Mrs. Coners grades 120 math tests in 3
hours. Mrs. Bing grades 100 math tests in
2 hours. Who grades math tests at a
quicker rate?

Answer:

Option D : t = 5s + s/2 is the correct answer.

Step-by-step explanation:

Given that:

t = Combined weight of water and food

s = weight of the snail

Water drank by snail = 5s

Food ate by snail = s/2

Combined weight = Weight of water + Food

t = 5s + s/2

Hence,

Option D : t = 5s + s/2 is the correct answer.

Two sides should be equal and the angle between the corresponding equal sides should needed be equal prove that the triangles are congruent using SAS congruent rule.

Given, two triangles and we have to prove that the triangles are congruent using SAS.

Also, we are asked the information needed to prove that the triangles are congruent using SAS.

Using the concept of Congruent Triangles,

SAS stands for Side- Angle-Side

To prove that two triangles are congruent by SAS Congruent Rule,

Two corresponding sides of the triangles should be equal and the angle between the sides should also be equal.

Then, we can prove that the triangles are congruent using SAS Congruent Rule.

Let suppose ABC and XYZ are two triangles,

AB = XY

∠ABC = ∠XYZ

BC = YZ

So, by SAS congruent rule ΔABC ≅ ΔXYZ.

Hence, two sides and one angle is needed to prove that the triangles are congruent using SAS congruent rule.

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Answer:

-71/4

Step-by-step explanation:

Answer:

0.615

Step-by-step explanation:

Just round up.

Answer:

Again let's plug in the values.

we get

\(8 \frac{1}{8} \)

The two companies will charge the same amount at $25802.99 when 141.86 tons of sugar are transported.

the second company charges $4092 to rent trucks plus an additional fee of $175.75 for each ton of sugar. for what amount of sugar do the two companies charge the same what is the cost when the two companies charge the same

Hence, we can form an equation using this information.

The total cost, C, of the first company can be expressed as:  

C=150.25x+4500

he total cost, C, of the second company can be expressed as:  

C=175.75x+4092

The two costs are equal at their intersection point.

Equating both expressions for C gives:  

150.25x+4500=175.75x+4092

Simplifying and solving for x gives:

x = 141.86 tons (rounded to 2 decimal places)

Substitute x = 141.86 into either expression for C to determine the cost of transporting 141.86 tons of sugar.  

C=175.75(141.86)+4092

= 4500 + 150.25(141.86)=  $25802.99

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The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

look it up on quzilet

Step-by-step explanation:

Answer:

sq rt 3, 3.11, 3.14, Pi, 3 2/3

Answer:

Same as the top. Got it right

9514 1404 393

Answer:

Step-by-step explanation:

It can work well to factor the leading coefficient from the x-terms.

  5(x² -8x) +60

Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.

  5(x² -8x +16) +60 -(5)(16)

  5(x -4)² -20 . . . . write as a square, simplify the added constant

The vertex form is ...

  5(x -4)² -20

It shows you the vertex is (4, -20). This is the turning point.

_____

Vertex form is a(x -h)² +k, where (h, k) is the vertex.

Answer:

900.000 000 + 5050.000 000 + 9.000 + 600 + 20 + 7

=900+5050+9+600+20+7=6586 is standard one

The correct answer is option d) none of these answers is correct

In Excel, Frequency Distribution is used to show how the data is spread out. This can be accomplished with the help of a Histogram, which provides a clear picture of how the data is distributed. We need Data Analysis Toolpak to create Frequency Distribution in Excel, which we can activate from the Add-Ins option in the Developer menu tab. Once activated, select the Histogram from Data Analysis and the data to be projected.

Using the pivot table to create graphical data is one of the simplest ways to make an excel frequency distribution.

Thus, Excel's pivotTable report function can be used to construct a frequency distribution for quantitative data.

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In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

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The expression (f - g)(x) simplifies to (3x - 2) - (2x + 1), which further simplifies to x - 3.

To find (f-g)(x), we need to subtract the funcif f (x) =3 x-2 and g (x)=2x+1 find (f-g) (x)

tion g(x) from the function f(x).

f(x) = 3x - 2

g(x) = 2x + 1

To compute (f-g)(x), we substitute the expressions for f(x) and g(x) into the equation:

(f-g)(x) = f(x) - g(x)

= (3x - 2) - (2x + 1)

= 3x - 2 - 2x - 1

= (3x - 2x) - (2 + 1)

= x - 3

Therefore, (f-g)(x) = x - 3.

In other words, (f-g)(x) is a new function formed by subtracting the function g(x) from the function f(x), resulting in a linear function with a slope of 1 and a y-intercept of -3.

This means that for any value of x, the output of the function (f-g)(x) will be obtained by subtracting 3 from x.

For example, if we evaluate (f-g)(2), we get:

(f-g)(2) = 2 - 3

= -1.

So, when x = 2, (f-g)(x) evaluates to -1.

In summary, (f-g)(x) = x - 3, and it represents a linear function that subtracts 3 from any given input value x.

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Convert 1 hour into minutes and divide 15/60

The answer is 1:4

The product is greater than 1 < 8.4375

Given:

In the question:

Product the following question:

1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3

Now, According to the question;

1/2 x 4\(\frac{1}{2}\) x \(1\frac{1}{4}\) x 3

Solve the mixed fraction:

1/2 x 9/2 x 5/4 x 3

Write as a single fraction:

(9 x 5 x 3) / (2 x 2 x4)

Calculate the product or quotient:

= 135/ 16

= 8.4375

Hence, The product is greater than 1 < 8.4375

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Answer:

6

Step-by-step explanation:

12÷2=6

Hope this helps! :)

Answer:

x= 9.2 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

21,704

Step-by-step explanation:

Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)

V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere

V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder

Let's find the hemisphere first.

We're using 3.14 for pi, so the equation would look like this

V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)

V = \(\frac{2}{3}\) x 3.14 x 1728

V = 3617.28 \(ft^{3}\)

Now let's find the volume of the cylinder.

V = 3.14 x \(12^{2}\) x 40

V = 3.14 x 144 x 40

V = 18,086.4 \(ft^{3}\)

Last, you add both volumes together.

3617.28 + 18,086.4 = 21,703.68

Round it to make it 21,704.

The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given that the top of a silo is a hemisphere

Radius(r) = 12 ft.

Then, the volume of a hemisphere is,

V = 2/3πr³

V = 2/3 x 3.14 x 12³

V = 10851.84 feet³

And, the bottom of the silo is a cylinder with

height (h) = 40ft.

the volume of a cylinder is,

V = πr²h

V = 3.14 x 12² x 40

V = 18095.57

So, the total volume is

V = 10851.84 + 18095.57

V = 28947.41

Then, total volume = total number of cubic feet of grain

Hence, the required answer is, 28947.41 .

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The volume V of a cube is given by

where L is the lenght of one side. Hence, the side L measures

In the first case, the dog kennel has 27 ft^3 of volume, hence

that is, L is 3 feets of lenght.

In the same way, for the second case we have that,

that is, in the second case, L is 4 feet of lenght. This means that, 1 foot was added to each edge of the dog kennel.

Answer:

9/14

Step-by-step explanation:

3/7  divided by 2/3?

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:  3/7 divided by 2/3 = 3/7 multiplied by 3/2

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

3/7 x 2/3 = 9/14

Answer:

9/14

Step-by-step explanation:

3/7 × 3/2

top part of fractions

3×3 = 9

bottom part of fractions

2×7 = 14

9/14 cannot be simplified so final answer is

9/14

Answer:

y = \(\frac{36}{25}\)

Step-by-step explanation:

y ∝ \(\frac{1}{x^2}\)

=> y = \(\frac{k}{x^2}\) --------------(1)

Now, y = 4 and x = 3.

Putting in (1)

=> 4 = \(\frac{k}{9}\)

=> k = 4*9

=> k = 36

Now, y = ?, when x = 5

Putting in (1)

=> y = \(\frac{36}{5^2}\)

=> y = \(\frac{36}{25}\)

Answer:

1.19047619048

Answer:

I think its D.

Step-by-step explanation:

P is at sea level and R is below. Q is at sea level, so it's not above or below.

Answer:

B

Step-by-step explanation:

it is defined for all values so D=R

also we can get any value

so Range =R

Answer:

B

Step-by-step explanation:

because that's odd power function it can take both, negative and positive values

The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

Based on the given information, the poultry layer ration contains the following ingredients:

- Maize: 612 g/kg

- Barley: 158 g/kg

- Molasses: 20 g/kg

- Cottonseed Meal: 100 g/kg

- Fish Meal: 100 g/kg

- Dicalcium Phosphate: 10 g/kg

The ration also provides the total requirements for various nutrients, such as metabolizable energy (ME), crude protein (CP), lysine (LYS), methionine (MET), phenylalanine (PHE), tryptophan (TRP), calcium (Ca), phosphorus (P), and sodium (Na).

The complaints regarding funny-looking and terrible-tasting eggs, along with a slight decrease in feed intake, suggest that there may be issues with the ration that are impacting egg quality and palatability. Based on this information, here are some possible explanations and recommendations:

1. Imbalanced Nutrient Composition: The nutrient content of the ration may be imbalanced, leading to poor egg quality and taste. It's important to ensure that the nutrient levels are appropriate for poultry layer production. A consultation with a poultry nutritionist or veterinarian would be beneficial to determine the correct nutrient ratios for the ration.

2. Inadequate Amino Acid Balance: The amino acid balance in the ration is crucial for egg production and quality. The levels of lysine (LYS), methionine (MET), phenylalanine (PHE), and tryptophan (TRP) should be carefully evaluated. Supplementing the ration with specific amino acids or adjusting the protein sources may help improve egg quality.

3. Insufficient Calcium and Phosphorus: Calcium and phosphorus are essential for eggshell formation. The provided ration appears to have low levels of calcium (Ca) and phosphorus (P), which can lead to weak or abnormal eggshells. Increasing the levels of these minerals, either by adjusting the ratio of existing ingredients or incorporating additional calcium and phosphorus sources, may help address this issue.

4. Sodium Imbalance: Sodium (Na) is required for various physiological functions, including egg production. However, the ration seems to have a low sodium content. Ensuring adequate sodium levels in the diet might help stimulate feed intake and improve overall performance.

5. Texture and Processing: The ration is described as a coarsely ground mash. The texture and processing of the feed can influence how well the birds consume and utilize the ration. It might be worth exploring different feed forms (e.g., pellets or crumbles) to improve intake and digestion.

Overall, to alleviate the reported issues with egg quality and palatability, it is recommended to consult with a poultry nutritionist or veterinarian to reformulate the ration. The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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Answer:

-110

Step-by-step explanation:

105 - (-5) = 110 but it’s dropping so it’s -110

Answer:

Investment in company P = 12,000

Investment in company Q = 24,000

Step-by-step explanation:

Given that,

Total investment = 36,000

Dividend paid by company P = 11.25%

Dividend paid by company Q = 10.5%

Total return = 10.75%

Now, let investment made in company P be 'a' and company 'Q' be 'b.' So,

A.T.Q.

a + b = 36,000  ...(i)

11.25% of a + 10.5% of b = 10.75% of 36000  ...(ii)

On simplification,

a + b = 36,000

11.25% of a + 10.5% of b = 3870

Now,

11.25% of a + 10.5% of (36000 - a) = 3870

⇒ 0.1125 * a + 0.105 * (36000 - a) = 3870

⇒ 0.1125 a + 3780 - 0.105a = 3870

⇒ 0.1125a - 0.105 a - 3870 - 3780

⇒ 0.0075 a = 90

⇒ a = 90/0.0075

∵ a = 12000

Since, a = P = 12,000

Q = b = (36000 - a)

= 36000 - 12000

= 24,000

Thus,

Investment in company P = 12,000

Investment in company Q = 24,000

Answer:

Amount invested in P = 12,000

Amount invested in Q = 24,000

Step-by-step explanation:

Given:

Amount invested = 36,000 in two companies P and Q

P pays dividend = 11.25%

Q pays dividend = 10.5%

Total return = 10.75%

Find:

Amount invested in each company

Computation:

Total return = 36,000 x 10.75

Total return = 3870

Assume;

Amount invested in P = a

So,

Return in P = a x 11.25%

Return in P = 0.1125a

Return in Q = [36000 - a]10.5%

Return in Q = 3,780 - 0.105a

Total return = Return in P + Return in Q

3,870 = 0.1125a + 3,780 - 0.105a

90 = 0.0075a

a = 12,000

Amount invested in P = 12,000

Amount invested in Q = 36,000 - 12,000

Amount invested in Q = 24,000