Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for every 3 days of practice. Which equation can be used to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece?

m = 72 – 15d
m = 90 – 6d
m = 101 – 21d
m = 108 – 3d

As stated in the assertion The ladder will be able to climb up the building around 34.64 feet.

We can use the Pythagorean theorem to address this issue by referring to "height" and taking into account the 40-foot ladder that is situated 20 feet from the building's base. According to the theorem, the square root of the length of the hypotenuse, or side opposite the side with the right angle, in a right-angled triangle, is equal to the sum of each square of the lengths of each of the other two sides.

In this instance, the height of the ladder on the building serves as the hypotenuse, with the distance to the building's base serving as one of its sides. These sides should be labelled as follows:

The Ladder's hypotenuse measures 40 feet

- Side 1 is 20 feet away from the base.

Side 2 (height attained) equals h

The Pythagorean theorem yields the following result: 402 = 202 + h2.

1600 = 400 + h2 h2 = 1200 h 34.64 feet when h is solved for.

The ladder may therefore climb the building to a height of about 34.64 feet.

To know more about height visit

https://brainly.com/question/19129767

#SPJ11

Answer: 6 pack for 6.50

Step-by-step explanation: 6 x 1.25 is 7.50 which is more than 6.50

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

Learn more about function on:

https://brainly.com/question/7693326

#SPJ4

The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

To know more about Measure visit:

https://brainly.com/question/25716982

#SPJ1

The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

a=53

Step-by-step explanation:

\( \sin(45) = \frac{a}{53 \sqrt{2} } \\ \frac{ \sqrt{2} }{2} = \frac{a}{53 \sqrt{2} } \\ a = 53\)

I hope I helped you^_^

Answer:

a = 53

Step-by-step explanation:

This is a 45- 45- 90 triangle with sides in the ratio x : x : x\(\sqrt{2}\)

x are the legs and x\(\sqrt{2}\) the hypotenuse

Here x\(\sqrt{2}\) = 53\(\sqrt{2}\) , then x = 53

That is the leg a = 53

$$3000-$1200=$1800

take $1800÷$40=45

Answer:

y = \(-\frac{4}{3}\)x + 6

Step-by-step explanation:

y = mx + b

m: slope

b: y-intercept

y-intercept point on the graph is (0, 6) because it's the point that's on the y-axis.

Therefore, y-intercept is 6.

Slope: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Point A: (0, 6)

Point B: (4, -2)

Slope (m) = \(\frac{-2 - 6}{4 - -2}\)

\(m = \frac{-2 - 6}{4 +2}\)

\(m = \frac{-8}{6}\)

\(m = -\frac{4}{3}\)

y = \(-\frac{4}{3}\)x + 6

Hope this helped! <3

Step-by-step explanation:

It is true that Lindsay Bedford is paid a base hourly wage of $6.50 and an additional $0.45 for each cap she embroiders.

Lindsay Bedford's pay structure is designed to reward her for both her time worked and the quantity of caps she embroiders. The base hourly wage of $6.50 ensures that she receives a fixed amount for her time spent at work, regardless of the number of caps she embroiders.

In addition to the hourly wage, Lindsay receives an extra $0.45 for each cap she embroiders. This additional payment serves as an incentive for her to work efficiently and produce more embroidered caps, as her earnings increase with each cap she completes.

By combining the base hourly wage with the additional payment per cap, Lindsay's compensation reflects both her time-based contribution (hourly wage) and her productivity (embroidered caps). This pay structure encourages her to work efficiently and produce a high volume of embroidered caps, ultimately benefiting both her and the company.

To know more about hourly wage,

https://brainly.com/question/28456730

#SPJ11

\( \cos(x) = \frac{b}{h} = \frac{3.8}{6.2} \\ \cos(x) = 0.612 \\ x = \cos^ {- 1} (0.612) = 51 \degree\)

Answer:

x= 61 degrees

Step-by-step explanation:

1. To use trigonometry, you need to take into consideration SOH CAH and TOA. SOH is for sine, CAH is for cosine, and TOA is for tangent.

2. Figure out which one of these you can use. In this case, that would be CAH, which means you use cosine.

3. CAH means the cosine of x equals the adjacent over the hypotenuse. Adjacent is the value that is next to the angle. The hypotenuse is the value of the slant.

4. With that in mind, all you do is plug it into a calculator like so: 3.8/6.2

5. Lastly, you take that answer, move the decimal point up two places, and that's your answer.

Answer

He earned 35

Step-by-step explanation:

He earned 35 because if you multiply $7 with 5 hours it equals $35, therefore the answers is $35

Hope this helped ;)

We can conclude that ATER ≅ AVEC by the AAS congruence.

The congruence statement that proves ATER AVEC is the AAS (Angle-Angle-Side) congruence.

Given that m/R = m∠C and E is the midpoint of RC, we can establish the following:

∠TER ≅ ∠VEC (Angle equality due to vertical angles).

TE ≅ VE (Definition of midpoint).

RT ≅ VC (Given m/R = m∠C and E is the midpoint of RC).

By combining these pieces of information, we have two pairs of congruent angles (∠TER ≅ ∠VEC) and a pair of congruent sides (TE ≅ VE).

This satisfies the AAS congruence criterion.

For similar question on congruence.

https://brainly.com/question/3999145

#SPJ8

The expected value of the dog show for Shelly and King when prize of first place is $1200 with probability of winning is 15% is $180.

Prize of first place is equal to $1200

Probability of winning is equal to 15%

The expected value of an event is the sum of the products of the possible outcomes and their respective probabilities.

In this case, the event is King winning first place in the dog show, with a prize of $1200.

The probability of King winning is 15%, or 0.15.

This implies,

The expected value of the dog show for Shelly and King is,

= (Prize for first place) x (Probability of winning) + (Prize for not winning) x (Probability of not winning)

= ($1200) x (0.15) + ($0) x (0.85)

= $180

This means that if Shelly enters King in the dog show many times under the same conditions.

The average prize money she can expect to win over the long run is $180 per show.

Therefore, the expected value of the dog show for Shelly and King is $180.

learn more about expected value here

brainly.com/question/31477642

#SPJ1

Answer:

50 tickets with a meal and 20 tickets without a meal

Step-by-step explanation:

Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.

I will let x represent with a meal and y will represent without a meal

35x + 25y = 2250

x + y = 70

I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.

x - x + y = 70 - x

y = 70 - x

Now I will substitute in for y in the first equation and solve for x.

35x + 25(70 - x) = 2250

35x + 1750 - 25x = 2250

10x + 1750 = 2250

10x + 1750 - 1750 = 2250 - 1750

10x = 500

10x/10 = 500/10

x = 50

Now I will solve for y. I will use the original second equation and substitute 50 in for x.

x + y = 70

50 + y = 70

50 - 50 + y = 70 -50

y = 20

50 tickets with a meal and 20 tickets without a meal

Answer:

Step-by-step explanation:

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

Answer:

Your new points are (3,6) (3,3) and (6,3)

That means (3,6) is from (0,0) (lower left corner) - count 3 across then 6 up and make a point

(3,3) from lower left corner count 3 across then 3 up and make a point

(6,3) from lower left count 6 across then 3 up and make a point

Connect the points, the shape will match the other but it will be smaller

Answer:

Step-by-step explanation:

Center angle theorem:

∠ABC = (1/2)*∠AOC

∠ABC = \(\frac{56}{2}=28\)

Using the Central Limit Theorem, it is found that the sample proportion of people who voted in the 2014 elections is approximately normal, with mean of 0.36 and standard error of 0.0759.

In this problem:

Then:

\(\mu = p = 0.36\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.36(0.64)}{40}} = 0.0759\)

Hence, the distribution is approximately normal, with mean of 0.36 and standard error of 0.0759.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/16695444

Answer:

18.65%

Step-by-step explanation:

We know

The regular price of each song is $0.89

0.89 x 15 = $13.35

Using a special discount, you download 15 songs for $10.86

What is the percentage of the discount​?

We Take

13.35 - 10.86 = $2.49

Then we take

2.49 divided by 13.35, time 100 = 18.65%

So, the percent of the discount is 18.65%

Answer:

Johanna has 304 miles on her trip after traveling for 12 hours

Step-by-step explanation:

Here in this , we are interested in calculating the number of miles Johanna have left on her trip after driving for 12 hours.

To calculate the number of hours left, we simply make use of the given function. We make use of it by substituting the value of 12 for t in the given expression

Mathematically, the expression is given as;

F(t) = 1084 -65t

To know the number of miles left, we simply calculate f(12)

F(12) = 1084 -65(12)

F(12) = 1084 - 780

F(12) = 304

Answer:

11x-24

Step-by-step explanation:

All you have to do is add (3x-2)+(8x-22)=11x-24.

Answer:

RT = 20

Step-by-step explanation:

Since Y is the midpoint of RT , then

RY = YT , that is

3x - 2 = 8x - 22 ( subtract 8x from both sides )

- 5x - 2 = - 22 ( add 2 to both sides )

- 5x = - 20 ( divide both sides by - 5 )

x = 4

Then

RT = RY + YT = 3x - 2 + 8x - 22 = 11x - 24 , so

RT = 11(4) - 24 = 44 - 24 = 20

The optimal solution for the given linear programming problem using the Big-M method is x₁ = 4, x₂ = 2, with a maximum value of Z = 22.

To solve the given linear programming problem using the Big-M method, we first convert it into standard form by introducing slack, surplus, and artificial variables.

The objective function is to maximize Z = 4x₁ + 3x₂. The constraints are 2x₁ + x₂ ≥ 10, -3x₁ + 2x₂ ≤ 6, x₁ + x₂ ≥ 6, and x₁, x₂ ≥ 0.

We introduce slack variables s₁, s₂, and s₃ to convert the inequalities into equalities. The initial Big-M tableau is set up with the coefficients and variables, and the artificial variables are introduced to handle the inequalities. We set a large positive value (M) for the artificial variables' coefficients.

In the first iteration, we choose the most negative coefficient in the Z-row, which is -4 corresponding to x₁. We select the s₂-row as the pivot row since it has the minimum ratio of the RHS value (6) to the coefficient in the pivot column (-3). We perform row operations to make the pivot element 1 and other elements in the pivot column 0.

After multiple iterations, we find that the optimal solution is x₁ = 4, x₂ = 2, with a maximum value of Z = 22. This means that to maximize the objective function, x₁ should be set to 4 and x₂ should be set to 2, resulting in a maximum value of Z as 22." short

To know more about constraints visit -

brainly.com/question/33150163

#SPJ11

The Taylor series for the function f centered at 1 is given by f(x) = -1/40 + (1/180)(x - 1) - (1/400)(x - 1)^2 + ...

To find the Taylor series for the function f centered at 1, we need to express the function as a power series. The general form of a Taylor series is:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...

In this case, we are given the function f(n)(1), which represents the nth derivative of f evaluated at x = 1. Let's find the first few derivatives:

f(1)(x) = (-1)^1 (1!)/(5(1)(1 + 7))

= -1/40

f(2)(x) = (-1)^2 (2!)/(5(2)(2 + 7))

= 2/360

= 1/180

f(3)(x) = (-1)^3 (3!)/(5(3)(3 + 7))

= -6/1200

= -1/200

Based on these derivatives, we can construct the Taylor series for f centered at 1:

f(x) = f(1) + f'(1)(x - 1) + f''(1)(x - 1)^2/2! + f'''(1)(x - 1)^3/3! + ...

Plugging in the derivatives we found:

f(x) = -1/40 + (1/180)(x - 1) + (-1/200)(x - 1)^2/2! + ...

Simplifying the series:

f(x) = -1/40 + (1/180)(x - 1) - (1/400)(x - 1)^2 + ...

This is the Taylor series for f centered at 1. The series continues with higher order terms involving higher powers of (x - 1). Note that this is an infinite series that converges for values of x near 1.

It's important to mention that the accuracy of the Taylor series approximation depends on the number of terms included. As more terms are added, the approximation becomes more accurate. However, for practical purposes, it is often sufficient to use a limited number of terms based on the desired level of precision.

In summary, the Taylor series for the function f centered at 1 is given by:

f(x) = -1/40 + (1/180)(x - 1) - (1/400)(x - 1)^2 + ...

Learn more about Taylor series here

https://brainly.com/question/28168045

#SPJ11

Answer:

the second one

Step-by-step explanation:

05) is called alpha (α). If the probability (i.e., p-value) is less than alpha that we would obtain a sample mean this large or larger from the null population, we reject the null hypothesis and conclude that our sample was drawn from a different population with a sample mean larger than the null mean.

To express the degree angle measure (d) in terms of the radian measure (θ), you can use the following formula: d = (θ / 2π) × 360.

Here, θ represents the radian measure of the angle, and the formula converts it to the corresponding degree measure by finding what portion of a full rotation (2π radians) it is, and then multiplying that by 360 degrees.

The formula that expresses the degree angle measure of an angle, d, in terms of the radian measure of that angle, θ, is:

d = (θ * 180) / π

This formula takes advantage of the fact that a full rotation measures 2π radians or 360 degrees. So, we can find the degree measure of an angle by multiplying its radian measure by the conversion factor of 180/π. This gives us the degree measure as a function of the radian measure.

Learn more about radian measure here:

brainly.com/question/27236221

#SPJ11

Answer:

25

Step-by-step explanation:

you have to multiply

The Miller indices for the plane shown in the unit cell are (1,1,0).

The Miller indices are a set of integers used to describe the orientation of a crystal plane in a crystal lattice. The indices are calculated as the reciprocal of the fractional coordinates of the normal to the plane with respect to the lattice vectors.

The indices are expressed in a reduced form, with the greatest common divisor of the indices being 1. In this case, the plane has a normal that intersects the x and y axes of the unit cell at equal distances, hence the indices (1,1,0), which indicate that the plane is inclined towards the z-axis.

The minus sign is not needed as the Miller indices only describe the orientation of the plane and not its handedness.

To know more about Miller indices click on below link:

https://brainly.com/question/14616708#

#SPJ11