Tara is making a necklace and decorating it with hand-painted designs and various beads. The necklace has four (4) sections that are 2 1/4 inches long and two (2) sections that are 5 1/2 inches long. What is the total length of the necklace?

Answer:

42 yds(squared)

Step-by-step explanation:

The big chunk is 5 tall (2+3) and 6 wide=30 yds and the smaller part is 4 long and 3 tall=12 yds so 12+30=42

Answer:

$150

Step-by-step explanation:

x + 0.08x = 162

1.08 x = 162

x = 150

The inn's nightly cost before the tax is added is $150.

Let's denote the inn's nightly cost before tax as "x." We are given that the inn charges $162 per night, including an 8% sales tax. This can be represented as an equation:

Total cost = Nightly cost before tax + Sales tax

$162 = x + 0.08x

Now, we can solve for "x":

$162 = 1.08x

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150.

We're asked to find the inn's nightly cost before the tax is added. Let's denote this cost as "x."

We are given that the total cost, including the 8% sales tax, is $162 per night. We can set up an equation using this information:

Total cost = Nightly cost before tax + Sales tax

Mathematically, this can be expressed as:

$162 = x + 0.08x

The 0.08x represents the 8% sales tax, which is 8% of the nightly cost before tax.

Now, we can combine the x terms on the right side of the equation:

$162 = 1.08x

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 1.08:

x = $162 / 1.08

x = $150

So, the inn's nightly cost before the tax is added is $150. This means that if there were no sales tax, the inn would charge $150 per night. The 8% sales tax is then added to this base cost to reach the total of $162.

To know more about Tax here

https://brainly.com/question/33580914

#SPJ3

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

for similar questions on area of the circle.

https://brainly.com/question/14068861

#SPJ8

The vector product of A and B is (2, -4, 2).

To find the vector product (also known as the cross product) of two vectors, use the formula:

A × B = (A₂B₃ - A₃B₂, A₃B₁ - A₁B₃, A₁B₂ - A₂B₁)

Let's calculate the vector product of A = (2, 1, 0) and B = (0, 1, 2)

A × B = (A₂B₃ - A₃B₂, A₃B₁ - A₁B₃, A₁B₂ - A₂B₁)

= (1 × 2 - 0 × 1, 0 × 0 - 2 × 2, 2 × 1 - 1 ×0)

= (2 - 0, 0 - 4, 2 - 0)

= (2, -4, 2)

To know more about vector here

https://brainly.com/question/24256726

#SPJ4

Answer:

C. 7⁷ × 2⁷

Step-by-step explanation:

The exponent is outside of the brackets, so we distribute the exponent to all the terms inside the brackets.

(7 × 2)⁷

7⁷ × 2⁷

Answer:

c. \(7^7\)· \(2^7\)

Step-by-step explanation:

please mark me brainliest!

Answer:

Student A

Step-by-step explanation:

Student a median: 33

Student b median: 32

student a

the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Jim Russell’s $1,500 deposit could earn $18.87 in 12 months in a savings account paying 1.25% daily interest. How much more interest could Jim earn in a 3-month CD that pays 3.26% simple interest every 3 months during the 12-month period? EXAMPLE 4Find the effective rate of interest to the nearest hundredth percent on $1,000 deposited in an account that pays 5% annualinterest, compounded quarterly. Use the compound interest table below to help woth the calculations.Find the difference between the deposit and the compound amount.4

The surface area of the triangular prism is: B. 72 sq. ft

Thus, given the triangular prism as shown in the diagram attached below, we have the following:

b = 4 ft

h = 3 ft

H = 5 ft

s1 + s2 + s3 = 3 + 4 + 5 = 12 ft

Surface area = 4×3 + (12)5 = 12 + 60 = 72

Therefore, the surface area of the triangular prism is: B. 72 sq. ft

Learn more about the surface area of triangular prism on:

https://brainly.com/question/16147227

Answer:

He would need 3/4 a gallon to paint the wall

Step-by-step explanation:

Answer:

Hope it helped you brainiest plz and thank you!!

Step-by-step explanation:

To reflect a figure means Reflections it over a line.

Answer:

To reflect a figure means flip it over a line.

Step-by-step explanation:

To reflect a figure means flip it over a line, it is like looking in a mirror, your reflection is flipped in the opposite direction.

From the calculation, the population density of the place is 800 people/\(mile^2\).

We know that we can be able to obtain the population density by the use of the formula;

Population density = Population of people/ Area of the place;

The area is obtained from;

Length = 30 miles

Width = 2/3 * 30 = 20 miles

Area of the city = 30 miles * 20 miles = 600 \(miles^2\)

Final population after the evacuation = 555,000 - 75,000

= 480,000

Then the population density = 480,000/600 \(miles^2\)

= 800 people/\(miles^2\)

Learn more about population density:https://brainly.com/question/1581160

#SPJ1

The height of the oblique pyramid is calculated as, 15 m.

The volume of an oblique pyramid is calculated using the formula that is expressed as:

Volume = 1/3 × area of the base × height.

In the image given that shows the oblique pyramid, the base is a square. Therefore, find the area of the base.

Area of the base of the = 5 × 5

Area of the base of the = 25 m²

This, we have the following:

Base area = 25 m²

Volume = 125 m³

Height = h = ?

Plug in the values:

125 = 1/3 × 25 × h

125 = 25h/3

3(125) = 25h

3(125)/25 = h

3(5) = h

h = 15 m

Therefore, the height is, 15 m.

Learn more about the oblique pyramid on:

https://brainly.com/question/16720281

#SPJ1

The vertical axis of the managerial grid measures​ concern for people, whereas the horizontal axis measures​ concern for production.

A managerial grid model is a self-assessment tool by which individuals and organizations can help identify a manager's or leader's style. The grid was originally developed by Robert R. Blake and Jane S. Mouton in the 1960s and has evolved in subsequent decades.

Based on the care for people and the concern for output, this model first identified five alternative leadership philosophies. Based on Theory Y, the ideal leadership stance in this approach. The grid hypothesis has always developed and changed.

Resilience was included as a new component and two more leadership philosophies were added to the theory. A new text, The Power to Change, was introduced to the grid management seminar in 1999.

To learn more about the managerial grid:

https://brainly.com/question/15737512

#SPJ4

Answer:

  (a)  15 -18i

Step-by-step explanation:

You want the simplified form of the expression -2i(5- i) + (17- 8i).

For many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.

  -2i(5- i) + (17- 8i) = -10i +2i² +17 -8i

  = -2 +17 +(-10 -8)i

  = 15 -18i

__

Additional comment

Your scientific or graphing calculator can probably help you evaluate such expressions.

Answer:

i think it is 7 i just looked it up but it might be accurate

any more help just ask :)

The random variation that occurs in any time series is called the irregular component.

The irregular component refers to the random fluctuations or unpredictable patterns that are observed in a time series. It represents the unexplained variability in the data that cannot be attributed to any identifiable pattern, such as seasonal patterns, cyclical effects, or trends. It is often characterized by short-term fluctuations that occur randomly and do not follow a specific pattern or trend.

Learn more about variation

brainly.com/question/17287798

#SPJ11

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

To know more about  equations   visit

https://brainly.com/question/14686792

#SPJ11

this equation is unanswerable, there is no way to find x.

Step-by-step explanation:

Its x- and y components are Ax = 20 m and Ay = 29 m

Since vector A has a magnitude 35 m positioned at 55° from the positive x-axis, its x-component Ax = 35cos55°

= 35 × 0.5736

= 20.1 m

≅ 20 m and

its y-component

Ay = 35sin55°

= 35 × 0.8192

= 28.7 m

≅ 29 m

So, its x- and y components are Ax = 20 m and Ay = 29 m

Learn mora bout components of a vector here:

https://brainly.com/question/3898328

Answer:

y = - \(\frac{28}{5}\)

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = \(\frac{k}{-4}\) ( multiply both sides by - 4 )

- 28 = k

y = \(\frac{-28}{x}\) ← equation of variation

When x = 5 , then

y = \(\frac{-28}{5}\) = - \(\frac{28}{5}\)

1.The staff at the clinic will be busy for 12 x 0.625 = 7.5 hours in a 12-hour time period.

2. The expected waiting time is 0.444 minutes.

3. A person is expected to spend 10 minutes in the clinic.

4.The two chairs in the waiting area should be enough to meet the 75% target.

1. To estimate the number of hours that the staff at the clinic are busy in a 12-hour time period, we need to calculate the average utilization of the server. The service rate is the reciprocal of the average service time, so u = 1/8 = 0.125 customers per minute. The arrival rate is given as 5 customers per hour, so λ = 5/60 = 0.0833 customers per minute. The utilization of the server is P(1), which can be calculated using the formula P(1) = (1-λ/u). Therefore, P(1) = 0.625, indicating that the server is busy 62.5% of the time.

2. To estimate the time a person coming to the clinic is expected to wait to get served after he/she arrives, we need to calculate the average waiting time in queue. The formula for the mean waiting time in queue is Ta = λ (u²+1)/(2u(1-u)), which equals to Ta = (0.0833 x (0.125²+1))/(2 x 0.125 x (1-0.125)) = 0.444 minutes.

3. To estimate the time a person is expected to spend in the clinic (including waiting and being served) after he/she arrives, we need to calculate the mean time in the system. The formula for mean time in the system is Ts = 1/(u-λ), which equals to Ts = 1/(0.125-0.0833) = 10 minutes.

4. To estimate if the two chairs in the waiting area are enough to meet the 75% target, we need to calculate the probability of having two or fewer people in the system, including the one being served and those waiting. P(0) = (1-λ/u) = 0.625, and P(1) = λ/u x P(0) = 0.208. Hence, the probability of having two or fewer people in the system is P(0) + P(1) + P(2) = 0.739. This means that 73.9% of the time, there will be two or fewer people in the system, which exceeds the target of 75%.

For such more questions on minutes

https://brainly.com/question/132244

#SPJ8

1) The value of x that would make m║n is; x = 13

2) The value of x that would make m║n is; x = 14

3)a) The angles are congruent by alternate interior angles postulate.

b) The angles are congruent by linear pairs postulate.

c) The angles are congruent by corresponding angles postulate.

When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

1) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;

2x + 12 = 38

2x = 38 - 12

2x = 26

x = 13

2) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;

3x + 41 = 8x - 29

8x - 3x = 41 + 29

5x = 70

x = 14

3) a) From definition of alternate interior angles, we can say that yes the angles are congruent by alternate interior angles postulate.

b) Linear pair of angles are formed when two lines intersect each other at a single point. Thus, the angles are supplementary and add up to 180° and they are congruent by linear pairs postulate.

c) The angles are congruent by corresponding angles postulate.

Read more about Corresponding Angles at; https://brainly.com/question/2009183

#SPJ1

a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

Learn more about strong induction

brainly.com/question/30692296

#SPJ4

An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

To get more information on efficiency click here:

https://brainly.com/question/30280642

#SPJ11

a) The given function is f(x) = x⁴ − 2x² + 3. We can find the local maxima and minima of the function using its first derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xIf f'(x) = 0, then x = 0 or x = ±1.

The critical values of f(x) are −1, 0, and 1.Therefore, the function has local maxima at x = ±1 and a local minimum at x = 0.b) We need to find the intervals of concavity and the inflection point of the given function.

To find the concavity, we will use the second derivative

:f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xf''(x) = 12x² − 4If f''(x) = 0, then x = ±sqrt(3/2).The critical values of f''(x) are −sqrt(3/2) and sqrt(3/2).

Therefore, the function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) To find the intervals on which the function is increasing or decreasing, we need to analyze the sign of the first derivative:

f(x) = x⁴ − 2x² + 3f'(x) = 4x³ − 4xThe function is decreasing on the interval (−∞, 0) and increasing on the intervals (0, 1) and (−1, ∞).

Thus, the function is increasing on (0, ∞) and decreasing on (−∞, 0).So, the intervals of increase are (0, ∞) and intervals of decrease are (−∞, 0).

Therefore, the simple answer is:

a) The function has a local maximum at x = ±1 and a local minimum at x = 0.

b) The function is concave upward on the intervals (−∞, −sqrt(3/2)) and (sqrt(3/2), ∞) and concave downward on the interval (−sqrt(3/2), sqrt(3/2)).

The inflection point of the function is at x = ±sqrt(3/2).c) The function is increasing on (0, ∞) and decreasing on (−∞, 0).

learn more about function here

https://brainly.com/question/11624077

#SPJ11

ANSWER:

A. Agree, because 6h-h can be factored as h(6-1) to simplify it.

STEP-BY-STEP EXPLANATION:

What we will do is operate the expression just like this:

Answer:

15/28

Step-by-step explanation: