pls help i will give 50 points if you give an explanation

Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

Answer:

3375

Step-by-step explanation:

15 ⋅ 15 ⋅ 15

Multiply  15  by  15 .

225 ⋅ 15

Multiply  225  by  15 .

Answer:

Volume=(length)^3

V= (15×15×15)mm^3 = 3375mm^3

Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

Answer:

3x³ + 12x

Step-by-step explanation:

3x is 3 times x. If we multiply x times x², we get x³. This is because x² can be written as x·x, so if we multiply x by that, we get x·x·x. Since we are multiplying x² by 3x, we get 3x³. Now, we multiply 3x by 4, this gets us 12x. Now, we write it out as 3x³ + 12x.

Answer: $20.56

Step-by-step explanation:

Let's take our given total and use this equation

25.70(n)

n will equal 0.80 in this case, as they left a 20% tip so we need to find out what 80% of 25.70 is first

\(25.70(0.80)\)

$20.56 is the total without the tip!

Answer:

It takes the rock approximately 4.96 seconds to reach the ground

Step-by-step explanation:

The given parameters of the rock thrown down from the hot air balloon are;

The (initial) downward velocity with which the rock was thrown down, u = 20 feet/second

The height of the balloon when the rock was thrown down, h = 220 feet

According to the kinetic equation of motion, we have;

h = u·t + (1/2)·g·t²

Where;

h = The height of the rock when it was thrown = 220 ft.

u = The initial velocity of the rock = 20 ft./s

g = The acceleration due to gravity acting on the rock = 9.81 m/s²

t = How long it takes the rock to reach the ground

Plugging in the values gives;

220 = 20·t + (1/2)×9.81×t²

4.905·t² + 20·t - 220 = 0

Therefore;

t = (-20 ± √(20² - 4×4.905×(-220)))/(2 × 4.905)

t ≈ 4.96, or t ≈ -9.04

Therefore, the time it takes the rock to reach the ground, t ≈ 4.96 seconds.

13) y = 2x - 5

14) y = - x - 4

15) y = -1/2x + 1

16) y = 3/4x - 2

13) Given points: (3, 1) and (1, -3)

Slope intercept form: y = mx + b

m = slope, and slope is found with the expression \(\frac{y2 - y1]}{x2 - x1}\)

In this case: \(\frac{-3-1}{1-3}\) which equals 2

Let's plug in the first given point (3, 1):

1 = 2(3) + b, where b = -5

The equation is then: y = 2x - 5

14) Given points: (-4, 0) and (1, -5)

Slope intercept form: y = mx + b

m = slope, and in this case: \(\frac{-5-0}{1+4}\) which equals -1

Let's plug in the first given point (-4, 0):

0 = -1(-4) + b, where b = -4

The equation is then: y = - x - 4

15) Given points: (-6, 4) and (-2, 2)

Slope intercept form: y = mx + b

m = slope, and in this case: \(\frac{2-4}{-2+6}\) which equals -1/2

Let's plug in the first given point (-6, 4):

4 = -1/2(-6) + b, where b = 1

The equation is then: y = -1/2x + 1

16) Given points: (4, 1) and (8, 4)

Slope intercept form: y = mx + b

m = slope, and in this case: \(\frac{4-1}{8-4}\) which equals 3/4

Let's plug in the first given point (4, 1):

1 = 3/4(4) + b, where b = -2

The equation is then: y = 3/4x - 2

Answer:

i actually dont know the answer i just need

Step-by-step explanation:

points lol sorry shawty

Confidence in math is the belief in one's ability to understand and solve mathematical problems. Developing confidence in math is important because it can help individuals overcome anxiety and fear of math, which can limit their performance and success in the subject.

1) {Bread} -> {Milk}:
Support: 5/10
Confidence: 5/7
Lift: 5/2.4

2) {Beer} -> {Eggs}:
Support: 4/10
Confidence: 4/9
Lift: 4/3

3) {Beer, Bread} -> {Milk}:
Support: 3/10
Confidence: 3/6
Lift: 3/1.8

4) {Bread, Eggs} -> {Diapers}:
Support: 4/10
Confidence: 4/7
Lift: 4/2.6

5) {Milk, Bread} -> {Eggs, Coke}:
Support: 4/10
Confidence: 4/7
Lift: 4/2.6

6) {Beer, Milk} -> {Bread, Diapers}:
Support: 3/10
Confidence: 3/6
Lift: 3/1.8

7) {Bread, Milk, Eggs} -> {Diapers}:
Support: 2/10
Confidence: 2/5
Lift: 2/2.2

8) {Bread, Eggs, Coke} -> {Diapers, Beer}:
Support: 2/10
Confidence: 2/5
Lift: 2/2.2

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Answer:

The Pythagorean theorem is an equation to find the hypotenuse of a tirangle, this equation is c=a2+b2

Step-by-step explanation:

May I have brainliest please? :)

Answer:To find the value of x, bring the all the variable to the left side and bring all of the remaining values to the right side. You then simplify the values to find the answer.

Step-by-step explanation:

Answer:

im not sure bud because i don't know  what is the full question?

Step-by-step explanation:

Answer:

decreasing trend

The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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Answer:

Length of the base of the triangle = 19.37 inch (Approx.)

Step-by-step explanation:

Given:

Area of given triangle = 230.56 square inches

Height of the triangle = 23.8 inches

Find:

Length of the base of the triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of given triangle = (1/2)(Length of the base of the triangle)(Height of the triangle)

230.56 = (1/2)(Length of the base of the triangle)(23.8)

461.12 = (Length of the base of the triangle)(23.8)

(Length of the base of the triangle)(23.8) = 461.12

Length of the base of the triangle = 19.37 inch (Approx.)

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

Answer:

it would be 15

Step-by-step explanation:

because of how the x turns to the negiative 5 which means x2+yy2 is 15

Answer:

Its in my explanation

Step-by-step explanation:

The math is simple and it will only take a few seconds to figure out. Just take your desired millionaire age (when you want to have saved $1 million) and subtract your current age. So, if you want to reach $1 million at age 65 and you're currently 30, you have 35 years to save.

Answer:

3 (for the box), p=1

Step-by-step explanation:

Since they want you to follow the instructions, divide by 2 to get (5p-2p) alone.

6p/2 = 3p (exactly like 6/2)

You will get 3p=5-2p

To solve the rest of the equation, add 2p to both sides (once you add 2p to the left side, it gets rid of it on the right side by canceling it out)

3p=5-2p

+2p  +2p

5p=5

Divide 5p by 5 to get p by itself.

5p/5 = 5/5

That is p = 1

Answer:

Son funciones periódicas con un período de. 2 π. ... La gráfica de y = sin x y = sin x es simétrica con respecto al origen, porque es una función impar. La gráfica de y = cos x y = cos x es simétrica con respecto al eje y, porque es una función par.

Step-by-step explanation:

marque esta respuesta como la más inteligente

The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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The induced magnetic field is proportional to the applied magnetic field B = (μ0σBo/4) sin(wt).

The Induced electric field can be found using Faraday's law:

∇ × E = -∂B/∂t

Since the magnetic field is only changing in magnitude and not direction, we can simplify this to:

E = -∂A/∂t

where A is the magnetic vector potential. The magnetic vector potential for a uniform magnetic field along the z-axis is given by:

A = (Bo/2w) cos(wt) (r^2 - z^2)

where r is the distance from the axis of the disk and z is the height above the center of the disk. Taking the time derivative of A gives us:

∂A/∂t = -(Bo/2) sin(wt) (r^2 - z^2)

So the induced electric field is:

E = (Bo/2) sin(wt) (r^2 - z^2)

The current density can be found using Ohm's law:

J = σE

So the current density is:

J = (σBo/2) sin(wt) (r^2 - z^2)

The current density will be greatest at the center of the disk, and will decrease as we move away from the center. At the edges of the disk, the current density will be zero.

The power dissipated per unit volume is given by:

J⋅E

Substituting the expressions for J and E gives:

J⋅E = (σBo^2/8) sin^2(wt) (r^2 - z^2)^2

c) The total power dissipated in the disk at time t is given by:

∫ J⋅E dV

Integrating over the volume of the disk (assuming it is a cylinder with height h and radius a), we get:

P = (πσBo^2a^2h/4) sin^2(wt)

The average power dissipated per cycle of the field is given by:

(1/T) ∫ P dt

where T = 2π/w is the period of the field. Integrating over one cycle of the field gives:

(πσBo^2a^2h/8)

To heat up the frying pan with 1000 watts of power at a frequency of 20 kHz, we need:

P = (πσBo^2a^2h/4) sin^2(wt) = 1000 watts

σ = 5.96×10^7 S/m (for copper)

Assuming the frying pan has a radius of 20 cm and a height of 5 cm, we have:

a = 10 cm

h = 5 cm

w = 2πf = 125.7 rad/s

Substituting the values and solving for Bo, we get:

Bo ≈ 2.23 T

This seems like a high magnetic field, and it may not be feasible to achieve with typical equipment.

The induced magnetic field at the center of the pan can be found using the Biot-Savart law:

B = μ0∫ J(r')×(r-r')/|r-r'|^3 dV'

Assuming a uniform current density, we can simplify this to:

B = μ0Jπa^2/2

Substituting the expression for J gives:

B = (μ0σBo/4) sin(wt)

At the center of the pan (r=0, z=0), we have:

B = (μ0σBo/4) sin(wt)

The induced magnetic field is proportional to the applied magnetic field

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Answer:

answer of 2a)

He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then

24–16=a

His new account balance is $8.

He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then

8+b=28

His deposited $20 in his account.

He has $28 and spent $34. Let c represent his account balance after he bought the book. Then

28–34=c

His new account balance is -$6.

He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then

−6+d=0

He deposited $6.

answer of 2b)

If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.

please give me brainliest:))

The question states that 1/4 of students at International are in the blue house, with 1/5 votes for Adam and 1/4 for Franklin. To analyze the results, calculate the fraction of votes for each candidate and multiply by the total number of students.

Based on the information provided, 1/4 of the students at International are in the blue house. The vote went as follows: 1/5 of the votes were for Adam, and 1/4 of the votes were for Franklin.

To analyze the vote results, we need to calculate the fraction of votes for each candidate.

Let's start with Adam:
- The fraction of votes for Adam is 1/5.
- To find the number of students who voted for Adam, we can multiply this fraction by the total number of students at International.

Next, let's calculate the fraction of votes for Franklin:
- The fraction of votes for Franklin is 1/4.
- Similar to before, we'll multiply this fraction by the total number of students at International to find the number of students who voted for Franklin.

Remember, we are given that 1/4 of the students are in the blue house. So, if we let "x" represent the total number of students at International, then 1/4 of "x" would be the number of students in the blue house.

To summarize:
- The fraction of votes for Adam is 1/5.
- The fraction of votes for Franklin is 1/4.
- 1/4 of the students at International are in the blue house.

Please note that the question is incomplete and doesn't provide the total number of students or any additional information required to calculate the specific number of votes for each candidate.

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Answer:

y= 1/2x

Step-by-step explanation:

If y is 2 and x is 4

2= 1/2 (4)

2 = 2

1. Both triangles are congruent by: a. angle-angle-side congruence theorem.

Using the trigonometric ratios, we have:

2. C. 9

3. C. 4√3

4. B. sin C

The angle-angle-side congruence theorem states that two triangles are congruent to each other if they both have two pairs of corresponding congruent angles and a pair of non-included congruent side.

To solve any right triangle, the following Trigonometric ratios can be employed:

sin ∅ = opp/hyp

cos ∅ = adj/hyp

tan ∅ = opp/adj.

1. Both triangles can be proven to be congruent based on: a. angle-angle-side congruence theorem.

2. Given the points, A(-2, 6) and B(-2, -3), the distance between both points is:

AB = |6 - (-3)| = 9 units

The answer is: C. 9

3. Apply the sine ratio:

sin 60 = opp/hyp = m/8

m = (sin 60)(8)

m = (√3/2)(8) [sin 60 = √3/2]

m = 4√3

The answer is: C. 4√3

4. Using the sine ratio:

sin C = opp/hyp = 8/17

The answer is: B. sin C

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Answer:

B

Step-by-step explanation:

let me know if you need an explanation, I'll add one :D