What will be the value of Stacy’s investment in 5 years?

Answer: ask a parent or a teacher and read you paragraph again

Step-by-step explanation:

Answer:

slope = 1

y-intercept = -3

Step-by-step explanation:

3y = 3x - 9

divide each side by 3

y = x - 3

slope = 1

y-intercept = -3

Answer:

hey can you give us the buying price of the ticket so we can find the increase? thanks :)

Step-by-step explanation:

The distance from G to the nearest point on the circle is going to be 5.61 cm.

The given figure (image attached below) has the segments GA and GB tangent to a circle at A and B, and AGB is at a 48-degree angle. We have been told that GA = 12 cm. We have to find the distance from G to the nearest point on the circle.

For this, first what we need to do is draw radii to A and B. Next draw OG which bisects the 48-angle G into two 24-angles. Let P be the point where OG intersects the circle. This becomes the distance from G to the nearest point on the circle which we need to find (image attached below).

In the right triangle AOG, radius AO is the side opposite angle AGO-

= Tangent = Perpendicular / Base

= tan(24) = r / 12

= r = 12tan(24)            (i)

For OG -

= cos(24) = Base / Hypotenuse = 12 / OG

= OG = 12cos(24)        (ii)

Now, we subtract (i) and (ii) -

= 12tan(24) - 12cos(24)    

= 5.61 cm

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

(3, –6)

Step-by-step explanation:

A function is a relation where one input is assigned to exactly one output.

This means that no inputs must be repeated in the relation.

(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)

The input of '3' repeats in the relation.

By removing (3, -6), we can make the relation given a function.

Hope this helps.

Answer:-1/2

Step-by-step explanation:answer=-1/2

slope is equal to rise/run = y/x = (y2-y1)/(x2-x1)

(7-8)/(-2-(-4))=-1/2

slope = -1/2

Answer:

5?

Step-by-step explanation:

4x-1                         x + 2

4(1)-1                     (1)+ 2                                     X= 1 is the answer!!!

4 - 1                        1 + 2

=3                            =3

AMY washes the  widows faster than roger

mark brainliest pls i did this in class yesterday

Answer:

First quadrant

Step-by-step explanation:

When both numbers are positive, it is the first quadrant (4,4)

when x is negative but y is positive, its the second quadrant (-4,4)

when both are negative, it is the third quadrant. (-4,-4)

When x is positive but y is negative, it is the fourth quadrant. (4,-4)

Hope this helps!

Question:

Solution:

The intercept form of a quadratic equation (a parabola) is given by the following formula:

where p and q are the x-coordinate of the x-intercept of the parabola. In this case, notice that:

p = 2 and q = 4

then we have the preliminary equation:

EQUATION 1:

now, to find a, replace the point (x,y) = (3,4) in the previous equation. so that, we obtain:

this is equivalent to:

thus

then, replacing a = -4 into the EQUATION 1, we get:

Then, we can conclude that the equation of the given parabola in the intercept form is:

To solve this question we will use the following diagram:

Using the Pythagorean theorem for triangle AEO we get:

Substituting AO=68 yd, and EO=285 yd we get:

Therefore AE=293 yd. Now, the wire required for the long path is:

Therefore you could save:

taking the short route.

Answer: 98yd.

Adam's income is 16.67% less than Pat's income.

Let's assume Adam's income is $100

Then Pat's income is 20% more than Adam's income, which means Pat's income is:

                 $100 + $20 = $120

Now, we need to find out how much percent Adam's income is less than Pat's income. We can use the following formula to calculate the percentage decrease:

Percentage decrease = (Decrease in value / Original value) x 100

Decrease in value is the difference between Pat's income and Adam's income, which is:

                            $120 - $100 = $20

The original value is Pat's income, which is $120

So, the percentage decrease in Adam's income compared to Pat's is:

(20 ÷ 120) × 100

= 0.16666 × 100

= 16.666%

= 16.67% (approx)

Therefore, Adam's income is 16.67% less than Pat's income.

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The total area of the shaded region for the region x = 5y³ , x = 5y² in the interval ( 5, 1 ) is equal to ( 5 / 12 ).

From the attached graph :

The area of the shaded region :

x = 5y³ , x = 5y² for the interval ( 5, 1 ) is equal to :

= \(\int\limits^1_0 {( 5y^{2 } - 5y^{3 }}) \, dy\)

=  [ ( 5y³/3 ) - ( 5y⁴ / 4 ) ]\(| \limits^1_0\)

Substitute the lower limit and upper limit we get,

= (5 /3 )( 1 )³ - 0  - ( 5 / 4 )( 1⁴) + 0

= ( 5 / 3 ) - ( 5 / 4 )

= ( 20 - 15 ) / 12

= 5 / 12

Therefore, the total area of the shaded region in the given graph for the lower and upper limit is equal to ( 5 / 12 ) .

The given question is incomplete, I answer the question in general according to my knowledge:

Find the total area of the shaded region x = 5y³ , x = 5y² for the interval

( 5, 1 ).

Graph is attached.

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Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

Answer:

2x8=16

3x5=15

Step-by-step explanation: I hope you have/had an amazing day<3

Answer:

ITS D GOOD LUCK WITH YOUR HMK

Answer:

C) 7\(\sqrt{2}\)

Step-by-step explanation:

in an isosceles triangle, the hypotenuse equals a leg multiplied by \(\sqrt{2}\)

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

Mathematically, the volume of a pyramid is given by the formula:

\(Volume = \frac{1}{3} \times base\;area \times height\)

For the base area:

The area of a right triangle is given by:

\(A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}\)

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

\(234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}\)

h = 13 units.

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Step-by-step explanation:

50°+ 30° = 80° The value of x

Reason is The sum of interior angle is equal to the exterior one.

The range is {y | −7 ≤ y ≤ 2}.

Range is defined as the difference between the largest and smallest item in a distributiοn.

The range οf the functiοn is {y | −7 ≤ y ≤ 2}.

The graph starts at an οpen circle at negative 3 cοmma negative 7 and increases tο a maximum pοint at 0 cοmma 2 befοre decreasing again tο a clοsed circle at 2 cοmma negative 2. Therefοre, the lοwest pοint οf the graph is at y = -7 and the highest pοint is at y = 2.

Since the graph is cοntinuοus and the parabοla is symmetric arοund its vertex, every y value between -7 and 2 is included in the range.

Hence, the range is {y | −7 ≤ y ≤ 2}.

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Answer:

driven by a desire to regain the land it had lost to Britain

Step-by-step explanation:

Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.

Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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The approximate population in 2016 is 91, 604 population

The exponential equation representing the statement is \(P=P_0e^t\)

Substituting into the formula will give:

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

\(P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70\)

Hence the approximate population in 2016 is 91, 604 population

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The correct answer is d. 840

The problem ask us to compute the permutations of 7 objects in groups of 4.

To compute this, we use the formula:

Then for P(7,4):

Then P(7,3) = 840

Answer: 15cm

Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm