A box of peaches is shared among 5 people. Each person will get 3 more peaches than they would get if the peaches were shared among 8 people. How many peaches are there in the box?​

Using the formula of volume of a cone, the diameter of the cone is 5cm

The volume of a cone is a measure of the amount of space inside the cone. It can be calculated using the formula:

Volume = (1/3) * π * r^2 * h

Where:

The formula for the volume of a cone is a product of 1/3 and the product of π, radius square and height. The unit of measurement of the volume will be the cube of the unit of measurement of the radius and height.

It's important to note that a cone has a circular base, the radius of which is the distance from the center of the base to its edge. The height of the cone is the distance from the tip of the cone to the center of the base.

In this problem, we can simply find the diameter by calculating the radius.

V = 1/3(πr²h)

Substituting the values into the formula

42.5 = 1/3(3.14 * r² * 6.5)

42.5 * 3 = 20.41 r²

127.5 = 20.41r²

r² = 6.2469

r = 2.5

But the radius of a circular body is always half the length of it's diameter

d = 2 * r

d = 2 * 2.5

d = 5

The diameter is 5cm

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In the triangle the line segment joining the midpoints 'S' and 'T' of the sides PQ and PR implies that ST || QR.

As given in the question,

Diagram is attached.

As per the attached diagram  we have,

Given : In triangle PQR with midpoints S and T of sides PQ and PR respectively.

To prove : ST is parallel to QR.

Proof : First construct a line through R parallel to PQ such that it meet the extended line of ST at point 'U'

In triangle PST and triangle RTU,

PQ|| RU and SU is the transversal

∠PST ≅ ∠RUT ( alternate angles )

∠PTS ≅ ∠RTU ( vertically opposite angles)

PT ≅TR ( 'T' is the midpoint of PR )

By AAS we have

ΔPST ≅ΔRTU

By congruent part of congruent triangle we have,

PS ≅ RU

⇒ SQ ≅ RU

In quadrilateral QSUR,

SQ ≅ RU

SQ || RU ( as PQ || RU by construction )

Quadrilateral with one pair of opposite side congruent and parallel implies it is a parallelogram.

Quadrilateral QSUR is a parallelogram.

⇒ SU || QR

S - T - U

⇒ ST is parallel to QR

Therefore, in the given triangle line segment formed by joining the midpoints of the other two sides is parallel to third side.

The above question is incomplete , the complete question is :

Prove theorem 8.9 : The line segment joining the midpoints of the two sides of the given triangle is parallel to the third side .

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With a mean of 1.5 and a standard deviation of 0.35. if 5 rats are selected, the probability that their total completion time in the maze for all rats is between 6 and 8 minutes is 0.4455.

First, we need to convert the given mean and standard deviation from "one rat" to "five rats". The mean for five rats would be 5 x 1.5 = 7.5, and the standard deviation for five rats would be sqrt(5) x 0.35 = 0.87.  Next, we need to convert the given time range of 6-8 minutes to the standard normal distribution, using the z-score formula: z = (x - mean) / standard deviation.  

For 6 minutes, z = (6 - 7.5) / 0.87 = -1.72 ,For 8 minutes, z = (8 - 7.5) / 0.87 = 0.58  Finally, we can use a standard normal distribution table to find the probability that the rats will complete the maze in between 6 and 8 minutes. This is the area under the standard normal curve between -1.72 and 0.58. The probability is 0.4455.

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Answer: 45

Step-by-step explanation:

Answer:

---------------------------------------

Property of a parallelogram:

According to the property we have:

So the time taken to fill the pool by the slower pipe is 30 hours .

As mentioned about the time in the question stated below.

Let the slower pipe's  time be x and the quicker pipe's time be x/2.

By slower pipe in an hour = 1/x, quicker pipe in an hour = 2/x, and by both = 1/10.

2/x+1/x = 1/10

we have to take reciprocal of the time taken by each pipes.

(1+2)/x = 1/10

=> 3/x = 10

=> x= 30

The slower pipe requires 30 hours of times to completely fill the pipe.

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Complete question:

A single pipe can fill a pool twice as quickly as a second one. The pool will be filled in ten hours once both pipes are opened. If only the slower pipe is utilized, how long would it take to fill the pool?

