When Julie jogs she burns 255 calories I'm 15 minutes and 340 calories in 20 minutes. Which equation represents how many calories she burn pre minute?

When the ball stops bouncing, it will have traveled a total vertical distance of 90 feet.

To determine how far the ball has traveled vertically when it stops, we can calculate the sum of the geometric series formed by the distances of each bounce.

Given that the ball rebounds 2/3 of the distance it falls, the distances covered by each bounce form a geometric sequence with a common ratio of 2/3.

The distance the ball initially falls is 30 feet. The subsequent distances covered by each bounce can be calculated as follows:

First bounce: 30 * (2/3) = 20 feet

Second bounce: 20 * (2/3) = 40/3 feet

Third bounce: (40/3) * (2/3) = 80/9 feet

Fourth bounce: (80/9) * (2/3) = 160/27 feet

Fifth bounce: (160/27) * (2/3) = 320/81 feet

And so on...

To calculate the total distance covered, we sum up the infinite geometric series:

Sum = a / (1 - r)

where "a" is the initial term (30 feet) and "r" is the common ratio (2/3).

Sum = (30) / (1 - 2/3)

Sum = (30) / (1/3)

Sum = 90 feet

Therefore, when the ball stops bouncing, it will have traveled a total vertical distance of 90 feet.

To learn more about ratio visit;

https://brainly.com/question/13419413

#SPJ11

Answer:

14910 meters

Step-by-step explanation:

3 weeks= 21 days

each day= 710 m

21 days= 710*21

21 days= 14910 m

Answer:

A≈380.13 m²

Step-by-step explanation:

looked it up

Answer:

A= 380.13 m²

Step-by-step explanation:

A=\(\pi r^{2}\)

A= \(\pi\)x\(11^{2}\)

A= 380.13

Answer:

bbc

Step-by-step explanation:

The calclated length of segment OG is 8 units

From the question, we have the following parameters that can be used in our computation:

DG = 4√5

DO = 4.

The length OG is calculated as

OG^2 = DG^2 - DO^2

substitute the known values in the above equation, so, we have the following representation

OG^2 = (4√5)^2 - 4^2

Evaluate

OG^2 = 64

So, we have

OG = 8

Hence, the solution is 8

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

The benefits of using the theoretical capacity for Zippy, Inc. include providing a maximum production potential based on ideal conditions, aiding in long-term planning, and setting performance benchmarks. Practical capacity considers unavoidable interruptions and breakdowns, providing a more realistic estimate. The negative aspect of a master-budget denominator level is the potential for unused capacity costs, while the positive aspect is using a predetermined cost base for pricing decisions.

Theoretical capacity, based on three shifts and completion of five motorcycles per shift, gives Zippy, Inc. a maximum production potential of 5,400 units per year. This capacity measure helps in long-term planning, resource allocation, and setting performance benchmarks. On the other hand, practical capacity takes into account unavoidable interruptions, breakdowns, and other factors that can impact production. It provides a more realistic estimate of 3,840 units.

Regarding cost-based pricing, the negative aspect of a master-budget denominator level is that it may lead to unused capacity costs. If the estimated demand falls below the master-budget level, there could be underutilized resources, resulting in economic costs for the company. However, the positive aspect of using a master-budget denominator level is that it provides a predetermined cost base for pricing decisions. It helps in setting prices that ensure the company's costs are covered and profitability is achieved.

In summary, theoretical capacity aids in long-term planning and setting benchmarks, while practical capacity considers interruptions. The negative aspect of a master-budget denominator level is unused capacity costs, but it provides a predetermined cost base for pricing decisions, ensuring cost recovery and profitability.

Learn more about profit here:

https://brainly.com/question/21297845

#SPJ11

Answer:

SSA

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 angles are congruent but no evidence of any of sides being congruent, the triangles can still be different

So the answer is Not congruent

Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

Learn more about the inverse variation here:

brainly.com/question/11592410.

#SPJ2

Answer:

Mizuki is here to help!

115200 \(ft^3\) is the volume of the building.

Step-by-step explanation:

120 x 20 x 48 =

2400 x 48 =

115200

A megaliter is 10,000 times larger than a hectoliter.

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

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

1 mega liter = 10^6 Liter

1 hectoliter = 10^2 Liter.

Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter

The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.

Uncle Reynald's age is given by the expression 3(12 + 5) - 4.

To learn more about the equation visit:

https://brainly.com/question/2972832

Answer:

the first one is diffrence

2nd one is liter

3rd one 10,000

Step-by-step explanation:

It looks like the system of ODEs is

\(\begin{cases} 2x' + y' - 4x - 4y = e^{-t} \\ x' + y' + 2x + y = e^{4t} \end{cases}\)

Differentiate both sides of both equations with respect to \(t\).

