Kwanzaa is celebrated for 7 days each year. Kwanzaa was celebrated for the first time in 1966. What is the total number of days that Kwanzaa has been celebrated so far?

Answer: 1.845 x 10^10.

Use  Theoretical probability  there are 220 students in the grade.

We can use the formula for theoretical probability to find the number of students in the grade:

P(event) = number of favorable outcomes / number of total outcomes

In this case, the probability of a student trying out for the school play is 1/10, so we have:

1/10 = number of students who try out / total number of students in the grade

We can simplify this equation by multiplying both sides by the total number of students in the grade:

total number of students in the grade * 1/10 = number of students who try out

Multiplying both sides by 10, we get:

total number of students in the grade = 10 * number of students who try out

Substituting the given value of 22 for the number of students who try out, we get:

total number of students in the grade = 10 * 22

total number of students in the grade = 220

Therefore, there are 220 students in the grade.

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1) adjacent

2) linear pair

3) complementary

4) vertical

5) linear pair

6) linear pair

7) complementary

8) vertical

9) adjacent

10) adjacent

11) vertical

12) adjacent

13) adjacent

14) vertical

Alexandre was above the water for approximately 2.04 seconds after he dove.

Since the relation between Alexandre's height and time is quadratic and affected by gravity, we can use the equation: h(t) = -gt²/2 + vt + h0

where h(t) represents height at time t, g is the acceleration due to gravity (9.8 m/s²), v is his initial vertical velocity, and h0 is his initial height (10 m, as he dives from the 10 m platform).

We are given the maximum height (11.225 m) reached after 0.5 s, so we can use this information to find v:

11.225 = -9.8(0.5)²/2 + v(0.5) + 10

Solving for v, we get: v = 3.45 m/s

Now we have the equation: h(t) = -4.9t² + 3.45t + 10

To find out how long Alexandre was above the water, we need to find when h(t) equals 0 (when he enters the water):

0 = -4.9t² + 3.45t + 10

Solving this quadratic equation for t (using the quadratic formula, factoring, or other methods), we get: t ≈ 2.04 s

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Answer:

The total answer is $14.16 because the tip would be $2.16 so add it with 12 and you get $14.16.

Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

Answer:

(2,-7)

Step-by-step explanation:

I think its that

Answer:

∠P = 39º

∠Q=120º

∠R = 21º

Step-by-step explanation:

m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)

2x-3+6x-6+x=180º (substitution)

9x-9=180º (algebra)

9x=189º (algebra)

x=21º (algebra) (this is ∠R)

(2x-3)=39º (algebra) (this is ∠P)

6x-6=120º (algebra) (this is ∠Q)

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Step-by-step explanation:

Step 1:

6x - 6° + 2x - 3° + x = 180°        Sum of a Δ

Step 2:

9x - 9° = 180°         Combine Like Terms

Step 3:

9x = 189°        Add 9 on both sides

Step 4:

x = 189° ÷ 9       Divide

Step 5:

x = 21°

Step 6:

2 ( 21 ) - 3 = ∠P = 39°

Step 7:

6 ( 21 ) - 6 = ∠Q = 126°

Step 8:

∠R = 21°

Answer:

∠R = 21°

∠Q = 120°

∠P = 39°

Hope This Helps :)

Let's say that the number of metal paperweights is "x", then the number of glass paperweights is "2x" since she has twice as many glass paperweights as metal.

We know that she has a total of 12 paperweights, so we can set up an equation:

x + 2x + 3 = 12

Simplifying the equation, we get:

3x + 3 = 12

Subtracting 3 from both sides, we get:

3x = 9

Dividing both sides by 3, we get:-

x = 3

So Teri has 3 metal paperweights, and since she has twice as many glass paperweights as metal, she has:

2x = 2(3) = 6 glass paperweights.

Therefore, Teri has 3 metal paperweights, 6 glass paperweights, and 3 wood paperweights in her collection.

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Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

The regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

Using a technology such as a graphing calculator, we simply input the data values in the graphing calculator and then wait for the result.

The x coordinates must be entered into the x values and the y coordinates must be entered into the y values

Using a graphing technology, the regression equation of the data values is y = 0.3x^2 - 2.8x +4.2

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The measure of angle BDC = 100°

The smallest polygon with three sides and three internal angles is known as a triangle. According to the triangle's "angle sum property," a triangle's internal angles add up to 180°.

Sum of angles in a triangle = 180°

Here we have

3 triangles in the given picture

As we know the Sum of angles in a triangle = 180°

From triangle CBD

∠CBD + ∠BDC + ∠DCB = 180°

From figure  ∠DCB = 40° and ∠CBD = 40°

=> 40° + ∠BDC + 40° = 180°  

=> ∠BDC = 180° - 80°

=> ∠BDC = 100°

Therefore,

The measure of angle BDC = 100°

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Step-by-step explanation: See attached step by step

The equation of the rational function that fits the given criteria is F(x) = (x+5)(x-1)/[(x-2)(x+3)].

A rational function that has zeros of x=-5 and x=1, does not exist at x=2 and x=-3, and has an end behavior that tends toward y=3 would look like the following equation:

F(x) = (x+5)(x-1)/[(x-2)(x+3)]

The numerator of this function includes the zeros, or the values of x that make the function equal to zero. The denominator includes the values of x that make the function not exist, or where the function has vertical asymptotes.

The end behavior of this function is determined by the leading coefficients and degrees of the numerator and denominator. Since they are both of degree 2, the end behavior will be a horizontal asymptote at y=3.

In conclusion, the equation of the rational function that fits the given criteria is F(x) = (x+5)(x-1)/[(x-2)(x+3)].

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Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

Annual Medical cost = 1269.86

monthly premium cost to Ronald for the Blue Shield plan = $48.48.

For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.

The annual deductible cost = $630.

Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.

He also spent $71 and $95 on two prescriptions during the year.

= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)

= (48.48 x 12) + 630 + (0.35 x 166)

= 1269.86

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For the following  equation, L.H.S = R.H.S is proved by solving the left-hand side and equating with it with the right-hand side equation :

\(\frac{tan x}{1-cot x} + \frac{cot x }{1-tan x} = 1+ tan x+ cot x\)

L.H.S =  \(\frac{tan x}{1- cot x} + \frac{cot x }{1 - tan x}\)

\(\frac{- tan^{2}x }{1- tan x} + \frac{cot x }{1 - tan x}\)

\(\frac{-tan^{2} x + cot x}{1 - tan x}\)

Multiply \(\frac{tan x}{tan x}\) we get,

\(\frac{1- tan^{3} x}{tan x (1- tan x)}\)

\(\frac{(1 - tan x ) (1 + tan x + tan ^{2}x) }{tan x (1 - tan x )}\)

\(\frac{( 1- tan x + tan^{2}x) }{tan x}\)

Divide each term separately,

\(\frac{1}{tan x} + \frac{tan x}{tan x} + \frac{tan^{2}x }{tan x}\)

cot x + 1 + tan x

therefore, 1+ tan x + cot x = R.H.S

L.H.S = R.H.S, hence the theory is proved.

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Answer: josie can buy 3 sets of dishes

Step-by-step explanation: im assuming that a set would cost 45 including shipment fee

45x3 = 135

Answer:

3

Step-by-step explanation

45*3= 135

45*4=180 so there fore you can onlt get 3

Answer:

The Answer is: y = - 2x + 8.

the y-intersept is 8, and the slope is -2x

Step-by-step explanation:

Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is

\(let \: h = hrs\)

\( 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} \)

The miles unit, mi cancels and leaves us with hours, h

\( \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs\)

The actual dimensions of the walk-in closet are 4 feet × 6.67 feet.  

To find actual dimensions multiply the given measurement with the measurement given in scale.

In the given problem, given that 1 in = 10 feet which is the scale given, we need to multiply the given measurements that are in the plan with the scale measurement 10 feet.

Here we have

A floor plan is given for the first floor of a new house.

One inch represents 10 feet.

The walk-in closet is 2/5 in. × 2/3 in. on the floor plan  

As we know 1 inch  = 10 feet

=> 2/5 in = (2/5) × 10 feet = 4 feet

=> 2/3 in = (2/3) × 10 feet = 6.67 feet

Therefore,

The actual dimensions of the walk-in closet are 4 feet × 6.67 feet.  

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-3.5, -3, -2 1/2, -2, 2.5

Answer:

-3.5, -3, -2½, -2, 2.5

Step-by-step explanation:

hope you have a great day!

Answer:

In explanation below.

Step-by-step explanation:

Presumably, the proof you have in mind is to use a=b=2–√a=b=2 if 2–√2√22 is rational, and otherwise use a=2–√2√a=22 and b=2–√b=2. The non-constructivity here is that, unless you know some deeper number theory than just irrationality of 2–√2, you won't know which of the two cases in the proof actually occurs, so you won't be able to give aa explicitly, say by writing a decimal approximation.

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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The following values are as follows: a) Mean = 0.6, b) standard deviation = 0.073 and c) Probability is 0.0855

a) As the number of samples is large enough which is up to 30 then the mean of the average number of moths in 30 traps is given as 0.6, given from the central limit theorem.

b) The population deviation divided by the square root of the sample size gives the standard deviation value.

standard derivation = σ/ \(\sqrt{n}\) = 0.4 / \(\sqrt{30}\) = 0.4/ 5.477 = 0.073

c) The probability that an approximately normally distributed data with the standard deviation, σ, with a sample size of n is greater than a number, x, and a mean, μ, is given by

1 - P (X < x)= P (X > x)

= 1 - P(z< x- µ/ σ/\(\sqrt{n}\))

Thus, given that the mean is 0.6 and the standard deviation is 0.4, the probability that the average number of moths in 30 traps is greater than 0.7 is given by:

1 -P (X - 0.7) = P (X > 0.7)

= 1 - P(z < \(\frac{0.7-0.6}{0.073}\)) = 1 - P(z < 1.369)

= 1 - 0.91455 = 0.0855

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Answer:

let the two numbers = x and y

according to the statement : x-y=4

x+y=22

by elimination method: 2x=26

x=13

so... y = 13-4=9

Answer:

The two numbers (x and y) are 13 and 9 respectively. 13 minus 9 is 4 and 13 plus 9 is 22.

Step-by-step explanation:

Let the two numbers be x and y.

The difference between x and y (x - y) = 4. (eqn 1)

Their sum (x + y) = 22. (eqn 2)

From eqn 1, we can get that x = 4 + y

Substituting x as (4 + y) in eqn 2 gives the following:

(4+y) + y = 22

4 + 2y = 22

and 2y = 22 - 4

2y = 18

dividing both sides by 2 gives y = 9.

Substituting y as 9 in eqn 1 gives

x - 9 = 4

x = 4 + 9

x = 13

Answer:

I need more points plssss help

According to the question The volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

To find the volume of the solid obtained by rotating the region bounded by the curves \(x = 6 - 3y$, $x = 0$, and $y = 3$\) about the \($y$\)-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell is the difference between the two curves, which is given by \($(6 - 3y) - 0 = 6 - 3y$\)

The radius of each cylindrical shell is the distance from the \($y$\)-axis, which is simply \($y$\).

The differential volume of each cylindrical shell is then given by \(dV = 2\pi y(6 - 3y) \, dy$.\)

To find the total volume, we integrate the differential volume from \(y = 0$ to $y = 3$:\)

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

To solve the integral, let's integrate the expression step by step:

\($V = \int_{0}^{3} 2\pi y(6 - 3y) \, dy$\)

Expanding the expression, we have:

\($V = \int_{0}^{3} 12\pi y - 6\pi y^2 \, dy$\)

Integrating term by term, we get:

\($V = \left[6\pi \left(\frac{1}{2}y^2\right) - 2\pi \left(\frac{1}{3}y^3\right)\right] \bigg|_{0}^{3}$\)

Simplifying further:

\($V = \left[3\pi y^2 - \frac{2}{3}\pi y^3\right] \bigg|_{0}^{3}$\)

Plugging in the limits of integration:

\($V = \left[3\pi \cdot 3^2 - \frac{2}{3}\pi \cdot 3^3\right] - \left[3\pi \cdot 0^2 - \frac{2}{3}\pi \cdot 0^3\right]$\)

Simplifying:

\($V = \left[27\pi - 27\pi\right] - \left[0 - 0\right]$\)

\($V = 0$\)

Therefore, the volume of the solid obtained by rotating the region about the \($y$\)-axis is \($0$\).

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