Pleas help me find the equation for this chart please

The answer is B. the y-intercept is where the line intercepts the y axis. x will always be zero.

The y-intercept is -3

πr2 is an example of (D) a model.

Therefore, πr2 is an example of (D) a model.

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The complete question is given below:

Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?

A. a robot

B. a car

C. a telescope

D. a model

The probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

To use the normal approximation to the binomial distribution, we first need to check if the conditions for the approximation are met.

The conditions are:
1. The sample size is large enough (np ≥ 10 and nq ≥ 10)
2. The probability of success (getting a seat) is constant for each trial (person)
3. The trials are independent of each other

Assuming these conditions are met, we can use the normal distribution to approximate the binomial distribution.

Let p = probability of getting a seat = 0.95 (since each person holding a reservation has a 95% chance of getting a seat)
Let n = number of people with reservations who show up = 100 (this is not explicitly given, but we need to assume a value to solve the problem)

Calculate the mean (µ) and standard deviation (σ) of the binomial distribution using the formulas:
  µ = n * p
  σ = sqrt(n * p * (1-p))

The mean of the binomial distribution is μ = np = 100 * 0.95 = 95
The standard deviation of the binomial distribution is σ = sqrt(npq) = sqrt(100 * 0.95 * 0.05) = 2.179

Using the normal approximation, we can find the probability that all 100 people get a seat:
Calculate the z-score using the formula:
  z = (x - µ) / σ

P(X = 100) ≈ P(X > 99.5)
where X is the number of people who get a seat

We use X > 99.5 instead of X = 100 because the normal distribution is continuous while the binomial distribution is discrete.

Using the standard normal distribution table or calculator, we find that the probability of Z > 2.179 (where Z is the standard normal random variable) is 0.0141.

Therefore, the probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).

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Step-by-step explanation:

Let the principal deposited by Ram at the age of 16 be P.

After the balance became 121/700 times of the initial principal, we have:

(121/700)P = P(1 + 10/100)^n

where n is the number of years for which the amount is compounded annually.

Simplifying the above equation, we get:

n = log(121/700)/log(1.1)

After Ram deposited 1/70 of the existing balance, his new balance became:

(121/700)P + (1/70)[(121/700)P] = (121/700)P(1 + 1/10)

After 1 year of this deposit, the new balance became:

(121/700)P*(1 + 1/10)(1 + 20/100) = (121/700)P(11/10)*(6/5) = (363/350)P

Given that this amount is Rs. 359 less than thrice of the initial principal, we get:

(363/350)P = 3P - 359

=> P = Rs. 2450

Therefore, the sum deposited by Ram at the age of 16 years was Rs. 2450.

The loan amount borrowed by Ram from the bank is Rs. 1,10,000 at a rate of 15% p.a. compounded annually for 4 years. Let the interest paid by Ram at the end of the 1st year be I1.

The amount to be paid by Ram at the end of the 1st year = 1,10,000*(1 + 15/100) = Rs. 1,26,500

Out of this, Ram pays only the interest amount, i.e., I1.

The remaining amount to be paid by Ram after the 1st year = 1,26,500 - I1

This amount is to be paid in 3 years, at a rate of 15% p.a. compounded annually.

Let the equal installments to be paid by Ram for the next 3 years be X.

Therefore, we have:

X*(1 + 15/100)^3 + X*(1 + 15/100)^2 + X*(1 + 15/100) = 1,26,500 - I1

Solving the above equation, we get:

X = Rs. 36,285.47

Therefore, the total interest paid by Ram to the bank is:

I1 + 3X - 1,10,000 = I1 + 336,285.47 - 1,10,000 = Rs. 59,856.41

To avoid borrowing an extra loan, the withdrawn amount should be equal to or greater than the amount required to start the business.

The withdrawn amount is given by:

3P - 359 = 3*2450 - 359 = Rs. 6891

Therefore, Ram should have waited for the amount in his bank account to become Rs. 6891 or more, which would take n years, where:

(121/700)2450(1 + 10/100)^n >= 6891

Solving the above equation, we get:

n >= 4.52

Therefore, Ram should have waited for at least 5 years to start the business, to avoid borrowing an extra loan.

So there are 5 raspberries in the bowl.

The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.

Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

We know that for every 3 raspberries, there are 5 blackberries.

We can set up an equation to represent this relationship:

5 blackberries = 3 raspberries

We also know that there are a total of 15 blackberries in the bowl.

We can use the equation to find the number of raspberries in the bowl:

15 blackberries = 3 raspberries

15 blackberries / 3 raspberries = 5 raspberries

So there are 5 raspberries in the bowl.

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Answer:

43p + 2

Step-by-step explanation:

Product of p and 43 = 43p

2 added to the product of p and 43 = 43p + 2

Answer:

Step-by-step explanation:

The product of a number p and 43 means

p * 43 = 43p

And 2 added to the product gives;

43p + 2

However; the expression is 43p + 2.

Answer:

4, 7, 10

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 2 - (- 5) = 1 - (- 2) = 3

To obtain a term in the sequence add d = 3 to the previous term, then

a₄ = a₃ + 3 = 1 + 3 = 4

a₅ = a₄ + 3 = 4 + 3 = 7

a₆ = a₅ + 3 = 7 + 3 = 10

Answer:

2 triangles are possible.

Step-by-step explanation:

Given

a=6

b=10

\(\angle\)A=33°

To find:

Number of triangles possible ?

Solution:

First of all, let us use the sine rule:

As per Sine Rule:

\(\dfrac{a}{sinA}=\dfrac{b}{sinB}\)

And let us find the angle B.

\(\dfrac{6}{sin33}=\dfrac{10}{sinB}\\sinB = \dfrac{10}{6}\times sin33\\B =sin^{-1}(1.67 \times 0.545)\\B =sin^{-1}(0.9095) =65.44^\circ\)

This value is in the 1st quadrant i.e. acute angle.

One more value for B is possible in the 2nd quadrant i.e. obtuse angle which is: 180 - 65.44 = \(114.56^\circ\)

For the value of \(\angle B = 65.44^\circ\), let us find \(\angle C\):

\(\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+65.44+\angle C = 180\\\Rightarrow \angle C = 180-98.44 = 81.56^\circ\)

Let us find side c using sine rule again:

\(\dfrac{6}{sin33}=\dfrac{c}{sin81.56^\circ}\\\Rightarrow c = 11.02 \times sin81.56^\circ = 10.89\)

So, one possible triangle is:

a = 6, b = 10, c = 10.89

\(\angle\)A=33°, \(\angle\)A=65.44°, \(\angle\)C=81.56°

For the value of \(\angle B =\)\(114.56^\circ\), let us find \(\angle C\):

\(\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 33+114.56+\angle C = 180\\\Rightarrow \angle C = 180-147.56 = 32.44^\circ\)

Let us find side c using sine rule again:

\(\dfrac{6}{sin33}=\dfrac{c}{sin32.44^\circ}\\\Rightarrow c = 11.02 \times sin32.44^\circ = 5.91\)

So, second possible triangle is:

a = 6, b = 10, c = 5.91

\(\angle\)A=33°, \(\angle\)A=114.56°, \(\angle\)C=32.44°

So, answer is : 2 triangles are possible.

Answer:

  5 cm

Step-by-step explanation:

You want to know the radius of a drain pipe that empties a cylindrical tank of height 20 cm and radius 30 cm in 2 minutes when the flow rate is 6 cm/s.

The rate of emptying the cylindrical tank is its volume divided by the time it takes to empty.

  V = πr²h

  V = π(30 cm)²(20 cm) = 18000π cm³

If this volume is drained in 2 minutes = 120 seconds, the flow rate is ...

  (18000π cm³)/(120 s) = 150π cm³/s

The area of the drain pipe can be found by dividing this volumetric flow rate by the speed of the flow:

  (150π cm³/s)/(6 cm/s) = 25π cm²

The radius of the drain pipe is that of a circle with area 25π cm²:

  A = πr²

  25π cm² = πr²

  r² = 25 cm² . . . . . divide by π

  r = 5 cm

The radius of the drain pipe is 5 cm.

__

Additional comment

The 20 cm height of the tank is emptied in 120 seconds, so the rate of change of height is 20/120 = 1/6 cm/s. The exit pipe has a flow rate of 6 cm/s, which is 6/(1/6) = 36 times the rate of change in the tank.

The height change is inversely proportional to the area, which is proportional to the square of the radius. So the radius ratio is √36 = 6, meaning the drain must have a radius of (30 cm)/6 = 5 cm.

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

"Perimeter of a polygon is the sum of measures of all the sides of the polygon."

By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

                = 3x + 4 + (x + 4) + 4

                = 4x + 12

Hence, Perimeter = (4x + 12)

Answer:

its C

Step-by-step explanation:

To determine if the weight and balance of an airplane are within limits, calculations need to be performed. These calculations consider the weights of various components and their respective arm distances from the reference datum.

By comparing the calculated center of gravity (CG) with the allowable CG range, it can be determined if the CG and weight of the airplane are within limits. Weight and balance calculations are crucial for ensuring the safety and performance of an aircraft. The weight and balance system involves determining the weights of different components, such as the airframe, engines, fuel, passengers, cargo, and other equipment. Each component's weight is multiplied by its arm distance from the reference datum, which is a fixed point on the aircraft.

The arm is the horizontal distance between the reference datum and the center of gravity of a particular component. The center of gravity is the point at which the aircraft would balance if it were suspended. By summing the moments (weight multiplied by arm) of all components and dividing it by the total weight, the CG can be calculated.

To determine if the CG and weight of the airplane are within limits, the calculated CG is compared to the allowable CG range specified by the aircraft manufacturer. The allowable CG range defines the limits within which the aircraft must operate to ensure stability and controllability. If the calculated CG falls within this range, the weight and balance are considered within limits. However, if the calculated CG exceeds the allowable range, it indicates an imbalance and corrective measures, such as redistributing weight or adjusting the load, are necessary to bring the CG within acceptable limits.

In conclusion, weight and balance calculations involve determining the weights and arm distances of various components in an aircraft. By calculating the CG and comparing it to the allowable CG range, it can be determined if the weight and CG of the airplane are within limits. Ensuring proper weight distribution and CG positioning is vital for maintaining stability and controllability during flight.

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The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:

If point D(x, y) is 7/16 M to J, then:

x = (7/16)(4 - 20) + 20 = 13

y = (7/16)(17 - 1) + 1 = 8

The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)

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Answer:

2.02 m

or 2 m 2 cm

Step-by-step explanation:

Imagine a triangle containing the 40° angle and that this angle is at the left.  Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle.  We need to find the length of this ramp, that is, the length of the hypotenuse.  

The sine function relates this 40° angle and the 1.3 m height of the truck bed:

sin 40° = opp / hyp = 1.3 m / hyp

which can be solved for 'hyp' as follows:

              1.3 m

hyp = ----------------- = (1.3 m) / 0.6428)

             sin 40°

                                                                                  1.3 m

Thus, the length of the ramp must be less than -------------- or 2.02 m

                                                                                 0.6428

where this last result is to the nearest cm.

If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

The product of the terms   \((d - 9)\)  and  \((2d^{2} + 11d -4)\)  will be \((2d^{3} - 7d^{2} - 103d + 36)\).

We have to find the product of two terms.

First term = (d - 9)

Second term = \((2d^{2} + 11d -4)\)

To find the product of these two terms, we will be using the distributive property. According to the distributive property, when we multiply the sum of two or more addends by a number, it will give the same result as when we multiply each addend individually by the number and then add the products together.

We have to find :  \((d - 9) (2d^2 + 11d -4)\)

Using the distributive property,

\(d * 2d^{2} + d * 11 + d * (-4) - 9 * 2d^2 - 9 * 11d - 9 * (-4)\)

After further multiplication, we get

\(2d^{3} + 11d^2 - 4d - 18d^{2} - 99d + 36\)

Now, combine all the like terms.

\(2d^{3} + 11d^{2} - 18d^{2} - 4d - 99d + 36\)

\(2d^{3} - 7d^{2} - 103d + 36\)

Therefore, the product of d-9 and 2d^2 + 11d -4 is \(2d^{3} - 7d^{2} - 103d + 36\)

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The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

Answer:a - number of students in each van

b - number of students in each bus

8a+8b=240

4a+b=54   => b=54-4a

8a+8(54-4a)=240

8a+432-32a=240

432-240=32a-8a

192=24a

a=192/24=8 students in each van

b=54-4*8=54-32=22 students in each bus

Answer:

Would the answer be 9?

Step-by-step explanation:

Use PEMDAS.
3/1/3=1
9-1-8
8+1=9

\(9 - 3 \div \frac{1}{3} + 1\)

you can follow the PEDMAS rule where,

P= Parenthesis

E= Exponents

D= Division

M= Multiplication

A= Addition

S= Subtraction

\(3 \div \frac{1}{3} = 1\)

\(9 - 8 = 1\)

\(8 + 1 = 9\)

Answer:

because the power of the polynomial (T) is 0.5 where the polynomial considered when it must have power as 1,2 or many more.

Answer:

Its not a polynomial because polynomials don's have their exponents in fraction or decimal form

Answer:

52⁰

Step-by-step explanation:

these three figures are similar and thus their angles are the same

The major portfolio strategies of this fund are investing in large-cap stocks and value stocks with high book-to-market ratios. The regression coefficients and p-values provide insights into the fund manager's investment strategy.

The coefficient of 0.4231 for the Large Cap asset class is statistically significant with a p-value of 0.0080, indicating a significant allocation to large-cap stocks. Additionally, the coefficient of 0.5531 for the High Book-to-Market (Value) asset class is also statistically significant with a p-value of 0.0013, indicating a significant allocation to value stocks with high book-to-market ratios.

These findings suggest that the fund manager focuses on investing in large-cap stocks and value stocks with high book-to-market ratios as part of their portfolio strategy.

Regarding the explanation of return variabilities, the R-square value of 0.3500 indicates that the asset allocation strategies explained 35% of the return variabilities in the fund. While this is a significant portion, it also implies that other factors not captured by the regression analysis contribute to the remaining 65% of return variabilities. Therefore, while the asset allocation strategies explain a substantial portion of return variabilities, other factors also play a role in determining the overall returns of the fund.

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Answer:

24 = (9 * 6) - (15 + 15)

Step-by-step explanation:

Equation = (9 * 6) - (15 + 15)

Follow PEMDAS which in this case multiply 9 x 6

= 54 - (15+15)

Now you need to add the numbers that are in the parenthesis

= 54 - 30

= 24

Hope this helps!

Answer:

Step-by-step explanation:

The answer is 5blocks to the right and 3 blocks up thank me LATER

The slope of the required line is  \(\frac{6}{5}\).

Thus, the slope of the line passing through (2,8) and (12,20) is \(\frac{6}{5}\) .

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The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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Answer:9.0117x 10 to the fifth

Step-by-step explanation: it is correct

Answer:

8.835 x 10^4.

Step-by-step explanation:

The first step is to multiply the two numbers:

950 × 9.3 x 10^2 = 8,835 x 10^2

Next, we need to express this answer in scientific notation. To do this, we move the decimal point two places to the left and add "x 10^4" (because there are two decimal places in 8,835):

8.835 x 10^4

Therefore, the product of 950 and 9.3 x 10^2 expressed in scientific notation is 8.835 x 10^4.