which graph represents the compound inequality -3<n<1​

Answer: 15

Step-by-step explanation:

-15 is 15 units to zero (answer should always be positive)

Answer:

7250.66

Step-by-step explanation:

Answer: 3 = 12 , 4 = 2 , 2 = 22
             

Step-by-step explanation: Since t represents the number of tickets purchased, we need to plug that into our equation.

d = -10t + 42

d = -10(3) + 42

We know that d is the balance of the bank account, so if we plug in the number of tickets purchased, we will solve to get the balance of the bank account.

d = -10(3) + 42

d = -30 + 42

d = 12

In this equation, If we purchase 3 tickets, the balance of the bank account would be 12 dollars.

Let's do the last 2 equations using d = -10t + 42.

d = -10(4) + 42

d = -40 + 42

d = 2

In this equation, If we purchase 4 tickets, the balance of the bank account would be 2 dollars.

d = -10(2) + 42

d = -20 + 42

d = 22

In this equation, If we purchase 2 tickets, the balance of the bank account would be 22 dollars.

Answer:

x = t(a+p)/4

Step-by-step explanation

Given the expression

​a=4x/t - p

We are to make x the subject of the formula

a=4x/t - p

Add p to both sides

a+p = 4x/t - p+p

a+p = 4x/t

Cross multiply

t(a+p) = 4x

Rearrange

4x = t(a+p)

Divide both sides by 4

4x/4 = t(a+p)/4

x = t(a+p)/4

There are 277,200 ways to select a committee of four Republicans, three Democrats, and two Independents from the given group.

To select a committee of four Republicans, three Democrats, and two Independents from a group of 10 distinct Republicans, 12 distinct Democrats, and 4 distinct Independents, you can use combinations.

For Republicans: C(10,4) = 10! / (4!(10-4)!) = 210 ways
For Democrats: C(12,3) = 12! / (3!(12-3)!) = 220 ways
For Independents: C(4,2) = 4! / (2!(4-2)!) = 6 ways

Now, multiply the combinations together to get the total ways:
210 (Republicans) × 220 (Democrats) × 6 (Independents) = 277,200 ways

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The value of c should be 20.2 so that 99% of all parcels are at least 1 lb under the surcharge weight (that is, only 1% are beyond c-1 lb).

What is surcharge?

Surcharges are extra fees or taxes, as the name implies. A 10% surcharge on a 30% tax rate effectively increases the total tax burden to 33%. A 10% surcharge is added to the tax obligation for people whose net taxable income exceeds Rs 1 crore. The surcharge is increased to 5% if the net income is greater than Rs 10 crore. If a company's net income surpasses Rs. 1 crore and Rs. 10 crore, they are both provided a margin of relief.

Solution Explained:

Given,

m = 12

d = 3.5

P(z<x) = 0.99 = ¢(Z)

Z = 2.33

Since Z = (x - m)/d

x = dZ + m

x = 3.5*2.33 + 12

x = 20.155 lb approximately

x = 20.2 lb

Therefore, the highest weight for 99% if the parcels is 20.2 lb.

That is, the surcharge weight = 20.2 + 1 = 21.2 lb

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All solutions to the given system of congruences are given by (x \equiv 1 \mod 60), (x \equiv 3601 \mod 60), and so on, where the difference between consecutive solutions is a multiple of 60.

To find all solutions to the system of congruences:

(x \equiv 1 \mod 3),

(x \equiv 2 \mod 4),

(x \equiv 2 \mod 5),

we can use the Chinese Remainder Theorem.

The Chinese Remainder Theorem states that if we have a system of congruences (x \equiv a_1 \mod n_1), (x \equiv a_2 \mod n_2), ..., (x \equiv a_k \mod n_k) with pairwise coprime moduli ((n_i) and (n_j) are coprime for (i \neq j)), then there exists a unique solution modulo (N = n_1 \cdot n_2 \cdot ... \cdot n_k).

In our case, the moduli are 3, 4, and 5, which are pairwise coprime. Thus, the modulus (N = 3 \cdot 4 \cdot 5 = 60).

We can express each congruence in terms of the modulus (N) as follows:

(x \equiv 1 \mod 3) can be written as (x \equiv -59 \mod 60),

(x \equiv 2 \mod 4) can be written as (x \equiv -58 \mod 60),

(x \equiv 2 \mod 5) can be written as (x \equiv -58 \mod 60).

Now, we can apply the Chinese Remainder Theorem to find the unique solution modulo 60.

Let's denote the solution as (x = a \mod 60).

Using the first congruence, we have (a \equiv -59 \mod 60). This implies that (a = -59 + 60k) for some integer (k).

Substituting this into the second congruence, we have (-59 + 60k \equiv -58 \mod 60).

Simplifying, we get (k \equiv 1 \mod 60).

Therefore, the general solution is (x \equiv -59 + 60k \mod 60) where (k \equiv 1 \mod 60).

To find all solutions, we can substitute different values of (k) satisfying (k \equiv 1 \mod 60) and calculate the corresponding values of (x).

For example, when (k = 1), we get (x \equiv -59 + 60(1) \equiv 1 \mod 60).

Similarly, when (k = 61), we get (x \equiv -59 + 60(61) \equiv 3601 \mod 60).

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Answer:

3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft

Step-by-step explanation:

3. use proportions:
\(\frac{h}{50} = \frac{50}{12.5}\)
50(50) = 12.5h
h = 200ft

4.
\(\frac{h}{6} =\frac{7}{2}\)
6(7) = 2h
h = 21ft

5.
\(\frac{25}{8} =\frac{x}{12}\)
25(12) = 8x
x = 37.5m

6.
\(\frac{9}{15} =\frac{h}{7}\)
9(7) = 15h
h = 4.2ft

Let's use the variables x and y to represent the cost of a hot dog meal and a hamburger meal, respectively.

Then, we can write the following system of equations to describe the situation:

2x + 3y = 33 (Mrs. Dotson's purchases)

1x + 3y = 27 (Mr. Kent's purchases)

To solve this system of equations using elimination, we can multiply the second equation by 2 and subtract it from the first equation:

2x + 3y = 33

-2x - 6y = -54

0x - 3y = -21

Simplifying the equation, we get:

y = 7

Substituting this value of y into either equation, we can solve for x:

2x + 3(7) = 33

2x + 21 = 33

2x = 12

x = 6

Therefore, hot dog meals cost $6 each, and hamburger meals cost $7 each.

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isnt It imporoper

................,,,,

Answer:

Can I get brainiest?

Step-by-step explanation:

The solution of the division of the fraction is expressed as; -⁴/₁₅

When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.

We have the expression as;

-¹/₃ ÷ ⁵/₄

By the method described above, we can say that the solution is;

-¹/₃ × ⁴/₅

= -⁴/₁₅

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the square root of 4 is 2

Answer:

\(y-x=1\)

Step-by-step explanation:

All the other choices are incorrect because when put in slope-intercept form (y = mx + b), the slope is not equal to 1. The slope of the lines for the other equations are \(-\frac{1}{2} , 2, and -1\). Only the first choice has a slope of 1 like the given equation.

In summary This is the solution to the differential equation (2x-1)dx+(7y+3)dy=0.

Why is it?

To solve for (2x-1)dx+(7y+3)dy=0, we need to find a function whose differential is (2x-1)dx+(7y+3)dy.

We can do this by integrating both sides with respect to their respective variables:

∫(2x-1)dx + ∫(7y+3)dy = 0

Integrating the first term with respect to x gives:

x²2 - x + C1

where C1 is the constant of integration.

Integrating the second term with respect to y gives:

7/2 y²2 + 3y + C2

where C2 is the constant of integration.

So the general solution to the differential equation is:

x²2 - x + C1 + 7/2 y²2 + 3y + C2 = 0

We can simplify this by combining the constants into a single constant, say C:

x²2 - x + 7/2 y²2 + 3y + C = 0

This is the solution to the differential equation (2x-1)dx+(7y+3)dy=0.

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4 - x < 9

Subtract 4 from both sides

4 - x - 4 < 9 - 4

Now we have:

- x < 5

Divide both sides by -1

x < -5

When you divide an inequality by -1, the sign flips

Thus, your answer would be:

x > -5

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Answer:

$2,611.9.

Step-by-step explanation:

To find the operating cost for the lowest 2% of the airplanes, we need to find the corresponding z-score from the standard normal distribution using a z-table.

Using the formula:

z = (x - μ) / σ

where x is the cost we are interested in, μ is the mean cost, and σ is the standard deviation.

For the lowest 2% of airplanes, the z-score can be found by looking up the area to the left of z in the z-table. This area is 0.02.

Looking up 0.02 in the z-table gives a z-score of approximately -2.05.

So we have:

-2.05 = (x - 3403) / 398

Solving for x, we get:

x = -2.05 * 398 + 3403 = $2,611.9

Therefore, the operating cost for the lowest 2% of the airplanes is approximately $2,611.9.

The inverse Laplace transform of (-5s - 36) / ((s + 2)(s²+ 9)) is \(-4e^{-2t}\)+ (-cos(3t) + 8sin(3t))/3.

