Select the additive inverse of 51

Answer:

The correct answer is:

A) The food cans have a mean shelf life of 14 months.

Just took this quiz and this was the correct answer.

Step-by-step explanation:

Answer:

Parallel: [tex]m = 0[/tex] (Horizontal), Perpendicular: [tex]m = -\frac{1}{0}[/tex] (Vertical)

Step-by-step explanation:

The equation y = 1 is an horizontal straight line ([tex]y = 0\cdot x + 1[/tex]). The slope of a line parallel to it is [tex]m = 0[/tex]. The slope of line perpendicular to it is [tex]m = -\frac{1}{0}[/tex], since slope is represented by tangent function, which is undefined at [tex]\theta = \pm 0.5\pi[/tex].

TRUE IVE GOT IT WRONG  ON MY ASSIGNMENT.

Answer:

True

Step-by-step explanation:

To find the geometric men you have to cross multiply the two given numbers and then find x squared for those numbers. So to find x squared you have to find the square root of the product from the two multiplied numbers.

8/x = x/2

8*2 = 16 = x squared

x= square root of 16 which equals 4

Answer:

Option (3) is correct.

(2,4) belongs to y ≥ 4x - 5

Step-by-step explanation:

Given : the point (2,4)

We have to find the equation of graph to which the point (2,4) belongs.

We will substitute the point in the  each given equation and for which the point satisfies will contain the point.

For 1) y ≥ x + 3

Put x = 2 and y = 4

⇒ 4 ≥ 2 + 3

⇒  4 ≥ 5 (false)

For 2) y ≥ -x + 8

Put x = 2 and y = 4

⇒  4 ≥ -2 + 8

⇒  4 ≥ 6 (false)

For 3) y ≥ 4x - 5

Put x = 2 and y = 4

⇒  4 ≥ 4(2) - 5 = 8 - 5

⇒  4 ≥ 3 (true)

For 4) y ≥ -2x + 9

Put x = 2 and y = 4

⇒  4 ≥ -4 + 9

⇒  4 ≥ 5 (false)

Since, the point (2,4) satisfies only inequality y ≥ 4x - 5.

Thus, (2,4) belongs to y ≥ 4x - 5

The total number of nickels that can be collected is 17 and this can be determined by forming the inequality.

Given :

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00.

The inequality can be formed in order to determine the total number of nickels that can be collected.

Let the total number of quarters be 'x' and the total number of nickels be 'y'. Then the inequality that represents the total number of quarters and nickels contained in the collection is at least 42 is given by:

x + y [tex]\geq[/tex] 42  --- (1)

The inequality that represents that the worth of the coins is at most $8 is given by:

0.25x + 0.5y [tex]\leq[/tex] 8   --- (2)

Now, according to the given data there are a total of 25 quarters in the collection, so, the number of nickels contained in the collection is:

x + y [tex]\geq[/tex] 42

25 + y [tex]\geq[/tex] 42

y [tex]\geq[/tex] 17

So, the total number of nickels that can be collected is 17.

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The collection can contain up to 35 nickels, given that it already includes 25 quarters and the total value does not exceed $8.00.

To determine how many nickels can be in the collection, we must first calculate the total value of the 25 quarters. Since each quarter is worth 25 cents, we multiply 25 quarters by 25 cents to get 625 cents, which is $6.25. The maximum value of the entire collection is $8.00. Thus, we subtract $6.25 from $8.00 to find the remaining value that can be occupied by nickels, which is $1.75. Each nickel is worth 5 cents, so we divide $1.75 by 0.05 (5 cents) to find the maximum number of nickels. $1.75 divided by 0.05 equals 35. Therefore, the collection can contain up to 35 nickels.

Answer:

I'm a few years late, lol, but um the answer is 42 x [tex]10^{-3}[/tex] meters

For all the people who still need the answer.

Step-by-step explanation:

5 x [tex]10^{-11}[/tex] and 8.4 x [tex]10^{8}[/tex]

5 x 8.4 = 42  (multiply like terms)

[tex]10^{-11}[/tex] + [tex]10^{8}[/tex] = [tex]10^{-3}[/tex]  (add the exponents)

42 x [tex]10^{-3}[/tex]

The length in scientific notation is [tex]42\times10^{-7[/tex] meter.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

Given that, the diameter of a hydrogen atom is about [tex]5\times10^{-15}[/tex] meter. Suppose 8.4×10⁸ hydrogen atoms were arranged side by side in a straight line.

Now, multiply the numbers

[tex]5\times10^{-15}[/tex]×8.4×10⁸

= [tex]42\times10^{-7[/tex] meter

Therefore, the length in scientific notation is [tex]42\times10^{-7[/tex] meter.

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Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.

Given that in quadrilateral ABCD, side AD is equal to side BC (AD = BC) and side AD is parallel to side BC (AD || BC), we can use these properties to prove that ABCD is a parallelogram.

Here is a step-by-step proof:

1. Definition of a parallelogram: A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.

2. Given: AD = BC (opposite sides are equal) and AD || BC (opposite sides are parallel).

3. To Prove: AB || CD and AB = CD (the other pair of opposite sides are also parallel and equal).

4. Proof:

   - Since AD = BC and AD || BC, we have one pair of opposite sides that are equal and parallel.

   - In a quadrilateral, if one pair of opposite sides is equal and parallel, the quadrilateral is a parallelogram (This is a theorem in Euclidean geometry).

   - Therefore, AB must be parallel to CD (AB || CD) because the opposite sides of a parallelogram are parallel by definition.

   - Also, in a parallelogram, opposite sides are equal (another property of parallelograms), so we can conclude that AB = CD.

5. **Conclusion**: Since both pairs of opposite sides of quadrilateral ABCD are parallel and equal, by definition, ABCD is a parallelogram.

This logical sequence uses the properties of parallelograms and the given information to prove that ABCD must be a parallelogram.

Answer:

500

Step-by-step explanation:

It is expected that approximately 500 students would finish the test in less than 40 minutes.

To determine the number of students who would be expected to finish the test in less than 40 minutes, we can use the concept of the standard normal distribution and the z-score.

The z-score measures the number of standard deviations an individual data point is from the mean. In this case, we want to find the proportion of students who finish the test in less than 40 minutes, which corresponds to finding the area under the curve to the left of the mean.

Using the z-score formula:

z = (x - μ) / σ

where x is the value (40 minutes), μ is the mean (40 minutes), and σ is the standard deviation (8 minutes).

Substituting the values into the formula:

z = (40 - 40) / 8

z = 0

A z-score of 0 indicates that the value is exactly at the mean.

Since we are interested in the proportion of students finishing in less than 40 minutes, we need to find the area under the curve to the left of the mean, which is represented by a z-score of 0.

By referring to a standard normal distribution table or using a statistical software, we find that the proportion of students finishing in less than 40 minutes is approximately 0.5000.

To find the expected number of students, we multiply the proportion by the total number of students:

Expected number of students = 0.5000 * 1000 = 500

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Answer:

C) 13.75 dollars per month

Step-by-step explanation:

i took the test and got it right

Final answer:

To achieve a 15 percent saline solution by mixing a 10 percent solution with a 25 percent solution, we calculate that we need to add 1.5 liters of the 25 percent saline solution to the initial 3 liters of the 10 percent solution.

Explanation:

To solve the problem, we need to calculate how much of a 25 percent saline solution should be added to 3 liters of a 10 percent saline solution to get a 15 percent saline solution. We'll use the concept of the conservation of mass of the solute (NaCl) and set up an equation to find the required volume of the 25 percent solution.

Let V be the volume of the 25 percent solution we need to add. The amount of NaCl in the 10 percent solution is (0.10)(3 L), and the amount of NaCl in the 25 percent solution is (0.25)(V). The resulting solution has a concentration of 15 percent, so the amount of NaCl in the final solution will be (0.15)(3 L + V).

Now we set up our equation based on the mass of NaCl being equal before and after the addition of the 25 percent solution:

(0.10)(3 L) + (0.25)(V) = (0.15)(3 L + V)

Solving this equation:

0.30 + 0.25V = 0.45 + 0.15V

0.25V - 0.15V = 0.45 - 0.30

0.10V = 0.15

V = 0.15 / 0.10

V = 1.5 L

Therefore, 1.5 liters of a 25 percent saline solution must be added to the initial 3 liters of a 10 percent solution to obtain a 15 percent saline solution.

The answers are D:Rectangle, and B:Parallelogram

4(x-7)=12=


4x-28=12 

add 28 to both sides

4x=40

x =40/4 = 10

x = 10

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. The answer is 2.25.

Percentage counts the number compared to 100.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Iliana was part of a group that was working on changing 0.4 repeated to a fraction.

Each member of the group had a different answer.

Let x be 0.444444[tex]\bar 4[/tex]

So,

4 / 10 = 0.4

4 / 9 = 0.4444444...

9/ 4 = 2.25

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Answer:

[tex]sin x = \frac{11}{s}[/tex]

Step-by-step explanation:

[tex]Tan x = \frac{11}{r}[/tex]

[tex]Cos x = \frac{r}{s}[/tex]

Property : [tex]\frac{sin \theta}{cos \theta}=Tan \theta[/tex]

So, [tex]\frac{sinx}{cosx}=Tan x[/tex]

Substitute the values

[tex]\frac{sinx}{ \frac{r}{s}}=\frac{11}{r}[/tex]

[tex]sinx =\frac{11}{r} \times \frac{r}{s}[/tex]

[tex]sinx =\frac{11}{s}[/tex]

Hence the value of sin x° is [tex]\frac{11}{s}[/tex]