Maia is comparing the costs for one month's usage of two cell phone companies. Company A charges $\$40$ per month plus $\$8.50$ per gigabyte of data used. Company B charges $\$30$ per month plus $\$10.50$ per gigabyte of data used.

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2p² + 3s

Step 2: Define variables

p = 3

s = 11

Step 3: Replace variables

2(3)² + 3(11)

Step 4: Evaluate

2(9) + 33

18 + 33

51

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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We are given that two angles in a triangle measure 101° and 29°

What is the measure of the third angle?

Recall that the sum of three interior angles of a triangle must be equal to 180°

Let x be the third angle of the triangle, then we can write

Let us solve the above equation for x

Therefore, the measure of the third angle is 50°

Answer:

Step-by-step explanation:

so to get the answer, we just add the number of bones in your hands and bones in your skull1/4 (bones in hands) + 1/10 (bones in skull)we can only add fractions that have the same denominator (bottom number in a fraction) so we change the numbers to have a common denominator:5/20 + 2/20 = 7/20so 7/20 of your bones are in your hands or skull

The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

Answer:

A = x² + 11x + 24

Step-by-step explanation:

A = L*W

L = x+8

W = x+3

A = (x+8)(x+3)

Use any method to multiply

A = x²+8x+3x+24 combine like terms

A = x² + 11x + 24

By using basic meaning of percentage we got that the originally puppy's weight  was 50 pounds

Percentage is a number or ratio expressed as a fraction of 100.

Here given that Juan's puppy currently weighs 80 pounds and his is a 60% increase in weight from when he got her.

Let's suppose original weight of puppy was x pounds

We can calculate x as

\(x+ \frac{60}{100} \times x=80\\\\x+ \frac{6}{10} \times x=80\\\\x+ 0.6\times x=80\\\\\\1.6x=80\\\\x=\frac{80}{1.6} \\\\x=\frac{800}{16} \\\\\\x=50\)

By using basic meaning of percentage we got that the originally puppy's weight  was 50 pounds .

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Answer:

??

Step-by-step explanation:

Answer:

y-3= -3/4 -(x+0)

Step-by-step explanation:

y2-y1   3-0=  3

x2-x1   0-4= -4

slope is  - 3/4

y= mx=b

y = -3/4x + 3

The radius of each shape, sphere, cylinder and cone are 5, 7 and 2 cm respectively.

The formula for the volume of sphere is -

V = 4/3πr³, where V refers to volume and r is the radius. So, 500 × 3.14/3 = 4/3πr³

We know that π is 3.1 and both π and 1/3 are common on both side thus will cancel out each other.

r³ = 500/4

r³ = 125

r = \( \sqrt[3]{125} \)

r = 5 cm

The volume of cylinder is given by the formula -

V = πr²h

147 × 3.14 = 3.14 × r² × 3

r² = 147/3

r = ✓49

r = 7

The volume of cone is -

V = πr²h/3

16 × 3.14 = 3.14 × r² × 12/3

r² × 12 = 16 × 3

r² = (16 × 3)/12

r² = 4

r = ✓4

r = 2

Hence, the radius of sphere, cylinder and come are 5, 7 and 2 cm.

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The angle in the scaled copy that corresponds to angle ABC is PQR.

An angle is formed when two straight lines or rays meet at a single terminal. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

A scaled copy is a representation of a figure in which each length from the original representation has been multiplied by the same amount.

The only difference is in the scale, therefore the angles are in the same places in both drawings. This indicates that the angle that corresponds to ABC is likewise the angle on the left side of the rescaled image (since we do not have any rotation or reflection).

That would be the PQR angle.

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Answer:

The triple is 9, 12, 15

The hypotenuse is 15.

Step-by-step explanation:

Pythagorean Theorem Formula: a²+b²=c² where a & b are the short legs and c is the hypotenuse.

9²+b²=(b+3)²

81+b²=(b+3)²

Small list of the Pythagorean Triples that contain 9:

9,12,15

9,40,41

So as you can see, there are only 2 examples in my list that contain 9 in them. The only one that fits our criteria is the triple, 9, 12 and, 15

You don't need to use the Pythagorean Formula for this as I have just proved.

Answer:

12 cm

Step-by-step explanation:

I don't think u have to use the phytagores theorem b/c the hypotenuse is 9+3=12. but if u have to use this.

\( {?a}^{2} + {b}^{2} = {c}^{2} \)

\( {9}^{2} + {b}^{2} = {9 + 3}^{2} \)

\(81 + {b}^{2} = 9(9 + 3) + 3(9 + 3)\)

\(81 + {b}^{2} = 81 + 54 + 9\)

\(81 + {b}^{2} = 144\)

\( {b}^{2} = 144 - 81 = 63\)

\( {b}^{2} = \sqrt{53} = b = 7.93\)

so if u found b then u can find c by using the same formula.

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\( {9}^{2} + {7.93}^{2} = {c}^{2} \)

\(81 + 63 = {c}^{2} \)

\( {c}^{2} = 81 + 63 = 144\)

\( \sqrt{c} = \sqrt{144} \)

\(c = 12\)

Graphing each of the equation gave the points

The table of values for graphing the linear equation is done as follows

4x + y = 4 rearranging gives y = 4 - 4x

For x = -5, y = 4 - 4 * -5 = 24

For x = 0, y = 4 - 4 * 0 = 4

For x = 5, y = 4 - 4 * 5 = -16

table of values

x    y

-5  24

0    4

5    -16

x + y = -2 rearranging gives y = -2 - x

For x = -5, y = -2 - (-5) = 3

For x = 0, y = -2 - (0 = -2

For x = 5, y = -2 - (5) = -7

table of values

x    y

-5  3

0    -2

5    -7

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Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.

The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.

A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.

The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.

For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.

It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.

In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.

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There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

To find the number of acres in a lot, you can use the following formula:

Number of acres = (length in feet) x (width in feet) / 43,560

First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:

Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet

Next, plug these values into the formula:

Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres

Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.

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Answer:

142.5

Step-by-step explanation:

150/x=100/95

95*150/100=

142.5

Answer:

The answer is C beacause it is 20 times greater than the other numbers

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

I) Find the square's perimeter:

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

II) Find the semicircle's perimeter:

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

πr + 2r (pi x radius + radius x 2)

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

πr (pi x radius)

In terms of π, the perimeter would be:

2π = 2π ft.

Or, if you used a standard approximation of π, let's say 3.14, it would be:

2(3.14) = ~6.28 ft.

III) Add them up:

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

Answer:

-8x^3 + 64x^2 - 24x

Step-by-step explanation:

To distribute, we must multiple -8x to each term:

-8x(x^2) - 8x(-8x) - 8x(3)

-8x^3 + 64x^2 - 24x

Step-by-step explanation:

\( - 8x( {x}^{2} - 8x + 3) \\ = ( - 8x \times {x}^{2}) - ( - 8x \times 8x) + ( - 8x \times 3) \\ = - 8 {x}^{3} + 64 {x}^{2} - 24x\)

distribute -8x to each term in the perenthesis i.e. multiply each term by -8x

Answer:

c

Step-by-step explanation:

Its 10th floor goes down 6 floors which is on the 4th floor and goes up 4 floors and now its on the the 8th floor

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The elevator is on the 8th floor.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

4 - 3 = 1 is an expression

3 - 6 = -3 is an expression

We have,

An elevator is on the 10th floor.

It goes down 6 floors.

This can be written as an expression:

10 - 6 = 4

The elevator is on the 4th floor.

The elevator then goes up 4 floors.

This can be written as an expression:

4 + 4 = 8

The elevator is on the 8th floor.

Thus,

The elevator is on the 8th floor.

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Answer:

18 sit up is the unit rate

The expected value E[X] and E[Y ]

 E[X+Y] = 39.2838 + 37 = 76.2838

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

E(X+Y) = E(X) + E(Y)

E[X] is the mean of X or the expected value of X.

