Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2

Answer:

fourth

Step-by-step explanation:

Angle X is the inscribed angle of the two arcs that measure 122 and 64 so

\(x = \frac{1}{2} (122 + 64)\)

\(x = \frac{1}{2} (186) = 93\)

A cyclic quadrilateral states that the opposite angles add up to 180

so

\(y = 18 0 - 83 = 97\)

The correct answer is the fourth option

Let's expand both options, your friend's and yours, as shown below

Then, both equations are the same besides a constant that will not affect the zeros of the functions, as shown below

And

Both your friend and you are correct. The functions are the same with exception of a constant that multiplies the whole function (a scale factor); despite that, the zeros are the same for both functions

Answer: -2 1/3

Step-by-step explanation:

Okay

a. GCD using the prime factorization method= 1

LCM = 11 × 19 = 209

b. GCD using the prime factorization method= 2²×5 = 20

LCM =  2²×5×7×2⁴ = 2240

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

Here, we have

Given: Find the GCD and the LCM for the following numbers groups.

a. 11 and 19

11 and 19 both are prime numbers.

Now, we find GCD

GCD = 1

LCM of 11 and 19:

LCM = 11 × 19 = 209

b. 140 and 320

First, we find a factor of each number

140 = 2²×5×7

320 = 2²×2⁴×5

GCD and LCM of 140 and 320:

GCD = 2²×5 = 20

LCM =  2²×5×7×2⁴ = 2240

c. 800, 75, and 450

First, we find a factor of each number

800 = 2⁵×5²

75 = 3×5²

450 = 2×3²×5²

GCD and LCM of 800, 75, and 450 :

GCD = 5² = 25

LCM = 7200

d. 103 and 320

First, we find a factor of each number

103 = 103 ( this is the prime number)

320 = 2⁶×5

GCD and LCM of 103 and 320:

GCD = 1

LCM = 32960

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Answer:

1 min and 20 second for one page

Step-by-step explanation:

25/30 = 1 R 5

5*60 second equal 300 second

300/25 equal 20 for page.

1 min add 20 seconds equal 1 min 20 second per page.

20/16=5/4=25/20

30/25=6/5=24/20

You read at a faster rate.

---

hope it helps

Answer:

Improper fraction

Step-by-step explanation:

-36/12 is indeed an improper fraction. An improper fraction is usually a fraction where the numerator is larger than the denominator. Which in order for the fraction to be a "proper" fraction, the fraction has to have a numerator that is smaller than the denominator. Not only is this fraction an improper one, but it can also be heavily reduced (or simplified) by dividing the numerator/denominator by a common factor, which you would still have an improper fraction speaking how the numerator will still be greater than the denominator.

Hope this helps.

Answer:

Proper Fraction

Step-by-step explanation:

Answer:

4 times x + 15 = 6 times x -3

Answer:

  about 325

Step-by-step explanation:

On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.

If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.

A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

Answer:

wanna see my pokemon cards

Step-by-step explanation:

We found the value of x to be 70 using the property of adjacent angles.

Two angles are said to be adjacent if they have a common side and a common vertex and if they don't overlap.

Two non-adjacent angles are known as vertical angles if they have the same vertex. They have sides that are opposite and equal in length.

In the given figure, we can observe that:

We have two angles and they are (x - 10)° and (2x - 20)°.

These angles are adjacent. We are required to find the value of x.

Steps to find the value of x:

The sum of adjacent angles is equal to 180°. Therefore, (x - 10)° + (2x - 20)° = 180°

Simplify the above expression. By combining like terms, we get, 3x - 30 = 180

Add 30 to both sides.

We get, 3x = 210

Divide by 3 on both sides,

we get, x = 70

Therefore, the value of x is 70.

In conclusion, the given angles are adjacent and their values are (x - 10)° and (2x - 20)° respectively. We found the value of x to be 70 using the property of adjacent angles.

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The power series representation for the function f(x) = x sin(4x) can be found as follows:

Firstly, we can find the power series representation of sin(4x) using the formula for the sine function:$

$\sin x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}x^{2n+1}$$

Substitute 4x for x to obtain:$$\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}(4x)^{2n+1}

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+1}$$

Multiplying this power series by x gives:

$$x\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

Therefore, the power series representation for the function

f(x) = x sin(4x) is:$$f(x)

= x\sin 4x

= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

Therefore, the power series representation for the function f(x) = x sin(4x) is:$$f(x) = x\sin 4x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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In a Taylor series, a polynomial t3(x) refers to the third-degree Taylor polynomial of a function f(x). It is a polynomial approximation of f(x) centered at a given point x=a, and it is used to estimate the value of f(x) near x=a.

A Taylor series is a mathematical series that represents a function as an infinite sum of its derivatives evaluated at a given point. The series is centered at a point x=a, and it is used to approximate the value of the function f(x) near that point.

The third-degree Taylor polynomial, denoted as t3(x), is a polynomial approximation of the function f(x) up to the third degree. It is computed using the first three terms of the Taylor series expansion of f(x) centered at x=a. The formula for t3(x) is:

t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)*(x-a)^3/3!

Here, f'(a), f''(a), and f'''(a) are the first, second, and third derivatives of f(x) evaluated at x=a, respectively. The term (x-a)^2/2! is the second-degree term, and (x-a)^3/3! is the third-degree term.

The polynomial t3(x) provides a good approximation of f(x) near x=a, especially if f(x) is a smooth function with continuous derivatives. By adding higher-order terms, we can improve the accuracy of the approximation.  

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In a Taylor series, a polynomial t3(x) refers to the third-degree Taylor polynomial of a function f(x). It is a polynomial approximation of f(x) centered at a given point x=a, and it is used to estimate the value of f(x) near x=a.

A Taylor series is a mathematical series that represents a function as an infinite sum of its derivatives evaluated at a given point. The series is centered at a point x=a, and it is used to approximate the value of the function f(x) near that point.

The third-degree Taylor polynomial, denoted as t3(x), is a polynomial approximation of the function f(x) up to the third degree. It is computed using the first three terms of the Taylor series expansion of f(x) centered at x=a. The formula for t3(x) is:

t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)*(x-a)^3/3!

Here, f'(a), f''(a), and f'''(a) are the first, second, and third derivatives of f(x) evaluated at x=a, respectively. The term (x-a)^2/2! is the second-degree term, and (x-a)^3/3! is the third-degree term.

The polynomial t3(x) provides a good approximation of f(x) near x=a, especially if f(x) is a smooth function with continuous derivatives. By adding higher-order terms, we can improve the accuracy of the approximation.  

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Answer:

it hit the ground at 6 sec

Step-by-step explanation:

hat explain how to were itself to humans

Answer:

B

Step-by-step explanation:

1/2=20 * t

t=1/2 * 1/20

t=1/40

Brainliest pleasr

The given statement "Zeros are also called roots, x-intercepts, and solutions" is true.

Zeros, roots, x-intercepts and solutions are all the same and interchangeable terms. These terms are used to describe the value of x for which a function's value is 0. Zeros of a function are called roots because they are solutions to the equation f(x) = 0.

They are called x-intercepts because the x-axis is the line where the value of y is 0, and so the zeros occur at the points where the graph intersects the x-axis. Finally, they are called solutions because finding the zeros of a function is equivalent to solving the equation f(x) = 0. In conclusion, all these terms are synonymous with each other, meaning that they refer to the same thing, the value(s) of x for which the function's value is zero.

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Answer: 250

Step-by-step explanation:

Use equation to solve

C= 2πr

C=2π(40)

C=80π

C=80*3.14

Answer:

Step-by-step explanation:

DO IT YOUR SELF

Answer:

12 is the answer

Step-by-step explanation:

FIRST do 23 - 11 and you will find your answer

Answer:

16 rs maybe not sure sry if wrong

Answer:

The cost of an adult ticket is 7.

Step-by-step explanation:

4t + 21 = 49

    - 21 = 28

4t = 28

/4 = 7

t = 7

Answer:

She will save by borrowing from Bank B.

Step-by-step explanation:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Sample answer on edge ;)

The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

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Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

These are variables that have only magnitude.

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

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Answer:

First, we need to divide \(\frac{3}{8}\) by 6:

3/8 ÷ 6 = 1/16

That means that 1/16 meter per minute

We can also say that is 0.0625 meters per minute.

Hope this helps :)
Pls brainliest...

Answer:

2739 stickers

Step-by-step explanation:

So first, Derrick has 304 sheets of stickers and 12 stickers on each sheet. You need to find the total number of stickers he has before you do anything else. To find this out just multiply 304x12. When doing this you get 3648. Now that you have the total number of stickers you can subtract the amount he gives to his friends. Take 3648 and subtract 909 from it. When you do that you get 2739. So, Derrick has 2739 stickers left over. Make sure to add units!

Answer:

a) 3x^2+ 13x-10

3x^2+15x-2x-10

3x(X+5)-2(X+5)

(3x-2)(X+5)

The Western region has more consistent rainfall totals over a year, as its standard deviation is lower than that of the Eastern region.

A collection of data values' standard deviation quantifies how widely distributed or varied the data are. It is a statistical term that quantifies the deviation of a group of data points from its mean (average) value.

For the Eastern region:

mean = (0.1 + 1.6 + 1.6 + 3.8 + 4.1 + 4.2 + 9.2 + 6.8 + 6.1 + 6.1 + 5.6 + 4.8) / 12

= 4.2833 (rounded to four decimal places)

deviation of the first data point (0.1): deviation = 0.1 - 4.2833 = -4.1833

deviation of the second data point (1.6): deviation = 1.6 - 4.2833 = -2.6833

continue calculating the deviation for each data point

For the Western region:

mean = (0.9 + 1.2 + 2.6 + 4.2 + 4.6 + 6.0 + 9.4 + 9.4 + 8.1 + 7.5 + 7.1 + 6.7) / 12

= 5.4583 (rounded to four decimal places)

deviation of the first data point (0.9): deviation = 0.9 - 5.4583 = -4.5583

deviation of the second data point (1.2): deviation = 1.2 - 5.4583 = -4.2583

To determine which region has more consistent rainfall totals over the course of a year, we can compare the standard deviations of the rainfall data for both regions. A lower standard deviation indicates less variation in the data and thus more consistency.

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