A circle's circumference is approximately 88 cm. Estimate the diameter, rounding to the nearest WHOLE number. (don't forget your units and use 3.14 if you need to use )

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

To know more about Substraction method go through:-

https://brainly.com/question/17301989

#SPJ4

Through the formula of standard deviation there are 202 prawns in the interval symmetrical about the mean where 80% of the numbers are found.

What is standard deviation?

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation.

The average number of traps is 230.

The value for standard deviation is 22.

The formula is as follows -

z={x-u}/sigma

Here u is the parent mean and z is standard deviation.

The z-values for the relevant interval must first be obtained. These can be calculated using the ordinary normal distribution with the values z = 1.281 and z = -1.281.

Calculate using the formula -

-1.281={X-230}/22, 1.281={X-230}/22

-28.182=X-230, 28.182=X-230

X=201.818≅202, X=258.182≅259

Since, 230 is the average number of prawns trapped, so 259 cannot be the 80% of the prawns trapped.

Therefore, the number of prawns obtained is 202.

To learn more about standard deviation from the given link

https://brainly.com/question/475676

#SPJ4

Answer:

D.

Step-by-step explanation:

The pattern is line across, then down, then across, then down, then across.

Answer:

D

Step-by-step explanation:

The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.

Answer:

y=35

Step-by-step explanation:

y in (-oo:+oo)

14 = (2*y)/5 // - (2*y)/5

14-((2*y)/5) = 0

(-2/5)*y+14 = 0

14-2/5*y = 0 // - 14

-2/5*y = -14 // : -2/5

y = -14/(-2/5)

y = 35

y = 35

Answer:

Experimental = 8/25 = 0.32 = 32%

Theoretical = 1/6 = 0.16 - 16.6%

Step-by-step explanation:

Experimental probability is the number of attempts you took and the umber of times you got a certain value. In this case it is 8/25.

This can be written as a decimal or percentage = 0.32 = 32%

Theoretical Probability is when you attempt something with a biased instrument. and the number of times you expect to get a certain value is the theoretical probability.

So, since this 6 sided dice was your instrument, we know that there is a total of 6 numbers on there and the number three appears only once.

So, the theoretical probability = 1/6

This can be written as a decimal or percentage too = 0.16 = 16.6%

Hope this helps

The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

Learn more about reduction of order at

https://brainly.com/question/32250420

#SPJ11

Answer:

-2

Step-by-step explanation:

Hey there!

Use this guide so you can tackle problems like this in the future to yourself! ⬇️

• Negative (–) & Negative (–) = Positive (+)

• Positive (+) & Negative (–) = Negative (–)

• Negative (–) & Positive (+) = Negative (–)

• Positive (+) & Positive (+) = Positive (+)

Based on the information/guide we now know our answer has to be a NEGATIVE number because we have a positive and negative in the equation!

18 ÷ -9 = -2

Thus your answer answer is most likely: -2 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

8

Step-by-step explanation:

The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

A relation is a function if it has only One y-value for each x-value.

The average rate of a function f(x)  from x=a to x=b is given as:

= f(b)-f(a)/b-a

Clearly we are asked to find the average rate of change from x=0 to x=2.

i.e. a=0 and b=2

Also, from the graph it could be observed that:

f(0)=1

and f(2)=-3

=f(2)-f(0)/2-0

=-3-1/2

=-4/2

=-2

Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

One such vector is: w = (1/sqrt(2))<0, 0, 20> = <0, 0, 10sqrt(2)>. To find the vector in the direction of maximum rate of change,

we need to find the gradient of f(x, y) at the point (-1, 2) and then normalize it. The gradient of f(x, y) is given by: grad(f) = <2xy^3, 3x^2y^2> ,So, at the point (-1, 2),

we have: grad(f) = <−16, 12>, To normalize this vector, we need to divide it by its magnitude: ||grad(f)|| = sqrt((-16)^2 + 12^2) = 20 .