To find the inverse Laplace transforms of the given expressions, we can use partial fraction decomposition and known Laplace transform pairs. Let's solve each one step by step:

To find the inverse Laplace transform of (-2s² - 3s - 2) / (s(s + 1)²):

Step 1: Factorize the denominator:

s(s + 1)² = s(s + 1)(s + 1)

Step 2: Perform partial fraction decomposition:

(-2s² - 3s - 2) / (s(s + 1)²) = A/s + (B/(s + 1)) + (C/(s + 1)²)

Multiplying through by the common denominator, we get:

-2s² - 3s - 2 = A(s + 1)² + B(s)(s + 1) + C(s)

Expanding and equating coefficients, we find:

-2 = A

-3 = A + B

-2 = A + B + C

Solving these equations, we find: A = -2, B = 1, C = 0.

Step 3: Express the inverse Laplace transform in terms of known Laplace transform pairs:

\(L^{-1(-2s^{2} - 3s - 2) }\)/ (s(s + 1)²) = \(L^{-1(-2/s)}\) + \(L^{-1(1/(s + 1)) }\)+ \(L^{-1(0/(s+1)^{2} }\)

= -2 + \(e^{-t}\)+ 0t\(e^{-t}\)

Therefore, the inverse Laplace transform of (-2s² - 3s - 2) / (s(s + 1)²) is -2 + \(e^{-t}\).

To find the inverse Laplace transform of (-5s - 36) / ((s + 2)(s² + 9)):

Step 1: Factorize the denominator:

(s + 2)(s² + 9) = (s + 2)(s + 3i)(s - 3i)

Step 2: Perform partial fraction decomposition:

(-5s - 36) / ((s + 2)(s² + 9)) = A/(s + 2) + (Bs + C)/(s² + 9)

Multiplying through by the common denominator, we get:

-5s - 36 = A(s² + 9) + (Bs + C)(s + 2)

Expanding and equating coefficients, we find:

-5 = A + B

0 = 2A + C

-36 = 9A + 2B

Solving these equations, we find: A = -4, B = -1, C = 8.

Step 3: Express the inverse Laplace transform in terms of known Laplace transform pairs:

\(L^{-1(-5s - 36)}\) / ((s + 2)(s² + 9)) = \(L^{-1(-4/(s + 2))}\) + \(L^{-1((-s + 8)/(s^2 + 9)}\))

= \(-4e^{-2t}\) + (-cos(3t) + 8sin(3t))/3

Therefore, the inverse Laplace transform of (-5s - 36) / ((s + 2)(s²+ 9)) is \(-4e^{-2t}\)+ (-cos(3t) + 8sin(3t))/3.

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Answer:

400/500 people do not wear glasses.

Step-by-step explanation:

There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.

Answer:

500/500-100/500=400/500

I believe it is

Answer:

Sale price:  $722.50

Step-by-step explanation:

Subtract 15% from 100%, obtaining 85%.  The computer is sold for 85% off.

Converting this 85% to a mixed decimal, we get 0.85, and then we multiply the original price ($850) by this 0.85:  0.85($850) = $722.50

Answer:

5/2

Step-by-step explanation:

The first factor sin(x) equals zero at x = 0, π, and 2π.

The second factor sin(x) + 1 equals zero at sin(x) = -1. In the interval [0, 2π), the only solution is x = 3π/2.

Therefore, the solutions of the equation in the given interval are x = 0, π, 2π, and 3π/2.

1.) The equation 8sin^2(2x) = 4 can be rewritten as 4sin^2(2x) - 2 = 0. Applying the double-angle formula, we have 4(2sin(x)cos(x))^2 - 2 = 0, which simplifies to 16sin^2(x)cos^2(x) - 2 = 0. Dividing by 2 gives 8sin^2(x)cos^2(x) - 1 = 0. Using the identity sin^2(x) = 1 - cos^2(x), we get 8(1 - cos^2(x))cos^2(x) - 1 = 0. Expanding and rearranging, we have 8cos^4(x) - 8cos^2(x) + 1 = 0. This is a quadratic equation in terms of cos^2(x). Letting u = cos^2(x), the equation becomes 8u^2 - 8u + 1 = 0. Solving this quadratic equation, we find u = (8 ± √(8^2 - 4(8)(1)))/(2(8)) = 1/2 ± √(2)/2. Since u = cos^2(x), we have cos(x) = ±√(1/2 ± √(2)/2). Taking the inverse cosine, we find the possible values of x are x = π/4, 3π/4, 5π/4, and 7π/4.

2.) The equation tan^2(4x) = 3 can be rewritten as sin^2(4x)/cos^2(4x) = 3. Using the identity sin^2(x) = 1 - cos^2(x), we have (1 - cos^2(4x))/cos^2(4x) = 3. Multiplying through by cos^2(4x), we get 1 - cos^2(4x) = 3cos^2(4x). Rearranging, we have 4cos^2(4x) = 1. Dividing by 4, we obtain cos^2(4x) = 1/4. Taking the square root, we have cos(4x) = ±1/2. Taking the inverse cosine, we find the possible values of 4x are 2π/3, 4π/3, 8π/3, and 10π/3. Dividing by 4, we get x = π/6, π/3, 2π/3, and 5π/12.

3.) The equation sin(x)(sin(x) + 1) = 0 has two possible solutions: sin(x) = 0 and sin(x) + 1 = 0.

For sin(x) = 0, we have x = 0, π, and 2π.

For sin(x) + 1 = 0, we have sin(x) = -1. The only solution in the interval [0, 2π) is x = 3π/2.

Therefore, the solutions of the equation in the given interval are x = 0, π, 2π, and 3π/2.

1.) In the first equation, we start by using the double-angle formula for sine, which states that sin(2x) = 2sin(x)cos(x). By substituting this into the equation, we get 8sin^2(2x) = 8(2sin(x)cos(x))^2 = 16sin^2(x)cos^2(x).

Next, we apply the identity sin^2(x) = 1 - cos^2(x), which allows us to express the equation solely in terms of cos(x). After substituting this identity, we obtain 16(1 - cos^2(x))cos^2(x) - 2 = 8cos^4(x) - 8cos^2(x) + 1 = 0.

To simplify the equation further, we introduce a substitution u = cos^2(x), which transforms the equation into a quadratic equation in u. Solving this quadratic equation, we find the values of u as u = 1/2 ± √(2)/2.

Finally, we take the inverse cosine of u and solve for x, resulting in the solutions x = π/4, 3π/4, 5π/4, and 7π/4.

2.) In the second equation, we utilize the identity tan^2(x) = sin^2(x)/cos^2(x). By substituting this into the equation, we get sin^2(4x)/cos^2(4x) = 3.

Next, we rearrange the equation by multiplying through by cos^2(4x) to eliminate the denominator. This gives us (1 - cos^2(4x))/cos^2(4x) = 3.

Using the identity sin^2(x) = 1 - cos^2(x), we substitute the expression for sin^2(4x) and obtain 1 - cos^2(4x) = 3cos^2(4x).

Simplifying further, we have 4cos^2(4x) = 1, and dividing by 4 gives cos^2(4x) = 1/4.

Taking the square root of both sides, we get cos(4x) = ±1/2. Then, taking the inverse cosine of the possible values, we find the solutions for 4x as 2π/3, 4π/3, 8π/3, and 10π/3.

Finally, dividing these solutions by 4, we obtain x = π/6, π/3, 2π/3, and 5π/12.

3.) The third equation involves the product of two factors, sin(x) and (sin(x) + 1), equated to zero.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

The answer is C. He did not take advantage of the opportunity to keep the power the country offered him.

Step-by-step explanation:

I just took the test.

Answer:

Its the bottom right one

Answer:

77

Step-by-step explanation:

If the value of the coefficient of the x² term when the expression (3.5x²-5+2x) is multiplied by (-5x -0.75) . The coefficient of the x² term is -2.625.

When multiplying (3.5x² - 5 + 2x) by (-5x - 0.75), we need to discover the product of the parts that contain x² in order to determine the coefficient of the x² term.

Now let  write out the product of the two polynomials:

(3.5x² - 5 + 2x) × (-5x - 0.75)

= -17.5x³ - 2.625x² + 25x + 3.75

So,

The x² term's coefficient which is -2.625 is the coefficient of the term that contains x².

Therefore the coefficient is  -2.625.

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1) As we can see there are two triangles, similar triangles. Similar triangles are proportional on their sides and congruent on their angles.

2) So, the angle a can be found by doing the triangle sum theorem

Answer:

2.08 this is answer

Answer:

51 students were on each bus

Step-by-step explanation:

\(364 - 7 = 357\)  (7 is the number leftover students)

\(357 / 7 = 51\) (7 is the number of buses)

51 is how many students are in each bus

ps, can you please give me brainly

3/4

Step-by-step explanation:

when you get a chance can you slide me know if you need anything else from me and I will be there in about to be a little late to the dispo for me to get the puffs rn rn and I will be there in about an hour or so if you want to come over and get it or not really tbh I just want to make shure they are good for you guys had a good day and you have any questions for the right price yey I think and I'll be home and I'll be there around da time then I can i just want