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Answer & Step-by-step explanation:

2. Total income = Income from first r rows + Income from other last rows  

[(Price per first r rows' seat ) x (no of first r rows) x (no of seats per first r row) ] + [ (Price per other last rows' seat ) x (no of last rows) x (no of seats per last row) ]

= [ 20 x (r) x (no of seats per first r row) ] + [ 15 x (other last ie 'total - r' rows) x no of seats per last row

3. 20 x 16 x (no of seats per first r row) = 320 x (no of seats per first r row)

4. 15 x (other last ie 'total - 16' rows) x no of seats per last row

Since we're talking about dimensions, the only solution that makes sense in the context of the problem is W1, because we cannot have negative measurements.

Answer:

Step-by-step explanation:

(x + 6)/2 = -3

x + 6 = -6

x = -12

(y - 2)/2 = 0

y - 2 = 0

y = 2

(-12, 2)

Answer:

98 inches

Step-by-step explanation:

30 millimeters is 1.18 inches, multiply it by 83 to get 2500 millimeters, Then you get 98

Answer:

The person above me is correct. Therefore you should make him/her brainlyest.

Step-by-step explanation:

i taking the quiz rn

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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we have

2(4z - 2) = 44

Solve for z

that means

isolate the variable z

step 1

apply distributive property left side

8z-4=44

step 2

Adds 4 both sides

8z-4+4=44+4

simplify

8z=48

step 3

Divide by 8 both sides

8z/8=48/8

Answer:

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is   and    .

Step-by-step explanation:

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒   .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒   .......(2)

3(2)-(1) i.e.

⇒

⇒

⇒

So ,  

⇒  

⇒  

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  and    .

System of equations which can be used to find the price in dollars of each large candle x and each small candle y is;

3x + 4y = 64

x + 8y = 68

Here we have,

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. Price of each large candles are same and price of small candles are same for both customers.

What is system of equation?

A system of equations is a set of two or more equations with the same variables.

Now,

Let the price in dollar of each large candle = x

and, the price in dollar of each small candle = y

A customer at a store paid $64 for 3 large candles and 4 small candles.

So equation is;

⇒3 x + 4 y = 64 ----(i)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

So equation is;

⇒ x + 8y = 68 ------(ii)

3 (ii) - (i) ⇒

20 y = 140

    y = 7

And,  x = 12

Hence, System of equations which can be used to find the price in dollars of each large candle x and each small candle y is;

3x + 4y = 64

x + 8y = 68

And, price in dollars of each large candle is 12 and price in dollars of each small candles is 7.

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The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Answer:

2x+8

Step-by-step explanation:

I actually did the math

Answer:

it might be −2⋅(x+1)⋅(x−2)

Step-by-step explanation:

(1): "x2"   was replaced by   "x^2".

(6 - 7x) -  2x2) +  9x) -  2

Pull out like factors :

-2x2 + 2x + 4  =   -2 • (x2 - x - 2)

Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  1

                    x2 - 2x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-2)

            Which is the desired factorization

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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The probability that at least one missile will fire is 1 because the probability that none of the missiles will fire is 0. Therefore, the answer is (d) 30/30.

The complement of "at least 1 missile will fire" is "none of the missiles will fire." So we can find the probability of this happening, and then subtract it from 1 to get the probability that at least 1 missile will fire.

The probability that the first missile selected will not fire is 3/10.

Since the missile is not replaced after being fired, the probability that the second missile selected will not fire is 2/9 (since there are only 9 missiles left in the lot).

Similarly, the probability that the third missile selected will not fire is 1/8.

Finally, the probability that the fourth missile selected will not fire is 0/7 (since there is only 1 missile left in the lot).

Therefore, the probability that none of the missiles will fire is:

(3/10) * (2/9) * (1/8) * (0/7) = 0

So the probability that at least 1 missile will fire is:

1 - 0 = 1

Therefore, the answer is (d) 30/30.

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The words savage and savory are neither similar nor contradictory.

Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.

Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.

On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.

Hence the terms savage and savory are neither similar nor contradictory words.

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The interval of convergence for the power series is the set of all values of x for which the series converges. The table mentioned in your question likely shows the values of x for which the series converges or diverges.

The interval of convergence for a power series is determined by finding the values of x for which the series converges absolutely. The convergence or divergence of a power series can be determined using various tests, such as the ratio test or the root test.
Once the interval of convergence is found, it can be summarized as a range of values for x. For example, if the interval of convergence is (-3, 5], then the series converges for all values of x between -3 and 5, inclusive.

Hence, the interval of convergence for a power series is the set of all values of x for which the series converges, and it can be determined by finding the values of x for which the series converges absolutely.

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The final dilution in the multiple dilution series can be calculated by multiplying the individual dilution factors. In this case, the dilution factors are 1/4, 1/2, 1/5, and 1/10. To find the final dilution, we multiply these factors:

1/4 * 1/2 * 1/5 * 1/10 = 1/400

Therefore, the final dilution is 1/400.

The dilution factor represents the ratio of the final volume to the initial volume. In this case, since the sample was diluted 1/4, 1/2, 1/5, and 1/10 in successive steps, the dilution factor would be the product of these individual dilutions:

1/4 * 1/2 * 1/5 * 1/10 = 1/400

Hence, the dilution factor for this multiple dilution series is 1/400.

If the original concentration of the sample was 100, and the dilution factor for tube 3 is 1/5, we can calculate the concentration in tube 3 by multiplying the original concentration by the reciprocal of the dilution factor:

Concentration in tube 3 = 100 * (1 / 1/5) = 100 * 5 = 500

Therefore, the concentration in tube 3 would be 500 if the original concentration was 100.

To find the dilution factor for tube 2, we need to consider the dilutions performed up to that point. As per the given dilution series, tube 2 is diluted 1/4 and tube 3 is diluted 1/5. To calculate the overall dilution factor for tube 2, we multiply these two dilution factors:

1/4 * 1/5 = 1/20

Hence, the dilution factor for tube 2 is 1/20.

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Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answers:

Domain = {-1, 2, 1, 8, 9}

Range = {2, 51, 3, 22}

==================================

Explanation:

The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.

The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.

Side notes:

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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The number of students in the 720 students that will buy is 450

The ratio is given as:

Ratio = 5 in 8 students

The total number of students is

Students = 720

So, we have:

Students in the ratio = 5/8 * 720

Evaluate the product

Students in the ratio = 450

Hence, the number of students in the 720 students that will buy is 450

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Answer:

n = 37/3

n = 12  1/3

Step-by-step explanation:

Hi there !

3n - 7 = 30

3n = 30 + 7

3n = 37

n = 37/3

n = 12  1/3

Good luck !

The velocity of the jeans in ft/min when spun in the dryer at 500 revolutions per minute is approximately 4712.39 ft/min (rounded to two decimal places).

Part A: To find the velocity of the jeans in ft/min when spun in the dryer at 500 revolutions per minute.

Part B: The velocity of an object in circular motion can be calculated using the formula v = 2πrω, where v is the velocity, r is the radius, and ω is the angular velocity.

Given that the radius of the dryer is 1.5 ft and the dryer spins at 500 revolutions per minute, we need to convert the angular velocity from revolutions per minute to radians per minute. Since 1 revolution is equal to 2π radians, the angular velocity can be calculated as ω = 500 × 2π radians/minute.

Now, we can substitute the values into the formula to find the velocity:

v = 2π × 1.5 ft × (500 × 2π radians/minute)

Simplifying the equation, we get:

v = 1500π² ft/minute. Therefore, The velocity of the jeans in ft/min when spun in the dryer at 500 revolutions per minute is approximately 4712.39 ft/min (rounded to two decimal places).

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Answer:

C

Step-by-step explanation:

Option c gives the actual representation of the question

Answer: this is simplist form but put it as a fractoin 7 1/2

Step-by-step explanation:

We have shown that g is bounded on [a, b] (part a) and g is integrable (part d).

To prove the statements given, we will follow the following steps:

(a) Prove that g is bounded on [a, b]:
Since f is integrable on [a, b], it is bounded on [a, b] as well. Let's say M is an upper bound for |f| on [a, b]. Since g(x) = f(x) for all x ∈ [a, b]\{c}, we can conclude that g(x) is also bounded by M on [a, b] (except possibly at x = c). Therefore, g is bounded on [a, b].

(b) Expression for xi in terms of i:
The partition Pn divides the interval [a, b] into n subintervals of equal length. So, the width of each subinterval is Δx = (b - a) / n. The values of xi can be expressed as:
xi = a + i * Δx

\((c) Proof of ∣UPn(g) - UPn(f)∣ ≤ (n/4M)(b - a) and ∣LPn(g) - LPn(f)∣ ≤ (n/4M)(b - a):Let's consider the upper sums first.UPn(g) - UPn(f) can be expressed as:UPn(g) - UPn(f) = Σ[ i=1 to n ] (Mg(xi) - Mf(xi)) * Δx\)

Since g(x) is bounded by M on [a, b], we can say that |g(x)| ≤ M for all x ∈ [a, b]. Similarly, |f(x)| ≤ M for all x ∈ [a, b]. Therefore, |Mg(xi) - Mf(xi)| ≤ 2M for all i.

Thus, we have:
\(UPn(g) - UPn(f) = Σ[ i=1 to n ] (Mg(xi) - Mf(xi)) * Δx ≤ Σ[ i=1 to n ] 2M * ΔxUPn(g) - UPn(f) ≤ 2M * n * ΔxUPn(g) - UPn(f) ≤ 2M * n * (b - a) / nUPn(g) - UPn(f) ≤ 2M * (b - a)\)

Dividing both sides by 2 and rearranging the terms, we get:
∣UPn(g) - UPn(f)∣ ≤ (n/2M)(b - a)

Since M > 0, we can conclude that (n/2M) ≤ (n/4M), so:
∣UPn(g) - UPn(f)∣ ≤ (n/4M)(b - a)

A similar proof can be done for the lower sums to show that:
∣LPn(g) - LPn(f)∣ ≤ (n/4M)(b - a)

(d) Showing g is integrable:
To show that g is integrable, we need to show that the upper and lower integrals of g on [a, b] are equal. From part (c), we have:
\(∣UPn(g) - UPn(f)∣ ≤ (n/4M)(b - a)∣LPn(g) - LPn(f)∣ ≤ (n/4M)(b - a)\\\)
As n approaches infinity (as the mesh size of the partition approaches 0), both the upper and lower sums approach the integral of the function. Therefore, taking the limit as n tends to infinity, we have:
lim(n→∞) ∣UPn(g) - UPn

(f)∣ ≤ (lim(n→∞) n/4M)(b - a)
lim(n→∞) ∣LPn(g) - LPn(f)∣ ≤ (lim(n→∞) n/4M)(b - a)

Since M is a constant, lim(n→∞) n/4M = 0. Therefore, we can conclude that:
lim(n→∞) ∣UPn(g) - UPn(f)∣ = 0
lim(n→∞) ∣LPn(g) - LPn(f)∣ = 0

This implies that the upper and lower integrals of g on [a, b] are equal. Hence, g is integrable on [a, b].

Therefore, we have shown that g is bounded on [a, b] (part a) and g is integrable (part d).

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Answer:

12896

Step-by-step explanation:

First you add the ones, then the tens, then the hundreds and then the thousands to get the answer!  

Answer:

12896

Step-by-step explanation:

  5437

+ 6992

 12429

+     125

  12554

+     342

  12896

To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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