So, the vector in the direction of maximum rate of change is: v = (1/20)<−16, 12> = <-0.8, 0.6>, To find the vector in the direction of minimum rate of change, we can find the negative of the gradient and normalize it: grad(f) = <−16, 12>, ||grad(f)|| = 20.

So, the vector in the direction of minimum rate of change is: v = (1/20)<16, -12> = <0.8, -0.6>, Finally, to find a direction in which the rate of change is zero, we need to find a vector perpendicular to the gradient. One way to do this is to take the cross product of the gradient with any nonzero vector in the plane.

For example, we can take the vector <1, 0>: grad(f) = <−16, 12>, v = <1, 0>, u = v x grad(f) = <0, 0, 20>, So, any vector in the direction of u will have zero rate of change. One such vector is: w = (1/sqrt(2))<0, 0, 20> = <0, 0, 10sqrt(2)>.

To know more about rate click here

brainly.com/question/199664

#SPJ11

The equation of the tangent line to y=7sin(x) at x=π is y = -7x + 7π.

Explanation:
1. Differentiate the function y=7sin(x) with respect to x to find the slope (dy/dx) of the tangent line at any point x.
  dy/dx = 7cos(x)

2. Evaluate the derivative at x=π to find the slope of the tangent line at this specific point.
  dy/dx = 7cos(π) = -7

3. Calculate the y-coordinate of the point where the tangent line touches the curve y=7sin(x) by plugging x=π into the original function:
  y = 7sin(π) = 0

4. The point of tangency is (π, 0), and the slope of the tangent line is -7.

5. Use the point-slope form of a linear equation to find the equation of the tangent line: y - y1 = m(x - x1).
  In this case, (x1, y1) = (π, 0) and m = -7.

6. Plug in the values and simplify the equation:
  y - 0 = -7(x - π)
  y = -7x + 7π

So, the equation of the tangent line is y = -7x + 7π.

Know more about the tangent line click here:

https://brainly.com/question/31617205

#SPJ11

Answer:

135°

Step-by-step explanation:

X is also 135°    as is S  , T  U , V, W and Y

Answer:

b)135°

Step-by-step explanation:

The value of an interior angle of 135° is appreciated

In a regular polygon all interior angles are equal

Angle x = 135°

Hope this helps

Step-by-step explanation:

All steps are in pic above.

Note:if you have any questions about it let me know.

Answer:

\(5 + 4( - 20) \\ 5 + ( - 80) \\ 5 - 80 \\ = - 75\)

I hope I helped you^_^

Answer:

5+4(-20)

Step-by-step explanation:

So you do the one's in parentheses first, which is -20, and then you do 5+4  which is 9

Answer:

(5, 13)

Step-by-step explanation:

Points (4, 8)

Translation right 1 unit. Meaning x + 1

(4, 8) → (5, 8)

Up 5 units. Meaning y + 5

(5, 8) → (5, 13)

So, the final point at (5, 13)

Answer:

7

Step-by-step explanation:

Changing LHS as

Comparing LHS and RHS

The  volume of the largest right circular cone that can be inscribed in a sphere of radius r is  8/27 (volume of sphere)

Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x

∴    V= 1/3πr² h= π/ 3 (R² −x²)(R + x)

       = π/3​ (R² + R² x − Rx² −x² )

∴   dV/ dx​ = π​ /3 [R²−2Rx−3x² ]

  d²V/ dx²​ = π/3​ [−2R−6x]

For max or min V dV/dx​ =0

∴   R² −2Rx−3x² =0

⇒(R + x)(x−3x)=0    

2) x=−R, x​/3 but x = −R

When x= R/3 d² V/dx² <0  V is max only when x= R/3

​∴   Max V= 1/3π(R² − R²/9 )(R+ R/3 )

= 32πR³/81

= 8/27 ( 4/3 πR³)

= 8/27 (volume of sphere)

To learn more about volume click here

brainly.com/question/1578538

#SPJ4

Answer: 8 = |-8| = True   |5| = 5  = True  -3 = |3|  =  False     -|18| = -18   =  False   2 = |2|    = True     |-1.5| = -1.5   = False

Step-by-step explanation: The bars mean that the number is always positive

Based on the dimensions of the shape, the area of the figure can be found to be 215 ft².

To find the area of the figure, you can divide the shape into two different shapes and then find the area of those shapes, and then sum them up to find the area of the entire figure.

As shown in the attached photo, you can divide the figure into two rectangles with the dimensions:

The areas are:

= 15 x 12

= 180 ft²

Second rectangle:

= 7 x 5

= 35ft²

The area of the figure is:

= 35 + 180

= 215 ft²

Find out more on area at https://brainly.com/question/11423300

#SPJ1

We cannot determine the expressions that can be used to find "m" from the given options as none of the options listed are in the format of an expression that could be used to solve for "m".

We would need additional information or context to determine what "m" represents and how it is related to the given options.

The null hypothesis for this problem is given as follows:

\(H_0: \mu = 445\)

The alternative hypothesis for this problem is given as follows:

\(H_1: \mu < 445\)

The claim for this problem is given as follows:

"It is believed that the machine is underfilling the bags".

At the null hypothesis we test if there is no evidence that the bags are being under filled, that is, no evidence that the mean is less than 445 grams, hence:

\(H_0: \mu = 445\)

At the alternative hypothesis, we test if there is enough evidence that the mean is less than 445 grams, hence:

\(H_1: \mu < 445\)

More can be learned about the test of an hypothesis at https://brainly.com/question/15980493

#SPJ4

The secοnd statement is wrοng, because the PQRS form is a kite. And the first statement is true because cοnnected it Will be quadrilateral

The statement  the diagonals οf quadrilateral qrst are perpendicular is cοrrect and qrst must be either a square or a rhοmbus is wrong.

Word problems are οften described verbally as instances where a problem exists and one or more questions are pοsed, the solutions to which can be fοund by applying mathematical operations to the numerical information provided in the prοblem statement. Determining whether twο provided statements are equal with respect to a collection of rewritings is known as a word prοblem in computational mathematics.

Here the given qrst quadrilateral is Kite.

We knοw that diagonal of kite bisect each other at 90°.

Then. the qrst quadrilateral diagοnals are perpendicular.

Then secοnd statement is wrοng , because it qrst is kite.

Hence the first statement is cοrrect.

To learn more abοut word problem refer the below link

https://brainly.com/question/21405634

#SPJ1

Answer:

Step-by-step explanation:

Let the first angle = x

Let the second angle = y

They are complementary so

x + y = 90

x = y + 30

Substitute for x

y + 30 + y = 90

2y + 30 = 90             Subtract 30 from each side

2y = 90 - 30

2y = 60                     Divide by 2

2y/2 = 60/2          

y = 30

x = y + 30

x = 30 + 30

x = 60

The independent variable in this study is the students' self-esteem, which is what is being measured to determine how it is affected.

The independent variables in this study are the methods of course assessment used in each of the three undergraduate psychology courses. In this case, the independent variable is a between-subjects variable, meaning that each student in the study is only exposed to one level of the independent variable (i.e., one type of course assessment). The three levels of the independent variable are:

Quizzes (Class #1)

Thought papers (Class #2)

A single comprehensive final exam (Class #3)

These are the different assessment methods that the researchers are manipulating to see if they have an effect on the students' self-esteem, making it the independent variable.

To learn more about independent variables please click on below link      

https://brainly.com/question/29430246

#SPJ4

Answer:

Point X is 10 units above Point Y or (X,Y-10)=Y

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

Point X is 10 units above Point Y or (X,Y-10)=Y

Answer:

Step-by-step explanation:

C

Answer:

x=68

Step-by-step explanation:

...gyrhjjigcrfefec

Answer:

(2, 3)

Step-by-step explanation:

the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)