5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.

Answer:

pandas

Step-by-step explanation:

Answer:

598,402

Step-by-step explanation:

Let y = population at year x

x is the number of years since 1953, so for 1993, x = 40

a = population in 1953

y = a(1.08)^x

In 1993, the population is 13,000,000, so y = 13,000,0000 when x = 40.

13,000,000 = a(1.08)^40

13,000,000 = 21.7245a

a = 598,402

Answer: 598,402

Answer:

a_n = 5n, for n ≥ 1

Step-by-step explanation:

a_1 = 5

a_2 = 10 = 5 + 5 = a_1 + 5

a_3 = a_2 + 5

a_n = a_(n - 1) + 5

a_n = 5n

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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The total square footage (area) of the apartment is 332 ft²

To find the total area of the apartment we need to calculate the area of the given each room by using the given dimensions. Find the sum of the areas of each room to the area of the apartment.  

Area of a rectangle room = Length × Width

Here we have  

Dimensions of bedroom = 11ft × 10ft    

Area of the bedroom =  11ft × 10ft = 110 ft²  

Dimensions of bathroom = 5ft × 6ft  

Area of the bathroom = 5ft × 6ft = 30 ft²  

Dimensions of Sigle multi-use living room = 12ft × 16 ft  

Area of the living room  = 12ft × 16 ft = 192 ft²  

From above calculations

The total square footage of the apartment

= 110 ft² + 30 ft² + 192 ft²  

= 332 ft²

Therefore,

The total square footage (area) of the apartment is 332 ft²

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Answer:

90 %

Step-by-step explanation:

18/20*100%

please give me brainly

Answer:

90percent

Step-by-step explanation:

Lila's height is 0.89 + 0.19 = 1.08m.

What is height ?

Height typically refers to the measurement of an object or person from the base to the top, usually measured vertically. It is often used in reference to the physical dimension of a person or object, such as the height of a building, tree, or individual.

According to the question:

In the context of the given problem, height refers to the height of Fatima, Charlotte, and Lila.

Fatima is 1.27 meters tall, Charlotte is 0.89 meters tall, and Lila is taller than Charlotte by half the difference between Fatima's height and Charlotte's height.
The difference between Fatima's height and Charlotte's height is 1.27 - 0.89 = 0.38m.

Half of that difference is 0.38/2 = 0.19m.

So, Lila is taller than Charlotte by 0.19m.

Therefore, Lila's height is 0.89 + 0.19 = 1.08m.

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To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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All the trigonometric values for sin θ, cos θ and tan θ are valued below. Each trigonometric value is mentioned.

sin θ has boundaries from 0 to 1.

Since the sine function is a periodic function, we can represent sin 1° as, sin 1 degree = sin(1° + n × 360°), n ∈ Z. ⇒ sin 1° = sin 361° = sin 721°, and so on.

sin \(-\pi /2\)  = -1

sin  \(-\pi /3\) = -0.87

sin \(-\pi /6\) = -0.5

sin 0 = 0

sin \(\pi /6\) = 0.5

sin \(\pi /3\) = 0.87

sin \(\pi /2\) = 1

sin \(2\pi /3\) = √3/2

sin \(5\pi /6\) = 1/2

sin \(\pi\) = 1

sin \(7\pi /6\) = -0.5

sin \(4\pi /3\) = -0.87

sin \(3\pi /2\) = -1

sin \(5\pi /3\)  = -0.87

sin \(11\pi /6\) = -0.5

sin 2\(\pi\) = 0

Similarly cos θ has boundaries.

The complementary angle equals the given angle subtracted from a right angle, 90°. For instance, if the angle is 30°, then its complement is 60°. Generally, for any angle θ, cos θ = sin (90° – θ).

cos \(-\pi /2\)  = 0

cos   \(-\pi /3\)  = 0.5

cos \(-\pi /6\)  = 0.87

cos 0 = 1

cos \(\pi /6\) = 0.7

cos \(\pi /3\) = 0.5

cos  \(\pi /2\) = 0

cos  \(2\pi /3\)  = -0.5

cos \(5\pi /6\)  = -0.87

cos \(\pi\)  = -1

cos  \(7\pi /6\) = -0.87

cos  \(4\pi /3\) = -0.5

cos  \(3\pi /2\)  = 0

cos \(5\pi /3\)  = 0.5

cos \(11\pi /6\)  = 0.87

cos2\(\pi\)  = 1

But tan θ has no boundaries.

The tangent function 'or' Tan Theta is one of the three most common trigonometric functions, along with sine and cosine. The tangent function in a right-angle triangle is defined as the ratio of the opposite side to the adjacent side.

tan  \(-\pi /2\) = undefined

tan   \(-\pi /3\)= -0.8

tan \(-\pi /6\)= -1.73

tan 0 = 0

tan \(\pi /6\)= \(\frac{1}{\sqrt{3} }\)

tan \(\pi /3\) = \(\sqrt{3}\)

tan  \(\pi /2\) = undefined

tan   \(2\pi /3\) =-3

tan \(5\pi /6\)  = -0.5774

tan \(\pi\)  = undefined

tan  \(7\pi /6\) = -1.73

tan  \(4\pi /3\) = 1.73

tan  \(3\pi /2\) = undefined

tan \(5\pi /3\) = -1.73

tan  \(11\pi /6\) = -0.58

tan2\(\pi\)  = 0

Hence, all the values mentioned in the table, were written above.

