Circle T is shown below the radius is 30 cm what is the arc length terms of pi of UV

The given radical expression is (√x)^5. To rewrite it in rational exponent form, we need to express the square root (√) as a fractional exponent.

The square root (√) of x can be written as x^(1/2).

To raise x^(1/2) to the power of 5, we can multiply the exponents: (x^(1/2))^5 = x^(5/2).

Therefore, the radical expression (√x)^5 can be rewritten as x^(5/2) in rational exponent form.

In summary, (√x)^5 is equivalent to x^(5/2) in rational exponent form.

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Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%

The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

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In the additive model for seasonality, seasonality is expressed as an "additive" adjustment to the average. In the multiplicative model, seasonality is expressed as a "multiplicative" adjustment to the average.

In the additive model for seasonality, the seasonal component is added to the average level of the data. This means that the seasonal effect is considered as a fixed amount that is added or subtracted from the average value. For example, if the average monthly sales for a product is 100 units, and the seasonal adjustment for January is +10 units, then the expected sales for January would be 110 units (100 + 10).

On the other hand, in the multiplicative model for seasonality, the seasonal component is expressed as a proportional adjustment to the average level of the data. This means that the seasonal effect is considered as a percentage change applied to the average value. For example, if the average monthly sales for a product is 100 units, and the seasonal adjustment for January is 10% (0.1), then the expected sales for January would be 110 units (100 * 1.1).

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Answer: 5

Step-by-step explanation:

15 odd number

closest even is 14

14/2 =7 but you only have 5 servings of PB

so its 5

Answer:

The equation is: y = 15·x

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

\(\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1\)

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

y = 15·x

y = number of bicycles produced

x = number of hours

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}\)

Answer:

2^2x3x5

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

The slope would be undefined since you don't have a y-intercept. The line only intercept at -7 on the x axis.

The integral of √(1 + cos(2x)) dx can be evaluated by applying the trigonometric substitution method.

To evaluate the given integral, we can use the trigonometric substitution method. Let's consider the substitution:

1 + cos(2x) = 2cos^2(x),

which can be derived from the double-angle identity for cosine: cos(2x) = 2cos^2(x) - 1.

By substituting 2cos^2(x) for 1 + cos(2x), the integral becomes:

∫√(2cos^2(x)) dx.

Simplifying, we have:

∫√(2cos^2(x)) dx = ∫√(2)√(cos^2(x)) dx.

Since cos(x) is always positive or zero, we can simplify the integral further:

∫√(2) cos(x) dx.

Now, we have a standard integral for the cosine function. The integral of cos(x) can be evaluated as sin(x) + C, where C is the constant of integration.

Therefore, the solution to the given integral is:

∫√(1 + cos(2x)) dx = ∫√(2) cos(x) dx = √(2) sin(x) + C,

where C is the constant of integration.

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The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

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The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

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Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Using it's vertex, the maximum value of the quadratic function is -3.19.

A quadratic equation is modeled by:

\(y = ax^2 + bx + c\)

The vertex is given by:

\((x_v, y_v)\)

In which:

Considering the coefficient a, we have that:

In this problem, the equation is:

y + 4 = -x² + 1.8x

In standard format:

y = -x² + 1.8x - 4.

The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:

\(y_v = -\frac{1.8^2 - 4(-1)(-4)}{4(-1)} = -3.19\)

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According to given information, Joanna bought 6 notebooks and 8 pencils with total cost $20.94, which is answer choice A.

What is cost?

cost refers to the amount of money required to purchase or produce a particular item or service.

Let's assume that Joanna bought x notebooks and y pencils. We know that she bought a total of 14 items, so:

x + y = 14

We also know that the total cost of her purchase was $20.94, so:

2.05x + 1.08y = 20.94

We can use the first equation to solve for x:

x + y = 14

x = 14 - y

Substitute this expression for x in the second equation:

2.05x + 1.08y = 20.94

2.05(14 - y) + 1.08y = 20.94

28.7 - 2.05y + 1.08y = 20.94

-0.97y = -7.76

y = 8

Substitute this value of y back into the equation x + y = 14:

x + 8 = 14

x = 6

So, Joanna bought 6 notebooks and 8 pencils, which is answer choice A.

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Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

Answer:

16 boys

Step-by-step explanation:

4/5 = ?/20 , multiply 20 and 4 then divide by 5

Answer:

Circumference= 50.27

Area= 201.06

Answer:

21/4

Step-by-step explanation:

-6-15/ -3-1= -21/-4=21/4

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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We have two functions.

They can be linear or exponential.

We can evaluate the rate of change for each function.

If the rate of change is constant, we have a linear function.

For f(x) we can prove that when x increases by one unit, f(x) increases by 5.5 units, for any value of x.

Then, we can conclude that f(x) is a linear function.

If we look at g(x), we can see that the slope or rate of change is not constant, so it is not linear.

If g(x) is an exponential function, they have constant ratio: the quotient between consecutive values of g(x) is constant for all values of x:

We can test this for the values of the table:

Then, we have proved that the ratio is constant and, therefore, g(x) is an exponential function.

We then can guess the function from:

We can find C from g(0):

and k as:

the factor (1+k) is equal to the ratio we have just calculated (1.05).

Then, the function can be written as:

Answer:

f(x) is linear, while g(x) is exponential.

The formula for g(x) is 4*1.05^x

Answer:

sorry dont know

Step-by-step explanation:

Answer:

yessadadasdadada

Step-by-step explanation:

Answer:

24

kobeeeeeeeeee

Step-by-step explanation:

Answer:139 cm squared

Step-by-step explanation:

First separate it:

10x3

7x7

4x15

These are the 3 rectangles that make up this shape

Then multiply

10x3=30

7x7=49

4x15=60

Then add your answers

30+49+60=139cm squared

then for 5 tablespoons you use 12.5 ounces of milk

Answer:

x=8

y=3

Step-by-step explanation:

the triangle on the right side is equilateral, therefore also equiangular, which means each angle is 60 degrees

that means that 4x-2 = 30;  4x = 32;  x = 8

also means that 7y+9 = 180-(90+60);  7y+9 = 30;  7y = 21;  y = 3

2pq shows the algebraic expressions or equations represent "twice the product of p and q".

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

Here, we have

Twice the product of p and q.

Through this statement, we concluded that 2pq is the correct algebraic expression of a given statement.

Hence, 2pq shows the algebraic expressions or equations represent "twice the product of p and q".

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Answer:

3 + 3 = 6

8 + 8 + 8 = 24

24 + 6 = 30

31 - 30 = 1

1 inch of the board is left