Complete this item. Do not multiply factors (i.e. (a - b)(a + 2b)).

Simplify:

2y2 - 7y -15 9y2 - 1 y2 + 3y-10

3y2 - 8y-3 472-92y2 - 9y+ 9

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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Sarah's percentage improvement in her time is 18% between Year 8 and Year 11.

A percentage is a means to represent a percentage of 100 as a part of a whole. "%" is the symbol for percentage. For instance, if there are 25 female students in a class of 100, we may say that there are 25% of female students in the class because 25 is 25/100, or 0.25 when represented as a fraction of 100.

In a variety of areas, including finance, statistics, and daily life, percentages are used. They are frequently used to compare values that are stated in different units, such as weight or height, and to describe changes, such as percentage increases or decreases. Many professions require the ability to understand percentages, and it is frequently vital to be able to convert between percentages, fractions, and decimals.

The percentage improvement can be given by the formula:

percentage improvement = ((old time - new time) / old time) x 100%

Converting the time in one unit we have:

3 minutes 20 seconds = 3(60) + 20 = 200 sec

2 minutes 44 seconds = 2(60) + 44 = 164 sec

Substituting the values we have:

percentage improvement = (200 sec - 164 sec) / 200 sec x 100%

percentage improvement = 18%

Hence, Sarah improved her time by 18% between Year 8 and Year 11.

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The expression as given above: "−c f(x, y) ds = − c f(x, y) ds" seems to be true.

Both expressions, the left-hand side, −c f(x, y) ds and the right-hand side, − c f(x, y) ds:

represent the same mathematical operation. The mathematical equation represented here is obtained by multiplying the function f(x, y) by a constant -c and integrating it with respect to the variable ds. The placement of the constant -c does not affect the result, so the two expressions are equivalent.

Thus, both expressions (right-hand and left-hand sides) are the same. Hence, the statement is true.

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a%2Bb=12 [1]

.75a%2B1.05b=10.20 [2]

Use elimination: multiply the first equation by .75 and then compare the two equations (i.e., subtract one equation from the other):

.75a%2B.75b=9

.75a%2B1.05b=10.2

.3b=1.2

3b=12

b=4

ANSWER: He bought 4 pounds of bananas, which means 8 pounds of apples.

CHECK: 8($.75)+4($1.05) = $6+$4.20 = $10.20

Answer:

\(352\ ft ^2\)

Step-by-step explanation:

The formula for the area of a trapezoid is:

\(A=\frac{b_1+b_2}{2}*h\)

In this case \(b_1 b_2\) represent the two bases of the trapezoid.

We can plug in the given lengths into the equation:

\(A=\frac{13+31}{2}*16=\frac{44}{2}*16=22*16=352\ ft^2\)

Answer:

352 ft

Step-by-step explanation:

to do area of a trapezoid you do: (a+b) *h/ 2

a would be 13 b would b 31 and h would be 16 : (13+31) * 16/2

now you will have 44*16/2

now you have 704/2

your final answer is 352

Answer: C

Step-by-step explanation:

Area of Square = \(l^2\)
Area of Rectangle = \(lw\)

Square A = \(l^2\)

6 = \(l^2\)

\(l\) = 2.449

Rectangle B = \(lw\)

5 = 2.449 x \(w\)

\(w\) = 2.0008

For Square C, \(l\) = \(w\)

Square C = \(l^2\)

Square C = 2.0008²

Square C = \(\frac{25}{6}\) OR 4.166

The percentage of defective panels from the two plants was 6% number of panels produced by plant are 6000.

Let x be the quantity of tv panels that the Company B produced. It is said on this object that 10% of those panels are faulty.

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Answer:

  (b)  AC = DF

Step-by-step explanation:

In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)

The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.

The relation between other angles is irrelevant to SAS, so choice C is ruled out.

Choice B: AC = DF will supply the information necessary to show congruence by SAS.

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

hope this will help you further

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Sarah has made an assumption that all women who live near a freeway have rheumatoid arthritis. Sarah's assumption is an example of fallacy of Generalization to Individuals.Fallacies are mistakes or errors that occur in arguments. They're frequently used to distract or deceive the audience in order to achieve an objective.

A logical fallacy is a flaw in the reasoning used to develop an argument that renders it invalid.

Sarah's reasoning is based on a fallacy of generalization to individuals. Sarah made the mistake of generalizing from a group of people that live near a freeway to an individual's circumstance. She assumes that all women who live near a freeway will have a high incidence of rheumatoid arthritis. The fact is that the sample size was too small to draw a conclusion based on it. Pitfall 1: Conclusions from Small Samples - Occurs when the sample size used to draw conclusions is too small. Sarah made the mistake of drawing a conclusion based on a small sample of women who lived near a freeway. Pitfall 6: Generalization to Individuals - Occurs when a group's characteristics are generalized to an individual. Sarah assumed that all women who lived near a freeway would have a high incidence of rheumatoid arthritis.

Therefore, Sarah's reasoning is based on the fallacy of generalization to individuals. Her conclusion is not valid since she is using a small sample size to generalize to all women living near a freeway.

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The factoring method used to factor x² - 64 is the difference of squares.

The given expression is x² - 64.
We have to find the factor method.

The difference of squares is a factoring pattern used when we have a binomial of the form a² - b².

In this case, x² - 64 fits this pattern because it can be expressed as (x)² - (8)².

Applying the difference of squares method, we can factor x² - 64 as (x - 8)(x + 8).

Hence, the factors are (x - 8) and (x + 8).

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{(0,6,1,0), (0,9,0,1))Given that W = {(0,x,y,z): x – 6y + 92 = 0)} be a subspace of R4.Now we need to find the basis of W.Here is the solution for that:Given that x – 6y + 92 = 0 ⇒ x = 6y – 92

Now the given subset can be written as W = {(0, x, y, z) :

x = 6y – 92 }Taking 6y – 92 = x, the given subset can be written as

W = { (0, x, y, z) : x, y, z ∈ R }Here we can see that the subset W lies in the xy-plane (as the first element of any element of W is zero)To find the basis for the xy-plane, we need two linearly independent vectors that lie on the plane.

We can obtain two vectors on the plane by setting two variables to 1, and the third variable to 0.We will have the following two vectors:(0, 6, 1, 0) and (0, 9, 0, 1)Thus the basis of W is {(0, 6, 1, 0), (0, 9, 0, 1)}.Therefore, the main answer is {(0,6,1,0), (0,9,0,1)).

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Answer:

he ordered 4 additional toppings.

Step-by-step explanation:

you take the cost of the pizza ($22.75) and subtract the base ($14.95), then once you get that answer you divide it by the cost of the additional toppings ($1.95) and you get an answer of 4.

Based on the mean, standard deviation, and the graph, the indicated IQ score would be 115.

First, find the z value:

P(Z<z) = 1 - tail value

= 1 - 0.1587

= 0.8413

According to the z-value, this gives a value of:

z = 1

The indicated IQ score is:

= mean + z value z standard deviation

= 100 + 1 x 15

= 115

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Answer:

x = 103.8

Step-by-step explanation:

Calc: [2nd] [VARS] [invNorm]

area: 0.6

z = .2533471011

x = u + (z × o)

x = 103.8

Answer:

A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero.

Hope this helps!!! :D

9514 1404 393

Answer:

  f(x) = (x^2+2)/(x-1)

Step-by-step explanation:

In simplest form, it will be a quadratic divided by (x-1). The quadratic must have no zeros, and a y-intercept of 2.

One such could be ...

  f(x) = (x^2 +2)/(x -1)

__

The numerator polynomial must have no zeros in order to prevent the rational function from having zeros. It must be a function that has a degree an odd number greater than the denominator function. The denominator function can have only one zero, at x=1. The ratio of the functions must have a net odd degree and the overall leading coefficient must be positive in order to make the end behavior match the requirement.

Step-by-step explanation:

$10 per hour

9am to 3 pm = 6 hours

6 hours for 5 days = 6 × 5 = 30 hours

Amount earned for 5 days = $10 × 30 = $300

5% commission on $3,100 sales =

5/100 × 3100 = $155

Total earned = $300 + $155 = $455

Answer:

$455

Step-by-step explanation:

The question is incomplete, the complete question is as follows:

What do Steven Hawking and Thomas Edison have in common

- Both men made mathematics discoveries

- Both men made discoveries that were well-received

- both men created technological inventions

- Both men used observations in their field of study

Answer:

- Both men made discoveries that were well-received

Step-by-step explanation:

Stephen Hawking and Thomas Edison were two great physicist or scientists, whose discoveries were well-recieved by all over the world.

Stephen Hawking gave theories in cosmology such as black holes that includes the second law, that states that black hole will never reduce its shape.

Thomas Edison was one of the great inventors in the history in different feilds such as mass communication, electric power generation, motion pictures, and sound recording. some of the inventions include Automatic Telegraph and tin foil phonograph.

They both have given scientific research and logics for their discoveries and so people accepted them.

Hence, the correct answer is " Both men made discoveries that were well-received ".

The answer is:

The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.

This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.

The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.

In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.

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Answer:

B. (3x+12)+x=180

Step-by-step explanation:

to find x they must add up to 180 degrees

Answer:

(3x+12)+x=180(Being linear pair)

Answer:

I hope this helps you

:)

To match each number on the left with the correct description on the right, you will need to carefully analyze each option and determine the most appropriate description for each number.

Here are some steps to help you with this task: 1. Read the descriptions on the right side carefully and understand their meanings. It is important to have a clear understanding of the terms before you start matching them with the numbers.

2. Start with the first number on the left and consider each description on the right. Think about the meaning of the number and how it relates to each description.

3. For example, if the first number is 5, and one of the descriptions on the right is "odd number," you can immediately identify that this description matches the number since 5 is indeed an odd number.

4. Continue this process for each number, carefully considering each description and matching it with the appropriate number.

5. Keep in mind that the descriptions on the right may be used more than once. So, you might need to revisit the descriptions to find the best match for each number.

6. Once you have matched all the numbers with their descriptions, double-check your answers to ensure their accuracy and appropriateness. Remember to take your time, think critically, and carefully consider each option before making your final choices.

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Answer:

i dont know if this is the right but i think its -5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

An ellipse's form is determined by two locations inside the ellipse known as its foci.

The lengths of the main and minor axes of an ellipse may be used to calculate its foci.

The foci of an ellipse may be calculated using a variety of online calculators.

These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.

Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.

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Applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

Recall:

Thus, given:

Find the length of one side using Pythagorean theorem as shown below:

\(HG = \sqrt{(\frac{1}{2}EG)^2 + (\frac{1}{2}FH)^2 } \\\\\)

\(HG = \sqrt{(\frac{1}{2} \times 22)^2 + (\frac{1}{2} \times 20)^2 } \\\\HG = \sqrt{11^2 + 10^2} \\\\\mathbf{HG = 14.9}\)

Therefore, applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

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Answer:

5(8a + 9)

Step-by-step explanation:

40 and 45 can both be divided by 5, so this is a common factor.

-> 40 divided by 5 is 8

       [] It has a variable, so it will be 8a

-> 45 divided by 5 is 9

Our final answer is 5(8a + 9)

-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45

-> This works

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

it c

Step-by-step explanation:

it make scence

Answer:its b

Step-by-step explanation: