Express cos A as a fraction in simplest terms.

The rate of the jet against jetstream will be 570 miles per hour and the rate of the jet in still air will be 970 miles per hour.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The rate of the jet against the jetstream will be calculated as:-

V = [tex]\dfrac{1710}{3}[/tex] = 570 miles per hour

The rate of the jet in still air will be calculated as:-

V = [tex]\dfrac{5820}{6}[/tex] = 970 miles per hour.

Therefore the rate of the jet against jetstream will be 570 miles per hour and the rate of the jet in still air will be 970 miles per hour.

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Answer:

False, distributions having the same mean and standard deviation can have very different shape of distribution.

Answer:

angle ACB=45º

Step-by-step explanation:

angle 135º lies on a straight line

a straight line = 180º

thus, angle ACB= 180-135=45º

The scenario can be described using a piecewise function like:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form:

f(x) = 1/x                  if  x < c.

f(x) = x                    if   x = c

f(x) = 1/(x + 73)       if x > c.

Clearly, this is not a continuous function.

Notice that:

[tex]f(c) = c.\\\\ \lim_{x \to c^{-}} f(x) = 1/c\\\\ \lim_{x \to c^{+}} f(x) = 1/(c + 73)[/tex]

So the limits from left and right are different, then:

[tex]\lim_{x \to c^{}} f(x)[/tex]

Does not exist.

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Answer:

Step-by-step explanation:

→ Find the gradient

( -3 --4 ) ÷ ( 0 --3) = 1/3

→ Write into format

y = 1/3x + c

→ Substitute in a coordinate pair

-3 = 0 + c

→ Solve for c

c = -3

→ Write into format

y = 1/3x - 3

The cost to paint a is 12/13 square feet per dollar.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Jacob spends 13/4 dollars to paint 9/3 square feet.

[tex]\dfrac{\dfrac{9}{3}}{ \dfrac{ 13}{4}} = \dfrac{9}{3} \times \dfrac{ 4}{13}\\\\= \dfrac{ 36}{39}\\\\= \dfrac{ 12}{13}[/tex]

Hence, the cost to paint a is 12/13 square feet per dollar.

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Answer:

09

Step-by-step explanation:

07

The size of the colony after 10 days is  852.

The growth rate of the colony can be represented with an exponential equation with the form:

FV = P(1 + r)^n

Where:

55(1.73)^5 = 852

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Answer:

a, b, d

Step-by-step explanation:

its one of those

Answer:

A, the first one

By the power and chain rules, taking derivatives on both sides with respect to [tex]t[/tex] gives

[tex]4x^3 \dfrac{dx}{dt} + 4y^3 \dfrac{dy}{dt} = 4\dfrac{dy}{dt}[/tex]

or

[tex]4x^3 \dfrac{dx}{dt} + (4y^3-4) \dfrac{dy}{dt} = 0[/tex]

Answer:

36

Step-by-step explanation:

40*.9

Answer:

(4, -3)

Step-by-step explanation:

A vertex is just a point where 2 lines going in different directions meet. so the answer is (4, -3)

The team gain 1490 yards by rushing during the season.

Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.

According to the question,

A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,

i.e.  T=P+R

In 2012,

The teams total offense was 4559 yards.

The teams passing yardage was 3069 yards.

By using the formula

T=P+R

T = 4559 yards , P = 3069 yards

Put the values in the above equation;

4559 =  3069 - R

4559 - 3069 = R

R = 1490 yards

Therefore , 1490 yards the team gain rushing during the season.

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Answer:

[tex]4\sqrt{26}[/tex]

Step-by-step explanation:

The distance formula is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Thus we can plug the numbers in:

[tex]\sqrt{(-2-(-6))^2+(10-(-10))^2}[/tex]

[tex]\sqrt{(4)^2+(20)^2}[/tex]

[tex]\sqrt{16+400}[/tex]

[tex]\sqrt{416}[/tex]

[tex]4\sqrt{26}[/tex]

Answer:

sum of all sides

Step-by-step explanation:

x1y2 + x3y3 + x1y1

For different function different results are shown below.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.

g(x) = −2x, −2 < x < 0

Answer:

NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.

g(x) = −2, x < −2

Answer:

YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.

g(x) = x − 2, −2 < x < 1

Answer:

NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.

g(x) = −2x + 6, x ≥ 1

Answer:

YES. Because g(x) = −2x+6 satisfies the graph which is going downward.

g(x) = x/2+ 1, –2 ≤ x < 1

Answer:

YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.

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Answer: i think this is the answer sorry if i am wrong.

g(x) = −2, x < −2,

g(x) = −2x + 6, x ≥ 1,

g(x) = x/2  + 1, –2 ≤ x < 1

Step-by-step explanation:

Here is the graph

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

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Answer:

Using the ratio and proportion method, we find that on an average 1.875 rooms can be painted per gallon.

Step-by-step explanation:

Concept: Use the method of ratio and proportion.

In this method, if a relationship is given between two values, then using that relationship we can find another relationship with respect to another variable.

Given that for 2/5 gallons of paint, we can paint 3/4 of rooms. So, for one gallon of paint, divide 2/5 by 3/4.

2/5 gallons of paint = 3/4 rooms

1 gallon of paint = [tex]\frac{\frac{3}{4} }{\frac{2}{5} } = \frac{15}{8} =1.875[/tex] rooms

So, on an average they can paint 1.875 rooms per gallon.

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Answer:

200 sqin.

Step-by-step explanation:

10 x 10 + 10 x 10 = 100 + 100
                          = 200

Answer:

area of a parallelogram equals to 1/2 x base x perpendicular height and area of a triangle equals to 1/2 base times height so you ought to search for the base in order to get the area of the triangle needed that's how I got the answer bye.

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 ,  the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .

Probability is the measure of likeliness of an event to happen

Let X denote the time to pass the kidney stone.

The random variable X follows normal Distribution

mean = 12 days days

standard deviation = 4 days

The distribution of X is  X - N ( 12 , 4)

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is

P ( X > 16) = 1 - P( X ≤ 16)

= 1 - P( Z ≤ (16-12)/4)

= 1 - P ( Z ≤ 1 )

= 1 - 0.84134

= 0.15866

P( X < x₀) = 0.75

[tex]\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75[/tex]

[tex]\rm \phi (\dfrac { x_o - 12}{4}) = 0.75[/tex]

Using the excel function the z score for the area 0.75 is

z - score = 0.6745

[tex]\rm \dfrac {x_o - 12}{4} = 0.6745[/tex]

x₀  = 0.6 * 4 + 12

x₀ = 14.4

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Answer:

A. y = 600x, the jet travels 12,000 miles in 20 hours

Explanation:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Take two points: (2, 1200), (4, 2400)

[tex]\sf slope : \dfrac{2400-1200}{4-2 } = 600[/tex]

Equation:

y - 1200 = 600(x - 2)

y - 1200 = 600x - 1200

y = 600x

Miles the Jet travels at 20 hours:

Miles the Jet travels at 22 hours:

Answer:

y = 600x, the jet travels 12,000 miles in 20 hours

Step-by-step explanation:

Slope-intercept form of a linear equation:

[tex]y = mx + b[/tex]

where:

To find the slope, define two points on the line and use the slope formula to find the slope:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1200-0}{2-0}=600[/tex]

From inspection of the graph, the y-intercept (where the line crosses the y-axis) is at (0, 0).  Therefore, the equation of the line is:

y = 600x

y is defined as the distance (in miles).  Therefore, to find the number of hours it takes for the jet to travel 12,000 miles, substitute y = 12000 into the found equation and solve for x:

[tex]\sf \implies 600x=12000[/tex]

[tex]\sf \implies x=\dfrac{12000}{600}[/tex]

[tex]\sf \implies x=\dfrac{120}{6}[/tex]

[tex]\implies \sf x=20[/tex]

Therefore, it takes the jet 20 hours to travel 12,000 miles.

Answer:

I believe that it should be Y; Height of an emperor penguin on Antarctica

Answer:

Z = "results of flipping two coins"

Step-by-step explanation:

A discrete variable is one which can take only certain values and usually represents values that are counted. The result of flipping two coins can only take a certain number of values of heads or tails (1 head and 1 tail, two heads, or two tails); therefore it is a discrete variable.

A continuous variable is one which can take any value, and usually represents values that are measured. The rest of the options provided (W, X, and Y) are all measurements, and are therefore continuous, not discrete.

Also, among the options presented, option Z is the only one which is "random".

Answer:

  16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

  (a +b)² = a² +2ab +b²

We want to match this form.

__

Comparing the known terms, we see ...

  16x² = a²   ⇒   a = 4x

  36 = b²   ⇒   b = 6

The missing term is the linear term:

  2ab = 2(4x)(6) = 48x

  ? = 48

The question is incomplete. The complete question is

A teacher promised a movie day to the class that did better, on average, on their test. The box plot shown in the below-mentioned figure shows the results of the test.

Which class should get the reward, and why?

- The 2nd-period class should get the reward. They have the highest score, a perfect 100.

- The 2nd-period class should get the reward. They have a higher median.

- The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

- The 4th-period class should get the reward. Their lowest score is an outlier and should be thrown out.

The box plot shown in the question provides the information that
In 2nd period the minimum of the data is 77, first quartile is 78, median of the data is 89, third quartile is 92 and the maximum of the data is 100.
Hence, the mean of the results of 2nd period is

[tex]\frac{77+78+89+92+100}{5}=87.2[/tex]

In 2nd period the minimum of the data is 72, first quartile is 83, median of the data is 89, third quartile is 96 and the maximum of the data is 98.

Hence, the mean of the results of the 4th period is

[tex]\frac{72+83+89+96+98}{5}=87.6[/tex]

Hence, obviously, the 4th period is having more mean.

Moreover, we can observe that if more of the marks are on the higher side the average will automatically be more. Hence, as the first and the third quartiles are more on the 4th-period, so the average marks for the 4th period must be better.

So, just by observing the box plot, we can give the statement that  "The 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class. "

Therefore, the 4th-period class should get the reward. Though the medians are the same, the first and third quartiles are higher, so the students did better on average than in the 2nd-period class.

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Answer:

  (a)  y = 5/12x and y = -5/12x

Step-by-step explanation:

Given the equation of a hyperbola 25x² – 144y² + 3,600 = 0, you want the equations of the asymptotes.

Dividing by 3600 and doing a little rearrangement, we have ...

  (y/5)² -(x/12)² = 1 . . . . . standard form equation of a hyperbola

The equation of the asymptotes is ...

  (y/5)² -(x/12)² = 0

Solving for y gives ...

  (y/5)² = (x/12)²

  y/5 = ±x/12 . . . . . . take the square root

  y = ±5/12·x . . . . . . . matches the first choice

__

Additional comment

The equation of a hyperbola with vertices on the y-axis is often written as ...

  y²/a² -x²/b² = 1

We have written it in the above form to better show the scale factors applied to x and y.

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