A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 70% salt. She wants to obtain 120 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answer:

50 Db

Step-by-step explanation:

we know that

The loudness in decibels is given by the formula

[tex]L = 10log(\frac{I}{I_0})[/tex]

where

I  = sound intensity in watts per square meter (Watts/m^2)

I₀ = reference intensity, = 10^(-12) Watts/m^2

so

For I=10^(-7) Watts/m^2

substitute in the formula above and solve for L

[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]

[tex]L = 10log(10^{5})[/tex]

[tex]L = 10 (5)=50\ Db[/tex]

Answer:

D. 50 Db on ed

i took the test and i got it right

Answer:

[tex] y=2.5 \sin(\pi t)[/tex]

Step-by-step explanation:

Time period $T$ is 2 sec.

$T=\frac{2\pi}{\omega}$

$\therefore 2=\frac{2\pi}{\omega}$

$\therefore \omega=\pi$

The amplitude is half the distance between highest and lowest points.

Thus, amplitude $A= 2.5$

The equation to the SHM is:

$y=A \sin (\omega t)$

Or,

$\boxed{y=2.5 \sin (\pi t)}$

The equation that models the position of the weight at time t seconds is y = 2.5 sin(πt).

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Time taken to complete one cycle= 2sec

Distance from lowest to highest point= 5in

Now,

The position of the weight attached to a spring that is oscillating up and down can be modeled by a sinusoidal function of time. Specifically, the equation for the position (in inches) of the weight as a function of time (in seconds) can be written in the form:

y = A sin(ωt + φ) + k

where:

A is the amplitude of the oscillation, which is half the distance between the highest and lowest point. In this case, A = 5/2 = 2.5 in.

ω is the angular frequency of the oscillation, which is related to the period T (the time for one complete cycle) by the formula ω = 2π/T. In this case, T = 2 sec, so ω = 2π/2 = π rad/sec.

φ is the phase shift of the oscillation, which determines the starting position of the weight. Since no specific starting position is given in the problem, we can assume that the weight starts at the highest point, which corresponds to a phase shift of φ = 0.

In this case, k = (5 + (-5))/2 = 0.

Putting all of these values into the equation, we get:

y = 2.5 sin(πt + 0) + 0

Simplifying, we get the final equation for the position of the weight at time t seconds:

y = 2.5 sin(πt)

Therefore, by the equations the answer will be y = 2.5 sin(πt).

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Answer:

720

Step-by-step explanation:

Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).

 P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite  10 !  as  

10 * 9  * 8  * 7 !  / 7!

Cancel the common factor of  7 !  and divide ( 10  * 9 * 8 ) by  1

10  * 9  * 8 = 720

Final answer:

To find the number of different outcomes possible when selecting and ranking three candidates out of ten, we calculate the permutations without repetition, using the formula 10! / (10 - 3)!, which yields 720 different outcomes.

Explanation:

The question asks for the number of different outcomes possible when a search committee must choose and rank three candidates out of ten for a job. This is a permutation problem because the order in which the candidates are ranked matters.

To calculate the number of different outcomes, we use the formula for permutations without repetition, which is n! / (n - r)!, where 'n' is the total number of items to choose from (in this case, the number of candidates) and 'r' is the number of items to choose and arrange (in this case, the number of candidates to be ranked). So, the number of different outcomes for selecting and ranking three candidates from ten is calculated as follows:

10! / (10 - 3)! = 10! / 7! = 10 × 9 × 8 = 720

Thus, there are 720 different outcomes possible when the search committee chooses and ranks three candidates out of ten.

Answer:

C = 145.4°

By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.

Step-by-step explanation:

Linear pairs are found on a straight line, so they total to 180°.

C + D = 180 ......eq'n [1]

C is seven more than four times D can be represented with this equation:

C = 4D + 7 ........eq'n [2]

We can solve by substituting [2] into [1], replacing "C".

C + D = 180

4D + 7 + D = 180

Collect like terms

5D + 7 = 180

Subtract 7 from both sides

5D = 173

Divide both sides by 5

D = 173/5

As a decimal, D = 34.6°.

Using eq'n [2], find C. Substitute the value of "D". Solve.

