find the net change in the value of the function between the given inputs. f(x) = 6x − 5; from 1 to 6

Assuming that x ≥ 0 and y ≥ 0, the situation is infeasible: True.

In Mathematics, these rules are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a coordinate plane:

In this context, we can logically deduce that the given system of inequalities 5x+3y ≤ 15 and y ≥ 6 would not have a feasible solution set if they are subjected to x ≥ 0 and y ≥ 0:

Assuming the ordered pair (1, 2), we have:

y ≥ 6

2 ≥ 6 (False).

5x+3y ≤ 15

5(1) +3(2) ≤ 15

5 + 6 ≤ 15

11 ≤ 15 (True).

Therefore, it is not a feasible solution.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

There were 248 adult tickets and 248 kid tickets.

Step-by-step explanation:

a = number of adult tickets

k = number of kid tickets

a + k = 524                                 10a + 5k = 3860

Multiply the equation on the right all the way through by -5 so that we can eliminate the k's when we add the equations together.

-5(a+ K) = 524(-5)

-5a - 5k = -2620

Add the two equations together:

-5a - 5k = -2620

10a + 5K = 3860

5a           = 1240  Divide both sides by 5

a = 248  There are 248 adult tickets.  Plug in 248 for a in either of the original equations.

a + k = 524

248 + k = 524  Subtract 248 from 524 to find the number of kid tickets.

There are 276 kid tickets.

Check:

Plug in 276 for k and 248 for adult to both equations to see if they work

a + k = 524

248 + 276 = 524

524 = 524

10a + 5k = 3860

10(248) + 5(276) = 3860

2480 + 1380 = 3860

38060 = 3860

the effective annual growth rate is 6.79% per year.

For each of the scenarios described, we can calculate the effective annual growth rate as follows:

A quantity's size after t years is given by A(t) = (1.075)^t. Its effective growth rate is % per year.

To find the effective annual growth rate, we need to solve the equation (1 + r)^1 = 1.075, where r is the annual growth rate.

Solving for r, we have r = 0.075 or 7.5%.

Therefore, the effective annual growth rate is 7.5% per year.

A quantity shrinks at a continuous rate of 33% per year. Its effective growth rate is % per year.

Since the quantity is shrinking, the effective growth rate will be negative.

The effective annual growth rate can be calculated as -33%.

Therefore, the effective annual growth rate is -33% per year.

A quantity grows at a rate of 17.5% compounded monthly. Its effective growth rate is % per year.

To find the effective annual growth rate, we can convert the monthly growth rate to an annual rate using the formula:

(1 + r)^12 = 1 + 0.175

Solving for r, we have r = 0.1619 or 16.19%.

Therefore, the effective annual growth rate is 16.19% per year.

A quantity has a half-life of 11 years. Its effective annual growth rate is % per year.

The half-life of a quantity is the time it takes for the quantity to reduce to half of its initial value.

To find the effective annual growth rate, we can use the formula:

(1 + r)^11 = 0.5

Solving for r, we have r = -0.0608 or -6.08%.

Therefore, the effective annual growth rate is -6.08% per year.

A quantity has a tripling time of 15 years. Its effective annual growth rate is % per year.

The tripling time is the time it takes for the quantity to triple its initial value.

To find the effective annual growth rate, we can use the formula:

(1 + r)^15 = 3

Solving for r, we have r = 0.0679 or 6.79%.

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Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

Answer:

b

Step-by-step explanation:

because there is no period and there is another sentence and thought,

Answer:

B is a run-on Sentence

Step-by-step explanation:

The reason is because there isn't any transfer words that "ends" the sentence

For A it ends with a comma and so

For C it ends with a period

For D it ends with a semicolon thus all three are correct except for B

Hope this Help!

Answer:

8736

Step-by-step explanation:

The LCM of 156 and 224

First find the highest common factor between the two number

156 = 4 * 39

224 = 4 * 56

Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.

As such, the LCM of 156 and 224

= 4 * 39 * 56

= 8736

Answer:

8736

Step-by-step explanation:

The LCM of 156 and 224

First find the highest common factor between the two number

156 = 4 * 39

224 = 4 * 56

Since 4 is the highest common factor between both numbers, the LCM of 156 and 224 will be the product of the highest common factor and the other multiples that are left when the numbers are divided by the highest common factor.

As such, the LCM of 156 and 224

= 4 * 39 * 56

= 8736

9.49$

Step-by-step explanation:

the car went 25 meters in 1 second.

that creates this ratio 25 m/s or

formally fully correct 25/1 m/s.

to get the speed in km/h we need to bring the denominator of that ratio from 1 second to 1 hour.

we do that by multiplying it by 3600, as there are 3600 second in 1 hour.

to keep the overall value of the ratio we need to multiply also the numerator with the same factor.

so,

25/1 × 3600/3600 = (25×3600)/3600 =

= 90000 meters /1 hour

how many km (kilometers) are 90000 meters ?

1 km = 1000 m

so,

90000 m = 90000/1000 km = 90 km

therefore, or full answer is

the car's speed was 90 km/h.

The scale factor used to produce Figure 2 from Figure 1 is: 7/3. The correct option is 1.

A scale factor is a number in mathematics that scales or multiplies some quantity.

The scale factor in geometry refers to the ratio of the lengths of two corresponding sides of two similar geometric figures.

The scale factor is the ratio of two similar figures' corresponding sides. The two triangles in this case are similar because they have the same shape but different sizes.

Figure 2's legs are 7 units long, which is 7/3 the length of Figure 1's legs, which are 3 units long.

Thus, the scale factor used to generate Figure 2 from Figure 1 is 7/3.

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Step-by-step explanation:

13 cups = ? pints

there are 2 cups per pint so:

13/2 = 6.5

13 cups = 6.5 or \(6\frac{1}{2}\) pints

Answer:

The volume of the pyramid is 80 cubic centimeters.

Step-by-step explanation:

As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.

Answer:

80 cubic centimetres

Step-by-step explanation:

The volume of a rectangular prism is given by V = lwh, where l is the length, w is the width, and h is the height.

Here, we know that the prism's volume is 240, so lwh = 240.

The volume of a rectangular pyramid is denoted by V = (1/3) * lwh, where l is the length of the rectangular base, w is the width of the rectangular base, and h is the height.

We know that the length, width, and height of the pyramid are the same as those of the prism, so we want to simply find V = (1/3) * lwh. From the prism, we see that lwh = 240, so plug that in:

V = (1/3) * lwh

V = (1/3) * 240 = 80

The answer is thus 80 cubic centimetres.

~ an aesthetics lover

Answer:

y=$35

Step-by-step explanation:

y= total number in your account

x= # of weeks

y=5x + 20

y=10x + 5

x=3 weeks

Answer:

2.666666666666666666666666 ( repeating decimal )

Step-by-step explanation:

It says a 45 foot slide casts a 30 foot shadow.

We notice that 30 is exactly 2 / 3 of 45.

A easier way to notice that is like 30 + (half of 30 which is 15)

so 30 + 15 is 45 which is exactly the height of the water slide.

The we take the 4 foot child. It is 4 foot.

Then we do 4 times 2 / 3 which we got earlier.

which will be 2.66666666666666666666666666666666666

repeating decimal don't know how to write it here

Answer:

x = 5.75ft/2.3ft

Step-by-Step:

34ft/13 \(\frac{3}{5}\)   =  5.75ft/x

34x = 13 3/5 · 5.75

34x ÷ 34 = 78.2 ÷ 34

34ft/13 3/5ft = 5.75ft/2.3ft

The probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

To find the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18%, we need to use the normal distribution and the standard normal table. A standard normal table or a z-table is a table that contains the area to the left of z-score on its left tail (to the left of the mean) and represents the normal distribution.

For instance, the area between z=0 and z=1.5 is 0.4332. It shows how likely an event is to occur. The formula to calculate the sample proportion is: sample proportion = (number of favorable outcomes) / (total number of possible outcomes) We can write this as: p = X / N where, p = sample proportion X = number of favorable outcomes N = total number of possible outcomes Now, let's calculate the sample proportion of orange candies: Sample proportion = (number of orange candies) / (total number of candies)= 80 / 500= 0.16 (rounded to two decimal places)

Next, let's calculate the standard deviation of the sample proportion: Standard deviation of sample proportion = √ [ ( p × q ) / n ]where, p = sample proportion  q = 1 - p (probability of failure)n = sample size In this case, p = 0.16q = 0.84n = 500Standard deviation of sample proportion = √ [ ( 0.16 × 0.84 ) / 500 ]= 0.024 (rounded to three decimal places) Now, let's calculate the z-scores for 16% and 18%:z1 = (x1 - μ) / σz1 = (0.16 - 0.20) / 0.024z1 = -1.67 (rounded to two decimal places)z2 = (x2 - μ) / σz2 = (0.18 - 0.20) / 0.024z2 = -0.83 (rounded to two decimal places) Finally, let's look up the areas for these z-scores in the standard normal table:  Area to the left of z1 = 0.0475Area to the left of z2 = 0.2023.

Therefore, the probability that the proportion of orange candy in this sample (a sample proportion) is between 16% and 18% is:0.2023 - 0.0475= 0.1548 (rounded to four decimal places)Hence, the required probability is 0.1548.

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The circumference of the circle whose diameter is 3cm is  9.42 cm

For a circle of diameter D, the circumference is given by the formula:

C = pi*D

Where pi = 3.14

On the diagram, we can see that the diameter of the circle is 3 centimeters, then we can replace that in the formula above to get the circumference:

C = 3.14*3cm

C = 9.42 cm

The circumference is 9.42cm

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Answer:

9.42 cm

Step-by-step explanation:

π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14. Pi is an irrational number, meaning that it cannot be expressed as a finite decimal or fraction. Instead, its decimal representation goes on forever without repeating. Pi has endless applications in mathematics and science, from calculating the area and perimeter of circles to modeling natural phenomena such as ocean waves and the stock market. Despite its infinite nature, pi remains one of the most important and fascinating mathematical constants in the world.

Answer:6(17/21)

Step-by-step explanation:13/7*11/3

=143/21

=6(17/21)

To compute the impulse response of the given system using time-domain techniques, we need to find the response of the system to an impulse input.

The impulse response represents the output of the system when an impulse function is applied as the input.

The given system can be represented by the differential equation:

d²y/dt² + 2dy/dt + y(t) = 2dx/dt

To find the impulse response, we consider an impulse input, which can be represented as a Dirac delta function, δ(t). When an impulse input is applied to the system, the differential equation becomes:

d²y/dt² + 2dy/dt + y(t) = 2δ(t)

To solve this equation, we can use the method of Laplace transforms. Taking the Laplace transform of both sides of the equation, we get:

s²Y(s) + 2sY(s) + Y(s) = 2

Simplifying and rearranging, we obtain the expression for the Laplace transform of the impulse response:

Y(s) = 2 / (s² + 2s + 1)

To find the impulse response in the time domain, we need to inverse Laplace transform the expression above. The inverse Laplace transform of Y(s) will give us the impulse response of the system.

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Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

O sin(0.0005) ≈ 0.0005. The line tangent to the graph of f(x) = sin x at (0,0) is y = x.

The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). This means that the point (0,0) is on the line y = x and the slope of the line y = x is equal to the derivative of the function f(x) = sin x evaluated at x = 0. The slope of the line y = x is 1, so the derivative of f(x) = sin x evaluated at x = 0 is 1.

The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. This is because the first derivative of sin x evaluated at x = 0 is 1, which is the same as the slope of the line y = x. Therefore, the tangent line to the graph of f(x) = sin x at (0,0) is y = x.

Finally, O sin(0.0005) ≈ 0.0005. This is because sin x is approximately equal to x for small values of x. When x = 0.0005, sin x is approximately equal to 0.0005. Therefore, O sin(0.0005) ≈ 0.0005.

In summary, the line tangent to the graph of f(x) = sin x at (0,0) is y = x. The line y = x touches the graph of f(x) = sin x at exactly one point, (0,0). The line y = x is the best straight line approximation to the graph of f(x) = sin x for x near 0. O sin(0.0005) ≈ 0.0005.

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\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

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Answer:

One equation to set up is 5x+6 = 16

That equation solves to x = 2

You bought 2 binders

==================================================

Explanation:

x = number of binders

5x = cost of all the binders only ($5 each)

2*3 = 6 = cost of all 3 notebooks only ($2 each)

5x+6 = total cost of the 3 notebooks and x binders

5x+6 = 16 is one possible equation to set up

Other equations are possible.

------------

Let's solve for x.

5x+6 = 16

5x = 16-6 ... subtracted 6 from both sides

5x = 10

x = 10/5 .... divided both sides by 5

x = 2

You bought 2 binders

-------------

Check:

1 binder = $5

2 binders = 2*5 = $10

Add this onto the $6 spent on the notebooks to get 10+6 = 16 dollars total. The answer is confirmed.

Answer:

2 binders

Step-by-step explanation:

3(2)+x=16

6+x=16

x=10

binders are $5 each

2 binders

Answer:

m∠B = 121

m∠C = 59

Step-by-step explanation:

Angle B:

\((10x - 19) = (7x+23)\\10x+(- 19+19) = 7x+(23+19)\\10x=7x+42\\(10x-7x) = (7x-7x)+42\\3x = 42\\3x/3 = 42/3\\x = 14\)

10(14)-19 = 140-19 = 121

Angle C:

(121)2 = 242

360-242 = 118

118/2 = 59

Answer:

Step-by-step explanation:

Opposite angles of the parallelogram are congruent:

Find the angle B:

Adjacent angles of the parallelogram are supplementary:

Answer:

36° and 54°

Step-by-step explanation:

Complementary angles are angles whose sum equals to 90°

Hence C +D = 90°

The ratio of C &D = 2:3 respectively

Sum of the ratio = 2+3 = 5

Hence we divide each of the ratio by the sum of the entire ratio and then multiply by 90°

For angle C :

2/5 × 90

2×18 = 36°

For angle D :

3/5× 90

3×18 = 54°

Hence the angles are 36° and 54° respectively

To proof that we are actually right

C+D = 90°

36+54 = 90°

Hence the answer is right.

Hey there!

Formula: c = √a^2 + b^2

YOUR EQUATION:

c = √(91^2 + 60^2)

c = √(91 * 91 + 60 * 60)

c = √(8,281 + 3,600)

c = √(11,881)

c ≈ 109

Therefore, your answer should be: 109

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The first airplane's rate is 690 kilometers per hour. The second airplane's rate is 703.4 kilometers per hour. The second airplane's flying rate is greater, witch means it flies faster.

Step-by-step explanation:

Answer:

\(y = \frac{5}{4}x\)

Step-by-step explanation:

1. The slope-intercept form of a linear equation is y = mx + b! Y is the y-coordinate, is the slope, x is the x-coordinate, and b is the y-intercept.

2. To find the slope, let's take any two points from the line, such as (0,0) and (400,500), and plug their values into this formula: \(\frac{y_2-y_1}{x_2-x_1}\)

3. The slope is 5/4, so the equations looks like this so far: \(y=\frac{5}{4}x + 0\)

4. Because b is the y-intercept, b = 0 because the line intersects with the y-axis at (0,0).

5. Now that we have our slope (5/4) and y-intercept (0), we plug in those values to the slope-intercept form and get the equation of: \(y= \frac{5}{4}x\)

The amount it would cost to paint the outside of the box is £208

From the question, we are to determine calculate how much it would cost to paint the outside of the box

To do this, we will calculate the surface area of the box

The surface area of a box is given by

S.A = 2(lw + lh + wh)

Where S.A is the surface area

l is the length

w is the width

and h is the height  

From the given information,

l = 10 cm

w = 80 cm

h = 20 cm

Thus,

S.A = 2(10×80 + 10×20 + 80×20)

S.A = 2(800 + 200 + 1600)

S.A = 2(2600)

S.A = 5200 cm²

Also, from the given information

The paint costs £0.04 per cm2

Thus,

The cost is £0.04 × 5200

= £208

Hence, the cost is £208

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Answer:

1.6 pages

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Sorry, I can't really explain this, but I hope this helps!