Total money spent to buy. Dresses (D) and shoes(s) $ 1000 of cost of one dress is $80 and cost of one pair of shoes is $40 write the equation for buying ‘D’ dresses and ‘S’ shoes.

Answer:

1/5 c - 5

Step-by-step explanation:

1/5 c - 5 = (c - 25)/5

The spherical coordinate limits for the integral that calculates the volume of the solid bounded below by the hemisphere and above by the cardioid of revolution are as follows:

The polar angle (θ) ranges from 0 to π/2.

The azimuthal angle (ϕ) ranges from 0 to 2π.

The radial distance (r) ranges from 0 to the value where the cardioid of revolution intersects the hemisphere.

To determine the intersection point of the cardioid of revolution and the hemisphere, we need to express both surfaces in spherical coordinates and equate them. The equation for the hemisphere is given by r = a, where 'a' is the radius of the hemisphere. The equation for the cardioid of revolution is given by r = a(1 + cos(θ)), where θ is the polar angle.

Setting these two equations equal, we have a = a(1 + cos(θ)), which simplifies to 1 = 1 + cos(θ). Solving for cos(θ), we find cos(θ) = 0, which implies θ = π/2.

Therefore, the polar angle (θ) ranges from 0 to π/2, and the azimuthal angle (ϕ) ranges from 0 to 2π.

To find the radial distance limit, we substitute θ = π/2 into the equation of the cardioid of revolution: r = a(1 + cos(θ)). This gives us r = a(1 + cos(π/2)) = a(1 + 0) = a.

Therefore, the radial distance (r) ranges from 0 to a, where 'a' is the radius of the hemisphere.

Now, we can evaluate the integral to find the volume of the solid. The integral is given by:

V = ∫∫∫ r^2 sin(θ) dr dθ dϕ

Integrating over the limits mentioned above, we have:

V = ∫[0 to 2π] ∫[0 to π/2] ∫[0 to a] (r^2 sin(θ)) dr dθ dϕ

Performing the integration, we get:

V = 2π ∫[0 to π/2] [-cos(θ)/3 r^3] [0 to a] dθ

V = 2π ∫[0 to π/2] (-a^3 cos(θ)/3) dθ

V = 2π (-a^3/3) ∫[0 to π/2] cos(θ) dθ

V = 2π (-a^3/3) [sin(θ)] [0 to π/2]

V = 2π (-a^3/3) [sin(π/2) - sin(0)]

V = 2π (-a^3/3) [1 - 0]

V = 2π (-a^3/3)

The volume of the solid bounded below by the hemisphere and above by the cardioid of revolution is 2π (-a^3/3), where 'a' is the radius of the hemisphere.

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Rounding to the nearest tenth, the largest possible area of the garden is 625 square feet.

What is area of rectangle?

The area of a rectangle is a measure of the region enclosed by its four sides. It represents the amount of space or surface covered by the rectangle. The formula to calculate the area of a rectangle is:

Area = Length × Width

To find the largest possible area of the garden given a limited amount of chicken wire fence, we need to determine the dimensions of the rectangular garden that would maximize its area.

Let's assume the length of the rectangular garden is L and the width is W. The perimeter of the garden, which is the length of the chicken wire fence required, can be expressed as:

Perimeter = 2L + 2W

Given that the perimeter is 100 running feet, we have:

2L + 2W = 100

Simplifying the equation, we get:

L + W = 50

To maximize the area, we need to maximize the product of the length and width, which represents the area of the garden:

Area = L * W

We can rewrite the equation for the area in terms of one variable using the constraint L + W = 50:

Area = (50 - W) * W

To find the maximum area, we can take the derivative of the area equation with respect to W, set it equal to zero, and solve for W:

d(Area)/dW = 50 - 2W = 0

2W = 50

W = 25

Substituting the value of W back into the equation L + W = 50:

L + 25 = 50

L = 25

Therefore, the largest possible area of the garden is obtained when the length and width are both 25 feet. The maximum area is:

Area = L * W = 25 * 25 = 625 square feet.

Rounding to the nearest tenth, the largest possible area of the garden is 625 square feet.

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Answer:

400 J

Step-by-step explanation:

Answer:

400 J

Step-by-step explanation:

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = \(a^x\)

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

The examples of exponential functions are:

f(x) = \(2^x\)

f(x) = 1/ \(2^x\) = \(2^-x\)

f(x) =\(2^(x+3)\)

f(x) = \(0.5^x\)

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Answer:

The shown in the diagram shows that

more the height , lesser will be the distance covered.

Here the point A Is maximum relative.

because if its X value is increased , it's Y value will decreased.

In this analysis, we will investigate the occurrence of nausea as an adverse reaction in a specific drug used to prevent blood clots. The data set comprises 247 patients who received the drug, out of which 154 individuals developed the adverse effect of nausea. Our goal is to test the claim that 3% of users experience this adverse reaction. To accomplish this, we will employ hypothesis testing, using a significance level to determine whether there is sufficient evidence to support or reject the claim.

Step 1: Formulating the Hypotheses

To conduct the hypothesis test, we need to establish the null hypothesis (H₀) and the alternative hypothesis (H₁). In this scenario, the null hypothesis assumes that the true proportion of users experiencing nausea is equal to 3% (0.03), while the alternative hypothesis proposes that the true proportion is greater than 3%.

Null Hypothesis (H₀): The proportion of users experiencing nausea is 3% (p = 0.03).

Alternative Hypothesis (H₁): The proportion of users experiencing nausea is greater than 3% (p > 0.03).

Step 2: Selecting the Significance Level

The significance level, denoted by α (alpha), determines the threshold for accepting or rejecting the null hypothesis. Commonly used significance levels are 0.05 (5%) and 0.01 (1%). Let's assume we will use α = 0.05 for this test.

Step 3: Computing the Test Statistic

The test statistic for hypothesis testing involving proportions is typically the z-score. However, before calculating the test statistic, we need to verify whether the conditions for using the normal distribution approximation are satisfied. These conditions include a large sample size and an adequate number of successes and failures in the sample. Since we have 247 patients and 154 developed nausea, these conditions are met, allowing us to proceed with the z-test.

The formula for calculating the z-score is given by:

z = (p' - p₀) / √(p₀ * (1 - p₀) / n)

Here,

p' represents the sample proportion (154/247)

p₀ represents the hypothesized proportion (0.03)

n represents the sample size (247)

Calculating the test statistic:

p' = 154/247 ≈ 0.623

z = (0.623 - 0.03) / √(0.03 * (1 - 0.03) / 247)

Step 4: Identifying the Critical Region

The critical region defines the range of test statistic values that lead to rejecting the null hypothesis. Since the alternative hypothesis is one-sided (claiming that the proportion is greater than 3%), we will use a right-tailed test. With a significance level of α = 0.05, we look up the critical z-value in the standard normal distribution table (or use statistical software) and find the z-value corresponding to the area 0.95 (1 - α). Let's assume this critical value is denoted by z_crit.

Step 5: Determining the P-value

The P-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. In our case, we are interested in finding the probability of observing a sample proportion as large as 0.623, assuming the true proportion is 0.03. The P-value can be calculated using the standard normal distribution or statistical software.

Step 6: Making a Decision

After computing the P-value, we compare it with the significance level (α) to make a decision. If the P-value is less than α, we reject the null hypothesis; otherwise, we fail to reject it.

Conclusion:

Based on the calculated test statistic, critical region, and P-value, we can draw a conclusion regarding the claim that 3% of users experience nausea as an adverse reaction to the drug.

If the P-value is less than α (0.05), we reject the null hypothesis, implying that there is sufficient evidence to warrant the rejection of the claim. In this case, it would suggest that the proportion of users experiencing nausea is greater than 3%.

If the P-value is greater than α (0.05), we fail to reject the null hypothesis, indicating that there is not sufficient evidence to warrant the rejection of the claim. This would imply that the proportion of users experiencing nausea is not significantly different from 3%.

Remember to perform the actual calculations to obtain the test statistic and the P-value, and compare the P-value with the chosen significance level (α) to make a conclusive decision.

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It is used in situations where there are only two outcomes, such as heads or tails, success or failure, and so on. The normal approximation to the binomial is used when the sample size is large and the probability of success is not too close to 0 or 1.

As far as the random variable is concerned in this question, it satisfies the assumptions for the normal approximation to the binomial based on the results. The coin looks like it is fair based on the assumption that the null hypothesis is correct. The probability that a number of heads that large or larger occurs under the assumptions is approximately 0.321.

The standard deviation of the number of heads under the assumptions is approximately 15.811. The expected value of the number of heads under the assumptions is 500. Thus, these are the answer options to match with the given phrases. Let's elaborate on the normal approximation to the binomial.The normal approximation to the binomial is a statistical approximation used to compute binomial probabilities.

The normal distribution has a bell shape and is symmetrical about its center. When the sample size is large, the normal distribution approximates the binomial distribution. A sample size is considered large if np and nq are both greater than or equal to 10. When the sample size is small, the binomial distribution is used instead of the normal distribution.The binomial distribution can be used to determine the likelihood of a specific number of successes in a certain number of trials.

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Answer:

x = 27

Step-by-step explanation:

this problem is similar to a scale drawing where we can set up a proportion:

'x' is to 5 as 162 is to 30

x/5 = 162/30

cross-multiply:

30x = 810

x = 810/30

x = 27

Answer:

x=27

Step-by-step explanation:

Answer:

same variable and same exponent

Answer:

when they have the same variable and their exponent if applicable isn't different.

Step-by-step explanation:

For example if you have a value like 3x and 4x they are like terms that can be combined;7x. If you have say 5x and 6y they are not like terms.

The second option would be your answer.

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

The correct answer of the operation is option B: 4x^2 - 9.

To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:

First: Multiply the first terms of each binomial.

(2x)(2x) = 4x^2

Outer: Multiply the outer terms of each binomial.

(2x)(3) = 6x

Inner: Multiply the inner terms of each binomial.

(-3)(2x) = -6x

Last: Multiply the last terms of each binomial.

(-3)(3) = -9

A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.  

Now, let's combine the like terms:

4x^2 + 6x - 6x - 9

Notice that the terms 6x and -6x cancel each other out.

Simplifying further, we have:

4x^2 - 9

The correct answer is option B: 4x^2 - 9.

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Answer:

The answer is (5,3) because x=5 and y=3

Answer:

the answer is (5,3).

Step-by-step explanation:

5 by 3 is 15, so there are 15 squares or units.

To recognize linear equations write them in Ax = b form, Gaussian elimination, check in raw-echelon for all coefficients in zero, and if it exists its a contradiction and inconsistent.

To easily recognize when a system of linear equations is inconsistent, you can follow these steps:

1. Write the system of linear equations in the form Ax = b, where A is the matrix of coefficients, x is the vector of variables, and b is the constant vector.

2. Perform Gaussian elimination or row reduction on the augmented matrix [A | b] to obtain the row-echelon form.

3. Check for any row in the row-echelon form where all the coefficients of the variables are zero, but the constant term is nonzero (i.e., 0x + 0y + ... + 0z = k, where k ≠ 0).

4. If such a row exists, then the system of linear equations is inconsistent because it represents a contradiction (e.g., 0 = k, where k ≠ 0).

If no such row is found, then the system is either consistent and has a unique solution or consistent and has infinitely many solutions, depending on the number of free variables.

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Answer:

F  = (9/5)C  + 32 is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

hope this helps!!

Answer:

b i think

Step-by-step explanation:

The constant term of -2 shifts the entire graph downward by two units.

To create a table for the function f(x) = 2|x + 2| - 2 we need to choose some values of x and then substitute them into the function to find the corresponding values of f(x).

Here is a table with some values of x and f(x):

x f(x)

-4 10

-3 8

-2 6

-1 4

0 2

1 6

2 10

To graph the function, we can plot the points from the table and connect them with a smooth curve.

Since the function involves absolute value, the graph will have a sharp corner at x = -2.

F(x) is a V-shaped curve that opens upward and has its vertex at (-2,-2).

The absolute value function inside the parentheses ensures that the graph is reflected over the y-axis at x=-2.

Here is the graph of f(x) = 2|x + 2| - 2:

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Answer:

63 yellow cards

Step-by-step explanation:

84 divided by 4 is 21, and 21 times 3 is 63.

Answer:

1. -2x+24

2. 3x+21

3. 5x-17

4. 3x²+12x

5. 18

Step-by-step explanation:

2. 3(x)+3(7)=3x+21

3. 5(x)+5(-4)+3= 5x-20+3=5x-17

4. 3x(x)+3x(4)=3x²+12x

5. 3(10)-12=30-12=18

Answer:

1.) -2x + 24

2.) 3x + 21

3.) 5x - 17

4.) 15x

5.) 18

Step-by-step explanation:

1.) The first step to simplify this equation is to combine like terms. Also remember to always keep the sign before the number/variable to use when combining like terms.  

3x + 14 - 5x + 10

3x - 5x + 14 + 10

   -2x + 24

2.) Use distributive property to distribute the 3 to x and 7. Keep the sign.

3(x + 7)

3x + 21

3.) Use distributive property to distribute the 5 to x and 4 then add three. Keep the signs. Combine like terms.

5(x - 4) + 3

5x - 20 + 3

5x - 17

4.) Once again, use distributive property to distribute the 3x to x and 4. When multiplying 3x times x just think of x with a 1 in front of it (1x) and just multiply 3 times 1. Carry the x when multiplying 4x times 4. Combine like terms.

3x (x + 4)

3x + 12x

15x

5.) All you have to do is replace x in "3x" and solve.

3(10) - 12

30 - 12

18

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

Let's solve your equation step-by-step.

2x2−5x=7

Step 1: Subtract 7 from both sides.

2x2−5x−7=7−7

2x2−5x−7=0

2x2+−5x+−7=0

Step 2: Use quadratic formula with a=2, b=-5, c=-7.

x=−(−5)±√(−5)2−4(2)(−7)/2(2)

x=5±√81/4

Answer:

x= 7/ 2

or x=−1

the same thing

The solutions of the equation are x = 15 and x = -20

The equation is given as:

the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0

Rewrite the equation properly as:

|2/5x + 1| - 7 = 0

Add 7 to both sides

|2/5x + 1| = 7

Remove the absolute bracket

2/5x + 1 = 7 and 2/5x + 1 = -7

Subtract 1 from both sides

2/5x = 6  and 2/5x = -8

Solve for x

x = 15 and x = -20

Hence, the solutions of the equation are x = 15 and x = -20

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Answer:

B. x = -20 and x = 15

Step-by-step explanation:

Good luck! Hope this helped :)

1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

Answer:

$10.26

Step-by-step explanation:

....................

Answer:

712.5

Step-by-step explanation: