what are the lengths or each side? ​

Answer:

# of appointments is 3

Step-by-step explanation:

He makes $75 per appointment, which means this immediate value is directly dependent on the number of appointments (x). So it can be given by 75x.

Tips are simply added, tips are not directly dependent on the number of visits as customers will tip differently so we can add $40 to the equation.

Now we must negate the expenses, each appointment there is a fee of $10. So it can be given as 10x.

We know that this all must equal $235.

So the equation is as follows:

235 = (75x)+40-(10x)

Simplifying we get

235 = 65x + 40

195 = 65x

195/65 = x

x = 3

Therefore, Logan had 3 appointments.

The expression 4^n+3 x 16^n - 8^3n cannot be solved for n

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

4^n+3 x 16^n - 8^3n

The question implies that we solve for n

This in other words mean that we determine the solution for n

The given parameter is an expression (not an equation or an inequality)

To solve for a variable, the given parameter must be an equation or an inequality

Hence, the value of n cannot be determined or it has infinite many solutions

Read mroe about expression at

https://brainly.com/question/15775046

#SPJ1

The probability that a person responded Yes or was under the Age of 55 was C. 57 %

The probability that a person who responded either said yes or was under the Age of 55 is:

= Probability that a person answers yes + probability that a person is under 55 - Probability that a person was under 55 and answered yes

The probability a person who responded either said yes or was under the Age of 55 is therefore:

= ( 25 / 103 ) + ( 59 / 103 ) - 17 / 103

= 57 %

Find out more on probability at https://brainly.com/question/24940344

#SPJ1

Answer:

y = 2ˣ

Step-by-step explanation:

Since, the question asked which function is best represented by the graph and the function given are:

y = 0.5ˣ

y = 2ˣ

y = 3ˣ

y = 2 * 0.25 ˣ

We can graph each of them to see which is the answer.

Base on the graph below we can see that;

the function that represents the graph is  y = 2ˣ

RevyBreeze

The length of the base, x, of the larger flag is 6.25 ft.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

The two flags are similar using the AA criteria.

Thus, the ratio of the segments of the two triangle are equal.

4/5 = 5/x

4x = 25

x = 25/4

x = 6.25 ft

Hence, the length of the base, x, of the larger flag is 6.25 ft.

Learn more about similar triangles here:

https://brainly.com/question/29731302

#SPJ1

There are 2002 groups of 5 people that can answer the 5 phone lines.

This is a combination problem, because we want to choose groups of 5 people from a group of 14, and the order in which we choose the people does not matter.

The formula for the number of combinations of n objects taken r at a time is:

C(n,r) = n! / (r! * (n-r)!)

In this case, we want to choose 5 people out of a group of 14, so we can plug those values into the formula:

C(14,5) = 14! / (5! * (14-5)!)

Simplifying the factorial terms:

C(14,5) = (1413121110) / (54321)

C(14,5) = 2002

Therefore, there are 2002 groups of 5 people that can answer the 5 phone lines.

To learn more about combinations:

https://brainly.com/question/14305145

#SPJ4

Answer:Twerk

Step-by-step explanation:Twerk

Answer:

If a = -8 and b = -1 there is exactly one solution to the equation

Step-by-step explanation:

I was unable to find the other one...

Are you sure there are two possible solutions, or did you forget to include one of the options...?

Answer:

Step-by-step explanation:

To calculate the final account balance for a savings account with an initial deposit of $5,460.75, compounded semiannually with an interest rate of 3.92%, for 51 months, we need to use the formula:

A = P * (1 + r/n)^(nt)

where A is the final account balance, P is the initial deposit, r is the interest rate (as a decimal), n is the number of times the interest is compounded in a year, t is the number of years, and nt is the number of compounding periods.

In this case, n = 2 (since the interest is compounded semiannually), r = 3.92%/100 = 0.0392, t = 51 months / 12 months/year = 4.25 years, and nt = 2 * 4.25 = 8.5.

Substituting the values into the formula, we get:

A = $5,460.75 * (1 + 0.0392/2) ^ (8.5)

A = $5,460.75 * 1.0196^8.5

A = $5,460.75 * 1.2408

A = $6790.32

So, the final account balance if the initial deposit is invested with interest compounded semiannually is $6790.32.

B) Comparing the final account balance of the simple interest account and the compound interest account, we can see that the compound interest account yields a higher balance ($6790.32) than the simple interest account ($6370.51). This is because compounding interest allows for the interest earned in one period to be reinvested, so the interest earns interest in future periods, which increases the overall amount of interest earned over time. In contrast, simple interest is calculated only on the initial deposit, so the amount of interest earned remains constant over time.

