I dont understand what to do here​

Step-by-step explanation:

Perimeter = Sum of all sides

\(\longrightarrow\) 11 + 5 + 10 + 2

\(\longrightarrow\) 16 + 12

\(\longrightarrow\) 28 cm

Area of Rectangule = Length × Breadth

\(\longrightarrow\) 2 × 5

\(\longrightarrow\) 10 in²

Volume of cube = (Side)³

\(\longrightarrow\) (1)³

\(\longrightarrow\) 1 ft³

Perimeter = Sum of sides

\(\longrightarrow\) 4 + 5 + 5

\(\longrightarrow\) 14 cm

Area of triangle = 1/2 × Height × Base

\(\longrightarrow\) 1/2 × 5 × 8

\(\longrightarrow\) 5 × 4

\(\longrightarrow\) 20 mm²

Answer:

A

Step-by-step explanation:

The picture displays an exponential function (a^x)

A is also an exponentional function

B is a rational function

C is an absolute value function

D is a linear function

Therefore, the answer is A

Answer:

A. f(x) = 2x - 3

Step-by-step explanation:

Option A is correct,  The slope is -1, and the y-intercept is (0,6)

A line's slope is defined as the ratio of the change in y coordinates to the change in x coordinates.

Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate.

Given coordinates (-2, 8) and (0, 6)

the slope is given by,

m = (y₂ - y₁)/(x₂ - x₁)

x₁ = -2, x₂ = 0

y₁ = 8, y₂ = 6

m = (6 - 8)/(0 - (-2))

m = 1

and the y-intercept is the point where x is 0,

the y-intercept is (0, 6)

Hence option A is correct.

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Answer:

Step-by-step explanation:

d

The most representative sample of the population would be a random sample of cereal pieces from the box. Therefore, option D is the correct answer.

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

Given that, a factory makes boxes of cereal. Each box contains cereal pieces shaped like hearts, stars and rings.

The most representative sample of the population would be a random sample of cereal pieces from the box. This means that the employee should select pieces from the box without looking at or attempting to select any particular shape. This ensures that the sample accurately reflects the distribution of cereal pieces in the box, and gives an accurate representation of the population.

Therefore, option D is the correct answer.

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Answer:

below

Step-by-step explanation:

Use right triangle Pythagorean theorem

L^2 = 8^2 + 4^2

L^2 = 80

L = sqrt (80)   units      <====exact

             approx is sqrt(80) =~8.94 units

Answer:

Step-by-step explanation:

Using the pythagorean theorem, we have :

8 squared + db squared = cb squared
2 squared + db squared = ab squared

=> 64 + db(squared) = cb(squared)
=> 4 + db (squared) = ab(squared)
minus those 2, we get : 60 = cb(squared) - ab(squared)

We have : CA = 8 + 2 = 10
cb squared + ab squared = 10 squared = 100 (pythagorean)

So, cb squared + ab squared = 100
cb squared - ab squared = 60

=> cb squared = (100+60)/2 = 80, ab squared = 20

2 squared + db squared = 20 squared

db squared = 400 - 4 = 396

db = sqrt(396) = 19.8997487421... (round to 19.9)

Hope this helps :)

Answer: Yes

Step-by-step explanation:

DEF's side lengths are multiples of ABC's side lengths

The correlation coefficient that indicates the strongest relationship between two variables is a. -1.0.

The correlation coefficient is a numerical measure that quantifies the relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, a correlation coefficient of -1.0 represents a perfect negative correlation, meaning that the two variables have a strong, linear relationship where as one variable increases, the other decreases in a perfectly predictable manner. This indicates a very strong and consistent inverse relationship between the variables.

In comparison, a correlation coefficient of 0.80 indicates a strong positive correlation, but it is not as strong as a perfect negative correlation of -1.0. A correlation coefficient of 0.1 suggests a weak positive correlation, while a correlation coefficient of -0.45 indicates a moderate negative correlation.

Therefore, out of the given options, the correlation coefficient of -1.0 represents the strongest relationship between two variables.

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The correlation coefficient of the least squares regression line is 0.9

To do this, we enter the data values in a graphing calculator, and we interpret the results:

Using a graphing calculator, we have the following calculation summary

The slope (b) is calculated using:

b = SP/SSX

This gives

b = 365.5/356.83

b  = 1.0

Hence, the slope is 1.0

The y-intercept (a) is calculated using:

a = MY - bMX

a = 20.5 - (1.02*13.83)

a = 6.3

Hence, the y-intercept is 6.3

In (a), we have:

R = 0.8728

Approximate

R = 0.9

This means that the correlation coefficient is 0.9

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To find the characteristic equations for the given differential equations, we'll start with each equation separately.

1. For the equation \(\(y'' - 9y' = 0\)\), we assume a solution of the form \(\(y = e^{rt}\)\) and substitute it into the equation:

\(\[y'' - 9y' = 0\]\)

\(\[(e^{rt})'' - 9(e^{rt})' = 0\]\\ \\ \\ \\\\\r^2e^{rt} - 9re^{rt} = 0\]\)

\(\[e^{rt}(r^2 - 9r) = 0\]\)

  Since \(\(e^{rt}\)\)is never zero, we can divide both sides of the equation by \\(\(e^{rt}\):\)

\(\[r^2 - 9r = 0\]\)

  Now, we factor out \(\(r\)\) from the equation:

\(\[r(r - 9) = 0\]\)

  This gives us two possible solutions for \(r\):

\(\(r_1 = 0\) and \(r_2 = 9\)\)

  Therefore, the characteristic equation for \(\(y'' - 9y' = 0\)\) is:

\(\[(r - 0)(r - 9) = 0\]\)

\(\[r(r - 9) = 0\]\)

2. For the equation \(\(t^2y'' + 16y = 0\)\), we assume a solution of the form \(\(y = t^r\)\) and substitute it into the equation:

\(\[t^2y'' + 16y = 0\]\)

\(\[t^2(t^r)'' + 16(t^r) = 0\]\)

\(\[t^2(r(r-1)t^{r-2}) + 16t^r = 0\]\)

  Simplifying the equation, we get:

\(\[r(r-1)t^r + 16t^r = 0\]\)

  Since \(\(t^r\)\) is never zero, we can divide both sides of the equation by \\(\(t^r\):\)

 \(\[r(r-1) + 16 = 0\]\)

  This gives us a quadratic equation for \(r\):

\(\[r^2 - r + 16 = 0\]\)

\(\[(r(r-1) + 16)t^r = 0\]\)

  The solutions for \(r\) can be found using the quadratic formula:

\(\[r = \frac{-(-1) \pm \sqrt{(-1)^2 - 4(1)(16)}}{2(1)}\] \\ \\ \\\\\r = \frac{1 \pm \sqrt{1 - 64}}{2}\]\)

\(\[r = \frac{1 \pm \sqrt{-63}}{2}\] \\ \\\\\r = \frac{1 \pm i\sqrt{63}}{2}\]\)

  Therefore, the characteristic equation for \(\(t^2y'' + 16y = 0\)\) is:

\(\[(r - \frac{1 + i\sqrt{63}}{2})(r - \frac{1 - i\sqrt{63}}{2}) = 0\]\)

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Answer:

depends on the value of N.

Step-by-step explanation:

There are an infinite number of possibilities for the value on N. In order if Find N you need to equal the equation to a value then it will be easier to solve.

Answer:

-20n

Step-by-step explanation:

All we have to do is multiply if Im reading it right its -5n times 4 so that equals -20n

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in a class of 12 boys and 9 girls, the teacher selects three students at random to write problems on the board then the probability that all the students selected are boys is 0.165

given that a class consists of 12 boys and 9 girls. The teacher picks three students to present their work to the rest of the class  and says that the three students are being selected at random

Here selecting any 3 students from the group of total 21 students is combination because order does not matter.

Total no of ways of selecting any 3 from total 21 = 21C3 = 1330

No of ways of selecting only 3 boys = No of ways of selecting random 3 boys from total 12 boys

= 12C3 =220

the probability be that all three students

selected are boys=220/1330 = 0.165

Hence , the probability that all the students selected are boys is 0.165

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Answer:

Mika read about 67 pages per hour.

Step-by-step explanation:

405 pages divided by 6 hours equals 67.5 pages. You can't have 67.5 pages (unless you read half a page) so you round down.

The monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

To calculate the monthly mortgage payment, we can use the formula for calculating the fixed monthly payment for a fully amortizing loan. The formula is: M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly mortgage payment

P = Principal balance

r = Monthly interest rate (annual interest rate divided by 12 and converted to a decimal)

n = Total number of monthly payments (loan term multiplied by 12)

Plugging in the given values into the formula:

P = $100,000

r = 0.05/12 (5% annual interest rate divided by 12 months)

n = 30 years * 12 (loan term converted to months)

M = 100,000 * (0.004166667 * (1 + 0.004166667)^(3012)) / ((1 + 0.004166667)^(3012) - 1)

M ≈ $536.82

Therefore, the monthly mortgage payment for a $100,000 loan with a 5% annual interest rate and a 30-year fully amortizing term is approximately $536.82.

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Answer: 56.6

Step-by-step explanation:

You find the volume by V=1/3hπr² , it becomes 56.55 . you round that to the nearest ten then it leads you to 56.6

Answer:

the number is 9

Step-by-step explanation:

x+6=13

x=13-6

=9

Answer:

x = 7

Step-by-step explanation:

x + 6 = 13

x + 6 - 6 = 13 - 6

x = 7

The line integral becomes:

∫∂M w ⋅ dr = ∫(θ=0)(2π) [z(cosθ)d(cosθ) + (x + y + z)d(3) - x d(sinθ)]

A statement regarding the integration of differential forms on manifolds, known as Stokes Theorem (also known as Generalised Stoke's Theorem), generalises and simplifies a number of vector calculus theorems. This theorem states that a line integral and a vector field's surface integral are connected.

To verify the generalized Stokes's theorem for the given surface M and vector field w, we need to evaluate both the surface integral of the curl of w over M and the line integral of w around the boundary curve of M. If these two values are equal, the theorem is verified.

First, let's calculate the curl of the vector field w:

curl(w) = (∂/∂x, ∂/∂y, ∂/∂z) x (z, x + y + z, -x)

       = (1, -1, 1)

Next, we evaluate the surface integral of the curl of w over M. The surface M is the portion of the cylinder x² + z² = 1 where y < 3. Since M is a cylinder, we can use cylindrical coordinates (ρ, θ, z) to parameterize the surface.

The parameterization can be defined as:

r(ρ, θ) = (ρcosθ, ρsinθ, z), where 0 ≤ ρ ≤ 1, 0 ≤ θ ≤ 2π, and -∞ < z < 3.

To calculate the surface integral, we need to compute the dot product between the curl of w and the unit normal vector of M at each point on the surface, and then integrate over the parameter domain.

N = (x, 0, z)/√(x² + z²) = (ρcosθ, 0, ρsinθ)/ρ = (cosθ, 0, sinθ)

The surface integral becomes:

∬_M (curl(w) ⋅ N) dS = ∬_M (1cosθ - 1⋅0 + 1sinθ) ρ dρ dθ

Integrating over the parameter domain, we have:

∬_M (curl(w) ⋅ N) dS = ∫_(θ=0)(2π) ∫_(ρ=0)^(1) (cosθ - sinθ) ρ dρ dθ

Evaluating this double integral will yield the surface integral of the curl of w over M.

Next, we need to calculate the line integral of w around the boundary curve of M. The boundary curve of M is the intersection of the cylinder x² + z² = 1 and the plane y = 3. This is a circle of radius 1 in the xz-plane centered at the origin.

To parameterize the boundary curve, we can use polar coordinates θ. Let's denote the parameterization as γ(θ) = (cosθ, 3, sinθ), where 0 ≤ θ ≤ 2π.

The line integral becomes:

∫∂M w ⋅ dr = ∫_(θ=0)(2π) [z(cosθ)d(cosθ) + (x + y + z)d(3) - x d(sinθ)]

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Answer:

y = 55

Step-by-step explanation:

Since the vertical lines are parallel we can conlcude that angle y and angle with a measure of 55 are alternate and has same measurement so angle y = 55 degrees

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

The probability that both marbles drawn will be green is 16.4%.

The probability of drawing a green marble on the first draw is 8/19.

Since there are no replacements, the probability of drawing another green marble on the second draw is 7/18 (since there are now only 18 marbles left in the bag, including 7 green marbles).

Therefore, the probability of drawing two green marbles in a row is:

(8/19) × (7/18)

= 56/342

To convert this to a percentage, we can divide 56 by 342 and multiply by 100:

(56/342) × 100 = 16.37%

Therefore, the probability that both marbles drawn will be green is 16.4%.

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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He will receive $10 when he exchanges the 100 pesos back to American dollars.

7a. The ratio of American dollars to Mexican Pesos is given as; American dollars:

Mexican Pesos = 270:3000 or 270/3000:7

b. Let the rate of exchange be $1 = 10 Mexican Pesos

Levant traded 270 American dollars for 3,000 Mexican pesos.

Therefore, the exchange rate he got was; Exchange rate = 3000/270 = 11.

11So he got 11.11 Mexican Pesos for each American dollar he exchanged.

Now, he has 100 pesos left to exchange to dollars.

Using the exchange rate of $1 = 10 Mexican Pesos;100 pesos = 100/10 = $10

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Answer:

8/25

Step-by-step explanation:

Since there are only three possible outcomes on the spinner (1, 2, or 3), we can find the probability of spinning a 2 by subtracting the probabilities of spinning a 1 or a 3 from 1

P(2) = 1 - P(1) - P(3)

P(2) = 1 - 7/25 - 2/5

P(2) = 1 - 35/125 - 50/125

P(2) = 1 - 85/125

P(2) = 40/125

P(2) = 8/25

Therefore, the experimental probability of spinning a 2 is 8/25 or 0.32.

Answer: I think it’s 30 you can do it yourself by drawing a rectangle and then multiplying the Length times width

Step-by-step explanation:

Solve this problem using the golden ratio. Given the golden ratio (1 + √5) : 2 and the width of the door, we will find the height of the door.

Step 1: Write the ratio as a fraction.
The golden ratio can be written as a fraction: (1 + √5) / 2.

Step 2: Set up a proportion.
Let the height of the door be h. Then we can write the proportion:

height : width = (1 + √5) / 2
h / 36 = (1 + √5) / 2

Step 3: Solve for h.
To find the height of the door, we'll cross-multiply and solve for h:

h = 36 * (1 + √5) / 2

Step 4: Simplify the expression.
First, we'll distribute the 36:

h = (36 + 36√5) / 2

Next, we'll divide each term by 2:

h = (18 + 18√5)

So, the height of the door is 18 + 18√5 inches, which is in simplest radical form.

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Answer:

62.86

Step-by-step explanation:

Add the cost of things without sales tax:

32.5+ (13×2)=58.5

Convert percent to decimal:

8/100=0.08

Multiply cost without sales tax by sales tax to get the amount added to the cost:

0.08×58.2=4.656

Add cost and sales tax amount to get total payment:

4.656+58.5=62.856

Round the total payment to the nearest hundredth place:

62.86

Answer:

Step-by-step explanation:

no because 6 , 7 and 10 doesn't add up to 180 so it is not

A triangle has sides with lengths of 6 kilometers, 7 kilometers, and 10 kilometers is not a right triangle.

To determine if a triangle is a right triangle, you can use the Pythagorean Theorem. The Pythagorean Theorem states that "In a right-angled triangle, the sum of the square of the two shorter sides is equal to the square of the longest side." It can be written as:

a² + b² = c², where 'a' and 'b' are the lengths of the two legs of a right triangle, and 'c' is the length of the hypotenuse.

In this triangle, the two shorter sides have lengths of 6 kilometers and 7 kilometers and the longest side is 10 kilometers.

The square of 6 kilometers is 36 kilometers and the square of 7 kilometers is 49 kilometers.

The sum of 36 kilometers and 49 kilometers is 85 kilometers.

The longest side of the triangle has a length of 10 kilometers, and the square of 10 kilometers is 100 kilometers.

Since 85 kilometers is not equal to 100 kilometers, this triangle is not a right triangle.

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Answer:

Patrick is collecting data on shoe size. What type of data is this? Shoe size is discrete quantitative data because it only takes on certain values, such as 5, 5.5, 6, 6.5, etc.