A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Find the angle of elevation to the shuttle when the height of the shuttle is 300 meters.

Answer:

The distribution is  Poisson distribution

Step-by-step explanation:

From the question we are told that

   An expected number of fish was caught per hour is  1.5

The distribution that best characterize the number of fish you catch in one hour of fishing is the Poisson distribution

   This because generally the  Poisson distribution is a distribution that shows the number of times a given event will occur within a defined period of time

Answer:

a. False b. True c. True d. False e. False

Step-by-step explanation:

Answer:

A) 64x + 285 = 605

B) 5 hours

Step-by-step explanation:

64x + 285 = 605

64x + 285-285 = 605 - 285

64x = 320

64x/64 = 320/64

x = 5

Double check

($605 Total - $285 parts) / $64 Hourly rate = Labor per hour

$320 Labor / $64 Hour = 5 hours

or 64x

Answer:

4. 53

5. 66

6. 89

7. 31

Step-by-step explanation:

4.  14 + 18 + 21

     ^      ^

        33 + 21

            53

5.  86 - 20

        66

6.  34 + 55

        89

7.  14 + 11 + 6

     ^     ^

      25 + 6

          31

Answer:

ST, RS, RT

Step-by-step explanation:

Angles of a triangle add up to 180°.

2x + 11° + 3x + 23° + x + 42° = 180°

6x + 76° = 180°

x = 17⅓

m∠R = 2x+11° = 45⅔°

m∠S = 3x+23° = 75°

m∠T = x+42° = 59⅓°

The shortest side is opposite the smallest angle, and the longest side is opposite the largest angle.

ST, RS, RT

Answer:

what's the problem!?......

angle CDT is the opposite angle of ADN

and the segment DF=FN, so AD= AN

and thats why angle FAN= angle FAD

here, Angle FAN =60,

therefore, FAD=60, and AFD = 90 so angle ADN must be 30 degree

and the opposite of ADN is CDT, and the opposite angles are equal.

Hope u got it.

Answer:

w = -46/5

Step-by-step explanation:

Answer:

w=-9.2

Step-by-step explanation:

7(w+8)=2w+10

7w+56=2w+10

7w-2w=10-56

5w=-46

w=-9.2

Answer:

x< -3 and 0 < x < 4

Step-by-step explanation:

x^3 – x² <12x​

Subtract 12x from each side

x^3 -x^2 - 12x< 0

Factor

x( x^2 -x-12) <0

Factor

x( x-4) ( x+3) < 0

Using the zero product property

x=0   x=4  x=-3

We have to check the signs regions

x < -3

-( -) (-) < 0   True

-3 to 0

-( -) (+) < 0   False

0 to 4

+( -) (+) < 0   True

x>4

+( +) (+) < 0   False

The regions this is valid is

x< -3 and 0 < x < 4

Answer:

a) 0

b) 2,3,4,5,6,7

c)3,4,6,7

Step-by-step explanation:

Answer:

Jamal will have made 12 more T-shirts than Sean on the 6th day.

Step-by-step explanation:

1 day for Jamal - 6 T-shirts.                                                                                        1 day for Sean - 4 T-shirts.                                                                                               2 day for Jamal - 12 T-shirts.                                                                                                  2 day for Sean - 8 T-shirts.                                                                                                     3 day for Jamal - 18 T-shirts.                                                                                              3 day for Sean - 12 T-shirts.                                                                                               4 day for Jamal - 24 T-shirts.                                                                                                  4 day for Sean - 16 T-shirts.                                                                                                   5 day for Jamal - 30 T-shirts.                                                                                                5 day for Sean - 20 T-shirts.                                                                                             6 day for Jamal - 36 T-shirts.                                                                                                   6 day for Sean - 24 T-shirts.                                                                                           Number between 24 and 36 = 12.

Answer:

Error in calculated area = [tex]\pm 10.3 cm^2[/tex]

Step-by-step explanation:

x = 58 cm

y = 45 cm

A = x*y

delta A

= delta (x*y)

= y delta x + x delta y  (neglecting small qty delta x * delta y = 0.01)

= 45(0.1) + 58(0.1)

= 103(0.1)

= 10.3 cm^2

Answer:

y = 6x ^2 - 6x + 9

Step-by-step explanation:

hopefully it's visible

:)

Answer:

Step-by-step explanation:

x + 2y = 2

2x + 4y = -8

-2x - 4y = -4

 2x + 4y = -8

0 not equal to -12

no solution

Answer:

B) 2

/////////////////

he would need about 5 more hits to make his average equal to that in 2021

128/501 = .255

The player needs 5 consecutive hits in order to raise his 2010 batting average to that of 2011.

An average of a list of data is the expression of the central value of a set of data. It is also defined as the ratio of summation of all the data to the number of units present in the list.

It is given that a professional player had 123 hits and 501 at-bats in 2010 and in 2011, he had 131 hits and 515 at-bats.

Also, the baseball player's batting average is equal to the number of hits divided by the number of at-bats.

Average in 2010 - 123/501 = 0.245 .

Average in 2011 - 131/515 = 0.254 .

Thus if he increases the number of shots to 5 then we have the total number of shots as 123 + 5 = 128 .

Therefore the batting average for 2010 becomes - 128/501 = 0.255 which matches the batting average of 2011.

Thus, the player needs 5 consecutive hits in order to raise his 2010 batting average to that of 2011.

To learn more about average, refer -

https://brainly.com/question/1635504

#SPJ2

Answer:

convert the 27 degree into grades

Answer:

1 ft

Step-by-step explanation:

1, 480/30=16

2, 16/16=1

3, 1 ft

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then the quantity of 55% solution is (130-x) and the total amount of antifreeze in the mix is ...

  0.55(130 -x) +0.80(x) = 0.70(130)

  0.25x +71.5 = 91 . . . simplify

  0.25x = 19.5 . . . . . . subtract 71.5

  x = 78 . . . . . . . . . . . divide by 0.25; amount of 80%

  130-78 = 52 . . . . amount of 55%

52 gallons of the 55% brand, and 78 gallons of the 80% brand must be used.

Complete Question

The complete question is shown on the first uploaded image

Answer:

Option C is the correct option

Step-by-step explanation:

From the question we are told that

   The equation is  [tex]f (x, y , z ) = x^2 +y^2 + z^2[/tex]

    The constraint is  [tex]P(x, y , z) = x + y + z - 24 = 0[/tex]

Now using Lagrange multipliers  we have that  

   [tex]\lambda = \frac{ \delta f }{ \delta x } = 2 x[/tex]  

   [tex]\lambda = \frac{ \delta f }{ \delta y } = y[/tex]  

   [tex]\lambda = \frac{ \delta f }{ \delta z } = 2 z[/tex]

=>       [tex]x = \frac{ \lambda }{2}[/tex]

          [tex]y = \frac{ \lambda }{2}[/tex]

         [tex]z = \frac{ \lambda }{2}[/tex]

From the constraint  we have

      [tex]\frac{\lambda }{2} + \frac{\lambda }{2} + \frac{\lambda }{2} = 24[/tex]

=>   [tex]\frac{3 \lambda }{2} = 24[/tex]

=>   [tex]\lambda = 16[/tex]

substituting for x, y, z

=>   x =  8

=>  y =  8

=>   z =  8        

Hence

    [tex]f (8, 8 , 8 ) = 8^2 +8^2 + 8^2[/tex]

    [tex]f (8, 8 , 8 ) = 192[/tex]

Answer:

[tex]a = 6m/s^2[/tex]

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

[tex]a\ \alpha\ \frac{1}{m}[/tex]

Convert variation to equality

[tex]a = \frac{F}{m}[/tex]; Where F is the constant of variation (Force)

Make F the subject of formula;

[tex]F = ma[/tex]

When mass = 4kg; Acceleration = 15m/s²

[tex]F = 4 * 15[/tex]

[tex]F = 60N[/tex]

When mass = 10kg; Substitute 60 for Force

[tex]F = ma[/tex]

[tex]60 = 10 * a[/tex]

[tex]60 = 10a[/tex]

Divide both sides by 10

[tex]\frac{60}{10} = \frac{10a}{10}[/tex]

[tex]a = 6m/s^2[/tex]

Hence, the acceleration is [tex]a = 6m/s^2[/tex]

Answer:

( x +4)^2 + ( y-7)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

( x-h)^2 + ( y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x- -4)^2 + ( y-7)^2 = 6^2

( x +4)^2 + ( y-7)^2 = 36

Answer:

(x+4)[superscript]2 + (y-7)[superscript]2 = 36

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▹ Answer

x = 5

▹ Step-by-Step Explanation

The x-axis and y-axis are labeled on the graph. The x-axis is the horizontal axis. Between 4 and 6, there is a missing number. That number should be 5, leaving us with an x-value of 5 for Point A.

Hope this helps!

CloutAnswers ❁

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Answer:

The x value is 5

Step-by-step explanation:

The x value is the value going across

Starting where the two axis meet, we go 5 units to the right

That is the x value

Answer:

Triangle

Step-by-step explanation:

Answer:

32. A

33. B

Step-by-step explanation:

32. Mean: In order to find the mean, add all of the #up which is 194 then divide by how many # there is

33. Start by crossing out the beginning # and the end # all the way till you get the # without another pair in the end

Answer:

see below

Step-by-step explanation:

n < 2^n

First let n=1

1 < 2^1

1 <2  This is true

Next, assume that

(k) < 2^(k)

as we attempt to prove that

(k+1) < 2^(k+1)

.

.

.

Therefore we can conclude that

k+1 < 2^(k+1)

Answer:

Step-by-step explanation:

Hello, please consider the following.

First, assume that n equals [tex]\boxed{1}[/tex]. Therefore, [tex]\boxed{1<2^1}[/tex] is [tex]\boxed{\text{True}}[/tex]

Next, assume that [tex]\boxed{k<2^k}[/tex], as we attempt to prove [tex]\boxed{k+1<2^{k+1}}[/tex]

Since .... Therefore, we can conclude that [tex]\boxed{k+1<2^{k+1}}[/tex]

The choice for the last box is confusing. Based on your feedback, we can assume that we are still in the step 2 though.

And the last step which is not included in your question is the conclusion where we can say that we prove that for any integer [tex]n\geq 1[/tex], we have [tex]n<2^n[/tex].

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

Greetings from Brasil...

The TV format is 4:3.

4 ÷ 3 = 1.33...

Let's assign the smallest side of the TV screen as X. Since the ratio between the sides is 4:3 = 1.33, then the other side (the largest) will be 1.33 times larger than the smaller side X, that is

smaller side  = X

bigger side = 1.33X

The diagonal expression of the rectangle is:

D = √(base² + height²)

35" = √[(1.33X)² + X²]

35" = √(1.7689X² + X²)       squaring both members

(35")² = 1.7689X² + X²

1225" = 2.7689X²

X² = 1225/2.7689

X² = 442.414

X = √442.414

X ≅ 21"

Tthe bigger side:

1.33X

1.33 · 21 ≅ 28"

Rectangle Area = base × height

Rectangle Area = 28 × 21