f of x is equal to 4x divided by the quantity of x minus 16 end quantity.

The appropriate expression to identify the amount of formalin is: x = 3200 ÷ 100 × 44%

To calculate the amount of formalin in this substance we must perform the following mathematical operation:

According to the above, the mathematical expression would be:

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Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2       Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.

A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:

However, only the month of May had a birth of just over 10%.

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The answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

f(x) = 5/2x

g(x) = 2x - 7

It is asked to found

f.f

g.g

f.f (x) = (5/2x) * (5/2x)

= 25 / 4x²

g.g(x)= ( 2x - 7)( 2x - 7)

= 4x² -28x +49

Both the answers are in its simplified form

Therefore the answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

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Answer:

To determine the most suitable candidate we will calculate their total scores and see who's the best.

first for mr X

work experience = 70

score = work experience x wieght = 70 x 4 = 280

Entrance = 78

score = 78 x 3 = 234

Interview = 70

score = 70 x 4 = 210

total score = 280 + 234 + 280 = 794

for mr Y

Work experience = 89

score = 89 x 4 = 356

Entrance = 83

score = 83 x 3 = 249

Interview = 89

Score = 89 x 4 = 356

Total score = 356 + 249 + 356 = 961

for mr Z

work experience = 85

score = 85 x 4 = 340

Entrance = 89

Score = 89 x 3 = 267

Interview = 85

Score = 85 x 4 = 340

Total score = 340 + 267 + 340 = 947

So as we can see Mr Y has best score therefore I think he's the best for the job.

Explanation:

[tex]\sf Average \ Result : \dfrac{sum \ of \ value \ of \ scores}{sum \ of \ weight}[/tex]

Workout:

[tex]\sf For \ candidate \ X = \dfrac{70 \ \cdot \ 4 \ + 78 \ \cdot \ 3 \ + 70 \ \cdot \ 4 }{4 + 3 + 4} = 72.18 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Y = \dfrac{89 \ \cdot \ 4 \ + 83 \ \cdot \ 3 \ + 89 \ \cdot \ 4 }{4 + 3 + 4} = 87.36 \ \ average \ score[/tex]

[tex]\sf For \ candidate \ Z = \dfrac{85 \ \cdot \ 4 \ + 89 \ \cdot \ 3 \ + 85 \ \cdot \ 4 }{4 + 3 + 4} = 86.09 \ \ average \ score[/tex]

Conclusion:

Among all of them, candidate Y has the best average score of about 87.36 whereas candidate Z has second best score of 86.09 average score and candidate X has the least average score of 72.18.

Candidate Y is the appropriate candidate for this position on the criteria.

Answer:

A maybe?

Step-by-step explanation:

by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.

Plug Values In:

(1-3) / (1-0) = -2/1 = -2

slope of f(x) = -2

slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)

I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.

The value of the z test statistic will be 2.55.

The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z test statistics is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.

Then the value of the z test statistic will be

z = (x – μ) / σ

z = (25 - 14) / 4.32

z = 11 / 4.32

z = 2.546 ≈ 2.55

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The dimensions of the garden with the largest area she can enclose are given by 24*14 square yards.

The area (A) of the rectangle with length L and Width W is given by,

A=L*W

The maximum of [tex]y=ax^2+bx[/tex] occurs at x = -b/2a

Let the length and width of the garden be L and W respectively.

Now let my friend use cedar fencing for one width and cheaper metal fencing for rest sides.

Rate of cedar fencing is $17/yard

Then she has to pay for cedar fencing = 17W

rate of cheaper metal fencing is $7/yard

Then she has to pay for metal fencing = 7W+7*2L = 7W+14L

Then according to condition,

17W+7W+14L = 672

24W+14L = 672

12W+7L = 336

7L = 336-12W

L = (336-12W)/7

Then the area of the rectangular garden is given by,

A = L*W

[tex]A=\frac{336-12W}{7}\times W\\A=-\frac{12}{7}W^2+48W[/tex]

So here a = -12/7 and b = 48

Then maximum of W occurs at,

W = -48/(2*(-12/7)) = (48*7)/(2*12) = 336/24 = 14

Then maximum width = 14 yards

then length (L) = (336-12*14)/7 = 168/7 = 24 yards

Hence the dimensions with the leargest area she can enclose is given by = 24 * 14 square yards.

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Answer:

[tex]x = \frac{y - 1150}{5} [/tex]

Step-by-step explanation:

[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]

Answer:

600

Step-by-step explanation:

Because the tens digit is less than 5, round down to 600

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

The function that includes the given points of (0,−2),(5,13),(−2,−8),(4,10) is the second encircled option by the top right in the image attached.

Note that all function of  (0,−2),(5,13),(−2,−8),(4,10)  can be seen as all the brackets are placed in the form (X, Y), Y=P(x)

In the case above, how we arrived at the answer, you have to fill up the X's in the brackets using the X's in the Options.

Then since P(x) is the number one see in place of Y in the brackets, then that the top Right option is correct as it has −2.

Therefore, The function that includes the given points of (0,−2),(5,13),(−2,−8),(4,10) is the second encircled option by the top right in the image attached.

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Answer:

t = - 6

Step-by-step explanation:

8t + 3(t + 4) = 6(t - 3) ← distribute parenthesis on both sides )

8t + 3t + 12 = 6t - 18 , that is

11t + 12 = 6t - 18 ( subtract 6t from both sides )

5t + 12 = - 18 ( subtract 12 from both sides )

5t = - 30 ( divide both sides by 5 )

t = - 6

The answers for following questions are;

i. $244.64

ii. $ 5314.64

Future value (FV) is the value of a current asset at a future date based on an assumed rate of growth. The future value is important to investors and financial planners, as they use it to estimate how much an investment made today will be worth in the future.

Here, future value or amount;

          A = P(1 + r)ⁿ

Where,

A = future value = ?

P = principal = $ 12,300

r = interest rate = 6%/12 = 0.06/12 = 0.005

n = number of periods = 12 X 6 years = 72

A = P(1 + r)ⁿ

= 12,300(1 + 0.06/12)⁷²

= 12300 (1 + 0.005)⁷²

= 12300 (1.005)⁷²

= 12300 (1.4384)

= 17,614.64

Each monthly payment = Total payment / number of months

= $17,614.64 / 72

= $ 244.64

Total amount of interest = Total payment - Principal payment

                                          =   17,614.64 - 12300

                                          =   $ 5314.64

Thus, The answers for following questions are;

i. $244.64

ii. $ 5314.64

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Answer:

This is my answer↓:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

so if its a 6 faced dice then there is a 3/6 numbers greater than 3. which simplifies to 1/2. 30(1/2)= 15

Answer:

Let x = number of half-page advertisements

Let y = number of full-page advertisements

[tex]\begin{cases} 42x + 86y = 1192\\ x + y = 20\end{cases}[/tex]

8 full-page advertisements

12 half-page advertisements

Step-by-step explanation:

Definition of variables

Let x = number of half-page advertisements

Let y = number of full-page advertisements

Given information:

Using the given information, we can write a system of equations:

Equation 1:  42x + 86y = 1192

Equation 2:   x + y = 20

To solve the system of equations, rearrange Equation 2 to make x the subject:

⇒ x = 20 - y

then substitute this into Equation 1 and solve for y:

⇒ 42(20 - y) + 86y = 1192

⇒ 840 - 42y + 86y = 1192

⇒ 840 + 44y = 1192

⇒ 44y = 352

⇒ y = 8

Substitute the found value of y into Equation 2 and solve for x:

⇒ x + 8 = 20

⇒ x = 12

Therefore, Kathryn purchased:

The set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

It is the set that contains all possible output values.

In the diagram, we have that:

Hence the set that represents the range of the diagram below is given as follows:

B. {3, 5, 7}.

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The multiplicative rate of change of the function f(x) = 2 × 5ˣ is 5.

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = bˣ, where b > 0 and b ≠ 1.

The function is given as:

f(x) = 2 X 5ˣ

The above function is an exponential function.

An exponential function is represented as:

f(x) = abˣ

Where b represents the multiplicative rate

By comparison;

b = 5

Thus, the multiplicative rate of change of the function is 5.

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Answer:

B!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

The probability that a random passenger survived is 0.38

The probability that this passenger was in first class and survived is 0.153

The probability that the passenger in the first class survived is 0.620

The probability that the passenger that survived was in first class is 0.402

The probability that the passenger that survived was in third class is 0.362

The probability that a random passenger survived is 500 / 1317 = 0.38

The probability that this passenger was in first class and survived is 201 / 1317 = 0.153

The probability that the passenger in the first class survived is:  201 /324 = 0.620

The probability that the passenger that survived was in first class: 201/500 = 0.402

The probability that the passenger that survived was in third class is: 181 / 500 = 0.362

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The baby is 111.3 ounces or 6.96 pounds lighter than an average baby.

Weight is the measurement of Gravitational force on an object.

It can be zero as in the space.

It is given in the question that

A baby weighed only 8.7 ounces at birth

weight of an average baby is 7lb 8 ounces

1 lb = 16 ounce

an average baby weight = 7 * 16 +8 = 120 ounces

The baby weight is just 8.7 ounces

so the baby is 120-8.7 = 111.3 ounces lighter than an average baby.

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Answer:  A B C

Step-by-step explanation:

A whole number is like 1,500 and a nonwhole number is like 33.2 or like 55/100.  

And have a good day.

Parent function

Now look the transformations

x is changed and shifted 6 units right

Then

Horizontally Streched with a factor of 5

Answer:

B)  The graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Given functions:

[tex]f(x) = x^2[/tex]

[tex]k(x) = 5(x - 6)^2[/tex]

Parent function:  [tex]f(x) = x^2[/tex]

Translated 6 units right:  [tex]f(x-6)=(x-6)^2[/tex]

Then stretched vertically by a factor of 5:   [tex]5f(x-6)=5(x-6)^2[/tex]

[tex]\implies 5f(x-6)=5(x-6)^2=k(x)[/tex]

Therefore, the graph of k(x) is vertically stretched by a factor of 5 and shifted 6 units right.

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Answer:

The correct answers are A B D

Step-by-step explanation:

hope this helped!

Answer:

The Answer is [B]

Step-by-step explanation:
i actually dont have one

Answer:

∠MOP ≅ ∠NOQ

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Therefore:

∠MON ≅ POQ  and  ∠MOP ≅ ∠NOQ

The graph of x >2 is attached below

Clearly, the graph of x> 2 could be area beyond 2 on positive X axis

What is graph?

The graph is a demonstration of curves  which gives the relationship between x and y axis.

The question seems to be incomplete, because options are missing.
so the option can be of several graphs.

Thus, The correct Graph of x >2 has been attached below.

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Answer:

y= 5x+165

Step-by-step explanation:

the slope is 5, so five per day, plus the y-intercept, or when x = 0

Brainliest pls

Answer:

2

Step-by-step explanation:

In asin(bx - c) + d, a is the amplitude. In this case, it's 2.

Brainliest, please :)

The z-score for 81 is 1.75

The given parameters are:

μ = 60 , X=81, and σ = 12

The z scores is calculated using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Substitute the given values

[tex]z = \frac{81 - 60}{12}[/tex]

Evaluate the difference

[tex]z = \frac{21}{12}[/tex]

Simplify

z = 1.75

Hence, the z-score for 81 is 1.75

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Answer:

x=50

Step-by-step explanation:

3x-5=145(vertically opposite angle)

3x=145+5

3x=150

x=150/3

x=50

DON'T FORGET TO WRITE DEGREE

Answer:

x = 50

Step-by-step explanation:

Vertically opposite angles are of equal measure.

3x - 5 = 145

3x = 145 + 5

3x = 150

x = 50

That's all i know, Hope it helps!