84 is 99 fewer than a number c

Answer:

x=1

Step-by-step explanation:

3x=4-1

3x=3

x=1

A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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Answer:

She had 7 pizzas.

Step-by-step explanation:

.....

It is a function that describes a certain aspect of a sequence based on the relationship between the elements that make up that sequence.

The explicit form of the recurrence relation is:T(n)

= T(n-1) + log2 n; T(0)

= 0Let us find a formula to compute T(n) for any n value. In general, the recurrence relation can be written as: \[T(n)

=T(n-1)+\log _{2} n ; \quad T(0)

=0\]We are given that \[n ! \approx \sqrt{2 \pi n}\left(\frac{n}{e}\right)^{n}\]Let us determine the value of T(n) in terms of the formula of n! by using mathematical induction:Base case: For n=0, T(0) = 0 which satisfies the initial condition.Inductive step:Assume that T(k) has the formula given by the recurrence

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Answer:

The gum returns to the wall each time the graph shows a minimum value of 6 (the height of the wall).

Count the number of minimums that occur between x = 0 ft and x = 60 (but omit the first time when x = 0).

The gum returns to the wall 9 times while traveling a distance of 60 feet.

edge2022 answer

hope it helps :)

mark brainliest!!

The graph is a periodic function that oscillates between 5 and 7.

The function completes about 9.55 cycles (or oscillations) as it travels a distance of 60 feet.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The graph is a periodic function that oscillates between 5 and 7.

Now,

To find the number of times the graph returns to the wall (i.e. the x-axis) as it travels a distance of 60 feet, you need to find the period of the function.

The period of the cosine function is 2π, which means the function completes one full cycle (i.e. one oscillation) every 2π units of x.

In the equation,

y = -cos(x) + 7, the coefficient of x is 1, which means that the function has not been horizontally compressed or stretched.

So the period of the function is still 2π.

To find the number of cycles completed in 60 feet, you need to find how many periods of the function fit in a distance of 60 feet.

And,

If you know the wavelength of the function, you can use that to find the number of cycles.

So,

The wavelength is the distance between two consecutive points on the graph that have the same value, such as two consecutive peaks or troughs.

To find the wavelength of y = -cos(x) + 7, you can use the fact that the amplitude (the distance between the peak and the trough) is 1.

So the distance between two consecutive peaks (or troughs) is 2.

The wavelength of the function is 2π, which means that the function completes one cycle every 2π units of x.

To find the number of cycles completed in 60 feet, you need to convert 60 feet to units of x.

Since the wavelength is 2π, one cycle corresponds to 2π units of x.

cycles = 60 / (2π) = 9.55

Thus,

The function completes about 9.55 cycles (or oscillations) as it travels a distance of 60 feet.

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The newspaper's assertion is unjustified. It can be shown that the interval does not contain 0.5 based on the 99% confidence interval of (0.322, 0.511). (which is half).

This indicates that the population parameter (mean, percentage, and standard deviation) is between a and b with x% confidence.

This indicates that at least half of students prefer using a computer to take their notes. Since the interval's lower limit (0.322) is higher than 0.5, there is a 99% likelihood that the actual percentage of students who prefer taking notes on computers is higher than 0.5.

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Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

\(a_{n}\) = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

786cm

Step-by-step explanation:

this should be right... hopefully

The label for the soup can would need to be approximately 0.17 square meters in size to cover its dimensions of 9.5 cm height and 0.07 m width.

To calculate the size of the label needed for the soup can, we need to determine its surface area. The surface area of a cylinder can be found by calculating the sum of the areas of its curved surface and its two circular bases.

The curved surface area of the soup can is given by the formula:

Curved Surface Area = 2 * π * radius * height

The radius of the can is half of its width, so the radius would be 0.07 m / 2 = 0.035 m.

The curved surface area of the can would be:

Curved Surface Area = 2 * π * 0.035 m * 0.095 m = 0.021 m²

The label needs to cover the entire surface area of the can, including the curved surface and the two circular bases. Since the can has two circular bases, the total surface area would be twice the curved surface area.

Total Surface Area = 2 * Curved Surface Area = 2 * 0.021 m² = 0.042 m²

Therefore, the label for the soup can would need to be approximately 0.042 square meters or 0.17 square meters (rounded to two decimal places) in size to cover its dimensions of 9.5 cm height and 0.07 m width.

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Answer: question#7 is 7/12

question#8 is 1  3/8

question#5 is 1/2

question#6 is 12

question#9 is 1  1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Question #5: Option A, \(\frac{1}{2}\)

Question #6: Option A, 12

Question #7: Option A, \(\frac{7}{12}\)

Question #8: Option D, \(1\frac{3}{8}\)

Question #9: Option D, \(1\frac{1}{6}\)

Question #10: \(\frac{31}{40}\)

Question #11: \(\frac{3}{4}\)

Pls mark brainliest

The answer is : A = 162 - 81√2, which represents the surface area of the part of the sphere above the cone.

To find the surface area of the part of the sphere x^2 + y^2 + z^2 = 81 that lies above the cone z = √(x^2 + y^2), we can use the parametric equations for the sphere in spherical coordinates. Let r = 9 be the radius of the sphere. The parametric equations for the sphere are: x = r * sin(u) * cos(v) ; y = r * sin(u) * sin(v); z = r * cos(u). We are given the limits of u and v as 0 ≤ u ≤ 2 and 0 ≤ v ≤ π/4. To find the surface area, we calculate the partial derivatives of the parametric equations: ∂x/∂u = 9 * cos(u) * cos(v)  = -9 * sin(u) * sin(v)  = 9 * cos(u) * sin(v) = 9 * sin(u) * cos(v) = -9 * sin(u)  = 0.

Using the formula for the surface area in spherical coordinates, A = ∫∫r^2 sin(u) dudv, we can evaluate the integral over the given limits. Integrating A with respect to u and v over the given limits yields: A = ∫[0,π/4]∫[0,2](81 * sin^2(u) * cos^2(v) + 81 * sin^2(u) * sin^2(v) + 81 * cos^2(u)) dudv. Evaluating this integral gives A = 162 - 81√2, which represents the surface area of the part of the sphere above the cone.

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Answer:

392 in^2

Step-by-step explanation:

This is complicated, but not impossible!

First, remove the triangular shape at the bottom, secondly solve for the area of the square,

16.00 inches times 19.00 inches is 304.00 inches.

Secondly, subtract 19 from 30, leaving you with 11.

Multiply 11 by 16 = 176 then divide by 2, which is 88.

Add 88 to 304 which is 392.

Disclaimer - I cannot be entirely sure about my calculations.

Answer:

a number times by tht exact number

Answer:

Exponents! You raise a number to the 2nd power like in this number.

6^2

Remember not to make the mistake of calculating 6 x 2. Remember that the number is being repeated to multiply twice. 6 x 6 = 36.

The principal amount was invested for 8 Years.

In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.

To calculate the Interest, we know that the formula for Simple Interest is:

=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:

=> S.I. = (P*R*T)/100

=> 175.84 = (314*7*T)/100

=> T = 17584/2198

=> T = 8

Hence, we get Invested Time for 8 years.

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The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Answer:

i dont know

Step-by-step explanation:

thanks for points tho

Anna can only fill the measuring cup a whole number of times, she will need to fill it 6 times to measure 78 cups of turnips.

What is division in mathematics?

Division is the process of splitting a number or an amount into equal parts.

To find the number of times Anna will need to fill the measuring cup, divide the number of cups of turnips by the size of the measuring cup:

78 cups/14 cups:

                            = 78/14

                              =5.57 measures

Hence, Anna can only fill the measuring cup a whole number of times, she will need to fill it 6 times to measure 78 cups of turnips.

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Answer:

1/125, 1/625, 1/3125

Step-by-step explanation:

a8=25*(1/5)^7=25/78125=1/3125

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

x = (65)

Answer:

x = 65.

Step-by-step explanation:

= 20 + 55 + 40

= 115

= 180 - 115 = 65.

Answer:

y=-2x-1

Step-by-step explanation:

y2-y1/x2-x1

3+3/1-4

slope= -2

y − y1 = m(x − x1)

y-3=-2(x-1)

y-3=-2x+2

y=-2x-1

Answer: f(x)= (3/4)^x/2 —> Decay

f(x)=(4/3)^x —> Growth

f(x)=(5/6)^3x —> Decay

f(x)=(8/3)^x/3 —> Growth

f(x)=(3/2)^2x —> Growth

Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.

Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.

Asymptote is the “line” that almost touches the x axis.

The exponential decay and growth equations are

a) f ( x ) = ( 3/4 )^x/2 is a decay equation

b) f ( x ) = ( 4/3 )ˣ is a growth equation

c) f ( x ) = ( 5/6 )³ˣ is a decay equation

d) f ( x ) = ( 8/3 )^x/3 is a growth equation

e) f ( x ) = ( 3/2 )²ˣ is a growth equation

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the equation be represented as A

Now , the value of A is

when r is the growth rate when r>0 or decay rate when r<0, in percent

So , when r > 0 ( it is growth ) and r < 0 ( it is decay )

a) f ( x ) = ( 3/4 )^x/2 is a decay equation

b) f ( x ) = ( 4/3 )ˣ is a growth equation

c) f ( x ) = ( 5/6 )³ˣ is a decay equation

d) f ( x ) = ( 8/3 )^x/3 is a growth equation

e) f ( x ) = ( 3/2 )²ˣ is a growth equation

Hence , the exponential equation is solved

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The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius. In this case, with a radius of 6 units, substituting the value into the formula gives V = (4/3)π(6^3) = 288π cubic units. Therefore, the volume of the sphere is 288π cubic units.

To find the volume of a sphere, we can use the formula V = (4/3)πr^3, where V represents the volume and r represents the radius of the sphere. In this case, the given radius is 6 units. Plugging this value into the formula, we have V = (4/3)π(6^3).

To calculate the volume, we start by evaluating the expression inside the parentheses. 6^3 equals 6 multiplied by itself twice, which is equal to 216. Next, we multiply 216 by the fraction (4/3) and π. Multiplying 216 by (4/3) gives us 288.

Now, we have the expression V = 288π. This represents the volume of the sphere in terms of π. Since the question asks for the answer in terms of π, we can leave it as 288π cubic units.

Therefore, the volume of the sphere with a radius of 6 units is 288π cubic units.

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The correct function that describes the student's distance from the finish line after x minutes is f(x) = -1/4x + 10.

The correct function that describes the student's distance from the finish line after x minutes can be determined by analyzing the given information. We know that the student runs 1 kilometer every 4 minutes, and the race is a total of 10 kilometers.

Let's examine the options:

1. f(x) = 1/4x + 10

This function represents the distance covered by the student in x minutes, but it does not account for the fact that the total race distance is 10 kilometers.

2. f(x) = -1/10x + 4

This function has a negative coefficient for x, which would indicate that the student is getting farther away from the finish line as time progresses, which is not the case.

3. f(x) = 1/10 + 4

This function is a constant and does not change with time, so it cannot describe the student's distance from the finish line.

4. f(x) = -1/4x + 10

This function correctly represents the student's distance from the finish line. The negative coefficient for x indicates that the distance decreases as time progresses, and the constant term of 10 represents the initial distance from the finish line, which is 10 kilometers.

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Answer: The answer is 4/5

Step-by-step explanation:

Add the numerators and keep the denominators the same:

2/5 + 2/5 = 4/5

Answer:

D) 4/5

Step-by-step explanation:

When adding fractions together all you have to do is add the numerators together, you leave the denominators alone. So 2+2=4 and then you leave the 5's alone. So it would then be 4/5.

Hope this helps!!!

You will get a website traffic of worth 0.003 cents a day.

Proportion is defined as the setting of two or more ratios equal to each other. Mathematically if a : b is proportional to p : q, then,

a/b = p/q or a q = b p.

We can find this by using proportional concept.

Given that,

Spending on website traffic for 20 days = 0.06 cents

Spending for 1 day = 0.06 / 20 = 0.003

You will get a traffic worth 0.003 in a day.

Hence, you will get a traffic worth 0.003 cents in a day.

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Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3

Answer:

31.25 kg of flour is needed to make 50 cakes

Step-by-step explanation:

A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?

We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.

Flour needed to make 4 cakes = 2.5 kg

Flour needed to make 1 cake = \(\frac{2.5}{4}\) kg

Flour needed to make 50 cakes = \(\frac{2.5}{4}\times 50\)

                                                      = 31.25 kg

So, 31.25 kg of flour is needed to make 50 cakes