C = 4D + 7

C = 4(173/5) + 7

C = (692/5) + 7

C = (692/5) + (35/5)         Find a common denominator.

C = (692+35)/5                Combine into numerator.

C = 727/5

As a decimal, C = 145.4°.

Answer:

Hope it helps

Step-by-step explanation:

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

It is the average distance between each data point and the mean.

The mean absolute deviation is given as

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The table is given below.

No high school diploma             High school diploma

             10                                                   19

           9.50                                               15.25

           11.50                                                 14

             13                                                 15.75

The mean of No high school diploma will be given as,

μ₁ = (10 + 9.50 + 11.50 + 13) / 4

μ₁ = 11

Then the mean absolute deviation is calculated as,

(MAD)₁ = (|10 - 11| + |9.5 - 11| + |11.5 - 11| + |13 - 11|) / 4

(MAD)₁ = 1.25

The mean of high school diploma will be given as,

μ₂ = (19 + 15.25 + 14 + 15.75) / 4

μ₂ = 16

Then the mean absolute deviation is calculated as,

(MAD)₂ = (|19 - 16| + |15.25 - 16| + |14 - 16| + |15.75 - 16|) / 4

(MAD)₂ = 1.50

The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.

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The complete question is given below.

Answer:

1)5 + 2.5 > 4

3)4 + 2.5 > 5

5)4 + 5 > 2.5

Step-by-step explanation:

I got this question in edge

The triangular inequality for these dimensions are:

For a triangle with sides A, B, and C, the triangular inequality says that:

In this case, we know that the pieces of wood measure:

5ft

2.5ft

4ft

The triangular inequality for these dimensions is:

So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.

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Answer:

52

Step-by-step explanation:

You have to find the area of the all the sides which is L x H them add them.

Side(right) = 4 x 2 = 8

Side(left) = 4 x 2 = 8

Top = 4 x 3 = 12

Bottom = 4 x 3 = 12

Front = 3 x 2 = 6

Back = 3 x 2 = 6

= 52

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.

Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:

1. 2ū = 2<-97, 8> = <-194, 16>

2. 6v = 6<77, 57> = <462, 342>

Now, subtracting 6v from 2ū:

2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>

Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.

The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.

In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.

Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:

-656 - 67 = -723

-326 - 67 = -393

So, the final result is -723i - 393j.

The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).

2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:

1. Multiply vector u by 2:

2u = 2(9i + 8j) = 18i + 16j

2. Multiply vector v by 6:

6v = 6(7i + 5j) = 42i + 30j

3. Subtract 6v from 2u:

2u - 6v = (18i + 16j) - (42i + 30j)

= 18i + 16j - 42i - 30j

= (18i - 42i) + (16j - 30j)

= -24i - 14j

Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.

The probable question maybe:

Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i  and j.

Answer:

when b=7 cm, h=5 cm, you get the smallest area

Step-by-step explanation:

Answer:

b=7 h=5      35

Step-by-step explanation:

6x7=42

7x5=35

10x4=40

4x9=36

35 is smaller than all the other options! :) hope this helped!

Answer:

20 units

Step-by-step explanation:

Given that:

R T and G J intersect at point H.

As we know, when two chords intersect each other inside a circle, the products of their segments are equal.

So the product of RH and HT = 10*16 = 180 units

<=> the product of GH*HJ = 160 units

<=> HJ = 160 / GH

<=> HJ = 160/8 = 20 units

Answer:

b 20 on edge

Step-by-step explanation:

To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.

To find the total time for decorating both signs:

Answer:

A

Step-by-step explanation:

Answer:

6x + 12x + 90 = 180

Step-by-step explanation:

Well 6x plus 12x must equal 90 degrees. 6x plus 12x plus 90 has to equal 180.

Therefore, 6x + 12x + 90 = 180

Because then, if you subtract 90 from both sides, you have that 6x + 12x = 90.

Answer:

  y = x² -14x +46

Step-by-step explanation:

You want a standard form quadratic equation that has a vertex at (7, -3).

The vertex form of a quadratic equation is ...

  y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'

Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...

  y = (x -7)² -3

Simplifying this equation gives ...

  y = x² -14x +49 -3

  y = x² -14x +46 . . . . . . . standard form equation

The chord and the diameter are perpendicular.

Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.

Now, focus on triangles OAC and OBC. They have:

So, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.

In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.

A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.

Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.

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Answer:

137.8

Step-by-step explanation:

X score for value that is greater than 45% of the data values= 156.78.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 140

Standard Deviation = 18

Now, using z- score

z= (x- B)/ A

So, Z score for value above 45 % of data set = 0.9987 - 0.0668=0.9319

0.9319 = ( x - 140)/ 18

x= 16.7742 + 140

x= 176. 4472

Hence, X score for value that is greater than 45% of the data values is 156.78.

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Answer:

I believe it is c

Step-by-step explanation:

Answer: for the first one the answer is 18.2 cm sq

For the second one the answer is 40.9 cm sq

Step-by-step explanation: the step by step explanation is on the picture

Answer:0.385

Step-by-step explanation:(3.5*100)*11

(3.5*11)*100

38.5*100 = 0.385

Answer:

From 2012 to 2013 30% of people move for family based reasons so about 12492.6 give or take based on small variation

Step-by-step explanation:

divide 41,642 by 30%

Answer:next time provide the options and the girl that answer the question is incorrect

Step-by-step explanation:

Answer:

£33

Step-by-step explanation:

The share ratio is 3 :3:4

So the rational division is 3 + 3 + 4 = 10

Gordon and Malachy share is £77,

[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]

Carol's share =

[tex] \frac{3}{10} \times 110 = 33[/tex]

=£33

Final answer:

Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.

Explanation:

The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.

Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.

£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.

Answer:

x=11

Step-by-step explanation:

Since the triangles are similar, we can use ratios to solve

36                 6x-6

------------- = --------------

24                   3x+7

Using cross products

36(3x+7) = 24(6x-6)

108x +252 = 144x - 144

Subtract 108x from each side

108x-108x +252 = 144x-108x - 144

252 =36x -144

Add 144 to each side

252+144 = 36x-144+144

396 =36x

Divide by 36

396/36 =36x/36

11 =x

Answer:

x = 11

Step-by-step explanation:

Similar figures have sides in the same ratio

24/36 = (3x + 7)/(6x - 6)

2/3 = (3x + 7)/(6x - 6)

12x - 12 = 9x + 21

3x = 33

x = 11

Answer:

10 -

c = 5.1

a = 3.1

11 -

Step-by-step explanation:

10 -

3.7 / 3 = 1.2333    You need this to find how much greater the left side is.

c = 4.1 x 1.2333

a = 2.5 x 1.2333

11 -

y=15

z=

(If two triangles are next to each other with a straight line and one is a right angle, so is the other triangle)

Since they are both right angles, they are 3,4,5 triangles.

The 12 would count as the four since is divides by 4

The y would equal 15 because it is the longest side meaning it has to be the  5. Since we had to divide the 12 by 3 to get the four, we have to multiply the 5 by 3 to get 15.

Now to find z, you will make the equation 15/12=z/5

Answer:

Step-by-step explanation:

1.  Use a calculator with distribution functions here.  We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80.  Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.

According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean.  The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.

Thus, the desired area is 0.500 + 0.340 = 0.840.  This represents the desired probability.

2.  What percentile is a score of 750?  Find the number of standard deviations to the left of 750:

                  750 - 510

z-score = ------------------- = 24/8 = 3.00

                         80

The desired percentile is the area to the left of z = 3.00.  Using a calculator, we find this area to be 0.9987.  That 750 score is in the 99+ percentile.

Answer:

f(1) = 11

Step-by-step explanation:

Given

f(x) = [tex](11)^{x}[/tex]

To evaluate f(1) substitute x = 1 into f(x)

f(1) = [tex](11)^{1}[/tex] = 11

The simplified solution of the function at f(1) = 11.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The given function is,
f(x) = 11ˣ

In order to determine the value of f(1), we have to simply put x = 1 in the function,
f(1) = 11¹

As we know if the degree of any value is 1 than the solution of the expression is always the same as it was,
So,
f(1) = 11

Thus, the simplified solution of the function at f(1) = 11.

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Answer:

y>1/3x+3 and  3x-y>2