the plane traveling from boston traveled at an average speed of 360 miles per hour. the plane traveling from kansas city arrived at 10:34 a.m. how many minutes before the plane from boston arrived did the plane from kansas city arrive?

Answer:

720

Step-by-step explanation:

[tex]\frac{n!}{(n-r)!}[/tex]

[tex]\frac{10!}{(10-3)!}[/tex]

[tex]\frac{10!}{7!}[/tex]

720

Answer:

7020

Step-by-step explanation:

2÷390,702,468

2÷195,351,234

3÷

Rewriting the given trigonometric form using trigonometric identities by eliminating fraction form gives [tex]-cotx.cosx.(sinx+1)[/tex]

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

We know that,

[tex]cot^{2} x = \frac{cos^{2}x }{sin^{2}x }[/tex]

[tex]1+cscx = (1+\frac{1}{sinx} ) = \frac{sinx+1}{sinx}[/tex]

Rewriting the given trigonometric form using trigonometric identities by eliminating the fraction form gives[tex]-cotx.cosx.(sinx+1)[/tex]

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Multiple according to the number 3 is 162 and its submultiple according to the number 7 is 7.

What is called multiplication?

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes.

Given that :

One segment measures 161 cm

To find the multiple according to the number 3, divide 161 by 3.

161 ÷ 3 = 53.67

Nearest integer of 53.67 is 54

The multiple according to the number 3 = 54 × 3

                                                                   = 162

To find the submultiple according to the number 7, divide 161 by 7.

161 ÷7 = 23

Nearest integer of 23 is 23

The submultiple according to the number 7 = 161 ÷ 23

                                                                          = 7

Multiple according to the number 3 is 162 and its submultiple according to the number 7 is 7.

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The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card.

Given

Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest

compounded daily.

1.048353

The table on page A14 shows the cost per $1.00 (over the course of a year).

$35,000×1.048353=$36,692.36

The sum of the initial principle and the amount per $1.00 is the amount (for a year).

$36,692.36−$35,000=$1,692.36

The difference between the amount (for one year) and the initial principal is the interest (for one year).

$1,692.36÷$35,000

=0.04835

=4.835%

The interest (for a year) divided by the initial principle results in the annual percentage yield.

4.835%

The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

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Answer:

  500

Step-by-step explanation:

You want to know the rate in 4 years if it is 380 units per day, and increasing by 30 units per day per year.

The rate in 4 years will be the sum of the current rate and the amount of increase. The amount of increase is the rate of increase, multiplied by time:

  amount of increase = (30 units/day)/year × (4 years) = 120 units/day

Then the rate in 4 years will be ...

  new rate = current rate + increase

  new rate = 380 units/day + 120 units/day = 500 units/day

The company will be producing 500 units per day in 4 years.

Answer:

The possible values of t for which the rocket's height is 12 meters are approximately 1.1 or -1.1.

Step-by-step explanation:

12 = 35t - 5t^2

t = (-b ± √(b^2 - 4ac)) / 2a

t = (35 ± √(35^2 - 4(-5)(-12))) / 2(-5)

t = (35 ± √(35^2 + 240)) / -10

t = (35 ± √575) / -10

t = (35 + √575) / -10 = (35 + 24) / -10 = 11/10 = 1.1

t = (35 - √575) / -10 = (35 - 24) / -10 = -11/10 = -1.1

The rocket's height is 12 meters at time t = 0.4 seconds.

Two or more expressions with an Equal sign is called as Equation.

A model rocket is launched with an initial upward velocity of 35 m/s.

The rocket's height h (in meters) after t seconds is h=35t-5t

We have to find the time(s) when the rocket's height is 12 meters, we need to solve the equation:

h = 35t - 5t = 30t

We want to find all values of t that make h = 12. So we set h = 12 and solve for t:

12 = 30t

Divide both sides by 30

t = 12/30

t = 0.4

Therefore, the rocket's height is 12 meters at time t = 0.4 seconds.

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Answer:48

Step-by-step explanation:

The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

The given data is

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

(a) calculate mean value of x:

μ = E(x)

  = ∑(xi.P(xi))

 = 4.13

(b)  calculate variance of x:

σ² = ∑(xi - E(x))².P(xi)

   = 1.81331

(c)  calculate standard deviation of x:

σ = √σ²

σ = √1.831

σ = 1.3539

The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:

P(μ  - σ < x < μ  + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)

                                = P(2.7761 < x < 5.4839)

                                = P(x = 3) + P(x = 4) + P(x = 5)

                                = 0.13 + 0.30 + 0.31

                                = 0.74

Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

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The complete question is-

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

Answer:

Negative

Step-by-step explanation:

Knowledge Needed

The discriminant of a quadratic function is b^2-4ac.

If the discriminant is positive, there are 2 x-intercepts.

If the discriminant is 0, there is 1 x-intercept.

If the discriminant is negative, there are 0 x-intercepts.

Question

If the parabola does not intersect with the x-intercept, the discriminant is negative.

Answer:

4×-4y=4

-(4x+y=19)

0x -5y=-15

5y=15

y=3

4x-12=4

x=4

Option B is the correct answer. corresponding sides have a proportional ratio is 1/3 of the sss theorem.

If two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional. This is called the SSS Similarity Theorem.

when the three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar, it is also called SSS Similarity Theorem.

SSS Theorem png

If  ABYZ=BCZX=ACXY , then ΔABC∼ΔYZX .

Considering triangles have 3 sides, having each side has a 1/3 ratio will make it congruent to the other triangle.

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The equations that are true if x = 8 are:

B. x + 11.5 = 20.5

C. 23.42 - x = 15.42

D. 11x = 88

In equation B, x is equal to 8, so 8 + 11.5 = 20.5, which is a true statement. In equation C, x is also equal to 8, so 23.42 - 8 = 15.42, which is a true statement. In equation D, x is equal to 8, so 11*8 = 88, which is a true statement.

Equation A is not true because the expression 0^2/x is undefined, since division by zero is not allowed. Equation E is not true because 40 ÷ 8 is equal to 5, not 6.

Answer:

whats f

Step-by-step explanation:

Answer:

graph D

Step-by-step explanation:

if x ≥ 0

5x + 3 < 18

5x < 18 - 3

5x < 15

x < 15/5

x < 3

0≤ x < 3

if x < 0

5(-x) < 18 - 3

- 5x < 15

x > 15/-5

x> -3

-3 < x < 0

final solution

-3 < x < 3

The expression to which the distance Kane run in a training session after w week is {3+(1÷4)w}...

Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week.

Let w be the number of week.

So the expression is formed  as that in 1st week if he sart running 3 miles and after every week 1/4 miles added ,it's mean 1 by forth part of one mile is added after every week so if;

we suppose that we have to calculate it for "w" weeks then these weeks will be multiply with 1/4 and then added to the starting miles which are 3 miles

So the expression will be:

{3+(1÷4)w}

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Your question is may be misspelled it will be...(Kane is training for a marathon. He start running 3 miles during every training session. Each week he plan to increase the distance of his running by 1/4 miles. Let 'w' be the number of week. Write an expression to how the distance Kane run in a training session after 'w' weeks?

Julia needs to spend 1.92 hours exercising on Sunday in order to reach her goal.

The number of hours Julia needs to spend exercising on Sunday can be calculated as follows;

Total number of hours to spend exercising = 5 1/4 = 21/4 = 5.25 hours

Total number of hours spent exercising on Saturday = 3 1/3 = 10/3 = 3.33 hours

Now the number of hours she needs to spend exercising on Sunday can be determined by subtraction as follows;

Hours on Sunday = Total hours - Hours on Saturday

Hours on Sunday = 5.25 hours - 3.33 hours

Hours on Sunday = 1.92 Hours

Thus the number of hours she needs to spend exercising on Sunday is calculated to be 1.92 hours.

Although a part of your question is incorrect, you might be referring to this question:

Julia decided to spend 5 1/4 hours exercising over the weekend. She spent 3 1/3 hours exercising on Saturday. How much longer doe he need to spend exercising on Sunday in order to reach her goal?

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The team of Rosie's Riveters beat the Susan Bees by 3 runs.

Given are the scores for two softball teams for seven innings.

The total score of Rosie's Riveters will be -

T{R} = 1 + 3 + 4 + 2 + 1 + 0 + 2 = 13

The total score of Susan Bees will be -

T{S} = 0 + 0 + 5 + 3 + 0 + 1 + 1 = 10

Now -

T{R} - T{S} = 13 - 10 = 3

T{R} - T{S} = 3

Therefore, the team of Rosie's Riveters beat the Susan Bees by 3 runs.

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Answer:

She answered 9 wrong and 33 right.

Step-by-step explanation:

Choices:

She answered 9 wrong and 33 right.

She answered 33 wrong and 9 right.

She answers 14 wrong and 22 right.

She answered 22 wrong and 14 right.

11:3 = 22:6 = 33:9 = 44:12 = 55:15 = 66:18 = 77:21 = 88:24 = ...

33 right 9 wrong works.

Answer: She answered 9 wrong and 33 right.

Answer:

y=-2x

Step-by-step explanation:

The function that models the relationship between plant height (y) and growth time (x) is y = 18 + 5x

The linear equation of two variables

The two-variable linear equation is a solving system for a mathematical problem in which there are two case variables.

In the problem, we get the info that the plant's initial height is 18 cm, meaning this value will not change.

We also get information that the height of the plants increases by 5 cm every month, meaning this value will change over time. If x is the growth time (in months), then the increase in height over time can be written mathematically as 5x.

