I dont know the answer to this :/

Answer:

echinacea- 27

vitamin c- 15

zinc- 5

Step-by-step explanation:

Rounding the answer to the nearest cent, the amount in the account after 11 years is approximately $3281.53.

To find the amount in the account after 11 years with continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A is the final amount

P is the principal amount (initial investment)

e is the base of the natural logarithm (approximately 2.71828)

r is the interest rate (in decimal form)

t is the time in years

In this case, the principal amount is $1,484, the interest rate is 7.21% (or 0.0721 as a decimal), and the time is 11 years.

Substituting the values into the formula, we have:

A = 1484 * e^(0.0721 * 11)

Using a calculator or software, we can calculate the exponential term:

A ≈ 1484 * e^(0.7931)

A ≈ 1484 * 2.2129

A ≈ 3281.53

Rounding the answer to the nearest cent, the amount in the account after 11 years is approximately $3281.53.

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Answer:

1/3

Step-by-step explanation:

\(\frac{1}{6} * 2 = \frac{1}{6} * \frac{2}{1}\)

multiply across to get: \(\frac{2}{6}\)

reduce to get 1/3

The statement "If x is a nontrivial solution of Ax=0​, then every entry in x is nonzero" is False.

A nontrivial solution means that there is at least one nonzero entry in x. However, it doesn't imply that every entry in x must be nonzero. It's possible to have a mixture of nonzero and zero entries in a nontrivial solution.

If x is a nontrivial solution of Ax=0, it means that x is a nonzero vector in the null space of A. This implies that A x = 0, which means that the linear combination of the columns of A given by x results in the zero vector.

However, this does not necessarily mean that every entry in x is nonzero. For example, consider the matrix A given by:

A = [1 0 1;

0 1 1;

1 1 2]

The null space of A contains the vector x = [-1; 1; 1], which is a nontrivial solution of Ax = 0. However, this vector has one entry that is zero and two entries that are nonzero.

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The value of ∠GFH=59°, in the given question.

What do you mean by angle?

Two straight lines or rays intersect at a same terminus to make an angle. The vertex of an angle is the point at which all points meet.

According to the data in the given question,

We have :

∠EFH=127°

∠EFG=(8x-4)°

∠GFH=(5x+14)°

Now, we have to solve the value of ∠GFH,

∠EFG+∠GFH=∠EFH

Putting the values given and solve for x,

(8x-4)°+(5x+14)°=127°

8x°-4°+5x°+14°=127°

13x°+10°=127°

13x°=127°-10°

13x°=117°

x=9

Then, putting the value of x in ∠GFH,

∠GFH=(5x+14)°

=(5(9)+14)°

=(45+14)°

=59°

Therefore, the value of ∠GFH=59°.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

Entity Relationship Diagrams, sometimes referred to as ER Diagrams, ER Models, or ERDs, are a sort of structural diagram used in database architecture. The key entities included in the system scope as well as the interactions between these entities are both visually represented by an ERD's various symbols and connectors.

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

ERDs are commonly used in database design to visually represent the structure of a database system. They depict entities (objects or concepts) and the relationships between them, helping to model the organization of data and the interactions between entities. ERDs typically consist of entities (represented as rectangles), attributes (represented as ovals), and relationships (represented as lines connecting entities).

Therefore, the correct answer is:

Entity-Relationship Diagram.

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\(\dfrac{30+40}{2}=\dfrac{70}{2}=35\)

It's 35.

Answer:

35 please tell me if I'm right give me a good mark please.

Answer:

£10 pounds

Step-by-step explanation:

135+70+35 = 240 pounds between all 3

3:2:1 ratio means 6x represents all of them

6x=240

x=£40 each 1

3(40) =  £120 Sarah

2(40) = £80  Gemma

1(40+ = £40  Beth

Gemma received 10 pounds.

Answer:

6x + 12 = 6x + 12

Explanation:

4(x + 3) + 2x

4x + 12 + 2x    Distribute 4.

6x + 12            Combine the like terms.

6(x + 2)          

6x + 12            Distribute 6

Equation of a line:

9x - 7y = -63

To find the x-intercept we have to substitute y = 0 into the equation, as follows:

9x - 7*0 = -63

9x = -63

Dividing by 9 at both sides of the equation:

9x/9 = -63/9

x = -7

To find the y-intercept we have to substitute x = 0 into the equation, as follows:

9*0 - 7y = -63

-7y = -63

Dividing by -7 at both sides of the equation:

-7y/(-7) = -63/(-7)

y = 9

Answer

x-intercept: −7; y-intercept: 9

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.

There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.

To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.

As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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There is no relationship between the variables shown by the scatterplot.

A scatter plot is a form of graph that demonstrates the relationships between two variables. On the graph, each data point is displayed as a point, and the two variables are shown as lines on the x- and y-axes.

When there is no association between the two variables, the data points are scattered randomly around the graph.  The fact that there is a random scatter of the points shows that there is no relationship between them.

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Answer:

c 4 cal per minute

Step-by-step explanation:

because they burn 40 cal per 10 min and 40÷10 is 4 so 4 cal per 1 min

There are 15 different outcomes possible when rolling four identical dice.

Since each die has six possible outcomes (numbers 1 to 6), the number of different outcomes for a single die is 6.

The total number of different outcomes when rolling four dice, we need to calculate the number of combinations of four elements taken from a set of six elements (one for each die).

This can be calculated using the formula for combinations, given by:

C(n, r) = n! / (r!(n - r)!)

Where, n is the total number of elements (6 in this case) r is the number of elements to be chosen (4 in this case) ! represents the factorial operation

Using this formula, we can calculate the number of different outcomes

C(6, 4) = 6! / (4!(6 - 4)!)

C(6, 4) = 6! / (4!2!)

C(6, 4) = 30 / 2

C(6, 4) = 15

Therefore, there are 15 different outcomes possible when rolling four identical dice.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

SO first we need to get our numbers.

WE see 20.9 and 10.We learned in school that when

you multiply decimals itll show the placr its in.

So it basically shows you the answer.

Now lets divide, 20.9 divided by 10=2.09

Hope this helped my g!

Step-by-step explanation:

Answer:

9 yards

Step-by-step explanation:

Length of missing leg = √ Hypotenuse² - Adjacent side²

b = \(\sqrt{15^{2} - 12^{2} } \\\sqrt{225 - 144} \\\sqrt{81} \\\)

b = 9 yd

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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A variable is a letter that represents another number or thing.

Steps to solve:

3x + 6 - x + 82 = 44

~Combine like terms

2x + 88 = 44

~Subtract 88 to both sides

2x = -44

~Divide 2 to both sides

x = -22

Best of Luck!

Piper would make $557.5 in a week in which she made $2050 in sales

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Guarantee fee = $250 per week

Commission = 15%

Let the total sales be x and the total amount be y

So, we have:

y = Guarantee fee + Commission * x

This gives

y = 250 + 15% * x

The total sales is $2050

This gives

y = 250 + 15% * 2050

Evaluate

y = 557.5

Hence, Piper would make $557.5 in a week in which she made $2050 in sales

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The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

A set is a collection of distinct objects, and a subset is a set that contains only elements that are also in another set. If set A is a subset of set B, then all elements of A are also elements of B.

The number of subsets of a set with n elements is 2^n. So, if set A has n elements and set B has m elements (where m > n), the number of subsets of A is 2^n and the number of subsets of B is 2^m. The number of ways that A and B can have subsets is the product of the number of subsets of A and the number of subsets of B, or (2^n) * (2^m) = 2^(n+m).

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer:

well 700m is 2296.59 feet

and 1km is 3280.84 feet

and 300m is 984.252 feet

Step-by-step explanation:

hope this helps :)

The slope of the tangent line to the witch of Agnesi graph at the point (2, 1) can be found by taking the derivative of the equation and evaluating it at the given point. The slope is 1/2 .

The equation of the witch of Agnesi curve is given by (x^2 + 4)y = 8. To find the slope of the tangent line at a specific point on the curve, we need to take the derivative of the equation with respect to x.
Differentiating the equation implicitly, we get:
2xy + (x^2 + 4)dy/dx = 0.
To find the slope of the tangent line at a particular point, we substitute the x and y coordinates of that point into the derivative expression. In this case, we substitute x = 2 and y = 1:
2(2)(1) + (2^2 + 4)dy/dx = 0.
Simplifying the equation, we have:
4 + (4 + 4)dy/dx = 0,
8dy/dx = -4,
dy/dx = -4/8,
dy/dx = -1/2.
Therefore, the slope of the tangent line to the witch of Agnesi graph at the point (2, 1) is -1/2, or equivalently, -0.5.

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Given:

The line perpendicular to the line y = 3x + 3 includes the point (3, 1).

Required:

We need to find the line equation.

Explanation:

The given line y =3x+3 is of the form.

The slope of the line is a negative reciprocal of the perpendicular to the line.

Consider the line equation.

Substitute m=-1/3 in the equation.

Substitute x =3 and y =1 in the equation to find the value of b.

Add 1 to both sides of the equation.

We know that b is the y-intercept.

Final answer:

The y-intercept of the line perpendicular to the line y = 3x + 3 includes the point (3, 1) is 2.

Answer: The time taken for the cowboy to fill in the ranch is 12.53 mins.

Step-by-step explanation:

The given parameters:

- Length of the ranch, L = 1.53 m

- Width of the ranch, w = 61 cm = 0.61 m

- Width of the ranch, w = 61 cm = 0.61 m

- Depth of the ranch, h = 42 cm = 0.42 m

- Diameter of the hose, d = 2 cm

- Radius of the hose, r = 1 cm

- Speed of the water, v = 1.66 m/s

The volume of the ranch is calculated as follows:

V = Lwh

V = 1.53 x 0.61 x 0.42

V = 0.392 m³

but all in all the time taken for the cowboy to fill the ranch is 12.53 min.

Average love of cats is not significantly different from average love of school, but increased love of cats is associated with increased love of school.

If there were zero correlation, the probability of increased love of cats being reliably associated with increased love of school on this 5-point scale would decrease.

The answer to question 1 is: The result of this analysis shows that, on this 5-point scale, the average love of cats is probably not significantly different from the average love of school, but increased love of cats is reliably associated with increased love of school.

The answer to question 2 is: If there were zero correlation between the love of cats and the love of school on this 5-point scale, the average love of cats is probably significantly different from the average love of school, and increased love of cats is probably not reliably associated with increased love of school compared to the observed correlation (R = 0.03) or a larger correlation between the two variables.

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Answer:

5

Step-by-step explanation: