The area of the triangle below is 2/5 square foot. What is the length, in feet, of the base of the triangle? Area = bh/2

Answer:

s={apple, orange, banana, pear, peach, plum, mango} (option A)

Step-by-step explanation:

The sample space of an experiment is the set of all possible outcomes of that experiment.

The sample space is essential in finding the probability of an event associated with a random experiment.

In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.

Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)

Where s = sample space

Though peach was omitted in the set in option A by mistake, the correct answer:

s={apple, orange, banana, pear, peach, plum, mango}

Answer:

24 sq. u.

Step-by-step explanation:

1)For this triangle area, let's use the classic Euclidean formula:

[tex]\Delta \: area=\frac{b*h}{2}[/tex]

2) Let's measure the lenght of the base, taking the y coordinate of J vertex and L Vertex

[tex]|10-(-2)|=|12|=12[/tex]

3) Similarly to the height, taking the K and its distance to the base

|0-(-4)|=|4|=4

4) Plugging them in:

[tex]\Delta \: area=\frac{12*4}{2}=24[/tex]

Answer:

24 Square Units

Step-by-step explanation:

Answer:

3/14

Step-by-step explanation:

Answer: [tex]\dfrac{21}{410}[/tex].

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]

Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]

Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]

Hence, the required probability is [tex]\dfrac{21}{410}[/tex].

Answer:

Step-by-step explanation:

m-(n+(p-(m+n-p)))

Final Result :

     2 • (m - p)

Answer:A.6

Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6

Let [tex]n[/tex] be the smallest integer; then, the other two integers are [tex]n+1[/tex] and [tex]n+2,[/tex] so we have the equation [tex]3n+3=63.[/tex] Solving, we have [tex]n=20,[/tex] so the integers are [tex]\boxed{20,21,22}.[/tex]

Answer:

16.0

Step-by-step explanation:

Answer:

b 16.0

Step-by-step explanation:

Answer:

39.4736842105 or 39.47, but in integers is 39

Step-by-step explanation:

38/100=.38

15/.38=39.4736842105

Answer:

39.4736842105% or 39.47%

Step-by-step explanation:

To find what percent of 38 is 15, take 15 divided by 38

15/38 = 0.394736842105

Double check this answer by working backwards

38 x 0.394736842105 = 15

Change 0.394736842105 into a percentage because a percentage is what is needed

0.394736842105 = 39.4736842105% = 39.47%

Answer:

The answer is false already got this question wrong though D;

Step-by-step explanation:

The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges is false.

The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.

The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids.

The area scale factor is given as the square of the linear scale factor.

that is Area Scale Factor = (Linear Scale Factor)²

The linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor such that the volume scale factor is given by the cube of the area scale factor.

Therefore the given statement is false

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Answer:

To expect a profit in the long run, we have to charge more than $1.73 per play.

Step-by-step explanation:

We hace a roulette wit 37 slots.

One is green, eighteen are red and eighteen are black.

The expected pay for the gambler can be calculated as the sum of the probability of getting green, red or black multiplied by the respective pay.

[tex]E(g)=\sum p_iG_i=p_gG_g+p_rG_r+p_bG_b\\\\\\E(g)=\dfrac{1}{37}(10)+\dfrac{18}{37}(1)+\dfrac{18}{37}(2)\\\\\\E(g)=\dfrac{10+18+36}{37}=\dfrac{64}{37}\approx1.73[/tex]

If $1.73 per play is the expected pay that will receive the gambler, we have to charge at least this amount to make sure we will make a profit in the long run.

Answer:

A

Step-by-step explanation:

140 x 0.8 = 112

Answer:

140 students voted (Answer A)

Step-by-step explanation:

Let v represent the total number of students who voted.

Then 0.80v = 112 votes.

Dividing both sides by 0.80, we get:

v = 140. 140 students voted.

As a check, find 80% of 140 students:  that comes out to 112 students (correct)

Answer:

3

Step-by-step explanation:

43-40=3

Answer:

  x = 48.40'

  y = 33.01'

Step-by-step explanation:

These are all segments of a right triangle, so the Pythagorean theorem applies.

  x^2 = 46.07^2 +14.82^2 = 2342.0773

  x = √2342.0773 ≈ 48.40

__

  x^2 = 35.39^2 +y^2

  y^2 = 2342.0773 -35.39^2 = 1089.6252

  y = √1089.6252 ≈ 33.01

Units are feet for both numbers:

  x = 48.40'

  y = 33.01'

_____

You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.

Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.

After you find x, then you have two known sides in the bottom triangle, so you can find y.

Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.

Answer:

d 25

So 10 cans of orange Concentrate will be = 25 cans of water

Step-by-step explanation:

Andrea combines the orange concentrate and the water using a 2:5 ratio.

We are to find how many cans of water she needs to combine with 10 cans of concentrate

So using the ratio.

2 cans of orange Concentrate is to 5 cans of water.

So 10 cans of orange Concentrate will be =( 10*5)/2

So 10 cans of orange Concentrate will be = 50/2

So 10 cans of orange Concentrate will be = 25 cans of water

Answer:

Step-by-step explanation:

Part a

Exponential growth model for the frog population is given by

[tex]P=P_{0}b^{t}\texttt{ \ where} \ P_{0}=Population \ at \ t=0 \ and \ b=Base[/tex]

The population of frog at t=0 (2 years ago) is given as 46000 which implies

[tex]P_{0}=46000[/tex]

The population in the current year is given as 55200 which implies

 At,

t=2 years, P=55200

Therefore, substitute the above values to calculate the value of b

[tex]55200=46000b^{2} => b^2=\frac{55200}{46000}=1.2[/tex]

[tex]b=\sqrt{1.2}=1.095445[/tex]

Therefore, the model equation becomes

[tex]P=46000(1.095445)^{t}[/tex]

Part b

Since all the tags for this year have fallen off which implies no of tags for the next year can be calculated by calculating the population at t=3

[tex]P=46000(1.095445)^{3}\\\\=46000\times 1.3145\\\\=60467[/tex]

Answer:

13 l of 15%, 13 l of 25%, 26 l of 70%

Step-by-step explanation:

solutions:

final solution:

This includes 0.45*52l= 23.4 l acid

Let's assume:

so there are 2 equation:

or

--------

Answer:

I cant see it properly

Step-by-step explanation:

Answer:

The most important quantity to consider in order to answer this question is the arrival time of the zombies from their initial position, which is the quotient between their distance to the visitors, divided the zombie's speed.

See explanation below.

Step-by-step explanation:

Part 1)

What is crucial to know is what is the time at which each zombie would reach Alice and Bob, and that is given by the quotient between the distance away each zombie is, divided by the zombie's speed:

[tex]speed=\frac{distance}{time} \\time=\frac{distance}{seed} \\t_i=\frac{d_i}{s_i}[/tex]

Then, it is this quotient for each zombie, that one has to estimate given the input values distance and speed, and it is the output "time" ([tex]t_i[/tex]) for each zombie, what we need to analyze so as to prioritize an order regarding which zombie to kill first.

Part 2)

Shooting the closest zombie first is not a good idea, since the speed of that closest zombie may be much slower than another zombie further away, but with much larger speed. Again, the important value to analyze is the time that it would take each zombie to reach Alice and Bob.

Part 3)

Shooting the fastest zombie first is not a good idea either, because that fastest zombie could be located very far away from the visitors, and other zombies closer by may reach them first.

Part 4)

The order that should be used to kill the zombies is given by the value of the time to reach Bob and Alice based on the quotient distance (di) over speed (si) explained in Part 1). The zombie that shows smallest time should be shot first, and then the others in increasing order of time value.

Part 5)

Notice that the individual zombie information is not presented in the question, but the student should be able to calculate the quotients for each zombie, and considering that there could be at most one shot every second, estimate the number of seconds that the time for each zombie in increasing order would allow until the addition of shooting time per second in the appropriate order cannot match the arrival time of the zombies that are left.

One should count number of seconds from the first shot (to the zombie with shortest arrival time), and then increase in one unit (one shot per second), to the following zombie with slightly larger arrival time), and so on, until the addition of seconds (one second per shot and per increasing arrival time of zombie) exceeds the next zombie arrival time.

Answer:

D. One end increases and one end decreases

One end increases and one end decreases in the given function  f(x) = - In (2x) + 4. Therefore, the correct option is option D.

What is mathematical function?

In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.

In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function  f(x) = - In (2x) + 4.

Therefore, the correct option is option D.

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Answer:

0.573 m

Step-by-step explanation:

a. To find the depth, x, we first solve the differential equation to find the expression for I  

dI/dx = (-1.21)I

dI = (-1.21)Idx

dI/I = -1.21dx

Integrating both sides, we have

∫dI/I = ∫-1.21dx

㏑I = -1.21x + C

I = exp(-1.21x + C)

I = exp(-1.21x)exp(C) Let exp(C) = A

I =Aexp(-1.21x)

when x = 0, I = L. Substituting these into the equation, we have

L = Aexp(-1.21 × 0)

L = Aexp(0)

L = A

So, I = Lexp(-1.21x)

we want to find x when I = L/2.

So, L/2 = Lexp(-1.21x)

1/2 = exp(-1.21x)

-1.21x= ㏑(1/2)

-1.21x= -㏑2

x = -㏑2/-1.21

x =  0.693/1.21

x = 0.573 m

Answer:

C) 60

Step-by-step explanation:

m ABC is 60 degrees

Answer:

The answer is mABC = 60°

Answer:

170m

Step-by-step explanation:

The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution: 

x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170

Answer:

(1,3) (B)

Step-by-step explanation:

A function cannot have 2 y values per x value.  The x value of 1 has 2 y values on it which are -2 and 3.  Therefore, you must remove one of them.  The only one that applies is (1,3)

I completed the vertical line test which shows that A, C, nor D had another point on their lines. So B is the answer.

Answer:

Following are the ratio to this question:

Step-by-step explanation:

Given:

[tex]\bold{\tan \phi = \frac{60}{11} }\\\\[/tex]

Formula:

[tex]\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\[/tex]

[tex]\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\[/tex]

[tex]\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\[/tex]

Answer:

d y = -5x+3

Step-by-step explanation:

slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3

Answer:

876 square feet need to be painted.

Step-by-step explanation:

There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom

(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292

There are 3 bedrooms so

292*3=876

Answer:

1/2, 5/2

Step-by-step explanation:

To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2

(-3+4)/2, (-2 +7)/2

1/2, 5/2

Answer:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Step-by-step explanation:

Use the midpoint formula:

[tex](\frac{-3+4}{2} , \frac{-2+7}{2} )[/tex]

The points are:

[tex](\frac{1}{2}, \frac{5}{2} )[/tex]

Answer:

1.2h / 72min

Step-by-step explanation:

Maria waxes her car in 2 hours. When she works with Susan, they can wax the car

in 45 mins. How long will it take Susan, working by herself, to wax the car?

:

Let x = time required by Susan by herself

:

Change 45 min to hrs: 45/60 = .75 hrs

:

Let the completed job = 1

:

Each will do a fraction of the job and will add up to 1

:

.75%2F2 + .75%2Fx = 1

Multiply equation by 2x to eliminate the denominators, solve for x

.75x + 2(.75) = 2x

:

.75x + 1.5 = 2x

:

1.5 = 2x - .75x

:

1.5 = 1.25x

x = 1.5%2F1.25

x = 1.2 hrs (72min), for Susan to do the job by herself