Your parents ask you to choose between two offers for an allowance. The first offer is to receive one penny on the first day, 2 penny’s on the second day, 4 pennies on the third day, 8 pennies on the fourth day and so on. (365 days). Second offer is to receive 10 the first week, 20 the second week, 30 the third week, and so on, for the entire year (52 weeks). Which offer should you choose to make more money?

Box A is the plot that represents the data set hope this helps:)

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

First find the slope of the line containing points (5,4) and (-7,9).  To find the slope use the formula [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex].  Putting those values in, you have

[tex]\frac{9-4}{-7-5}[/tex]

Simplify

[tex]\frac{5}{-12}[/tex]

[tex]-\frac{5}{12}[/tex]

Then, to find the slope of the line perpendicular to that, find the negative reciprocal.  

[tex]\frac{12}{5}[/tex]

Answer:

(-2,2)

hope this helps!!!

norton22aa

Step-by-step explanation:

Answer:

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Step-by-step explanation:

For a quadratic equation written in the general form [tex]y=ax ^ 2 + bx + c[/tex],

the x coordinate of its vertex is:

[tex]x = -\frac{b}{2a} = h[/tex]

Then this equation written in the form of vertex is:

[tex]y=a(x-h) ^ 2 + k.[/tex]

Where the point (h, k) is the vertex of the parabola.

In this case we have the equation

[tex]y=2x^2+8x+10[/tex]

Then the x coordinate of its vertex is:

[tex]x=-\frac{8}{2(2)}\\\\x= -2[/tex]

Therefore the y coordinate of its vertex is:

[tex]f(-2) = 2(-2)^2+8(-2)+10\\\\f(-2) = 2[/tex]

The vertice is (-2, 2)

Then

[tex]h=-2\\\\k = 2[/tex].

This equation written in the form of vertex is

[tex]y=2(x+2) ^ 2 + 2.[/tex]

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

[tex]\bf \sqrt{56}-\sqrt{14}+\sqrt{126}~~ \begin{cases} 56=&2\cdot 2\cdot 2\cdot 7\\ &2^2\cdot 14\\ 126=&2\cdot 3\cdot 3\cdot 7\\ &2\cdot 3^2\cdot 7\\ &3^2\cdot 14 \end{cases}\implies \sqrt{2^2\cdot 14}-\sqrt{14}+\sqrt{3^2\cdot 14} \\\\\\ \stackrel{\textit{let's add the like-terms}}{2\sqrt{14}-\sqrt{14}+3\sqrt{14}}\implies 4\sqrt{14}[/tex]

Answer:

Step-by-step explanation:

sqrt(56) = sqrt(4*14) = 2*sqrt(14)

sqrt(126)= sqrt(9*14) = 3*sqrt(14)

2*sqrt(14) - sqrt(14) + 3*sqrt(14)

5sqrt(14) - sqrt(14)

4*sqrt(14)

====================

The second one is not clear enough.

Answer:

c

Step-by-step explanation:

common sense

Answer:

f(2) = 3

Step-by-step explanation:

We are given:

f(0) = 3

and

f(n+1) = -f(n) + 5

We have to find the value of f(2). In order to find f(2) we first have to find f(1)

f(n + 1) = - f(n) + 5

Using n = 0, we get:

f(0 + 1) = - f(0) + 5

f(1) = -f(0) + 5                                                     Using the value of f(0), we get

f(1) = -3 + 5 = 2

Now using n = 1 in the function, we get:

f(1 + 1) = - f(1) + 5                                               Using the value of f(1), we get

f(2) = -2+ 5

f(2) = 3

Thus the value of f(2) will be 3

I’m not sure either, but lets keep in touch because I do Acellus too, and Trigonometry. Give me a thanks so we can message

Trigonometry involves the study of angles and sides of triangles, where sine, cosine, and tangent are fundamental ratios used to solve problems. The Law of Sines and the Law of Cosines help calculate unknown lengths and angles in various types of triangles.

Trigonometry is the branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right-angled triangles. Key concepts such as trigonometric ratios including sine, cosine, and tangent are fundamental in solving problems in trigonometry. When provided with a diagram like Figure 4.17 or Figure 5.27, one can determine the magnitudes of various components by applying these trigonometric principles.

For instance, if we know the angle and a side length adjacent to it, we can find the lengths of the unknown sides using functions such as cosine for the adjacent side or sine for the opposite side relative to the given angle. The Law of Sines and the Law of Cosines are also substantial tools in trigonometry, allowing us to calculate unknown lengths and angles in non-right triangles. Practicing these calculations with a calculator, as mentioned, helps familiarize oneself with the trigonometric functions and their inverses.

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your divisor, which will be your denominator, and the numerator is your remainder. Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

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b(2 ×10)+(3*1)+(0×1b)+(1×100)+(4×1000)

Final answer:

The number 23.014 in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001), illustrating the value of each digit according to its place value.

Explanation:

Writing the number 23.014 in expanded form means expressing each digit according to its place value. Expanded form represents a number by showing the value of each digit. For the decimal number 23.014, we look at the place value of each digit: the digit in the tens place, the ones place, the tenths place (one place after the decimal), the hundredths place (two places after the decimal), and so on.

The correct expanded form for 23.014 is:
<(2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001)

This means:

The '2' is in the tens place, so it represents 2 x 10, or 20.

The '3' is in the ones place, so it represents 3 x 1, or 3.

The '0' is in the tenths place, but since it's 0, it adds no value (0 x 0.1 = 0).

The '1' is in the hundredths place, so it represents 1 x 0.01, or 0.01.

Finally, the '4' is in the thousandths place, so it represents 4 x 0.001, or 0.004.

Therefore, 23.014 written in expanded form is (2 x 10) + (3 x 1) + (0 x 0.1) + (1 x 0.01) + (4 x 0.001).

Answer: y = I x l + 1/2

Step-by-step explanation:

The answer is y= IxI+1 bc you moved it up by 1 so that makes it plus 1  

Set up an equation:

x * .30 = 15

Divide both sides by .30 in order to determine the value of x

x = 15/.30

x = 115.38

So, the original price of the pair of shoes is $115.38

A "Geometry Net" is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid.

Answer: 5y(5y-7)

Step-by-step explanation: 25y^2 - 35 y

factor out 5y

5y(5y-7)

Answer:

[tex]\large\boxed{25y^2-35y=5y(5y-7)}[/tex]

Step-by-step explanation:

[tex]25y^2=(5y)(5y)\\\\35y=(5y)(7)\\\\25y^2-35y=(5y)(5y)-(5y)(7)=(5y)(5y-7)[/tex]

Answer:

x=335

Step-by-step explanation:

The given expression is

[tex]8^{2x+3}+8^{2x+1}-8^{2x}=519*2^{2010}[/tex]

Apply the reverse of the product rule: [tex]a^{m+n}=a^m\times a^n[/tex]

[tex]8^{2x}\times 8^3+8^{2x}\times 8^1-8^{2x}=519*2^{2010}[/tex]

Factor on the left

[tex](8^3+ 8^1-1})8^{2x}=519*2^{2010}[/tex]

Evaluate

[tex](512+ 8-1})8^{2x}=519*2^{2010}[/tex]

Simplify:

[tex]519*8^{2x}=519*2^{2010}[/tex]

Divide through by 519

[tex]8^{2x}=2^{2010}[/tex]

Write the the LHS as a power of 2.

[tex]2^{3*2x}=2^{2010}[/tex]

[tex]2^{6x}=2^{2010}[/tex]

Equate the exponent

[tex]6x=2010[/tex]

Divide by 6

x=335

If this helps please considering giving me brainliest as it helps me a lot.

232-(59+57+58) = S

232-174 = S

S = 58

Hope this helps!

Answer:

16%

Step-by-step explanation:

To solve this we are using the standard growth equation:

[tex]y=a(1+b)^x[/tex]

Were

[tex]y[/tex] is the final value after [tex]x[/tex] years

[tex]a[/tex] is the initial value

[tex]b[/tex] is the growth factor (yearly rate of appreciation in our case) in decimal form

[tex]x[/tex] is the time in years

We know from our problem that gold coin appreciated in value from $200.00 to $475.00 in 6 years, so [tex]y=475[/tex], [tex]a=200[/tex], and [tex]x=6[/tex].

Let's replace the values in our equation and solve for [tex]b[/tex]:

[tex]y=a(1+b)^x[/tex]

[tex]475=200(1+b)^6[/tex]

[tex]\frac{475}{200} =(1+b)^6[/tex]

[tex]2.375=(1+b)^6[/tex]

[tex]\sqrt[6]{2.375} =\sqrt[6]{(1+b)^6}[/tex]

[tex]1+b=\sqrt[6]{2.375}[/tex]

[tex]b=\sqrt[6]{2.375}-1[/tex]

[tex]b=0.155[/tex]

which rounds to

[tex]b=0.16[/tex]

Since our appreciation rate is in decimal form, we need to multiply it by 100% to express it as percentage:

0.16*100% = 16%

We can conclude that the yearly appreciation rate of our gold coin is approximately 16%

Isolate “y” in one of the equations, then substitute it in the other equation. After you find x, put it in the isolated equation and you’ll find y value.

The value of x = 1 and y = 0.

Consider the given system of equation

4x - 2y = 4  ........(1)

6x - 4y = 6 ........(2)

Solve the system algebraically,

By using the elimination method,

Multiply equation (1) by 2, and we get,

(1) ⇒ 8x - 4y = 8 ............(3)

Subtract equation (2) from (3), we get,

8x - 4y - (6x - 4y) = 8 - 6

Simplifying the above equation, we get

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y, we get,

⇒ 4x - 2y = 4

⇒ 4 (1) - 2y = 4

⇒ 2y = 4 - 4

⇒ 2y = 0

⇒ y = 0

Therefore, the value of x = 1 and y = 0.

To learn more about algebraic expression

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I'm pretty sure that the answer to this question is B

Maybe you should try using a ruler cause I can’t tell if it is combined the two above it or what to do

The answers would most likely be A,C,and B from my calculations

Answer:

4.71 ish centimeters

Step-by-step explanation:

The equation for a cylinder is [tex]\pi r^{2} h[/tex] , where h is the height and r is the radius. So plugging in the numbers you have Pi * (1)^2 *1.5.

4.71 centimeters is the answer

Answer:

a) $ 120

b) $ 53

Step-by-step explanation:

Cost of Bicycle paid by Jin = $173

Cost of Helmet = $ 19

Total amount paid by Jin = $173 + $19 = $192

This amount is 160% of what Stefan originally spent. Let the amount he originally spent was n, so we can write:

192 = 160% of n

192 = 1.6n

n = [tex]\frac{192}{1.6} = 120[/tex]

Thus, Stefan originally spent $120 for buying the bicycle and the helmet.

Profit which he made from this sale = $ 173 - $ 120 = $53

So he made $53 by selling Jin a bicycle and a helmet

To find the original cost Stefan spent, we calculate 160% of the original cost equal to the total selling price of $192. Divide $192 by 1.60 to find the original cost. Subtract this cost from $192 to find Stefan's profit.

The student's question pertains to calculating the original cost and the profit made from a sale. To solve this, we can set up an equation where 160% of the original cost (which we will call 'x') is equal to the total selling price of the bike and helmet, which is $173 for the bicycle and $19 for the helmet, adding up to $192.

This equation can be represented as 1.60x = $192. To find the original cost (x), divide the total cost by 1.60: x = $192 / 1.60. Calculating this gives us the original cost that Stefan spent.

To find the profit, we subtract the original cost from the total selling price. If x represents the original cost, then the profit is $192 - x. The step-by-step explanation helps the student understand how to set up and solve equations involving percentages, a key concept in mathematics related to business and personal finance.

Answer:

[tex]x\in(-\infty,\infty)[/tex]

Step-by-step explanation:

The given function is [tex]f(x)=5^x[/tex]

Domain is the set of x values for which the function is defined.

The function  [tex]f(x)=5^x[/tex] is an exponential function and for any real values of x, the function f(x) will be defined.

Therefore, we can conclude that the domain of the function is all real numbers.

In interval notation, the domain of f(x) is

[tex]x\in(-\infty,\infty)[/tex]

The domain of the function f(x) = 5^x is all real numbers.

The domain of the function f(x) = 5x is all real numbers. In exponential functions like this one, the domain is always the set of all real numbers. This means that there are no restrictions on the values that x can take. For example, you can plug in any real number into the function, such as 0, 1, -2, or 3.5, and the function will still output a valid value.

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Answer:

2

Step-by-step explanation:

We don't need to "solve" this to figure out the answer.

We need to recognize that the first equation given is that of an ellipse and the second equation given is that of a line.

A line and an ellipse in a coordinate system can have these outcomes:

1. They can intersect (touch) at 1 point

2. They can intersect at 2 points

3. Can't intersect at all

Thinking will make sense. So, the maximum number of possible solutions is 2.

Note: The number of points of intersection are the solutions as well

Answer:

y,n,y,y

Step-by-step explanation:

1*15=15

2*15=30

3*15=45

Answer:

(1,15) = yes

(1,30) = no

(2,30) = yes

(3,45) = yes

Step-by-step explanation:

The points on the graph:

(0,0)

(1,15)

(2,30)

(3,45)

(4,60)

(5,75)

(6,90)

(7,105)

(8,120)

(9,135)

(10,150)

(Hope you understand!)

Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.

Answer:

C. 95°

Step-by-step explanation:

The up angle of the triangle is 180° - 121° = 59°

The right angle of the triangle is 180° - 144° = 36°

The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°

=> n° = 180° - 85° = 95°

Answer:

○ C. 95°

Step-by-step explanation:

Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:

-144° + 180° = 36°

-121 + 180° = 59°

You have two of the interior angles, so to find the final one, we do this:

-95° + 180° = 85°

You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:

-85° + 180° = 95°

So, the m∠n is 95°.

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the value of the lower quartile is 2 because that’s where the box ends

Answer:

16

Step-by-step explanation:

The perimeter = sum of the three sides.

1/2 + 1/2 = 1

4 + 5 + 6 + 1 = 16