The area of Norway's is 24% more than the area of Colorado.So, the area of Colorado is approximately 260,449 square kilometers.

What is Area?

Area is a measurement of the amount of two-dimensional space occupied by a surface or an object. In mathematics, area is a scalar quantity that describes the size of a region in a plane. The units of area are typically square units, such as square meters, square centimeters, square inches, etc.

The formula for the area of a shape depends on the shape itself. For example, the area of a rectangle is equal to its length multiplied by its width, while the area of a circle is equal to π times the square of its radius. Other common shapes and their area formulas include triangles, parallelograms, and trapezoids.

Let's call the area of Colorado "x". If Norway's area is 24% more than Colorado, then Norway's area can be represented as x + 0.24x = 1.24x.

To find the area of Colorado, we can set up an equation:

1.24x = area of Norway

x = area of Norway / 1.24

The area of Norway is 323,802 square kilometers. Therefore, the area of Colorado can be calculated as:

x = 323,802 / 1.24

x = 260,449 square kilometers

So, the area of Colorado is approximately 260,449 square kilometers.

Learn more about area click here:

https://brainly.com/question/2607596

#SPJ1

Answer: y= -1

Step-by-step explanation:

1) Distribute the 4 to the y and the -6 to get 4y-24, so our new equation is -36= 8y+4y-24.

2) Add like terms 8y and 4y to get 12y. Our new equation is -36=12y-24.

3) Remove the constant -24 by adding 24 to both sides to get -12=12y.

4) Remove the coefficient 12 by dividing 12 on both sides to get y= -1  

Area of a circular swimming pool is 154m², So radius of the circular swimming pool is approximately 7.88 meters

The area of a circle is given by the formula:

A = πr²

where A is the area, r is the radius, and π is a mathematical constant approximately equal to 3.14.

We are given the area of the circular swimming pool as 154m². So we can set up the equation:

154 = πr²

Solving for r, we get:

r = √(154/π) ≈ 7.88 m

Hence,

The radius of the circular swimming pool is approximately 7.88 meters.

Learn more of Radius of circle here brainly.com/question/28946570

#SPJ4

According to the information, the area of this quadrilateral, trapezoid is 42 cm.

To calculate the area of the figure we must first graph it. Once we have found its shape we must identify what type of quadrilateral it is, in this case we can affirm that it is a right trapezoid.

On the other hand, to calculate its area we must divide the figure in two, one part would be the quadrilateral and the other the triangle. So we need to find the area of both shapes and then add them.

So the total area would be 42cm²

Learn more about area in: https://brainly.com/question/27683633

#SPJ1

No, I do not agree with Bard. The area of the given circle is 12.56 unit²and, not 3.5 unit² which Bard claims to be.

What is a circle?

A circle is a shape made up of all points in a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.

From the figure, we can see that the radius of the circle, the distance from the centre of the circle to the boundary is 2 units.

The area of the circle = πr²

where π is a constant with an approximate value of 3.14 and r is the radius of the circle.

Now substituting the value of r of the given circle in the area equation, we get,

the area of given circle = π * 2² = 3.14 * 4 = 12.56 unit²

Therefore the area of the given circle is 12.56 unit²and, not 3.5 unit² which Bard claims to be.

To learn more about circles, follow the link.

https://brainly.com/question/26594685

#SPJ1

Answer:

5

Step-by-step explanation:

5.4772

To round to the nearest whole number, look at the number to the right of it (4)     if     5 or greater round the 5 up to '6'    o/w   leave it as '5'

The measure of the other angle of the parallelogram is 22 degrees.

Opposite angles of a parallelogram are equal (or congruent).

Let the missing angle be represented by x.

Since the opposite angles of a parallelogram are equal (or congruent).

x = 2x - 22

Solve for x

2x - 22 = x

2x = 22 + x

2x - x = 22

x = 22°

Therefore, 22 degrees is the measure of the other angle.

Option C) 22° is the correct answer.

Learn more about parallelogram here: https://brainly.com/question/29147156

#SPJ1

All three cities have the same transformed sine wave, but with different amplitude, period, phase shift, and midline shift values.

A sine wave is a mathematical function that depicts an oscillation that is smooth and repeated. It exists in nature and is useful in many disciplines of research and engineering. It is also employed in a variety of electrical signals, including alternating current (AC).

In the given question,

City 1: Miami

f(x) = 0.48 sin(0.27(x-1.5)) + 0.77

The parent function f(x) = sin(x) has been transformed in several ways, such as the amplitude being changed from 1 to 0.48, the period being changed from 2π to 0.27π, the phase shift being changed from 0 to 1.5, and the midline being shifted up by 0.77. This means that the function is shifted up from the midline of the parent function.

City 2: Honolulu

f(x) = 0.24 sin(0.13(x+1.25)) + 0.86

The parent function f(x) = sin(x) has been transformed in several ways, such as the amplitude being changed from 1 to 0.24, the period being changed from 2π to 0.13π, the phase shift being changed from 0 to 1.25, the midline being shifted up by 0.86, meaning the function is shifted up from the midline of the parent function.

City 3: Austin

f(x) = 0.41 sin(0.21(x-1)) + 0.86

The parent function f(x) = sin(x) has been transformed in several ways, such as the amplitude being changed from 1 to 0.41, the period being changed from 2π to 0.21π, the phase shift being changed from 0 to 1, and the midline being shifted up by 0.86. This means that the function is shifted up from the midline of the parent function.

According to the data supplied, all three cities appear to have the same converted sine wave, but with distinct amplitude, period, phase shift, and midline shift values.

To know more about sine wave, visit

brainly.com/question/28517936

#SPJ1

Answer:

C) E=118°, T=118°

Step-by-step explanation:

The angles inside a quadrilateral (shape with four sides) always add to 360°. So this means:

W+E+S+T=360°

29°+E+95°+T=360°

E+T=360°-124°=236°

Note that the shape contains two congruent triangles (they share equal sides) ΔEWS and ΔTWS. This means their angles are the same so E=T

If E=T and E+T=236°, then E=T=236°/2=118°

Answer:

C) E-118°, T=118° is the answer

Danielle's sales last week were $. At her job at an electronics store, Danielle receives a  $4,295.16 commission on every sale.

What is an electronics store?

Let's start by first finding out how much commission Danielle earned last week. We know that her total earnings were $1,058.25 and her base salary was $725 per week. Therefore, her commission must have been:

                          $1,058.25 - $725 = $333.25

We also know that Danielle earns a 7.75% commission on everything she sells. Let's use "x" to represent her total sales last week. Then we can set up an equation to solve for x:

                                   0.0775x = $333.25

Solving for x, we get:

x = $333.25 / 0.0775

x = $4,295.16

Therefore, Danielle's sales last week were $4,295.16.

To learn more about electronics store refer to:

brainly.com/question/29860542

#SPJ1

The closest answer to initial value of the account is $538,021.66

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r  =  = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

[tex]PV = PMT[(1 - (1 / ( 1 + r)^n)) / n][/tex]

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives,[tex]PV = PMT[(1 - (1 / ( 1 + r)^n)) / n]= 4567[1 - (1 / 1.00253^40)) / 0.00253][/tex]

= 4567[(1 - 0.70254) / 0.00253]

= 4567[117.80636]

= $538,021.66

So, the closest answer to initial value of the account is $538,021.66

Learn more about banking at:

brainly.com/question/29616806

#SPJ1

The worm is travelling at a speed of 0.0018 meter per second.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Total distance travelled by the worm = 1.3 m

The worm starts moving at 9 hour 12 minutes and reaches the end of the path at 9 hour 24 minutes.

Total time taken = 24 - 12 = 12 minutes

Speed = Distance / Time

Speed = 1.3 / 12

           = 0.1083 meter / minute

           = 0.0018 meter per second

Hence speed of the worm is 0.0018 meter per second.

Learn more about Speed here :

https://brainly.com/question/13680494

#SPJ9

Answer:

17

Step-by-step explanation:

jdjieieiieieieieieie

Answer:

f(-3)=4

Step-by-step explanation:

The answer is 4. To get f(-3), you must plug in -3 into the x.

Therefore, -4(-3)-8=f(-3).

Then you multiply -4 and -3. 12-8=f(-3)

Finally, you subtract 8 and get the answer:

f(-3)=4

The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

What is a unit?

Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:

The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:

Length - meter (m)

Time - second (s)

Amount of substance - mole (mole)

Electric current - ampere (A)

Temperature - kelvin (K)

Luminous intensity - candela (cd)

Mass - kilogram (kg)

Now,

As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5

there are always 10 vertical lines which represents a millimeter

and 10 lines means 10 millimeter.

hence,

          The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.

To know more about units visit the link

https://brainly.com/question/96060?referrer=searchResults

#SPJ1

The degree of a vertex represents the number of other actors or actresses that an actor or actress has worked with in movies.

The neighborhood of a vertex represents the set of actors or actresses that an actor or actress has worked with in movies.

Isolated vertices represent actors or actresses who have not worked with any other actors or actresses in any movie, while pendant vertices represent actors or actresses who have only appeared in one movie with another actor or actress in the Hollywood graph.

The Hollywood graph is an undirected graph because the relationship between actors and actresses is mutual.

Each vertex in this graph represents an actor or actress, and the degree of a vertex represents the number of other actors or actresses that they have worked with in movies. In other words, the degree of a vertex represents the number of edges that are connected to that vertex.

The neighborhood of a vertex in a graph refers to the set of all vertices that are adjacent to it. In the context of the Hollywood graph, the neighborhood of a vertex represents the set of actors or actresses that a particular actor or actress has worked with in movies.

An isolated vertex in a graph is a vertex that has no edges connected to it. In the context of the Hollywood graph, an isolated vertex represents an actor or actress who has not worked with any other actors or actresses in any movie.

A pendant vertex in a graph is a vertex that has only one edge connected to it. In the context of the Hollywood graph, a pendant vertex represents an actor or actress who has only appeared in one movie with another actor or actress in the Hollywood graph.

To know more about graph here.

https://brainly.com/question/17267403

#SPJ4

The triangles ΔIGH and ΔGFE are similar triangles. So, GJ / GE = HG / FG, then the side FE is parallel to the side HI.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the corresponding sides will be constant then the triangles will be similar triangles and the third sides of the triangles will be parallel.

GJ / GH = GK / GI, then the side KJ is parallel to the side HI.

In triangles ΔIGH and ΔGFE, then we have

∠IGH = ∠FGE        (Vertival angle)

∠1 = ∠2                         (Given)

Then the triangles ΔIGH and ΔGFE are similar triangles. Then we have

GJ / GE = HG / FG, then the side FE is parallel to the side HI.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ9

The dot product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex]  in terms of the positive scalar quantities a, b, c, and d is:

[tex]\vec{A}.\vec{B}=-ab[/tex]

The scalar product of two vectors [tex]\vec{A}[/tex] and [tex]\vec{B}[/tex] is given by the formula:

[tex]\vec{A}.\vec{B}=(a_1*b_1) + (a_2*b_2) + (a_3*b_3)[/tex]

Where a₁, a₂, and a₃ are the components of vector [tex]\vec{A}[/tex] and b₁, b₂, and b₃ are the components of vector [tex]\vec{B}[/tex].

In this case, vector A = (ai - bk) and vector B = (- cj + dk), so the components of vector A are a₁ = a, a₂ = 0, and a₃ = -b, and the components of vector B are b₁ = 0, b₂ = -c, and b₃ = d.

Plugging these values into the formula for the dot product, we get:

[tex]\vec{A}.\vec{B}=(a*0) + (0*-c) + (-d*b)\\\\\vec{A}.\vec{B}= 0 + 0 + (-bd) \\\\\vec{A}.\vec{B}=-bd[/tex]

More information on the scalar product here:

https://brainly.com/question/17401277

#SPJ11

The solution of the given system of linear equations is (1, -1)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given is a system of linear equations, x - 3y = 4 and y = -3x + 2, we need to find the point which is the solution of the system,

The linear equations are :-

x-3y = 4...(i)

y = -3x+2....(ii)

Put eq(ii) in eq(i)

x-3(-3x+2) = 4

x+9x-6 = 4

10x = 10

x = 1

Put x = 1 in eq(ii)

y = -3+2

y = -1

Therefore, the solution point is (1, -1)

We can find the solution point by graphing method also, we will plot the graph of the lines and the line where intersects is the solution point is (1, -1) [attached]

Hence, the solution of the given system of linear equations is (1, -1)

Learn more about linear equations, click;

https://brainly.com/question/29739212

#SPJ9

The complete question is (Multiple Choice Worth 2 points)

(Systems of Linear Equations MC)

Which point is a solution of the system of linear equations?

x - 3y = 4

y = -3x + 2

A) (9,0)

B) (-5, 8)

C) (1, 1)

D (1, -1)

y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

The slope intercept form of a line is

y = mx+b

where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point (-2,4) into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

Hence, y = 2/5x +24/5, is the equation  which represents a line that passes through (-2, 4) and has a slope of 2/5.

To learn more on Equation 0f Straight-Line click:

https://brainly.com/question/30216543

#SPJ9

The statement that is true is:

b.) A high correlation can indicate a relationship but cannot prove causation.

Correlation measures the strength and direction of the relationship between two variables, but it does not necessarily imply causation. A high correlation means that there is a strong linear relationship between the two variables, but it does not indicate whether one variable causes the other. There can be other factors that influence the relationship. Therefore, it is important to use other methods, such as experiments or observational studies, to determine causation. Correlation is useful for identifying associations between variables, but it cannot be used as evidence of a causal relationship.

Learn more about Correlation and causation here brainly.com/question/10971583

#SPJ4