You have a 18.96 cubic centimeter gourd that has a density of 2.23 g/ml, what is the mass of the gourd?

There is multiple names it has, like for example “Zero” and in British English it is “nought” which is often used as an archaic word for nothing, I hope this help’s.

Answer:

2

Step-by-step explanation:

Answer:

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1.

For the first blank, let's see how many numbers are in between 5 and 10. This is 5 (the numbers are 5, 7, 6, 6, 8). The second blank is 8 (the numbers are 10, 12, 10, 14, 13, 11, 12, 12), the third blank is 6 and the fourth is 1

Answer:

x^5

Step-by-step explanation

If this is dividing exponents, you just subtract the denominator from the numerator.

Answer:

$0.40

Step-by-step explanation:

4% = 0.04

10 times 0.04 = $0.40

So, sale tax is $0.40

Answer:

81

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

\(9^{2} = 81\)

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. \(\sqrt{81}=9\)

Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

3. The current price of the common stock is $40.

4. The stock price considering the company quitting business after 25 years is $46.81.

5. The stock price assuming constant dividends is $26.67.

6. The stock price assuming constant dividends and the company quitting business after 25 years is $25.88.

3. The current price of the common stock can be calculated using the dividend discount model. The formula for the stock price is P = D / (r - g), where P is the stock price, D is the dividend, r is the required return, and g is the growth rate. In this case, the dividend is $4, the required return is 15% (0.15), and the growth rate is 5% (0.05). Plugging these values into the formula, we get P = 4 / (0.15 - 0.05) = $40.

4. If the company quits business after 25 years, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / (r - g) * (1 - (1 + g)^-n), where PV is the present value, D is the dividend, r is the required return, g is the growth rate, and n is the number of years. In this case, D = $4, r = 15% (0.15), g = 5% (0.05), and n = 25. Plugging these values into the formula, we get PV = 4 / (0.15 - 0.05) * (1 - (1 + 0.05)^-25) = $46.81. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $46.81 + $0 = $46.81.

5. Assuming constant dividends, the stock price can be calculated using the formula P = D / r, where P is the stock price, D is the dividend, and r is the required return. In this case, the dividend is $4 and the required return is 15% (0.15). Plugging these values into the formula, we get P = 4 / 0.15 = $26.67.

6. If the company quits business after 25 years and assuming constant dividends, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / r * (1 - (1 + r)^-n), where PV is the present value, D is the dividend, r is the required return, and n is the number of years. In this case, D = $4, r = 15% (0.15), and n = 25. Plugging these values into the formula, we get PV = 4 / 0.15 * (1 - (1 + 0.15)^-25) = $25.88. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $25.88 + $0 = $25.88.

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Answer:

Geometric Sequence

Step-by-step explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

\(a_n = 2.4(2)^{n-1}\)

Answer:

They're multiplied by -2.

Step-by-step explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

Answer:

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

The time when the rocket will be 10 feet from the ground after when it was launched is 10.8 seconds

From the question, we are to determine how long after the rocket was launched will it be at the given height from the ground.

The given equation that represents the height of the rocket after t seconds is

h = -16t² + 170t + 40

The given height is 10 feet.

Now,

Substitute h = 10 into the equation

That is,

10 = -16t² + 170t + 40

16t² - 170t + 10 - 40 = 0

16t² - 170t - 30 = 0

Solve the quadratic equation

Using the quadratic formula,

t = [-b ±√(b² - 4ac)]/2a

a = 16, b = -170, and c = -30

t = [-(-170) ±√((-170)² - 4(16)(-30))]/2(16)

t = [170 ±√(28900 + 1920)]/32

t = [170 ±√(30820)]/32

t = [170 ± 175.556]/32

t = [170+ 175.556]/32 OR [170 - 175.556]/32

t = 345.556/32 OR -5.556/32

t ≈ 10.8 OR -0.17

Since t is time and cannot be negative, t is 10.8 seconds

Hence,

The time is 10.8 seconds

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The algebraic expression for the scenario is 15 + x = 60

From the question, we have the following parameters that can be used in our computation:

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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Answer:

10 ≤ x - 4

Step-by-step explanation:

Answer:

10 < x-4

Step-by-step explanation:

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Answer:

No

Step-by-step explanation:

These two triangles aren't similar. The left triangle angle measures are 30,60,90. The left triangle measure is 35,55,90.

The side lengths aren't proportional as well. These triangles not similar.

Answer: I'm not sure but

similar : no

similarity statement: it's not similar because the corresponding angle of the two triangle are different

scale factor : 8/4 = 2 ( so, triangle ABC is 2 times the size of triangle LMN)

Step-by-step explanation:

N 7

Part A

In a direct variation

k=y/x

take one point from the graph

(2,4)

k=4/2

Part B

In a direct variation, the equation is

y=kx

we have

k=2

therefore

The value of x from the given diagram is -10

Two triangles are known to be similar if the ratio of their similar sides is equal. The diagram shown is similar to the required diagram.

Given the following parameters

<ABC = 2x

<BAC = 3x + 10

Equate the expression since both angles are equal. Substitute;

2x = 3x + 10

Subtract 3x from both sides

2x-3x = 3x-3x+10

-x = 10

x = -10

Hence the value of x from the given diagram is -10

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Values of 12 and 13 are 76° and 63° respectively.

A polygon with three sides and three angles is triangle.It is the simplest polygon and can be classified based on its sides and angles. Triangles are used in various fields, including mathematics, engineering, architecture, and art. They are also used to represent stability, strength, and balance in symbols and logos.

Given:-∠F = 104°

Let we assume ∠12 = x

therefore,

∠12 + ∠F = 180°

x + 104 = 180°

x = 180 - 104

x = 76°

therefore , ∠12 is 76°.

now ,

∠D = 41°

Sum of all angles of triangle is 180°

so,

∠D + ∠12 + ∠13= 180°

41 + 76 + ∠E = 180

117 + ∠E = 180

∠E = 180 - 117

∠E = 63°

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The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

The measure of exterior angle is 6 is 122

Answer:

a

Step-by-step explanation:

The transformation from Figure 1 to Figure 2 is:

The transformation of 5 units to the right and 3 units down.

Option C is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A B C D E has points (-3, 5), (-2, 5), (-1, 4), (-2, 3), and (-5, 3).

A' B' C' D' E' has points (2, 2), (3, 2), (4, 1), (3, 0), and (0, 0).

Now,

A = (-3 + 5, 5 - 3) to A' = (2, 2)

B = (-2 + 5, 5 - 3) to B' = (3, 2)

C = (-1 + 5, 4 - 3) to C' = (4, 1)

D = (-2 + 5, 3 - 3) to A' = (3, 0)

E = (-5 + 5, 3 - 3) to E' = (0, 0)

We see that,

There is a translation of 5 units to the right and  3 units to the down.

Thus,

The transformation of 5 units to the right and 3 units down.

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Answer:

(-5,1) and (0,3)

in this first one the distance of x is -5 and y is 1, similarly in second x is in origin which means 0 and y is 3.....

For each given system, the frequency response, filter type, cutoff frequency, bandwidth (if applicable), and the output response to a specific input signal are analyzed.

1) The first system is a second-order system with a frequency response given by H(ω) = 2/(ω^2 - 6ω + 8), where ω represents the angular frequency. The system is a low-pass filter since it attenuates high-frequency components and passes low-frequency components. The cutoff frequency, at which the output is attenuated by 3 dB (half of its maximum value), can be found by solving ω^2 - 6ω + 8 = 1, which gives ω = 3 ± √7. Therefore, the cutoff frequency is approximately 3 + √7.

2) The second system has a similar frequency response as the first one, H(ω) = 2/(ω^2 - 6ω + 4), but without the constant input term. It is still a low-pass filter with the same cutoff frequency as the first system.

3) The third system is a second-order system with a frequency response given by H(ω) = 1/(ω^2 - 3ω + 6). This system is not explicitly classified as a low-pass or high-pass filter since its behavior depends on the input signal. The cutoff frequency can be found by solving ω^2 - 3ω + 6 = 1, which gives ω = 3 ± √2. Therefore, the cutoff frequency is approximately 3 + √2.

