a concert venue sells 16% of its tickets as reserved seats. an upcoming concert sells 8,000 tickets. How many are reserved
need this done asap! will give brainliest:)

For options b and d, a proof by contraposition is a better approach than a direct approach.

The proofs by contraposition and direct approach are both valid methods for proving statements. However, for some statements, one approach may be more efficient or straightforward than the other.

For the given statements, a proof by contraposition would be a better approach for (a) and (d).

(a) If n is odd, then n^3 + 1 is even. To prove this statement directly, we would need to show that for every odd n, n^3 + 1 is even. This can be quite challenging, as there are infinitely many odd numbers to consider. However, if we take the contrapositive of the statement, we get: If n^3 + 1 is odd, then n is even. This is much easier to prove directly, as there are only two possibilities for the parity of n^3 + 1.

(d) If 3n + 2 is odd, then n is odd. To prove this statement directly, we would need to show that for every even n, 3n + 2 is even. Again, this can be challenging to do for all even n. However, if we take the contrapositive of the statement, we get: If n is even, then 3n + 2 is even. This is straightforward to prove directly, as we can simply factor out 2 from the expression 3n + 2.

For (b) and (c), a direct approach would be more appropriate.

(b) Prove that if 1/x is irrational, then x is irrational. This statement is already in a direct form, so there is no need to use contraposition.

(c) If a is odd and b is odd, then ab is odd. To prove this statement by contraposition, we would need to show that if ab is even, then either a or b is even. This may be more challenging than simply proving the statement directly, by showing that the product of two odd numbers is odd.

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Answer:

300 - 5t means that Ann pays $300 - 5 times the number of guests she brings to the gym.

when t = 5, it equals $275

when t = 10, it equals $250

when t = 15, it equals $225

when t = 20, it equals $200

Step-by-step explanation:

After the deposit of $ 65.00 on 09/ 02 /06 the balance in her account would be :

\( \hookrightarrow ( \$920 + \$65) = \$985\)

The value of balance will be : -

\( \hookrightarrow ( \$920 + \$65) = \$985\)

Answer:

1. x=22  2. x= 28

Step-by-step explanation:

1. The total of angles in a triangle add up to 180˚.

93+65= 158

180-158=22

This means that x = 22

2. Angles on a straight line add up to 180.

180-125=55

180-83=97

55+97=152

180-152=28

This means that x = 28

Hope that this helps you.

Answer:Steve age will be 15 y.o

Step-by-step explanation:

Answer:

Hello!

Your answer is 240!

Step-by-step explanation:

You need to factorise these numbers:

15 : 3 x 5

40 : 2 x 2 x 2 x 5 (2^3 x 5)

16 : 2 x 2 x 2 x 2 (2^4)

NOW...

We just collect the common factors (the factors that can be paired up with another of the same value)

ANSWER: 2^4 x 3 x 5

ANSWER: 240

I HOPE THIS HELPS!!

Answer:

1. $30.50

2. 20+1.75x

Step-by-step explanation:

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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In mathematics, a radical is a number or expression that represents the principal value of the square root, cube root, or any other higher-order root of a given number or expression.

sin(30) = opposite/hypotenuse

so, the length of the opposite side = sin(30) * hypotenuse

The hypotenuse is the side opposite the right angle, and has a length of 16 units, so we can substitute this into the equation:

sin(30) = opposite/16

To find the length of the opposite side, we can multiply both sides of the equation by 16:

opposite = (sin(30))*16

opposite = 8

So the length of the other side of the triangle is 8 units.

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The two reasonable estimates for 1270 - 3, with an error margin of 10, are 1257 and 1267.

The first estimate, 1257, is obtained by subtracting 10 from the given value of 1270. This assumes that the subtraction of 3 is closer to the lower bound of the error margin, resulting in a smaller difference.

The second estimate, 1267, is obtained by subtracting 3 from the midpoint of the error margin, which is 1270. This assumes an equal distribution of the error, resulting in a slightly larger difference.

These estimates provide reasonable approximations for 1270 - 3, allowing for a small margin of error.

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The value of the given expression, 67π × 7, is 1473.4

From the question, we are to determine the value of the given expression.

From the given information,

The given expression is

67π × 7

To determine the value of the expression, we will evaluate the expression step-wisely.

Evaluate 67π

67π = 210.4867

Multiply by 7

210.4867 × 7

= 1473.4069

≈ 1473.4

Hence, the value is 1473.4

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Answer:

a

Step-by-step explanation:

add equations in order to slove for the first variable. plug this value into other equations in order to solve for the remaining variables

Answer:

(-1/2,5) is the answer

The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.

The formula for calculating present value is:

PV = FV / (1 + r)^n

Where:

PV = Present Value

FV = Future Value

r = Interest Rate

n = Number of years

Rearranging the formula to solve for 'n' (number of years):

n = log(FV / PV) / log(1 + r)

Plugging in the given values:

PV = $210,018

FV = $520,000

r = 12% or 0.12

n = log(520,000 / 210,018) / log(1 + 0.12)

Using a calculator, we can find the approximate value of 'n':

n ≈ 7.2 years

Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.

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Answer:

No, Badal cannot pour all the water into the vase.

The volume of the rectangular vase is:

4 cm x 4 cm x 5 cm = 80 cm³

Since the vase can hold 80 cm³ of water, and Badal has 120 cm of water, he cannot pour all the water into the vase at once. He would need to find a larger container to hold all the water.

Step-by-step explanation:

Answer:

No, Badal cannot pour all the water into the vase because the volume of water he has (120 cm^3) is greater than the volume of the vase.

The volume of the vase is given by multiplying its height, width, and length:

Volume of the vase = height x width x length

= 4 cm x 4 cm x 5 cm

= 80 cm^3

Since the volume of the vase is 80 cm^3 and the amount of water Badal has is 120 cm^3, the vase cannot hold all the water. Badal will need to use a larger vase or pour the water in multiple batches to fit all the water.

Step-by-step explanation:

c = 4 times h

Linear equation: 1.5c + 2h = 360

Hello!

Your answer should be..

c=4h     ( as there are 4 hours )

1.5c+2h=360

c is 1.50 and h is 2.00 so you must add them to reach 360

Hope this helps! :)

From the question, the sum of each of the geometric sequence are;

1)  31 3/4

2) 340

3) 11/16

4) -6, 12, -24

We have that;

Sn = a(1 -\(r^n\))/1 - r

Sn = 16(1 \(- (1/2)^7\))1 - 1/2

Sn = 16(1 - 1/128)/1/2

Sn = 16(127/128) * 2

Sn = 31 3/4

2) Un = a\(r^n\) -1

256 = \(4(4)^n-1\)

64 =\(4^n-1\)

\(4^3 = 4^n-1\)

n = 4

Sn= \(4(4^4 - 1)\)/4 - 1

Sn = 340

3) Since we have a5 then n = 5

Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)

Sn = 33/32 * 2/3

= 11/16

4) 30= a(1 -\((-2)^4\))/1 - (-2)

30 = a(-15)/3

30 = -5a

a = 30/-5

a = -6

Then the first three terms are;

-6, 12, -24

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Answer:

4x^18

Step-by-step explanation:

The square root of 16 is 4; the square root of x^36 is x^18.

Thus, the square root of 16x^36 is 4x^18

Answer:

I think it is

24.6

Answer:

Step-by-step explanation:

\(x\times(x+ 28) = 20\times (20+32)\\\\x^2+28x-1040=0\\\\\ x=\dfrac{-28\pm\sqrt{28^2-4\cdot1\cdot(-1040)}}{2\cdot1}= \dfrac{-28\pm\sqrt{4944}}{2}\\\\x\approx21.2\quad or\quad x\approx-49.2\)

x has to be >0 so the answer is 21.2

Answer:

The circumference of Bob's new wheel is 81.7 inches

Step-by-step explanation:

Circumference of a circle

The circumference of a circle of radius r is given by:

\(C=2\pi r\)

The radius is half the diameter:

r = d / 2 = 26 / 2 = 13

r = 13 inch

Now calculate the circumference:

\(C=2\cdot\pi\cdot 13\)

Calculating:

\(C=81.7\ inch\)

The circumference of Bob's new wheel is 81.7 inches

Answer:

The slope is 1/3 and the y intercept is 6

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

3y -x =18

Add x to each side

3y = x+18

Divide each side by 3

3y/3 = x/3 +18/3

y = 1/3x +6

The slope is 1/3 and the y intercept is 6

We need to solve for y (y = mx + b):

3y - x = 18

~Add x to both sides

3y = 18 + x

~Divide 3 to everything

y = 6 + x/3 or y = 6 + 1/3/x

So... 1/3 is the slope and 6 is the y-intercept.

