How much water do I need to add to l liters of pure alcohol to obtain a solution of 45% alcohol. Write as an expression.

Answer:

the answer that I got is 1

Answer: hi "1" is right, i checked it again ;)

If a is in the second quadrant, then cos(a) < 0 and sin(a) > 0.

Recall the double angle identity for cosine:

cos(2a) = 2 cos²(a) - 1 = 1 - 2 sin²(a)

It follows that

2 cos²(a) - 1 = -4/5   ==>   cos²(a) = 1/10   ==>   cos(a) = -1/√10

1 - 2 sin²(a) = -4/5   ==>   sin²(a) = 9/10   ==>   sin(a) = 3/√10

Then we find

1/cos(a) = sec(a) = -√10

1/sin(a) = csc(a) = √10/3

sin(a)/cos(a) = tan(a) = -3

1/tan(a) = cot(a) = -1/3

Step-by-step explanation:

24. = 249030/30

=8,301 rs

Answer:

24. 8301, divide 249030 by 30

25. 9989001, but i dont know the property

Step-by-step explanation:

Answer:

n = 1

n = - 1

n = - 1/5

n = - 25

Step-by-step explanation:

We are to obtain the value if n in the given equations :

1.)

n - 13 = - 12

To find, n ;

Add 13 to both sides

n - 13 + 13 = - 12 + 13

n = 1

2.)

n/5 = - 1/5

Multiply both sides by 5

n/5 * 5 = - 1/5 * 5

n = - 1

3.)

-5n = 1

Divide both sides by - 5

-5n/-5 = 1/-5

n = - 1/5

4.)

n + 15 = - 10

Subtract 15 from both sides :

n + 15 - 15 = - 10 - 15

n = - 25

Answer:

The y intercept is 5

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -3/2x+b

Substitute the point into the equation and solve for b

8 = -3/2(-2)+b

8 = 3+b

8-3 =b

5=b

The y intercept is 5

Answer:

c. Lower boundary = 0.50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

An ecologist finds 220 yellow-flowered plants and 180 white-flowered plants.

220 out of 220 + 180 = 400. So

[tex]n = 400, \pi = \frac{220}{400} = 0.55[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.96\sqrt{\frac{0.55*0.45}{400}} = 0.5[/tex]

Thus the correct answer is given by option c.

Answer:

2200cm

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Domain of P should be Integers and it should vary from 1 to 2000

The number is more appropriate for the domain of 'p' is real numbers.

The appropriate domain can be represented as (1 ≤ w ≤ 1000).

"The domain of a function is the set of inputs accepted by the function."

Given, Aiden sells any amount of cumin seeds from 1 kilogram to 1000 kilograms.

He charges $5 for 1 kilogram and $2000 for 1000 kilograms.

w = the weight of the cumin seeds

Therefore, it can be represented as (1 ≤ w ≤ 1000).

p(w) = the price of w kg cumin seeds.

It can be represented as (5 ≤ p(w) ≤ 2000).

This domain is of real numbers.

Learn more about the domain of a function here: https://brainly.com/question/17354444

#SPJ3

Step-by-step explanation:

To solve for the x-intercept, set y=0 then solve for x.

y=−3x−9. 0=−3x−9. 3x=−9.

x=−3 when y=0.

To solve for the y-intercept, set x=0 then solve for y.

y=−3x−9. y=−3(0)−9. y=−9 when x=0.

Hi there!

Y-intercept:

Set the x value to 0:

y = 3(0) + 9

y = 9 --> (0, 9)

X-intercept:

Set the y value to 0:

0 = 3x + 9

Solve for x:

-9 = 3x

x = -3 --> (-3, 0)

Missing from the question

Aletheia's speed is 0.6 miles per hour slower than Elvira's speed.

Answer:

[tex]s_E = 3.0[/tex]

[tex]s_A = 2.4[/tex]

Step-by-step explanation:

Given

[tex]d = 3.2m[/tex] -- distance

[tex]t_E = 1/2[/tex] --- Elvira time

[tex]t_A = 2/3[/tex] --- Aletheia time

[tex]s_E - s_A = 0.6[/tex] --- the relationship between their speeds

Required

Their walking speed

Distance (d) is calculated as:

[tex]d = speed * time[/tex]

For Elvira, we have:

[tex]d_E = s_E * 1/2[/tex]

For Aletheia, we have:

[tex]d_A = s_A * 2/3[/tex]

So, we have:

[tex]d_E + d_A = d[/tex] --- total distance

This gives:

[tex]s_E * 1/2 + s_A * 2/3 = 3.2[/tex]

Recall that:

[tex]s_E - s_A = 0.6[/tex]

Make sE the subject

[tex]s_E = 0.6+s_A[/tex]

Substitute [tex]s_E = 0.6+s_A[/tex] in [tex]s_E * 1/2 + s_A * 2/3 = 3.2[/tex]

[tex](0.6+s_A)* 1/2 + s_A * 2/3 = 3.2[/tex]

[tex]0.3+1/2s_A + 2/3s_A = 3.2[/tex]

Collect like terms

[tex]1/2s_A + 2/3s_A = 3.2-0.3[/tex]

[tex]1/2s_A + 2/3s_A = 2.9[/tex]

Express all as decimal

[tex]0.5s_A + 0.7s_A= 2.9[/tex]

[tex]1.2s_A= 2.9[/tex]

Divide both sides by 1.2

[tex]s_A = 2.4[/tex]

Recall that:

[tex]s_E = 0.6+s_A[/tex]

So, we have:

[tex]s_E = 0.6+2.4[/tex]

[tex]s_E = 3.0[/tex]  

Answer:

Maximum = 19

Minimum = 4

Median = 12

Step-by-step explanation:

The maximum number of phone sold per day is the value to the right of the horizontal axis as the values are arranged in ascending order ; Hence, the maximum number of phones sold per day is 19

Also, the minimum number of phones sold per day is the value to the left of the plot, Hence, minimum number of phones sold per day is 14.

The Median value : 4, 9, 14, 19

The median = 1/2(n+1)th term

1/2(5)th term = 2.5 th term

Median (9 + 14) /2 = 13 /2 = 11.5 = 12 phones

Answer:

3200

Step-by-step explanation:

We need to find 2/5 of the tickets sales

2/5 * 8000

3200

Answer:

3200

Step-by-step explanation:

you need to find what 2/5 is and the you take that away from 8000 and then you have your answer of 3200

Solution :

A). x = 2 (mod 3)        [tex]$\mu = 3\times 5 \times 7 = 105$[/tex]

x = 3 (mod 5)       [tex]$y_1=35^{-1} (\mod 3)$[/tex]

x = 4 (mod 7)        [tex]y_1=2[/tex]

[tex]$y_2=21^{-1}(\mod5) = 1$[/tex]

[tex]$y_3=15^{-1}(\mod7) = 1$[/tex]

[tex]$x=2 \times 35 \times 2 + 3\times 21\times 1+4\times 15\times 1$[/tex]

   [tex]=140+63+60[/tex]

   [tex]=263[/tex]

   ≡ 53(mod 105)

Hence the solution is 105 k + 53 > 1000 for k = 10

Therefore, the minimum number of students = 1103

B). [tex]$\phi (935) = 640$[/tex]

By  Eulu's theory

[tex]$935 | a^{640}_n -1$[/tex] if n and 935 are coprime.

Now, [tex]$935|n^{80}-1$[/tex]  and 80 x 8 = 640

[tex]$935|n^{640}-1$[/tex]   ⇒  g(n,935) = 1

                     ⇒ 5, 11, 17 do not divide n

Answer:

7a^6b-4d

Step-by-step explanation:

[tex]\frac{14a^9b - 8a^3d}{2a^3} \\\frac{2a^3(7a^6b - 4d)}{2a^3} \\\\7a^6b-4d[/tex]

Answer:

<2 = 35degrees

<3 = 55degrees

Step-by-step explanation:

Find the diagram attached:

From the diagram:

<3 + <4 = 90

<3 + 35 = 90

<3 = 90 - 35

<3 = 55degrees

Also m<1 + m<2+ m<3 = 180 (sum of angles in a traingle)

90+<2+55=180

145+<2 = 180

<2 = 180 - 145

<2 = 35degrees

Answer:

y = 7/3x + 2/3

Step-by-step explanation:

-7x + 3y = -10

3y = 7x - 10

y = 7/3x - 10/3

-4 = 7/3(-2) + b

-4 = -14/3 + b

2/3 = b

Answer:

Step-by-step explanation:

First Identify what sides you have based on the angle given: 52

O = 13

H = x

This means we will use Sin

(Sin = O/H)

Sin (52) = 13/x

Multiply both sides by x

X Sin (52) = 13

Divide both side by Sin (52)

X = 13/Sin(52)

X = 13.176197

X = 13

Answer:

$1.65

Step-by-step explanation:

or

Answer:

3000

growth

2.2%

Step-by-step explanation:

9514 1404 393

Answer:

  A.  G(x) = ∛(x -1) +1

Step-by-step explanation:

The transformation f(x-h) +k represents a translation (right, up) by (h, k) of the parent function f(x).

Your translation of f(x) = ∛x by (1, 1) will give you the function ...

  G(x) = ∛(x -1) +1

9514 1404 393

Answer:

  7.4 . . . . between 7 and 8

Step-by-step explanation:

55 is between the perfect squares 49 = 7² and 64 = 8². Using linear interpolation, the square root is approximately 7 +(55-49)/(64-49) = 7 6/15 = 7.4

√55 ≈ 7.4 . . . . approximate root by linear interpolation

_____

Additional comment

A way to improve the estimate of the root is to use the "Babylonian method" of iterating the root. Divide the original number (55) by the estimate of the root, and average that result with the estimate:

  next best guess = (55/7.4 +7.4)/2 = 7 77/185 ≈ 7.4162_162(repeating)

This matches the actual root when rounded to 4 decimal places. The number of accurate decimal places approximately doubles with each iteration.

__

Another way to improve the estimate is to modify the fractional portion. (The above method converges on a root more quickly.) For this, the iteration of the fractional part of the root is ...

  next fractional part = 6/(14 +(fractional part))

where 6/14 is the linear estimate fractional value with 1 subtracted from its denominator.

For one iteration, the new estimate of the fractional part is 6/(14 +6/15) = 5/12, so the root estimate is about 7.4167 compared to the above 7.4162.

Answer:

e

Step-by-step explanation:

Answer:

Two sample t procedure

Step-by-step explanation:

The two sample t test is used when want to test for equality between two population means. It tests whether the means of the two groups are equal or not equal.

We use this to analyse this information in this question because we do not have data available for the population standard deviation. Also we are to test for the significant difference between the two different groups of participants

Answer:

[tex]{ \tt{ = \frac{(x + y)}{ {x}^{2}y } - \frac{(x - 2y)}{ {xy}^{2} } }} [/tex]

Find the LCM of denominators: x²y²

[tex]{ \tt{ = \frac{y(x + y) - x(x - 2y)}{ {x}^{2} {y}^{2} } }} \\ \\ = { \tt{ \frac{xy + {y}^{2} - {x}^{2} +2xy }{ {x}^{2} {y}^{2} } }}[/tex]

Simplify further:

[tex] = { \tt{ \frac{(y - x)(y + x) +3xy}{ {(xy)}^{2} } }} \\ \\ = { \tt{ \frac{(y - x)(y + x)}{ {(xy)}^{2} } - \frac{3}{xy} }}[/tex]

Answer:

-2

-1

-2

Step-by-step explanation:

please forgive me, but again, this is the simplest of the simplest things. how is that a problem ?

this costs so much more time to just put it in here and then copy answers than just doing it. this is literally a matter of seconds.

the functional value is -2 for all x that are not equal to 2.

and the functional value is -1, when x = 2

so, what is the problem ?

please see my other answer for more details on the solution.

Answer:

Step-by-step explanation:

Rule for 180 rotation: (x,y) becomes (-x,-y)

So (6,-9) becomes (-6,9)

dp/dt = t ² p - p + t ² - 1

Factorize the right side:

dp/dt = p (t ² - 1) + (t ² - 1)

dp/dt = (p + 1) (t ² - 1)

So the differential equation is separable as

dp/(p + 1) = (t ² - 1) dt

Integrate both sides:

∫ dp/(p + 1) = ∫ (t ² - 1) dt

ln|p + 1| = t ³/3 - t + C

Solve for p :

p + 1 = exp(t ³/3 - t + C )

p + 1 = C exp(t ³/3 - t )

p = C exp(t ³/3 - t ) - 1