f(x) = (cos(x))/(sqrtx)

Find the derivative

There are 32 natural numbers less than 200 that are divisible by 4 but not 3.

Natural numbers are those positive numbers which start from one and goes to infinity.

Here, we have to find the natural numbers divisible by 4 but they should not be divisible by 3.

First, we will find all the natural numbers that are less than 200 and divisble by 4.

We will find all those numbers which can be divided by 4 starting from 4 till 200.

Such numbers ae 4,8,12,16,20,24,28,32,36,40,44,48,52,54,56,60,64,68,72,76,80,84,88,92,94,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,154,156,160,164, 168, 172,176,180,184,188,192,194,196, 200

There are total 50 numbers which are divisible by 4 which are less than 200

Now we will find among these which are divisible by 3

We will find all those numbers which are divisible by 3 starting from 4 till 200 because 4 is the first number which is divisible by 4.

These are 12,24,36,48,54,60,72,84,96,108,120,124,132,144,156,168,180,192

These are in total 18

Now, we will subtract them

Answer is 50-18 = 32

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The perimeter of a square having area of 36[tex]cm^{2}[/tex] is equal to 24cm

Square of area A= 36[tex]cm^{2}[/tex]

We know that a square is a quadrilateral( a closed figure with four sides) with all 4 sides equal in length. Let the measure of one side of a square be x. from the formula to find out the area of a square we know that

Area of a square A = [tex]x^{2}[/tex]

∴From the data given in the problem

[tex]x^{2}[/tex] = 36

⇒x = √36

⇒x = 6

∴The measure of one side of a square = x cm = 6 cm

We know that the perimeter of a square = x+x+x+x = 4x

∴The perimeter of the given square = 4x = 4 × 6 = 24cm

Hence we get by solving as done above that for a square of area 36cm^2

the perimeter of the square is 24cm

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Answer:

c = 6

Step-by-step explanation:

7c + 12 = -4c + 78

subtract 12 from both sides:

7c + 12 - 12 = -4c + 78 - 12

7c = -4c + 66

add 4c to both sides:

7c+  4c = -4c + 66 + 4c

11c = 66

divide both sides by 11:

11c/11 = 66/11

c = 6

To find the set of a quadratic inequation, we first need to find the roots of the quatradic equation. The roots can be found by using the same inequality but changing the inequality sign the euqal sign:

Let's use the Bharkara Equation to find the roots:

So we get the roots x = 3 and x = -5. This are the point at which the graph changes its sign.

The quadratic term (the one multiplying x²) is 1, which is positive. Because of that, the parabola of the quadratic expression has a minimum vertex:

For the drawing, it can be seen that when x is between -5 and 3, the equation has a negative sign, while when x is lower than -5 or greater than 3 the expression has positive sign. We want the expression:

So, when it is greater than 0, meaning positive. Then, the set that solves the quadratic inequation is:

Answer:

8

Step-by-step explanation:

D=wp+4

D-4=wp

D-4/w=p

p=100-4/12

p=96/12

p=8

Answer:

Dp/(wp+4)=p

Step-by-step explanation:

Number 1 D=wp+4

p×D=wp×p+4×p

=Dp=wp²+4p

=Dp=p(wp+4)

=from here you will divide both sides (wp+4) to get your answer

Number 2. 100p/(12p+4)=p

so from here 4 will divide 100 25 times leaving the answer 25p/12p=p

By solving the system of equations, and seeing in which quadrant is each solution, we conclude that:

Here we get the following system of equations:

x^2 - y = 7

y - 5x = -11

If we isolate the same variable in both of the equations, then we can equate them, so I will isolate "y" in both of the equations of the system.

y = x^2 - 7

y = -11 + 5x

Now we can write:

x^2 - 7 = -11 + 5x

So we have the quadratic equation, this can be rewritten as:

x^2 - 7 + 11 - 5x = 0

x^2 - 5x + 4 = 0

Using the Baskhara's formula (or the quadratic formula), we will get the two solutions for x.

[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]

The solutions are:

[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]

So we get:

x = (5 + 3)/2 = 4

x = (5 - 3)/2 = 1

Evaluating the linear equation in these values of x:

y = -11 + 5*4 = -11 + 20 = 9

y = -11 + 5*1 = -6

So we get the coordinate pairs (4, 9) which is on the first quadrant because both values are positive, and (1, -6) which is on the fourth quadrant because the x-value is positive and the y-value is negative.

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A rise or a decline may be represented by an exponential function in either direction.

This is further explained below.

