to grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil. the graph shows the different combinations of broccoli and tomato plants in an 18 square foot of soil. match each point to the statement that describes it.

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

The equivalent expression after combining the like terms is -3x - 7.

We have,

Expression:

-3x - 6 + (-1)

-6 and -1 are like terms.

To combine the like terms simply add them together:

-3x - 6 + (-1)

-3x - 7

-3x is the only term so it can be simplified further.

This is the simplest form of the expression.

Therefore,

The equivalent expression after combining the like terms is -3x - 7.

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Answer:

p+2.4

Step-by-step explanation:

Difficulat to say, since I don't see what the 40% refers to.  I'll assume 1, so 40% of 1 is 0.4.  p+2+0.4 = p+2.4

The standard deviation of the distribution of sample means, or the standard error in estimating the mean, is approximately 0.7569 ft, rounded to 4 decimal places.

To find the mean of the distribution of sample means, we use the formula:

Mean of sample means = Mean of the population

In this case, the mean of the population is given as μ = 36.1 ft.

Therefore, the mean of the distribution of sample means is also 36.1 ft.

To find the standard deviation of the distribution of sample means, also known as the standard error, we use the formula:

Standard error = Standard deviation of the population / √(Sample size)

In this case, the standard deviation of the population is given as σ = 6.8 ft, and the sample size is n = 81.

Plugging in these values into the formula, we have:

Standard error = 6.8 / √(81)

Calculating this expression, we find:

Standard error ≈ 0.7569

Therefore, the standard deviation of the distribution of sample means, or the standard error in estimating the mean, is approximately 0.7569 ft, rounded to 4 decimal places.

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Answer:

20 Lines

Step-by-step explanation:

According to the Question,

Now,  the total pairs of points which can be formed is 9

And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36

Here, We have overcounted all of the lines which pass through three points.

And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times

Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.

Answer:

696 square units

Step-by-step explanation:

please see attachments for description

The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)

The utility function  \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.

To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).

Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).

In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.

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The graph of the first five terms can be seen in the image at the end.

We know that we have an arithmetic sequence:

3, -10, -23, -36

The common difference is what we get when we subtract two consecutive terms, we will get:

d = -36 - (-23) = -3

Then the recursive relation is:

a(n) = a(n - 1) - 13

At the moment we know:

a(1) = 3

a(2) = -10

a(3) = -23

a(4) = -36

Then fifth term will be:

a(5) = a(4) - 13 = -36 - 13 = -49

Now to graph it, we use the "n-th" value as the input, then we need to graph the five points (1, 3), (2, -10), (3, -23), (4, -36), (5, -49).

The graph can be seen in the image below:

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The chef should use approximately 80 milliliters of the first brand (5% vinegar) and (240 - 80) = 160 milliliters of the second brand (11% vinegar) to make 240 milliliters of dressing that is 9% vinegar.

Let's assume the chef uses x milliliters of the first brand (5% vinegar) and (240 - x) milliliters of the second brand (11% vinegar).

To find the amounts of each brand needed, we can set up an equation based on the vinegar content:

(0.05x + 0.11(240 - x)) / 240 = 0.09

Simplifying the equation:

0.05x + 0.11(240 - x) = 0.09 * 240

0.05x + 26.4 - 0.11x = 21.6

-0.06x = -4.8

x = -4.8 / -0.06

x ≈ 80

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Answer:

4 8/27

Step-by-step explanation:

Answer:

Solution given;

x² + 6x = 0

taking x common

x(x+6)=0

either

x=0

or

x+6=0

x=-6

:.x=0 or -6.

Answer:

0 and -6

Step-by-step explanation:

Factor and find the zeros of the equation or graph the line to find the x-intercepts.

The width of the given television with the given parameters is; 52 inches

Pythagoras theorem is simply a formula used to find the side lengths of a right angle triangle. The formula is;

Hypotenuse² = Opposite² + Adjacent²

From the given image of the television, we see that;

Hypotenuse = 65 inches

Opposite = 39 inches

Thus, the width will be the adjacent side and applying Pythagoras theorem, we have;

65² = 39² + Adjacent²

Adjacent = √(65² - 39²)

Adjacent = √(4225 - 1521)

Adjacent = √2704

Adjacent = 52 inches width

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Answer: 4,784 in2

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

Answer:

15

Step-by-step explanation:

13/2 +7/2+5

20/2 +5

10+5

=15

The right answer is 15.

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

3/70

Step-by-step explanation:

3 orange,6 pink , 1 yellow , and 5 red = 15

P(pink) = number of pink/ total = 6/15 = 3/5

Then without putting it back

3 orange,5 pink , 1 yellow , and 5 red = 14

P(yellow) = number of yellow/ total = 1/14

P(pink, no replacement, yellow) = 3/5*1/14 = 3/70

Responder:

20.000

Explicação passo a passo:

Dado que:

Porcentagem de bois no rebanho = 15%

Percentagem de vacas = (100 - 15)% = 85%

Número de vacas = 17.000

Por isso,

85% = 17.000

15% = x

Multiplicação cruzada

0,85x = 17.000 * 0,15

0,85x = 2550

x = 2550 / 0,85

x = 3000

Número de bois no rebanho = 3000

Portanto, número total de gado no rebanho =

3000 + 17000 = 20.000

Answer: the answer should be true

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

In a one-tail hypothesis test where you reject h0 only in the upper tail

-1.2910  is the p-value.

P value = P (z > 1.70) = 1 - P(2<1.7) = 0.0446

P value = P (z > -2.44) = 0.0073

t< n-1 = -1.2910

A p-value is a statistical measure used to test a hypothesis against observed data. The p-value measures the probability of getting the observed result given that the null hypothesis is true. The lower the p-value, the higher the statistical significance of the observed difference.

For null hypothesis significance tests, the p-value is the probability of obtaining an extreme test result that is at least as extreme as the actually observed result, given that the null hypothesis is true.

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Answer:The mean of combined group is 71.12 kg

Step-by-step explanation:

Mean of 35 students test score=75.3

Total score of 35 students=mean×test score

=35×75.3

=2635.5

Mean of 26 students test score=65=65.6

Total score of 26 students= 26×65.6

=1705.6

Mean of combined group=(Total score of 35 students+Total score of 26 student ÷Number of total students

=(12635.5+1705.6)÷61

=71.16

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The combined group's average is 71.16.

Given;

If the average test score for one class of 35 students is 75.3 while the average test score for another class of 26 students is 65.6

Mean of 35 student's test scores = 75.3

The total score of 35 students is the mean * test score

=35 * 75.3   =2635.5

Mean of 26 student's test scores = 65.6

The total score of 26 students = 26 * 65.6  =1705.6

Mean of combined group = (Total score of 35 students + Total score of 26 students) / Number of total students

                                          = (12635.5 + 1705.6)  / 61

                                           = 71.16

Hence, the mean of the combined group is 71.16

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Answer:

c

Step-by-step explanation:

Answer:

Depends on what it is

Step-by-step explanation:

I can't tell you because I don't know what we are comparing. :)

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

The proof is completed and showed that < 2 ≅ < 3 as required.

Given data

<1 and <2 are linear pair

<1 + <3 = 180 degrees

required to proof <2 ≅ <3

linear pair implies mathematically that the sum of the two angles are 180 degrees, hence we have:

< 1 + < 2 = 180 degrees    equation 1

also given that,

< 1 + < 3 = 180 degrees    equation 1

equating equation 1 and equation 2 gives

< 1 + < 2 = < 1 + < 3

< 2 = < 3

Hence the required proof

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Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

We will have the following:

e)

From this we will find the x & y-intercepts as follows:

*x-intercepts: We replace y = 0 to find them, that is:

So, the x-intercepts are located at (4, 0) & (-4, 0)

*y-intercepts: We replace x = 0 to find them, that is:

So, the y-intercepts are located at (0, 8) & (0, -8).

*The domain is [-4, 4] and the range is [-8, 8].

*We graph it as follows:

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

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The diameter when the weight of a diamond is 8.52824 carats is obtained as follows:

12 millimeters.

The function in this problem is defined as follows:

w = 0.00583d³ - 0.0125d² + 0.022d - 0.01.

The variables of the function are given as follows:

The weight in this problem is of 8.52824 carats, hence:

w = 8.52824.

Then the diameter d is obtained solving the cubic function as follows:

0.00583d³ - 0.0125d² + 0.022d - 0.01 = 8.52824

0.00583d³ - 0.0125d² + 0.022d - 8.53824 = 0.

The coefficients of the cubic function are given as follows:

a = 0.00583, b = -0.0125, c = 0.022, d = -8.53824.

Inserting these coefficients into a cubic equation calculator, the solutions are given as follows:

The domain of the function is composed by non-negative real numbers, as the diameter cannot be negative, hence the diameter is of 12 millimeters.

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