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Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer:

The value of proper fractions is found in between 0 and 1.

Step-by-step explanation:

Proper fractions are fractions where the denominator is greater than the numerator.

If the numerator is greater than the denominator, then it is an improper fraction.

Common Examples of Proper fractions:

1/4, 1/2, 2/3

Common Examples of Improper fractions:

3/2, 2/1, 7/4

Answer:

1

33

11

3

Step-by-step explanation:

33 ÷ 1 = 33

33 ÷ 33 = 1

33 ÷ 11 = 3

33 ÷ 3 = 11

The values of x are -3 and 4.

What is factoring polynomial?

The term "factorization of polynomials" or "polynomial factorization" refers to the process of combining irreducible factors with coefficients in the same domain to express a polynomial with coefficients in a given field or in integers.

Consider, the given equation

x^2 - x = 12

Subtract 12 from both sides

x^2 - x - 12 = 12 - 12

x^2 - x - 12 = 0

Since -12 = -4 x 3

⇒ x^2 - 4x + 3x - 12 = 0

x(x - 4) + 3(x - 4) = 0

(x + 3)(x - 4) = 0

⇒ (x + 3) = 0,   (x - 4) = 0

           x = -3,         x = 4

Hence, the values of x are -3 and 4.

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Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

\(\angle ACB\cong \angle DCE\)            (Vertically opposite angles)

\(m\angle ACB=m\angle DCE\)              (Congregant angles)

\(m\angle ACB=8x+4\)

Using exterior angle theorem in triangle ABC, we get

\(m\angle A+m\angle C=\text{Exterior }m\angle B\)

\(m\angle BAC+m\angle ACB=130^\circ\)

\((3x-6)+(8x+4)=130^\circ\)

\(11x-2=130^\circ\)

Isolate the variable term x.

\(11x=130^\circ+2\)

\(11x=132^\circ\)

\(x=\dfrac{132^\circ}{11}\)

\(x=12^\circ\)

Now, the measure of angle A is:

\(m\angle A=3x-6\)

\(m\angle A=3(12^\circ)-6\)

\(m\angle A=36^\circ-6\)

\(m\angle A=30^\circ\)

Therefore, the correct option is B.

Answer:

The slope of the line is -1

Step-by-step explanation:

Slope of a Line

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

From the table in the image, we select the points (1,4) (3,2). The slope is:

\(\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1\)

Now select two other points like (5,0) (7,-2)

\(\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1\)

Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1

This highlights the importance of having accurate testing methods and procedures in place to minimize the occurrence of such errors and to ensure the safety of consumers.

Food inspectors play a crucial role in ensuring the safety of food products by conducting hypothesis tests. In this context, the null hypothesis (H0) states that the food is safe, and the alternative hypothesis (Ha) states that the food is not safe. The scenario you described, where the sample suggests the food is safe but it actually is not, represents a Type II error. In a Type II error, the null hypothesis (H0) is incorrectly accepted when it should have been rejected in favor of the alternative hypothesis (Ha). In other words, the food is deemed safe based on the sample when, in reality, it is unsafe. To summarize, in the context of food inspection, a Type II error occurs when a sample incorrectly indicates that a food product is safe despite it actually being unsafe.

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Answer:

3 lb package for $5.25

Step-by-step explanation:

Find the price per pound of each price:

$5.25 / 3 lbs = $1.75 per lb

$3.60 / 2 lbs = $1.80 per lb

And compare them:

$1.75 < $1.80

This means that the 3 pound package is a better deal, as an equivalent amount of chicken costs less in that package than in the 2 pound one.

Answer:

t=12.5s

Step-by-step explanation:

s(t) = 50t - 2t^2

v(t) = 50 - 4t

a(t) = -4

When v(t) = 0, the car stops.

v = u +at

0 = 50 + (-4)t

t = 12.5

The mass after 10 days is 55 grams.To find the mass after 10 days, we need to solve the differential equation dm/dt = 5 + 2 sin(2πt) with the initial condition m(0) = 5.

First, let's integrate both sides of the equation with respect to t:

∫ dm = ∫ (5 + 2 sin(2πt)) dt

Integrating, we get:

m = 5t - (1/π)cos(2πt) + C

To find the constant of integration C, we can use the initial condition m(0) = 5:

5 = 0 - (1/π)cos(0) + C

Simplifying, we find:

C = 5 + (1/π)

Now we have the solution for the mass as a function of time:

m = 5t - (1/π)cos(2πt) + 5 + (1/π)

To find the mass after 10 days (t = 10), we substitute t = 10 into the equation:

m(10) = 5(10) - (1/π)cos(2π(10)) + 5 + (1/π)

Calculating the expression, we find:

m(10) = 50 - (1/π)cos(20π) + 5 + (1/π)

Since cos(20π) = 1, we simplify further:

m(10) = 50 - (1/π) + 5 + (1/π)

Combining like terms, we obtain:

m(10) = 55 grams

Therefore, the mass after 10 days is 55 grams.

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Answer:

\(\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}\)

Step-by-step explanation:

The explanation is attached below.

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as

dy/dt = (d/dt) [t(e^(8t))]   [Using product rule]= te^(8t) + t * 8e^(8t)  

[Using the product rule again]= te^(8t) + 8te^(8t)  

[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.

Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]  

[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)

  [Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)  

[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)

 [Factorizing]= e^(8t) (16t + 1)

So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)

Thus, the values of derivatives as functions of t are:

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

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Answer:

B. 5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

1 1/8 cups of vanilla for a cup of milk.

Step-by-step explanation:

v-3/8  m-1/3

v-6/8  m-2/3

v-1 1/8 m-1

Answer:

3/50

Step-by-step explanation:

for one its 3/10

for the other one is 3/10 too bc u replaced it

so u multiply 3/10 by 3/10 which is 6/100 which is simplify to 3/50

hope this helps

The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

9

Step-by-step explanation:

As the rectangles are similar, the value of the variable is 8.

It is assumed that the rectangles are similar, which means that their corresponding sides are proportional. We can use this fact to find the value of the variable x.

First, let's set up a proportion using the corresponding sides of the rectangles. In the shapes, in the first rectangle length is 6/5 by and width is 12 and in the second rectangle length is 4/5 and width is x. Hence:

6/5 ÷ 12 = 4/5 ÷ x

Cross-multiply to get rid of the fractions:

(6/5) * x = (4/5) * 12

Simplify the equation:

6x = 48/5

Solve for x:

x = 48/5 * 5/6

x = 8

Therefore, the value of the variable is 8.

Note: The question is incomplete. The complete question probably is: Assuming the rectangles are similar, find the value of the variable. The dimension of the first rectangle is 6/5 by 12 and the dimension of second rectangle is 4/5 by x.

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The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the margin of error. The correct answer is the last option.

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample. In simpler terms, the margin of error allows you to gauge the level of unpredictability in data and research outcomes.

The formula for the margin of error is calculated by multiplying a critical factor (for a certain confidence level) with the population standard deviation. Then the result is divided by the square root of the number of observations in the sample.

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Using objective function and linear inequalities in linear programing problem, 44 minutes of running, 16 minutes of rowing and 1 minutes of aerobics should you perform each exercise to burn the maximum of 507 calories.

According to the question,

Imagine you are trying to maximize the calories you burn in a 60-minute workout you do a few times a week. running burns 9 calories per minute, aerobics burns 6 calories per minute, and rowing burns 7 calories per minute.

you want to perform all three exercises to work different muscle groups. for the best effect, you need to run for at least 5 minutes and row for at least 15 minutes. your aerobics session should be no more than 30 minutes.

The system of inequality is; x + y + z = 60

x ≥ 5

y ≥ 15

0 < z ≤ 30

The objective function is, f(x, y, z) = 9·x + 7·y + 6·z

The number of minutes each exercise should be performed are;

Running = 44 minutes

Rowing = 15 minutes

Aerobics = 1 minute

The reason for arriving at the above values is as follows:

The given parameters are:

The total duration of the workout = 60 minutes

The calories burnt per minute by running = 9 calories

Calories burnt per minute by performing aerobics = 6 calories

Calories burnt per minute by rowing = 7 calories

The number of exercises to be performed = The three exercises

The duration of the time for running, x ≥ 5 minutes

Duration of the time for rowing, y ≥ 15 minutes

Duration of the time for aerobics, z ≤ 30 minutes

The system of inequalities based on the constraints are;

x + y + z = 60

x ≥ 5

y ≥ 15

0 < z ≤ 30

Objective function

The objective is to find the duration of each exercise that result in burning the maximum number of calories

Therefore, the objective function is the function that gives the amount of calories burnt, which is the sum of the product of the calorie burnt per minute for a given exercise and the duration of the exercise

The objective function is, f(x, y, z) = 9·x + 7·y + 6·z

Calculating the number of minutes for performing each exercise to burn the maximum calories:

Running burns the most calories, to burn maximum calories, we have;

Running duration = 60 mins - (Minimum duration aerobics + Minimum duration running)

Aerobics burns the least calories

∴ Minimum duration aerobics, z = 1 minute (minimum value possible)

Rowing duration is at least 15 minutes

∴ Minimum duration running, y = 15 minutes

∴ Running duration, x = 60 - (1 + 15) = 44

Running duration, x = 44 minutes

To perform all three exercises and burn maximum calories;

Running = 44 minutes

Rowing = 15 minutes

Aerobics = 1 minute

f(44, 16, 1) = 44 × 9 + 15 × 7 + 1 × 6 = 507

The maximum calories burnt, f(44, 16, 1) = 507 calories

Hence, using objective function and linear inequalities in linear programing problem, 44 minutes of running, 16 minutes of rowing and 1 minutes of aerobics should you perform each exercise to burn the maximum of 507 calories.

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Answer:f(x)=3x^2+36x+33

0,-75

Step-by-step explanation:

your welcome plus just got it