Answer: 14.4

Step-by-step explanation:

Pythagorean theorem states that a² + b² = c²

Using this,

8² + 12² = c²

64 + 144 = c²

208 = c²

c = 14.4 when rounded to the nearest tenth

6

Step-by-step explanation:

um7

It will take the rescue craft 0.44 hours or 26.4 minutes to reach the sailboat.

The time required for the rescue craft to reach the sailboat can be calculated by using the formula for relative velocity:

Relative Velocity = Velocity of the Rescue Craft - Velocity of the Sailboat

= 29 mph - 4 mph = 25 mph

Therefore, the time required for the rescue craft to reach the sailboat is given by:

time= Distance/Relative Velocity

= 11 miles/25 mph

= 0.44 hours

Therefore, it will take the rescue craft 0.44 hours or 26.4 minutes to reach the sailboat.

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Answer:

Select all the examples of the exponential function

a) y=3x-2

b) y=3^x

c) y=(1/2)^3x

d) y=3x^2

E) y=(1/2)^x

Answer:

Step-by-step explanation:

To make a boxplot, we need to know the minimum, Q1, median, Q3, and maximum.

The minimum is the smallest value: 15

The maximum is the largest value: 34

The median is found by arranging the numbers from smallest to largest and finding the middle point:

15, 20, 25, 25, 27, 28, 30, 34; there is not an exact middle here so we take the two middlemost points and divide by 2: 25+27/2 = 52/2 = 26

Q1 takes the numbers to the left of the median and finds the middle of those points. 15, 20, 25, 25. Again, there is no exact middle, so we use the same method as above. 20+25/2 = 22.5

Q1 takes the numbers to the right of the median and finds the middle of those points. 27, 28, 30, 34. Again, there is no exact middle, so we use the same method as above. 28+30/2 =  29

Now, use these points to construct!

Answer:

BOX 2

Step-by-step explanation:

look at the photo

Answer:

FIRST ONE IS 7

Step-by-step explanation:

SECOUND ONE IS 12THIRD ONME IS 2

Answer:

25,295.91

Step-by-step explanation:

304,770

1%=3047.7

0.1%=304.77

8%=24,381.6

0.3%=914.31

24,381.6+914.31=25,295.91

female viewers =25,295.91

Answer:

answer is b second which is -6

A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.

Trigonometric ratios are based on the side ratio of a right-angled triangle and consist of the values of all trigonometric functions. The ratios of the sides to any acute angle in a right-angled triangle are the trigonometric ratios of that angle. You can use trigonometric ratios to determine the lengths of one (or both) of the acute angles of a right triangle if you know the lengths of its two sides.

given

A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.

The midline is the line y = 0 for y = sin (the horizontal axis). The difference between the highest and smallest values of a function is half its amplitude.

The amplitude of the y = sin function is 1.

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Answer:350

Step-by-step explanation: 35x10 =350

Answer: 25°F is approximately $375.

Step-by-step explanation:

The scatter plot shows a positive correlation between the average monthly temperature (x) and the family's monthly heating cost (y). The line of best fit appears to be a linear equation, and it can be approximated by the equation y = mx + b, where m is the slope and b is the y-intercept.

(a) One possible equation of the line of best fit for the data is y = 15x + 300. This equation is only an approximation as it is hard to determine the exact line of best fit without more data points.

(b) Using the equation y = 15x + 300, the predicted monthly heating cost for a month with an average temperature of 25°F can be found by plugging in x = 25 into the equation.

y = 15(25) + 300 = 375

Therefore, the predicted monthly heating cost for a month with an average temperature of 25°F is approximately $375.

On solving the provided question, we can say that the linear equation, will be  10.50x + 12.50y = 4 => x = 23.1 => y = 3.21

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

a large pizza costs =  $10.50 with no toppings other than cheese

Jason wants 4 toppings on his pizza for a cost of =  $12.10

the linear equation, will be

10.50x + 12.50y = 4

x = 23.1

y == 3.21

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The formula for the border's total area is [tex]4x^2+100x.[/tex]

A rhombus is indeed a four-sided form with equal-length sides (marked "s"). In addition, opposing sides and angles are parallel and equal. The diagonals' (dashed lines') right angle intersection in the centre is another intriguing feature.

An item with a cuboid form is a box. The angles on its six flat sides are all right angles. And rectangles make up each of its faces. Because it possesses the same bridge over a length, it is also a prism.

The garden's overall size, including the pine bark border, is provided by:

[tex]A=(30+2x)\ast(20+2x)=600+60x+40x+4x^2[/tex]

Without the boundary, the garden's total area is:

[tex]A_G=30\ast20=600[/tex]

The border's area may be calculated by deducting the entire area from the garden's area:

[tex]\begin{matrix}&A_B=A-A_G\\&A_B=600+100x+4x^2-600\\&A_B=4x^2+100x\\\end{matrix}[/tex]

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The value of fx(1, 0) equal to -(1/√(3)) and  fy(1, 0) is equal to -20/√3.

To find fx(1, 0) and fy(1, 0), we need to take the partial derivative of the given equation with respect to x and y respectively, and then evaluate the derivatives at the point (1,0).

First, we have f(x, y) = √(4 - x² - 4y²)

To find fx(1, 0), we'll take the partial derivative of f(x, y) with respect to x:

fx(x, y) = ∂f/∂x = -(x/√(4 - x² - 4y²))

Therefore, fx(1, 0) = -(1/√(4 - 1² - 4×0²)) = -(1/√(3))

fx(1, 0) = -(1/√(3))

To find fy(1,0), we'll take the partial derivative of f(x, y) with respect to y:

fy(x, y) = ∂f/∂y

= -2y/√(4 - x² - 4y²)

Therefore, fy(1, 0) = -20/√(4 - 1² - 4×0²) = -20/ √3

These numbers, fx(1, 0) and fy(1, 0), can be interpreted as slopes of the equation. The slope in this case represents the rate of change of the function in the x and y directions. A negative value for fx(1,0) means that as x increases by a small amount, the function value decreases by a small amount, while a value of 0 for fy(1,0) means that as y increases by a small amount, the function value does not change.

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Answer:

0.3, 0.323, 0.333

Step-by-step explanation:

Answer:

0.3,0.323,0.333

Hope it helps!

Answer:

Step-by-step explanation:

To get the answer, you have to do 3·4·3·2=how many are possible.

So the answer is D, 72 possible out comes.

There are 72 ways possible reading assignments.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

Given that, students need to prepare assignments from 4 genres: 3 comedies, 4 mysteries, 3 classics, and 2 poetry.

So, the total possible outcomes = 3 × 4 × 3 × 2 = 72

Hence, there are 72 ways possible reading assignments.

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The value(s) of x will make x² = 16 true are 4 and -4.

B. is the answer

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included

The values of x that will make x² = 16 true are -4 and 4.

x² = 16 can be written as follows:

x² = 16

x = ±√16

x = ± 4

x = 4 or -4

This because the square of 4 is 16 i.e. 4² = 16. Likewise the square of -4 is 16 i.e. (-4)².

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The relationship between the expressions is that these are inverses.

Here we want to find the relationship between:

logₐ(n) = logₙ(a)

(I changed the variable b for n)

Remember the definition of a logarithm with a base, we can rewrite it as:

logₐ(n) = ln(n)/ln(a)

If we write both of the expressions in that form, we will get:

logₐ(n) = logₙ(a)

ln(n)/ln(a) = ln(a)/ln(n)

So, as you can see, the two expressions are inverses, that is the relation.

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Answer: The area of the trapezoid can be found using the formula:

Area = (a + b)h/2

where a and b are the lengths of the parallel sides and h is the height (perpendicular distance between the parallel sides).

In this case, the parallel sides are 13ft and 15ft, and the height is 5ft.

Therefore, the area of the trapezoid is:

(13 + 15) * 5 / 2 = (28) * 5 / 2 = 140 / 2 = 70 ft^2

Step-by-step explanation: The area of the trapezoid is calculated by taking the sum of the parallel sides, multiplying by the height and then dividing by 2. The parallel sides are given as 13ft and 15ft, and the height is given as 5ft.

By substituting the given values in the formula we get (13+15)5/2 = 285/2 = 140/2 = 70 ft^2.

So, the area of the trapezoid is 70 ft^2.

Answer:

Step-by-step explanation:

It would depend on the rate of the ferris wheel, so it is impossible to answer this question without knowing the wheel's speed.

1. The question is asking for an estimate of the time it would take for a person to get from the start of the ferris wheel to the point closest to the polar coordinate (6, 0).

2. To answer this question, we need to know the speed of the ferris wheel. Without this information, it is impossible to answer the question.

It would depend on the rate of the ferris wheel, so it is impossible to answer this question without knowing the wheel's speed.

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