\(\begin{cases} 2x'' + y'' - 4x' - 4y' = -e^{-t} \\ x'' + y'' + 2x' + y' = 4e^{4t} \end{cases}\)

Eliminating the exponential terms, we have

\((2x' + y' - 4x - 4y) + (2x'' + y'' - 4x' - 4y') = e^{-t} + (-e^{-t}) \\\\ \implies (2x'' - 2x' - 4x) + (y'' - 3y' - 4y) = 0\)

\((x'' + y'' + 2x' + y') - 4 (x' + y' + 2x + y) = 4e^{4t} - 4\cdot e^{4t} \\\\ \implies (x'' - 2x' - 8x) + (y'' - 3y' - 4y) = 0\)

Now we can eliminate \(y\) and it derivatives.

\(\bigg((2x'' - 2x' - 4x) + (y'' - 3y' - 4y)\bigg) - \bigg((x'' - 2x' - 8x) + (y'' - 3y' - 4y)\bigg) = 0 - 0 \\\\ \implies x'' + 4x = 0\)

Solve for \(x\). The characteristic equation is \(r^2 + 4 = 0\) with roots at \(r=\pm2i\), hence the characteristic solution is

\(\boxed{x(t) = C_1 \cos(2t) + C_2 \sin(2t)}\)

Solve for \(y\). Substituting \(x\) into the second ODE gives

\(x' + y' + 2x + y = e^{4t} \\\\ \implies y' + y = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t)\)

The characteristic equation this time is \(r + 1 = 0\) with a root at \(r=-1\), hence the characteristic solution is

\(y(t) = C_3 e^{-t}\)

Assume a particular solution with unknown coefficients \(a,b,c\) of the form

\(y_p = ae^{4t} + b \cos(2t) + c \sin(2t) \\\\ \implies {y_p}' = 4ae^{4t} - 2b\sin(2t) + 2c\cos(2t)\)

Substituting into the ODE gives

\(5ae^{4t} + (b+2c) \cos(2t) + (-2b+c) \sin(2t) = e^{4t} + C_1 \cos(2t) + C_2 \sin(2t) \\\\ \implies \begin{cases}5a = 1 \\ b+2c = C_1 \\ -2b+c = C_2\end{cases} \\\\ \implies a=\dfrac15, b=\dfrac{C_1-2C_2}5, c=\dfrac{2C_1+C_2}5\)

so that the general solution is

\(\boxed{y(t) = \dfrac15 e^{4t} + \dfrac{C_1-2C_2}5 \cos(2t) + \dfrac{2C_1+C_2}5 \sin(2t) + C_3 e^{-t}}\)

To find the arc length, we can use the formula:

\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)

To know more about length visit-

brainly.com/question/23864013

#SPJ11

Answer:

Answer

Step-by-step explanation:

Step-by-step explanation

Responder:

(x + 2) ² + (y-4) ² = 100

Explicación paso a paso:

La ecuación de un círculo se expresa como (x-x0) ² + (y-y0) ² = r²

r es el radio

(x0, y0) es el centro

Dado que el centro representa el punto medio de (-7, -6) y (3,14)

x0 = -7 + 3/2

x0 = -4/2

x0 = -2

y0 = -6 + 14/2

y0 = 8/2

y0 = 4

Sustituir en la expresión

(x - (- 2)) ² + (y-4) ² = 10²

(x + 2) ² + (y-4) ² = 100

Por lo tanto, la ecuación requerida del círculo es (x + 2) ² + (y-4) ² = 100

Answer:(−5x3−6x2−5)(−5x2−2x) = 25x5+40x4+12x3+25x2+10x

Step-by-step explanation:

Answer: P×0.8

Step-by-step explanation:

1-0.2=0.8

Answer: C / .33

Step-by-step explanation:

Answer:

100% true....

subtracting 19 from both sides brings you to 2x=8, so x=4

Step-by-step explanation:

Hey there!

2x + 19 = 27

SUBTRACT by 19 to BOTH SIDES

2x + 19 – 19 = 27 – 19

Cancel out: 19 – 19 because that gives you 0

KEEP: 27 – 19 because that gives you the value of 8

New EQUATION: 2x = 8

DIVIDE by 2 to BOTH SIDES

2x/2 = 8/2

CANCEL out: 2/2 because that gives you 1

KEEP: 8/2 because that gives you the value of x

“8/2 = x”

Answer: x = 4 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

\(16 {( \frac{1}{2} x)}^{4} \\ = 16 \times {( \frac{1}{2}) }^{4} {x}^{4} \\ = 16 \times \frac{1}{16} {x}^{4} \\ = {x}^{4} \\ thank \: you\)

Solution:

\(16 \times \bigg ( \frac{x}{2} \bigg)^{4} \\ \\ = 16 \times \bigg( \frac{x^{4} }{2^{4} } \bigg) \\ \\ = 16 \times \frac{ {x}^{4} }{16} \\ \\ = {x}^{4} \\ \\ \)

Therefore answer is x⁴

Hope it helps you :)

The line q passes through (2, 0) and (-7, -4)

If line Q does not intersect the line LM, then these lines are parallel, thus, have the same slope.

The slope of line LM is given by:

s = (3 + 4)/(2 + 4) = 7/6

Now we know that the line Q contains point N (2, 0) ( i will assume is this because in the image the points don't have the correspondent names).

Then the line also passes through another point (a, b) such that:

s = (0 - b)/(2 - a) = 7/6

Then:

b = -7

a = -4

The line q passes through (2, 0) and (-7, -4)

learn more about parallel lines.

https://brainly.com/question/24607467

#SPJ1

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

Answer:

a) \(\sf x = 1.1\)    b) \(\sf x = 1.5\)

solving steps:

a)

\(\sf 2.6 * x = 2.86\)

\(\sf x = \frac{2.86}{2.6}\)

\(\sf x = 1.1\)

b)

\(\sf x * 1.2 = 1.8\)

\(\sf x = \frac{1.8}{1.2}\)

\(\sf x = 1.5\)

Answer:

This is because, a relation could be any set of ordered pairs where as a function is a set of ordered pairs where there is only ONE value of y for every value of x.

Another way of explaining it is:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments. By contrast, in a relation, there can be any number of lists that agree on all but the last element.

The statement "All functions are relations but some relations are not functions" highlights the relationship between functions and relations and the distinction between the two concepts.

In mathematics, a relation is a set of ordered pairs that establishes a connection between elements of two sets. It can be thought of as a collection of inputs and outputs.

On the other hand, a function is a specific type of relation in which each input value (x-coordinate) is associated with exactly one output value (y-coordinate).

So, when we say "all functions are relations," we are acknowledging that functions are a subset of relations. This is because functions satisfy the property of assigning a unique output for each input, making them a special kind of relation.

However, the statement also recognizes that there are relations that do not meet the criteria of a function. This occurs when an input value is associated with multiple output values or when an input value has no corresponding output value.

In other words, some relations may have more than one output value for a given input, or they may lack a well-defined output for certain inputs. Such relations are not considered functions.

Therefore, while all functions can be classified as relations, not all relations can be classified as functions due to the specific requirement of having a unique output for each input.

To know more about functions refer here:

https://brainly.com/question/31062578

#SPJ11

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

An isomorphism is a bijective linear transformation, that is both one-to-one and onto. The determinant of a linear transformation can help determine if it is an isomorphism. If the determinant is non-zero, the linear transformation is invertible, and therefore an isomorphism. A linear transformation is an isomorphism if and only if its determinant is nonzero.
Additionally, another way to check if a linear transformation is an isomorphism is to check if the kernel, which is the set of all vectors that get mapped to zero, is equal to only the zero vector. If the kernel is only the zero vector, then the linear transformation is one-to-one and therefore an isomorphism.

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

To know more about statement visit :

https://brainly.com/question/27839142

#SPJ11

Answer:

One real root (multiplicity 2).

Step-by-step explanation:

-3=x^2+4x+1

x^2 + 4x + 4 = 0

Discriminant = 4^2 - 4*1*4 = 0

There is one real root (multiplicity 2).

The equation has 1 real solution.

The quadratic function is given as:

\(-3=x^2+4x+1\)

Add 3 to both sides of the equation

\(3-3=x^2+4x+1 + 3\)

This gives

\(0=x^2+4x+4\)

Rewrite the equation as:

\(x^2+4x+4 = 0\)

A quadratic equation is represented as:

\(ax^2+bx+c = 0\)

By comparison, we have:

\(a =1\)

\(b =4\)

\(c = 4\)

The discriminant (d) is calculated as:

\(d =b^2 - 4ac\)

So, we have:

\(d =4^2 - 4 \times 1 \times 4\)

\(d =16 - 16\)

Evaluate like terms

\(d = 0\)

Given that the discriminant value is 0, it means that the equation has 1 real solution.

Read more about quadratic functions at:

https://brainly.com/question/2507588

Answer:

V = π(8^2)(31) = 6,232.9 m^3

Answer:

a₅ = 141

Step-by-step explanation:

using the recursive rule \(a_{n+1}\) = - 3\(a_{n}\) - 3 and a₁ = 1

the recursive rule allows a term in the sequence to be found by multiplying the previous term by - 3 and then subtracting 3 , that ia

a₁ = 1

a₂ = - 3a₁ - 3 = - 3(1) - 3 = - 3 - 3 = - 6

a₃ = - 3a₂ - 3 = - 3(- 6) - 3 = 18 - 3 = 15

a₄ = - 3a₃ - 3 = - 3(15) - 3 = - 45 - 3 = - 48

a₅ = - 3a₄ - 3 = - 3(- 48) - 3 = 144 - 3 = 141

Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

To know more about distribution visit:

https://brainly.com/question/31197941

#SPJ1