An airplane flies with a constant speed of 620 miles per hour. How far can it travel in 2 hours 30 minutes?

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

We will use the point slope formula: [tex]y=mx+b[/tex]

We will start by finding the slope([tex]m[/tex]).
The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]

That's our slope.

Next we need to find the y-intercept([tex]b[/tex]). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

[tex]y=-\frac{1}{4}x+2[/tex]

Answer:

The Letter E has 1 line of symmetry. (Horizontal)

Step-by-step explanation:

Yes, because if you fold it in half (horizontally), both halves match up.

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

[tex]\frac{x}{sin46}[/tex] = [tex]\frac{20}{sin94}[/tex] ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = [tex]\frac{20sin46}{sin94}[/tex] ≈ 14.4 cm ( to the nearest tenth )

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

[tex]\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}[/tex]

Given angles are:

Definition of Euclidean Triangle:

Find another angle:

So another angle is 94°.

To find:

Determine:

Therefore:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}[/tex]

Multiply both sides by 20x:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}[/tex]

Divide both sides by [tex]\displaystyle \large{\sin 94^{\circ}}[/tex]:

[tex]\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}[/tex]

Evaluate the expression, hence:

[tex]\displaystyle \large{x = 14.42...}[/tex]

Round to nearest whole number:

[tex]\displaystyle \large{x = 14}[/tex]

Therefore, the value of x is 14 cm.

The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a

We want to simplify the expression;

[(4a + 4)/2a] * [a²/(a + 1)]

This expression can be further reduced to;

[(4a + 4)/2] * [a/(a + 1)]

Factorizing the numerator to get;

[(4(a + 1)/2] * [a/(a + 1)]

(a + 1) will cancel out to get;

2a

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Answer:

Step-by-step explanation:

variance = (S.D)^2

=3.2^2

=10.24

=10

therefore , varience of a distribution is 10

Answer:

Hence, the security camera be adjusted in order to have the lens aimed at point. P. on the ground at an angle of depression of. x∘=30∘

Step-by-step explanation:

Answer:

The volume is 560

Answer:

the volume of the right rectangular prism is 263.52 cubic centimeters hope it helps

The probability helps us to know the chances of an event occurring. Pooja's expected value of playing this game is 0.3077.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

There are 12 face cards, therefore, the probability of the getting a face card can be written as,

[tex]\text{Probability of face card }= \dfrac{12}{52} = 0.2308[/tex]

Also, the winning prize for drawing a face card is $6. Therefore, the expected value will be,

[tex]\text{Expected Value(Face)} = \$6 \times 0.2308= $1.3846[/tex]

There are 4 ace cards, therefore, the probability of the getting an ace card can be written as,

[tex]\text{Probability of ace card }= \dfrac{4}{52} = \dfrac{1}{13} = 0.077[/tex]

Also, the winning prize for drawing an ace card is $4. Therefore, the expected value will be,

[tex]\text{Expected Value(Ace)} = \$4 \times 0.077 = $0.3077[/tex]

There are 36 normal cards, therefore, the probability of the getting a normal card can be written as,

[tex]\text{Probability of normal card }= \dfrac{36}{52} = 0.6923[/tex]

Also, the losing prize for drawing a normal card is -$2. Therefore, the expected value will be,

[tex]\text{Expected Value(Normal)} = (-\$2) \times 0.6923 = -$1.3846[/tex]

Thus, Pooja's expected value of playing this game can be written as,

[tex]\rm Expected\ Value = 1.3846 + 0.3077-1.3846 = 0.3077[/tex]

Hence, Pooja's expected value of playing this game is 0.3077.

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The size of the sample space would be  { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

         tails T-1 T-3 T-4 T-5

The size of the sample space

= { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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Answer:

hope this works for u

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Volume of a pyramid = 1/3 base area * height

                                   = 1/3 (8 * 10)(12)

Answer:

Y+3=-6(x+9)

Step-by-step explanation:

Got it right on usa test prep

Answer:

The answer with calculator would be 2.16096

I think this might helpful

Answer:

A

Step-by-step explanation:

the graph is mostly going in an upward direction therefore both x and y are increasing.

Answer:

a

Step-by-step explanation:

looked it up if u dondon't like the answer sorry

Answer:

$3.50

Step-by-step explanation:

add up all the x's and distribute them starting from the outside until you get to the middle. if there is an odd number of x's (which there isn't), the last x to be placed will be on the spot that is the median. If there is an even number of x's, and they both land on the same spot, that spot will be the median, and if they are next to each other, the median will be between them.

A geometric series is the sum of an unlimited number. The common ratio of the geometric sequence is 3.

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

Given the value of a₁ is 10, while the value of a₅ is 810, therefore, the common ratio can be written as,

[tex]\dfrac{a_5}{a_4} \times \dfrac{a_4}{a_3} \times \dfrac{a_3}{a_2}\times \dfrac{a_2}{a_1} = r \times r \times r \times r\\\\\\\dfrac{a_5}{a_1} = r^4\\\\\\dfrac{810}{10} = r^4\\\\\sqrt[4]{81} = r\\\\r = 3[/tex]

Hence, the common ratio of the geometric sequence is 3.

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Answer:

$1952.62

Step-by-step explanation:

1,800(1+.0275)^3

= 1952.62

Mee

increase 31 kg by 100%

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

[tex]\frac{0.47}{1}[/tex] = [tex]\frac{0.47 x 100 } {1x100}[/tex] = [tex]\frac{47}{100}[/tex]

So, 0.47 as a fraction  in simpliest form equals 47/100

Answer:

A. is NOT the function.

Step-by-step explanation:

In a function, 1 input (the 3) can not have two differnt ouputs (8 and 9) meaning that this is NOT a dunction.
I hope this helps! :)

Answer:

In radian :

[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]

In degree :

45° and 225°

Step-by-step explanation:

the x and y coordinate on the unit circle exactly the same at the angles :

In radian :

[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]

In degree :

45° and 225°

At those angles :

[tex]\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)[/tex]

Answer:

It is not symmetric and has a peak at $2.00

Step-by-step explanation:

$2.00 has 4 dots while the others have less

in order for it to be symmetric:

it is also not clustered from $1.00 to $5.00 because $1.00 has no amount

There are no gaps as $1.00 has no amount

Answer:

It is not symmetric and has a peak at $2.00

Step-by-step explanation:

hope i helped you very much

Answer:

y = -3x -1

Step-by-step explanation:

Hi there!

We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)

We can use these points to help find the equation of the line, which we can write in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.

[tex]x_1=-1\\y_1=2\\x_2=1\\y_2=-4[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-4-2}{1--1}[/tex]

Simplify

m=[tex]\frac{-4-2}{1+1}[/tex]

m=[tex]\frac{-6}{2}[/tex]

Divide

m= -3

The slope of the line is -3

We can substitute this into the formula.
Here's our line so far:

y = -3x + b

Now we need to find b

As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b

Taking (-1, 2) for example:

Substitute -1 as x and 2 as y.

2 = -3(-1) + b

multiply

2 = 3 + b

Subtract 3 from both sides

-1 = b

Substitute -1 as b.

y = -3x - 1

Hope this helps!

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Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Answer:

3x km

Step-by-step explanation:

Answer:

so it is 12 45

Step-by-step explanation:

Answer:

its actually 1 4 5 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

A variable is an undetermined number represented by a letter.

K is a variable.

The addition of more than is not a subtraction.

I hope this helps. Let me know if you have any questions.

Answer:

768 bugs

Step-by-step explanation:

You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.

f(x)=6*2^(x/5)

Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.

By plugging in 35, you get 6*2^7, which is 768.