A)

The exponential function is represented as follows for fuel A:

f(x)=2.96(1.04)^x

A representation of an exponential function looks like this:

y=a b^x

Where b is the rate being calculated.

b=1.04

Since b (which is equivalent to 1.04) is bigger than 1, it follows that the price of gasoline A is going up.

B)

A representation of an exponential function may be seen in the table.

To get the cost of gasoline type B, just divide the current price by the price that was in effect just a moment ago.

Therefore, we have:

[tex]\begin{aligned}&b=\frac{3.41}{3.22} \\&b=1.06\end{aligned}[/tex]

1.06 is a higher number than 1.04, by way of comparison (the rate of fuel A).

Consequently, gasoline B had a bigger percentage shift in price than fuel A did.

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Total change to Dracula account balance will be the account balance is $40.

What is mean by subtraction?

The operation of taking the difference of two number is called Subtraction.

Given that;

Dracula made a deposit of $220 into his checking account.

Dracula made two withdrawals of $80 each.

Now, Total change to his account after transaction will be calculated as;

Total amount in Dracula account = $220

And, Total withdrawals amount = 2 x $80

                                                = $160

Thus, Money in account after transaction = $220 - $160

                                                               = $40

Therefore, Total change to Dracula account balance will be the account balance is $40.

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Answer:

there are 60 slices of ham

Step-by-step explanation:

Some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.

According to the question,

We have the following information:

Math sums under 13

Now, we have to find mathematical expressions involving addition but the condition is that the result should be under 13.

Now, we know that we can have 2 or more than 2 numbers in sums but to make it easy we will have only two numbers.

Now, we will take some first numbers in some math sums to be 5, 6 and 7.

Now, the second digit can be found easily by subtracting the numbers from 13.

So, the digits should be less than the result we get.

13-5 = 8

So, it can be less than 8.

13-6 = 7

So, it can be less than 7.

In this way, we can take any digit less than these numbers.

Hence, some of the math sums in which the result is under 13 are (5+2), (6+3), (7+5), etc.

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The restaurant can make 992 pancakes in 2 hours

Given

The restaurant uses 124 cups every hour

Each cup can be used to make 4 pan cakes.

Since 1/4 cups of mix can make one pancake.

All the pancakes are in equal size

Since 4 pancakes can be made from one cup of mix

The restaurant uses 124 cups of mix which means

For an hour the restaurant produces 4 x 124 pancakes Which is equal to 496 pancakes

In two hours The restaurant can make double that of one hour

Hence 496 x 2

992

The restaurant can make 992 pancakes in two hours

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Answer:

77.2

Step-by-step explanation:

According to the solution of the fractions. Hiroko cuts her string into 6 equal-size pieces.

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces.​The numerator and denominator of positive common fractions are both natural integers. The denominator shows how many of the numerator's equal parts make up a unit or whole, while the numerator reflects the number of equal parts.

When a fraction is divided, it reciprocated i.e, denominator and numerator change their places. So, in given fraction-

4÷4/6=4×6/4

     =6

Therefore, Hiroko cuts her string into 6 equal pieces.

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Ana is traveling North America, she can exchange for 150 Canadian dollars, 2500 pesos.

Canada's official currency is the Canadian dollar. There is no standard disambiguating form, nevertheless, prominent style guides frequently recommend abbreviation Can$ to distinguish it from other dollar-denominated currencies. It is abbreviated with dollar sign $. There are 100 cents (¢) in it.

Due to the common loon depicted on its reverse, the dollar coin and occasionally the money itself are referred to as "loonies" by English-speaking Canadians, currency dealers, and analysts.

The Canadian dollar ranks behind the U.S. dollar, the euro, the yen, and sterling as the fifth most widely held reserve currency in the world, making up around 2% of all reserves. Because of Canada's relatively stable economy, strong sovereign position, and stability of its judicial and political systems, the Canadian dollar is favored by central banks.

5 pesos = 0.3 Canadian dollars

5\0.3 pesos = 1 Canadian dollars

[tex]150 Canadian dollars= \frac{5}{0.3} * 150 pesos = 2500 pesos[/tex]

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Answer:

2,3,5

Step-by-step explanation:

First, 10^3 is 1000 and 3.6 x 1000 = 3600.

So, the factors of 3600 are 2,3,5

Through this photo if this helps:

3.6 x 10³ as a product of the powers of its prime factors is

[tex]2^4[/tex] x 3² x 5²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3.6 x 10³

This can be written as,

= 3.6 x 1000

= 36/10 x 1000

= 3600

Now,

3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

2, 3, and 5 are prime numbers.

