Two sides of a triangle have the same length. The third side measures m less than twice the common length. The perimeter of the triangle is m. What are the lengths of the three​ sides?

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:

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:

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:

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

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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:

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:

-625,3125

Step-by-step explanation:

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

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:

588.76

Step-by-step explanation:

Commission is 7% of total

Total selling price of 516 crates of oranges:

Commission amount:

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:

"proportional to"

Step-by-step explanation:

The sign ∝ means 'is proportional to'. This is used to show that one variable of value is proportional to another value or variable.

Example:

Hope this helps.

Division is one of the four fundamental arithmetic operations. Andrew is faster than Noah.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Andre can now complete 135 multiplication facts in 90 seconds.

A.) If Andre is answering questions at a constant rate, then the number of facts that Andre can answer per second can be written as,

Number of facts per seconds = 135 facts / 90 seconds

                                                 = 1.5 facts per seconds

B.) Noah also works at a constant rate, and he can complete 75 facts in 1 minute. Therefore, the number of facts that Noah can answer per second can be written as,

Number of facts per seconds = 75 facts / 60 seconds

                                                 = 1.25 facts per seconds

Now, since the number of facts that Andrew can read in a second is 1.5 facts, while the number of facts that Noah can read in a second is 1.25 facts.

Hence, Andrew is faster than Noah.

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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

Step-by-step explanation: The figure shown here is a straight path between points that extends forever in both directions, so it's called a line.

Since a line doesn't have endpoints, it doesn't matter which

two points on the line we use to name the line.

I have attached 5 possible names for the line below.

Answer:

Step-by-step explanation:

e Because lines continue infinitely, we can name them forwards or backwards. We can also use any two points on a line to identify it, unlike with rays or segments. The l and the end of the line can also be used to identify it.

Different names for the line include: DE ED DF FD and line l.

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:

100 dinners

Step-by-step explanation:

There are 4 choices for the appetizer, 5 choices for the main course and 5 choices for the dessert so the total number of dinners that are possible is 4 * 5 * 5 = 100.

Answer:

Step-by-step explanation:

Hello,

-1 <= -1 < 0

so f(-1)=-1

0 <= 0.5 < 1

so f(0.5)=0

1 <= 1 < 2

so f(1)=1

Thank you.

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:

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.  :)

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:

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:

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:

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:

Yes, this is a function

Step-by-step explanation:

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

Answer:

Step-by-step explanation

C

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:

3.14

Step-by-step explanation:

Los primeros tres son 3.14

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

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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