Evaluate the following integral or state that it diverges.

*integral 0 to 1 (ln x)do

Answer: 13,600.

Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600

The solution to the simultaneous equations, 5x + y = -5 and 5x – 3y = 11, is: (-1/5, -4)

The solution is the pair of values of x and y that is true for both equations.

Given the simultaneous equations,

5x + y = -5

5x – 3y = 11

Subtract

4y = -16

y = -4

Substitute y = -4 into equation 1.

5x + (-4) = -5

5x - 4 = -5

5x = -5 + 4

5x = -1

x = -1/5

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Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.

Answer: Point A.

Step-by-step explanation: To find the location of points such as (-1, 1 1/4), you need to know what part of the point is the x-axis and the y-axis.  The first part of the point is the x-axis, which is the horizontal line that goes left to right on the coordinate graph.  The first part of the point (-1, 1 1/4), is -1. The second part of the point is the y-axis, which is the vertical line that goes up and down on the coordinate graph.  The second part of the point (-1, 1 1/4), is 1 1/4. Therefore, we first find the x-axis to the point (-1, 1 1/4), which is -1, and so far, point A is the only option that matches.  However, we need to make sure that the point (-1, 1 1/4)'s y-axis matches to point A as well.  The y-axis to the point (-1, 1 1/4) is 1 1/4 so we need to go up 1 1/4 times, and the point that matches these actions is point A.  Therefore, that's your answer.

Let me know if this is right! :)

In total there are 125 refrigerators at the store.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, at a store, 40% of all the refrigerators are silver.

There are 50 silver refrigerators at the store.

Let the total number of refrigerators at the store be x.

Here, 40% of x=50

40/100 ×x=50

0.4x=50

x=50/0.4

x=125

Therefore, in total there are 125 refrigerators at the store.

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Step-by-step explanation:

the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.

the shadow is adjacent to the angle while the flagpole is opposite to it.

so to find the angle of elevation:

arctan(20/8.9)

= 66.01 degrees

comment if you have any doubt or need further help.

Angle be alpha

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{P}{B}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=\dfrac{20}{8.9}[/tex]

[tex]\\ \rm\Rrightarrow tan\alpha=2.25[/tex]

[tex]\\ \rm\Rrightarrow \alpha=tan^{-1}(2.25}[/tex]

[tex]\\ \rm\Rrightarrow \alpha=66.04°[/tex]

Answer:

The answer would be 64 cm.

Step-by-step explanation:

Step 1: Identify which shapes you will do to find the area
(I did 2 and 12 and 8 and 5)
Step 2: Do 12x2 (24)
Step 3: Do 8x5 (40)
Step 4: Add 40+24 (64)
Step 5: Label
I hope this helps!

Answer:

8 out of 52

or

4 out of 26

Step-by-step explanation:

So you have a 52 deck of cards there are:

Number 6 cards = 4

Number 10 cards = 4

there is a 8 out of 52 chance of you pulling a 6 or 10 card

or (simplify)

4 out of 26 chance

~Denki Kaminari here~

here, this may help you on how to solve probability:

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

The best example for understanding probability is flipping a coin: There are two possible outcomes—heads or tails.

What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%.  But how do we work that out?  Probability = one chance that it we can calculate/ one chance on pure probability

Formula for calculating the probability of certain outcomes for an event

Formula for calculating the probability of certain outcomes for an event

In this case:

Probability of a coin landing on heads

Probability of a coin landing on tails

Probability of an event = (# of ways it can happen) / (total number of outcomes)

hope this helps :D

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}[/tex]

notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.

Answer:

90m^2

Step-by-step explanation:

1/2 d1*d2

1/2 12*15

1/2*180

90 Square meter

Answer:

B. Acute

Step-by-step explanation:

the hypotenuse for right triangles and lies outside the triangle for obtuse triangles. The circumcenter coincides with the midpoint of the hypotenuse if it is an isosceles right triangle.

Answer:

you cant do these they are 3rd and 4th questions

Step-by-step explanation:

Answer:

You can find the answers by dividing the numbers

Step-by-step explanation:

Hmu if u still need help :)

Base on the equation, the amount Laura pay for 2 tennis balls and 4 golf balls $8

Sam buys 4 tennis balls and 12 golf balls for a total of £19.

let

x = price of each tennis ball

y = price of each golf ball

Hence,

4x + 12y = 19

Luke buys 6 tennis ball and 10 golf balls for a total of £22.50. Hence,

6x + 10y = 22.50

Combine the equation

4x + 12y = 19

6x + 10y = 22.50

6x + 18y = 28.5

6x + 10y = 22.50

8y = 6

y = 6 / 8

y = $0.75

6x + 10(0.75) = 22.50

6x + 7.5 = 22.50

6x = 22.50 - 7.5

6x = 15

x = 15 / 6

x = $2.5

The cost when Laura pays for 2 tennis balls and 4 golf balls is as follows:

2(2.5) + 4(0.75) = 5 + 3 = $8

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Answer:

i dont know

Step-by-step explanation:

i do middle school not

highschool or college

Answer:

47.

Step-by-step explanation:

1) the rule:

[tex]f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,[/tex]

where a;b are 0 and 12, f(x)=x²-1.

2) according to the rule above:

[tex]f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.[/tex]

Answer:

The sun, eight plants and some other celestial

Answer:1

Step-by-step explanation:

The sun, eight plants and some other celestial

Answer:

a(-2.6) b(5, 0) c(9,5)

Step-by-step explanation:

the rule is x+1 y+2 for each of the vertices

Step-by-step explanation:

but that is really, really simple.

is the problem that you don't know what a perimeter is ?

a perimeter is the whole distance you have to "walk", if you would "go" around the whole object.

that means you would have to go along every side until you reach the starting point again.

therefore, the perimeter is simply the sum of all side lengths.

P = 8.6 + 3.1 + 6.67 + 5.37 = 23.74 yds

the height does not play any role in this (but it would be important to calculate the area).

I don't understand these huge numbers you have there in the " P =" line.

where are they coming from ? in any case they have nothing to do with this quadrilateral.

Answer:

Step-by-step explanation:

Answer:

They(play) football for two hours (present perfect continuous

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]

The distance from the tree house that the ball strike the ground is 10feet

Given the path of the ball expressed by the parabola equation:

y = -2x^2+14x +60

The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0

x^2 - 7x - 30 = 0

Factorize the result

x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0

x = 10

Hence the distance from the tree house that the ball strike the ground is 10feet

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Step-by-step explanation:

the scaling ratio is 12/20 = 3/5.

this always applies only to one-dimensional distances, lengths.

the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.

p_old = a + b + c

p_new = ra + rb + rc = r(a + b + c) = r×p_old

so, the ratio for the perimeter is also 3/5.

for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.

a_old = a × b

a_new = ra × rb = r² × a×b = r² × a_old

so, the ratio for the area is

(3/5)² = 9/25

Answer:

156

Step-by-step explanation:

39x4 = 156

Simple multiplication :)

Hope this helps, and please mark me brainliest!

Answer:

156

Step-by-step explanation:

p=4 a

Answer: A: The data is a random sample from the population of interest

Step-by-step explanation: kahn

Answer:

Step-by-step explanation:

A)[tex](tanx-4)(9sin^2x-1)=0\\\\\\[/tex]

[tex]9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}[/tex] or [tex]sinx=\frac{-1}{3}[/tex]

OR    [tex]tanx=4\\[/tex]

B)

[tex]3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}[/tex]

Answer:

a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]

b)height = 896.2 feet

Step-by-step explanation:

for b, substitute 20 in place of x in the first equation.

Answer:

y = 3/5

Step-by-step explanation:

3(y+3) = 14

3*y+3*3 = 14

3y+9 = 14

3y = 14-9

3y = 5

y = 3/5