E[Y] is the typical or expected value for Y.

E[X]= 40P (student in bus 1), 33P (student in bus 2), 25P (student in bus 3), and 50P (student in bus 4)

40(40/148) + 33(33/148) + 25(25/148) + 50(50/148) = 39.2838

E[Y] = (number of drivers)/(number of students), or 148/4, equals 37.

So,

E[X+Y] = 39.2838 + 37 = 76.2838

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When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

Suppose that both the undamped and damped systems are set in motion with the initial conditions

y(0) = y0 and y′(0) = v0.

The amplitude of the damped response is half that of the amplitude of the undamped response at a time t equal to: t = (1/ωd)ln(A0/A0d), where A0 is the amplitude of the undamped response, A0d is the amplitude of the damped response, and ωd is the damped angular frequency.

What is a damped oscillator?

A damped oscillator is an oscillator that gradually loses energy over time as a result of the energy dissipation mechanism present in the oscillator.

A spring-mass system immersed in a viscous fluid, a pendulum and a guitar string are examples of oscillatory systems. When the amplitude of the oscillator gradually decreases with time, we say it is a damped oscillator. The oscillator's behavior is said to be undamped if the amplitude remains the same over time.

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In ΔRST, the overline{RT} RT is extended through point T to point U, Therefore the value of x = 10.

The sum of angles in a triangle is 180 degrees, we have:

m∠RST + m∠STU + m∠TRS = 180

We substitute the given values, and have:

(3x + 17) + (8x + 1) + (3x + 18) = 180

We simplify  and solve  for x, we get:

14x + 36 = 180

14x = 144

x = 10.

A triangle in geometry is descried a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most important  characteristic.

This characteristic is known as the triangle's angle sum property.

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The trendline has a positive slope and 3-day moving average is the trendline that is more sensitive to this change.

In this question,

Trendlines are used to give traders a good idea of the direction an investment's value might move. In a healthy trend, it's ideal to enter your trades on a pullback (towards the moving average).

Understanding the direction of an underlying trend is one of the most basic ways to increase the probability of making a successful trade because it ensures that the general market forces are working in your favor.

A moving average is a technical indicator that investors and traders use to determine the trend direction of securities. It is one of the commonly used technical tools best known as trend following or lagging indicator, because it is based on past prices.

The sales have been quite stable in the month, but the sales was exceptionally better in the past two days. If the analyst draws a line between these price points, they have an upward trend and 3-day moving average is the trendline that is more sensitive to this change.

The options for this question are a) 3 days moving average, b) 7 days moving average, c) They are both equally sensitive, d) None of them is sensitive to this change.

Hence we can conclude that the trendline has a positive slope and option (A) 3-days moving average is the trendline that is more sensitive to this change is the correct answer.

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Answer:

A

Step-by-step explanation:

The probabilities of selecting a new vehicle and a truck separately, and then subtracting the probability of selecting both a new vehicle and a truck is P(N or T) = P(N) + P(T) - P(N∩T)

Let's denote the events as follows:

N = Selecting a new vehicle

U = Selecting a used vehicle

T = Selecting a truck

The probability of selecting a new vehicle (N) can be calculated by dividing the number of new vehicles by the total number of vehicles (new and used cars and trucks). Similarly, the probability of selecting a truck (T) can be calculated by dividing the number of trucks by the total number of vehicles.

To calculate the probability of selecting a new vehicle or a truck, we add the probabilities of N and T, and then subtract the probability of both N and T occurring together (denoted as N∩T).

P(N or T) = P(N) + P(T) - P(N∩T)

This approach ensures that we do not count the intersection (new trucks) twice.

By plugging in the respective probabilities, the final answer can be calculated.

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Answer:

\(\text{D. 36.64}\)

Step-by-step explanation:

The Law of Sines is given by \(\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\) and works for any triangle.

Therefore, we have the proportion:

\(\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}\)