How much more profit does he earn selling 15 items than 5 items?

The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

\(\frac{2}{5}\)

Step-by-step explanation:

\(\frac{3}{5} *\frac{2}{3}\\=\frac{3*2}{5*3}\)

The 3 in the numerator and the 3 in the denominator cancel out

\(= \frac{2}{5}\)

I hope this helps!

Answer:

8 times

Step-by-step explanation:

715=1 2=615 3=515 4=415 5=315 6=215 7=115 8=15

Also 0=815.

Hey there! :)

Answer:

1124.8 J.

Step-by-step explanation:

Given:

Distance: 25 meters.

Force: 70 N.

Direction: 50° with the horizontal.

Start by calculating the magnitude of the vector:

cos (50) = |x| / 70

70 · cos (50) = |x|

Solve:

44.99 ≈ |x|

This is the magnitude. To calculate the amount of work done, simply multiply by the distance she pushed the wheelbarrow:

44.99 × 25 ≈ 1124.8 J.

Now we have to find,

the work in joules is Anne doing when she pushes the wheelbarrow 25 meters.

It is given that,

→ Distance = 25 m

→ Force = 70 N

→ Direction = 50° with the horizontal

Then calculate the vector magnitude,

→ cos (50) = x/70

→ x = 70 × cos (50)

→ x = 44.9951326783

→ x = 44.99

Now the magnitude is 44.99.

Then multiply the magnitude by the distance to find the work done,

→ 44.99 x 25

→ 1124.75

→ 1124.8 J

Hence, 1124.8 J is work done by Anne.

Answer:

The distance is √17.

Step-by-step explanation:

the step is provided in the image....

I hope it was helpful

Answer:

7/48

Step-by-step explanation:

First, you would find common denominator

1/12 + 1/16 = 1*4/12*4 + 1*3/16*3 = 4/48 + 3/48 = 7/48

or

Add 4/48 + 3/48 = 4+3/48= 7/48

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

x=6

Step-by-step explanation:

h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.

\(-20=-4x+4\)

\(-4\)               \(-4\)

---------------------

\(\frac{-24}{-4} =\frac{-4x}{-4}\)

\(6=x\)

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

Answer:

C 1/125

Step-by-step explanation:

5  ^−3

Calculate 5 to the power of −3 and get  

1/125

​

​

Answer:

Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

Step-by-step explanation:

Let \(x\) denote the number of rafts seating 3 people and \(y\) the number of rafts seating 5 people. The total number of rafts is 13, so \(x+y=13\). We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so \(3x+5y=53\).

It's always a good idea to put these equations under each other:

\(\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.\)

We can subtract the first equation three times from the second one to obtain \((3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7\)

Now, substitute this found value for \(y\) into \(x+y = 13\) and we see that \(x=6\). We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.

................... rafts

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Answer:

4x (x²+2)

Hope that helps

Answer:

4x(x+2x)

Step-by-step explanation:

There is no further explanations on it

Answer:

-225

Step-by-step explanation:

f(-5)= 3(-5)^2

f(-5)= -15^2

-225

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

The value of n of the equation of line is n = 5.25

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 0 )

Let the second point be Q ( 4 , -2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 0 + 2 ) / ( 3 - 4 )

m = -2

And , equation of line is y - y₁ = m ( x - x₁ )

Now , when y = -3

The value of the corresponding x value is closer between 4 and 6

x = 5.25

Hence , the equation of line is solved and x = 5.25

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Answer: 24 ft

Step-by-step explanation:

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer:

b

Step-by-step explanation:

a segment joining the midpoints of two sides of a triangle ( midsegment ) is half the length of the third side.

PQ is a midsegment of the triangle , then

PQ = \(\frac{1}{2}\) RT , that is

15x - 17 = \(\frac{1}{2}\) (23x - 6) ← multiply both sides by 2 to clear the fraction

30x - 34 = 23x - 6 ( subtract 23x from both sides )

7x - 34 = - 6 ( add 34 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Then

RT = 23x - 6 = 23(4) - 6 = 92 - 6 = 86

Answer:

Step-by-step explanation:

\(- \frac{1}{3} (9x + 42) - 5x = - 70\)

Multiply the terms in the bracket

We have

- 3x - 14 - 5x = - 70

- 8x - 14 = - 70

Using the addition property, add 14 to both sides

That's

- 8x + 14 - 14 = - 70 + 14

- 8x = - 56

Divide both sides by - 8

That's

We have the final answer as

Hope this helps you

Answer:

y = 480 + 1.5 (x-40)

Step-by-step explanation:

sometimes its better to answer the question and make the formula from that

40 x 12 = 480

1.5 for overtime

x

y = 480 + 1.5 (x-40)

Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles \(\triangle\)ABC and

\(\triangle\)ABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

∠B≅∠E

Please have a look at the attached figure for \(\triangle\)ABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

\(\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3\)

So, value of m = 3.

Answer:

y-10

Step-by-step explanation:

The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.

An angle bisector divided an angle into two equal halves.

From the diagram:

Line BD divides angle ABC into two equal halves.

Angle ABD = ( 3x - 7 ) degrees

Angle DBC = 20 degrees

Since angle ABD and DBC are equal haves;

Angle ABD = Angle DBC

Plug in the values:

( 3x - 7 ) = 20

Solve for x:

3x - 7 = 20

Add 7 to both sides:

3x - 7 + 7 = 20 + 7

3x = 27

x = 27/3

x = 9

Therefore, the value of x is 9.

Option A)9 is the correct answer.

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