4) Since the given systems do not exhibit band-pass or stop-pass characteristics, the bandwidth is not applicable in this case.

5) To determine the output response to the given input signal ä(t) = 2 cos(2t+π) – sin(4t +5), the signal is multiplied by the frequency response of the respective system. The resulting output signal will be a new signal with the same frequency components as the input, but modified according to the frequency response of the system.

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Answer:

Step-by-step explanation:

(10j – 7)-(-9j + 2)

10j-7+9j-2

19j-9

Answer:

$ 24.75

Step-by-step explanation:

10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)

(27.50)(10)/100 (cross multiply)

= $2.75 (tax)

27.50 - 2.75 = $ 24.75

In networking, Response time is the measure of how long a system takes to respond to a given request. It is an important parameter that determines the quality of service (QoS) of a network system. This QoS parameter is commonly used to measure the speed of a system's performance and the effectiveness of its resources.

In this question, we are to determine the 75%, 90%, and 95% response time for each of the systems given, with zero initial conditions. Here are the solutions to the problem:

Consider a system with a transfer function given as;\($$G(s)= \frac{2}{(s+2)(s+3)}$$\)

From the transfer function above, we can evaluate the time response of the system with the use of an inverse Laplace transform.

The time response is expressed in the form of;

\($$y(t)=\frac{K_1}{s+a_1}+\frac{K_2}{s+a_2}$$\)

Where K1 and K2 are constants, a1, and a2 are the poles of the transfer function.

Therefore, we can obtain the values of K1 and K2 by partial fractions.

\($$\frac{2}{(s+2)(s+3)}=\frac{K_1}{s+2}+\frac{K_2}{s+3}$$\)

To obtain the value of K1 and K2, we solve for the constant.

\($$2=K_1(s+3)+K_2(s+2)$$\)

At s= -2, we obtain \($$K_1=-\frac{2}{3}$$\)

At s= -3, we obtain\($$K_2=\frac{2}{3}$$\)

Thus the transfer function of the system is;

\($$y(t)=\frac{-2}{3}e^{-2t}+\frac{2}{3}e^{-3t}$$\)

From the time response of the system, we can find the response time for 75%, 90%, and 95% of the system.

The response time for a percentage is obtained using the expression;

\($$T_p=\frac{1}{a}ln\frac{100}{100-p}$$\)

Where Tp is the response time for a given percentage p, a is the dominant pole of the system.  

For 75% response time, \($$T_{75}=\frac{1}{3}ln\frac{100}{25}=0.4621s$$\)

For 90% response time, \($$T_{90}=\frac{1}{3}ln\frac{100}{10}=1.0986s$$\)

For 95% response time, \($$T_{95}=\frac{1}{3}ln\frac{100}{5}=1.6094s$$\)

Therefore, the 75%, 90%, and 95% response times for the given system are 0.4621s, 1.0986s, and 1.6094s respectively.

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Answer:

\(611\:\text{ft}\)

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. In this angle marked as \(42^{\circ}\) is actually the same as the angle with point \(P\).

Therefore, we can set up the following equation:

\(\tan 42^{\circ}=\frac{550}{x}\), where \(x\) is the distance from the coast.

Solving, we get:

\(x=\frac{550}{\tan 42^{\circ}},\\x\approx610.84\approx \boxed{611\:\text{ft}}\)

The baseball team can bring 11 players to the tournament based on their budget.

An equation is an expression that shows the relationship between two or more numbers and variables. An equation is a mathematical statement that represents the equality of two things.

It is made up of two expressions, one on each side of the equal to symbol. An equation, in other words, is a statement that the values of two mathematical expressions are equal.

Let x represent the number of players the team can bring to the tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals, hence:

24.75x + 856.5 = 1128.75

x = 11

The baseball team can bring 11 players to the tournament based on their budget.

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Answer:

Are you doing monarch?

If so I do too!