1. Consider the following propositions
• P: 2+5=3
. Q: Warsaw is the capital of Poland.
. R: The US has the largest population in the world.

Answer:

It can't be simplified. 4/35 IS simplest form.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that

2)

Given the expression

f(x) = 3x + 4/3 x³ - 7

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

3)

Given the expression

g(x) =- 5x³ + x - 3/x

The given expression is NOT a polynomial as any term of a polynomial can not have exponent as -1.

For example, the term 3/x or 3x⁻¹ has negative exponent -1.

Thus, g(x) =- 5x³ + x - 3/x

4)

Given the expression

h(x) =x³√5 + x - 3

The given expression is a polynomial with degree 3 (highest power of any variable) and having 3 terms

5)

Given the expression

k(x)=25x²-x³+x⁵

The given expression is a polynomial with a degree of 5 (highest power of any variable) and having 3 terms.

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer:

2cm

Step-by-step explanation:

vbjufdxcvhjjkknvxzdhjkbcxdf

It should be noted that the value of the equation will be 120 + 4w.

From the complete question, Iris has 120 songs on her playlist while she downloads 4 songs every week.

Therefore, the expression to show the total number of songs on iris playlist after w weeks will be:

= 120 + (4 × w)

= 120 + 4w

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Answer:

120+4w

Step-by-step explanation: took quiz

Answer:

80%

Step-by-step explanation:

To write 4/5 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol %. 4/5 * 100 = 0.8 * 100 = 80% And finally we have: 4/5 as a percent equals 80%

Answer:

0.80

Step-by-step explanation:

1/5=0.20

1/5×4=0.80

Answer:

it has only one solution x = 0

Step-by-step explanation:

4x² = 0

⇔ x² = 0   (4 > 0)

⇔ x = 0  (the formula: x² = 0 ⇔ x = 0)

Answer:

f(1/3) = 6

Step-by-step explanation:

f(x) =-3x+7

Let x = 1/3

f(1/3) =-3*1/3+7

        = -1 +7

       = 6

Answer:

f(1/3) = 6

Step-by-step explanation:

The function is:

● f(x) = -3x+7

Replace x by 1/3 to khow the value of f(1/3)

● f(1/3) = -3×(1/3) +7 = -1 +7 = 6

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

The equation of the ellipse  derived as is

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1.

The equation of foci is

F₁ = (h - √(a^2 - b^2), k) , F₂ = (h + √(a^2 - b^2), k)

An ellipse is  described as a set of points in a plane such that the sum of the distances from each point to two fixed points, called foci, is constant.

We can write the equation of an ellipse as:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

where (h, k) = the center of the ellipse,

a = the semi-major axis,

and b = the semi-minor axis.

The foci of the ellipse are located along the major axis and are equidistant from the center, with a distance of : √(a^2 - b^2).

we know also the formula to find the foci of an ellipse is:

F₁ = (h - √(a^2 - b^2), k)

F₂ = (h + √(a^2 - b^2), k)

The sum of the distances from each point on the ellipse to the foci is constant. The equation can then be written as:

2a = √((x - h + √(a^2 - b^2))^2 + (y - k)^2) + √((x - h - √(a^2 - b^2))^2 + (y - k)^2)

Simplifying, we then can write  the equation of the ellipse as:

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

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The equation of the height of the rock is governed by:

This is in the vertex form, which is:

Now,

matching the vertex form with our equation, we see that:

b = 2 [thus, the maximum occurs at x = 2 seconds.

Let's find the max height by putting "2" into the equation:

The maximum height is 80 feet

We can say that the two triangles are identical, then, the angle GPK is equal to the angle KPH, then we write the following equation:

Now we know the value of x, we can return to the equation and find the value of the angle GPK

Therefore, the measure of the angle GPK is equal to 50 degrees

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

(x,y)=(4,-9)

Step-by-step explanation:

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The solution of the equation means the value of the unknown or variable.

The system of the equation is given below.

7x + 4y = – 8      …1

8x + 5y = –13     …2

Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have

32x – 35x = –52 – (–40)

          –3x = –12

              x = 4

Substitute the value of x in equation 1, then the value of y will be

7(4) + 4y = – 8

 28 + 4y = –8

          4y = –36

            y = –9

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

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The sum of the geometric progression is the sum S₃ = 32

The sum of terms of a geometric progression is given by

Sₙ = a(rⁿ - 1)/(r - 1) where

Given the geometric progression, aₙ = 4(2)ⁿ⁻¹ comparng it with the general term of a geometric sequence aₙ = arⁿ⁻¹, then

Now, we desire S₃, that is Sₙ when n = 3.

So, S₃ = a(r³ - 1)/(r - 1)

= 4(2³ - 1)/(2 - 1)

= 4(8 - 1)/1

= 4(8)

= 32

So, the sum S₃ = 32

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Answer:

one staple  weighs 2.0 × 10⁻³ Oz

Step-by-step explanation:

Given that;

Number of staples = 6 × 10³

Weight of box = 12 Oz

How much does one staple  weigh = ?

Weight of One Staples = Weight of box / Number of staples

we substitute;

Weight of One Staples = 12 Oz / 6 × 10³

Weight of One Staples = 2.0 × 10⁻³ Oz

Therefore, one staple  weighs 2.0 × 10⁻³ Oz

We have the following equation:

since we need P, we must move k and V to the left hand side as

By substituting the given values, we get

that is, P is equal to 2.

Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

Answer: A ≈ 74.35

Step-by-step explanation: Explanation below.

Equation which can be used to solve for the value of x is

3x° + 2x° + 80 °= 180° .

Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.

As shown in the diagram angle on the lines are -

3x ° , 80° , 2x° respectively

Sum of all these angle will be equal to 180°.

3x° + 2x° + 80° = 180

The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .

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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36

Step-by-step explanation:

A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

AB = BA is the commutative property of multiplication.

- AB + AB equals zero and is therefore eliminated from the expression.

Pharaphrase it if used.

Answer:

negative linear relationship

Step-by-step explanation:

The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

Step-by-step explanation:

4/mx

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

A.

\(4x {}^{2} + \frac{3}{2} x - 7\)

Step-by-step explanation:

Add theses functions

\( \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7\)

Answer:

88

Step-by-step explanation: