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Answer:

.000068 is greater than .0000678

Answer:

A. 60°

Step-by-step explanation:

∠BEC = 1/2 arc BC = 32°

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

arc CD = 2 x ∠CED = 2 x 30° = 60°

The measure of the arc CD of the circle is 60°

Given data:

The central angle is an angle with two arms and a vertex in the middle of a circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

And, Central Angle = 2 x Angle in other segment

So,

∠BEC = 1/2 arc BC = 32°

The measure of the angle ∠CED  is determined as:

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

So, the measure of the arc from the central angle is:

arc CD = 2 x ∠CED = 2 x 30° = 60°

Hence , the measure of arc CD = 60°

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The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

\( \sin( \alpha ) = \frac{8}{14} = \frac{4}{7} \\ \\ \alpha = 34.84 \: degee\)

Answer:

4x^5 – x^4

Step-by-step explanation:

i took it and was correct

Answer:

5/9

Step-by-step explanation:

brainliest when possible.

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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The equation of a plane passing through three points can be found using the point-normal form of the equation for a plane.

First, find two vectors that lie in the plane by subtracting one point from the other two points. Then, take the cross product of these two vectors to find the normal vector to the plane.

Using the normal vector and one of the points, the equation of the plane can be written as:

(ax - x1) + (by - y1) + (cz - z1) = 0

where a, b, and c are the components of the normal vector, and x1, y1, and z1 are the coordinates of the chosen point.

To find the specific values for a, b, c, and the chosen point, substitute the coordinates of the three given points into the equation. Then, solve the resulting system of equations for the variables.

Once the values for a, b, c, and the chosen point are determined, the equation of the plane passing through the three points can be written in point-normal form as described above.

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Answer:

-1

Step-by-step explanation:

my bad if i get it wrong

Answer:

-1 , 0

Step-by-step explanation:

I took the Quiz, and using desmos graphing calculator helps a lot.

9514 1404 393

Answer:

  x > 2

Step-by-step explanation:

The student reversed the inequality symbol when dividing by +3. The symbol should not have been reversed.

  3x > 6

  3x/3 > 6/3 . . . divide by 3

  x > 2 . . . . . . . . simplify

The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

Ryan grew \($\frac{1}{2}$\) feet in a year.

1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).

So, we can rewrite \($\frac{9}{12}$\) as:

\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)

Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.

Let's convert the mixed fractions to improper fractions for easier computation:

Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)

This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)

To determine the growth, we subtract last year's height from this year's height:

\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)

Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.

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The circular equation is x²+y²-4x-10y+13=0 and the standard equation is (x-2)²+(y-5)²=4².

The formula for a circle, where (h,k) is the center and r is the radius, is (x-h)²+(y-k)²=r². the circle with radius 1 and an origin-centered equation of the form x²+y²=1. the circle's equation, expressed as x²+y²+cx+dy+e=0. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

The equation of circle,

(x-h)²+(y-k)²=r²

Where (h,k) is the center and r is the radius.

center of circle=(2,5)

radius=4 units

(x-2)²+(y-5)²=4²

x²+y²-4x-10y+4+25=16

x²+y²-4x-10y+13=0

The standard equation is (x-2)²+(y-5)²=4² and equation of circle is x²+y²-4x-10y+13=0.

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Answer:

Step-by-step explanation:

You organize the number in numerical order 2,3,4,5,8. Then find the number in the middle of the 5 which is 4 and thats your answer

Answer:

1 4/5

Step-by-step explanation:

4/5 + 1 = 1 4/5

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π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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There are 68 integers with an odd number of positive integer divisors between 1000 and 9999, inclusive.

An integer is any number other than zero, positive numbers, or negative numbers. It is important to realise that an integer can never be a fraction, decimal, or percentage.

An integer has an odd number of positive integer divisors if and only if it is a perfect square. Therefore, we need to count the number of perfect squares between 1000 and 9999, inclusive.

The smallest perfect square greater than or equal to 1000 is 32² = 1024, and the largest perfect square less than or equal to 9999 is 99² = 9801.

So, the number of perfect squares between 1000 and 9999, inclusive, is:

floor(√(9999)) - ceil(√(1000)) + 1

= 99 - 32 + 1

= 68

Therefore, there are 68 integers between 1000 and 9999, inclusive, that have an odd number of positive integer divisors.

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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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Answer:

supplementary

btw momo in ur pfp is looking stunning :)

Answer:

a, c, and e

Step-by-step explanation:

quadrilateral= a four-sided figure

square= a plane figure with four equal straight sides and four right angles

parallelogram= a four-sided plane rectilinear figure with opposite sides parallel

rectangle= a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

rhombus =a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides

Answer:

A,B,D

Step-by-step explanation:

I had this question on a test and these were the correct answers. So this is guaranteed correct!

The duration of a certain task is known to be normally distributed with a mean of 7 days and a standard deviation of 3 days. a) The probability that the task can be completed in exactly 7 days is zero. b) The probability that the task can be completed in 7 days or less is 0.50 c) The probability that the task will be completed in more than 6 days is 0.5.

a. This is because the probability of a continuous distribution at a single point is always zero. That means P(X = 7) = 0.

b. The probability that the task can be completed in 7 days or less can be found by calculating the area under the normal curve up to 7 days. Using the standard normal distribution table, the area to the left of 7 (z-score = (7 - 7) / 3 = 0) is 0.50. Therefore, P(X ≤ 7) = 0.50.

c. The probability that the task will be completed in more than 6 days can be found by calculating the area under the normal curve to the right of 6 days. Using the standard normal distribution table, we can find that the area to the right of 6 (z-score = (6 - 7) / 3 = -0.33) is 0.6293. Therefore, P(X > 6) = 1 - P(X ≤ 6) = 1 - 0.50 = 0.5.

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Cost of a television Ms. Singh wants to buy = £840

Ms. Singh's weekly wage = £300

Money she saves each week :

= 40% of her weekly wage

\( =\tt 40\% \: of \: 300\)

\( = \tt \frac{40}{100} \times 300 \)

\( =\tt \frac{40 \times 300}{100} \)

\( =\tt \frac{12000}{100} \)

\(\color{plum} = \tt£120\)

Thus, Ms. Singh's weekly savings = £120

Number of weeks in which she will be able to buy a TV :

\( = \tt \frac{840}{120} \)

\(\color{plum} =\tt 7 \: weeks\)

Therefore, Ms. Singh will be able to buy a TV from her savings in 7 weeks.

Answer:

you take the graphs information and you  write it in an equation.

Step-by-step explanation:

you take the graphs information and you  write it in an equation.

In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

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Answer:

480

Step-by-step explanation:

25-13=12

12 x 80=960

960 divided by 2=480

The limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

When trying to use L'Hospital's Rule to find the limit lim(x→∞) x/√(x^2 + 3), it is important to note that L'Hospital's Rule can only be applied if the function is continuous and differentiable. In this case, the function is continuous and differentiable, but applying L'Hospital's Rule is not necessary as the limit can be evaluated using another method.
First, let's rewrite the given function by dividing both the numerator and the denominator by x:
lim(x→∞) (x/x) / (√(x^2 + 3)/x) = lim(x→∞) 1 / √(1 + 3/x^2)
As x approaches infinity, the term 3/x^2 approaches 0, so the limit becomes:
lim(x→∞) 1 / √(1 + 0) = 1 / √(1) = 1
Therefore, the limit lim(x→∞) x/√(x^2 + 3) is 1, and there is no need to apply L'Hospital's Rule in this case.

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The distance I would travel in one turn of the big wheel is  163.43 inches.

The distance I would travel in one turn is equal to the circumference of the wheel. The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

The circumference of a circle = πD

22/7 x 52 = 163.43 inches

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