Sienna had 95 inches of ribbon she cut off 28.50 inches how many inches of ribbon remains

The value of the rational expression is q⁴ / 14p⁴

A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.

Given are rational expressions,

5pq / 16p³ ÷ 35p²q² / 8q⁵

Using identity, a/b ÷ c/d = a/b × d/c

5pq / 16p³ × 8q⁵ / 35p²q²

= 40q⁴ / 560p⁴

= q⁴ / 14p⁴

Hence, the value of the expression is q⁴ / 14p⁴

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Answer:

  $85

Step-by-step explanation:

Let y represent Timmy's money after x weeks. If we assume that the only money Timmy has is what is mentioned in the problem statement, then ...

  y = 50 +5x . . . . . $50 initially plus $5 for each week

After 7 weeks, x = 7, so Timmy's fortune will be ...

  y = 50 +5(7) = 50 +35

  y = 85

Timmy will have $85 in 7 weeks.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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Answer:

It is a cord

Step-by-step explanation:

i just took the quiz and got it right :)

Answer:

D. arc

Step-by-step explanation:

everyone keeps saying its "chord" but I tried that and I got it wrong...

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 diveded by 3 I think

Answer:yes 12 +5

Step-by-step explanation:Idrk

Answer:

12 + 5

Step-by-step explanation:

The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.

The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.

To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.

Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.

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Answer:

66%

Step-by-step explanation:

15% of homes have both features.

The percentage of homes that have a pool and no garage is:

Pool only = 19% - 15% = 4%

The percentage of homes that have a garage and no pool is:

Garage only = 62% - 15% = 47%

Therefore, the percentage of homes that have a pool, a garage or both is:

\(P = 4\%+47\%+15\%\\P=66\%\)

Answer:

Important Ideas:    

Led American troops in War

Led Constitutional Convention
Served as first US President

Minor Details:
Had a $25,000 yearly salary

Had problems with teeth
Had a brother named Lawrence

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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For w = \(7\frac{1}{2}\) makes the equation true.

What is solving an equation ?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

\(\frac{2}{3}(w+3)=7\)

Multiplying both sides by 3, we get

\(\frac{2}{3}(w+3)(3)=7(3)\\ 2(w+3)=21\\2w+6=21\)

Subtract 6 from both sides,

2w + 6 - 6 = 21 - 6

           2w = 15

Divide both sides by 2,

\(w = \frac{15}{2}\)

15/2 can be written as,

\(7\frac{1}{2}\)

Hence, the value of w is, \(7\frac{1}{2}\).

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The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

-8<y<8

Step-by-step explanation:

8y(3y−10)<(5y−8)^2

24y^2 -80y<25y^2 +64-80y

24y^2<25y^2 +64

y^2<64

-8<y<8

i hope this helps

Answer:

f(5) = 15

Step-by-step explanation:

f(2) = f(2-1) + 3

= f(1) + 3

= 3 + 3

= 6

f(3) = f(3-1) +3

= 6 + 3

= 9

f(4) = f (4-1) + 3

= 9 + 3

= 12

f(5) = f(5-1) + 3

= 12 + 3

= 15

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Based on the fact that the vehicle's fuel efficiency is not less than 35 miles per gallon, using f to represent the vehicle's fuel efficiency gives f ≥ 35.

The fuel efficiency of the vehicle is no less than 35 miles per gallon. This means that the fuel efficiency is either 35 miles per gallon, or greater than 35 miles per gallon.

Assuming f is meant to represent this fuel efficiency of a vehicle, this means that f can be shown as being either greater than, or equal to 35 miles per gallon.

A representation of this would be:
f ≥ 35

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Because the line BC is parallel to the proposed movement to the vertex C, it means that this movement will not interfer in the position of the line BC in relation to the line AB, and for this reason the angle B will be the one that will not change in this movement.

Now, we know also that the sum of internal angles in the triangle must be always constant, if the angle C starts to decrease, because of the increasing of BC, and the angle B remains unchanged, the angle A must also change to maintain the sum not changed. Because the angle C decreases, the angle A must decrease in the same proportion.

From the solution developed above, we are able to conclude that the correct answer is:

A. by showing that as BC increases, the angle A increases.

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

x>9

Step-by-step explanation:

3x+2−2>29−2

3x>27

divide by 3

3x/3>27/3

To find y when x = 4.

y = kx (k is a constant)

to find the constant:

5 = k8

8 ÷ 5 = 1.6

k = 1.6

because 5 times 1.6 = 8

so now:

y = kx

y = 1.6 x 4

y= 6.4

Hence the area of the second rhombus is 45 square meters

The area of a rhombus is expressed as

A = base * height

For the rhombus with an area of 5 square meters and a side length of 3 meters

Height = Area/length

Height = 5/3 metres

Since the length of a similar rhombus is 9meters, the scale factor will be expressed as;

k = ratio of the lengths = 9/3

k = 3

Height of the second rhombus = 3 * height of the first rhombus

Height of the second rhombus = 3 * 5/3

Height of the second rhombus = 5 meters

Area of the second rhombus = length * height

Area of the second rhombus = 5 * 9

Area of the second rhombus = 45 square meters

Hence the area of the second rhombus is 45 square meters

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The correct option is option B;

(B) 45 square meters

The known parameters in the question are;

The area of the rhombus, A₁ = 5 m²

The length of one of the sides of the rhombus, a = 3 m

The length of a side in a similar rhombus, b = 9 m

The unknown parameter;

The area of the second rhombus

Strategy or method;

We have that two shapes are similar if their corresponding sides are proportional

From the above statement we get that the ratio of the areas of the two shapes is equal to the square of the ratio of the lengths of the corresponding sides of the two shapes of follows;

\(\begin{array}{ccc}Length \ Ratio&&Area \ Ratio\\\dfrac{a}{b} &&\left (\dfrac{a}{b} \right)^2 \\&&\end{array}\)

Let the area of the second rhombus be A₂, we get;

\(Area \ ratio = \dfrac{A_1}{A_2} = \left( \dfrac{a}{b} \right)^2\)

Where;

a = 3 m, b = 9 m, and A₁ = 5 m², we get;

\(Area \ ratio = \dfrac{5 \ m^2}{A_2} = \left( \dfrac{3 \, m}{9 \, m} \right)^2 = \dfrac{1}{9}\)

Therefore;

9 × 5 m² = A₂ × 1

A₂ = 45 m²

The area of the second rhombus, A₂ = 5 m².

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The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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It should be noted that the composite function for hg(x) = -1 + (3/2)x^4.

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

(a) (i) To find g(-2), we substitute -2 for x in the expression for g(x):

g(-2) = 2 - 3(-2)^4 = 2 - 3(16) = 2 - 48 = -46

(ii) To express the composite function hg in the form hg(x), we need to find h(g(x)) and simplify the expression.

h(g(x)) = h(2 - 3x^4) = 3(2 - 3x^4)/2 - (2 - 3x^4) = 3 - 9x^4/2 - 2 + 3x^4 = -1 + (3/2)x^4

Therefore, hg(x) = -1 + (3/2)x^4.

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Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y   -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4  = 0

-67y^2 +270y +  4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and  -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

Answer: (2, -1) is where they intersect.

The sale price of coat is $180 and the sale price of boot is $284 when 20% off a coat and a pair of boots are now  on sale.

Given that,

20% off a coat and a pair of boots are now  on sale. The coat normally sells for $225. The boots cost $130 on the open market.

We have to find the coat's sale price and what is the cost of the boots on sale.
We know that,

The formula for the sales price is S = P - PD

Where, S is sales price, P is the original price and D is the discount percent.

P = 225 and D = 20%

S = 225 - 225 × 20%

S = 225 - 45

S = $180 is the sale price of coat.

Now,

Total regular price = 225 + 130 = 355

S = 355 - 355 × 20%

S = $284 is the sale price of boots.

Therefore, The sale price of coat is $180 and the sale price of boot is $284.

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Answer:i don't know

Step-by-step explanation: