Alyssa opens a savings account with $6. She saves $5 each week. The table Represents her account balance. Decide whether the table represents a linear function or a non linear function. ​

Answer:

180 degrees

Step-by-step explanation:

Answer:

180 °

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

The probability that the customer finds exactly one defective light bulb among the eight purchased is approximately 0.042 or 4.2%.

Step-by-step explanation:

To find the probability that the customer finds exactly one defective light bulb among the eight they purchased, we can use the formula for combinations and probability.

1. Calculate the number of ways to choose one defective light bulb and seven non-defective light bulbs: -

Number of ways to choose 1 defective light bulb:

C(5,1) = 5! / (1! * (5-1)!) = 5

Number of ways to choose 7 non-defective light bulbs:

C(45,7) = 45! / (7! * (45-7)!) = 453,024

2. Multiply the number of ways together: -

5 (number of ways to choose 1 defective) * 453,024 (number of ways to choose 7 non-defective) = 2,265,120 (total ways to choose exactly 1 defective and 7 non-defective light bulbs)

3. Calculate the total possible ways to choose any 8 light bulbs from the 50 available: - C(50,8) = 50! / (8! * (50-8)!) = 53,907,800

4. Divide the favorable outcomes (exactly 1 defective and 7 non-defective) by the total possible outcomes: -

Probability = 2,265,120 (favorable outcomes) / 53,907,800 (total outcomes) ≈ 0.042

Therefore, the probability that the customer finds exactly one defective light bulb among the eight purchased is approximately 0.042 or 4.2%.

Know more about combinations and probability,

https://brainly.com/question/31131965

#SPJ11

Total amount of water before it was drained will be 510 gallons.

"It is a ratio in which the two terms being compared have different units."

For given question,

We have been given  a table for  the number of gallons of water left in the tank after being drained for two amounts of time.

First we find the rate at which the water was drained from the tank.

\(r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes\)

Let the amount of water in the tank before it was drained = 'x' gallons

And the initial time = 0

Using the rate formula,

\(r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons\)

Therefore, total amount of water before it was drained will be 510 gallons.

Learn more about rate here:

https://brainly.com/question/23634231

#SPJ2

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

Learn more about equalize here:

https://brainly.com/question/33293967

#SPJ11

Answer:

The bake sale raised $412.35

Step-by-step explanation:

* Lets explain how to solve the problem

- A local Charity receives 1/3 of funds raised during a craft fair and

bake sale

∴ The total amount given to the charity = 1/3 × the funds raised during

 a craft fair and bake sale

- The total amount given to the charity was $137.45

∴ The 1/3 of of funds raised during a craft fair and bake sale is $137.45

- Lets substitute the The total amount given to the charity in the

equation above to find the funds raised during the bake sale

∴ 137.45 = 1/3 × the funds raised during the bake sale

- Multiply the both sides by 3

∴ 3 × 137.45 = the funds raised during the bake sale

∴ The funds raised during the bake sale = 412.35

* The bake sale raised $412.35

Answer:

Lennon's account was credited with $54.44.

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

Formula: =SUMPRODUCT($A$1:$C$1,A2:C2)

Required

Determine the numerical value that will appear

The question seem incomplete; however, I'll give a general explanation

FIrst, when the formula is copied from C5 to C6, A2 and C2 changes to A3 and C3 respectively.

This is because they are relative references and they behave on a relative position.

This implies that, when the formula is in cell C5, the formula considers cells A2 and C2 when executing the formula;

However, C6 will consider cells A3 and C3, respectively.

Step-by-step explanation:

2x + 6=2(x+3)

2x+6=2x+6

4x=0

x=0/4

No answer/no solution

2x + 6 = 2(x+3)

2x + 6 =2x+6

2x-2x=6-6

x=0

I guess I was help full for u

Answer:

Step-by-step explanation:

Option 1

Option 2

Aaron is is wrong, the second option is not better

Answer:

1.7

Step-by-step explanation:

To find the distance between two coordinates, use the formula \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\).

y2 = 4, y1 = 9, x2 = -1, x1 = 2

Insert the values into the equation:

\(\frac{4-9}{-1-2}\)

Simplify:

\(\frac{4-9}{-1-2}= \frac{-5}{-3}=\frac{5}{3}\)\(\frac{}{} =1.7\)

The distance between (2, 9) and (-1, 4), rounded to the nearest 10th, is 1.7.

Have a nice day!

