what is the equation for
4,2 and 9,12

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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The following set R does not define an equivalence relation, as it is not satisfying the transitive property.

Equivalence relation: In mathematics equivalence relation is a kind of binary relation which is reflexive, symmetric, and transitive.

The given set is {1, 2, 3, 4} which is forming a relation R where R = {(1, 1), (2, 2), (3, 3), (4, 4), (2, 3), (3, 2), (2, 4), (4, 2)}

This relation is following reflexive property as (1, 1), (2, 2), (3, 3), (4, 4) all are present in the relation

This relation is following symmetric property as  (2, 3), (3, 2), (2, 4), (4, 2) all are there in the relation

But the relation is not following transitive property as (2,3) ,(4,2) are there but (4,3) is not there in the relation . So it is not transitive.

Therefore the given relation is not an equivalence relation because it is not transitive .

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Answer:

\(v = \frac{32\pi}{3}\)

or

\(v=33.52\)

Step-by-step explanation:

Given

\(f(x) = 4x - x^2\)

\(g(x) = x^2\)

\([a,b] = [0,2]\)

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

\(\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx\)

Integrate

\(v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx\)

\(v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx\)

Substitute values for a, b, f(x) and g(x)

\(v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx\)

Evaluate the exponents

\(v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx\)

Simplify like terms

\(v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx\)

Factor out 8

\(v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx\)

Integrate

\(v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0\)

\(v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0\)

Substitute 2 and 0 for x, respectively

\(v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])\)

\(v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])\)

\(v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]\)

\(v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]\)

Take LCM

\(v = 8\pi [ \frac{16*4- 16 * 3}{12}]\)

\(v = 8\pi [ \frac{64- 48}{12}]\)

\(v = 8\pi * \frac{16}{12}\)

Simplify

\(v = 8\pi * \frac{4}{3}\)

\(v = \frac{32\pi}{3}\)

or

\(v=\frac{32}{3} * \frac{22}{7}\)

\(v=\frac{32*22}{3*7}\)

\(v=\frac{704}{21}\)

\(v=33.52\)

Step-by-step explanation:

there's the answer and if so please give me brainliest answer I need 4 more

Answer:

4/5 - 1/8 = 27/40

so C is 27/40

Step-by-step explanation:

Answer:

Class Rank | Frequency

--- | ---

Fr | 7

So | 3

Jr | 4

Se | 6

\( \bold {m = \frac{rise}{run} } \\ m = \frac{0 - ( -2)}{0 - 10} \\ m = \frac{0 + 2}{ - 10} \\ m = \frac{2}{ - 10} \\ m = - \frac{1}{5} \)

\(y = mx + b \\ m = slope \\ b = y - intercept\)

Because the graph passes origin point (0,0). Therefore the value of b is 0.

\( \large \boxed {y = - \frac{1}{5} x}\)

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

\(E(X) = P(X_1) * X_1 + P(X_2) * X_2\)

Where:

\(P(X_1)\) = Probability of the product not failing within 2 years = 0.95

\(X_1\) = Amount profited when the product doesn't fail within 2 years = $50

\(P(X_2)\) = Probability of the product failing within 2 years = 0.05

\(X_2\) = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

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The size tray of plants which is the best value for money is large tray.

A small tray of 10 plants costs £2.50

Cost per unit = Total cost / number of plants

= £2.50 / 10 plants

= £0.25 per plant

A medium tray of 40 plants costs £8.40

Cost per unit = Total cost / number of plants

= £8.40 / 40 plants

= £0.21 per plant

A large tray of 90 plants costs £12.60

Cost per unit = Total cost / number of plants

= £12.60 / 90 plants

= £0.14 per plant

Hence, the large tray of 90 plants costs £12.60 is the best buy for your money.

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I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?

Answer:

Input 4 , Output 6

Input 2 , Output 5

Input 6 , Output 2

Input 1 , Output 0

Step-by-step explanation:

The input is the X, The output is the Y.

Answer:

d 9 years, 11 months

Step-by-step explanation:

Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.

P = $5,960.32

Rate = 4.2%

Number of years = x

Final amount=$9000

Number of times compounded= x/2

A= p(1+r/n)^(nt)

9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)

9000= 5960.32(1+0.084/x)^x²/2

2(9000/5960.32)=(1+0.084/x)^x²

3.019972=((x+0.084)/x)^x²

On trial an error

The value of x is found to be approximately 9 year, 11 months

Answer:

4/10 is the same as 40/100

there fore 4/10+40/100=40/100+40/100=

80/100

hope it helps :)

Answer:

80/100

4/5    as reduced fraction

Step-by-step explanation:

4/10 + 40/100

use common denominator of 100

40/100 + 40/100 = 80/100

As a reduced fraction

4/5

The powers, (index) and coefficients of the polynomial indicates;

(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

(B) 4

(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4

(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6

(E) Please find attached the graph of the polynomial created with MS Excel

(F) Four complex roots

A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.

Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4

Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;

Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;

+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes

The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;

The possible number of negative zeros are 2 or 0, negative zeroes

Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4

Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;

p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6

Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel

Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial

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Answer:

2 miles

Step-by-step explanation:

6X + 10 = 22

X = (22-10)/6 = 12/6 = 2 miles

Area

\(\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|\)

\(\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|\)

\(\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|\)

\(\\ \tt\longmapsto \dfrac{1}{2}|-36|\)

\(\\ \tt\longmapsto 18units^2\)

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = \(σ^{2} =\frac{Sigma(xi-m)^{2}}{n}\)

Now here we need to verify ∑x and ∑\(x^{2}\).

∑x = 21+19+15+32+27

     = 114

and ∑\(x^{2}\) = \(21^{2} +19^{2} +15^{2} +32^{2} +27^{2}\)

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=\(\sqrt{Variance}\)

                                     = \(\sqrt{45.2}\)

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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Answer:

10000

Step-by-step explanation:

3.34x=33400

x=10000

The number is x=10000.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

let, the number = x

now, we get,

3.34x=33400

x=10000

Hence, The number is x=10000.

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A graph is a visual representation or diagram that shows facts or values in an ordered way. The only graph that satisfies the above shape is the third one.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple items are frequently represented by the points on a graph. The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. The only graph that satisfies the above shape is the third one.

Therefore, the correct option is option C.

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Your question is incomplete but most probably your full question was,    

(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²

= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)

= p ⁻¹⁶ q ⁻²⁰

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

Step-by-step explanation:

1. Put the words into math

3  3 1/4 divided by 2 3/8 equals a b/c.= 3 1/4/2 3/8

3 1/4/2 3/8=

1 7/19

2. Answer: 1 7/19

7 visits

Step-by-step explanation:

All I did was minus 16 from 37 to get 21, then divided that by 3.

The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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The average momentum of the particle is 5.

To find the average momentum for the particle in problem 1, we need to calculate the following integrals:

1. The integral of the momentum with respect to time, which is the total momentum of the particle over the given time interval:

∫P(t)dt

2. The integral of time with respect to time, which is the total time of the particle over the given time interval:

∫t dt

Then, we can find the average momentum by dividing the total momentum by the total time:

Pavg = ∫P(t)dt/∫t dt

For example, if the momentum of the particle is given by P(t) = 5t + 2, then we can calculate the average momentum by first calculating the integrals of P(t) and t over the given time interval [0,5]:

∫P(t)dt = 5t²/2 + 2t, evaluated from 0 to 5 = 62.5

∫t dt = t²/2, evaluated from 0 to 5 = 12.5

Therefore, the average momentum of the particle is Pavg = 62.5/12.5 = 5.

The average momentum of the particle is 5.

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Answer:

\(2x + x + 42 = 90\degree \\ 3x = 48 \\ x = \frac{48}{3} = 16 \\ m \angle1 = 2(16) = 32\degree \\ m\angle2 = 16 + 42 = 58\degree \\ or \\ m\angle2 =90 - m\angle1 =90 - 32 = 58 \degree\)

Answer:

1.25 serving(s)?

Step-by-step explanation:

3/4 is a serving yes?

if you add the 1/4, than you get a cup getting 1 1/4 a serving

i changed the 1/4 to .25 because it makes more sense

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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Answer:

KL = 7, so B is the correct answer.