Lynne loaned $480 to a friend. The friend paid back the ammount borrowed plus 10% interest. what was the total amount the friend paid to lynne?​

Answer:

[0,∞)

Step-by-step explanation:

We can easily solve this question by plotting the equation with the use of a plotting tool or any graphing calculator.

The equation is

y=3^(√x)

Please see attached image

Since the x is inside a square root, we know that x must be greater or equal to zero.

By looking at the graph, we can check that the domain of the function is

[0,∞)

Answer: Composite Figures. A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below.

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:

D. 5

Step-by-step explanation:

x^5 - 4x + 2

The degree of the polynomial is the degree of the highest term

x^5:  5th

4x: 1st

2: 0

So the degree of the polynomial is degree 5

Answer:

300 ft-lbs

Step-by-step explanation:

For work like this,

Just multiply 100 times 3.

You always just multiply the two numbers

Example:

Calculate the work done.

A crane lifts 5,000 newtons to the top of a roof which is 6 meters high.

3,000 ft-lbs

30,000 Nm

5,000 Nm

300 Nm

5,000 x 6 = 30,00

it can also be done like this

5 x 6 = 30

+ 00 = 30,00

The work done is 300 ft-lbs, the correct option is D.

The multiplication of the magnitude of displacement d and the component of the force that is in the direction of displacement is called work done.

Work done is positive when the energy leaves the system. Here, the system is making an effort on the surroundings.

A tractor pulls a heavy log with a force of 100 pounds.

The log moves 3 feet.

The work done is given by;

[tex]\rm Work \ done=Force \times Displacement\\\\Work \ done= 100 \times 3 \\\\Work \ done=300\ ft-lbs[/tex]

Hence, the work done is 300 ft-lbs, the correct option is D.

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I believe that it is true due to it, the distance formula uses x and y coordinates. So, they're the same thing in two different types, or so..

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

Your question is asking what the probability of picking up a boys name out of the paper bag.

In order to solve this problem, we're going to have to find the total amount of names in the paper bag and the amount of boy names there are.

When you read the question, you would find some key information in it.

Key Information:

19 boys

12 girls

With the information above, we can find the probability of picking out a boy name out of the paper bag.

To find the porbability, we're going to need to get the total amount of names in the paper bag. We would just add 19 + 12.

[tex]19+12=31[/tex]

Now, we know that there are 31 total names in the bag.

But, we are trying to find the chances of pulling out a boys name. There are 19 boy names in the bag.

We would use the number 19 as our numerator and 31 as our denominator.

Your fraction should look like this:

[tex]\frac{19}{31}[/tex]

The fraction above would represent the probability to pick out a boy name.

Since 19 is a prime number, we wouldn't simplify the fraction.

Therefore, the chances of picking out a boy name from the paper bag is [tex]\frac{19}{31}[/tex]

[tex]\frac{19}{31}[/tex] should be your FINAL answer.

First multiply 2 to both sides to isolate h. Since 2 is being divided by h, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the right side and bring it over to the left side.

4 < [tex]\frac{h}{2}[/tex]

4 * 2 < [tex]\frac{h}{2}[/tex] * 2

8 < h

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

8 < h OR h > 8

aka 8 is less then h OR h is greater then 8

This means that the graph will have an empty circle and the arrow will go to the right of 8. Look at image below

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

h>8

Step-by-step explanation:

4<h/2

multiply both sides by 2

8<h

Answer:

w =12 cm

l = 24 cm

Step-by-step explanation:

P = 2w + 2l

We know the perimeter is 72 and the length is twice the width (l = 2w)

Substituting P = 72 and l = 2w

72 = 2w + 2(2w)

72 = 2w+ 4w

Combine like terms

72 = 6w

Divide each side by 6

72/6 =6w/6

12 = w

Now we need to find l

l = 2w

l =2*12

l = 24

e = 1/2 mv ^2

Times 2 for both sides.

2e = mv^2

And this is because you are trying to find the formula when solved for v.

And I can help you find that formula which is:

mv^2 = 2e

v^2 = 2e/m

v = √(2e/m)

Answer:

[tex]\text{The formula of a volume of a cylinder:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\large\huge\boxed{\bold{B.\ V=Bh}}[/tex]

Answer: [tex]V=B h[/tex]

Step-by-step explanation:

A cylinder is a solid shape having two circular faces connected by a curved surface.

The volume of a cylinder is given by :-

[tex]V=\pi r^2 h[/tex], where r is radius of the base of the cylider and h is height of the cylinder.

Here , the base area of the cylinder is:

[tex]B=\pi r^2[/tex]

Thus,  the formula for the volume of a cylinder is given by :-

[tex]V=B h[/tex]

Answer:

Option B is correct

Step-by-step explanation:

The graph represent  the negative correlation.

In negative correlation there is inverse relationship between two variables. If value of one variable is increasing then the value of other variable is decreasing.

As seen from the graph when the value of x is increasing the value of variable y is decreasing

So, Option B negative correlation is correct.

First you want to find the area of the driveway. The easiest way to do this is to separate the rectangles. The area of the small rectangle will be 6 because 2x3=6, the area of the large rectangle will be 216 because 18x12=216. Then you will add the two areas back together, 216+6=222. Using the formula volume=baseXheight you will do 222x15 to get 3,330 cubic meters (because height and depth work the same)

The volume of the driveway is calculated by multiplying the area of the driveway by the thickness. The volume will be in cubic meters if all measurements are in meters. For accurate calculation, more specific dimensions are needed beyond just perimeter and thickness.

To help calculate the volume of the concrete used in the driveway, you'll need the perimeter and the thickness of the driveway. The perimeter being stated as 64m doesn't give us enough detail because to calculate the volume of a prism (which the driveway essentially is), we need the area of the base (in this case the area of the driveway's surface), not just the perimeter.

However, if we assume that the driveway is of a standard shape like a rectangle and you also have the structural width, you could calculate the area and then the volume. Here's a generic explanation:

1. If you have a rectangular drive, area would be calculated as length * width.

2. You then calculate volume by multiplying the area by the thickness of the driveway. That is, Volume = area * thickness.

Note: This will give you the volume in cubic meters provided all measurements were in meters.

For us to compute this for your driveway, we'd need more dimensions in addition to the 15m thickness and 64m perimeter.

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Answer:

p = 1

Step-by-step explanation:

6+18p-5=8p+13-2           Collect the like terms on the left and right side

6 - 5 + 18p = 8p + 13 - 2

1 + 18p = 8p + 11                Subtract 1 from both sides.

18p = 8p + 11 - 1                 Combine

18p = 8p +  10                    Subtract 8p from both sides

18p - 8p = 10                      Combine the left

10p = 10                             Divide by 10

10p/10 = 10/10

p = 1

Answer:

44 bicycles.

Step-by-step explanation:

First we find how much profit he made by subtracting 6200 by 4000. When we do this, we get 2200.

Then, we divide 2200 by 50, because he earned 50 for each bike, which gives us 44.

Answer:

there were 124 bicycles. : )

Step-by-step explanation:

11/2 = 5.5

10/2 = 5

12/2 = 6

SA = 5.5 x 5 x 2 + 5.5 x 6 x 2 + 5 x 6 x 2

SA = 55 + 66 + 60

SA = 181

The answer is C) 181 cm²

Correct Option is C , 181 square cms.

l = 11cm

b = 10cm

h = 12cm

Surface Area of Cuboid:

A cuboid has 6  rectangular faces, the surface area of the whole cuboid is the sum of 6 rectangular surface areas of cuboid.

surface area = l x b + b x h + h x l + l x b + b x h + h x l

Surface area of cuboid = 2 x ((l x b) + (b x h) + (h x l))

When the length of each side is cut in half so, l, b and h decreases by 2.

l =  [tex]\frac{l}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5cm

b = [tex]\frac{b}{2}[/tex] = [tex]\frac{10}{2}[/tex] = 5cm

h = [tex]\frac{h}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6cm

Surface Area of the cuboid = 2 x ((l x b) + (b x h) + (h x l))

=>  2 x ((5.5 x 5) + (5 x 6) + (6 x 5.5))

=> 2 x (27.5 + 30 + 33)

=> 2 x (90.5)

=> 181 [tex]cm^{2}[/tex]

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Answer:

poloygons with right angles

Step-by-step explanation:

The Venn diagram A have polygons having right angle.

A Venn diagram is a diagram that employs circles to depict the relationships between items or finite groupings of things. Circles that overlap share characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for visualising the similarities and differences between two concepts.

We have Venn diagram having geometrical shapes

In Venn diagram A the geometrical shapes are

Thus, the Venn diagram A have polygons having right angle.

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Answer:

The distance between the police station and the fire station is 4 miles

Step-by-step explanation:

* Lets study the situation in the problem to solve it

- In the city there are three places, library , police station and fire station

- The distance between the library and the police station is 3 miles

  less than twice the distance between the police station and the

  fire station

- The distance between the library and the police station is 5 miles

* Lets change all of these situation to equations

# Let the distance between the library and the police station is x

# Let the distance between the police station and the fire station is y

∵ The distance between the library and the police station (x) is 3 miles

  less than twice the distance between the police station and the

  fire station (y)

∴ x = 2y - 3

∵ The distance between the library and the police station is (x) 5 miles

∴ x = 5

- Substitute the value of x in the equation above

∵ x = 2y - 3

∵ x = 5

∴ 5 = 2y - 3 ⇒ add 3 to both sides

∴ 8 = 2y ⇒ divide both sides by 2

∴ 4 = y

∵ y is the distance between the police station and the fire station

∴ The police station is 4 miles apart from the fire station

* The distance between the police station and the fire station is 4 miles

Answer:

Option A

Step-by-step explanation:

Answer:

Graphs..?

Step-by-step explanation:

For this case we must indicate the graph of the following inequality:

[tex]-3x-7 <20[/tex]

We add 7 to both sides of the inequality:

[tex]-3x <20 + 7\\-3x <27[/tex]

We divide between -3 to both of the inequality taking into account that the meaning changes:

[tex]x> \frac {27} {- 3}\\x> -9[/tex]

Answer:

[tex]x> -9[/tex]

See attached image

what about this picture/function/expression?

well, we have 3 points over the y-coordinate, but but but, every point has the same x-coordinate, whatever that might be, and so they form a vertical line.

does this straight vertical line pass the vertical line test? nope.

other way to see it is, a function has no x-repeats, the x-coordinate for every point must not be repeated, in this case it is the same for all, so it repeats thrice, so is not a function, just a relation.

Answer:

$ 2533.594

Step-by-step explanation:

The saving balance is found by the equation;

[tex]SV=P*[((1+i)^n -1)/i][/tex]

where P=monthly payments, i= interest rate n=period

Given ;

P= $250   n=9months and i=6%(0.04) per year, find savings balance?

Note than n is given in months so we divide the rate by 12 i.e

0.04/12 =0.003

Substitute values in the formulae;

SV= 250 × [((1+0.003)^9 - 1)/0.003)]

[tex]SV= 250* [((1+0.003)^9 -1 )/0.003]\\\\SV=250*[(1.003)^9 -1)/0.003]\\\\SV=250*[(1.0304 -1)/0.003]\\\\SV=250*[0.0304/0.003]\\\\SV=250*10.134\\\\SV=2533.594[/tex]

12

Step-by-step explanation:

-36/3 is -12 which means 12 days of decline thank u come again

Final answer:

To determine the number of days over which the price of a stock declined by $36 at a rate of $3 per day, divide the total change by the daily change, resulting in 12 days.

Explanation:

The problem described is a typical arithmetic problem where we want to find out over how many days a stock has declined in price if it dropped by a certain amount each day. To solve this, let's use linear equation reasoning. The total change in the price of the stock is -$36, and the daily change is -$3. We can express the total change (T) as the product of the daily change (d = -$3) and the number of days (n), so we have T = dn.

To find the number of days, we rewrite this equation as n = T/d, and substitute the given values to get n = -$36/-$3. Thus, n = 12. Therefore, the price of the stock declined over 12 days.

Answer:

C and D

Step-by-step explanation:

D is the exact same.

For C this is already proven but you can test this by choosing any number for K (4) and multiply it by 1/2. You get 2 which is the same as 4/2.

The expression which is equivalent to the expression, K/2 is; Choice D: k/2.

According to the question;

Among the choices; Choice D: k/2 is the exact same as the expression K/2.

However, Choice C if written as (1/2)k is equivalent to k/2 as they both mean half of k.

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B)

as you recall yesterday, the "far arc near arc" formula, well, notice, the angle at XDY intercepts the circle at XY, with a "near arc" of 100°, and a "far arc" of 360° - 100° = 260°.

so using the far arc near arc formula

[tex]\bf \measuredangle D=\cfrac{260-100}{2}\implies \measuredangle D=\cfrac{160}{2}\implies \measuredangle D = 80[/tex]

the twin angles at A and C will take the slack from all interior angles of 180° - 80° = 100°, so then ∡A = ∡C = 50°.

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48

Answer:

[tex]\large\boxed{224\ cubes}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224[/tex]

[tex]\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)[/tex]

Answer:

24 ft

Step-by-step explanation:

The is a center pole and two side poles and the bottom. This triangle can be broken into 2 smaller triangles. When finding the base this requires the quadratic formula. a^2+b^2= C^2

We are given a and c. A is 16 and c is 20. The equation can be changed to c^2-a^2=b^2.

20^2-16^2=b^2

400-256=b^2

144=b^2

12=b

But remember there are two triangles so the base is 2b which is 24

Answer:

i cant see the picture

Step-by-step explanation: