A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

A regular pentagonal prism is shown. The apothem of each pentagon is 2.8 centimeters. The height of the prism is (2 x + 1). All sides of the pentagon are congruent.

Which expression represents the volume of the prism, in cubic centimeters?
9x2 + 7x
14x2 + 7x
16x2 + 14x
28x2 + 14x

Given:

300 km square.

To convert square km to square feet.

So, 300 square km will be,

Answer:

The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

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Answer:

Step-by-step explanation:

the answer in standard form is 2c^4+6c^2-c

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

Answer:

183661939573002745832863730

Answer:

1/3

Step-by-step explanation:

The most important thing to remember is that the poster is divided into three equal parts and 1 part of it is for his neighborhood friends and another one part of it is for his friends from school. The denominator would be three and the numerator would be the 1 part he uses for his friends from school.

Answer:

Answer:

= 1.044

Step-by-step explanation:

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

Answer:

0.36 x 2.9 = 1.044

Step-by-step explanation:

The number of ounces that can be found in the container will be 20.5 ounces.

Based on the information given, we are informed that there are 11. 5 ounces of cereal in a container and an additional cereal is poured into the container at a rate of 2.25 ounces per second.

Therefore, the number of ounces after 4 seconds will be:

= 11.5 + 2.25(4)

= 11.5 + 9.

= 20.5

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Answer:

y = \(\frac{5}{4} x - 7\)

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)

y = \(\frac{5}{4}x -7\)

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

the slope of the line on the graph is 3 .

Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.

to find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .

the points i m choosing is (-2,0) and (-1,3)

now for finding the slope we will use the formula

m = (y2-y1)/(x2-x1)

m = (3 - 0 ) / (-1+2)

m = 3 / 1

m = 3

so the slope of the line on the graph is 3 .

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

The number of combinations you have is 36.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

First consider the pizza we can buy with two group of specifics.

You can get the pizza on thin crust, traditional crust, or deep-dish.

The toppings you have to choose from are pepperoni, sausage, onions, mushrooms, peppers, and extra cheese.

Each of the crusts, thin crust, traditional crust and deep dish can be topped with 6 toppings

Number of combinations from these two = 6 × 3 = 18

Each of these options have two options,  whether to pick it up or have it delivered.

Total number of combinations = 18 × 2 = 36

Hence you have 36 combinations to choose from.

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Answer:

the time taken by Mrs Brown to catch up is 18.75 hours

Step-by-step explanation:

Given;

average speed of Mr Brown = 75 mph

average speed of Mrs Brown, = 85 mph

time first traveled by Mr Brown = 2.5 hours

The distance traveled by Mr Brown before Mrs Brown start her own Journey;

D = speed  x time

D = 75 mph x 2.5 h

D = 187.5 miles

Let the time taken by Mrs Brown to catch up = t

(85 - 75)t = 187.5

10t = 187.5

t = 18.75 hours

Check:

after 18.75 hours:  Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles

after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles

Answer: 54%

Step-by-step explanation:

The relative frequency of landing on heads is 0.54 or 54%.

Given that Jamie tossed a coin 50 times.
Head showed for 27 times.

Tails showed for 23 times.

We need to find the relative frequency of landing on heads,

The relative frequency of an event is calculated by dividing the number of times the event occurred by the total number of trials or occurrences.

In this case, Jamie tossed a coin 50 times, and it landed on heads 27 times.

To find the relative frequency of landing on heads, we divide the number of times the coin landed on heads (27) by the total number of tosses (50):

Relative Frequency of landing on heads = Number of heads / Total number of tosses

Relative Frequency of landing on heads = 27 / 50

Simplifying this fraction, we get:

Relative Frequency of landing on heads = 0.54

This means that, based on the given data, the coin landed on heads approximately 54% of the time in the 50 tosses performed by Jamie.

Therefore, the relative frequency of landing on heads is 0.54 or 54%.

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Answer:

Step-by-step explanation:

To write a fraction as a decimal, you need to divide the numerator by the denominator.

Answer:

cos o=base /hypotenuse=EF/DF

c.is your answer

The coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

The coordinates of the triangle in the figure are

P = (-5, -3)

K = (-3, -1)

Y = (-1, -4)

The transformation is given as 180 degrees rotation

The rule of this transformation is

(x, y) = (-x, -y)

When this is applied on the triangle, we have the coordinates of the new triangle to be

P' = (5, 3)

K' = (3, 1)

Y' = (1, 4)

Hence, the coordinates of the new triangle are P' = (5, 3), K' = (3, 1) and Y' = (1, 4)

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The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

i cant give you an exact answer but look up the formula for trapezoid and look up the formula for triangle and you will get your answer.

Answer:  Area 89m^2

Step-by-step explanation:

To find the area of the rectangle we multiply

Base * Height = Area

8 * 13 = 104

Now we find the area that isn't shaded

I inference that the base of the triangle is 5m  

5 * 6 = 30

Now divide that by 2

30/2 = 15

Subtract 15 from 104

104 - 15 = 89m^2

Answer:

As the number of pegs added increases, the number of moves required decreases.

The extra pegs allow for more places to move disks, reducing the number of intermediate stacking steps.

An example would be three disks with four pegs. This requires 5 moves to solve, instead of 7.

Step-by-step explanation:

Answer:

As the number of pegs added increases, the number of moves required decreases.

The extra pegs allow for more places to move disks, reducing the number of intermediate stacking steps.

An example would be three disks with four pegs. This requires 5 moves to solve, instead of 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

0<1/5<1/2

So it is possible but unlikely

C. Unlikely

Answer:

the person above is right

Step-by-step explanation:

the answer is unlikely

Answer:

C. \(-n - 2\)

Step-by-step explanation:

Given expression is \(3n+2(-2n-1)\)

Now we need to simplify \(3n+2(-2n-1)\)  to create an equivalent expression then match with correct choice from the given choices:

A. \(-n + 2\)

B. \(n + 2\)

C. \(-n - 2\)

D. \(n - 2\)

\(3n+2(-2n-1)\)

\(=3n+2(-2n-1)\)

\(=3n+-4n-2\)

\(=-n-2\)

Hence correct choice is C. \(\bold{-n - 2}\)

Answer:

19 - (8) * (10) + 4 + 8² = 178​

Given that the salesperson sells insurance policies to 2 out of 40 customers, we can determine the probability using the binomial distribution formula.

The probability of a salesperson selling a car to exactly three out of the next three customers can be calculated using binomial probability.

To calculate the probability, we use the binomial distribution formula: P(X = k) = C(n, k) * \(p^k * (1 - p)^{n - k}\), where P(X = k) is the probability of selling exactly k cars, n is the number of trials (in this case, 3 customers), p is the probability of selling a car to a single customer (2/40), and C(n, k) is the binomial coefficient.

For this scenario, we need to find the probability of selling exactly 3 cars out of the next 3 customers. Substituting the values into the formula, we have P(X = 3) = C(3, 3) *\((2/40)^3 * (1 - 2/40)^{3 - 3}\). Since C(3, 3) equals 1, the calculation becomes 1 * \((2/40)^3 * (1 - 2/40)^{3 - 3}\).

Simplifying further, we have P(X = 3) = \((2/40)^3 * (1 - 2/40)^0\). Evaluating the equation, we get P(X = 3) = (\(1/20)^3 * (1 - 1/20)^0\) = (1/8000) * 1 = 1/8000.

Therefore, the probability that the salesperson will sell a car to exactly three out of the next three customers is 1/8000.

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Answer:

Yes and no (YES: can be a triangle, but NOT a right angle triangle)

Step-by-step explanation:

Notice 8^2+11^2=185

while 17^2=289

Notice Pythagoras do apply for every right triangle. since 185 is not 289. is not a right triangle. But it can be a triangle (just not a right angle triangle)

Answer:

2109 meter squared

Step-by-step explanation:

\(Area \: of \: path \\ = (400+3)(300+3)-400 \times 300 \\ = 403 \times 303 - 120000 \\ = 122,109 - 120000 \\ = 2109 \: {m}^{2} \)

As a simple example, suppose a = 10.24 and b = 0.0002. Then

a = 10.24 = 1024 × 0.01 = 1024 × 10⁻²

b = 0.0002 = 2 × 0.0001 = 2 × 10⁻⁴

All we've done is rewrite a and b as products of an integer and a power of 10.

Now, divide a by b :

a/b = (1024 × 10⁻²) / (2 × 10⁻⁴)

a/b = (1024/2) × (10⁻²/10⁻⁴)

so we've essentially made this into an exercise of integer division, with an extra step of keeping track of powers of 10.

a/b = 512 × (10⁻²⁺⁴)

a/b = 512 × 10²

a/b = 51,200

Another example:

a = 1.23 = 123 × 10⁻²

b = 24.6 = 246 × 10⁻¹

a/b = (123 × 10⁻²) / (246 × 10⁻¹)

a/b = 123/246 × 10⁻²⁺¹

a/b = 0.5 × 10⁻¹

a/b = 0.005