Answer:

Domain: \(t \geq 0\)

Range: \(v \geq 550\)

Step-by-step explanation:

Given

\(v = 550 + 16.5t\)

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

\(t \geq 0\)

Solving for Range:

We solved domain to be \(t \geq 0\)

This implies that the minimum value of t is \(t = 0\) and the maximum is infinity

Substitute 0 for t in \(v = 550 + 16.5t\)

\(v = 550 + 16.5(0)\)

\(v = 550 + 0\)

\(v = 550\)

Hence;

The range is \(v \geq 550\)

Answer:

1% of 100 = 1

Step-by-step explanation:

simple and easy :D hope this helps

We will see that the parabola must open downwards, then the value of c must be negative, and thus, the correct option is A, c = -8.

The general quadratic equation is written as:

y = a*x^2 + b*x + c

Where a is the leading coefficient, and it defines if the parabola opens up or down, depending on its sign.

And we know that we have two real solutions, so the discriminant (4*a*c in the general equation) must be positive.

Then:

4*a*c> 0

Now, notice that the vertex of the parabola is above the x-axis, then the parabola only will intercept the x-axis if it opens downwards, then a must be negative.

Then the value of c also must be negative, due to the above inequality.

Then the only option that could be the value of c is option A, c = -8.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`

Answer: `10x⁶`.

The given function is `f(x) = x⁶ sin(10x⁵)`. We need to find the Taylor series of `f` centered at `0` (Maclaurin series of `f`).

Formula used: The Maclaurin series for `f(x)` is given by `f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3 + ...... + (f^n(0)/n!)x^n`.

Here, `f(0) = 0` because `sin(0) = 0`.

Differentiating `f(x)` and its derivatives at `x = 0`:`f(x) = x⁶ sin(10x⁵)`

First derivative: `f'(x) = 6x⁵ sin(10x⁵) + 50x¹⁰ cos(10x⁵)`

Differentiate `f'(x)`

Second derivative: `f''(x) = 30x⁴ sin(10x⁵) + 200x⁹ cos(10x⁵) - 250x¹⁰ sin(10x⁵)`

Differentiate `f''(x)`

Third derivative: `f'''(x) = 120x³ sin(10x⁵) + 1800x⁸ cos(10x⁵) - 2500x⁹ sin(10x⁵) - 5000x²⁰ cos(10x⁵)`

Differentiate `f'''(x)`

Fourth derivative: `f⁴(x) = 360x² sin(10x⁵) + 7200x⁷ cos(10x⁵) - 22500x⁸ sin(10x⁵) - 100000x¹⁹ cos(10x⁵) + 100000x²⁰ sin(10x⁵)`

Differentiate `f⁴(x)`

Fifth derivative: `f⁵(x) = 720x sin(10x⁵) + 36000x⁶ cos(10x⁵) - 112500x⁷ sin(10x⁵) - 1900000x¹⁸ cos(10x⁵) + 2000000x¹⁹ sin(10x⁵)`

Differentiate `f⁵(x)`

Sixth derivative: `f⁶(x) = 7200 cos(10x⁵) - 562500x⁶ cos(10x⁵) + 13300000x¹⁷ sin(10x⁵)`

Evaluate at `x = 0`:

The derivatives of `f(x)` evaluated at `x = 0` are:f(0) = 0f'(0) = 0f''(0) = 0f'''(0) = 0f⁴(0) = 0f⁵(0) = 0f⁶(0) = 7200

Maclaurin series of `f(x)` is given by:f(x) = `f(0)` + `f'(0)x` + `(f''(0)/2!) x²` + `(f'''(0)/3!) x³` + `(f⁴(0)/4!) x⁴` + `(f⁵(0)/5!) x⁵` + `(f⁶(0)/6!) x⁶` = `0 + 0x + 0x² + 0x³ + 0x⁴ + 0x⁵ + (7200/6!)x⁶` = `10x⁶`

Answer: `10x⁶`.

Know more about Maclaurin series   here:

https://brainly.com/question/28170689

#SPJ11

Answer:

PT = 11

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other. So, QS cuts PR in half so that PT = TR

PT + TR = PR = 22

2 * PT = 22

PT = 11

Answer:

PT = 11

Step-by-step explanation:

Theorem:  The diagonals of a parallelogram bisect each other.

So, if PR = 22, then PT = 11

See how easy that is if you know the theorem.

10π feet of the border material will be needed to go around the flower bed

Circumference of the circle: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure

it is given in the question that a gardener is creating a circular flower bed with a diameter of 10 feet in his yard.

which means diameter, d=10 feet

A flexible rubber border material will be used to go around the flower bed

we need to find the circumference of the circle in order to find how many feet of the border material will be needed

Circumference of the circle= 2πr (if radius is given)

                                            = πd (if diameter is given)

                                              (but we know diameter=2radius)

substitute the given values in the circumference formula,

which is equal to = π(10)

                            = 10π feet

10π feet of the border material will be needed to go around the flower bed

Option c is correct

to learn more about circumference of the circle visit:

brainly.com/question/17009295

#SPJ1

All the solutions to the recurrence relation are derived below. And the general solution will be given below.

\(\rm a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)

A Volterra integral expression of the second sort for the thickness of a piezoelectric coating on the surface is obtained by solving an auxiliary question in the abdomen and pelvis.

The equation is given below.

\(\rm a _n = 5a_{n-1} - 6a _{a-2} + 2^n + 3n\)

Then the equation associated with a homogeneous linear recurrence relation, then we have

\(\rm a _n - 5a_{n-1} + 6a _{a-2} = 0\)

The relative equation will be

r² - 5r + 6 = 0

On solving, we have

r = 2, 3

Then we have

\(\rm a_n^h = \alpha _1 2^n + \alpha _2 3^n\)

Let a suitable coefficient C such that \(C\cdot 2^n = a_n^{p_1}\)

Then replace this in the recurrence relation, then we have

\(\rm C\cdot 2^n = 5C \cdot 2^{n-1} - 6C \cdot 2^{n -2}\)

Let

\(a_n^{p_1} = b \cdot n \cdot 2^n\\\\a_n^{p_1} = -2n \cdot 2^n\)

Then we have

dn + e = {d(n - 1) + e} - 6 {d(n - 2) + e} + 3n

dn + e = (-d + 3)n + (7d - e)

In comparing we have

d = -d + 3

d = 3/2

and

7d - e = e

e = 21/4

Then the recurrence relation can be written as

\(\rm a_n^{p_1} = \dfrac{3}{2}n + \dfrac{21}{4}\)

Then the general solution will be

\(\rm a_n = a_n ^{h} + a_n ^{p_1} +a_n ^{p_2} \\\\a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)

More about the auxiliary solution link is given below.

https://brainly.com/question/18521479

#SPJ4

Answer:

Purchase rate of the house is $480000.

Step-by-step explanation:

Let the purchase rate of the house = $p

Current value of the house = $648000

If the current rate of the house has increased by 35% of the purchase rate,

Current rate = Purchase rate +  35% of the purchase rate

648000 = p + (35% of p)

648000 = p + \(p\times \frac{35}{100}\)

648000 = p + 0.35p

648000 = (1.35)p

p = \(\frac{648000}{1.35}\)

p = $480000

Therefore, purchase rate of the house is $480000.

Given that Salma, Jim, and Dante served a total of 130 orders on Monday at the school cafeteria. Salma served 10 more orders than Jim, and Dante served 4 times as many orders as Jim.

Let the number of orders that Jim served be x. Therefore, Salma served 10 more orders than Jim, which means Salma served x + 10 orders. And Dante served 4 times as many orders as Jim, which means Dante served 4x orders. Total orders = 130

Therefore, we can write an equation: x + x + 10 + 4x = 1306x + 10

= 1306x

= 130 - 10

= 120x

= 120/6

= 20

Therefore, Jim served 20 orders. Salma served 10 more orders than Jim, which means Salma served x + 10 orders = 20 + 10 = 30 orders. And Dante served 4 times as many orders as Jim, which means Dante served 4x orders = 4 × 20 = 80 orders. Hence, Jim served 20 orders. Salma served 30 orders. And Dante served 80 orders.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

Answer: 2.5

Step-by-step explanation:

A negative of a negative is a positive.

Answer:

2.5

Step-by-step explanation:

Just make everything inside the parentheses opposite of what it is

-2.5 becomes 2.5 because double negative

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

Learn more about significant digits

brainly.com/question/29055736

#SPJ11

Answer:

16x⁸y²

Step-by-step explanation:

Answer:

16x^8y^2

Step-by-step explanation:

what you do is simplify the expression

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

To learn more about the integration visit:

brainly.com/question/30094386

#SPJ4

Answer:

Step-by-step explanation:

Given dimensions

Rectangle:

Circle:

Find the area of the rectangle:

Find the area of circles:

Find the difference:

Length of rectangle

Area of rectangle.

Arew of two circles.

Area of shaded region

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = \(\frac{opposite}{hypotenuse}\) = \(\frac{h}{22}\) ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

Answer:

30

Step-by-step explanation:

Answer:

72-42=30

the correct answer is 30

(((((can you give me the crown please i need a crown)))))

The fraction that Brian can iron in a minute is 5/81.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. It should be noted that in a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.

(2/9) / (18/5) = x / 1

Cross multiply

2/9 = (18/5)x

Multiply both sides by 5/81 to solve for x.

x = 10/162

In this case, it should be noted that we can reduce 10/162 to the lowest term. This will be 5/81

The clothes that Brian can iron will be 5/81.

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ1

Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute

Answer:

c is the best answer in my mind