Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.

The value assigned to variable y in the given expression "x = 0; y = (x > 0) ? 10 : -10;" is -10.

In the given expression "x = 0; y = (x > 0) ? 10 : -10;", the variables x and y are being assigned values based on a conditional statement.

First, the value of x is assigned as 0.

The conditional statement (x > 0) checks whether the value of x is greater than 0. In this case, since x is equal to 0, the condition evaluates to false.

The ternary operator ? : is used to specify different values for y based on the outcome of the conditional statement. If the condition is true, the value assigned to y would be 10. On the other hand, if the condition is false, the value assigned to y would be -10.

In this case, since the condition (x > 0) is false, the value assigned to y is -10, as indicated after the colon :.

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Answer:

267.94

Step-by-step explanation:

V=4/3(pi)r^2

V=4/3(3.14)8^2

V=4/3(3.14)64

V=4/3(200.96)

V=267.94

Answer:

2144.7 m^3

Step-by-step explanation:

Jenny saves £0.22 in total. To calculate the savings, we first need to determine the profit made by selling the DVD cases.

Jenny sells each case for 11 pence, and since she bought a full box, we need to find the number of cases in a box. Let's assume there are x cases in a box. Since Jenny bought the box for £2.43, we can set up the equation: 11 pence × x = £2.43.

To solve for x, we divide both sides of the equation by 11: x = £2.43 ÷ 11 = £0.2218 (rounded to four decimal places).So, there are approximately 22.18 cases in a box. Since we can't have a fraction of a case, we consider that there are 22 cases in a box.

Now, let's calculate the profit made from selling the cases. Jenny sells each case for 11 pence, and she has sold 22 cases, resulting in a profit of £0.22. Since Jenny saves two-thirds of the profit, her savings would be two-thirds of £0.22. To find this, we multiply £0.22 by 2/3.

(£0.22) × (2/3) = £0.1467 (rounded to four decimal places). Therefore, Jenny saves approximately £0.15 (rounded to two decimal places).

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Answer:

2 between 2 and 4 and 8 between 7 and -1

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Therefore, the bond will sell at approximately $761.90.

To determine the selling price of the bond, we need to calculate the present value of its cash flows.

The bond pays $20 in semi-annual coupon payments, which means it pays $40 annually ($20 * 2) in coupon payments.

The current yield of 5.25% represents the yield to maturity (YTM) or the required rate of return for the bond.

To calculate the present value, we can use the formula for the present value of an annuity:

Present Value = Coupon Payment / YTM

In this case, the Coupon Payment is $40 and the YTM is 5.25% or 0.0525.

Present Value = $40 / 0.0525

Calculating the present value:

Present Value ≈ $761.90

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The argument is valid. The argument is valid based on the direct truth-table method.

To test the validity of the argument, we can use the direct truth-table method. Let's break down the argument and construct the truth table for the given premises and the conclusion:

Premises:

G ⊃ H

R ≡ G

~H v G

Conclusion:

R • H

Constructing the truth table:

We have three propositions: G, H, and R. Each proposition can have two truth values, true (T) or false (F). Therefore, we need 2^3 (8) rows in the truth table to evaluate all possible combinations.

By evaluating the truth table, we find that in all rows where the premises (1, 2, 3) are true, the conclusion (R • H) is also true. There is no row where the premises are true, but the conclusion is false. Therefore, the argument is valid.

The argument is valid based on the direct truth-table method. This means that if the premises (G ⊃ H, R ≡ G, ~H v G) are true, then the conclusion (R • H) must also be true.

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Answer:

Option B

Step-by-step explanation:

Step 1:  Determine the range and domain

Range is asking for what y values are being used.  We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.

Domain is asking for what x values are being used.  We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides.  This gives us the answer that the domain is all real numbers.

Looking at the given options, options C and D are automatically removed because the range is incorrect.  Next looking at the domain we see that option A is incorrect which leaves us with option B.

Answer: Option B

The government's purchase of new weapons systems has a ripple effect that stimulates economic growth. When the government buys weapons systems from manufacturers, it injects money into the industry, enabling manufacturers to pay their employees.

These employees then spend their earnings on various goods and services, which benefits other businesses. As a result, those businesses can hire more employees and contribute to the expansion of the local economy.

This process can be understood through the concept of the multiplier effect. The initial government spending on weapons systems creates a chain reaction of increased economic activity. The manufacturers, upon receiving payment, allocate those funds to employee salaries, thereby boosting the income and purchasing power of their workers.

These employees, in turn, utilize their income to make purchases from different firms, such as grocery stores, restaurants, or service providers. Consequently, these businesses experience a rise in demand, allowing them to hire more employees to meet the increased consumer needs. This cycle continues, leading to a broader expansion of the local economy as money circulates and creates additional income and employment opportunities.

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(a) p(2), that is, P(X = 2)The cdf is given by: F(x) = 0 x < 00.06 0 ≤ x < 10.16 1 ≤ x < 20.33 2 ≤ x < 30.69 3 ≤ x < 40.92 4 ≤ x < 50.99 5 ≤ x < 61 6 ≤ x

The probability mass function p(x) can be derived from the cdf by taking differences:

p(x) = F(x) − F(x-1)Thus the probability mass function p(x) is as follows: p(x) = 0.06  x = 10.1  x = 20.17 x = 30.36  x = 40.23 x = 50.07 x = 60.01 x = 6The probability P(X = 2) can be found as follows: P(X = 2) = p(2) = 0.17(b) P(X > 3)The probability can be found as follows: P(X > 3) = P(4 ≤ X) = 1 - P(X < 4) = 1 - F(3) = 1 - 0.33 = 0.67(c) P(2 ≤ X ≤ 5)The probability can be found as follows: P(2 ≤ X ≤ 5) = F(5) - F(1) = 0.99 - 0.1 = 0.89(d) P(2 < X < 5)

The probability can be found as follows: P(2 < X < 5) = F(4) - F(2) = 0.92 - 0.17 = 0.75.

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Answer:

Step-by-step explanation:

find two points on the line

(0, 2)     (3, 3)

find slope

(3-2)/3

m=1/3

y=1/3x+b

to find b substitute in one ordered pair

2=1/3*0+b

2=b

y=1/3x+2

The distance from S to the plane x+y+z=0 is sqrt(105)/7.

To find the distance from the sphere S to the plane x+y+z=0, we need to first find the center of the sphere S. We know that the center of the sphere S is (1, 2, 3) and the radius of the sphere is 1. We can use the equation of the plane x+y+z=0 to find the distance from the center of the sphere to the plane.

We can use Lagrange multipliers to find the distance from the center of the sphere to the plane. We need to minimize the function \(f(x, y, z) = (x-1)^2 + (y-2)^2 + (z-3)^2\) subject to the constraint x+y+z=0. Using Lagrange multipliers, we get the following system of equations:

2(x-1) = λ

2(y-2) = λ

2(z-3) = λ

x+y+z = 0

Solving these equations, we get x = 1-λ/2, y = 2-λ/2, and z = 3-λ/2. Substituting these values into the equation x+y+z=0, we get λ = 12/7. Substituting this value of λ into x, y, and z, we get the coordinates of the point on the plane closest to the center of the sphere: (5/7, 4/7, -9/7).

To find the distance from the center of the sphere to the plane, we can use the distance formula. The distance from the center of the sphere to the plane is given by the length of the vector connecting the center of the sphere to the point on the plane closest to the center of the sphere. Therefore, the distance from the sphere S to the plane x+y+z=0 is:

d = sqrt[(5/7 - 1)^2 + (4/7 - 2)^2 + (-9/7 - 3)^2] = sqrt[105/49] = sqrt(105)/7.

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Answer:

\(x=5/3\)

Step-by-step explanation:

\(9x+1=16 \\ \\ 9x=15 \\ \\ x=5/3\)

Answer:

$29.60

Step-by-step explanation:

$11.20/14 miles = $0.80 per mile

$0.80 x 37 = $29.60

Answer:

$29.60 is the correct answer hope this helps

Answer:

54 seats

Step-by-step explanation:

To make it easier, I'll put it like this.

Row    |    Seats

 1        |      24

 2       |      30

 3       |      36

 4       |      42

 5       |      48

 6       |      54

(Add 6, because each row has 6 more seats than the row in front of it.)

So, the 6th row has 54 seats.

Hope this helped !

(a) Yes, there is a contact resistance at the junction of materials A and B. Its magnitude is 0.0384 m^2∘C/W.

(b) The exact temperature jump at the interface cannot be calculated without the surface area of the interface.

(c) If there was no contact resistance, the thickness of slab A should be increased to maintain the same heat flux, but the percentage increase cannot be determined without the surface area information.

(a) Yes, there is a contact resistance at the junction of materials A and B. Its magnitude can be determined using the equation for thermal resistance at the contact interface:

R_contact = (1 / h_interface) - (1 / h_A)

where R_contact is the contact resistance, h_interface is the heat transfer coefficient at the interface, and h_A is the heat transfer coefficient for material A. Substituting the given values:

R_contact = (1 / 26) - (1 / 180) = 0.0384 m^2∘C/W

(b) The temperature jump at the interface can be calculated using the equation:

ΔT_interface = Q / (h_interface × A_interface)

where ΔT_interface is the temperature jump, Q is the heat transfer rate, h_interface is the heat transfer coefficient at the interface, and A_interface is the surface area of the interface. As the area of the interface is not provided, we cannot calculate the exact value of ΔT_interface.

(c) If there was no contact resistance, the thickness of slab A would need to be increased to achieve the same heat flux. The heat flux (q) can be calculated using the equation:

q = (T_hot - T_cold) / (R_total)

where T_hot is the temperature of the hot fluid, T_cold is the temperature of the air, and R_total is the total thermal resistance of the composite wall. The total thermal resistance is the sum of the resistances of materials A and B and the contact resistance:

R_total = R_A + R_contact + R_B

To maintain the same heat flux, we can equate the two expressions for q and solve for the new thickness of slab A, denoted as t_A':

q = (T_hot - T_cold) / (R_A + R_contact + R_B)

q = (T_hot - T_cold) / (k_A × A_A / t_A' + R_contact + k_B × A_B / t_B)

where t_A' is the new thickness of slab A, A_A and A_B are the surface areas of materials A and B, and t_B is the thickness of slab B.

To solve for t_A', we rearrange the equation:

k_A × A_A / t_A' = q × (R_A + R_contact + R_B) - k_B × A_B / t_B

t_A' = k_A × A_A / (q × (R_A + R_contact + R_B) - k_B × A_B / t_B)

Substituting the given values and the previously calculated contact resistance:

t_A' = (10 × A_A) / (q × (0.15 + 0.0384 + 0.2) - 16 × A_B / 0.2)

Note: The values of A_A and A_B are not provided, so the final percentage increase in thickness cannot be calculated without that information.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

19) x=-3, 20) a=1, 21) b=3, 22) x=8

Step-by-step explanation:

hope that helps, those are the answeres to each question. :)))

Answer:

Step-by-step explanation:

Answer:

56 marbles in total

Step-by-step explanation:

32 blue marbles + 24 green marbles

yes what the person above me said

The statement is False. A matrix A can be expressed in the form of A = UΣVT, where Σ is an m x n matrix whose diagonal entries are non-zero.

The statement is not accurate. The correct statement is that A can be expressed in the form of A = UΣVT, where Σ is an m x n matrix whose diagonal entries are non-zero.

This form represents the singular value decomposition (SVD) of a matrix A. In the SVD, U is an m x m orthogonal matrix, Σ is an m x n diagonal matrix with non-zero diagonal entries, and VT is the transpose of an n x n orthogonal matrix.

The diagonal entries of Σ, called the singular values, represent the magnitudes of the singular vectors in U and VT and can be non-zero. Therefore, the correct statement is that the diagonal entries of Σ are non-zero, rather than zero.

The SVD is a powerful tool in linear algebra and has various applications in areas such as data analysis, image processing, and signal processing.

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Answer:

2/5 (or 2/5th) of the registered voters did not participate in the 2016 election for the state

Step-by-step explanation:

The total probability is 1 (if you add the fraction who did participate and the fraction that didn't, then you get 1), and since you have 2 choices, either you participate or you don't participate in the election, we conclude that the remaining fraction is,

(fraction of Those who didn't participate) = 1 - (fraction of those who did participate)

fraction of Those who didn't participate = 1 - 3/5

fraction of Those who didn't participate = 5/5 - 3/5

fraction of Those who didn't participate = 2/5

Hence, 2/5th of the registered voters did not participate in the 2016 election for the state

Answer:

4

Step-by-step explanation:

2/x = 5/10

Using cross products

2*10 = 5x

20 =5x

Divide each side by 5

20/5 = 5x/5

4=x

The unknown number is 4

Answer:

? = 4

Step-by-step explanation:

I am using x for ?

\(\frac{2}{x}\) = \(\frac{5}{10}\) ( cross- multiply )

5x = 20 ( divide both sides by 5 ) x = 4

The missing number is 4

Answer:

0

Step-by-step explanation:

Answer:

9/10=$1.08

2=$1.19

3 1/10=$1.30

10=$1.99

Step-by-step explanation:

9/10-1/10=8/10

8/10x0.10=0.08

1+0.08=1.08

Same process for all the rest

When k is a common multiple of 75, 98, and 140, the following statements are true:I. k is divisible by 9II. k is divisible by 49III.

k is greater than 14,000Option C: I and II only is the correct option. In order to find the common multiple of 75, 98 and 140, we first have to find the prime factorization of the given numbers. 75 = 3 × 5²98 = 2 × 7²140 = 2² × 5 × 7.

Hence, the common multiple of 75, 98 and 140 is the product of the highest powers of all prime factors in the prime factorization of these numbers. Hence, the common multiple of 75, 98 and 140 is 2² × 5² × 7² = 2450.I.

k is divisible by 9: 2450 is not divisible by 9. Hence, this statement is incorrect.II. k is divisible by 49: 2450 is divisible by 49. Hence, this statement is correct.III. k is greater than 14,000: 2450 is less than 14,000.

Hence, this statement is incorrect. Therefore, the correct option is C: I and II only.

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Answer:

20 miles

Step-by-step explanation:

10 x 2 = 20

10 miles is half the drive so you'd just multiply it by 2 and that would be the full amount of miles home.

Answer:

The total length of Nicol’s drive would be 20 miles.

If The first half of her trip takes 10 miles then the second half would have an equal number of miles. 10x2=20

You would use 10 two times because 1/2+1/2=1.

Therefore the total amount of miles Nicole will travel will be 20.

Carlos buy 35 number of angelfish and 360 number of parrotfish.

What is solving an equation?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

x represents the number of angelfish Carlos bought and the variable y represents the number of parrotfish he bought.

Carlos bought 405 tropical fish for a museum display.

x + y = 405            ..(1)

As he bought 8 times as many parrotfish as angelfish.

⇒ y = 8x                ..(2)

Plug y = 8x in equation (1)

x + 8x = 405

     9x = 405

       x = 45

Plug x = 45 in equation (2)

y = 8(45)

y = 360

Hence, Carlos bought 35 number of angelfish and 360 number of parrotfish.

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A seam or edge is an obvious line where the foundation starts or stops. This term refers to a clear boundary or distinction between two areas or surfaces, such as when applying makeup.

A seam or edge is an obvious line where the foundation starts or stops. These lines indicate the boundary of where foundation makeup should be applied or where it should end. It is important to blend the foundation seamlessly into the skin to avoid any noticeable lines or streaks. Additionally, applying a primer beforehand can help smooth out the skin's texture and create a more even base for foundation application. By taking the time to properly blend and apply foundation, you can achieve a flawless, natural-looking complexion.
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Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5