at a math convention nora sold 13 rulers for $110.50 at the same price how much would 7 rulers cost?

Answer:

1) The sine function relates a real number t to the y-coordinate of the point where the corresponding angle intercepts the unit circle.

2) The secant function is the reciprocal of the cosine function (secx=1cosx) ⁡ x = 1 cos ⁡.The co-secant function is the reciprocal of the sine function (cscx=1sinx) ⁡ x = 1 sin ⁡ . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y ⁡ t = 1 y .

Step-by-step explanation:

Final answer:

Sine and cosine functions are related to the unit circle with their values representing the y and x coordinates of a point on the circle, respectively. They oscillate between +1 and -1, repeating every 2π radians and are used to model simple harmonic motion, differing by a phase shift of π/2 radians.

Explanation:

The sine and cosine functions are directly related to the unit circle, which is a circle with a radius of 1 centered at the origin of a coordinate system. When an angle θ is drawn from the positive x-axis, the coordinates of the point where the terminal side of the angle intersects the unit circle are (cos θ, sin θ).

For the sine function, think of it as projecting the point on the unit circle onto the y-axis. This projection gives the y-coordinate, which is the sine of the angle θ. Therefore, the sine function oscillates between +1 and -1 as the angle θ increases, repeating every 2π radians because this is the circumference of the unit circle.

Similarly, the cosine function is obtained by projecting the point onto the x-axis, providing the x-coordinate or the cosine of the angle θ. It also oscillates between +1 and -1 and repeats every 2π radians. Both sine and cosine functions describe simple harmonic motion when modeling periodic phenomena, and they differ by a phase shift of π/2 radians.

The initial conditions of a sine function with zero phase shift are that the function starts at 0, indicating that, for simple harmonic motion, the initial position is at equilibrium. With a cosine function, the initial value is 1 when the phase shift is zero, indicating that the motion starts at its maximum displacement. This concept can also be used to model wave functions and determine scalar components using triangles.

Answer:

3 3/5

Step-by-step explanation:

Just divide 18 by 5 but rather than putting it in decimal form, it should be in fractional form

Thank me later :)

Answer:

3 3/5

Step-by-step explanation:

18/5

Take 18 and divide by 5

It goes in 3 times 5*3 =15

18-15 =3

This goes over the denominator

3 3/5

Answer:

104pi

Step-by-step explanation:

Answer: The radius is 5 units (approximately)

Step-by-step explanation: The area of a sector with central angle X is given as;

Area = (X/360) x pi x r^2

Since the area has been given as 15.71 units, we can input the known values into the formula as follows;

15.71 = (72/360) x 3.14 x r^2

By cross multiplication we now have

(15.71/3.14) = 1/5 x r^2

(15.71/3.14) x 5 = r^2

78.55/3.14 = r^2

25.0159 = r^2

Add the square root sign to both sides of the equation

5.001 = r

The radius is equal to 5 units (approximately)

Answer:

Step-by-step explanation:

Let n = nickels and d = dimes

n+d = 65

5n+10d = 490

Solve for n:

n = 65 - d

Substitute the equation:

325 + 5d = 490

5d = 165

d = 33

Answer:

the picture is blocked on my screen just write it out on my answer

Step-by-step explanation:

Answer:

the theoretical probability is 1/5.

the experimental probability is 3/10.

chances are the experimental probobility will approach the theoretical probobility.

Step-by-step explanation:

since blue is one of five equal sizes, the probobility that it will land on blue is 1/5.

the expiromental probobility is the number of times it landed on blue devided by the number of spins. 15/50. this can be simplified by pulling out a 5, leaving us with 3/10.

last it stands to reason that the more times the spinner is spun the closer the experimental probability will model the theoretical probability.

Answer:

x = ±i8/7

Step-by-step explanation:

49x^2 +64 = 0

Subtract 64 from each side

49x^2 +64-64  = 0-64

49x^2 = -64

Divide by 49

49x^2/49 =-64 /49

x^2 = - 64/ 49

Take the square root of each side

sqrt(x^2) = ±sqrt(- 64/ 49)

x = ±sqrt(- 64/ 49)

We know sqrt( ab/c) = sqrt(a) sqrt(b)/sqrt(c)

x = ±sqrt(- 1) sqrt(64)/( 49)

We know that the sqrt(-1) = i

x = ±i8/7

Answer:

-1/2 + -1/2 + -1/2 + -1/2 = -2

Step-by-step explanation:

You open up the parenthesis to get:

-1/2 + -1/2 + -1/2 + -1/2 =

-2

Answer:

y = -51 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = -3 when x = 17 and y varies inversely with x.

So we substitute the values y = -3 and x = 17 in the equation y = k ÷ x

K = constant, we have to work this out

-3 = k ÷ 17

-3 × 17 = k

k = -3 × 17

k = -51

k = -51 So then we put this back into the original y = k ÷ x to find our final equation which is y = -51 ÷ x

Slope of the line passes through (5,10) and (7,12) is 1.

Step-by-step explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Now, putting [tex]x_{1} =5,y_{1}=10, x_{2}=7, y_{2} =12[/tex] we get,

Slope = [tex]\frac{12-10}{7-5}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.

Answer:

[tex]to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,

10) \: and \: (7,12) \\

answer \: is \: \: 1

[/tex]

Step-by-step explanation:

[tex]passing \: through \: (5,10) \: and \: (7,12) \\ slope = \frac{y2 - y1}{x2 - x1} \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = \frac{12 - 10}{7 - 5} \\ = \frac{2}{2} \\ = 1[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

?

Step-by-step explanation:

however many weeks the question is asking for just multiply that number by 15

Answer:

15w

Step-by-step explanation:

So, there is a rate. It would be 15w

w=Week.

Since she started with no money at all, it would be simple. 15w.

Hope this helped!

Answer:

area of the shaded sector

= 72°/360°π(10)²

= 0.2×100π. sq. units

=20π sq. units

area of the not shaded region=π(10)²-20π

= (100-20)π = 80π sq. units

Answer:

WHAT IS THIS QUESTION AHHH BUT 03125

Step-by-step explanation:

Answer:

Probability of 3 or less = 0.8125.

Step-by-step explanation:

This is a binomial probability distribution.

Prob(0 females) =  5C0(1/2)^5 = 0.03125

Prob(1 female) = 5C1 (1/2)^5 = 0.15625

Prob(2 females) = 5C2(1/2)^5 = 0.3125

Prob(3 females) = 5C3(1/2)^5 = 0.3125

Adding these we get 0.8125.

Answer:

1 17/40 m^3

Step-by-step explanation:

Volume = l*w*h

             = 1 9/10 * 1 1/2 * 1/2

Changing the mixed numbers to improper fractions

1 9/10 = (10*1+9) /10 = 19/10

1 1/2 = (2*1+1)/2 = 3/2

1/2 = 1/2

V = 19/10* 3/2*1/2

  =57/40

Changing this back to a mixed number

40/40 + 17/40

1 17/40

Answer:

1 17/40 m³

Step-by-step explanation:

1.9 × 1.5 × 0.5

= 1.425 m³

19/10 × 3/2 × 1/2

= 57/40

= 1 17/40 m³

Answer:

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9

Answer:

Step-by-step explanation:

B: 61

Answer:

Step-by-step explanation:

x = 2 ; y = 4

3x + 2y + 4 = 3*2 + 2*4 + 4

                 = 6 + 8 + 4

                 = 18

Final answer:

Using the compound interest formula, Brad's $1,500 will grow to $1,810.69 by the time he turns 21 due to the 6.5% annual growth rate for three additional years.

Explanation:

Calculating Future Value with Compound Interest

Brad's grandmother initially deposited $1,500 in an account that grows at a rate of 6.5% each year. To calculate the future value of this investment when Brad is 21, we'll use the formula for compound interest:

FV = P(1 + r)^n

Where:

FV is the future value of the money after n years.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of years the money is invested or borrowed for.

In Brad's case:

P = $1,500

r = 0.065 (6.5% converted to a decimal)

n = 21 years old - 18 years old = 3 years

Now, we plug these values into the compound interest formula:

FV = $1,500(1 + 0.065)^3

And calculate the future value.

Therefore, if Brad decides to wait until his 21st birthday to withdraw the money, he would have:

$1,500(1 + 0.065)^3 = $1,500(1.065)^3 = $1,500 * 1.207127 = $1,810.69

Brad will have $1,810.69 in his account by the time he is 21 if he waits, which is more than he would have at 18.

Answer:

you mean this (5x-5)=(2x+10)right ? if yes X=5

Step-by-step explanation:

if this (5x-5)+(2x+10)=0 so X= - 5/7

Answer:7x+5

Step-by-step explanation:Add together your x’s then add together -5 and 10 to get 7x+5

The given sequence follows a geometric pattern, and the common ratio is 0.2. Using the geometric sequence formula, we can find any term in the sequence by substituting the values into the formula.

The given sequence 125, 25, 5, ... follows a geometric pattern where each term is obtained by multiplying the previous term by a common ratio. To find the common ratio (r), we divide any term by its previous term. Let's divide 25 by 125 to find the common ratio: r = 25/125 = 1/5 = 0.2.

Now that we have the common ratio, we can use the formula for a geometric sequence:

aₙ = a₁ × r(n-1)

Here, aₙ represents the nth term, a₁ is the first term, r is the common ratio, and n is the term number. Since the first term (a₁) is 125 and the common ratio (r) is 0.2, we can substitute these values into the formula to find the nth term.

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The rule for the given geometric sequence 125, 25, 5, ... is an = 125 × 5(n-1).

The given sequence is 125, 25, 5, ...

To find the rule using the geometric sequence formula, we need to determine the common ratio. The common ratio is found by dividing any term by its previous term. Let's take the first two terms: 125/25 = 5. So, the common ratio is 5.

The formula for a geometric sequence is given by: an = a¹ × r⁽ⁿ⁻¹⁾, where an is the nth term, a¹ is the first term, r is the common ratio, and n is the position of the term.

Using this formula with the first term (a¹ = 125) and the common ratio (r = 5), we can find the rule for the sequence. Let's find the rule for the third term: a³ = 125 × 5⁽³⁻¹⁾ = 125 × 5² = 125 × 25 = 3125.

Therefore, the rule for the sequence is: aⁿ = 125 × 5⁽ⁿ⁻¹⁾.

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Answer:

5, -2,5,-2,5 Recursive

Answer the answer is power if 10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer A does not come out to an even answer.

Answer:

C

Step-by-step explanation:

The Pythagorean theorem only works with right triangle. Seeing that the only right triangle is C the correct answer must be C. If you don't know how to identify a right triangle one of the easiest things to do is that there is a box in the corner and that means it is a right triangle. A right triangle is a triangle in which one of the corners is at at 90 degree angle

Answer:

5 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

your answer would be 26.99 or 27

Step-by-step explanation:

Hope this helps

Answer:

d=26.9863

Step-by-step explanation:

to find the diameter divide the circumference by 3.14

hope this helps

stay safe

brainliest is appreciated :))

Answer:

810 square meters

Step-by-step explanation:

I did 12 x 15 x 18 and got 3240

then I divided 3240 by 4 because there are 4 sides of it which gave me 810

Hope This helps!

Answer:

20ft ^2  (squared)

Step-by-step explanation:

We deduct the circle area from the square area but first find out the radius triangle segment the 1/diagonal of the square. To find the hypotenuse h= c=r

h^2 =c = a+ b

h^2 = 8^2+ 8^2

h^2 =√64 + √64

h^2 =√128 = 11.313708499/3 = 3.77123616633

r=  5.65ft or 5.66ft rounded up

Square area formula = L x W = 8ft x 8ft = 64ft^2

Circle area formula=  A=πr2 = (π = 3.14159265359  (3.77123616633x 3.77123616633) = 14.2222222222 x 3.14159265359  = 44.680428851

A = 14.2 x π

A = 44.68ft

64 - 44.68 = 19.32ft^2

The answer must be 20ft ^2 squared.

Answer:

x ≤8/5

Step-by-step explanation:

6x - 9 ≥ 11x - 17

Subtract 6x from each side

6x -6x-9 ≥ 11x - 17-6x

-9 ≥ 5x- 17

Add 17 to each side

-9+17≥ 5x - 17+17

8≥ 5x

Divide each side by 5

8/5≥ 5x /5

8/5≥ x