On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?

-16.75 + (5.72 + 16.75)

Use the commutative property to get:

-16.75 + (16.75 + 5.72)

Use the associative property to get:

(-16.75 + 16.75) + 5.72

On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total?
-$866.84
$878.28
$895.03
$903.10

Using it's concept, it is found that the sample proportion for this population is of 0.4.

In this problem:

Hence:

\(p = \frac{1599}{4000} = 0.4\)

The sample proportion for this population is of 0.4.

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Answer:

(15.23,41.016)

Step-by-step explanation:

WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
\(= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125\)
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
\(= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}\)
\(= 148.877/8 = 18.6\)
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
\(= 28.125 + (1.96 *18.6)/(\sqrt{8} )\)
\(= 41.016\)
\(= 28.125 - (1.96 * 18.6)/(\sqrt{8}) = 15.23\)
The confidence interval for this data set is (15.23,41.016)

Answer:

32.7 ± 2.262(1.19)

Step-by-step explanation:

See attached pictures

Answer:

Option c. 3 inches

Step-by-step explanation:

Volume=27 inches³

By applying the volume formula of cube, we get

L³=27 inches³

L³=(3 inches)³

Hence the cube cancels the opposite side's cube

L=3 inches

13

20-(-9) =11

+ 2 Pythagorean’s theorem

Answer:

20 - (-9) = 29

Step-by-step explanation:

20+9= 29

Answer:

137

Step-by-step explanation:

it was 136.794 hope this helps

Answer:

14

Step-by-step explanation:

The length of the diagonal of a square with a perimeter of 56 is 14√2.

A diagonal is the longest line that divides a plane shape into two equal parts.

To calculate the length of the diagonal of the square, first we need to find the length of the square using the perimeter formula.

Formula:

Where:

From the question,

Given:

Substitute the value into equation 1 and solve for a

Finally to find the length of the diagonal of the square, we use the formula below

Where:

Substitute into equation 2

Hence, the length of the diagonal is 14√2.

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Answer:

qfewwqeffwqfefewqwqreg

Step-by-step explanation:

The time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

A graph is defined as the diagram that is used to represent the variation of a variable in comparison with that of one or more other variables.

From the given graph above, the X axis is the time in minutes which is plotted against the temperature at y axis is degree Celsius.

From the graph, the time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.

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Answer:

A. P = 50,200(1 + 0.09)2

Answer:

P = 50200(1+0.09)²

Step-by-step explanation:

To find the answer to this question we use the equation new value = original value x \(d^{n}\), where d is the multiplier

We are told that our original value is 50200 and to find the multiplier we have to do 1 + 0.09. This is because the population is increasing by 9% which as a decimal is 0.09!

This means that our equation would be P = 50200(1+0.09)²

Hope this helps, have a lovely day! :)

Answer:

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

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Thank You!

Answered by: ms115

Answer:

Step-by-step explanation:

Let the perimeter be:

Find the numbers for the perimeter:

For A:

That means A is incorrect.

For B:

That means B is correct.

For C:

That means C is incorrect.

Correct choice is B.

(a) for every integer z, we can find integers x and y such that f(x, y) = z, and thus f(x, y) is onto.

(b) f(x, y) = |x| - |y| is not onto.

(a) To show that the function f(x, y) = 2x - 4y is onto, we need to show that for every integer z, there exists integers x and y such that f(x, y) = z.

Let z be an arbitrary integer. Then we need to find integers x and y such that 2x - 4y = z. We can rewrite this equation as x = (z + 4y)/2.

Now, if z is even, then we can choose any even number for y and solve for x using the above equation. Conversely, if z is odd, we can choose any odd number for y and solve for x.

Therefore, for every integer z, we can find integers x and y such that f(x, y) = z, and thus f(x, y) is onto.

(b) To show that the function f(x, y) = |x| - |y| is not onto, we need to find an integer z such that there does not exist integers x and y such that f(x, y) = z.

Let z = -1. Then we need to find integers x and y such that |x| - |y| = -1. However, the absolute value of any integer is non-negative, so |x| and |y| are both non-negative.

Therefore, |x| - |y| is non-negative, and it is impossible for f(x, y) to equal -1.

Hence, there does not exist integers x and y such that f(x, y) = -1, and thus f(x, y) is not onto.

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3 + 2 + 5/6

= 5 + 5/6

= 5 + 0.83 (convert 5/6 to decimal form)

= 5.83

Answer: B) 13 & 1/2

========================================================

Explanation:

There are a few ways to approach this problem. It might be easiest to convert all the fractions to decimal form

1/2 = 0.5

3/4 = 0.75

6 & 3/4 = 6 + 3/4 = 6 + 0.75 = 6.75

The problem is rephrased as: "How many 0.5 cup servings in a box of oatmeal that contains 6.75 cups of oatmeal?"