This means,

[tex]2^4[/tex] x 3² x 5²

Thus,

The powers of prime factors are

[tex]2^4[/tex] x 3² x 5²

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y =3x^2+2

In the function notation we write f(x) instead of y.

So, for this case:

f(x)=3x^2+2

Answer: x = [tex]\frac{ \sqrt{7}-5}{2}[/tex]

              x = [tex]\frac{ -\sqrt{7}-5}{2}[/tex]

Step-by-step explanation:

[tex](2x + 5)^{2} - 7 = 0[/tex]

Add 7 to both sides of the equation.

[tex](2x + 5)^{2} - 7 + 7= 0 + 7[/tex]

Subtracting 7 from itself leaves 0.

[tex](2x + 5)x^{2} =7[/tex]

Take the square root of both sides of the equation.

[tex]2x + 5 = \sqrt{7} \\2x + 5 = -\sqrt{7}[/tex]

Subtract 5 from both sides of the equation.

[tex]2x + 5 - 5 = \sqrt{7} - 5 \\2x + 5 - 5 = - \sqrt{7} - 5[/tex]

Subtracting 5 from itself leaves 0.

[tex]2x = \sqrt{7} - 5 \\2x = - \sqrt{7} - 5[/tex]

Subtract 5 from [tex]\sqrt{7}[/tex].

[tex]2x = \sqrt{7} - 5[/tex]

Subtract 5 from [tex]-\sqrt{7}[/tex].

[tex]2x = -\sqrt{7} - 5[/tex]

Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{ \sqrt{7}-5}{2} \\\frac{2x}{2} =\frac{- \sqrt{7}-5}{2}[/tex]

Dividing by 2 undoes the multiplication by 2.

[tex]x=\frac{ \sqrt{7}-5}{2}\\x=\frac{ -\sqrt{7}-5}{2}[/tex]

The ratio of pens Meredith has to ratio of pens Brody has is 2 : 1

The of pencils Meredith has to ratio of pencils Brody has is 1 : 2

Ratio refers to the number representing a comparison between two named quantities.

Comparison of their ratios of pens to pencils:

Ratio of pens Meredith has to ratio of pens Brody has = 8 pens : 4 pens

= 8 / 4

= 2 / 1

= 2 : 1

Ratio of pencils Meredith has to ratio of pencils Brody has = 9 pencils : 9 pencils

= 1 / 1

= 1 : 1

So therefore, their ratio of pens is 2 : 1 and their ratio of pencils is 1 : 1

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[tex]=\sqrt{10*8} \\=\sqrt{80} \\=\sqrt{16*5} \\=\sqrt{16} *\sqrt{5} \\=4\sqrt{5}[/tex]

⇒The SECOND option is The BEST answer .

Δ...BUT also the THIRD OPTION CAN be the answer but it is not simplified completely. IT IS SAFE TO CHOOSE THE SECOND OPTION because it is completely simplified.

Answer:

nicholas' score is -120 points

Step-by-step explanation:

-85-35=-120

Answer:

B.

Step-by-step explanation:

34-15 goes into paratheses because it goes first.

Then multiply by 4.

(34 - 15) x 4

Hope this helps!

If you get this right, giving me brainliest would mean a lot! Thanks!

Answer:

a percent greater than 100 could be 150%.

Lets say part is 15

15 is 150% of what?

is/of=%/100

fill in that and cross multiply to find "of"

15/x=150/100

x should equal 10.

I'm not sure exactly what your asking but if you are supposed to just make up numbers?  And solve for it?  That should be what you're looking for. Good luck I guess!

Step-by-step explanation:

The Z-score for the 40-week gestation period baby weights 2450 grams is -0.86 is smaller.

The provided deals with Z-scores. A Z-score shows how many standard deviations away from the mean an element is. A numerical evaluation of a value's relationship to the mean within a group of values is called a Z-score. Z-scores can also be favorable or unfavorable.

The score is above the mean, as indicated by the positive value.

The score is below average as indicated by the negative value.

Given the information,

The mean weight and standard deviation of newborns born after a gestation of 32 to 35 weeks are 2700 grams and 800 grams, respectively.

Consequently, the 33-week gestation baby's Z-score is 2250 grams.

Z = σx − μ​ = (2250−2700) / 800 ​= -450 / 800 ​= −0.5625

The goal is to calculate the Z-score for babies born at 33 weeks gestation.

There is sufficient data to infer, based on the Z-score, that the 33-week gestation period falls 0.56 standard deviations below the mean.

According to the data, babies that are born after a gestation of 40 weeks have a mean weight of 2900 grams and an average range of 445 grams.

