2x-y=9,2x+y=11 what’s the answer to this question

Answer:

\(Final\ Score = 4\ points\)

Step-by-step explanation:

Given

\(Silverthorn\ Dragon = 10\ points\)

\(Fire\ Scorches = -6\ points\)

Required

Determine the final score

Final score is calculated as follows:

\(Final\ Score = Silverthorn\ Dragon + Fire\ Scorches\)

\(Final\ Score = 10\ points -6\ points\)

\(Final\ Score = 4\ points\)

Answer:

4

Step-by-step explanation:

According to quadratic equations, the travelling time of each ball is, respectively:

Case 7: t = 3.203 s.

Case 8: t = 4.763 s.

In this problem we find two word problems involving a ball travelling in the air, whose motion equation is described by a quadratic equation:

h = - 16 · t² + v · t + c

Where:

Travelling time can be found by following conditions: (h = 0)

- 16 · t² + v · t + c = 0

t = v / 32 ± (1 / 32) · √(v² + 64 · c), where t > 0.

Now we proceed to determine the resulting time:

Case 7: (v = 50 ft / s, c = 4 ft)

t = 50 / 32 ± (1 / 32) · √(50² + 64 · 4)

t = 3.203 s.

Case 8: (v = 76 ft / s, c = 1 ft)

t = 76 / 32 ± (1 / 32) · √(76² + 64 · 1)

t = 4.763 s.

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6+9=15

(1+5)+9=15

6+9=15

Hope it helped

Answer: 1x6+9=15 or 15x1 or 6+9=15 or 5x3=15

Step-by-step explanation:

When the fire is steadily burning at a temperature of 600 degrees, the number of hours needed to run out is 30 hours.

From the information, the fire is steadily burning at a temperature of 600 degrees F and t was stated that the fire is no longer maintained, the temperature drops 20 F every half hour.

Therefore, the appropriate expression to solve the information will be:

Let the number if hours be h

600 - (20 × h) = 0

600 - 20h = 0

20h = 600

Divide

h = 600 / 20

h = 30

Therefore, when the fire is steadily burning at a temperature of 600 degrees, the number of hours needed to run out is 30 hours.

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63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.

Correct order:

The given equation is 2x = 7 (mod 17).

9 is an inverse of 2 modulo 17.

Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).

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9514 1404 393

Answer:

  a) Cat

  b) 8

  c) 6

Step-by-step explanation:

a) Each line contains one large square, at least. The smallest additional area is on the Cat line. Apparently, the fewest people preferred cats.

__

b) The smaller symbols appear to represent 1/4, 1/2, and 3/4 of the larger square. On that basis, we can add all of the symbols to discover there are a total of 10 of them:

  1 1/4 +1 3/4 +2 1/2 +1 1/2 + 3 = 8 + (1/4 +3/4) +(1/2 +1/2) = 8 +1 +1 = 10

Since 10 symbols represent 80 people, each large square symbol must represent 8 people.

__

c) The number preferring dogs is (1 3/4)(8) = 14. The number preferring giraffes is (2 1/2)(8) = 20. Then 20 -14 = 6 more people preferred giraffes.

Answer:

cat,8,6

Step-by-step explanation:

i think im not sure

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer:

D; 16 seconds

Step-by-step explanation:

speed = distance/time

speed = 90 km/hr

We need to convert this to m/s because the tunnel is in meters and the time is in seconds:

\(\frac{90km}{hr} * \frac{1hr}{3600s} *\frac{1000m}{1km} =25m/s\)

distance = 300 m (tunnel) + 100 m (train) = 400 meters

Solving for time:

\(25m/s=\frac{400m}{t} \\(25m/s)(t)=400m\\t=\frac{400m}{25m/s} \\t=16 s\)

By using the concept of cryptography, it can be concluded that

A solution that is now widely used to allow two parties to secretly exchange keys is Deffie - Hellman protocol

What is cryptography?

Cryptography refers to secure information and communication techniques derived from mathematical concepts and a set of rule-based calculations called algorithms, to transform messages in ways that are hard to decipher.

This is a concept of Cryptography

Diffie–Hellman key exchange establishes a shared secret between two parties which will be used for secret communication for exchanging data over a public network.

A solution that is now widely used to allow two parties to secretly exchange keys is Diffie - Hellman protocol

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Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

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Answer:

10≥x<20

Step-by-step explanation:

Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

the upper bound is 20.

the lower bound is - 8.

Given that, -2 ≤ f(x) ≤ 5 on [-1,3].

Evaluate the integral to find the lower and upper bounds:

∫₋₁³f(x) dx

Substitute f(x) =-2 for the lower bound:

∫₋₁³ f(x) dx = ∫₋₁³ (- 2) dx

= [- 2x]₋₁³

= - 6 - 2

= - 8

Therefore, the lower bound is - 8.

Now, substitute f(x) = 5 into the integral for the upper bound:

∫₋₁³ f(x) dx = ∫₋₁³ (-5) dx

= [5x]₋₁³

= 15 + 5

= 20

Therefore, the upper bound is 20.

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The given question is incomplete, then complete question is below

If −2≤f(x)≤5 on [−1,3] then find upper and lower bounds for ∫₋₁³f(x)dx

Answer:

286m²

Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Answer:

Step-by-step explanation:

IDK

Answer:

same

Step-by-step explanation:

Answer:

I agree, I never have time to do anything because I get home at 10:00 and Im in High School also. I always fall asleep and never have time to do it because I have only like 6 hours or less to sleep.

Step-by-step explanation:

Answer: 4PCL3 -> P4 + 6CL2

Step-by-step explanation:

The surface area of the part of the sphere x²+y²+z²=64 that lies above the cone z=√(x²+y²) is 16π, which is the final answer.

The given equation of sphere is x²+y²+z²=64.

The equation of cone is given by z=√(x²+y²).

The region that lies above the cone is the region where the value of z is greater than the value of √(x²+y²).

Therefore, the surface area of the region lying above the cone is given by the formula:∫∫(1+∂z/∂x²+∂z/∂y²) dxdy.

From the equation of the sphere and cone, we have z = √(64-x²-y²)z = √(x²+y²).

The intersection point between these two surfaces is given by:x² + y² = 16 (as both z values are equal).

We will integrate over the circle with a radius of 4 and a centre at the origin.

The surface area of the region of the sphere above the cone is thus given by:∫∫(1+∂z/∂x²+∂z/∂y²) dxdy= ∫∫(1+∂z/∂x²+∂z/∂y²) r dr dθ.

The limits of integration are 0≤θ≤2π and 0≤r≤4.∂z/∂x² = ∂z/∂y² = x/(z*√(x²+y²))= y/(z*√(x²+y²))= x²+y²/((z²)*(x²+y²))= 1/(z²) = 1/(64-x²-y²).

Therefore, the surface area of the part of the sphere x²+y²+z²=64 that lies above the cone z=√(x²+y²) is given by the following integral.

∫∫(1+∂z/∂x²+∂z/∂y²) dxdy= ∫θ=0²π∫r=0⁴(1+1/(64-x²-y²))r dr dθ= ∫θ=0²π ∫r=0⁴ (64-r²)/(64-r²) r dr dθ= ∫θ=0²π ∫r=0⁴ r dr dθ= π(4)² = 16π

Therefore, the surface area of the part of the sphere x²+y²+z²=64 that lies above the cone z=√(x²+y²) is 16π, which is the final answer.

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Here's the LaTeX representation of the given explanations:

a) Integrating the growth rate equation \(\(\frac{dt}{dh} = 2t + 3\)\) with respect to \(\(t\)\) gives us:

\(\[ \int dt = \int (2t + 3) dt \]\)

\(\[ t = \frac{t^2}{2} + 3t + C \]\)

Using the initial condition \(\(h(0) = 12\)\) , we can substitute \(\(t = 0\)\) and \(\(h = 12\)\) into the equation to find the value of the constant \(\(C\)\):

\(\[ 12 = \frac{0^2}{2} + 3(0) + C \]\)

\(\[ C = 12 \]\)

Therefore, the height of the shrub after \(\(t\)\) years is given by the equation:

\(\[ h(t) = \frac{t^2}{2} + 3t + 12 \]\)

b) To find the height of the shrub after 5 years, we substitute \(\(t = 5\)\) into the equation:

\(\[ h(5) = \frac{5^2}{2} + 3(5) + 12 \]\)

\(\[ h(5) = \frac{25}{2} + 15 + 12 \]\)

\(\[ h(5) = 52 \, \text{cm} \]\)

Therefore, the shrub is 52 cm tall after 5 years.

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Volume of the rectangular solid in cubic inches for the given measures of edges 1. 5 feet by 1½ feet by 3 inches is equal to 972 cubic inches.

As given in the question,

Given measures of edges of the rectangular solid is equal to :

1. 5 feet by 1½ feet by 3 inches

Length = 1.5 feet

Conversion 1 feet = 12 inches

1.5 feet = 1.5 × 12

            = 18 inches

Width = 1½ feet

          = 3/2 feet

          = ( 3/2 ) × 12

          = 18 inches

height = 3 inches

Volume of the rectangular solid = length × width × height

                                                     = 18 × 18 × 3

                                                     = 972 cubic inches

Therefore, volume of the rectangular solid in cubic inches for the given measures of edges 1. 5 feet by 1½ feet by 3 inches is equal to 972 cubic inches.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer:

x = 12

Step-by-step explanation:

Find the value of x if the given triangle is equilateral.

an equilateral rectangle has internal angles of 60 ° (3 * 60 = 180 °).

to find the value of x divide 60 by 5 and you will have that x = 12

(5 * 12 = 60)

The correct value of the given trigonometric function is (B) -½.

So, cos(11π/21)cos(π/7)-sin(11π/21)sin(π/7):

Now, substitute (A = 11π/21) and (B = π/7) in the identity as follows:

Therefore, the correct value of the given trigonometric function is (B) -½.

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Answer:

Complementary angle

Step-by-step explanation:

It adds up to 90 degrees

Answer:

x     f(x)

-5   -30

-1    -10

2    5

3    10

4    15

Step-by-step explanation:

Let us solve the question

∵ The function f is defined by the rule f(x) = 5x - 5

∵ x = -5

→ Substitute x in f by -5 to find the value of f(-5)

∴ f(-5) = 5(-5) - 5 = -25 - 5 = -30

∴ f(-5) = -30

∵ x = -1

→ Substitute x in f by -1 to find the value of f(-1)

∴ f(-1) = 5(-1) - 5 = -5 - 5 = -10

∴ f(-1) = -10

∵ x = 2

→ Substitute x in f by 2 to find the value of f(2)

∴ f(2) = 5(2) - 5 = 10 - 5 = 5

∴ f(2) = 5

∵ x = 3

→ Substitute x in f by 3 to find the value of f(3)

∴ f(3) = 5(3) - 5 = 15 - 5 = 10

∴ f(3) = 10

∵ x = 4

→ Substitute x in f by 4 to find the value of f(4)

∴ f(4) = 5(4) - 5 = 20 - 5 = 15

∴ f(4) = 15

We can rewrite the rational expression (3x² + 5x - 2) / (x - 1) in the form q(x) + r(x) / b(x) as: 3x + 8 + 6 / (x - 1).

To rewrite the rational expression a(x) / b(x) in the form q(x) + r(x) / b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), we can use polynomial long division.

Let's assume a(x) has a degree lower than b(x) or equal to it. If a(x) has a higher degree than b(x), we would need to perform polynomial long division to obtain the quotient q(x) and remainder r(x).

we have the rational expression: (3x² + 5x - 2) / (x - 1).

Divide the leading term of a(x) by the leading term of b(x) to get the first term of the quotient:

3x² / x = 3x.

Multiply the entire divisor (x - 1) by the first term of the quotient (3x):

(3x)(x - 1) = 3x² - 3x.

Subtract the result from step 2 from the original dividend:

(3x² + 5x - 2) - (3x² - 3x) = 8x - 2.

Repeat the process with the remainder (8x - 2) and the divisor (x - 1).

Dividing 8x by x gives 8, so the next term of the quotient is 8.

(8)(x - 1) = 8x - 8.

Subtracting the result from step 4 from the current remainder:

(8x - 2) - (8x - 8) = 6.

At this point, we have a remainder of 6. Since the degree of the remainder (0) is less than the degree of the divisor (1), we can stop the division.

Therefore, we can rewrite the rational expression (3x² + 5x - 2) / (x - 1) in the form q(x) + r(x) / b(x) as:

3x + 8 + 6 / (x - 1).

The quotient q(x) is 3x + 8, and the remainder r(x) is 6, both divided by the divisor b(x) which is (x - 1).

This is the desired form where the degree of r(x) (0) is less than the degree of b(x) (1).

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The question is incomplete the complete question is :

Rewrite simple rational expressions in different forms; write a(x) / b(x) in the form q(x)+r(x) / b(x) , where a(x), b(x), q(x) , and r(x) are polynomials with the degree of r(x) less than the degree of b(x) , using inspection, long division, or, for the more complicated examples, a computer algebra system.

(3x² + 5x - 2) / (x - 1).

Then for any a₁∈A, since A X B ⊆ B X A, there exists a₂∈A and b2∈B such that b₁=a₂ and a₁=b2. Since a₂∈A and b₁=a₂, we have that b1∈A. Since b₁ was arbitrarily chosen, we have that B ⊆A.

In mathematics, a set is simply a collection of distinct objects that form a group. A set can contain any type of group of items, such as a collection of numbers, days of the week, vehicle types, and so on. Every item in the set is referred to as a set element. When writing a set, curly brackets are used.

To prove that A=B, you need to show that A is a subset of B and that B is a subset of A. There is no need to assume that A≠B. We won't be proving this by contradiction.

First, let a1∈A. Then for any b1∈B, since A X B ⊆ B X A, there exists a2∈A and b2∈B such that a1=b2 and b1=a2. Since b2∈B and a1=b2, we have that a1∈B. Since a1 was arbitrarily chosen, we have that A ⊆B.

Second, let b1∈B. Then for any a1∈A, since A X B ⊆ B X A, there exists a2∈A and b2∈B such that b1=a2 and a1=b2. Since a2∈A and b1=a2, we have that b1∈A. Since b1 was arbitrarily chosen, we have that B ⊆A.

Thus we have shown that A=B.

The complete question is given below:-

If A and B are two non-empty sets such that AxB = BxA, show that A=B?

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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