Solve for x. Round to the nearest tenth of a degree, if necessary.

Solve For X. Round To The Nearest Tenth Of A Degree, If Necessary.

Answers

Answer 1

Check the picture below.

[tex]tan(x)=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{42}}\implies tan(x)=\cfrac{25}{21}\implies x=tan^{-1}\left( \cfrac{25}{21} \right)\implies x\approx 50^o[/tex]

Make sure your calculator is in Degree mode.

Solve For X. Round To The Nearest Tenth Of A Degree, If Necessary.

Related Questions

Use the given zero to find the remaining zeros of each function.

Thank you!! :)

Answers

Answer:

  remaining zeros: {-1/2, √3}

Step-by-step explanation:

Given the polynomial function f(x) = 2x³ +x² -6x -3 has one zero at x = -√3, you want the remaining zeros.

Conjugate zeros

A polynomial with rational real coefficients and zeros that are roots or complex numbers will have all such roots in conjugate pairs.

The root that is the conjugate of -√3 is +√3.

Product of roots

The product of the roots of an odd-degree polynomial will be the opposite of the ratio of the constant to the leading coefficient. Here, that means the product of roots is ...

  -(-3/2) = 3/2

We already know that two of the three roots are ±√3, so their product is -3. The remaining root will be ...

  (3/2)/(-3) = -1/2

The remaining zeros of f(x) are √3 and -1/2.

__

Additional comment

When the degree of the polynomial is even, the constant term will be the product of the roots. This odd/negative, even/positive behavior comes from the fact that each zero (q) corresponds to a factor (x -q).

The product of these binomial factor constants is the constant in the standard-form polynomial. It will have a negative sign if there are an odd number of factors.

a rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum​ area?

Answers

As describes in geometry the area of the rectangle = 288cm

what is geometry ?

The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.

solution

radius of semicircle = 12

diameter will be = 24 and this is the length of rectangle s given in the question

area of the rectangle  = l*b

                                     = 24*12

area of the rectangle = 288cm

Hence the area of the rectangle = 288cm

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Kelli walks no more than 25 dogs on Mondays. Ms. Lincdan has 5 dogs that Kelli walks. The inequality shown can be
used to find x, the number of dogs Kelli can walk on Monday in addition to Ms. Lincoln's dogs.
x + 5 ≤ 25
Which inequality represents all possible values of x?
A x ≥ 20
B x ≤ 20
C x ≥ 30
D x ≤ 30

Answers

The answer is B , x is greater than or equal to 20

If you walk around a circular path twice which has a diameter of 100 m, how far did you walk in total?
The total distance Is
m.
Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

628 m

Step-by-step explanation:

We need to find the circumference, C, of the circle.

C = πd

C = 3.14 × 100 m

C = 314 m

Walking around the circular path twice is twice the length of the circumference.

distance = 2C = 2 × 314 m = 628 m

Sketch the region bounded by the curves, and visually estimate the location of the centroid. Y = ex, y = 0, x = 0, x = 3.

Answers

The centroid appears to be in the middle of the base and one-third of the way up the triangle, at (1.5, e^1).

The center of the object is represented by the centroid. The centroid of a triangle is the location where the triangle's three medians cross. The intersection of all three medians is another definition of it. The median is a line that connects the middle of a side to the opposite vertex of a triangle. The region bounded by the curves is a triangle with the tip at (0, e^0) and the base at (3, 0). The centroid appears to be in the middle of the base and one-third of the way up the triangle, at (1.5, e^1).

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hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age. how old will her brother be in 5 years?

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hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age then brother age will be 19 years

The concept of age describes how old a person is at a particular point in time. It is defined as the measure of the time elapsed from date of live birth to a specific point in time, usually the date of collection of the data

Hana is 4 years older then her brother

let x be brother present age

and x+4 be the hana present age

2 year ago

hana was x+2

and brother was x-2

according to the question

x-2= 3/4 * ( x+2)

x= 14

after 5 years he will be 19 years

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(5+9i)+(4-5i) simplify

Answers

Answer:

9 + 4i

Step-by-step explanation:

5 + 4 + 9i - 5i

=> 9 + 4i


PLEASE HELP ASAPPP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING.

Answers

Answer:

0.40

Step-by-step explanation:

.04 x 10 = .40

Answer: $0.40

Step-by-step explanation: The sales tax will be 4% of the selling price

The end price will be 10.40

discrete 5 dice of different colors are rolled, and the number coming up on each die is recorded. how many different outcomes are possible?

Answers

The number of total different outcomes are, 7,776.

What is rolling dice?

Every face of a cube known as a dice has a unique number.

By throwing a dice into the air, players can advance in any game by getting a certain number. Typically, this dice or dice has numbers from 1 to 6 written on each face or side of the cube-like shape.

Given:

Discrete 5 dice of different colors are rolled, and the number coming up on each dice is recorded.

Since all the dice are of different colors.

So any combination of the numbers on the dice is unique.

Dice has numbers 1 to 6.

So, for each dice there are 6 possibilities.

Since number coming on a dice is independent to the number coming on the another dice.

So, total different outcomes are = 6 x 6 x 6 x 6 x 6 = 6^5 = 7776.

Hence, the number of total different outcomes are, 7,776.

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the number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

Answers

By using the concept of complex number, it can be calculated that

There is only one complex number which satisfies  |z – 1| = |z + 1| = |z – i|  

What is a complex number?

Any number of the form a+ib where, a and b are real numbers and           i = [tex]\sqrt{-1}[/tex] are called complex number.

Let z = x + iy

[tex]|z - 1|^2 = |z + 1|^2 = |z - i|^2[/tex]

[tex]|x + iy - 1|^2 = |x+iy + 1|^2 = |x+iy - i|^2\\(x-1)^2+y^2 = (x+1)^2+y^2 = x^2+(y -1)^2[/tex]

So the point (x, y) is equidistant from (1, 0), (-1, 0) and (0, 1)

(0, 0) is the only point which is equidistant from (1, 0), (-1, 0) and (0, 1)

z = 0 is the only complex number which satisfies  |z – 1| = |z + 1| = |z – i|

There is only one complex number which satisfies  |z – 1| = |z + 1| = |z – i|  

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Think about all of the ways in which a line and a parabola can intersect. Select all of the number of ways in which a line and a parabola can intersect. 0 1 2 3 4 infinitely many

Answers

Answer:3

Step-by-step explanation:3

1. You'll find the glue and scissors in ___

*There
*Their
* They're

Answers

You’ll find the glue and scissors in there

Please help me ASAP!!
Create a graph of this situation.
Show that the equation (y = mx + b) of this graph equals an= -30 + (n - 1)5

Answers

The equation (y = mx + b) of this graph is equal to the equation for this arithmetic sequence aₙ =  a₁ + (n - 1)d

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

For the 10th term, the equation for the arithmetic sequence is given by;

a₁₀ =  a₁ + (n - 1)d

15 =  a₁ + (10 - 1)d

15 =  a₁ + 9d

For the 14th term, the equation for the arithmetic sequence is given by;

a₁₄ =  a₁ + (n - 1)d

35 =  a₁ + (14 - 1)d

35 =  a₁ + 13d

Next, we would determine the common difference as follows;

a + 9d = 15

a + 13d = 35

-4d = -20

Common difference, d = -20/-4

Common difference, d = 5.

For the first term of this arithmetic sequence, we have;

a + 9d = 15

a + 9(5) = 15

a = 15 - 45

First term, a = -30

Finally, we would write an equation for the nth term of an arithmetic sequence as follows;

aₙ =  a₁ + (n - 1)d

aₙ =  -30 + (n - 1)5

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Of the 47 plays attributed to a​ playwright, 11 are​ comedies, 16 are​ tragedies, 20 are histories. If one play is selected at​ random, find the odds against selecting a

Answers

The odds against selecting a history are 31/16.

Define probability.

Probability is the concept that describes the likelihood of an event occurring. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an event or not. When this occurs, we state that there is a possibility that the event will occur.

Probability is the ratio of the most likely outcomes to all other possible outcomes of an event. The number of successful outcomes for an experiment with 'n' outcomes may be expressed using the symbol x. The following formula can be used to determine the likelihood of an event.

Probability(Event) = favorable outcome/Total outcome = x/n

Number of playwrights = 47

Number of tragedies = 16

Therefore, the odds against selecting tragedies are

(47 - 16) / 16

= 31/16

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The complete question is:

Of the 47 plays attributed to a​ playwright, 11 are​ comedies, 16 are​ tragedies, 20 are histories. If one play is selected at​ random, find the odds against selecting a tragedy.

On a coordinate plane, 2 trapezoids are shown. Trapezoid 1 has points A (negative 4, 3), B (1, 3), C (0, 0), and D (negative 3, 0). Trapezoid 2 has points A prime (negative 1, 1), B prime (4, 1), C prime (3, negative 2), and D prime (0, negative 2).
Which rule describes the translation?

T–3, –2(x, y)
T–3, 2(x, y)
T3, –2(x, y)
T3, 2(x, y)

Answers

The rule of translation will be; Horizontal shift by 3 units right and vertical shift by 2 units down (x, y) → (x + 3, y -2)

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

For the shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

Given that Trapezoid 1 with vertices

A(-4, 3), B(1, 3), C(0, 0), D(-3, 0)

Trapezoid 2 with vertices are;

A'(-1, 1), B'(4, 1), C'(3, -2), D'(0, -2)

It can be observed by comparison that the x-values have increased by 3 units and the y-values have decreased by 2 units

So the rule of translation will be; Horizontal shift by 3 units right and vertical shift by 2 units down (x, y) → (x + 3, y -2)

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ten points labeled a, b, c, d, e, f, g, h, i, j are arranged in a plane in such a way that no three lie on the same straight line. (a) how many straight lines are determined by the ten points?

Answers

Total number of straight lines are 45 and it can be found out using combination.

What is combination?

A combination could be a choice of things from a collection that has distinct members, such the order of choice doesn't matter.

Main body:

Total points = 10

we need to find no three lie on the same straight line.

so , to find we can select 2 lines out of 10 and assume packing them together so  no 3 points lie on a line .

selection of 2 points out of 10.

C(10,2) = ¹⁰C₂

           = 10!/2!8!

           = 10*9/2

           = 45 lines.

Hence ,Total number of straight lines are 45 .

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You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 units. How many units did you sell?.

Answers

Using simple mathematical operations, we know that we sold a total (D) of 50 units of orange juice.

What are mathematical operations?

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

The order of operations refers to the rules that define the sequence in which we should perform the operations necessary to solve an equation.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are collectively referred to as PEMDAS.

So, we begin the week with 30 units of orange juice.

We purchase more than 50 units of orange juice.

Total: 30 + 50 = 80 units

Our ending inventory was 30 units.

Units of orange juice sold: 80 - 30 = 50 units

Therefore, using simple mathematical operations, we know that we sold a total (D) of 50 units of orange juice.

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Complete question:

You begin the week with 30 units of orange juice. You purchase 50 units. Your ending inventory for the week is 30 units. How many units did you sell?

a) 5

b) 15

c) 49

d) 50

What was the beginning balance in the incomplete register shown? Date 10/21/03 Description of Transaction Payment Deposit Balance Beginning Balance Mike's Cafe 10/26/03 Sporting Goods Store Paycheck Amusement Park $38.25​

Answers

The required balance at the beginning of the incomplete register is $38.25.

Given that,
To determine the beginning balance in the incomplete register.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
In the table, in the register, the balance starts with an entry of $38.25 paycheck. So, the 1 st entry of the register shows the balance in the beginning.

Thus, the required balance at the beginning of the incomplete register is $38.25.

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A line join A (3,2) and B (3,-3) on a half centimetre grid. P i a point on the line AB uch that AP:PB =3:2
ue the x tool to plot point P

Answers

The co-ordinates of the point P that divides the line segment AB in the ratio 3:2 are (3,0)

What is Line Geometry?

A line is an endlessly long object with no breadth, depth, or curve in geometry. Lines are thus one-dimensional objects, even if they can exist in two, three, or higher dimensions. In ordinary language, the term line can also refer to a line segment with two points denoting its endpoints.

Solution:

To find the co-ordinates of point P we wil use section formula

(x,y) = (m*x2 + n*x1 / m+n), (m*y2 + n*y1 / m+n)

(x,y) = (3*3 + 2*3)/5 , (3*2 + 2*(-3))/5

(x,y) = 15/5 , 0/5

(x,y) = 3,0

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19. a television set is on sale for 15% off the original price. if the sale is $340, what was the original price of the televisions set?

Answers

Using the percentage method, we know that the original price of the TV set was $400.

What is the percentage?

Percentages are just fractions with a denominator of 100.

To show that a number is a percentage, we place the percent sign (%) next to it.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, we know that the percentage is always out of 100.

Then we automatically know that:

100% - 15% = 85%

We know:
85% = $340

15% = ?

Now, calculate the reduced price as follows:
85/340 = 15/x

85x = 15(340)

85x = 5,100

x = 5100/85

x = $60

Original price of the TV set:

Sold cost + Reduced cost

$340 + $60

$400

Therefore, using the percentage method, we know that the original price of the TV set was $400.

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question professor liu gave the same quiz to the students in her morning class and in her afternoon class. the average (arithmetic mean) score for the two classes combined was 84. which class had more students?

Answers

From the given average the number of students are more in the afternoon quiz as compare to the morning quiz .

As given in the question,

Combined average score of the two classes = 84.

Average score of students in the morning quiz = 80

Let 'x' be the number of students in the morning quiz

80 = ( Sum of all number of students in the morning quiz) / x

⇒  Sum of all number of students in the morning quiz = 80x __(1)

Average score of students in the afternoon quiz = 86

Let 'y' be the number of students in the afternoon quiz

86 = ( Sum of all number of students in the afternoon quiz) / y

⇒  Sum of all number of students in the afternoon quiz = 86y __(2)

Average score of combined classes = ( 80x + 86y ) / (x + y)

⇒ 84 = ( 80x + 86y ) / (x + y)

⇒ 84x + 84y = 80x + 86y

⇒4x = 2y

⇒ y = 2x

Number of students in the afternoon are double  the number of students in the morning.

Therefore, from the given averages afternoon class has more number of students than morning class

The complete question is :

Professor Liu gave the same quiz to the students in her morning class and in her afternoon class. The average (arithmetic mean) score for the two classes combined was 84. Which class had more students?(1) The average score for the students in the morning class was 80

(2) the average score for the students in the afternoon class was 86

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if a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 0 heads?

Answers

The probability of getting exactly 0 heads is, 0.031.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

A fair coin is tossed 5 times.

So, the the total number of possibilities are,

[tex]2^5= 32[/tex]

We have to find the probability of getting exactly 0 heads.

The only possible set of flips that yields 0 heads is {T, T, T, T, T}.

So,

The probability is, [tex]\frac{1}{32}=0.03125[/tex]

Probability ≈ 0.031

Hence, the probability of getting exactly 0 heads is, 0.031.

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given 2n letters, two of each of n types, how many arrangements are there with no pair of consecutive letters the same?

Answers

The arrangements are there with no pair of consecutive letters the same is ∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k).

Explain arrangements are there with no pair of consecutive letters the same.

The past step makes six void spots in which three Is might be sorted out, however just three spots should be picked. Request doesn't make any difference, as every one of the three Is are something similar. Along these lines, there are (63) approaches to picking those spots.

According to question:

Given 2n letters, two of every one of n types. What number of courses of action of these letters are there without any sets of sequential letters something similar? Kindly look at my answer and let me know where my mix-up is!

So such plans where the sets of indistinguishable letters are discernable. Then, at that point, ∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k) gives the quantity of such plans by incorporation avoidance (there are (2n−k)! ways for k given matches to be together (by combining the those sets into single components) and the rest randomly requested, 2k ways of requesting inside those given matches, and C(n,k) ways of picking those k pairs).So we can acquire the recipe

∑ₐⁿ(−1)^k2^k(2n−k)!C(n,k)

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0.5 power of 2 + 0.3 power of 2?

Answers

Answer:

8.9

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

[tex] {0.5 }^{2} + {0.3}^{2} \\ 0.25 + 0.09 \\ = 0.34[/tex]

(I'm not sure if this is what you meant)

A new car is purchased for 22600 dollars. The value of the car depreciates at 11. 5% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5200 dollars?.

Answers

When the car is acquired for $22600 and depreciates at an 11.5% rate, it will take 6.7 years for its worth to reach $5200.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Here,

Cost of car=$22600

Rate of depreciation=11.5%

After n years, value of car=$5200

Annual depreciation expense=22600*11.5%

=$2599

Value of the Car = Purchase cost - (Annual depreciation expenses * n)

5200=22600-(2599*n)

2599n=22600-5200

2599n=17400

n=6.695

n=6.7 years

The number of years until the value of the car is 5200 dollars at depreciation rate of 11.5% when purchased at 22600 dollars will be 6.7 years.

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The length of a rectangle is 5 more than twice the width. The perimeter is 130 in. What is the area?

Answers

Answer:

900

Step-by-step explanation:

l = 2w + 5

2(2w + 5) + 2w = 130

4w + 10 + 2w = 130

6w + 10 = 130

6w = 120

w = 20

l = 2(20) + 5

l = 40 + 5

l = 45

130 = 2(45) + 2(20)

130 = 90 + 40

130 = 130

A = l × w

A = 45 × 20

A = 900

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Write an equation of the line that passes through (-6, 0) and (0, -24) .

Answers

Answer: y= -4x -24

Step-by-step explanation:

The equation is y=mx + b

We know the b is -24 because it already tells us the coordinate of the y-intercept is (0, -24), so we only need to find x by looking at the rise over run.

The rise is -24, and the run is 6, so -24/6 = -4

So the equation is y= -4x -24

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analyze the solution to the system to determine whether there is a catapult arm length that aiden and natalie can both use to launch their tennis balls the same distance. explain your reasoning.

Answers

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

From the graph,

x axis represents the arm length of the catapult and the y axis represents the distance.

The point at which the catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance is the intersecting point of the both line

The coordinates of the intersecting point = (-30, 90)

Here arm length represents -30, but the arm length cannot be a negative value

Therefore, there is no arm length that gives equal distance

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Answer:

There is no catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance.

Step-by-step explanation:

Evaluate the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 3, 0 ≤ v ≤ 2.

Answers

the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v is 10[tex]\sqrt{14}[/tex]

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

∂r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

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An airplane is preparing to land at an airport. It is 40,600 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be?
" They will be at the same altitude in ? ​minutes, when their altitude will be ? feet. "

Answers

Answer:

2.5x103

Step-by-step explanation:

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Independent random samples taken at two companies provided the following information regarding annual salaries of the employees. The population standard deviations are also given below. Company A Company B Sample Size 72 50 Sample Mean (in $1000) 48 43 Population Standard Deviation (in $1000) 12 10 a. We want to determine whether or not there is a significant difference between the average salaries of the employees at the two companies. Compute the test statistic. b. Compute the p-value; and at a=.05, test the hypotheses. c. Which company, if either, appears to have the higher salary? Provide a 95% confidence interval for the difference between the population mean salary of employees for the two companies. Question 2 (1 poingThis table shows the total shipping costs for objects ofdifferent weights.Shipping Costs$6.00$3.00$1.50O $1.25Weight of Object(in pounds)481216Total Shipping Cost(in dollars)5111723Based on the information in the table, by how many dollarsdoes the total shipping cost increase if the weight of anobject increases by 1 pound? a pregnant woman has undergone prenatal screening that has revealed evidence of congenital heart defect in the fetus. the nurse interprets this finding as indicative of which type of inheritance? what clinical manifestations does the nurse recognize when a patient has had a right hemispheric stroke? quilzet is the maximization of profit margin (profit as a percentage of total sales) a valid financial objective of a corporation? discuss. What solid substances are found in rocks that make up the Earth's crust?A. ConcreteB. PlasticsC. MineralsD. Miners Ahely' brother rode beide her for everal minute. During thi time wa he moving relative o Ahley? What are some of the positive things that happened in America as a result of WWI? What newopportunitiesdid people have? the preoperative nurse has prepared a client for surgery and has been notified that the operating room staff is ready for the client. the client states, "my bladder feels full. i need to go to the bathroom!" which action by the nurse is appropriate? Write a narrative detailing the sequence of events a high school student experiences from their arrival at school to the dismissal at the end of the school day. Pay special attention to characters, setting, dialogue and plot. A forensics analyst is attempting a live acquisition of the contents of the memory of a running Linux device. In order to copy the blocked /dev/mem file with memdump or dd, the analyst must install a kernel driver. Recommend a framework that will enable the analyst to install a kernel driver. why is 3m so vulnerable to fluctuations in exchange rates? what long term strategies could 3m pursue to minimize its exchange rate exposure? this very slow wired technology uses the phone line; an inexpensive isp subscription should be the only additional cost, but you cannot connect to the internet and use your phone on the same line simultaneously. 15 points Find the unknown side length. Round to the nearest tenth. Enter your answer in the box An 8.0 lb blowing ball has a diameter of 8.5 inches. When lowered into water, this ball will A. Float. B. Sink. C. Have neutral buoyancy. you are driving to campus and notice that there is an injured cat lying on the side of the road presumably the victim of a hit-and-run. you are in a very busy part of town, however, so you decide that your help probably isn't needed (someone else will attend to the cat and call for help, if they haven't already). social psychologists would say that ____ prevented you from helping in this case. Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.If y = -4 when x = 2, find y when x = 3 .ur answer should have ,-6 Which of the following best defines an interpersonal relationship in which one individual (or group) has the ability to cause another individual (or group) to take an action that would not be taken otherwise?Group of answer choicesAttitudeExpertiseType: MCLeadershipPowerMotivation the strong law of large numbers states that, with probability 1, the successive arithmetic averages of a sequence of iid random variables converge to their common mean . what do the successive geometric averages converge to? t PLSSSSS ANSWER PRETTY PLSSSSSSelect the correct answer. Which of the following teaching tools would be appropriate for a high school chemistry course? A. telescopes B. posters with inspirational quotes C. beakers and chemicals D. full-size skeleton E. dissection kits