In​ 1923, a certain country underwent one of the worst periods in history of​ hyperinflation, which is extraordinarily large inflation in prices. At the peak of the​ hyperinflation, prices rose ​23,000% per month. At this​ rate, by what percentage would prices have risen in 1​ year?

The solution is :

the center of the circle is (-10,8)

Third option is correct.

Here, we have,

The equation of the circle is  (x+10)^2 + (y-8)^2=17

This equation can be rewritten as

(x- (-10) )^2 + (y-8)^2=17

The standard form of the circle is given by

(x- h )^2 + (y-k)^2=r^2

, where (h,k) is the center of the circle.

On comparing the given equation of circle with the standard form

h = -10, k = 8

Hence, the center of the circle is (-10,8)

Third option is correct.

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Step-by-step explanation:

A cross-section is a washer with an inner radius of 8sin(x) - (-1) and an outer radius of 8cos(x) - -(1), so its area would be:

A(x) = π[(8cos(x) + 1)^2 − (8sin(x) + 1)^2]

= π[64cos^2(x) + 16cos(x) + 1 - 64sin^2(x) − 16sin(x) − 1]

= π[64cos(2x) + 16cos(x) - 16sin(x)]

=> V(x) = ∫[0,π/4] π[64cos(2x) + 16cos(x) - 16sin(x)] dx

= π[32sin(2x) + 16sin(x) + 16cos(x)] |[0,π/4]

= π[32sin(π/2) + 16√2/2 + 16√2/2 - 16]

= π(32 - 16 + 16√2) = π(16 + 16√2)

The volume of the region is π(16 + 16√2).

Answer:

5

Step-by-step explanation:

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

\(\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3\)

And thus, you're solution is 5 cm^3, or in other words option b!

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

\(\sqrt{3-2*\sqrt2}=\sqrt{(\sqrt2)^2-2\sqrt2*1+1^2}=\sqrt{(\sqrt2-1)^2}=\sqrt2-1\)

Answer:

-1,-16

Step-by-step explanation:

y=ax^2+box+c

Data:

Blue pain: B

White paint: W

Charlotte use 6.3pints:

3/5 of the total amount is blue paints:

6.3 as a fraction is:

As the amount of blue paints is 189/50 (3.78) Substract this amount from the total to find the pints of white paints:

In decimals:

In fractions:

While the new helmets decrease the probability of injury resulting from a scooter accident, but they also incentivize individuals to ride more recklessly, which could increase the number of scooter collisions and therefore injuries to renters.

The reason for the above statement is based on the concept of risk compensation. When the perceived risk of an activity is reduced, individuals may engage in more risky behavior. For example, if individuals believe that wearing a helmet makes them safer while riding a scooter, they may feel less concerned about the potential consequences of riding recklessly, leading to an increase in the number of accidents. On the other hand, the helmet does decrease the probability of injury in the event of a crash, but an increase in the number of crashes could lead to an overall increase in the number of injuries, offsetting the protective effect of the helmets. Therefore, the net impact of the new helmets on the number of scooter injuries is unclear, and further study is needed to determine their overall effect.

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The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

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Answer:

The area of the trapezoidal field is 7,725 square feet

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides, which are called the bases. The area of a trapezoid can be calculated using the formula A = h(1/2)(b₁ + b₂), where A is the area of the trapezoid, h is the height of the trapezoid, and b₁ and b₂ are the lengths of the two bases.

In this case, we are given that the height of the trapezoid is 75 ft, and the lengths of the two bases are 125 ft and 81 ft. To find the area of the trapezoid, we simply need to plug these values into the formula and simplify:

A = h(1/2)(b₁ + b₂)

A = 75(1/2)(125 + 81)

A = 75(103)

A = 7,725 square feet

Therefore, the area of the trapezoidal field is 7,725 square feet, and this represents the amount of grass that would cover the entire field if it were a perfect rectangle.

Answer:

Number of quarts can be made in 48 hours - 5,760

Number of quarts Maggie can make during her 8-hour shift - 960

hope it helps

Step-by-step explanation:

120x48 - 5,760

120x8- 960

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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Answer:

P = 37 units

Step-by-step explanation:

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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The solution to the given equation is x = ±7. The correct option is d. x = ±7

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

x = ±7

Hence, the solution to the given equation is x = ±7

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The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.

The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.

By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.

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The function that represents the difference, h(x) = f(x) – g(x), between the value of Aleka’s and Helene’s total savings after x years is C. h(x) = 1000(1.025)x – 200x.

It should be noted that Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account.

The function for Aleka will be:

= 2500 (1.025)^x

The function for Helene will be:

= 1500(1./25)^x + 200x

Therefore, the difference of the function will be 1000(1.025)x – 200x.

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation:

Answer:

MY OPINION IS (REALLLLLL)

Step-by-step explanation:

Answer:

A, E, C

Step-by-step explanation:

The statements are correct when comparing the experimental and theoretical probability that will be A, C, and E.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a spinner, there are 3 stars and 1 heart.

Then the theoretical probability of the star is given as,

⇒ 3 / 4

⇒ 0.75

Then the theoretical probability of the heart is given as,

⇒ 1/4

⇒ 0.25

Mary Jane spins the spinner 15 times. The arrow lands 6 times on a star and 9 times on the heart.

The experimental probability of the heart is given as,

⇒ 9 / 15

⇒ 0.60

The experimental probability of the star is given as,

⇒ 6 / 15

⇒ 0.40

The statements are correct when comparing the experimental and theoretical probability that will be A, C, and E.

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Due to the shortest studen has a height of 155cm and the tallest one has a height of 190cm. You consider these numbers as the limits of the interval for the height of the students of the ninth grade.

if x is the height of the students, it is necessary that x is lower or equal than 190cm, moreover, it is necessary that x is equal or greater than 155cm.

The previous situation can be written as the following inequalities:

x < 190

x > 155

however, the previous inequalities can be written as one double inequality:

155 < x < 190

Answer:

All the adults

Step-by-step explanation:

The question says that the researcher wants to estimate all adults that own a cell phone.

So the population of interest is all the adults.

The statistic is the proportion p^ of the random sample of 2000 adults;

P^ = 1650/2000

= 0.825

The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F  = (3/4)*(5/8) = (3*5)/(4*8) = 15/32