Larry graphs the inequality x less-than negative 5 using the steps below. Step 1: Draw a number line, and place an open circle at –5. A number line going from negative 10 to 0. An open circle is at negative 5. Step 2: Shade to the left of –5 to represent less than –5. A number line going from negative 10 to 0. An open circle is at negative 5. Everything to the left of the circle is shaded. Step 3: Check work by substitution. x = negative 5 Negative 5 less-than negative 5 False Larry concludes that he must have shaded the number line in the wrong direction. Which best describes the situation? Larry’s graph is incorrect. He should have used a closed circle at –5. Larry’s graph is incorrect. He should have shaded to the right of –5 because the numbers less than –5 are to the right of –5. Larry’s graph is correct. He should have checked his work using a number to the left of –5. Larry’s graph is correct. He should have checked his work using a number to the right of –5.

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

2.407407 miles per minute

Step-by-step explanation:

9514 1404 393

Answer:

  A) The slope of f(x) is the amount of change in f(x) when x changes by 1. The slope of g(x) is the coefficient of x. The slope of f(x) is greater than the slope of g(x).

  B) The y-intercept of f(x) is -1. The y-intercept of g(x) is -7. The y-intercept of f(x) is greater.

Step-by-step explanation:

A) The slope of a function is the ratio of the change in function value to the change in input value. For f(x), we can use the convenient inputs 0 and 1 and look at the change in output (f(1) -f(0)) = (3 -(-1)) = 4. The slope of f(x) is 4.

When the function is given by a linear equation, the slope is the coefficient of x. For g(x), the coefficient of x is 2, so the slope of g(x) is 2.

The slope of f(x) (4) is greater than the slope of g(x) (2).

__

B) The y-intercept is the function value for an input of 0. The table shows f(0) = -1. The equation shows g(0) = -7.

The y-intercept of f(x) (-1) is greater than the y-intercept of g(x) (-7).

Answer: a. The independent variable in the equation C(a) = 5a is a. It represents the number of art classes Amir attends.

b. The dependent variable in the equation C(a) = 5a is C(a). It represents the cost Amir incurs as he attends art classes. The dependent variable is dependent on the independent variable because the cost will change as the number of classes attended changes.

Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is equal or less than x. (the sign looks like this:  "\(\leq\)" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

Formula is

\(\\ \rm\Rrightarrow TSA=\pi(r+\ell)\)

Now

\(\\ \rm\Rrightarrow TSA=\pi\left(\dfrac{r}{2}\right)\left(\dfrac{r}{2}+2\ell\right)\)

\(\\ \rm\Rrightarrow TSA=\dfrac{\pi r}{2}\left(\dfrac{r+4\ell}{2}\right)\)

\(\\ \rm\Rrightarrow TSA=\dfrac{\pi r}{2}\times 2\left(\dfrac{r}{4}+\ell\right)\)

\(\\ \rm\Rrightarrow TSA=\pi r(\ell+\dfrac{r}{4})\)

Answer:

x intercept =5 y intercept =0

Step-by-step explanation:

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Option A. The area of the land is approximately 1.54 square kilometers.

To find the area of the trapezoid, we can use the formula:

Area = (1/2) × (a + b) × h

where a and b are the lengths of the parallel sides, and h is the perpendicular distance between them.

Given:

Length of one parallel side (a) = 1.7 kilometers

Length of the other parallel side (b) = 2.4 kilometers

Perpendicular distance (h) = 0.75 kilometers

Plugging in the values into the formula:

Area = (1/2) × (1.7 + 2.4) × 0.75

Calculating the area:

Area = (1/2) × 4.1 × 0.75

Area = 2.05 × 0.75

Area = 1.5375 square kilometers

Rounding to the nearest hundredth:

Area ≈ 1.54 square kilometers

Therefore, the area of the land is approximately 1.54 square kilometers.

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B is not a real number.

Real number are numbers that are rational (1, 2, 3, -7, -10 etc) and irriational (pi, 9.7582, 1/7, etc), and can be virtually any number, aside from imaginary numbers. Square roots consist of the same number squared, for example the square root of 9, is 3 or the square root of 10 is 3.162... Both of which are real numbers.

A.) The square root of 1, is 1. 1 is a real number.

B.) The square root of -4 is imaginary. There is no real number that can be squared to get -4.

C.) The square root of 16 is 4. 4 is a real number.

D.) The square root of 13 is 3.605... 3.605... is a real number.

Thus meaning your answer is B.

I hope this helps!

Answer: 4

Step-by-step explanation:

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

The inequality is X > 0 and a word sentence represent the graph is  X  the graph of a number line with an open circle on zero and an arrow pointing to the right.

The inequality X > 0 represents the graph of a number line with an open circle on zero to left and an arrow pointing to the right. This means that any value of X that is greater than zero is a valid solution for the inequality.

In other words, X can be any positive number, such as 1, 2, 3, and so on. However, X cannot be zero or any negative number, as those values do not satisfy the inequality. Therefore, the word sentence that represents this inequality is "X is greater than zero."

This means that X must be a positive number, and it can be any value that is greater than zero.

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Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

\(P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\\)
This is 25% (for each one, equally)

b) The experimental probability is given by:

\(P(A)= \frac{32}{150} =0.2133\)

\(P(B)= \frac{38}{150} =0.2533\)

\(P(C)= \frac{35}{150} =0.2333\)
\(P(D)= \frac{45}{150} =0.3000\)

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

Answer:

D (We can extend all the expressions)

The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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The requried position of point B on the number line is 1/4 or 0.25.

Since point B represents the number 0.25 on the number line, its position can be described as 0.25 units to the right of 0 or as 0.25 units to the left of 0.5.

Alternatively, we can describe its position as a fraction or mixed number using the length of the number line as the denominator. If the number line extends from 0 to 1, then the position of point B can be expressed as:

B = 0 + 0.25 = 1/4

Therefore, the position of point B on the number line is 1/4 or 0.25.

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The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

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Answer: B

Step-by-step explanation: plz mark me brainliest

Answer:

on which subject.

Step-by-step explanation:

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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It is the last one ...................

Answer:

Roses= $8.4

Daises= $15.6

Step-by-step explanation:

Let represent the daises and let r represent d roses

r + d= 24....equation 1

0.25r + 0.90d= 16.40.......equation 2

r= 25-d

Substitute 25-d for r in equation 2

0.25(25-d) + 0.90d= 16.40

6.25-0.25d+0.90d= 16.40

6.25+0.65d= 16.40

0.65d= 16.40-6.25

0.65d= 10.15

d= 10.15/0.65

d = 15.6

Sub 15.6 for d in equation 1

r+d= 24

r+15.6= 24

r= 24-15.6

= 8.4

Price of daises is $15.6

Roses is $8.4

Answer:

–3

Step-by-step explanation:

5x-3=3(2x+1)+x

5x-3=6x+3+x

So, X to the left and numbers to the right

5x-6x-x=3+3

-2x=6 | :(-2)

x= -3