Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.

Answer:

24 x 2.5 = 60...

Step-by-step explanation:

sorry if this is wrong...

have a good day

Answer:

It's true - all whole numbers that are odd are going to add up to an even integer. An odd integer can be looked at as an even number plus one. For example, 21 would be 20 (the even number) plus one. So the addition of two odd integers is like saying two even numbers were added to each other (in that example, 20 + 20), and then adding the 1+1 that made them odd (which adds up to 2, an even number). So it would be [20 + 20 + (1 + 1)]

Answer:

Part A: the parabola opens upwards

Part B: \(x=\frac{3}{2}\)

Part C: The vertex point is \((\frac{3}{2},-\frac{1}{2})\)

Part D: \(y=4\)

Part E: \(x_{1}=1\) and \(x_{2}=2\)

Step-by-step explanation:

We have the function:

\(f(x)=2x^{2}-6x+4\)

Where the coefficients are:

a = 2

b = -6

c = 4

Part A:

Here we can see that the leading coefficient of our parabola (a = 2) is positive, so by the definition, the parabola opens upwards.    

Part B:

The axis of the symmetry equation is given by:

\(x=\frac{-b}{2a}\)

\(x=\frac{-(-6)}{2(2)}\)

\(x=\frac{6}{4}\)

\(x=\frac{3}{2}\)

Part C:

The vertex is the minimum point of our parabola.

Using the x value founded in Part B we can find f(x)=y.

\(y=2(3/2)^{2}-6(3/2)+4\)

\(y=2(9/4)-6(3/2)+4\)

\(y=(9/2)-3(3)+4\)

\(y=(9/2)-9+4\)

\(y=-\frac{1}{2}\)

Therefore, the vertex point is \((\frac{3}{2},-\frac{1}{2})\)

Part D:

To get the y-intercept we just need to do x = 0.

\(y=2(0)^{2}-6(0)+4\)

\(y=4\)

The y-intercept is (0,4)

Part E:

To get the x-intercept we just need to do y = 0.

\(0=2x^{2}-6x+4\)

\(2(x-2)(x-1)=0\)

\(x_{1}=1\)

\(x_{2}=2\)

The x-intercept is (1,0) and (2,0)

I hope it helps you!

Answer:

Volume of the cylinder is 588π cm³ Or 1846.32 cm³

Step-by-step explanation:

Area of a cylinder is given by the formula,

Volume = πr²h

Here, r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

Radius of the given cylinder = 7 cm

Height of the cylinder = 12 cm

By substituting these values in the formula,

Volume of the cylinder = π(7)²(12)

                                      = 588π cm³

                                      ≈ 1846.32 cm³

Therefore, volume of the cylinder is 588π cm³ Or 1846.32 cm³.

Answer:

7

Step-by-step explanation:

its 7 im pretty sure because every ton is 2000 pounds.

meaning 14000÷2000= 7

Answer:

7 tons

Step-by-step explanation:

the answer is 7 tons beacause 200 pounds =1 ton

7× 2 = 14.

The function has an inverse that is also a function is g(x)=2x-3

A function that can turn into another function is known as an inverse function or anti function. In other terms, the inverse of a function "f" will take y to x if any function "f" takes x to y. The inverse function is designated by f⁻¹ or F⁻¹ if the function is written by f or F. Here, (-1) should not be confused with an exponent or an inverse.

A function takes in values, applies specific procedures to them, and produces an output. The inverse function works, agrees with the outcome, and returns to the initial function.

The solution in which x and y have been reversed is known as an inverse function.

The vertical line test determines whether a function succeeds or fails when you solve for y once more.

1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;

\(y=\frac{x-3}{2}\)

This is a line and is a function;

\(y=\frac{x}{2} +\frac{1}{2}\)

2. k(x) = -9x² has the inverse x = -9y² which simplifies to;

\(y=\sqrt{x/(-9)}\)

This is a function but only for certain values of x.

3. f(x) = |x+2| is an absolute value function.

Not all absolute value functions have function-based inverses.

4. A function's inverse does not exist for the equation w(x) = -20.

The function therefore has a negative that is also a function, which is

g(x)= 2x – 3.

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the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees.

We can use the law of cosines to find d:

d² = 12² + (h + 12)² - 2(12)(h + 12)cos(θ)

Since the plane is climbing at an angle of 30 degrees, we can use trigonometry to find h:

sin(30) = h / (25 km/min * 2 min)

h = 25 km/min

Now we can substitute this value of h into the equation for d and simplify:

d² = 12² + (25 + 12)² - 2(12)(25 + 12)cos(θ)

d² = 12² + 37² - 2(12)(37)cos(θ)

d² = 144 + 1369 - 888cos(θ)

d² = 1513 - 888cos(θ)

To find the rate at which d is changing, we can take the derivative of both sides of this equation with respect to time:

2dd/dt = -888(d(cos(θ))/dt)

Since the plane is flying with a constant speed of 25 km/min, we can use trigonometry to find d(cos(θ))/dt:

cos(θ) = 12/d

d(cos(θ))/dt = -(12/d²)(dd/dt)

d(cos(θ))/dt = -(12/d²)(25 km/min)

Now we can substitute these values into the equation for the rate of change of d:

2dd/dt = -888(-(12/d²)(25 km/min))

2dd/dt = (888*12)/(d²)(25 km/min)

dd/dt = (5328)/(d²) km/min

Finally, we can substitute the value we found for d into this equation to get the rate at which d is changing 2 minutes later:

d = sqrt(1513 - 888cos(θ))

θ = 30 degrees

dd/dt = (5328)/(d²) km/min

dd/dt = (5328)/(1513 - 888cos(30)) km/min

dd/dt ≈ 30.84 km/min

Therefore, the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

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Answer:

458210 in binary

10001111001102

To convert decimal number 4582 to binary, follow these steps:

Divide 4582 by 2 keeping notice of the quotient and the remainder.

Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get binary equivalent of decimal number 4582.

Using the above steps, here is the work involved in the solution for converting 4582 to binary number:

4582 / 2 = 2291 with remainder 0

2291 / 2 = 1145 with remainder 1

1145 / 2 = 572 with remainder 1

572 / 2 = 286 with remainder 0

286 / 2 = 143 with remainder 0

143 / 2 = 71 with remainder 1

71 / 2 = 35 with remainder 1

35 / 2 = 17 with remainder 1

17 / 2 = 8 with remainder 1

8 / 2 = 4 with remainder 0

4 / 2 = 2 with remainder 0

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The decimal number 4582 converted to binary is therefore equal to : 

1000111100110

Answer:

10 x squared minus 4 y + 2 x squared minus y

Step-by-step explanation:

9x^2-2y+3x^2-3y

Collect like terms

9x^2+3x^2-2y-3y

=12x^2-5y

10 x squared minus 4 y + 2 x squared minus y

10x^2-4y+2x^2-y

Collect like terms

10x^2+2x^2-4y-y

=12x^2-5y

9x^2-2y+3x^2-3y is equivalent to

10x^2-4y+2x^2-y

Check all the options

6 x squared minus y + 6 x squared minus 5 y

6x^2-y+6x2-5y

12x^2-6y

6 x squared minus y + 3 x squared minus 4 y

6x^2-y+3x^2-4y

9x^2-5y

10 x squared minus 4 y + 2 x squared minus y

10x^2-4y+2x^2-y

12x^2-5y

11 x squared + 2 y + x squared minus 3 y

11x^2+2y+x^2-3y

12x^2-y

Answer:

C.) 12x squared- 2y- 3y

Step-by-step explanation:

i'm not 100 percent on this but it is the only logical answer, i will comment if i am right or not :) good luck luvs

Answer:

0.6°

Step-by-step explanation:

The sum of exterior angles in a polygon is always equal to 360 degrees. For all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

360/600=0.6

The given problem is concerned with hypothesis testing. The researcher believes that women today weigh less than in previous years. To investigate this belief, she randomly samples 41 adult women and records their weights. The obtained value of the appropriate statistic for testing H0 is t= -2.42.

Given that,

Population mean µ = 115 lbs

Sample mean x = 111 lbs

Sample size n = 41

Standard deviation σ = 12.4 lbs

hypothesis testing

Null hypothesis H0: µ = 115 lbs

Alternate hypothesis H1: µ < 115 lbs

Since the population standard deviation is unknown and the sample size is less than 30, we use a t-distribution to test the hypothesis. The formula for the t-test statistic is,

t= (x- µ)/(s/√n)

Where, x = sample mean, µ = population mean, s = sample standard deviation, and n = sample size

Substituting the given values in the above formula, we get,

t= (111 - 115) / (12.4/ √41)t= -4 / 1.93t= -2.07

The obtained value of the appropriate statistic for testing H0 is t= -2.07.

The calculated t-value is compared with the critical value of t with degrees of freedom (df) = n-1 = 41-1 = 40 at the desired significance level. If the calculated t-value is less than the critical value of t, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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Answer: x=13/L

Step-by-step explanation:

Find the exact value using trigonometric identities.

Answer:

The ratio of female-to-male is 1:2

Step-by-step explanation:

There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.

Answer:

6 in

Step-by-step explanation:

The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

let the third side of the triangle be x , then

\(\frac{9}{x}\) = \(\frac{6}{4}\) ( cross- multiply )

6x = 36 ( divide both sides by 6 )

x = 6

The third side of the triangle is 6 in

The choices that are equivalent to the expression i√4  are A and C.

This is a Complex Number problem and should be approach as such.

The expression √-4 can be simplified as follows:

√-4 = √(4*(-1)) = √4 * √(-1) = 2i  which is A

Also, i√4 is equivalent to i*2 = 2i, which is the same as option (A)

Therefore, the choice that is equivalent to the expression √-4 is (A) 2i and (C) i√4

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The equivalent expressions to the given expression are: 2i (letter A) and

i√ 4 (letter C).

A complex number is represented by the following form: a+bi, where a and b are real numbers.  The variables: a is the real part and bi imaginary part. See an example: 5 + 2i , then: 5 represents the real part and  2i represents the imaginary part.

Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1, consequently \(\sqrt{-1} =i\). Thus, 2i² = 2*(-1)= -2.

Algebraic expressions are considered equivalent when they are equal.

Thus, to solve this question, you should convert the given expression into a complex number.

\(\sqrt{-4} =\sqrt{4}*\sqrt{-1}\)= 2*i=2i

The option that is equal to the result found are:

- letter A = 2i;

- letter B= \(i\sqrt{4}\)=i*2=2i

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Answer:

45726.82

Step-by-step explanation:

Yes

The area of a parallelogram is 45726.82 square units.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

Given that, b= 202.6 units and h= 225.7 units

We know that, the area of a parallelogram is Base×Height

= 202.6×225.7

= 45726.82 square units

Therefore, the area of a parallelogram is 45726.82 square units.

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Answer: 2,385

Step-by-step explanation:

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

a) 20 m/s²

b) 0

Step-by-step explanation:

average acceleration is, Vₙ - vₓ / Δt

where, Vₙ stands for final velocity,

Vₓ stands for initial velocity, and

Δt stands for change in time

according to the question,

for t₂, s = 2³ - 2² - 2 - 2 = 8 - 4 - 4 = 0

for t₄, s = 4³ - 4² - 4 - 2 = 64 - 16 - 8 = 64 - 24 = 40

substituting the values in the formulae,

average acceleration = 40 - 0 / 4 - 2 = 40/2 = 20 m/s²

when the velocity is 0 it indicates that acceleration will also be 0

A - The Average Acceleration Between:

T  =  2  and   T  =  4  is   16 m/s^2

B - The Acceleration When the Velocity is: Zero (0)   is  0 m/s^2  at  

      T = 1/3  and 4 m/s^2  at   T  = 1

        s(t)  =  t^3  - t^2  - t  -  2

        v(t) = d/dt(t^3  - t^2 - t - 2 )  = 3t^2  - 2t  -  1

        a(t) = d/dt(3t^2  - 2t  -  1 )  =  6t - 2

        a(2)  =  6(2) - 2 = 10

        a(4) = 6(4) - 2 = 22

        =  a(2) + a(4)/2  

        =   10 + 22/2

        =   16

        3t^2  -  2t  -  1   =  0

        t  =  1/3,  1

       a(1/3)  =  6(1/3)  -  2  =  0

       a(1)   =   6(1)     -  2   =  4  

A - The Average Acceleration Between T  =  2  and   T  =  4  is  16 m/s^2

B - The Acceleration When the Velocity is Zero (0)   is  0 m/s^2  at  

      T = 1/3  and 4 m/s^2  at   T  = 1

I hope this helps you!

Answer:

x = 12

Step-by-step explanation:

sqrt(x+4) - 3 = 1

First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.

sqrt(x+4) = 1 + 3

sqrt(x+4) = 4

To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.

(sqrt(x+4))^2 = 4^2

x + 4 = 16

subtract 4 to finish up.

x = 12

Check:

sqrt(12 + 4) - 3 = 1

sqrt16 - 3 = 1

4 - 3 = 1

1 = 1 Check!

Answer:

there is the answers❤ sorry its a little blurry

If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.

To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.

From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.

Now that we know the length and width, we can find the area by multiplying them together:

A = L x W = 11 x 12 = 132 square feet

Therefore, the correct answer is C.

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Answer    C. 132 fT2  

Step-by-step explanation:

The acute angles are 54,36  and the larger angle is 54 .

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of the three angles is always 180 degrees.

sin(x+9) = cos(2x)

2x+ x+9 = 90

3x =90-9 = 81

x = 81/3 = 27

x+9 = 27 + 9 = 36

2x = 27*2 = 54

sin36= 0.58

cos54 = 0.58

the two acute angles are 54 and 36 degrees

The larger angle = 2x = 2* 27 = 54

Hence, The acute angles are 54,36  and the larger angle is 54 .

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Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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Answer:

There are 6

Step-by-step explanation:

There are two within each circle.

Answer: 18.84 radians

Step-by-step explanation:

Answer:25

Step-by-step explanation:

Answer:

c i think

Step-by-step explanation: