cara is making a beaded necklace for a gift. she wants to spend more than $25 because she doesn´t want to seem like a cheap friend but no more than $60 because she isn´t that good of a friend either.the bead store charges $3 for large beads and $2 for small beads.if she buys 5 large beads, how many small beads can she buy to stay within her budget.

For y(t)=(4+t)⁽⁻¹²⁾ to be a solution to the initial value problem y!+αyⁿ=0, y(0)=y0, α must be 12y0² and n must be (ln(y0²) - ln(4)) / (12 ln(2)) + 1/2, provided that y0 ≠ 0 and y0 ≠ 2.

To determine the values of y0, α, and n for which y(t) = (4+t)⁽⁻¹²⁾ is a solution to the initial value problem
(4) y! + αyⁿ = 0, y(0) = y0,
we first need to find the value of y! and y'(t).
Using the chain rule, we can write
y'(t) = -12(4+t)⁽⁻¹³⁾.
To compute y!, we can use the formula
y! = dy/dt * dt/dy,
where dt/dy is the inverse of dy/dt. In this case, dt/dy = 1/y', so we have
y! = y'(t) / dt/dy = -12(4+t)⁽⁻¹³⁾ * (dt/dt)⁽⁻¹⁾ = -12(4+t)⁽⁻¹³⁾ * y(t)².
Substituting y(t) = (4+t)⁽⁻¹²⁾ into the differential equation (4), we get
y! + αyⁿ = -12(4+t)⁽⁻¹³⁾ * (4+t)⁽⁻²⁴⁾ + α(4+t)⁽⁻¹²ⁿ⁾ = (-12 + α(4+t)⁽⁻¹²ⁿ⁺¹³⁾)(4+t)⁽⁻²⁴⁾.
For y(t) to be a solution to the differential equation (4), we need y! + αyⁿ to be identically zero, so we must have
-12 + α(4+t)⁽⁻¹²ⁿ⁺¹³⁾ = 0.
Setting t = 0 and using the initial condition y(0) = y0, we have
y!(0) + αyⁿ(0) = -12y0² + α = 0,
which implies α = 12y0². Substituting this into the previous equation, we get
-12 + 12y0²(4⁽⁻¹²ⁿ⁺¹³⁾) = 0,
or equivalently,
-1 + y0²(4⁽⁻¹²ⁿ⁺¹³⁾) = 0.
Solving for n, we get
n = (ln(y0²) - ln(4)) / (12 ln(2)) + 1/2,
which is valid for y0 ≠ 0 and y0 ≠ 2. For α, we have α = 12y0², and for any n that satisfies the above equation, y(t) = (4+t)⁽⁻¹²⁾ is a solution to the initial value problem (4) with y(0) = y0.

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Complete question:

For what values of the constants y0, α and integer n is the function y(t)=(4+t)⁻¹² a solution of the initial value problem below?
(4) y!+αyⁿ = 0, y(0)=y0.

The coordinates of vertex D in the parallelogram are (-7, -10).

We have,

To find the coordinates of vertex D of the parallelogram, we need to use the properties of a parallelogram.

One of these properties states that opposite sides of a parallelogram are parallel and have equal lengths.

Given that A = (8, 2), B = (6, -4), and C = (-5, -4), we can find the coordinates of D as follows:

Find the vector representing one of the sides of the parallelogram.

We can use the vector AB.

Vector AB = (x-coordinate of B - x-coordinate of A, y-coordinate of B - y-coordinate of A)

= (6 - 8, -4 - 2)

= (-2, -6)

Add this vector to point C to find the coordinates of D.

Coordinates of D = (x-coordinate of C + x-coordinate of AB, y-coordinate of C + y-coordinate of AB)

= (-5 - 2, -4 - 6)

= (-7, -10)

Therefore,

The coordinates of vertex D are (-7, -10).

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Step-by-step explanation:

I hope this works for ya.

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Answer:

Someone would need to see the units and the picture that would be attached to this question.

Step-by-step explanation:

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

\(\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}\)

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

\(\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}\)

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

Remove the parentheses and combine the like terms:

7 - -9 = 7+ 9 = 16

6i - -8i = 6i +8i = 14i

The answer is 16 + 14i

The point of intersection will be the x, and y coordinates where the two lines cross.

To determine the point(s) of intersection algebraically, we need to find the solutions of the system of equations:

y = x² - x + 1

We can re-arrange the equation to solve for x:

x² - x + 1 - y = 0

We can then use the quadratic formula to find the solutions:

x = (1 ± √(1 - 4(1)(-y)))/2

x = (1 ± √(1 + 4y))/2

Now we can substitute values for y to find the x-coordinates of the points of intersection.

To verify the results, we can use a graphing utility to graph both equations and visually see where they intersect.

The point of intersection will be the x, and y coordinates where the two lines cross.

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Answer:

\( \dfrac{225}{64} \)

Step-by-step explanation:

\( (4^3)^{-2} \times (2^3)^4 \times (\dfrac{8}{15})^{-2} = \)

\(= (2^2)^{-6} \times 2^{12} \times (\dfrac{15}{8})^{2}\)

\(= 2^{-12} \times 2^{12} \times \dfrac{225}{64}\)

\( = \dfrac{225}{64} \)

The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb

Total area of garden = 36 ft²

Total amount of gravel used = 252 lb

The amount of gravel used to cover each ft² of the garden can be calculated thus :

(Total amount of gravel used) ÷ (Total area of garden)

252 ÷ 36 = 7 lb

Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb

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The height of the kite from the ground when the angle is 50 degrees is 232 feet.

The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.

Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.

To find the height of the kite above the ground we use the trigonometric identity of tangent.

Thus, we have:

tan(50°) = h/200

Now, using cross multiplication:

h = 200 tan(50°) ≈ 232 feet

Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.

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Answer:

Step-by-step explanation:

<E = <T                                Given

M is the midpoint of TE      Given

TM = ME                               Definition of a  midpoint

<TMI = <RME                        Property of Vertically Opposite Angles

ΔTMI = ΔRME                       ASA = ASA

MI = ME                                 Corresponding parts of Congruent triangles                                    are Congruent

answer:                              reasoning:

<E = <T                                given

M is the midpoint of TE      given

TM = ME                               definition of a  midpoint

<TMI = <RME                        property of Vertically Opposite Angles

ΔTMI = ΔRME                       ASA = ASA

MI = ME                                 corresponding parts of congruent triangles                                    are Congruent

hope this helps!

The graph of y = -3x + 4 is a straight line that passes through the point (0,4) and has a slope of -3.

To graph it, you would start from the y-intercept (0,4) and then move 3 units to the left and 1 unit up for each x-coordinate.

The graph would look like this:

Answer:

number 1 is 8.88 and number 2 is 9.62

explanation: i took the test and it said that :) hope that helped

Answer:

1.  is 8.88

2.  is 9.62

Step-by-step explanation:

I hope this helps if it doesn't please message me I will try to get back to you :)

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

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Answer:

JKM IHF

Step-by-step explanation:

Those are outer obtuse angles

Answer:

∠JKM and ∠IHF are alternate exterior angles

P = (9dollars/hour) * (h hours)

Hope that helps!

Answer:

\(y=\frac{1}{2} x + \frac{7}{2}\)

Step-by-step explanation:

Hi there!

We are given the points (5, 6) and (9, 8) that are contained in a line

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

First, we need to find the slope of the line

The slope (m) can be found with the equation \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points on the line

We have everything we need to find the slope, but let's label the values of the points to avoid any confusion and mistakes when calculating

\(x_1=5\\y_1=6\\x_2=9\\y_2=8\)

Now substitute into the formula

m= \(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{8-6}{9-5}\)

Subtract

m=\(\frac{2}{4}\)

Simplify

m = 1/2

The slope of the line is 1/2

Substitute this into the formula (replace m with 1/2)

y = 1/2x + b

Now we need to find b

As the equation passes through both (5, 6) and (9, 8), we can use either one of those points to help solve for b

Taking (5,6) for example:

6 = 1/2(5) + b

Multiply

6 = 5/2 + b

Subtract 5/2 from both sides

7/2 = b

Substitute 7/2 as b into the equation

y = 1/2x + 7/2

Hope this helps!

Topic: finding the equation of the line

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

Step-by-step explanation:

a.

\(2^3*2^{-3}=2^0\\b.\\\frac{2^3}{2^5} =2^{-2}\\c.\\2^{-3}*5^{-3}=10^{-3}\)

Answer:

It's correct!

Step-by-step explanation:

20.9/10000=0.00209

pls mark me as brainliest!

Answer:

35

Step-by-step explanation:

Answer:

350-315=35

(35÷350)×100

=10%

Answer:

10%

Step-by-step explanation:

I subtracted the number of total students by the ones that went on the field trip.

350 - 315 = 35

35 students did not go on the field trip.

We can turn this into a fraction:

\(\frac{35}{350}\)

\(\frac{35}{350}\) = \(\frac{1}{10}\)

\(\frac{1}{10}\) = 10%

10% of students did not go on the class field trip.

The binomial variable with mean 17 transformers and standard deviation √2.55 transformers.

In math standard deviation is defined as a measure of how dispersed the data is in relation to the mean.

Here we have know that the good electrical transformers operate at approximate 85% of the total time and 20 electrical transformers are chosen at random.

Here let us assuming the variable is a binomial variable.

Then we have written it as in the following form,

=> Mean = number of samples * probability

And the value of standard deviation is calculated as

=> Standard Deviation = √mean (1 − probability)

Here we know that the value of mean is calculated as,

=> 85% * 20 = 0.85*20 = 17 transformers

Then the value of Standard deviation is calculated as,

=> √mean * (1 − 0.85)

Apply the values on the formula, then we get,

=> √17 * 0.15 =√2.55 transformers.

Hence the random variable is a binomial variable.

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The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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Answer:

value of IJ is 10

because sides of a similar triangle are equal.

Step 1. The multiplication we have is:

This is a multiplication between a fraction and a whole number. To make the multiplication, the first step is to convert the whole number into a fraction:

And thus, the expression now is:

Step 2. To multiply the two fractions, we use the following rule:

Applying this rule to our multiplication:

Solving the multiplications:

Step 3. Simplify the result.

The result is:

But we can still simplify the result since both numbers are multiples of 3, we divide both numbers by 3.

18/3=6 and 15/3=5, thus, the simplified expression is:

Answer:

Answer:

7 + (8 × t) = p, 15 + (6 × t) = p

Step-by-step explanation:

The equation you can use for charging a $7 entrance fee and then $8 for each ride ticket can look like this:

(let t = ride ticket & p = price)

The equation you can use for charging a $15 entrance fee and then $6 for each ride ticket can look like this:

Therefore, the equations you can use are listed above.