A proportional relationship is represented with the equation y=5x. What is the constant of proportionality of the relationship?
PLZ HELP

Answer:

15

Step-by-step explanation:

When you see something like f (18), this means 18 needs to be plugged in for x

let's plug in 18

f (18) = \(\frac{2}{3} (18) + 3\)

Let's solve

(18 × 2) ÷ 3 = 12

12 + 3 = 15

f (18) = 15

Answer:

K = 5 ; 125 m

Step-by-step explanation:

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

Given that:

Distance α (Timetaken)²

Distance = d ; Timetaken = t

d = Kt²

K = constant of proportionality

80 = k4²

80 = 16k

K = 80 / 16

K = 5

Distance it would fall in 5 seconds ; t = 5

D = Kt²

D = 5 * 5²

D = 5 * 25

D = 125

It will fall a distance of 125 m in 5 seconds.

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

#SPJ1

For you to make 5 pecan pies, it would be necessary to buy 1.9 pounds of pecans.

Based on the information displayed on the label 1 cup of pecans is equal to 99 grams.

We know 1 pecan pie requires  1 3/4 cups or 1.75 cups (3/4 = 0.75)

1.75 x 5 = 8.75 cups in total

Now, let's calculate this in grams:

8.75 x 99 = 866.22 grams

Finally, let's calculate the pounds

1 pound = 453

 x           = 866.22

x = 866.22 / 453 = 1.9

Learn more about ratios in https://brainly.com/question/13419413

#SPJ1

Answer:

Area = 324ft²

Perimeter = 72ft

Step-by-step explanation:

Area of a square = length²

Area of a square = (18ft)² = 324ft²

Perimeter of a square = 4*length

Perimeter of a square = 4ft*18 = 72ft

The identification of the solid shapes are;

1. Triangular prism

2. cylinder

3. sphere

4. cone

5. cuboid

6. pyramid

7. pyramid

8. sphere

9. cylinder

10. pyramid

11. cube

12. cube

13. cone

14. cylinder

15. sphere

16. cylinder

Solid shapes are three-dimensional (3D) geometric shapes that occupy some space and have length, breadth, and height. Solid shapes are classified into various categories. Some of the shapes have curved surfaces; some of them are in the shape of pyramids or prisms.

Examples of solid shapes include: prisms, pyramids, cone , cylinder, sphere cuboid , cube e.t.c

learn more about solid shapes from

https://brainly.com/question/29455884

#SPJ1

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

To know more about simple interest visit:

brainly.com/question/22699071

#SPJ1

complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

Given

a=-5

b=2

c=1

i) b - a + c

= 2 -(-5) + 1

=2 + 5 + 1

=8.

ii)2b + 6c

= 2(2) + 6(1)

=4 + 6

=10.

iii) abc = (-5)(2)(1)

= -10.

iv) -2ab/c

= -2(-5)(2)/1

= 20.

The equation y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second.

i) Direction of wave propagation is negative x-axis.

ii) The wave speed is 1.25m/s.

iii)The maximum displacement from the mean position (i.e., the amplitude of the wave) is 0.16 m.

iv)The wave pulse is symmetric.

We compare the given wave equation from the standard wave equation. On comparing, direction and wave speed is found out. The Remaining two parts are found by maxima concept and changing x by −x at t=0 to get a wave is symmetric.

Moving pulse is given by

⇒y(x,t)=0.8[(4x+5t)2+5]

Comparing (4x+5t) with (ax+bt) then we get,

⇒a=4 and b=5 ⋯⋯⋯(1)

(i) When coefficients of x and t are positive then the wave pulse is moving negative x-direction. So, given an equation with coefficients a = 4 and b= 5 are positive. Therefore, the direction of the given equation will be negative x axis.

(ii) After getting the coefficient a and b, we can calculate the speed by determining the value of b/a. And we have value of a =4 and b =5 from the equation (1) .Then speed of the wave will be

=> b/a=5/4

=> speed of the wave =1.25m/s

(iii) To get the maximum displacement from the mean position we put (4x+5t)=0. As the denominator is minimum, the fraction will be maximum. Therefore displacement will be

=> y=0.85, putting the (4x+5t) is equal to zero.

After simplify we get,

=> y=0.16 m

Hence maximum displacement is 0.16m from the mean position,

(iv) We replace x by −x and also put t= 0 in the given equation. If the equation does not change, replacing the x by −x, it will be symmetric otherwise not.

Putting t=0 in the given equation y(x,t) we get,

=> y=0.8(4x)2+5

Now replace x by −x on the above equation we get, y=0.8(4x)2+5

there will not be any change. Therefore, the given equation is symmetric.

To learn more about moving Wave , refer:

https://brainly.com/question/14546637

#SPJ4

Complete question:

If y(x,t)=0.8[(4x+5t)2+5] , represents a moving pulse where x and y are in meter and t is in second. Find

(i) Direction of wave propagation.

(ii) The wave speed.

(iii) The maximum displacement from the mean position (i.e., the amplitude of the wave)

(iv) Whether the wave pulse is symmetric or not.

Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

To learn more about arithmetic operations, visit:

https://brainly.com/question/4721701

#SPJ1

Answer:

Make sure you have a way to prove that you didn't. like maybe the work that you've shown for the assignment.

Step-by-step explanation:

Answer:

Just put quotaitions and sight ur scourse that ALWAYS helps and if they say ur still plaigerizing just tell your parent sif ur homeschooled!

860. Round down, since your ones place contains a 1.

please mark brainliest and have a great day

Answer:

860

Step-by-step explanation:

because it's rounding to the nearest ten and its only 1 you round it to 60

Answer:

0.9 Litres or 900 ml

Step-by-step explanation:

First we will find out the total volume of Sunflower oil he has.

Sunflower Oil bought = 6 cana x 3 litre = 18 litres

Now we divide this 18 litres into 20 parts to find out the volume of sunflower oil per bottle:

\( \frac{18}{20} \\ = \frac{9}{10} \\ = 0.9litres \: or \: 900ml\)

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

To know more about quadratic equation visit,

https://brainly.com/question/1214333

#SPJ1

Answer:

b

Step-by-step explanation:

ax^2+bx+c=0

1/2x^2-3x-2=0

Answer:

B

Step-by-step explanation:

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

for such more question on acceleration

https://brainly.com/question/25256383

#SPJ8

The solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

What is square of a number?

The square of a number is the result of multiplying the number by itself. In mathematical notation, the square of a number "\(x\)" is written as "\(x^2\)".

Let's call the number we are looking for "x".

According to the problem statement, we have:

\($$x^2 = 6 - x$$\)

We can rearrange this equation to get:

\($$x^2 + x - 6 = 0$$\)

Now, we can factor the left-hand side of this equation:

\($$(x + 3)(x - 2) = 0$$\)

So, either \($x + 3 = 0$\) or \(x - 2 = 0$.\) Solving for x in each case gives us:

\($$x = -3 \text{ or } x = 2$$\)

Therefore, the solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

To learn more about square of a number visit:

https://brainly.com/question/27307830

#SPJ1

Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

Read more on survey here:https://brainly.com/question/14610641

#SPJ1

The area of the hexagon is 1344 square centimeters for the given perimeter and apothem.

The distance between a polygon's midpoint and any one of its sides is the polygon's apothem. The radius of the polygon's inscribed circle is equal to the perpendicular distance that runs from the centre to the side of the polygon. The formula for computing the area of regular polygons uses the apothem, which is a crucial component for determining their area.

The area of hexagon is given by the formula:

Area = (Perimeter x Apothem) / 2

Substituting the given values we have:

Area = (96 cm x 14 cm) / 2

Area = 1344 sq. cm

Hence, the area of the hexagon is 1344 square centimeters.

Learn more about apothem here:

https://brainly.com/question/29074297

#SPJ1

For a line with a slope a and a known point (h, k), the point-slope form is:

y = a*(x - h) + k

A general linear equation can be written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through a point (h, k), then the point-slope form of that line is:

y = a*(x - h) + k

Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:

y = a*(x - 0) + b

y = a*x + b

Learn more about linear equations by reading:

https://brainly.com/question/1884491

#SPJ1

Answer:

9 minutes

Step-by-step explanation:

9514 1404 393

Answer:

  a) -1

  b) 4A -3

Step-by-step explanation:

a) The function for x < 2 simplifies to ...

  f(x) = (x -3)(x -2)/(x -2)

  f(x) = x -3

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

The limit is -1.

__

b) The value for x=2 is ...

  f(2) = A(2^2) -4(2) +5

  f(2) = 4A -3 . . . . the limit at x→2+

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

Learn more about word problem

https://brainly.com/question/21405634

#SPJ1

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.

In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.

To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),

we can set the function equal to zero and solve for x.

Setting h(x) = 0, we have:

(x - 6)(x^2 + 8x + 16) = 0

Setting x - 6 = 0, we find:

x = 6

Setting x^2 + 8x + 16 = 0,

we can attempt to factor or use the quadratic formula.

Therefore, the function:

h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.

Learn more about function on https://brainly.com/question/11624077

#SPJ1

The division of  8 1/2 by the positive difference between 4 4/5 and 7 7/10 is 85/29.

We can find the difference between 4 4/5 and 7 7/10, but we will need to convert the mixed number into the improper fraction as

Then we have 24/5 and 77/10, then the difference between the values are:(77/10 - 24/5) = 29/10

Then we can proceed to find the division of this number that we got from the difference as ( 29/10)/  8 1/2

But we can make the  8 1/2 as improper fraction from the mixed fraction it was 17/2

Then the division of the values will be   ( 17/2)/ ( 29/10)  = 85/29

Therefore the division is 85/29.

Learn more about Division at:

https://brainly.com/question/25289437

#SPJ1

Answer:

A = 706.5 ft 2

Step-by-step explanation:

A = π ( 15  ft ) 2

A = π 225ft 2

A = 225 π  ft 2

A = 225 ⋅ 3.14  ft 2

Answer:

Step-by-step explanation:

a

Answer:

b

Step-by-step explanation:

between gallons and Fluid Ounces.because The chart below shows the conversion

Answer: B

Step-by-step explanation: