The function g(x) is graphed.

On a coordinate plane, a curved line enters the plane at point (negative 2.3, 5), crosses the x- and y-axis at (0, 0), and leaves the plane at point (2.3, 5).

On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0).
Which is true regarding the graphed function f(x)?

f of 0 = 3
f of 5 = negative 1
f of 3 = 2
f of 2 = negative 2

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer: Could you take a pic of the sheet because there is no sign ( x, +, etc.)

Step-by-step explanation:

Answer:

Parabola

Step-by-step explanation:

A conic section is a curve obtained by the intersection of a plane with the surface of a (double-napped) cone, When the plane is parallel to the edge of one cone.

Thus, The intersection is a parabola.

Answer: degenerate hyperbola

Step-by-step explanation:

degenerate hyperbola because its the thickest of the plane so it can be formed.

A negative exponent in the numerator is equivalent to the same exponent but positive in the denominator.

Then, we have:

Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

A graph that best represents these ordered pairs is: C. Graph C.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:

Since the values on the x-coordinate (abscissa) increases by 1/2 and the values on the y-coordinate (ordinate) increases by 1, the most appropriate scale 0.5:1, which is best represented by the data points in graph C.

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The missing data values of the linear function are: B. missing x: 0 missing y:1

The equation, y = mx + b represents a linear function, where m is the slope and b is the y-intercept of the function.

Find the slope using two given pairs of points from the table, (-9, 3) and (-6, 2):

Slope (m) = change in y/change in x = (3 - 2)/(-9 -(-6))

Slope (m) = 1/-3 = -1/3.

Find b by substituting (x, y) = (-9, 3) and m = -1/3 into y = mx + b:

3 = -1/3(-9) + b

3 = 3 + b

3 - 3 = b

0 = b

b = 0

Plug in m = -1/3 and b = 0 into y = mx + b

y = -1/3x

Use the equation to find the missing data values:

When y = 0, x would be:

0 = -1/3x

x = 0

When x = -3, y would be:

y = -1/3(-3)

y = 1

The missing data values are: B. missing x: 0 missing y:1

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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C) 52 feet

Explanation:

Since the deck will be 14 feet by 12 feet and it has four sides, we can deduce that it's a rectangle.

Therefore all you need to do is sum up all the sides together

14 + 14 + 12 + 12 => 14 * 2 + 12 * 2 = 52 feet

The expression that simplifies to 100 by arranging digits from 1 to 7 is \(26\times 3\ + \ 7\times 4 \ -5 \ -1\)

The given digits include;

1, 2, 3, 4, 5, 6, 7

To form an expression that simplifies to 100:

This expression is formed as follows;

\(26\times 3\ + \ 7\times 4 \ -5 \ -1\)

The above expression can be simplified to 100 as follows;

\((26\times 3)\ + \ (7\times 4) \ -(5) \ -(1) \\\\= (78) + (28) - (6)\\\\= 106 - 6\\\\= 100\)

Thus, the expression that simplifies to 100 by arranging digits from 1 to 7 is \(26\times 3\ + \ 7\times 4 \ -5 \ -1\)

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Answer:

0.93319

Step-by-step explanation:

We solve the question using the z score formula

z = (x-μ)/σ/√n where

x is the raw score = 17.2 lbs

μ is the population mean = 19 lbs

σ is the population standard deviation = 6

n is the random number of samples = 25 fishes

Greater than sign = >

For x > 17.2 lbs

z = 17.2 - 19/6/√25

z = 17.2 - 19/ 6/5

z = 17.2 - 19/1.2

z = -1.5

Probability value from Z-Table:

P(x<17.2) = 0.066807

P(x>17.2) = 1 - P(x<17.2)

P(x>17.2) = 1 - 0.066807

P(x>17.2) = 0.93319

Therefore, that the probability that the mean weight will be greater than 17.2 lbs is 0.93319

An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).

The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.

In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.

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SOLUTION:

Case: Measure of central tendency

Method:

1. The Mean

2. The Median

The position of the median (middle) number of children per family is 15th.

The median= 4 per family

3. The mode.

The family with the highest number of children occurs 9 times.

The highest number has 3 children per family

Final answer:

The mean = 3.867 children per family

The median= 4 children per family

The mode= 3 children per family

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Answer:

the answer is false

Step-by-step explanation:

comment if you want explanation

Answer:

True

Step-by-step explanation:

When using the formulas to find the surface area, both have equal surface area

As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is  sin A = 3/5.

As given in the question,

In triangle ABC,

∠C  = 90°

Side a is opposite to angle A

c is the hypotenuse opposite to angle C

a = 6

c = 10

sin A = ( opposite side) / Hypotenuse

⇒sin A = a/c

⇒sin A = 6/10

⇒sin A = 3/5

Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.

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Option D is the correct synthetic division of (x^2-4x+7) divided by (x-2)

Synthetic division is a shorthand procedure used to divide a polynomial by a linear factor of (x - a) form, in which "a" is constant. This method gives an expedient way to locate the quotient and remainder without carrying out long division.

x - 2 | x^2 - 4x + 7

            x^2 - 2x

           ---------

                 -2x + 7

                 -2x + 4

                 -------

                        3

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9514 1404 393

Answer:

  about 33.4°

Step-by-step explanation:

There are many ways to work this problem. A solution using a geometry program is shown in the attachment. The ship must turn about 33.4° to the north.

__

Another way to work this is to redraw the diagram so the initial starting point is left of the origin on the x-axis. Then the ship's direction can be considered to be straight to the right along the x-axis. The origin is the ship's turning point. The ship's destination can be considered to be 350∠22° from the initial position of the ship. The location of that destination relative to the origin represents the turn the ship must make.

At 18 mph for 7 h, the ship has traveled 126 miles.

Using the above method, the ship's destination relative to the origin is ...

  (-126, 0) +(350)(cos(22°), sin(22°)) = (198.514, 131.112)

Then the angle the ship must turn is ...

  arctan(131.112/198.514) ≈ 33.44°

The ship must turn about 33.4° to the north to head directly to Barcelona.

The measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

When a transversal line cuts a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠4 + 60° + 61° = 180° {supplementary angles}

m∠4 + 121° = 180°

m∠4 = 180° - 121° {subtract 121° from both sides}

m∠4 = 59°.

Therefore, the measure of the angle m∠4 which forms a straight line angle with the angles 60° and 61° along the line Q is equal to 59°

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Answer:3hk - 12.4h

Step-by-step explanation:

h(3k-12.4)

h x 3k - h x 12.4

3hk - 12.4h

Answer:

Step-by-step explanation:

This is best read on the number line.

Look at the picture.

\(-\dfrac{17}{2}=-8\dfrac{1}{2}=-8.5\)

Answer:

first term (a)=-2

common difference (d)=8

Now,

87th term=a+(n-1)d

=-2+(87-1)×8

=-2+86×8

=-2+688

=686

Answer:

D

Step-by-step explanation:

Answer:

Sine, cosine and tangent formulas are used in RIGHT triangles. So you have one 90 degree angle and two acute angles that add up to 90 degrees (they are complimentary). So the cosine of one angle would be the same as the sine of the compliment to that angle... and vice versa. To answer this question, sin 81 = cos 9, since 81 and 9 are the two acute angles of the triangle and they both add up to 90 degrees. "Cos 9" is the answer when you wish to write "sin 81" in terms of "cosine."

Please give me brainiest

sine 81 degrees in terms of cosine is cos 9°

sin 81°

The angle is less than 90 degrees.it is an acute angle. Therefore, its in the first quadrant. The first quadrant, sine, cosine and tangent are positive.

sin 81° is less than 90 degree. Therefore, let's express them in terms of a cofunction.

Therefore,

sin x = cos(90 - x)

sin 81 = cos(90 - 81)

Therefore,

sin 81° = cos 9°

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Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles