Write an expression for the ratio of the surface areas and the ratio of the volumes if all three of the dimensions of a prism are increased by a scale factor of k . Explain.

The length HI in the quadrilateral is 63.7 units.

A quadrilateral is a polygon with 4 sides. The quadrilateral BCDE is similar to quadrilateral FGHI.

Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same and the corresponding sides are a ratio of each other.

Therefore,

18 / HI = 13 / 46

cross multiply

46 × 18 = 13 HI

828 = 13HI

divide both sides by 13

HI = 828 / 13

HI = 63.6923076923

Therefore,

HI = 63.7 units

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Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

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The probability of reaching into the box and randomly drawing a chip number that is greater than 3150 is 0.3675

In this question we have been given there are 498 identical plastic chips numbered 1 through 498 in a box.

We need to find the probability of reaching into the box and randomly drawing a chip number that is greater than 315

Total number of chips = 498

so, n(S) = 498

Let event A: drawing a chip number that is greater than 315

The number of chips greater than 315:

498 - 315 = 183

So, n(A) = 183

The probability of reaching into the box and randomly drawing a chip number that is greater than 315 using the formula of probability,

p(A) = n(A)/n(S)

p(A) = 183/498

p(A) = 0.3675

Therefore, the required probability is 0.3675

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Answer:

what is

Step-by-step explanation:

the the 3 4 4

Answer:

\( - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you\)

Given :-

To Find :-

Solution :-

Given equation to us is ,

\(\longrightarrow 5x -2y = 7\)

Convert it into slope intercept form which is y = mx + c ,

\(\longrightarrow 2y = 5x - 7 \)

Divide both sides by 2 ,

\(\longrightarrow y =\dfrac{5}{2}x -\dfrac{7}{2} \)

Now on comparing to slope intercept form , we have ,

\(\longrightarrow m =\dfrac{5}{2} \)

And as we know that the product of slopes of two perpendicular lines is -1 . Therefore the slope of the perpendicular line will be negative reciprocal of slope of the given line . As ,

\(\longrightarrow m_{\perp}= \dfrac{-2}{5} \)

Again the given point to us is (3,-2) . We may use the point slope form to find out the equation of perpendicular line which is ,

\(\longrightarrow y - y_1 = m(x-x_1)\)

Substitute ,

\(\longrightarrow y - (-2) = \dfrac{-2}{5}(x -3)\)

Open the brackets and simplify,

\(\longrightarrow y +2 = \dfrac{-2}{5}x +\dfrac{6}{5} \)

Subtracting 2 both sides ,

\(\longrightarrow y=\dfrac{-2}{5}x +\dfrac{6}{5}-2 \)

\(\longrightarrow y =\dfrac{-2}{5}x +\dfrac{6-10}{5}\)

Simplify,

\(\longrightarrow \underline{\underline{ y = \dfrac{-2}{5}x -\dfrac{4}{5}}}\)

This is the required answer !

(a) a = 209, b = 15: 209 = 15 × 13 + 4

  Quotient q = 13, Remainder r = 4

(b) a = 986, b = 49: 986 = 49 × 20 + 26

  Quotient q = 20, Remainder r = 26

To find the quotient q and remainder r when dividing a by b, we can use the division algorithm which states that for any integers a and b (where b ≠ 0), there exist unique integers q and r such that:

a = bq + r, where 0 ≤ r < |b|

Let's calculate the quotient and remainder for the given values of a and b:

(a) a = 209 and b = 15

We divide 209 by 15:

209 = 15 × 13 + 4

So, the quotient q is 13 and the remainder r is 4.

Therefore, when dividing 209 by 15, the quotient q is 13 and the remainder r is 4.

(b) a = 986 and b = 49

We divide 986 by 49:

986 = 49 × 20 + 26

So, the quotient q is 20 and the remainder r is 26.

Therefore, when dividing 986 by 49, the quotient q is 20 and the remainder r is 26.

In summary:

(a) a = 209, b = 15: 209 = 15 × 13 + 4

  Quotient q = 13, Remainder r = 4

(b) a = 986, b = 49: 986 = 49 × 20 + 26

  Quotient q = 20, Remainder r = 26

Please note that the quotient and remainder are whole numbers obtained from the division algorithm.

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Answer:

Y= 5/2x+0

Step-by-step explanation:

find the slope and y intercept, which would be 5/2 and 0.

:))

A mother will need 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories.

Given that, a mother is choosing which baby foods to serve her infant. A jar of meat has 2g of protein and 34 calories. A jar of vegetables has 1g of protein and 17 calories. Now , we have to calculate how much she will be needed if she wants to serve 5g of protein and 120 ​calories respectively.

So, let's proceed to solve this question.

For 5g of protein she will be needed 2 jars of meat having 2g protein and 1 jar of vegetables which has 1g protein, then total protein will be equals to 5g.

5g of protein = 2 x A jar of meat + 1 x A jar of vegetables

For 120 calories, she will be needed 3 jars of meat and 1 jar of vegetable then it comes out to be 119 calories approximately equals to 120 calories.

So, 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories.

Therefore, 2 jars of meat and 1 jar of vegetable for 5g of protein and 3 jars of meat and 1 jar of vegetable for approx 120 calories is the required answer.

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Answer:

Step-by-step explanation:

The list of numbers seems to be decreasing, from biggest to smallest.

But... The 8 isn't less than 2, it should be more!

So 8 should be the circled number.

The 8 should be put before the -2, because 8 > 2

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

\(\dfrac{2x}{80}=\dfrac{27}{60}\)

\(\dfrac{x}{40}=\dfrac{9}{20}\)

Multiply both sides by 40.

\(x=\dfrac{9}{20}\times 40\)

\(x=9\times 2\)

\(x=18\)

Therefore, the value of x is 18.

The effects of various types of media on individuals and families can vary depending on several factors such as the content consumed, frequency of use, and individual circumstances.

Information and Knowledge: Media provides access to a vast amount of information and knowledge on a wide range of topics. It can enhance learning, facilitate research, and promote awareness of global issues.

Communication and Connectivity: Media platforms such as social media, messaging apps, and video conferencing enable instant communication and connectivity with others, regardless of geographical boundaries. This can foster social connections, maintain relationships, and support community engagement.

Entertainment and Recreation: Media offers a variety of entertainment options, including movies, television shows, music, and gaming. These can provide relaxation, stress relief, and opportunities for bonding within families.

Influence and Perception: Media has the power to shape opinions, influence beliefs, and impact societal norms. It can influence self-perception, body image, and ideals of success, which may have both positive and negative consequences.

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The solution to the initial value problem is y(t) = \(e^_(-t)\) * \((c_1cos(t) + c_2sin(t)) - (1/2)*t + 1/2.\)

To track down the answer for the underlying worth issue y'' + 2y' + 2y = (t - 1), with starting circumstances y(0) = 1 and y'(0) = 0, we can utilize the strategy for unsure coefficients.

In the first place, how about we track down the correlative answer for the homogeneous condition y'' + 2y' + 2y = 0. We expect an answer of the structure y_c(t) = \(e^_(rt)\), where r is a steady. Subbing this into the situation, we get the trademark condition r^2 + 2r + 2 = 0. Tackling this quadratic condition, we find the complicated form roots r1 = - 1 + I and r2 = - 1 - I.

Utilizing Euler's equation, we can change the corresponding arrangement as y_c(t) = \(e^_-t\) \((c_1cos(t) + c_2sin(t))\), where c1 and c2 are inconsistent constants.

To track down a specific arrangement, y_p(t), for the nonhomogeneous condition, we expect an answer of the structure y_p(t) = At + B. Subbing this into the situation, we get 2A + 2(At + B) = t - 1. Likening coefficients, we see as A = - 1/2 and B = 1/2.

Hence, the specific arrangement is y_p(t) = (- 1/2)t + 1/2.

The overall arrangement is given by y(t) = y_c(t) + y_p(t), which yields y(t) = \(e^_- t\)\((c_1cos(t) + c_2sin(t))\) - (1/2)t + 1/2.

To plot a diagram of the arrangement, we can pick explicit qualities for c1 and \(c_2.\) Since the underlying circumstances are y(0) = 1 and y'(0) = 0, we can substitute these qualities into the overall arrangement and tackle for \(c_1 and c_2.\)

Utilizing y(0) = 1, we get 1 = \(e^{(0)}(c_1cos(0) + c_2sin(0)) - (1/2)(0) + 1/2. This rearranges to c_1 + 1/2 = 1, which gives c_1 = 1/2.Utilizing y'(0) = 0, we get 0 = - e^{(0)}(c_1sin(0) - c_2cos(0)) - 1/2. This streamlines to - c_2 - 1/2 = 0, which gives c_2 = - 1/2.\)

Subbing these qualities back into the overall arrangement, we have y(t) = \(e^_- t\)(1/2cos(t) - 1/2sin(t)) - (1/2)t + 1/2.

Presently, we can plot the chart of this arrangement utilizing a diagramming instrument or programming over an ideal stretch to picture the way of behaving of the capability.

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Answer: A

Step-by-step explanation:

19+13x+32

13x=32-19

13x=13

x=1

Answer:

Let's call the number of boxes Maria started with:

There are 37 boxes

Step-by-step explanation:

Let's call the number of boxes Kayla started with:

Then we can write:

22

=

b

+

7

2

Where:

22

is the number of boxes Kayla has left.

(

b

+

7

)

is the number of boxes Kayla started with plus the

7

she bought

The division by

2

represents

1

2

of the total boxes Kayla had being destroyed by fire.

We can solve this by first multiplying each side of the equation by

2

to eliminate the fraction while keeping the equation balanced:

2

×

22

=

2

×

b

+

7

2

44

=

2

×

b

+

7

2

44

=

b

+

7

Now, subtract

7

from each side of the equation to solve for

b

while keeping the equation balanced:

44

−

7

=

b

+

7

−

7

37

=

b

+

0

37

=

b

b

=

37

Kayla started out with 37 boxes.

To generate a random variable X with a specific probability density function (pdf) using a computer-generated Standard Uniform variable U, we can use the inverse transform method

By following these steps, we can generate random values of X that conform to the desired pdf ƒ(x). The use of the inverse CDF ensures that the generated values are distributed according to the specified probability distribution.

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There are 13 elements of the sample space that will have a green ball.

The various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Since, when a green ball is drawn, three coins are tossed. So, sample points are  OHHH, OHHT, OHTH, and OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 9 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH, BHT, BTH, and BTT.

So, clearly, 4 sample points will be when a blue ball is drawn.

Total samples points=4+9=13

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The required answer is the double declining-balance method is $9,840.

To calculate the depreciation expense for 2020 using the double declining-balance method, we first need to determine the asset's straight-line depreciation rate. This is calculated by subtracting the residual value from the cost of the asset and dividing by the asset's useful life:

Depreciation base = $30,000 - $3,000 = $27,000
Annual depreciation expense (straight-line) = Depreciation base / Useful life = $27,000 / 5 = $5,400

Next, we need to determine the double declining-balance rate, which is twice the straight-line rate. Therefore:
Double declining-balance rate = 2 x (1 / Useful life) = 2 x (1 / 5) = 0.40 or 40%
Now we can calculate the depreciation expense for 2020:
Depreciation expense (2020) = Book value (beginning of year) x Double declining-balance rate

The book value at the beginning of 2020 would be the cost of the asset minus accumulated depreciation for the first year:
Book value (beginning of 2020) = $30,000 - ($5,400 x 1) = $24,600
As a result, depreciation increases during the initial year of possession and decreases thereafter.

Therefore:

Depreciation expense (2020) = $24,600 x 0.40 = $9,840

So the amount of depreciation expense for 2020, the second year of the asset's life,

using the double declining-balance method is $9,840.

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Answer:

An invoice is a commercial instrument that states the total amount due.

The proforma invoice is a declaration by the seller to provide products and services on a specified date and time.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

\(\huge\boxed{\sf x = -3}\)

Step-by-step explanation:

x + 2x + 3x + 4 = x + x - 8

6x + 4 = 2x - 8

6x - 2x + 4 = -8

4x + 4 = -8

4x = -8 - 4

4x = -12

x = -12/4

\(\rule[225]{225}{2}\)

Answer:

-3

Step-by-step explanation:

x+2x+3x=6x

6x+4=x+x-8

6x+4=2x-8

(bring like terms together)

6x-2x=-8-4

4x=-12

x=-12/4

x=-3

Answer:

b

Step-by-step explanation:

texas industries probably most affected most by agriculture

Answer:

7:11

Step-by-step explanation:

To find the ratio, we must find the number of toys in the second box and the total number of toys in both boxes. First, we know that there are 7 toys in the second box. So our ratio is looking like this so far: 7:___.

Next, we must find the total. The total is 4+7 because we need to find the total number of toys in both boxes, and 4+7 is 11. The ratio is 7:11. So now, we finished our ratio.

Answer:

12 and 13

Step-by-step explanation:

consider perfect squares on either side of 156

144 < 156 < 169 , then

\(\sqrt{144}\) < \(\sqrt{156}\) < \(\sqrt{169}\) , that is

12 < \(\sqrt{156}\) < 13

Answer:

○ 12 and 13

Step-by-step explanation:

If we look at the two square numbers that are smaller than and greater than 156, they are:
• 114 = 12²

• 169 = 13²

Now, we can compare the square roots of these two numbers with \(\sqrt{156}\) :

\(\sqrt{144} < \sqrt{156} < \sqrt{169}\)

⇒ \(12 < \sqrt{156} < 13\)

Therefore, the answer is 12 and 13.

Answer:

80

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is equal to 180˚

x+100=180

x=180-100=80

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3