Based on the two statements above, if y is the plant height (in cm) after x months, then mathematically it can be written as:

y = 18 + 5x

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Answer:

y=6

Step-by-step explanation:

The equation of a line in slope-intercept form is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis. In this case, we are given that the line passes through the point (8, 6) and has a slope of 0, so we can plug these values into the equation to find the equation of the line.

Since the slope of the line is 0, the equation of the line becomes:

y = 0x + b

To find the value of b, we need to plug in the coordinates of the point (8, 6) into the equation and solve for b. This gives us:

6 = 0 * 8 + b

b = 6

Therefore, the equation of the line is given by:

y = 0x + 6

This equation tells us that the y-coordinate of any point on the line is always 6, regardless of the x-coordinate of the point. This means that the line is horizontal and passes through the point (8, 6).

In terms of b, the perimeter expression is 6 + 4b and the value of b is 9

From the question, we have the following parameters that can be used in our computation:

Dimensions = 8cm and 2b - 5 cm

The above parameters mean that

Length = 8

Width = 2b - 5

The perimeter is calculated as

Perimeter = 2 * (Length + Width)

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (8 + 2b - 5)

Evaluate the like terms

Perimeter = 2 * (3 + 2b)

Open the brackets

Perimeter = 6 + 4b

Here, we have

Perimeter = 42

This means that

6 + 4b = 42

So, we have

4b = 36

Divide by 4

b = 9

Hence, the value is 9

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To find the time and distance at which Liza passes Ralph, we need to solve the system of equations.

Subtracting the first equation from the second, we get:

65x - 60x = y - 25

5x = y - 25

y = 5x + 25

Substituting this value of y into the first equation, we get:

60x + 25 = 5x + 25

55x = 0

x = 0

This means that Liza will pass Ralph 0 hours after she leaves, or at the same time as Ralph. At this time, they will have both traveled 0 miles.

Therefore, the answer is A: Liza will not pass Ralph, because she will never catch up with him.

Step-by-step explanation:

1.

it is always the same.

the usual equation of a line is

y = ax + b

"a" being the slope, "b" being the y-intercept (the y-value when x = 0).

we see that the y-value is +3 when x = 0. that is "b".

for the slope we pick 2 points (with integer coordinates, if possible).

I see e.g. (0, 3) and (3, 0)

x changes by +3 (from 0 to 3).

y changes by -3 (from 3 to 0).

the slope "a" is -3/+3 = -1

the equation is

y = -x + 3

2.

and again the same

we see that the y-value is -3 when x = 0. that is "b".

I see e.g. (0, -3) and (3, 0) as points.

x changes by +3 (from 0 to 3).

y changes by +3 (from -3 to 0).

the slope "a" is +3/+3 = 1.

the equation is

y = x - 3

The point F( – 4, – 1) i rotated 270° counterclockwie around the origin. then The coordinates of the point F' is (-1 ,4 )

Given that the point J(-2,1) is rotated about 270° about the origin.

Coordinates of the resulting point F':

Since, we know that, when rotating a point 270° counterclockwise about the origin, the point (x,y) becomes (y,-x) which means we switch the places of x and y coordinates and make x as negative.

Therefore, the transformation is given by

(x ,y) -> ( y , -x)

Using the above transformation, we have,

(-4 ,-1) ⇒ ( -1 , -(-4)) ⇒ (-1 , 4)

Therefore, the resulting point of the coordinates of the point F' is (-1 ,4)

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The correct option c. 12, is the constant of proportionality.

The ratio between two quantities that are directly proportional is the constant of proportionality.

For the stated question-

f (x) = startfraction 12 over x squared endfraction

Rewrite the function as;

f(x)=12/x^2,

Constant of proportionality = 12 (only fixed term in the function)

Thus, the constant of proportionality for the function f(x)=12/x^2, is found as 12.

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The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.

What is the inequality equation?

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤, or ≥.

To determine the minimum number of sets of glasses that Latanya should buy, we can set up the following inequality:

x * 6 + 390 >= 739

This inequality states that the number of glasses Latanya has after buying x sets of glasses should be greater than or equal to the minimum number of glasses the restaurant needs.

To solve for x, we can subtract 390 from both sides of the inequality to get:

x * 6 >= 739 - 390

x * 6 >= 349

x >= 349/6

x  >= 58.16

x >= 58

Hence, The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.

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The ratio of red marble to blue marble in a bag is 3:4. If there are 42 marble in the bag,There would be 30 red marbles in the bag.

Red and blue marbles are distributed in a 3:4 ratio.This means that for every 4 blue marbles, there are 3 red marbles.

If we divide 42 (the total number of marbles in the bag) by 4, we get 10.5. This tells us that if there are 4 blue marbles, there are 10.5 red marbles. We can't have a fraction of a marble, so we round down to 10.

Since for every 4 blue marbles there are 3 red marbles, if there are 10 blue marbles, there must be 10 x 3 = 30 red marbles.

Therefore, there are 30 red marbles in the bag.

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Answer:

Step-by-step explanation: