Question 2 of 15, Step 1 of 11/15Correctz varles directly as V and inversely as y'. if2 = 224 when x = 9 and y = 6, find zifx = 64 and y = 9. (Round off your answer to the nearest hundredth)

Answer:

For this exercise we need to solve the next equation:

3 +6x = 2x + 27

We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

2 * 6 + 27 = 39

And we have seen our result is correct

The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.

The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.

This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.

know more about torsion balance here

https://brainly.com/question/28876843#

#SPJ11

Answer:

There is no such symbol as that. However, if it is :, then it probably means division.

Step-by-step explanation:

Google the signs if I'm incorrect.

Nisha solved an equation given, and she made a mistake in the third step. The correct option is c. step 3.

An error in math is a mistake in solving any arithmetic equation or calculation. It can be calculating wrong or left a step.

Given;

Step 1: 7 b + 3.2 b - 5 = 18.92

Step 2:  10.2 b - 5 = 18.92   (Combining like terms in left side)

Step 3:  10.2b = 23.92   (Adding 5 on both sides)

Step 4:  b = 3.64 (Dividing both sides by 10.2)

But in step 3, she did not add 5 on both sides.

5.2 b = 18.92 incorrect. The correct equation is 10.2b = 23.92

Therefore, the correct option is c. Step 3.

To learn more about errors, refer to the below link:

https://brainly.com/question/12434143

#SPJ1

Answer:

90º

Step-by-step explanation:

A triangle = 180º.

m<Z = 90º

So m<x + m<y = 180 - 90

That equals 90º

Hope that helps!

Answer:

-3/4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

-3/4

Step-by-step explanation:

Answer: 1 tablespoon

Step-by-step explanation:

The value of x is 726 ft.

We have,

Perimeter of the property= 3279 feet

Now, the shape of the property is Trapezium.

and, the dimension of trapezoidal property is

x + 74, x +27, x+ 274 and x

So, the perimeter of trapezoid

3279 = sum of length of side

3279 = x + x + 74 + x + 27 +  x +274

3279 = 4x  + 375

4x = 2904

x = 726 ft

Thus, the value of x is 726 ft.

Learn more about Perimeter here:

https://brainly.com/question/7486523

#SPJ1

The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

Read more about Slope Intercept form at; https://brainly.com/question/1884491

#SPJ1

Answer:

b.15 inches

Step-by-step explanation:

subtract 12 (2 6inch sides) from the perimeter

get 30 and divide by 2 to get 2 sides

Answer:

B. 15 inches.

Step-by-step explanation:

A rectangle shares two pairs of congruent opposite sides.

Perimeter = 42

Let:

the length of the rectangle = l

the width of the rectangle = w = 6

Perimeter = l + l + w + w

Plug in 42 for perimeter &  6 for w in the equation:

42 = l + l + 6 + 6

Combine like terms:

42 = ( l + l ) + (6 + 6)

42 = 2l + 12

Next, isolate the variable, l. Do the opposite of PEMDAS.  First, subtract 12 from both sides:

42 (-12) = 2l + 12 (-12)

42 - 12 = 2l

30 = 2l

Next, divide 2 from both sides:

(30)/2 = (2l)/2

l = 30/2

l = 15

B. 15 inches is the length of the rectangle.

Check:

l + l + w + w = 42

15 + 15 + 6 + 6 = 42

30 + 12 = 42

42 = 42 (True).

~

Answer:8, 30

Step-by-step explanation:

A system of equations that model each farmer's kents as days increase: y = 41 + 6x (farmer Naxvip)

y = 115 - 3x (farmer Boondin)

In this question, we have been given farmer Naxvip started with 41 kents on hos farm. Everyday he collected 6 more of them.

And farmer Boondin started with 115 kents on hos farm. Everyday he destroyed 3 more of them.

We need to write a system of equations in slope intercept form to model each farmer's kents as days increase.

Let y be the farmer's kents and x be the number of days.

The slope intercept form : y = mx + c

where m is the slope and c is the y-intercept.

For farmer Naxvip's kents we get an equation,

y = 41 + 6x

For farmer Boondin's kents we get an equation,

y = 115 - 3x

Therefore, a system of equations that model each farmer's kents as days increase: y = 41 + 6x (farmer Naxvip)

y = 115 - 3x (farmer Boondin)

Learn more about system of equations here:

https://brainly.com/question/24065247

#SPJ1

The vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.

To find the vertex, focus, and directrix of the parabola with the equation 5x^2 + 16y, we can use the standard form of the equation for a parabola:

y = (1/4p)(x - h)^2 + k

where (h, k) is the vertex and p is the distance between the vertex and the focus or the vertex and the directrix.

Comparing the given equation to the standard form, we have:

5x^2 + 16y = 0
=> 16y = -5x^2
=> y = -(5/16)x^2

From this, we can determine that the vertex is at the origin (0, 0).

To find p, we can use the formula p = 1/(4a), where a is the coefficient of x^2. In this case, a = -5/16, so p = 1/(4*(-5/16)) = -4/5.

Therefore, the vertex is (0, 0), the focus is (-4/5, 0), and the directrix is x = 4/5.

In conclusion, the vertex, focus, and directrix of the parabola 5x^2 + 16y = 0 are (0, 0), (-4/5, 0), and x = 4/5, respectively.

Know more about directrix here,

https://brainly.com/question/29498952

#SPJ11

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

<95141404393>

Answer:

43

Step-by-step explanation:

Vertically opposite angles.

Here,

b=43 (being vertically opposite angles )

100 square centimeters are in the area of the largest possible inscribed triangle having one side as a diameter of circle.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Base = 2r = 2*10 = 20 cm

Height = r=  10 cm

Area =  1/2 * base * height

        =   1/2 * 20 * 10

        =   100 square centimeters

To learn more about the area from the given link

https://brainly.com/question/25292087

#SPJ4

Answer:

D

Step-by-step explanation:

Because its not randomly selecting

Answer: Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

equal the equations

(x+20)=(2x-10)

then answer the equation

Step-by-step explanation:

Answer: you did

Step-by-step explanation: your friend ate 1/4 of the candy bar and you ate 1/2

The correct answer is D. Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean.

It is a common measure used to assess the variability or spread of a set of data points. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. The standard deviation is an important statistical tool in many fields, including finance, economics, and engineering.

Standard deviation is a measure of variation or dispersion between values in a set of data. It is a numerical indicator of how widely dispersed possible values are distributed around the mean (or expected value), μ. The lower the standard deviation, the closer the data points tend to be to the mean

Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean. It is a commonly used measure to quantify the amount of variation or dispersion in a set of data values.

to learn more about Standard deviation click here:

https://brainly.com/question/20553308

#SPJ11

Standard deviation is a statistical measure that quantifies the amount of variability or dispersion in a set of data values.

Number indicating how widely spread out possible values are from the mean. The correct answer is D.

It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. Standard deviation provides information about how closely the data points are clustered around the mean, and a larger standard deviation indicates a greater dispersion or variability of the data points from the mean. In other words, it is a measure of how widely the possible values are distributed around the mean.

Learn more about “ Standard deviation “ visit here;

https://brainly.com/question/23907081

#SPJ4

The marginal probability density function for X is 0, and the marginal probability density function for Y is 2e^(-2y).

The marginal probability density function for X is given by fX(x) = ∫fX,Y(x, y) dy. By integrating the joint pdf with respect to y over its entire range, we can find the marginal pdf for X.

fX(x) = ∫(2e^(-2y)) dy, where the limits of integration are 0 to infinity.

Integrating, we get fX(x) = -e^(-2y)|[0,∞) = -0 - (-e^(-2*∞)) = 0 - 0 = 0.

Therefore, the marginal probability density function for X is 0.

The marginal probability density function for Y is given by fY(y) = ∫fX,Y(x, y) dx. Similarly, by integrating the joint pdf with respect to x over its entire range, we can find the marginal pdf for Y.

fY(y) = ∫(2e^(-2y)) dx, where the limits of integration are 0 to 1.

Integrating, we get fY(y) = 2xe^(-2y)|[0,1) = 2e^(-2y) - 0 = 2e^(-2y).

Therefore, the marginal probability density function for Y is 2e^(-2y).

In summary, the marginal probability density function for X is 0, and the marginal probability density function for Y is 2e^(-2y).

Learn more about marginal probability density function here:

brainly.com/question/32669346

#SPJ11

The graph of equation y=-4(x+3) - 2 is as shown below.

In this question we have been given an equation y=-4(x+3) - 2

We need to graph an equation y=-4(x+3) - 2

For x = 0,

y = -4(0+3) - 2

y = -14

For x = 1,

y = -4(1+3) - 2

y = -18

For x = -1,

y = -4(-1+3) - 2

y = -10

The line y=-4(x+3) - 2 passes through points (0, -14), (1, -18) and (-1, -10)

The graph of equation y=-4(x+3) - 2 is as shown below.

Learn more about graph of equation here:

https://brainly.com/question/1971145

#SPJ1

The exact value of a trig function can be found by using the unit circle, the trigonometric identities, tables or a calculator.

To find the exact value of a trigonometric function, there are several methods you can use. Below are a few:

1. Using the Unit Circle: The unit circle is a circle with radius 1 centered at the origin in the coordinate plane. The angles in the unit circle are measured in radians and the coordinates of points on the circle can be used to find the exact values of trigonometric functions. For example, given an angle θ in the unit circle, the x-coordinate of the point on the circle corresponding to θ is cos(θ) and the y-coordinate is sin(θ).

2. Using the Trigonometric Identities: There are several trigonometric identities that relate the values of the six trigonometric functions to one another. These identities can be used to find the exact value of a trigonometric function for certain angles. For example, the Pythagorean identity states that for any angle θ, sin²(θ) + cos²(θ) = 1.

3. Using Tables or a Calculator: Trigonometric tables or a scientific calculator can be used to find the exact values of trigonometric functions for certain angles. The values are often given in degrees, so it is important to convert the angle to radians if necessary.

Learn more about trigonometry on:

https://brainly.com/question/29529966

#SPJ1

Answer:

the answer is d. What is the width of the box, in inches, that

produces the maximum volume?

Step-by-step explanation:

length: 120 - 6w >

Based on the given information, we can determine that the confidence level used was 89.4%.

To determine the confidence level used, we first need to calculate the margin of error.
Margin of Error (ME) = (Upper Limit - Lower Limit) / 2
ME = (5.15 - 3.37) / 2
ME = 0.89

Now, we can use the z-score formula to find the confidence level:
Z = ME / (σ / √n)
Z = 0.89 / (2.75 / √25)
Z = 0.89 / (2.75 / 5)
Z = 0.89 / 0.55
Z ≈ 1.618

Now we will look up this z-score in a standard normal (z) table or use a calculator with an inverse cumulative distribution function to find the corresponding percentage, which is approximately 89.4%.

So, the confidence level used is 89.4%.

learn more about confidence level

https://brainly.com/question/22851322

#SPJ11

Answer:

39C7 or 15380937

Step-by-step explanation:

There are 13 clubs in a 52 card deck. We can remove these from the possibilities. 52-13=39. The rest is simple, choose 7 from 39 using the choose function is 39!/(32!*7!)=15380937. Or just say 39C7 as your answer.

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

To learn more about code

https://brainly.com/question/30974617

#SPJ11

Answer:

Measures of each angle are as follows:

4.     ∠BXC = 20°

5.     ∠FXE = 85°

6.     ∠GXD = 75°

7.     ∠BXF = 75°

Step-by-step explanation:

#4
 ∠BXC is opposite ∠EXD and so it is the same as ∠EXD = 20°

#5
∠FXE is opposite ∠CXG and so it is the same as ∠CXG = 85°

#6
Angles  ∠CXG, ∠GXD and ∠EXD line on a straight line so the sum of these angles must be 180°
∴ m∠CXG + m∠GXD + m∠EXD = 180°

Substituting known values for ∠CXG and ∠EXD we get
85 + ∠GXD + 20 = 180°
105 + m∠GXD = 180°
m∠GXD = 180-105 = 75°

#7
∠BXF is opposite ∠GXD which we computed in #6 to be 75°
So m∠BXF = m∠GXD = 75°