5 poin
Only two serve attempts are allowed, except in the event of a let (the ball
touches the net on the serve and lands in the proper service court; let
serves are replayed).
True
False

Exponents indicate the operation of raising power.

0.0047 is less than 4 so,

4.7 x \(10^{-3}\)   <  2² is our answer.

The symbol written above and to the right of a mathematical expression indicating the operation of raising power is called exponents.

Example:

a² and b³

2 and 3 are exponents.

We have,

4.7 x \(10^{-3}\)

\(10^{-3}\) can be written as 1/ 10³ so,

= 4.7 x 1/10³

= 47/10 x 1/10³

= 47 / 10 x 10³

= 47 / \(10^{4}\)

= 47 / 10000

= 0.0047

2² = 2 x 2 = 4

We see that

0.0047 is less than 4

So,

4.7 x \(10^{-3}\)  is less than 2²

Thus,

4.7 x \(10^{-3}\)  < 2²

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Answer:

0.0792therms/hour

Step-by-step explanation:

Given

Total output per month = 57 therm of output

Required

Total output of the pellet stove in one hour

Since 1month = 24×30 = 720hours

Hence:

57therms = 720hours

x therm = 1hour

Cross multiply

720×x = 57

x = 57/720

x = 0.0792 therms/hr

Hence the pellet stove use 0.0792therms/hour

If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

There ya go, good luck,,,,

Answer: 4 year difference

Step-by-step explanation: 4 year difference

The graph demonstrates that local producers will provide 8,000 tonnes of apricots at the global price of $400 per tonne.

A graph is a visual representation of data that's frequently used to demonstrate how variables relate to one another or to show how trends change over time. Graphs can come in many various forms, including line graphs, bar graphs, pie charts, scatter plots, and more. Graphs are frequently used to simplify the presentation of complicated data in disciplines like economics, mathematics, science, and the social sciences.

given

The graph indicates that the cost of apricots in the globe is $400 per tonne. In the absence of the quota, the US would purchase 5,000 tonnes of apricots at the market rate. The United States will only be permitted to acquire 3,000 tonnes of apricots under the quota, though.

As a result of this quota, the United States will purchase 3,000 tonnes of apricots at the world price.

The graph demonstrates that local producers will provide 8,000 tonnes of apricots at the global price of $400 per tonne.

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Answer:

∠ACB is a right angle

Graph:

Answer:

The fish depend on tiny organisms and/or plankton.

Step-by-step explanation:

A. The properties of parallelogram involving slope is the slope of opposite sides of parallelogram are equal as the lines are parallel. Hence, the vertices ABCD form a parallelogram.

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.

A. The properties of parallelogram involving slope is the slope of opposite sides of parallelogram are equal as the lines are parallel.

B. The opposite sides of the parallelogram are parallel and equal, and their slopes are equal.

C. The given vertices of a parallelogram are:

A(-2, 0), B(0, 9), C(2, 0) and D(0, -9).

Calculate the slope of segment AB and CD.

The slope is given as:

m = (y2 - y1) / (x2 - x1)

For AB:

m = (9 - 0) / (0 + 2) = 9/2

For CD:

m = (-9 - 0) / (0 - 2) = 9/2

Since the slopes of the segments AB and CD are equal the two lines are parallel to each other. Hence, the vertices ABCD form a parallelogram.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

-1 is not in the domain of (f o g)(x)

Step-by-step explanation:

f(x) = sqrt(x - 9)

g(x) = -6x - 3

(f o g)(x) = f(g(x)) = sqrt(g(x) - 9)

(f o g)(x) = sqrt(-6x - 3 - 9)

(f o g)(x) = sqrt(-6x - 12)

Let x = -1:

(f o g)(-1) = sqrt(-6(-1) - 12)

(f o g)(-1) = sqrt(6 - 12)

(f o g)(-1) = sqrt(-6)

Since sqrt(-6) is not a real number, -1 is not in the domain of (f o g)(x).

Answer:-15 13/15

Step-by-step explanation:2 4/5× -5 2/3=14/5 ×-17/3=-238/15

Answer:

C).

\(= \sqrt{ {16}^{2} + {30}^{2} } \\ = \sqrt{1156} \\ = 34 \\= \sqrt{ {34}^{2} + {5}^{2} } \\ = \sqrt{1181} \\ = 34.37\)

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The sequence of transformations that maps triangle PQR onto triangle P'Q'R' is: a dilation with center (0, 0), a scale factor 2, and a reflection across the y-axis.

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 2 centered at the origin as follows:

Ordered pair P (-1, 1) → Ordered pair P' (-1 × 2, 1 × 2) = Ordered pair P' (-2, 2).

After a reflection over the y-axis, we have:

Ordered pair P' (-2, 2) → Ordered pair P' (-(-2), 2) = (2, 2)

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

208.1

Step-by-step explanation:

Delta math

Answer:

f(x) = |x-2| + 10

Step-by-step explanation:

Answer:

  100

Step-by-step explanation:

When ...

  x -15 = 30

we can find the value of x by adding 15 to both sides of the equation:

  x = 45

To find the value of 2(x +5), we can substitute 45 for x:

  2(x +5) = 2(45 +5) = 2(50)

  2(x +5) = 100

_____

Alternate solution

Adding 20 to both sides of the first equation gives the value of x+5.

  (x -15) +20 = (30) +20

  x +5 = 50

The second expression is double this value:

  2(x +5) = 2(50) = 100

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.

don't thank me

Step-by-step explanation:

Desmos

use Desmos

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

1.8

Step-by-step explanation:

9.54 ÷ 5.3

95.4 ÷ 53 = 1.8

Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

According to the given graph the correct option that justify it to follow horizontal asymptote concept is option A, C and D.

Define graph property:

In mathematics, a graph is a set of points, called vertices or nodes, that are connected by lines or curves, called edges or arcs. Graphs are used to represent mathematical relationships between objects, data, or concepts. They are a fundamental tool in many fields, including computer science, economics, engineering, social sciences, and more.

Graphs can be represented in a variety of ways, such as a drawing on a piece of paper or a computer screen, or as a mathematical abstraction. Graphs can be directed or undirected, weighted or unweighted, simple or multigraphs, and can have various structures, such as trees, cycles, or complete graphs. They are often used to model networks, such as transportation systems, social networks, or the internet.

What about asymptote?

In mathematics, an asymptote is a straight or curved line that a curve approaches but never touches. In other words, as the curve moves along the x and/or y axis, it gets closer and closer to the asymptote, but never intersects it. Asymptotes are often found in functions that have horizontal or vertical limits that approach infinity or negative infinity.

There are several types of asymptotes, including horizontal, vertical, and slant asymptotes. A horizontal asymptote is a line that the curve approaches as x tends to infinity or negative infinity. A vertical asymptote is a vertical line that the curve approaches as x approaches a certain value, but does not cross. A slant asymptote is a diagonal line that the curve approaches as x tends to infinity or negative infinity, and the degree of the polynomial in the numerator is one more than the degree of the polynomial in the denominator.

According to the given information:

According to the graph f(x) and g(x) both have a horizontal asymptote so, both graphs are exponential functions and they do not through(0,1)

so, both graphs have been shifted and flipped

Hence, option A, B and D are correct.

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Answer:

you didnt add a photo, we cant help you

Step-by-step explanation:

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400