1 3/4= x/32 solve for x

Answer:

Congressman Smith will defeat Challenger Jones

Step-by-step explanation:

Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:

(44% - 3%) ≤ Jones ≤ (44% + 3%)

41% ≤ Jones ≤ 47%

(54% - 3%) ≤ Smith ≤ (54% + 3%)

51% ≤ Smith ≤ 57%

This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .

Answer:

1380

Step-by-step explanation:

60(15) = 900

2280 - 900 = 1,380

Step-by-step explanation:

Uh, uh, uh, uh

Day and night (what, what)

I toss and turn, I keep stressing my mind, mind (what, what)

I look for peace but see I don't attain (what, what)

What I need for keeps this silly game we play, play

Now look at this (what, what)

Madness to magnet keeps attracting me, me (what, what)

I try to run but see I'm not that fast (what, what)

I think I'm first but surely finish last, last

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

Hold the phone (what, what)

The lonely stoner, Mr. Solo Dolo (what, what)

He's on the move can't seem to shake the shade (what, what)

Within his dreams he see's the life he made, made

The pain is deep (what, what)

A silent sleeper you won't hear a peep, peep (what, what)

The girl he wants don't seem to want him to (what, what)

It seems the feelings that she had are through, through

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone through the day and night

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone, some things will never change (never change)

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

The area of the contact paper required to cover the entire tabletop is 12.25 square feet.

Jamie has a tabletop that he wants to cover with contact paper. The length, width, and height of the tabletop are 3.5 feet, 3.5 feet, and 0.25 feet, respectively. We need to calculate the area of the contact paper required to cover the entire tabletop.

Let the area of the tabletop be represented by the variable "A". We need to calculate the area of only the top surface of the table. The table is rectangular in shape. The area of the tabletop must be the product of the length and the width of the table.

A = 3.5×3.5

A = 12.25

Hence, the area of the tabletop is 12.25 square feet.

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Formula:

Shape =  Cone

Radius (R) =  1

Height (H) = 4

Formula of surface area (cone) = A=πr(r+h2+r2)

How to find a surface area of a cone?

Using the formula of the cone (A=πrl+πr2) We add the formula so the radius and the height (l=r2+h2). Since we are solving for a our formula will end up looking like (A=πr(r+h2+r2)=π·1·(1+42+12)≈16.09471). Which will equal our answer which is 16.09471. Round to the nearest tenth will be 16.09.

Answer: 16.09

Hope this helps.

Answer:

16.09

Step-by-step explanation:

16.09

\(5x - 4 = 21\)

\( = > 5x = 21 + 4\)

\( = > 5x = 25\)

\( = > x = \frac{21}{5} \)

\( = > x = 5\)

Hence, value of x is 5

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are \(\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}\).

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

\(x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}\)

Plug in the values and simplify:

\(x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}\)

Therefore, the values of x are \(\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}\).

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(a) The game tree for n = 4 cards can be represented as follows:

markdown

       Alice

      /  |  |  \

     1   3  4   5

    /     |     \

  Bob     |     Dave

  / \     |     / \

 3   4    5    1   3

b here is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.

In this game tree, each level represents a player's turn, starting with Alice at the top. The numbers on the edges represent the cards played by each player. At each level, the player has multiple choices depending on the available cards. The game tree branches out as each player makes their move, and the game continues until all cards have been played or no valid moves are left.

(b) To prove the bijection between the set of valid games for n cards and a subset of subgraphs of K4.n, we can associate each player's move in the game with an edge in the bipartite graph. Let's consider a specific example with n = 4.

In the game, each player chooses a card from their hand that hasn't been played before. We can represent this choice by connecting the corresponding vertices of the bipartite graph. For example, if Alice plays card 2, we draw an edge between the vertex representing Alice and the vertex representing card 2. Similarly, Bob's move connects his vertex to the chosen card, and so on.

By following this process for each player's move, we create a subgraph of K4.n that represents a valid game. The set of all possible valid games for n cards corresponds to a subset of subgraphs of K4.n.

Therefore, there is a bijection between the set of valid games for n cards and a particular subset of subgraphs of K4.n.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

3,300

Step-by-step explanation:

2,640/4= 660

2,640+660= 3,300

Answer:

3,300

Step-by-step explanation:

$2640 ÷ 4 tires = $660 per tire

$660 X 5 tires = $3,300

The corresponding row in the S-box substitution table is 1, the corresponding column is 13, the corresponding 4-bit output for S1 is 3, and after applying the initial permutation (IP), the block will look like 0000000000000100000000000000000100000000000000000101000000010000, and applying the \(IP^{-1}\) transformation will result in the block 0000100000000000100000000000000000000000000000000001010000000000.

1. For the six-bit value 011010 in the DES S-box:

- The corresponding row in the S-box substitution table is the binary value formed by the first and last bits: row 01.

- The corresponding column in the S-box substitution table is the binary value formed by the middle four bits: column 1101.

- The corresponding four-bit output (in decimal) for S1 is 11.

2. After applying the initial permutation (IP) to the 64-bit DES block:

- The state will look like: 0000000000000000000000000000000000000000000000000000000000000000.

3. Regarding the L0 and R0 halves of the state:

- L0 = 00000000000000000000000000000000.

- R0 = 00000000000000000000000000000000.

4. After applying the expansion box to R0:

- E(R0) = 000000000000000000000000000000000000000000000000.

5. The result of XORing the subkey with E(R0):

- k1 ⊕ E(R0) = 000000000000000000000000000000000000000000000000.

6. Applying the S-box transformation:

- S(k1 ⊕ E(R0)) = 0000.

7. Applying the permutation box (P) to complete the function f:

- f(R0) = P(S(k1 ⊕ E(R0))) = 0000000000000000.

8. The state of DES going into the next round:

- L1 = R0 = 0000000000000000.

- R1 = L0 ⊕ f(R0) = 0000000000000000 ⊕ 0000000000000000 = 0000000000000000.

9. For the two 6-bit numbers x1 = 010111 and x2 = 111110 in S1:

- S1(x1) = 10 (in decimal).

- S1(x2) = 01 (in decimal).

- S1(x1 ⊕ x2) = S1(101001) = 00 (in decimal).

- S1(x1) ⊕ S1(x2) = 10 ⊕ 01 = 11 (in decimal).

10. After the initial permutation (IP) is applied to the 64-bit DES block:

- The block will look like: 0000100000000000100000000000000000000000000000000001010000000000.

11. If we apply the inverse initial permutation (IP^-1) to the above block:

- The result will be: 0000000000010000000000010000000000000000000000001010000001000000.

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Answer:

4.00

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

area of parallelogram = b*h

= 27*11

=297 ft^2

1 can = 40 ft^2

? = 297

cans = 8 cans

Answer:

x=NEGATIVE 1/2, POSITIVE 2

Step-by-step explanation:

Just use math.waycom

The non-negative zero of the function f(x) is x = 2.

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

For a given function f(x), the "zeros" of the function are the values of x such that:

f(x) = 0

In this case, we have the function:

f(x) = 6*x^2 - 9*x - 6

If we want to find the zeros of this function, we need to solve:

f(x) = 0 =  6*x^2 - 9*x - 6

To solve this, we can use the Bhaskara's formula, which says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The zeros are:

x = -b ±√b² - 4ac / 2a

In this case our equation is:

0 =  6*x^2 - 9*x - 6

then, in the above notation, we have:

a = 6

b = -9

c = -6

Replacing these in our general formula, we get:

x = 9±15 /12

Then we have two zeros:

x = (9 + 15)/12 = 24/12 = 2

x = (9 - 15)/12 = -6/12 = -1/2

But we want only the non-negative, so we can discard the second one.

Concluding, the non-negative zero of the function f(x) is x = 2.

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Answer:

$928

Step-by-step explanation:

23200/100 = 232

232 * 4 = 928

9514 1404 393

Answer:

  3) ? = 21

  4) ? = 6

Step-by-step explanation:

3) The given ratio is ...

  A : B = 2 : 7

You want to find ? such that ...

  2 : 7 = 6 : ?

The ratio is equivalent when both numbers are multiplied by the same value.

From your knowledge of multiplication tables, you know that 2×3 = 6. then 7×3 = ? = 21.

__

4) For this one, you need to recognize that the given number corresponds to B.

  A : B = 2 : 3

  2 : 3 = ? : 9

Again, you know that 3×3 = 9, so 3×2 = ? = 6.

Answer:

zero

Step-by-step explanation:

This nonlinear system of equations has 0 solutions.

A system of nonlinear equations is a system of two or more equations in two or more variables containing at least one equation that is not linear. Recall that a linear equation can take the form Ax+By+C=0. Any equation that cannot be written in this form is nonlinear.

An equation in which the maximum degree of a term is 2 or more than two is called a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, this is the example of nonlinear equations, because equation 1 has the highest degree of 2 and the second equation has variables x and y.

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The domain of f(x) is (-∞, ∞) and the domain of g(x) is (-∞, ∞).

To find the domain of a function, we need to identify all the values of x for which the function is defined or exists.

In this question, we need to find the domains of two function\(f(x) = x^3 - 2x^2\) and\(g(x) = 5x^2 - 2.\)

Let's look at each function separately. \(f(x) = x^3 - 2x^2\)

To find the domain of this function, we need to identify all the values of x for which the function is defined or exists.

Since x³ and x² are defined for all values of x, we only need to look at the denominator, which is not present in this function.

Therefore, the domain of f(x) is all real numbers, or (-∞, ∞) in interval notation. g(x) = 5x² - 2:

To find the domain of this function, we need to identify all the values of x for which the function is defined or exists.

Since x² is defined for all values of x, we only need to look at the denominator, which is not present in this function.

Therefore, the domain of g(x) is all real numbers, or (-∞, ∞) in interval notation.

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Answer:

9

Step-by-step explanation:

(5)3-6(5)+4(3)2

(15-30)+4(3)2

-15+ 24

=9

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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You would need a sample size of at least 138.32 to obtain a 90% confidence interval with a margin of error of plus or minus 3.

To determine whether the credit scores have decreased since 2019, we need to compare the 2019 average credit score of 749 with the lower bound of the 2022 confidence interval of 730.343. Since 730.343 is lower than 749, we can conclude that there is evidence to suggest that the credit scores have decreased since 2019.

Finally, if you want to obtain a 90% confidence interval with a margin of error of plus or minus 3, you can use the formula for the sample size n =

=> (z² x s²) / (E²),

where z is the critical value, s is the estimated standard deviation from a previous study or pilot sample, and E is the desired margin of error.

Since s is unknown in this case, we can use a conservative estimate of 50 for the standard deviation.

Therefore, n = (1.725² x 50²) / (3²) = 138.32.

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The new perimeter of the enlarged piece of cardboard is 36 feet.

Given:

The perimeter of a rectangle piece of cardboard is 7 feet, and the area is 3 square feet.

The length and width of this piece are each multiplied by 6.

Required: The perimeter of the new enlarged piece of cardboard.

Let the length of the piece of cardboard be l and the width be w.

Area of cardboard = lw

From the question, the perimeter of the cardboard = 2(l + w) = 7 feet.

Area of cardboard = 3 square feet. lw = 3.

The length and width of this piece are each multiplied by 6.

Now, the new length of the cardboard = 6l and the new width of the cardboard = 6w.

Area of new cardboard = 6l × 6w = 36lw = 36 × 3 = 108 feet^2.

The new perimeter of the cardboard is 2 (6l + 6w) = 12(l + w).

The value of l + w can be found as follows:

l + w = (l + w)²/4 + (l + w)²/4 - lw [completing the square]l + w

= [(l + w)² - 4lw]/4l + w

= [(l + w)² - 4 × 3]/4l + w

= [(l + w)² - 12]/4

Now substituting the value of lw = 3,

we have:

l + w = [(l + w)² - 12]/4(l + w)² - 12

= 4(l + w)(l + w)² - 4(l + w) - 12

= 0(l + w)² - (l + w) - 3

= 0(l + w - 3)(l + w + 1) = 0

Therefore, l + w = 3 (as the lengths cannot be negative).

Now, the new perimeter of the cardboard is 12 (l + w) = 12 × 3 = 36 feet.

Therefore, The new perimeter of the enlarged piece of cardboard is 36 feet.

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The following are the ways of illustrating a relation and a function using Mapping or Arrow Diagram EXCEPT

B. One-to-many correspondence

A relation represents a function when each input value is mapped to a single output value.

This means that there cannot be an one-to-many correspondence, which would mean that a single input would be mapped to multiple outputs.

This means that the correct option in the context of this problem, the one with a false statement, is given by option B.

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The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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To devise a 3-to-1 correspondence, we need to find a function that maps each element in the set {1, 2, ..., 30} to exactly one element in the set {1, 2, ..., 10}.

The function f(x) = ⌊(x + 2) / 3⌋ provides a 3-to-1 correspondence between the sets {1, 2, ..., 30} and {1, 2, ..., 10}.

One way to achieve this is by using the floor function. We can define the function as follows:

f(x) = ⌊(x + 2) / 3⌋

Here, ⌊ ⌋ represents the floor function, which rounds a number down to the nearest integer.

Each element in the second set has three pre-images in the first set.

Let's verify that this function satisfies the 3-to-1 correspondence property:

For any element x in the set {1, 2, ..., 30}, the expression (x + 2) / 3 will give a value in the range [1, 10].

The floor function ⌊(x + 2) / 3⌋ rounds this value down to the nearest integer in the range [1, 10].

For any element y in the set {1, 2, ..., 10}, there will be three values of x (x, x+1, x+2) such that ⌊(x + 2) / 3⌋ = y.

Thus, the function f(x) = ⌊(x + 2) / 3⌋ provides a 3-to-1 correspondence between the sets {1, 2, ..., 30} and {1, 2, ..., 10}.

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The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer:

-5 1/8

Step-by-step explanation:

-5 1/8

Answer: SLAPS and TAPS GAPs And djfjkfkfc.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

22950000000 or \(22.95^{110000}\)

Step-by-step explanation

\(10^9\cdot \:22.95x^2\) = \(22.95^{110000}\)

Answer: \(22950000000\)

Step-by-step explanation:

\((8.5x10^5)(2.7x10^4)\)