Consequently, the baby's Z-score at 40 weeks of pregnancy, weighing 2450 grams, is

Z = σx − μ ​= 385 / 2450 − 2900 ​= 385 / -450 ​= -0.86

The goal is to calculate the Z-score for baby weights at 40 weeks of gestation.

There is sufficient data to infer, based on the Z-score, that the 40-week gestation time falls 0.86 standard deviations below the mean.

The infant weighs 2250 grams at 33 weeks gestation, and the Z-score is -0.56.

The baby weighs 2450 grams at 40 weeks of pregnancy, and the Z-score is -0.86.

Since the infant weighs 2450 grams during 40 weeks of gestation, the Z-score for that period is lesser at -0.86.

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Explanation:

Think of a set of dominoes. If domino A pushes over B, which pushes over C, then ultimately A caused C to fall over. So that's how we combine both A=B and B=C to end up with A = C.

You could also think of it using this kind of arrow notation

[tex]\text{If }A \to B \text{ and } B \to C, \ \text{then }A \to C[/tex]

Or you can think of it like going from city A to city B, then to city C. Ultimately you have gone from city A to city C.

Answer:

20

Step-by-step explanation:

I took the test and passed I hope this helps.

Answer:

-7.2s - 11.4

Step-by-step explanation:

Answer:

-7.2s -11.4

Step-by-step explanation:

Distribute the 3 to each value in the parentheses by multiplying

you get -7.2s -11.4

The two figures are not the same size because 6/3 twice less than 8/4.

A scale factor is defined as the factor that shows how much a figure is greater or smaller than the original size that it's been compared to.

From the square diagram that is given the smaller square is double the larger square.

This can be calculated by dividing the bigger sides by the smaller sides.

That is ;

6/3 =2

8/4 = 2

It can therefore be concluded that the two square shapes are not of the same size as the smaller square is two time smaller that the bigger square.

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Step-by-step explanation:

I assume you need the equation in slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

let's use the 2 points, where the line intersects the x- and the y- coordinate axis : (0, 9) and (9, 0)

that gives us "b" already : the y-value when x = 0 is 9.

about the slope "a" :

x changes by +9 (from 0 to 9).

y changes by -9 (from 9 to 0).

the slope is then -9/+9 = -1/1 = -1

and the equation is

y = -x + 9

According to the formula of cylindrical volume, we can find out that the rate at which the height of the water level is changing is [tex]\frac{3}{200\pi } inch/min[/tex].

Water is increasing at a rate of ( 3/200π ) inch/min in a cylindrical tank.

It is given to us that, for a right cylindrical tank,

Radius of the base, r = 20 inch ----- (1)

The rate of water poured into the cylindrical tank,

[tex]\frac{dV}{dt}[/tex] = 6 cubic inch per min ------- (2)

We have to find out the rate of change of height when the water level is 12 inches high.

This implies, we need to calculate [tex]\frac{dh}{dt}[/tex].

To find out [tex]\frac{dh}{dt}[/tex] , we have to use the equation for the volume of a right cylinder.

Let us say, the volume of cylinder is represented as V

We know, the formula of volume of a cylinder is

[tex]V = \pi r^{2} h[/tex] ------(3)

Substituting the value of r from equation 1 in equation 3, we will get

[tex]V = \pi r^{2} h\\= > V = \pi 20^{2} h\\= > V = \pi 400 h[/tex] ----- (4)

Differentiate equation (4) with respect to time,

[tex]\frac{d}{dt} V = \frac{d}{dt}[ \pi 400 h]\\= > \frac{dV}{dt}= \pi 400\frac{dh}{dt}[/tex] ----- (5)

Substituting the value of [tex]\frac{dV}{dt}[/tex] from equation (2) in equation (5), we have

[tex]6 = \pi 400\frac{dh}{dt}\\= > \frac{dh}{dt} = \frac{6}{400\pi }\\= > \frac{dh}{dt} = \frac{3}{200\pi } inch/min[/tex]

Thus, [tex]\frac{3}{200\pi } inch/min[/tex]  is the rate at which the height of the water level is changing.

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The required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .

Given equation is y = - 3/4 - 14

this is of the form y = mx + c

on comparing, m= - 3/4

And the points given are x = 0 and y =13

thus as we know that the equation of the line is

y - y₁ = m ( x- x₁ )

On substituting the values mentioned above we see that

y - 13 = - 3/ 4 ( x - 0 )

4 y - 52 = - 3 x

and on rearranging we get :

3x + 4y = 52

Thus the required equation that is perpendicular to the line y = -¾ x - 14 and goes through the point (0, 13) is 3x + 4y = 52 .

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