Select the correct answer.
An airline operates in only 10 destinations in 2015, but plan on adding more destinations each year. In 2016, the number of destinations will be
twice the initial number of destinations. Then, in 2017, the number of destinations will be twice the number of destinations the previous year. If
this pattern continues, which of the following graphs represents the number of destinations in which the airline will operate over time?

Answer:

The force of gravity experienced by the shuttle would be 1.6675×10^N

Answer:

Adults = 448

Students = 888

Step-by-step explanation:

Write equations with info given

A = Adult tickets

S = Student tickets

5A+1S=3,128

A+S=1336

Subtract equations from each other

4A=1792

Solve for A

A=448

Plug A into second equitation

448+S=1336

Solve for S

S=888

Answer:

2(7x-1)

Step-by-step explanation:

14 & 2 gcf 2 factor and wal lah!

Answer:

[tex]x= -\dfrac {9}2 +\dfrac{\sqrt{57}}{2},~~x = -\dfrac {9}2 - \dfrac{\sqrt{57}}{2}[/tex]

Step-by-step explanation:

[tex]~~~~~~~x^2 +9x +12 = 6\\\\\implies x^2 +9x = 6-12\\\\\implies x^2 +9x = -6\\\\\implies x^2 +2 \cdot \dfrac 92 \cdot x +\left(\dfrac 92\right)^2 -\left( \dfrac 92 \right)^2 = -6\\\\\implies \left(x+ \dfrac 92 \right)^2 -\dfrac{81}{4}= -6\\\\\implies \left(x +\dfrac 92 \right)^2 = -6 + \dfrac{81}4\\\\\implies \left(x + \dfrac92 \right)^2 = \dfrac{57}{4}\\\\\implies x+ \dfrac 92 = \pm\sqrt{\dfrac{57}4}\\\\\implies x = -\dfrac {9}2 \pm\dfrac{\sqrt{57}}{2}[/tex]

find D which is the discriminant and with D < 0.

therefore the equation has an imaginary root and not a real root.

Answer:

60°

Step-by-step explanation:

Arc BC and Angle BWC are the same number of degrees.

When the vertex of an angle is at the center of a circle, its called a Central Angle. A central angle and the arc it "cuts off" have the same number of degrees.

Angle AWB and Angle BWC lay together on a straight line, so they add up to 180°.

180° - 120° is 60°

Angle BWC is 60° so Arc BC is 60°

The attached figure represents the sketch of the graph

The complete question requires that we sketch the graph that follows the given parameters

The given parameters are:

To start with, we plot the points on an empty coordinate plane.

Next, we connect the points using a rough curve

Lastly, the points are labelled

See attachment for the sketch of the graph

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Answer:

First, we have to add 3 to both sides.
[tex]\sqrt{2x} - 3 + 3 = 2 + 3[/tex]

Then we simplify the equation,
[tex]\sqrt{2x} = 5[/tex]

Divide both sides of the equation by [tex]\sqrt{2}[/tex]
[tex]\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}[/tex]

Finally, simplify.
[tex]x = \frac{5\sqrt{2}}{2}[/tex]

Therefore, our answer is [tex]x = \frac{5\sqrt{2}}{2}[/tex]

3.5

Step-by-step explanation:

square means 1/2.so,1/2(2x-3)=(2)^2

then square cancel by square. 2x-3=4

2x=4+3, 2x=7then divided by 2.

x=3,5

Answer:

Initial balance$1000

interest rate 8%

Term 20yrs

Step-by-step explanation:

The final balance is $4,926.8.The total compound interest is $3,926.8.

The value of r is 2 %.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given:

Principal(P)= $4540

Rate = ?

Time=10  years

CI=$1328.54

We have to find the value of r.

According to given question we have

By the use of compound interest we have

[tex]CI=p((1+\frac{r}{100} )^{10} -1)\\\\1328.54 =4540 ((1+\frac{r}{100} )^{10} -1)\\\\\0.292= ((1+\frac{r}{100} )^{10} -1)\\[/tex]

After simplifying we get,

r=2 %

Therefore, the value of r is 2 %.

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The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters

The given parameters are:

Calculate the z-scores at x = 158 and x = 163 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{158 - 161}{6} = -0.5[/tex]

[tex]z = \frac{163 - 161}{6} = 0.33[/tex]

The probability is then represented as:

P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)

Using the z table, we have:

P(158 ≤ x ≤ 161) =  0.69011

Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011

The probability is represented as:

P(X ≥ x) = 1%

Express as decimal

P(X ≥ x) = 0.10

The z-score at p = 0.10 is:

z = 1.282

Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]

Make x the subject

[tex]x = 1.282\sigma + \mu[/tex]

Substitute values for standard deviation and mean

x = 1.282 * 6 + 161

Evaluate

x = 168.692

Approximate

x = 169

Hence, the value of x is 169 centimeters

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Answer:

33,75 clients(huh?)

Step-by-step explanation:

75 / 100 = 0,75(1% of all clients)

0,75 * 45 = 33,75(number of business clients)

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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The measure of the remote exterior angle is 128°.

From the information given, x = y + z. Therefore, .(198 - 5n) = (5n + 37( + (n + 7)

198 - 5n = 6n + 44

Collect like terms

154 = 6n + 5n

154 = 11n

n = 154/11

n = 14

The value of angle x will be:

= 198 - 5n

= 198 - 5(14)

= 198 - 70

= 128

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Answer: Maybe when you Grew from a Baby to a toddler because that would be you growing over time

Step-by-step explanation:

I Hope This Helps!

The amount of bacteria cells that would be in the petri dish after 30 minutes is 73.3

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of cells after x minutes, hence:

y = 4.2(1.1)ˣ

After 30 minutes:

y = 4.2(1.1)³⁰ = 73.3

The amount of bacteria cells that would be in the petri dish after 30 minutes is 73.3

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Answer:

1

Step-by-step explanation:

The points go rise:1 up:1 so the slope is 1.

Answer:

hey!! we can taIk here

Step-by-step explanation:

If there was a nuclear plant disaster, then GDP would be a false beacon because it would account for government spending but not for the pollution caused.

Two of the components of GDP are government spending and private investment.

If there is a nuclear plant disaster, either the government will spend a lot to clean it up, or a private company will depending on if the plant is public or private.

GDP would therefore increase.

This would be a false beacon however, because this increase would not take into account the nuclear pollution that would have occurred that would negatively impact future production.

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A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.

An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.

Given the following table:

X : -4        -1        2            4              5

Y :  16        2       0.25   0.0625    0.03125

Next, we would calculate the rate of decay for the y-values:

16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8

Rule: The y-values constantly decreases by 1/4 or 0.25 of the previous number.

In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.

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Answer: It's B

Step-by-step explanation:

I got it right

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

The greatest common factor is the value that will divide an expression without leaving a remainder.

Given the expression 21xy + 14y

Find the factors

21xy = 7 * 3 * x * y

14y = 7 * 2* y

From the factors above, it is clear that 7 and y are the greatest common factors.

Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)

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Factor out

So

Now factor up

Option B

Answer:

P (blue) = 23 / 82

Step-by-step explanation:

There are 23 blue out of 82 (28 + 21 + 23 + 10 = 82) balls

or,

23 / 82

So, the probability of a blue ball being chosen is  23/82  

(or a 28% chance [rounded])

The solution to the given system of equation is (4, 4)

From the solved steps, the final quadratic functions is given as;

x^2 - 8x + 16 = 0

Factorize to have;

x^2 - 4x - 4x + 16 = 0

x(x-4)-4(x-4) = 0
(x-4)(x-4) = 0

x = 4 and 4

Hence the solution to the given system of equation is (4, 4)

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Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

Answer:

2ax + b + C

where C is a constant.

Answer:

Hi! I think you are referring to the Pythagorean Theorem.

Essentially, given a right triangle, the sum of the squares of the shorter sides equals the square of the longer (slant) side or hypotenuse.

The formula is a squared + b squared = c squared

If the triangle has side lengths 3 and 4 (for the shorter sides), the longer side can be solved like this:

3 squared + 4 squared = x squared

(Let x =  the longer side)

3 squared = 9

4 squared = 16

9+16 = x squared

25 = x squared

x =  5

So there you go, that's the Pythagorean theorem.

Let me know if this helped!

Answer:

a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Step-by-step explanation:

The closest to the maximum number of cups the punch bowl can hold is 30

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

[tex]V = \frac{2}{3}\pi r^3[/tex]

This gives

[tex]V = \frac{2}{3}\pi * 6^3[/tex]

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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The dog was running toward the trainer to receive a treat the correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.

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The probability of drawing an ace will be 8 / 16575.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

P = [tex]\dfrac{4}{52}\times \dfrac{4}{51}\times\dfrac{4}{50}[/tex]

P = [tex]\dfrac{8 }{ 16575}[/tex]

Therefore the probability of drawing an ace will be 8 / 16575.

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Answer:

Step-by-step explanation:

(a). In set notation:

B. { x | x < 2 }

(b).

( - ∞ , 2 )

(c). See attachment.

The figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only

The cross-section of three-dimensional figures are as a result of slicing the figure along its axis.

Hence, the figures that can have a triangle as a two-dimensional cross section are (4) I, III, and IV, only

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