Best of Luck!

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

we have to see the value of y on x=-2

which is 2

so g(-2)=2

Matching the calculated correlations to the corresponding scatter plots:

1. R = 0.49: This correlation indicates a moderately positive relationship between the variables. In the scatter plot, we would expect to see data points that roughly follow an upward trend, with some variability around the trend line.

2. R = -0.48: This correlation indicates a moderately negative relationship between the variables. The scatter plot would show data points that roughly follow a downward trend, with some variability around the trend line.

3. R = -0.03: This correlation indicates a very weak or negligible relationship between the variables. In the scatter plot, we would expect to see data points scattered randomly without any noticeable pattern or trend.

4. R = -0.85: This correlation indicates a strong negative relationship between the variables. The scatter plot would show data points that closely follow a downward trend, with less variability around the trend line compared to the case of a moderate negative correlation.

It's important to note that without actually visualizing the scatter plots, it is not possible to definitively match the calculated correlations to the scatter plots. The above descriptions are based on the general expectations for different correlation values.

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Answer:

The percent increase = 100%

Step-by-step explanation:

We need to determine the percentage increase.

Using the formula

% increase = 100% × (final - initial)/ initial

                   =  100% × (4 - 2)/2

                   =  100% × 2/2

                   = 100% × 1

                   = 100%

Thus, the percent increase = 100%

Answer:

$0.216 and $0.293

Step-by-step explanation:

Given,

Price club sells 12 ounce box = $2.59

Shop mart sells a 1 pound box = $ 4.68.

We have to find the unit price at Price club and Shop mart.

We know that 1 Pound = 16 ounce

Unit price at Price-club = \(\dfrac{2.59}{12}\)

                                      = $0.216

Unit price at Shop Mart= \(\dfrac{4.68}{16}\)

                                      = $0.293

because I got this question too. On odysse.yware.

Answer:

0.21 and 0.19

Step-by-step explanation:

It's simple, just divide it.

Divide 2.59 by 12 and divide 4.68. Then round the answers to the closest number in the choices. That's your answer buddy!

Answer:

For two linear equations : a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0;

To determine if two such straight lines are parallel, then you should check for the following conditions :

a₁/a₂ = b₁/b₂ ≠ c₁/c₂ , where a,b are coefficients of x and y for each line.

if this condition is true for the coefficients of x,y, and the intercept of lines (c₁ and c₂) then they are parallel.

for instance,

let's say we have two lines :

x + 2y - 4 = 0,

2x + 4y - 12 = 0;

Now to check if they are parallel you simply check if the condition for parallel lines is met or not.

for these two lines :

a₁ = 1 , b₁ = 2, and c₁ = -4;

a₂ = 2, b₂ = 4, and c₂ = -12;

evaluating the values in the condition we have :

\(\frac{1}{2}\) = \(\frac{2}{4}\) ≠\(\frac{-4}{-12}\) ;

since the condition for parallel is true for these two lines, we can conclude they are parallel.

The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.

a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.

b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.

Using Euler's method with two steps of equal size, we can approximate f(1) as follows:

f(0.5) = f(0) + (1/2)dy/dx|t=0

= 8 - (1/2)(1/6)*8

= 7.333...

f(1) = f(0.5) + (1/2)dy/dx|t=0.5

= 7.333... - (1/2)(7.333.../8)*(6-7.333...)

= 6.636...

Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.

c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.

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Answer: 115 swords

Step-by-step explanation:

He forged 32 swords from copper, 2*32 from iron and 19 from mythril.  Thus, he forged 32+(32*2)+19, or 32+64+19, or 115 swords.

Hope it helps <3

Answer:

110

Step-by-step explanation:

no need