What is the decimal multiplier to decrease by 3.9%?

The length of the diagonal of the rectangle is 6.4 meters

From the question, we have the following parameters that can be used in our computation:

Length = 5 meters

Width = 4 meters

The length of the diagonal can be calculated as

diagonal = √(length² + width²)

substitute the known values in the above equation, so, we have the following representation

diagonal = √(5² + 4²)

Evaluate

diagonal = 6.4

Hence, the diagonal is 6.4 meters

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The polynomial equation x³ - 4x² + 2x + 10 = x² - 5x - 3 has complex roots 3 + 2i and 3 - 2i. The other root can be found by solving the equation using a graphing calculator and a system of equations.The first step is to graph both sides of the equation on the calculator by entering y1 = x³ - 4x² + 2x + 10 and y2 = x² - 5x - 3.

Then, find the points of intersection of the two graphs, which represent the roots of the equation. The graphing calculator shows that there are three points of intersection, but two of them are the complex roots already given.

Therefore, the other root must be the remaining point of intersection, which is approximately -1.768.In order to verify this result, a system of equations can be set up using the quadratic formula.

The complex roots of the equation can be used to factor it into (x - (3 + 2i))(x - (3 - 2i))(x - r) = 0, where r is the remaining root. Expanding this expression gives x³ - (6 - 2ir)x² + (13 - 10i + 4r)x - (r(3 - 2i)² + 6(3 - 2i) + r(3 + 2i)² + 6(3 + 2i)) = 0.

Equating the coefficients of each power of x to those of the original equation gives the following system of equations: -6 + 2ir = -4, 13 - 10i + 4r = 2, and -20 - 6r = 10. Solving this system yields r = -1.768, which matches the result obtained from the graphing calculator.

Therefore, the other root of the equation x³ - 4x² + 2x + 10 = x² - 5x - 3 is approximately -1.768.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer: 4

Step-by-step explanation:

27,900/2 =  13,950

27,900 * .115 =3208.5

13,950/3208.5 = 4.3

4

Answer:

Explanation:

The expression to represent the total amount Dave spends on hats (h) is: h = $28 * Number of hats bought.

To represent the total amount Dave spends on hats, we can use the following expression:

Total amount Dave spends on hats (h) = Number of hats (n) * Cost per hat ($28)

In this case, since Dave buys multiple hats, we need to consider the number of hats he purchases. If we assume that Dave buys "x" hats, the expression can be written as:

h = x * $28

Now, whenever we want to calculate the total amount Dave spends on hats, we simply multiply the number of hats he buys by the cost per hat, which is $28.

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The range for the strength of the concrete samples provided is 1110 psi, and the sample standard deviation is 456.7 psi.

In the given set of concrete strength values, the range is calculated by subtracting the lowest value from the highest value. In this case, the lowest value is 2950 psi and the highest value is 4060 psi. Thus, the range is obtained by subtracting 2950 from 4060, resulting in a range of 1110 psi.

To compute the sample standard deviation, we follow a two-step process. First, we calculate the mean (average) of the data set, which is found by summing up all the values and dividing by the total number of values. In this case, the mean is (3980 + 4060 + 3200 + 3100 + 2950 + 3830 + 4060 + 4060) / 8 = 3695 psi.

Next, we find the difference between each data point and the mean, square each difference, sum up the squared differences, divide by (n-1), and take the square root. Performing these calculations for the given data set, we obtain a sample standard deviation of approximately 456.7 psi.

In summary, the range for the concrete strength is 1110 psi, indicating the difference between the highest and lowest values. The sample standard deviation of 456.7 psi reflects the dispersion of the data points around the mean, providing a measure of the variability in concrete strength samples.

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Answer:

0.007349 to 3 significant figure=0.00735

Step-by-step explanation:

Approximate 0.007349 to 3 significant figure

Significant figure start from 1 to 9 with the exclusion of 0

From the question above, there are two zeros after the decimal point, so it will be ignored because it is not a significant figure.

0.007349

The first significant number is 7 after 0

The second significant number is 3

The next

The third significant number is 4

The fourth significant number is 9

We want to approximate to three significant figure, so, all figure after 4(third significant figure) will be rounded up or down.

If the numbers are below 5(0, 1,2,3,4) they will be rounded down to 0

If the numbers are above 4(5,6,7,8,9), they will be rounded up to 1

So the number after 4 is 9, therefore it will be rounded up to make 4=5

0.007349 to 3 significant figure=0.00735

Answer:

17160

Step-by-step explanation:

Total number = n = 13

Number required = r= 4

If the number required does not have a specific order then combinations is chosen.

If a specific arrangement is required then permutations is used.

Here a  specific arrangement is mentioned therefore

13P4= 17160

It would take approximately 0.458 seconds for the ball to travel from the hitter to the pitcher, assuming no other factors affecting the ball's trajectory.

To calculate the time elapsed between the hit and the ball reaching the pitcher, we need to know the distance between the hitter and the pitcher, as well as the speed of the ball.

Let's assume that the distance between the hitter and the pitcher is 60.5 feet, which is the distance between the pitcher's mound and home plate in baseball.

Assuming that there is no air resistance or other factors affecting the ball's trajectory, we can use the following equation to calculate the time elapsed:

time = distance / speed

In this case, the speed of the ball is 90 mph, which is equivalent to 132 feet per second. So:

time = 60.5 feet / 132 feet per second

time = 0.458 seconds

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Answer:

$2.60

I am pretty sure this is correct but will u tell me if its not plz :)

Answer:

29

Step-by-step explanation:

Let's set up an equation...

25%*116=x

We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...

\(\frac{25}{100}*116=x\)

We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing  the fraction by 1.

\(\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29\)

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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Answer:

-26

Step-by-step explanation:

Given the sequence:

16, 9, 2, –5, ...,

To find:

7th measurement, if the above sequence continues:

Solution:

Let us examine the given sequence first:

First term is 16

Second term = 9

Third term = 2

Fourth term = -5

Difference between 2nd and 1st term = 9 - 16 = -7

Difference between 3rd and 2nd term = 2 - 9 = -7

Difference between 4th and 3rd term = -5 - 2 = -7

We can see that there is a common difference of -7 between each term.

That means, the sequence is in Arithmetic Progression.

whose first term, \(a=16\)

Common difference, \(d=-7\)

To find:

7th term i.e. \(a_7=?\)

Solution:

Formula for \(nth\) term of an Arithmetic Progression is given as:

\(a_n=a+(n-1)d\)

Let us put \(n=7\)

\(a_7=16+(7-1)\times (-7)\\\Rightarrow a_7=16+6\times (-7)\\\Rightarrow a_7=16-42\\\Rightarrow \bold{a_7=-26}\)

7th measurement will be -26.

Answer:

7th measurement= -26

Step-by-step explanation:

The sequence is 16, 9, 2, –5, ...,

First term( a)= 16

Second term=9

Common difference (d) = 9-16

Common difference= -7

The sequence is a arithmetic progression

For AP's ,the terms formula is

Term(n) = a + (n-1)d

Where n represent the term to be found

In this case,we Are looking for the 7th term , so n= 7

Term(7) = 16+ (7-1)-7

Term(7)= 16 +6(-7).

Term (7) = 16-42

Term(7) = -26

7th term =-26

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:

80 percent

Step-by-step explanation:

Dvide 300 by 240 which gives you 80 percent the amount of students that atended.

Answer:

80%

Step-by-step explanation:

240/300=.8

.8=80%

Answer:

surface area y is equal to 7cm.

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

it's b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The area of given triangle whose base is 2 ft and height is 3/4 ft  is \(\frac{3}{4} ft^2\) .

The total area that is bounded by a triangle's three sides is termed as the triangle's area. In general, it is equal to 1/2 of the height times the base, or A = 1/2 b h. So, in order to get the area of a triangular polygon, we must first determine its base (b) and height (h).

In the given figure , we have,

Base = 2 ft

Height = 3/4 ft

Then , Area of Triangle,

\(=\frac{1}{2} *base *height\\\\=\frac{1}{2} *2 *\frac{3}{4}\\ \\=\frac{3}{4} ft^2\)

So , Thus, the provided triangle's area is  \(\frac{3}{4} ft^2\) .

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The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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Answer:

y-1= -(3/4)(x-8)

Step-by-step explanation:

y -1  =(-3/4)(x-8)

Distribute

y -1= (-3/4)x+6

Get rid of -1 by adding 1 to both sides

y=(-3/4)x+7

Hope this helps :)

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

Answer:

\(this \: can \: be \: done \: by \: appling \: the \to \\ rate \: of \: change \: law : \\ r.o.c \: (m) = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } \)

The statement that is  true regarding the image of the dilation is: 'the image will be smaller than the pre-image'

In this question, we have been given an image is dilated by a scale factor of n = 0.06

We need to select a statement that is  true regarding the image of the dilation.

We know that  if the scale factor is greater than 1, then the image of dilation stretches and if the scale factor is between 0 and 1, then the image of dilation shrinks.

here for n = 0.06, 0 < 0.06 < 1

the scale factor is between 0 and 1

Therefore,  the statement that is  true regarding the image of the dilation is: 'the image will be smaller than the pre-image'

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Answer:

y=4x+10

Step-by-step explanation:

2y-8x-20=0

2y-8x=0+20

2y-8x=20

2y=8x+20

y=4x+10

Hope this will help!!:)