what is result of 54 x 18 in standard form

The volume of the given triangular prism is 192 cubic centimeters.

To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism. In this case, the base of the triangle has a length of 12 cm and an altitude of 8 cm. Thus, the area of the base can be found using the formula for the area of a triangle, which is (1/2) x base x height.

Area of base triangle = (1/2) x 12 cm x 8 cm = 48 cm²

The height of the prism is given as 4 cm. Therefore, we can now find the volume of the prism by multiplying the area of the base by the height of the prism.

Volume of triangular prism = area of base x height of prism = 48 cm² x 4 cm = 192 cm³

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Complete Question:

Find the volume of the solid. Round to the nearest tenth, if necessary. triangular prism: base of triangle 12 cm, altitude of triangle 8 cm, height of prism 4 cm

The range of the function k(x)=(x+1)² is {1, 4, 9, 16, 25}.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are k(x)=(x+1)² and n(x)=(x-1)².

We know that, domain is set of x-coordinates and range is set of y-coordinates.

Substitute x=0,1, 2, 3, 4, 5,...in the function k(x)=(x+1)².

y=1, 4, 9, 16, 25

So, the range ={1, 4, 9, 16, 25}

Substitute x=0,1, 2, 3, 4, 5,...in the function n(x)=(x-1)².

y=1, 0, 1, 4, 9, 16

So, the range ={1, 0, 1, 4, 9, 16}

Therefore, the range of the function k(x)=(x+1)² is {1, 4, 9, 16, 25}.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

\((-8,-5)\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Rule for a 90 degree Rotation Clockwise:}}\\\\(x,y)\rightarrow (y,-x)\)

⸻⸻⸻⸻

\(\rightarrow (5,-8) \rightarrow \boxed{(-8, -5)}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The weather that is most likely to occur where Richard is is rain shower.

Weather is the state of the atmosphere of a particular place over a short period of time. There is low atmospheric pressure, so it is likely that it would rain. This is because when the  atmospheric pressure is low, it is likely that it would rain.

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Answer:

Rain shower is most likely to occur where Richard is. (Option c)

• The air pressure is lower than the normal and that's why it suggests that the rainfall will happen in that place because rainfall generally occurs in the place where the low pressure is formed.

• And,the temperature is above than the freezing point of the water so there are no chances of the snowfall in that place.

• That's why rainfall is the most probable thing that will happen in that place.

Step-by-step explanation:

Answer:

1.) angles 1 and 4.   angles 5 and 8.

2.) angles 1 and 5. angles 3 and 7. angles 2 and 6. angles 4 and 8.

3.) angles 1 and 3. angles 5 and 7. angles 2 and 4. angles 6 and 8.

Step-by-step explanation:

Math

The value of x that satisfies the system of equations is 3. Option B

From the information given, we have the simultaneous equation given as;

x+2y=11

4x-y=8

Make 'x' the subject from equation 1, we have that;

x = 11 - 2y

Now, substitute the value into equation 2, we get;

4(11-2y) - y = 8

expand the bracket, we get;

44 - 8y -y = 8

add the like terms, we have;

-9y = -36

Make 'y' the subject

y = 4

Substitute the value, we have;

x = 11 - 2y

x = 11  - 2(4)

expand

x = 3

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

A is the equation representing proportional relationship .

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

If the y intercept is anything but 0, then the linear function is not proportional. So C is not proportional (2 is the y intercept)

B is a quadratic and it will not give proportional results. y/x is not a constant.

D has no x value and is not going to give a proportional result. y/x is undefined.

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The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.

]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.

In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.

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the answer is the last 2. the 3rd one are both equal to -72 and the last one they both equals to 0.75.

xx10Step-by-step explanation:

Find the volume of a square pyramid where the base has a side length of 10 units and a height of 12 units.​

Right square pyramid

Solve for volume

V=(sXsXh)/3

V=(10X10X12)/3

V=(10X10X4)

V=400 cubic units

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

Answer:

1) 31.41593

2) 26.38938

Step-by-step explanation:

Circumference = 2πr

2 · π · 5 ≈ 31.41593

2 · π · 4.2 ≈ 26.38938

Thank you for posting this question! If you feel it's fit, please mark Brainliest! If you have any other questions, let me know :)

Answer:  How many hours did Jacob work in his second week if he earned $117?​

Step-by-step explanation:

We can start by setting up a proportion to relate the number of hours worked to the amount earned:

hours worked / amount earned = constant of proportionality

Let's call the constant of proportionality "k". Then we have:

15 / 146.26 = k

Solving for k, we get:

k = 9.75

Now we can use this value of k to find the number of hours Jacob worked in his second week:

117 / 9.75 = 12

Therefore, Jacob worked 12 hours in his second week if he earned $117.

{Hope This Helped! :)}

When 60 of your favorite songs are purchased from a website for $0.97 apiece, the total cost comes to $58.80.

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)

given

This straightforward real-world issue can be resolved by by multiplying the number of tracks by the $0.98 per song price.

60 x 0.98 = $ 58.80

When 60 of your favorite songs are purchased from a website for $0.97 apiece, the total cost comes to $58.80.

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Answer:

a=12

Step-by-step explanation:

(2a-1)+(6a-5)=90

First, we can simplify the left side by combining the two like terms (2a and 6a) and the two constant terms (-1 and -5):

8a - 6 = 90

Next, we can add 6 to both sides to isolate the variable term on one side of the equation:

8a = 96

Finally, we can divide both sides by 8 to solve for a:

a = 12

Therefore, the solution is a = 12.

*IG: whis.sama_ent*

Answer:

a = 12

Step-by-step explanation:

Angle (2a-1) and angle (6a-5) are complementary angles.

Complementary angles sum 90°

Then;

(2a-1) + (6a-5) = 90

2a + 6a -1 - 5 = 90

8a - 6 = 90

8a = 90 + 6

8a = 96

a = 96/8

a = 12

Check:

(2*12 - 1) + (6*12-5) = 90

24 - 1 + 72 - 5 = 90

(a) The conditions for inference are satisfied because the sample is random, the sample size is large enough (n=83), and the population of customers is much larger than the sample size.

(b) Null hypothesis (H0): The average savings for customers switching to the advertised car insurance is $435 (µ = $435).

(c) Alternative hypothesis (H1): The average savings for customers switching to the advertised car insurance is less than $435 (µ < $435).

(d) To calculate the p-value, first find the test statistic (z-score):
z = (sample mean - null hypothesis mean) / (standard deviation / √n)
z = ($399 - $435) / ($103 / √83) ≈ -3.46

Using a z-table, the p-value is approximately 0.0003.

(e) If the test was conducted at the 95% level (α = 0.05), the p-value (0.0003) is less than α, so we reject the null hypothesis.

(f) Based on the hypothesis test, I agree with the market researcher that the advertised savings of $435 is an overestimate since we rejected the null hypothesis in favor of the alternative hypothesis.

(g) To calculate a 90% confidence interval:
Margin of error = z * (standard deviation / √n)
Margin of error = 1.645 * ($103 / √83) ≈ $18.56

Confidence interval = (sample mean - margin of error, sample mean + margin of error)
Confidence interval = ($399 - $18.56, $399 + $18.56) ≈ ($380.44, $417.56)

(h) The results from the hypothesis test and confidence interval agree. The hypothesis test rejected the null hypothesis, suggesting the average savings is less than $435. The 90% confidence interval supports this, as the entire interval is below the advertised $435 savings.

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The value of x that satisfies the given conditions is approximately 7.

Given that KLMN is similar to PQRS. This means that the corresponding sides of these two angles are proportional. We can use this property to set up a proportion between the sides of the two angles.

Let LM and RQ be corresponding sides in the two triangles, and let KN and SP be the other corresponding sides. Then we have:

LM/RQ = KN/SP

Substituting the given values, we get:

(4x + 4)/48 = (7x - 9)/60

To solve for x, we cross-multiply, which gives us:

(4x + 4) * 60 = (7x - 9) * 48

Expanding both sides, we get:

336x - 432 = 240x + 240

Simplifying and solving for x, we get:

96x = 672

x = 7

Therefore, the value of x that satisfies the given conditions is approximately 7.

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Answer: 30 miles per hour

Step-by-step explanation:

Speed = distance / time

= 300 / 10

= 30 miles per hour

Matrix:[0 -1 0] [6 7 -4] [0 0 1]. Expand down the third column or across the third row. Performing the appropriate expansions and simplifying the expressions to obtain the characteristic polynomials of each matrix.

To find the characteristic polynomial of a matrix, we need to calculate the determinant of the matrix minus λ times the identity matrix, where λ is the variable representing the eigenvalues. We can use expansion across a row or down a column to simplify the calculation.

Let's go through the steps for each matrix:

Matrix:

[1 0 -1]

[9 2 3]

[1 0 3]

Expand across the first row:

det(A - λI) = (1-λ)(2-λ)(3-λ) - 0 + 9(0-λ) - 0 + λ(-2) + 0 - (1-λ)(3-λ)(0-λ)

= (1-λ)(2-λ)(3-λ) + 9λ - 2λ - (1-λ)(3-λ)(0-λ)

= (1-λ)(2-λ)(3-λ) + 7λ - (1-λ)(3-λ)(0-λ)

= (1-λ)(2-λ)(3-λ) + 7λ + (1-λ)(3-λ)λ

= (1-λ)(2-λ)(3-λ) + 7λ + (1-λ)(3λ-λ^2)

Simplify and combine like terms:

= (1-λ)(2-λ)(3-λ) + 7λ + (1-λ)(3λ-λ^2)

= (1-λ)(2-λ)(3-λ) + 7λ + (3λ-λ^2-3λ^2+λ^3)

= (1-λ)(2-λ)(3-λ) + 7λ + (λ^3-6λ^2+10λ)

Expand further and combine like terms if necessary.

Matrix:

[6 0 2]

[0 4 6]

[1 0 1]

Expand down the first column:

det(A - λI) = 6(4-λ)(1-λ) - 0 + 0 - (1-λ)(6-λ)

= 24 - 10λ + 2λ^2 - 6 + 7λ - λ^2

= -λ^2 + 9λ + 18

Matrix:

[1 2 0]

[4 0 0]

[0 1 2]

Expand across the second row or down the second column.

Matrix:

[4 0 0]

[0 6 -2]

[0 3 3]

Expand across the first row or down the first column.

Matrix:

[-2 9 0]

[ 5 8 3]

[ 3 -2 3]

Expand across the first row or down the first column.

Matrix:

[0 -1 0]

[6 7 -4]

[0 0 1]

Expand down the third column or across the third row.

Perform the appropriate expansions and simplify the expressions to obtain the characteristic polynomials of each matrix.

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Answer:

A. The net present value (NPV) of this investment is approximately $7,115 when rounded to the nearest dollar.

B. The net present value is positive, which means that the investment is expected to generate more cash inflows than its initial cost. Therefore, I would recommend that Ham and Egg invest in this oven. The positive NPV indicates that the investment should provide a return above the required rate of return of 5%.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

A. Compute the net present value of this investment. Round your present value factor to three decimal places and your final answer to the nearest dollar. The net present value of the investment can be determined using the formula: NPV = PV of cash inflows - PV of cash outflowswherePV = Present ValueNPV = Net Present ValueWe can determine the PV of cash inflows for the first 8 years using the formula: PV = FV/(1+r)n where FV = Future Value = $9,920n = Number of years = 8r = Required rate of return = 5%We can use the Present Value of an Annuity table to determine the present value factor for 8 years at a 5% discount rate. The factor is 6.71008. Using this, we can calculate the present value of cash inflows as: PV of cash inflows = $9,920 x 6.71008= $66,806.22The PV of cash outflows is simply the cost of the oven, which is $57,000.NPV = $66,806.22 - $57,000 = $9,806.22Rounding this to the nearest dollar, we get the net present value of the investment as $9,806.B. Determine whether or not you would recommend that Ham and Egg invest in this oven.Since the NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven. The NPV of the investment is positive, investing in the new oven would add value to the business. Therefore, it is recommended that the Ham and Egg invest in this oven.

Therefore NPV of the investment is positive, investing in the new oven would add value to the business.  it is recommended that the Ham and Egg invest in this oven.

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Answer:

AB = 10

BC = 28

Step-by-step explanation:

                                          3y - 2

                         A  -------------->>----------------  B

                           /                                     /

                         /                                     /

    2x - 4          /                                     /      x + 12

                      ^                                     ^

                     /                                     /

             D   --------------->>----------------   C

                          y + 6

Opposite sides of a parallelogram are congruent.

AB = CD

3y - 2 = y + 6

2y = 8

y = 4

BC = AD

x + 12 = 2x - 4

-x = -16

x = 16

AB = 3y - -2

AB = 3(4) - 2

AB = 10

BC = x + 12

BC = 16 + 12

BC = 28

Answer:

Step-by-step explanation:

Given parallelogram ABCD with these side lengths, you want the measures of segments AB and BC.

Opposite sides of a parallelogram are the same length. This lets us solve for x and y.

  3y -2 = y +6

  2y = 8 . . . . . . . . . add 2-y

  y = 4 . . . . . . . . . divide by 2

  AB = 3(4) -2 . . . find AB

  AB = 10

  x +12 = 2x -4

  16 = x . . . . . . . . add 4-x

  BC = 16 +12

  BC = 28

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Answer:

Step-by-step explanation:

The solutions of the system of equations: a = 1, b = 12, and c = -17

A quadratic equation is a mathematical expression of the second degree, in which the highest power of the variable is 2.

Substituting y in the second equation with -5x+6 from the first equation, we get:

-5x + 6 = x² + 7x - 11

Rearranging the terms, we get:

x² + 12x - 17 = 0

Therefore, the quadratic equation that could be solved to find any solutions to the system of equations is:

x² + 12x - 17 = 0

Compare with general quadratic equation ax² + bx + c = 0

where, a = 1, b = 12, and c = -17

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Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Answer:

slope(m)= -3

Step-by-step explanation:

When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

What is statistical validity?

Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.

It can also be the statistics which are derived from the research works or studies.

What is frequency in statistics?

Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.

For a given set of data the frequency can either be 0 or more than that.

Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.

What is margin of error estimate?

The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.

The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the  interval.

Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

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