To find out, we divide the two values (large over small) to get 6.75/0.5 = 13.5

Then convert back to a mixed number:

13.5 = 13 + 0.5 = 13 + 1/2 = 13 & 1/2

--------------------

Side note: The reason why we divide is due to this

x = number of servings

0.5x = total number of cups = 6.75

So we're effectively solving the equation 0.5x = 6.75, in which we divide both sides by 0.5

Suitable methods for designing inhibitors for cancer proteins are X-ray crystallography and Cryo-EM. Neutron scattering and X-ray crystallography are appropriate for understanding antibiotic-resistant enzyme mechanism. Key residues for protein stability can be identified by Site-directed mutagenesis and NMR spectroscopy. Cryo-EM and X-ray crystallography can determine protein structure in diabetes.

Designing inhibitors for a protein that is involved in cancer requires X-ray crystallography or NMR spectroscopy to determine the 3D structure of the protein and design inhibitors that can bind to the active site of the protein. Understanding the mechanism of an enzyme that is critical in antibiotic resistance requires cryo-electron microscopy (cryo-EM) to visualize the enzyme and its substrates at near-atomic resolution.

Identifying the key residues that are responsible for the stability of a protein requires site-directed mutagenesis and X-ray crystallography to determine the structures of mutant proteins. Determining the structure of a protein that is involved in diabetes requires X-ray crystallography or cryo-EM to determine the 3D structure of the protein and understand its function.

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--The complete question is, A group of students in a biochemistry lab work on four different research projects as follows: designing inhibitors for a protein that is involved in cancer, understanding the mechanism of an enzyme that is critical in antibiotic resistance, identifying the key residues that are responsible for the stability of a protein, and determining the structure of a protein that is involved in diabetes. Based on your knowledge learned from this course, what is the best appropriate structural biology method that the students can use for each project?--

The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.

To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:

d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)

where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.

In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.

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Answer:

--------------------------

Find the difference of the initial and used amounts:

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

<95141404393>

To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

Answer:

a + B = \(\frac{1}{3}\)

Step-by-step explanation:

the sum of the roots a + B = - \(\frac{b}{a}\)

where a and b are the coefficients in the standard quadratic equation

ax² + bx + c = 0 ( a ≠ 0 )

3x² - x - 5 = 0 ← is in standard form

with a = 3 and b = - 1 , then

a + B = - \(\frac{-1}{3}\) = \(\frac{1}{3}\)

The triangles are not similar

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the corresponding sides are

JK / JL ≠ NM / MP

where the corresponding sides of similar triangles are not in the same ratio

And , the common angle to both the triangles is ∠J = ∠M

So , ∠J = ∠M and JK / JL ≠ NM / MP

Hence , the triangles are not similar

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Answer:

\(4\frac{1}{12}\) yards

Step-by-step explanation:

\(\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}\)

Answer:

2/3 + 1/3 = 3/4

Step-by-step explanation:

you have 3/4 you can minus the 3/4 by 1/4 to get 2/4 then you can check by adding 2/4 and 1/4 together to get 3/4.

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

1. 146   2. 4

Step-by-step explanation:

9^2 * 2 - 4^2

81 * 2 - 16

162 - 16

146

2 * (10 - 2) / 2^2

   2  *   8 / 4

16 / 4

4

Hope this Helps!!!

The two numbers are 8 and - 1.

A quadratic equation is of the form ax² + bx + c = 0.It has highest degree of 2 and has two roots.

According to the given question we have to find two numbers that when we add we get 7 and when we multiply we get - 8.

This can be solved by quadratic equation

x² + 7x - 8 = 0.

x =(7±\(\sqrt{49 + 32}\) )/2.

x = (7±\(\sqrt{81}\) )/2.

x = (7±9)/2.

x = 8 or x = - 1 .

This can also be solved by logic and practice for small numbers like two numbers multiples to - 8 and add to 7.

a + b = 7 and a×b = - 8.

(8×-1) = -8 and ( 8 - 1 ) = 7.

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9514 1404 393

Answer:

Step-by-step explanation:

The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...

  wrong vector + B = intended vector

  B = (intended vector) -(wrong vector)

Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.

  B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator

__

a) The new bearing must be N17.91°W

__

b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...

  4.872 -4.0 ≈ 0.9 . . . hours

longer than originally planned.

_____

Comment on coordinates

Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.

Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)

Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.

Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)

Answer:

Yes, because the monthly service fee is approximately the same each month.

Step-by-step explanation:

At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.