The length of the shadow of a pole on level ground increase 90m, when the angle of elevation of the sum changes from 58-38.calculate the height of the pole, correct to 3sf

Answer:

588.76

Step-by-step explanation:

Commission is 7% of total

Total selling price of 516 crates of oranges:

Commission amount:

Answer:

The correct answer is a = 8.

Step-by-step explanation:

To solve this problem, we must remember the formula for slope, which is:

slope = m = (y2 - y1)/(x2 - x1)

Now, we can plug in the values that we are given into the slope formula:

-3/2 = (-3-6)/(a-2)

Now, we should begin to simplify the equation.

-3(a-2) = 2(-9)

We can use the distributive property to eliminate the parentheses on each side of the equation:

-3a + 6 = -18

Then, we can subtract 6 from both sides of the equation to get the variable term alone on the left side of the equation:

-3a = -24

Finally, we should divide both sides by -3 to completely isolate the variable on the left side of the equation:

a = 8

Therefore, the correct answer is a= 8.

Hope this helps!

Answer:

x = 7

Step-by-step explanation:

5x + 9 = 6x + 2

5x - 6x = 2 - 9

-x = -7

x = 7

probe:

5*7 + 9 = 6*7 + 2

35 + 9 = 42 + 2 = 44

Answer:

x = 11

Step-by-step explanation:

The angles shown are alternate exterior angles.  If they are equal, then the lines are parallel

5x+9 = 6x-2

Subtract 5x from each side

5x-5x+9 = 6x-5x-2

9 = x-2

Add 2 to each side

9+2 = x

11 =x

The correct answer is C) 50 parents of college students from the state

Explanation:

The purpose of representative samples is to study a population by only selecting a small group in it. Due to this, the individuals selected as part of the sample need to match the characteristics of the population being studied.

In this context, if the focus is the opinion of parents about college tuition fees in a specific state, it is expected the sample includes parents of college students rather than students, citizens, etc. because the opinion of parents of college students is being evaluated. Moreover, those parents selected should have children in the state being studied. According to this, the correct option is C because this includes individuals who can appropriately represent the population that is being analyzed.

Answer:

50 parents of college students from the state.

Step-by-step explanation:

Sophia Statistics

Answer:

Dear its two variable function so either you should give me other function of x and y or you should give me condition to solve this problem

so see you next time

Step-by-step explanation:

Answer:

Step-by-step explanation

C

Answer:

1. [tex]\dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}[/tex]

2. [tex]y(40) = 110.873 \ kg[/tex]

Step-by-step explanation:

Given that:

A very large tank initially contains 100 L of pure water.

Starting at time t = 0 a solution with a salt concentration of 0.8kg/L is added at a rate of 5L/min.

. The solution is kept thoroughly mixed and is drained from the tank at a rate of 3L/min.

As 5L/min is entering and 3L/min is drained out, there is a 2L increase per minute. Therefore, the amount of water at any given time t = (100 +2t) L

t = (50 + t ) L

Since it is given that we should  consider y(t) to be the  amount of salt (in kilograms) in the tank after t minutes.

Then , the differential equation that  y satisfies can be computed as follows:

[tex]\dfrac{dy}{dt}=rate_{in} - rate_{out}[/tex]

[tex]\dfrac{dy}{dt}=(0.8)(5) -\dfrac{y(t)}{100+2t} \times3[/tex]

[tex]\dfrac{dy}{dt}=(0.8)(5) -\dfrac{3y}{100+2t}[/tex]

[tex]\dfrac{dy}{dt}=4-\dfrac{3y(t)}{100+2t}[/tex]

How much salt is in the tank after 40 minutes?

So,

suppose : [tex]e^{\int \dfrac{3}{100+2t} \ dt} = (t+50)^{3/2}[/tex]

Then ,

[tex]( t + 50)^{3/2} y' + \dfrac{3}{2}(t+50)^{1/2} y = 4(t+50)^{3/2}[/tex]

[tex]( t + 50)^{1.5} y' + \dfrac{3}{2}(t+50)^{0.5} y = 4(t+50)^{3/2}[/tex]

[tex][y\ (t + 50)^{1.5}]' = 4(t+ 50)^{1.5}[/tex]

Taking the integral on both sides; we have:

[tex][y(t + 50)^{1.5}] = 1.6 (t + 50)^{2.5} + C[/tex]

[tex]y = 1.6 (t+50)+C(t+50)^{-1.5}[/tex]

[tex]y(0) = 0 = 1.6(0+50) + C ( 0 + 50)^{-1.5}[/tex]

[tex]0 = 1.6(50) + C ( 50)^{-1.5}[/tex]

[tex]C= -1.6(50)^{2.5}[/tex]

[tex]y(40) = 1.6 (40 + 50)^1 - 1.6 (50)^{2.5}(50+40)^{-1.5}[/tex]

[tex]y(40) = 144 - 1.6 \times 17677.66953 (90)^{-1.5}[/tex]

[tex]y(40) = 144 - 1.6 \times 17677.66953 \times 0.001171213948[/tex]

[tex]y(40) = 144 - 33.12693299[/tex]

[tex]y(40) = 110.873 \ kg[/tex]

Answer:

Step-by-steIn order to go to college, Chris goes from working full-time making $30,000 per year to working part-time at half the salary for two years. The cost of his education will be $5,000. If Chris makes $35,000 per year after getting his degree, approximately how many years will it take him to recover his investment? *

it would take him 7 years to recover the 35,000 he invested

p explanation:

he was in college two years and it cost him a total of 5000 and he lost 30000 from the two years he worked part time

Answer:

[tex]\huge \boxed{24}[/tex]

Step-by-step explanation:

Let if x=12, y=8, and z=3.

[tex]4(12)-(8)(3)[/tex]

Evaluate.

[tex]48-24[/tex]

[tex]=24[/tex]

Start by substituting the appropriate numbers in for

your variables, using parenthses as you go.

You'll get 4(12) - (8)(3).

Now think about your order of operations.

Multiplication comes before subtraction.

So first multiply 4(12) to get 48.

So we have 48 - (8)(3).

Now multiply (8)(3) to get 24.

So we have 48 - 24 which is 24.

Answer:

2 < x < 3

Step-by-step explanation:

Set A)

3x + 4 ≥ 13

3x ≥ 9

x ≥ 3

Set B)

0.5x + 3 ≤ 4

0.5x ≤ 1

x ≤ 2

Plot it out on a number line, and you'll see that 2 < x < 3

Answer:

It's A

Step-by-step explanation:

If you have tickmarks on the segment, on a blank piece of paper, then you count out the spaces to get the length of the segment. This is assuming the tickmarks are properly spaced out. If there aren't any tickmarks, then you'll have to use a ruler to find the length. Either way, a ruler is encouraged.

The coordinate plane makes things easier to find the length of any segment. Use either the pythagorean theorem or the distance formula to find the length of the segment.

Answer:

1.  1 * [tex]x^{3/6}[/tex] = [tex]x^{3/6}[/tex] (it will be equal to the sixth root of x cube)

2.  No, the expression [tex]x^{3}[/tex] X [tex]x^{3}[/tex] X [tex]x^{3}[/tex] will be equal to [tex]x^{3 + 3 + 3 }[/tex] since the powers of      numbers with the same base are added

3. B and D   1/[tex]x^{-1}[/tex] is the same as 'x'

as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be [tex]x^{3/3}[/tex] which will be equal to x

Answer:

717 * 213 = 152721

Step-by-step explanation:

Given

717 and 213

Required

Multiply

Rewrite in the following form

7   1     7

* 2    1    3

---------------------

Start by multiply 717 by 3

7   1     7

* 2    1    3

---------------------

      2   1   5   1

Then multiply 717 by 1

7   1     7

* 2    1    3

---------------------

      2   1   5   1

      7    1   7

Then multiply 717 by 2

7   1     7

* 2    1    3

---------------------

      2   1   5   1

      7    1   7

1   4 3   4

Lastly, add the resulting digits

7   1     7

* 2    1    3

---------------------

      2   1   5   1

      7    1   7

1  4 3   4

--------------------------

1 5 2 7 2 1

Hence; 717 * 213 = 152721

Answer:

30.4 days or 31 days

Step-by-step explanation:

553 - 112 = 441

it took 30 days for 441 cases

30 / 441 = 0.06802721088

1000 - 553 = 447

0.06802721088 x 447 = 30.4081632653

30.4 days or 31 days

Answer:

7.28 years

Step-by-step explanation:

Given that:

A partially amortizing loan of with a present value = $200000

is made with a 4.55%  annual interest rate.

i.e  rate (4.55/100) ÷ 12

= 0.0455  ÷ 12

= 0.00379

A balloon of $20,000 exists on the loan

This implies that the Present value of the loan = 20000

If the monthly payments PMT are $2,500

The number of years that it will require for the loan to be fully repaid can be calculated  by using the EXCEL FUNCTION (=NPER(0.00379;-2500;200000;-20000;0) )

= 87.3997 /12

= 7.28 years

The Excel computation can be found in the attached file below

Answer:

cd

Step-by-step explanation:

Because if you think of a rectangle the parallel side is CD

Answer:

segment CD would be parallel to segment AB

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Los primeros tres son 3.14

Answer:

1. 0.5 for x, 3 for y

2. 1.5 for x, 9 for y

3. 2.5 for x, 15 for y

Step-by-step explanation:

I will explain later if you still need help...but you said you need it fast, so I don't want to be too slow.  :)

Question:

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 55.0 minutes. Find the probability that a given class period runs between 50.75 and 51.5 minutes.. (Round to three decimal places as needed.)

Answer:

[tex]Probability = 0.150[/tex]

Step-by-step explanation:

Given

Type of distribution: Uniform Distribution

Distribution Interval: 50.0 to 55.0

Required

Determine the probability that her class is between 50.75 and 51.5

First, we need to calculate the difference between the distribution interval (D1)

[tex]D1 = 55.0 - 50.0[/tex]

[tex]D1 = 5.0[/tex]

Next is to calculate the difference between the probability interval (D2)

[tex]D2 = 51.50 - 50.75[/tex]

[tex]D2 = 0.75[/tex]

The required probability is calculated by dividing D2 by D1

[tex]Probability = \frac{D2}{D1}[/tex]

[tex]Probability = \frac{0.75}{5.0}[/tex]

[tex]Probability = 0.150[/tex]

Answer:

144

Step-by-step explanation:

Hello, please consider the following.

[tex]x^2-24x+c[/tex]

is a perfect square means that the discriminant is 0.

[tex]\Delta = b^2-4ac=24^2-4c=0\\\\<=>24^2-4c =0<=> 4c=576\\\\\text{We divide by 4}\\\\c= \dfrac{576}{4}=144[/tex]

Thank you

The value of c which make a perfect square trinomial is,

⇒ c = 144

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x² - 24x + c

Now, We can it squared as;

⇒ x² - 24x + c

⇒ x² - 2 × 12x + 144

⇒ x² - 24x + 12²

⇒ (x - 12)²

Thus, The value of c which make a perfect square trinomial is,

⇒ c = 144

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

coordinates of the centroid = [tex](\frac{2}{3} , \frac{2}{3} )[/tex]

Step-by-step explanation:

The curves to be plotted are : y =2x, y = 0, x =1

The coordinates of the centroid ( visually estimated ) can be found by first calculating the area of the region

A = [tex]\int\limits^1_0 {2x} \, dx[/tex]  =   2[tex](\frac{x^2}{2} )[/tex] hence A = 1

attached below is the remaining part of the solution

Answer:

Step-by-step explanation:

Matured amount of $200000 at 4% compounded quarterly after 3 years

= $200000 x ( FVIF , 1 , 12 )

= $200000 X 1. 1268

= $225360 .

Matured amount of $210000 at 3% compounded semiannually  after 2 years

= $210000 x ( FVIF , 1.5 , 4 )

= $210000 X 1. 1268

= $225360 x 1.0614

= $239197

Total amount after maturity

= $225360 + $239197

= $464557

Matured amount of $464557  at 2% compounded annually  after 7 years

= $464557  x ( FVIF , 2 , 7 )

= $464557 x 1.1487

= $533636.6

This amount is more than his target amount of 500000.00 So she meets the goal .

Answer:

Speed= 67.5 miles per hour

Step-by-step explanation:

Google maps has told Juanita that her car trip will be 32 miles.

Juanita has already gone 14 miles.

Remaining miles left to travel

= 32-14

Remaining miles left to travel

= 18 miles

She has only 16 minutes to reach her destination.

The required speed for her to reach her destination

= Distance/time

Her time = 16 minutes

Her time = 16/60

Her time =4/15 hours

Speed= distance/time

Speed= 18 /(4/15)

Speed=18* 15/4

Speed= 67.5 miles per hour

Juanita needs to drive at 67.5 miles per hour to arrive in 16 more minutes

The total distance (D) is given as:

[tex]\mathbf{D = 32miles}[/tex]

She has traveled 14 miles;

So, the remaining distance (d) is:

[tex]\mathbf{d = D -14}[/tex]

This gives

[tex]\mathbf{d = 32 -14}[/tex]

[tex]\mathbf{d = 18}[/tex]

Speed is calculated as:

[tex]\mathbf{Speed = \frac{distance}{time}}[/tex]

Where: distance = 18 miles and time = 16 minutes

So, we have:

[tex]\mathbf{Speed = \frac{18\ miles}{16\ minutes}}[/tex]

Convert time to hour

[tex]\mathbf{Speed = \frac{18\ miles}{16/60\ hour}}[/tex]

So, we have:

[tex]\mathbf{Speed = \frac{18 \times 60\ miles}{16\ hour}}[/tex]

[tex]\mathbf{Speed = \frac{1080\ miles}{16\ hour}}[/tex]

Divide

[tex]\mathbf{Speed = 67.5\ miles/ hour}[/tex]

Hence, the speed is 67.5 miles per hour

Read more about speed and distance at:

https://brainly.com/question/21791162

Answer:

The 90% confidence interval is  [tex]0.445< p < 0.456[/tex]

Step-by-step explanation:

From the  question we are told that

  The sample  size is  [tex]n = 17592[/tex]

  The number of  binge  drinkers is  [tex]k = 7851[/tex]

Given that the  confidence level is  90%  then the level of significance is mathematically represented as

          [tex]\alpha = (100 - 90)\%[/tex]

          [tex]\alpha = 0.10[/tex]

The critical value  of  [tex]\frac{\alpha }{2}[/tex]  from the normal distribution table  is  [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

The  sample  proportion is mathematically represented as

      [tex]\r p = \frac{ 7851}{ 17592}[/tex]

      [tex]\r p = 0.45[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{ \frac{x}{y} } * \sqrt{\frac{\r p(1 - \r p )}{n} }[/tex]

       [tex]E =1.645 * \sqrt{\frac{ 0.45 (1 - 0.45 )}{17592} }[/tex]

      [tex]E =0.00617[/tex]

The  90%  confidence interval is mathematically represented as  

      [tex]\r p -E < p < \r p +E[/tex]

      [tex]0.45 -0.00617 < p < 0.45 + 0.00617[/tex]

      [tex]0.445< p < 0.456[/tex]

Answer:

There is no opposite of 0.

Step-by-step explanation:

There cannot be a zero the opposite of zero. If there was, then there would be two 0's, and there is only one.

Answer:

A. The risk of type l error increases and becomes too high.

Step-by-step explanation:

The overall level of significance increases as the number of t- tests ( used for comparing two, three or four means separately ) increases. This in turn increases the risk of type I error.

We might be tempted to apply the two sample t- test to all possible pairwise comparisons of means. This type of running t- test to several means comparison has the risk of increasing overall level of significance

Answer:

-625,3125

Step-by-step explanation:

Im not saying this is correct but it looks like its multipling by 25

Answer:

Yes, this is a function

Step-by-step explanation:

This relation is function because 1 x value corresponds to 1 y value

Answer:

see below (I hope this helps!)

Step-by-step explanation:

We can see that every 3 tick marks on the line is 1, therefore, the space between 2 tick marks is 1/3. Using this information, we can see that A = [tex]-3\frac{1}{3}[/tex]. The absolute value of a negative number is simply the additive inverse of the number, therefore, our answer is [tex]-(-3\frac{1}{3}) = 3\frac{1}{3}[/tex].

Answer:

[tex]t=22[/tex]

Step-by-step explanation:

First, note that the entire thing is a square. This is because since two of the opposite angles are right angles, the remaining two must also be right angles.

In a square, all four sides are equivalent.  

Therefore, the sides PS an RS are equal to each other. Thus:

[tex]PS=RS\\t+22=2t\\22=t\\t=22[/tex]