Isolate I for the literal equation


V = IR


A. \(V = \frac{I}{R}\)


B. \(R = \frac{V}{I}\)


C. \(I = \frac{V}{R}\)


D. \(I = VR\)

10.59 is the value of the given side b.

In our case, we know that side A has a length of 15 units and is opposite angle A, which measures 27 degrees.

Using the sine rule, we can write:

b/sin(27°) = 15/sin(40°)

To find the value of b, we can rearrange the equation:

b = (15 * sin(27°)) / sin(40°)

evaluate the trigonometric functions and calculate b:

b ≈ 10.59

Therefore, using the sine rule of the triangle, we find that the value of side b is approximately 10.59 units.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Answer:

B - ∠b and ∠f

Step-by-step explanation:

Corresponding angles are the angles in matching corners of the intersections in the traversal. Since ∠b and ∠f are in the same position relative to the intersection, they are corresponding.

Hong rode the scooter for approximately 86 minutes.

Let's start by using algebra to solve for the number of minutes Hong rode the scooter.

Let's say the number of minutes Hong rode the scooter is "m". Then, we can set up the following equation:

Total cost = $5 fee + 9 cents per minute x m minutes

$12.74 = $5 + $0.09m

Next, we'll solve for "m" by isolating it on one side of the equation:

$12.74 - $5 = $0.09m

$7.74 = $0.09m

m = $7.74 ÷ $0.09

m ≈ 86

Therefore, Hong rode the scooter for approximately 86 minutes.

To know more about cost related question visit:

https://brainly.com/question/30045916

#SPJ1

Based on the graph, the situation that best matches what the data on the table shows is C. Elyse soends $3 for movie rentals and the beginning balance in her account is $18. Her movie card balance decreases by $3 everytime she rents a movie.

The data on the graph shows the amount of money that was spent by Elyse for every movie she rented. She did so with the use of a gift card. Based on the fact that the graph begins at $18, this means that the amount on the gift card was $18.

The amount that Elyse spent per movie was:

= Change in amount on gift card / Change in movies rented

= (18 - 12) / (2 - 0)

= 6 / 2

= $3

Elyse therefore spent $3 whenever she rented a movie.

Find out more on matching data at https://brainly.com/question/23957040

#SPJ1

The curved surface area of the cone is 60\(\pi\).

Given height {h} = 8cm

radius {r} = 6cm

so, now

Now the curved surface area = \(\pi rl\)

                                                 = \(\pi\)×6×10

                                                 =60\(\pi\)

So the curved surface area of the cone is 60\(\pi\)

To learn more about the curved surface area

https://brainly.com/question/27987869

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Answer:

(-10,3),(9,0)

Step-by-step explanation:

The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.

Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²

Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:

TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²

= 20L + 125 + 25L - 0.03L² - 5

= -0.03L² + 45L + 120

APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L

= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L

= 50 - 0.03L - 0.5 / L

= 49.5 - 0.03L / L

MP = ∂TPL / ∂L

= 20 + 25 - 0.06L - 0.02K²

= 45 - 0.06L

The following diagram illustrates the TP, MP, and AP curves:

Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves

The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.

The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.

In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.

The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.

Learn more about average product

https://brainly.com/question/13128888

#SPJ11

Option E should be chosen, which is to explore the assignable causes because the second, fourth, and fifth samples are above the mean.

In an x-bar chart, the control limits (UCL and LCL) are based on the process variability and are used to determine if the process is in control. The central line represents the mean of the process.

Looking at the given sample means of 18, 23, 17, 21, 24, and 16, we can see that the second, fourth, and fifth samples are above the mean of 20. This suggests a potential shift or deviation from the expected process mean.

In an x-bar chart, if any sample mean falls outside the control limits or exhibits a non-random pattern, it indicates the presence of assignable causes, which are factors that can be identified and addressed to improve the process. Since the second, fourth, and fifth samples are above the mean, it is advisable to explore the assignable causes, as stated in option E.

To learn more about assignable.

Click here:brainly.com/question/32356049?

#SPJ11

Answer:

Step-by-step explanation:

To provide the final numerical answer, the exact values of f(x1), f(x2), f(x3), and f(x4) need to be calculated using a calculator or numerical approximation techniques.

To approximate the integral of the function f(x) = x · 2^x over the interval [0, 4], we can use the midpoint rule with four equal-width subintervals. The midpoint rule estimates the integral by evaluating the function at the midpoint of each subinterval and multiplying it by the width of the subinterval.

To apply the midpoint rule, we divide the interval [0, 4] into four equal-width subintervals. The width of each subinterval is (4-0)/4 = 1.

The midpoints of the subintervals are located at x = 0.5, 1.5, 2.5, and 3.5. Let's denote these midpoints as x1, x2, x3, and x4, respectively.

For each subinterval, we evaluate the function f(x) = x · 2^x at the corresponding midpoint and multiply it by the width of the subinterval:

I ≈ Δx [f(x1) + f(x2) + f(x3) + f(x4)]

Now, let's calculate the values of f(x) at each midpoint:

f(x1) = 0.5 · 2^(0.5) = 0.5 · sqrt(2)

f(x2) = 1.5 · 2^(1.5)

f(x3) = 2.5 · 2^(2.5)

f(x4) = 3.5 · 2^(3.5)

Finally, we substitute these values into the midpoint rule formula:

I ≈ 1 [f(x1) + f(x2) + f(x3) + f(x4)]

Replace the values of f(x) at each midpoint and simplify to find the approximate value of the integral.

Learn more about midpoint rule here:

brainly.com/question/30241651

#SPJ11

Answer:

Multiplication property of equality

Step-by-step explanation:

x/4=36/16

Cross product

16*x=36*4

16x=144

Divide both sides by 16

x=144/16

=9

What property allowed her to go from

x/4=36/16

To

x/4*4=36/16*4

Multiplication property of equality would allow her to go from

x/4=36/16

To

x/4*4=36/16*4

Answer:

multiplication property of equality

Step-by-step explanation:

Answer:

x=larger no

y= smaller no

Step-by-step explanation:

x+y=7--------(1)

x=16 + 2y------(2)

(2)--->(1)

16+2y+y = 7

3y + 16 = 7

3y = -9

y = -3//

so x=10

Answer:

x=larger no

y= smaller no

Step-by-step explanation:

x+y=7--------(1)

x=16 + 2y------(2)

(2)--->(1)

16+2y+y = 7

3y + 16 = 7

3y = -9

y = -3//

so x=10

12 roses costs $45.60, so in order to find the cost of one rose you have to divide the cost of 12 roses by 12, which gives $3.80.

Now that you know the cost of one rose, you can write an equation that gives you the cost in terms of the total number of roses by multiplying the cost of one rose by the total number of roses (x). This equation should be C = 3.8x

To find how much 18 roses would cost, you plug 18 into the previous equation for x, which gives you $68.40

Answer/Step-by-step explanation:

1. Well, we know that a dozen roses costs $45.60. We also know that a dozen is the same as 12. To know how much 1 rose costs, we need to divide $45.60 by 12.

45.60 ÷ 12 = $3.80. Therefore 1 rose costs $3.80.

2. y = yx

This is because the total amount of roses equal the cost of each rose multiplied by the amount of roses.

3. To find out how much 18 roses costs, we need to multiply the amount of one rose by 18. So, 3.80 x 18 = $68.4

Hope the helps! :D

Step-by-step explanation:

12/10.1

16.85/13

21.61/15

The best way, in my opinion, is to divide each price by it's respective inches. Doing that you will see the cost per inch. the cheapest one is the best deal.

\(small = \frac{12}{10.1} = 1.19\)

\(medium = \frac{16.85}{13} = 1.30\)

\(large = \frac{21.61}{15} = 1.44\)

Seeing these 3, the cheapest was $1.19, making the small pizza the best deal because you get the best price per inch

The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

Read more about IRR

brainly.com/question/13373396

#SPJ1

If f:RR, then Munkres' definition (f′(a) is a 11 matrix) is the definition of the derivative as it is presented in elementary calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value).

Calculus's core tool is the derivative. The velocity of an item, for instance, is the derivative of its position with respect to time; it quantifies how quickly the object's position varies as time passes.

When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable.

The function closest to that input value is best approximated linearly by the tangent line. Because of this, the derivative is

According to our question-

The linear mapping Dfa:RmRn that obeys limh0f(a+h)f(a)Dfa(h)h2=0 is typically used to compute the derivative (or "total derivative") of a function f:RmRn at some point aRm.

both are true. If f:RR, then Munkres' formulation (f′(a) is an 11 matrix) is the definition of the derivative as taught in introductory calculus and real analysis. The linear map yf′(a)y must be defined as the derivative if the first definition from above must be used.

learn more about derivative click here:

brainly.com/question/23819325

#SPJ4

Answer: x = 7°

Explanation:

We know that sum of angles of a quadilateral is = 360°

Therefore ATQ

⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360

⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360

⇒ 50x + 10 = 360

⇒ 50x = 360-10

⇒ 50x = 350

⇒ x = 350/50

⇒ x = 7

Therefore value of x is 7°

Must click thanks and mark brainliest

Jenna should plan to have 8 teen items in the store to maintain the same ratio of adult to teen items.

When comparing quantities and figuring out how they relate to one another, ratio and proportion are two related mathematical ideas.

A ratio is a comparison between two values that is typically stated as a fraction. The ratio of red to blue marbles, for instance, would be 3/5 if there were 3 red and 5 blue marbles in a bag.

Contrarily, the proportion equation declares that two ratios are equivalent. For instance, if there are 3/5 red to 5/5 blue marbles in one bag and 6/10 red to blue marbles in the other, we have two bags of marbles.

From the given bar graph the ratio of adult to teen items is 18 : 6 or 3:1.

Thus for 24 items,

24:x = 3:1

Cross-multiplying, we get:

24 * 1 = 3 * x

x = 24/3

x = 8

Therefore, Jenna should plan to have 8 teen items in the store to maintain the same ratio of adult to teen items.

Learn more about ratio here:

https://brainly.com/question/29774220

#SPJ1

The complete question is:

If Miranda purchased a coat for $101.50 that was regularly priced at $145, not including tax then the percentage Miranda saved by purchasing the coat on sale is equal to 30%.

Percentage in mathematics can be described as a number expressed as a fraction of 100. The symbol % is used to indicate a percent.

The percentage Miranda saved by purchasing the coat on sale can be calculated as follows,

First, subtract the regular price from the price at which she purchased

145 - 101.50 = 43.5

Now, divide this number by the regular price of the coat,

43.5 ÷ 145 = 0.3

Now, the percentage Miranda saved can be calculated by multiplying the result by 100,

0.3 × 100 = 30%

Hence, the percentage Miranda saved by purchasing the coat on sale is calculated to be 30%.

To learn more about percentages, click here:

https://brainly.com/question/24304697

#SPJ4

Answer:

18/48 = 30/50 is false

Step-by-step explanation:

20/50 and 40/100 both equal 0.4

12/15 and 20/25 both equal 0.8

etc.

The height of the television tower is approximately  307 feet.

What is triangle ?

A triangle is a three-sided polygon. It is a closed shape made up of three straight line segments that intersect at three points. The points where the line segments meet are called vertices, and the line segments themselves are called sides.

Triangles have several important properties that make them useful in geometry and other fields. One of the most fundamental properties is that the sum of the angles in a triangle is always 180 degrees. This property is known as the Triangle Sum Theorem, and it is true for all triangles, regardless of their size or shape.

According to the question:
We can solve this problem using similar triangles. The pole and its shadow form one triangle, and the television tower and its shadow form another triangle. Since the two triangles are similar, their corresponding sides are proportional.

Let's call the height of the television tower h. Then we have:

h/220 = (h-3)/5

We can cross-multiply to simplify:

5h = 220(h-3)

5h = 220h - 660

215h = 660

h = 660/215

h ≈ 3.07

Therefore, the height of the television tower is approximately 3.07 x 100 = 307 feet.

To know more about triangle visit:
https://brainly.com/question/14712269
#SPJ1

(a) the height of the ball when it is launched is 5 feet.

(b) the ball hits the ground at approximately t = 4.32 seconds.

(c)the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

(d)the maximum height of the ball is approximately 31.88 feet.

a) When the ball is launched (at t = 0), we can find the height by substituting t = 0 into the equation h(t) = -16t^2 + 40t + 5.

h(0) = -16(0)^2 + 40(0) + 5 = 5

Therefore, the height of the ball when it is launched is 5 feet.

b) To determine when the ball hits the ground, we need to find the value of t when the height h(t) is equal to 0.

-16t^2 + 40t + 5 = 0

We can use a graphing calculator to find the roots or solve the quadratic equation using the quadratic formula.

Using the quadratic formula, t = (-b ± √(b^2 - 4ac)) / (2a), where a = -16, b = 40, and c = 5, we can calculate the values of t.

t = (-40 ± √(40^2 - 4(-16)(5))) / (2(-16))

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t ≈ 4.32 or t ≈ 0.18

Since time cannot be negative, we discard the negative value.

Therefore, the ball hits the ground at approximately t = 4.32 seconds.

c) To find when the height of the ball is 20 feet, we set h(t) = 20 and solve for t.

-16t^2 + 40t + 5 = 20

-16t^2 + 40t - 15 = 0

Using the quadratic formula, we can solve for t.

t = (-40 ± √(40^2 - 4(-16)(-15))) / (2(-16))

t = (-40 ± √(1600 + 960)) / (-32)

t = (-40 ± √(2560)) / (-32)

t ≈ 1.04 or t ≈ 3.46

Therefore, the height of the ball is 20 feet at approximately t = 1.04 seconds and t = 3.46 seconds.

d) The maximum height of the ball can be determined by finding the vertex of the parabolic equation. The vertex form of a quadratic equation is given by h(t) = a(t - h)^2 + k, where (h, k) represents the coordinates of the vertex.

In this case, a = -16. To find the vertex, we use the formula h = -b / (2a) and substitute the values.

h = -40 / (2(-16))

h ≈ 1.25

To find the maximum height, we substitute t = 1.25 into the equation.

h(1.25) = -16(1.25)^2 + 40(1.25) + 5

h(1.25) ≈ 31.88

Therefore, the maximum height of the ball is approximately 31.88 feet.

Visit here to learn more about quadratic formula:

brainly.com/question/22364785

#SPJ11

Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer:well by using the point slope form the answer for the x intercept is 1 and the y intercept is -2 point slope is y-4=2(x-1)

Step-by-step explanation: then you solve for x and y I hope I’m correct

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

The margin of error in a level-C confidence interval is the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population

In a level-C confidence interval about the proportion p of some outcome in a given population, the margin of error (m) represents the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population.

The margin of error is a measure of the precision or uncertainty associated with estimating the true population proportion based on a sample. It reflects the variability that can occur when different random samples are taken from the same population.

When constructing a confidence interval, a level-C confidence level is chosen, typically expressed as a percentage. This confidence level represents the probability that the interval contains the true population parameter. For example, a 95% confidence level means that in repeated sampling, we would expect the confidence interval to contain the true population proportion in 95% of the samples.

The margin of error is calculated by multiplying a critical value (usually obtained from the standard normal distribution or t-distribution depending on the sample size and assumptions) by the standard error of the sample proportion. The critical value is determined by the desired confidence level, and the standard error accounts for the variability in the sample proportion.

The margin of error provides a range around the sample proportion within which we can confidently estimate the population proportion. It represents the uncertainty or potential sampling error associated with our estimate.

To summarize, the margin of error in a level-C confidence interval is the maximum distance between the sample statistic and the population parameter in any random sample of the same size from that population. It accounts for the variability and uncertainty in estimating the true population proportion based on a sample, and it helps establish the precision and confidence level of the interval estimation.

for more such question on interval visit

https://brainly.com/question/30460486

#SPJ8

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Yes, Mwamini can drink 2 liters of water and 1 liter of juice within her time limit.

From the information provided, we have the following inequality which models the rate at which Mwamini drinks water and juice:

25W + 40J < 120

Where:

Therefore, the rate at which Mwamini drinks water and juice are 25 and 40 respectively, within a time limit of 120 seconds.

When W = 2 and J = 1, the solution to the inequality is given by:

25W + 40J < 120

25(2) + 40(1) < 120

50 + 40 < 120

90 < 120 (Yes and true).

In conclusion, it is very possible for Mwamini to drink 2 liters of water and 1 liter of juice within 120 seconds.

Read more on inequality here: https://brainly.com/question/20505952

#SPJ1

Complete Question:

Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.

Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.

25W + 40J < 120

According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?

Mwamini drinks juice at a rate of ___ seconds per liter, and her time limit is ____ seconds.

Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?

Choose 1 answer:

yes or no