Below is a graph showing the speed in meters/second of a cheetah s seconds after it starts running.

What interpretation can be made from the y-intercept? ____________.

How can the point (3.0, 12) on the graph above be interpreted? ___________.

What is the output value of this graph when the input value is 5.0? _________.

Does the graph above have a constant rate of change? ____________.

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

There are 20 possible routes that a man could take to go between cities and then take a different route back.

In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.

Let the number of roads between the cities A and B = 5.

The rules of permutation must be used in this situation.

A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.

The man uses five different routes to get from A to B because there are five different routes accessible.

He can get back by 4 (5 1) methods because he needs to take a different route.

Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.

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Answer:

yes

Step-by-step explanation:

opo

Answer:

The average cost is 4400

Step-by-step explanation:

c=800+40x

where x=number of items

c=800+4x;when x=90

c=800+40(90)

c=800+3600

c=4400

Answer:

4400

Step-by-step explanation:

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

The value of x that makes sense for the expression is the domain of the expression
The value of x makes sense for √-2x² is 0
The value of x must not exceed 0 for  √(-2x)³ to make sense

What is Angle Sum Property?

The sum of all angles of a triangle is equal to the angle of a straight line i.e. 180°. If we have a triangle ABC, then the Sum of angles A , B, and angle C will be 180 ° and the value of the exterior angle is equal to the sum of two interior opposite angles.

√-2x²

For the above expression to have a defined value, the expression in the bracket must be positive.

However, x² will always be positive, and -2 will ensure that the expression is always negative, except when x = 0

Hence, the value of x makes sense for √-2x² is 0.

√(-2x)³

For the above expression to have a defined value, the expression in the square root must be positive.

However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0

Hence, the value of x must not exceed 0 for √(-2x)³ to make sense.

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Answer:

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

You start at the origin which is the very middle of where the x and y axis cross.  The first number tells you to go right 3 spaces and the second number tells you to go 2 spaces.

The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars

From the question, we have the following table of values that can be used in our computation:

Planet      Length of one day (hours)

Earth                24

Mars                25

Saturn               11

Also, we have

Number of hours on Saturn = 1100

So, we can represent the table of values as a ratio

Earth : Mars : Saturn = 24 : 25 : 11

Substitute Number of hours on Saturn = 1100 in the ratio

Earth : Mars : 1100 = 24 : 25 : 11

Multiply the ratio by 100

So, we have

Earth : Mars : 1100 = 2400 : 2500 : 1100

This means that

Earth = 2400 hours

Mars = 2500 hours

Divide by 24 and 25

Earth = 100 days

Mars = 100 days

Hence, the number of days on Earth is 100 days

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The number of days that are equal to 1,100 hours on Saturn is given as follows:

100 days.

A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.

The length of one day in Saturn, from the table, is given as follows:

11 hours.

Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:

1 day - 11 hours

x days - 1100 hours.

Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:

11x = 1100

x = 1100/11

x = 100 days.

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#1

From the given figure

Triangle MEN congruent to triangle YOB

That means

Since

The sum of the measure of the angles in a triangle is 180 degrees

Then to find m\(\begin{gathered} \angle M=180^{\circ}-\angle N-\angle E \\ \angle M=x-7 \\ \angle N=90 \\ \angle E=40 \\ x-7=180-90-40 \\ x-7=50 \end{gathered}\)Add 7 to both sides

The value of x is 57

The slope of the line that passes through the points (7,-4) and (11,-4) is 0.

The slope of a line is found by using the formula:

slope = (change in y)/(change in x)

To find the change in y, subtract the y-coordinate of one point from the y-coordinate of the other point:

-4 - (-4) = 0

To find the change in x, subtract the x-coordinate of one point from the x-coordinate of the other point:

11 - 7 = 4

Now we can use the formula to find the slope:

slope = 0/4 = 0

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Answer:

Step-by-step explanation:

Solve:

       \(\rule{250}{2}\)

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

    Solve 2=2+g/4

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

When solving an equation, we need to make sure all variables are on the left-hand side, and all numbers are on the right.

Since we have numbers on both sides, we need to move them to one side, as follows:-

\(\Longrightarrow\sf{2-2=g/4}\)

\(\longrightarrow\sf{0=g/4}\)

Now, we multiply by 4 on both sides to get rid of the fraction:-

\(\longrightarrow\sf{0\times4=g/4\times4}\)

\(\longrightarrow\sf{0=g}\)

So we conclude that g=0.

\(\rule{300}{3}\)

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.

Hence, Option (B) is correct.

Since, We know that,

A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.

The opposite angles of a cyclic quadrilateral have a total of 180°.

Hence, We can formulate;

m ∠ABC +  m ∠ADC  = 180°

m ∠ABC + 94° = 180°

m ∠ABC = 180° - 94°

m ∠ABC = 86°

Similarly, one can find m∠DCB

m∠DAB +  m∠DCB  = 180°

99° + m∠DCB = 180°

m∠DCB = 180° - 99°

m∠DCB = 81°

Hence, m∠ABC = 86°

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Both E and F are sets.

E = {w | w ≤ 2}

means that E is the set of all numbers w satisfying the condition that w ≤ 2. In other words, E contains all real numbers less than and including 2.

Similarly,

F = {w | w > 9}

is the set of all real numbers strictly greater than 9.

The intersection of E and F, denoted E ∩ F, is the set that contains the overlap of the two sets, or all the numbers that are common to both sets. In this case, E ∩ F is the empty set; this is because all numbers small than 2 cannot be larger than 9, so E ∩ F = ∅.

The union of E and F, written as E ∪ F, is the set containing all elements from both sets. In interval notation, E = (-∞, 2] and F = (9, ∞), so E ∪ F = (-∞, 2] ∪ (9, ∞).

Answer:

20 m

Step-by-step explanation:

Answer

b: 2.5

Step-by-step explanation:

because my dad said so

Answer: what must be found exactly by the given?

Step-by-step explanation:

  28

4/112

    8

  === -

    32

    32

  === -

    0

Answer:

true

false

true

false

Step-by-step explanation:

B) should be 3/5

D) should be 4/5

if it is unclear or you need more explanation, ask freely.

Prof. Salaam spends approximately $1,430 money on coffee every year.

Understanding the distinction between Operators and Operands will be made easier if we are aware of the differences between and purposes for Numbers/Values, Symbols, and Functions. Understanding mathematical operations will be aided by being aware of the distinction between Operators and Operands as well as their function.

Addition, subtraction, multiplication, and division are the operators. As opposed to this, an operand is a NUMBER or VALUE to which a function will be applied.

The total amount of money her spends per week is:

5 (weekday) + 3 * 6.5 (weekend) = $27.5

In a month there are 52 weeks thus:

27.5 * 52 = $1,430

Therefore, Prof. Salaam spends approximately $1,430 on coffee every year.

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Step-by-step explanation:

the answer would be 4 glasses of water

The functions can be simplified and ordered as follows (from smallest to largest):

1. O(1) = constant functions

2. O(log n) = logarithmic functions

3. O(√n) = square root functions

4. O(n log n) = log-linear functions

5. O(n²) = quadratic functions

6. O(n² / log n) = "quasi-quadratic" functions

This is a description of the concept of big-O notation and asymptotic analysis in computer science. Big-O notation is used to describe the upper bound of the growth rate of a function. It provides a way to classify functions based on how quickly they grow relative to the input size. Asymptotic analysis, on the other hand, is the study of the behavior of functions as the input size approaches infinity.

The purpose of this analysis is to determine which algorithms are the most efficient for a given problem. By understanding the asymptotic behavior of functions, we can make informed decisions about the trade-offs between different algorithms and choose the one that is best suited for a particular problem.

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Answer:

12 in each bouquet, 32 left over

Step-by-step explanation:

You can solve this my long division where remainder is 32. Or you can reason this, since 50 is an even number, the total must be _00 or _50. The largest is 600. so 600/50 is 12, that means 632-600 is 32 roses left

Given: The equation below

To Determine: The slope of the line that is parallel to the graph of the given equation

Solution

Please note that two lines are parallel if their slopes are equal. Therefore, a line that is parallel to the given equation would have the same slope to the given

The slope can calculated as shown below

Hence, the slope of a line parallel to the graph of 5x + 4y = 6 is - 5/4

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

what help you need in this question

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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