttle needs to decelerate at a very specific rate. The shuttle's deceleration rate is given by the equation:F = ma,where:F = the force exerted on the shuttle,a = the shuttle's acceleration, andm = the shuttle's mass.We can rearrange this equation to solve for the shuttle's acceleration:a = F/m

Given the shuttle's deceleration rate, we can calculate the force exerted on the shuttle using the formula:F = ma, where:m = the shuttle's mass, anda = the deceleration rate.We can rearrange this equation to solve for the force:F = ma So, the force exerted on the shuttle is:

F = 1850000 * - 4.5F = -8.325 * 10^6 N.

To find the time it will take the shuttle to dock, we will use the following equation of motion:S = ut + 1/2 at² where:S = the distance travelled by the shuttle,u = the initial velocity of the shuttle,a = the shuttle's acceleration,t = the time taken by the shuttle to travel the distance "S".Since the shuttle begins at 30 km away and is moving at 300 m/s, we can convert the initial velocity to km/s by dividing it by 1000. So,u = 300/1000 = 0.3 km/s.Similarly, we need to convert the distance from km to m.S = 30 km = 30000 m.Substituting the values into the equation:

S = ut + 1/2 at²30000 = 0.3t - 1/2 (8.325 * 10^6) t²

Simplifying the equation,

8.325 * 10^6 t² - 0.3 t + 30000 = 0

Using the quadratic formula,t = 11.88 s or t = - 0.0035 s.Since the time taken by the shuttle to dock cannot be negative, we can disregard the second answer.So, the docking shuttle will take 11.88 s to dock. In order for a docking shuttle to dock, it must first decelerate at a specific rate, which is given by the formula F = ma, where F is the force exerted on the shuttle, a is the shuttle's acceleration, and m is the shuttle's mass. The deceleration rate is given in the problem, so we can use this to calculate the force exerted on the shuttle. Once we have the force exerted on the shuttle, we can use the equation of motion S = ut + 1/2 at² to find the time taken by the shuttle to dock. The initial velocity of the shuttle is given as 300 m/s, which we need to convert to km/s by dividing it by 1000. Similarly, we need to convert the distance from km to m. Substituting the values into the equation and simplifying, we get the quadratic equation 8.325 * 10^6 t² - 0.3 t + 30000 = 0. Using the quadratic formula, we get two answers: t = 11.88 s or t = - 0.0035 s. Since the time taken by the shuttle to dock cannot be negative, we can disregard the second answer. Therefore, the docking shuttle will take 11.88 s to dock.

Thus, we can conclude that the docking shuttle will take 11.88 s to dock.

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Answer:

Step-by-step explanation:

perp.: 1/3

y - 12 = 1/3(x - 9)

y - 12 = 1/3x - 3

y = 1/3x + 9

\(3^{4m+4}+3^{4m}=246\\ (3^{4}+1)*3^{4m}=246\\82*3^{4m}=246\\3^{4m}=3\\m=\frac{1}{4}\)

Proportionately, if Cameron can cut 8 boards in 30 minutes, it would take him 45 minutes to cut 12 boards.

Proportion is the equation of two ratios, which are relative values under comparison.

Proportion is the portion representing a quantity compared to another.

Proportions are fractional values computed as the quotients of numerators and the denominators.

The number of boards Cameron can cut in 30 minutes = 8

Proportionately, to cut 12 boards, Cameron will need 45 minutes (30/8 x 12).

Thus, using proportions, we can determine that Cameron can cut 12 boards in 45 minutes if it takes him 30 minutes to cut 8 boards.

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Answer:

4.7

Step-by-step explanation:

I hope my answer help

The answer is y=4/3x+7

Just multiply -9 by 4/3 to get -12, then figure out how much it takes to get -12 to -5