Carla wants to buy a new bike before summer starts in one week. She saves $1 on the first day of the week, $2 on the second day, $4 on thethird day, $8 on the fourth day, and continues this pattern the rest of the week.If the bike costs $150, Carla willenough money to buy the bike before the start of summer.Carla will have

The coordinates of vertex A' are (1, 1)

The coordinates of vertex B' are (2, 3).

The coordinates of vertex C' are (2, 1).

In Geometry, a reflection over or across the x-axis is represented or modeled by the following transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate (x-value) while the sign of the y-coordinate (y-value) changes from positive to negative or negative to positive as the case may be.

In this exercise, you are required to apply a reflection over the x-axis, a rotation of 90° clockwise about the origin, and finally reflected across the line y = x as shown in the transformation table below;

Original vertex   Reflection (x-axis)   Rotated 90° clockwise   Line y = x

A (1, 1)           →             (1, -1)          →              (-1, -1)           →             (1, 1)

B (2, 3)          →            (2, -3)        →              (-3, -2)         →             (2, 3)

C (2, 1)          →            (2, -1)         →              (-1, -2)         →              (2, 1)

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The value of ∂x/∂s is  4s^2 * t^6.

To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):

f(x, y, z) = (x^2)(y^3) + z^3

Substituting x, y, and z:

f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3

Expanding the expression:

f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)

Now, let's differentiate x with respect to s:

∂x/∂s = ∂/∂s [(s^2)(t^3)]^2

Using the chain rule, we can differentiate each term separately:

∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]

Differentiating (s^2)(t^3) with respect to s:

∂/∂s [(s^2)(t^3)] = 2s * t^3

Substituting back into the expression for ∂x/∂s:

∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3

Simplifying:

∂x/∂s = 4s^2 * t^6

Therefore, ∂x/∂s = 4s^2 * t^6.

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Answer:

about 0.52 of the field

30=30 -75=80 = 50 near 52

Step-by-step explanation:

about 0.52 of the field

about 0.64 of the field

about 0.71 of the field

about 0.87 of the field

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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what the question............

Answer:

-36

Step-by-step explanation:

Answer:

X=6.195

Attached please find equation.

Step-by-step explanation:

Let 1+i∗=(1+i)4 so that the calculation using annuity

Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Step-by-step explanation:

11.

\( \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } \)

\( \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } \)

\( \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } \)

\( \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } \)

\( \frac{4x}{x + 4} \)

12.

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

\( \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } \)

\( \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } \)

\( \frac{x + 1}{x - 1} \)

13.

\( \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } \)

\( \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } \)

\( \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } \)

\( \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } \)

\( - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } \)

14.

\( \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } \)

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

Answer:

l = 4a and b = 3a

Step-by-step explanation:

Given that,

The area of the rectangle, A = 12a²

Perimeter, P = 14a

The area and perimeter of a rectangle are given by :

A = lb

12a² = lb ....(1)

P = 2(l+b)

14a = 2(l+b) ....(2)

We need to solve equations (1) and (2). After solving we find that.

l = 4a and b = 3a

Hence, the dimensions of this rectangle are 4a and 3a.

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Answer:

x/6 = 4/5

x(5) = 6(4)

5x=24

x=24/5

Let me know if this helps!

Answer:

Step-by-step explanation:

standard error of the mean. is expressed mathematically as;

\(SM = \dfrac{\sigma}{\sqrt n}\)

\(\sigma\) is the standard deviation

n is the sample size

Given

\(\sigma = 330kwh\\n = 36\)

Required

Standard error of the mean SM

Substitute the given parameters into the formula shown;

\(SM = \dfrac{330}{\sqrt {36}}\\SM = \frac{330}{6} \\SM = 55\)

Hence the standard error of the mean is 55.

Answer: 52.8

Step-by-step explanation: it’s on khan ,

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

side xy = 9.41 cm

Step-by-step explanation:

Answer:

side xz is 78°

90+12=102

180-102

Answer:

0.200

Step-by-step explanation:

∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5

∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5

This is a geometric series.  The sum of the first n terms of a geometric series is:

S = a₁ (1 − rⁿ) / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40.  For simplicity, let's write both a₁ and r in terms of r.  So a₁ = r and r = r.

5 = r (1 − r⁴⁰) / (1 − r)

5 (1 − r) = r (1 − r⁴⁰)

5 − 5r = r − r⁴¹

r⁴¹ − 6r + 5 = 0

Solving with a calculator, r ≈ 0.8334.

Therefore:

(1 + i)⁻¹ = 0.8334

1 + i = 1.200

i = 0.200

The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.

What does a estimate mean?

A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.

What is an illustration of an estimate?

To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.

For 2/3, on dividing we get the value as 0.67.

Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.

Since it is a number without a fractional component, the approximation of 0 also is 0.

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The value of h(-3) given that h(x)=-x+5 is 8.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign. It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

In this case, h(x) =-x+5

There h(-3) will be gotten by substituting -3 into x. This will be:

h(x)=-x+5

h(-3) = -(-3) + 5

h(-3) = 3 + 5

h(-3) = 8

Therefore, the value is 8.

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As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Shuttles A and B will leave the station together for the second time after 40 minutes

Given the following

Shuttles A and B will leave the station together for the second time at;

Looking for the LCM of 8 and 10

8  = 2 * 2 * 2

10 = 2 * 5

LCM = 2 * 2 * 2 * 5

LCM = 8 * 5

LCM = 40 minutes

Hence Shuttles A and B will leave the station together for the second time after 40 minutes

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Answer:

for this we need 90 percent 5410

so we multiply 5410*0.9=4869

Hope This Helps!!!

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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The value of P(x=1) from the given discrete data is 0.5.

From the given data

Let P(x=2)=x

p+p+x=1

x=1-2p

E(x²)=∑PiXi²=P(0)²+p(1)²+(1-2p)(2)²

= 0+p+(1-2p)4

= 4-7p

E(x)=∑PiXi=P(0)+P(1)(1-2p)(2)

= 0+p+2-4p

= 2-3p

Given that, E(x²)=E(x)

4-7p=2-3p

4p=2

p=0.5

Therefore, the value of P(x=1) from the given discrete data is 0.5.

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Answer:12-14

Step-by-step explanation:

The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

In a geometric sequence,

The third term is 100 and the eighth term is 3.125.

Now,

We know that;

The nth term of geometric sequence is,

⇒ \(T_{n} = a r^{n - 1}\)

Hence, The third term is;

⇒ \(T_{3} = a r^{3 - 1} = 100\)

⇒ \(a r^{2} = 100\)   ..(i)

And, The eighth term is,

⇒ \(T_{8} = a r^{8 - 1} = 3.125\)

⇒ \(a r^{7} = 3.125\)   ..(ii)

Divide equation (ii) by (i), we get;

⇒ ar⁷ / ar² = 3.125/100

⇒ r⁷ / r² = 3125 / 100000

⇒ r⁷⁻² = 3125 / 100000

⇒ r⁵ = 3125 / 100000

⇒ r = 5/10

Thus, The common ratio of a geometric sequence will be;

⇒ r = 5 / 10

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