What is the factorization of 2x2 + 7 x + 6?

A.(2x+3)(x+2)
B.(2x+2)(x+3)
C.(x+3)(x+2)
D.(x+3)(x+6)

We may calculate our answer using fractions and the fact that the base is 18.3 feet.

The components of a whole or group of items are represented by fractions. A fraction consists of two components.

The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.

There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equals area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Answer:

At short 18.7 ft is the answer

The requried fraction of patients who waited for more than 7 minutes is 19/35.

A fraction is a mathematical concept used to express a portion of a whole or a number written as the ratio of two integers. The top number in a fraction is known as the numerator, while the bottom number is known as the denominator.

Here,
From the frequency polygon, we can see that the total number of patients is 35. Out of these, the number of patients who waited for more than 7 minutes is the sum of the frequencies for waiting times between 8 and 10 minutes, which is 8.

Therefore, the fraction of patients who waited for more than 7 minutes is 19/35.

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The expression representing the number of slices Harris ate is 1/11.The expression 1/11 represents the Proportion of slices Harris ate compared to the total number of slices.

The total number of slices in the pizza as "n". Since the pizza was evenly divided among 44 friends, each friend received n/44 slices.

Harris ate 1/11 fewer slices than he received. Therefore, Harris received (n/44) - (1/11) slices.

To determine the number of slices Harris ate, we need to subtract the number of slices he received from the number of slices he ate. Thus, the expression representing the number of slices Harris ate is:

(n/44) - (n/44 - 1/11)

To simplify this expression, we can combine the fractions:

(n/44) - (n/44) + (1/11)

The two terms with n/44 cancel out, leaving us with:

1/11

Therefore, the expression representing the number of slices Harris ate is 1/11. the specific number of slices Harris ate, we need to know the value of "n," the total number of slices in the pizza. The expression 1/11 represents the proportion of slices Harris ate compared to the total number of slices, but we cannot determine the actual value without knowing "n".

In conclusion, the expression representing the number of slices Harris ate is 1/11, but the specific number of slices cannot be determined without knowing the total number of slices in the pizza (denoted by "n").

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It should be noted that the value that is equal to the expression 6c²d/2d is 3c².

it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

6c²d/2d = (6/2) * (c²d/d)

= 3 * c²

= 3c²

Therefore, the simplified expression is 3c².

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Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

Answer:⅘ x 800= 640 640 out of the 800 students in a school own a bicycle.                    

Step-by-step explanation:    ⅘ x 800= 640                                                                                                

Answer:

It is A, you are right.

Step-by-step explanation:

This is the distributive property of multiplication.

Answer:

(2xye^x²  -  2xy³) / (5y^4  + 3y²x² - e^x²)

Step-by-step explanation:

differentiate each term:

d/dx (y^5) + d/dx (x² y³) = d/dx (1) + d/dx (ye^x²)

any time y is differentiated, make sure to include dy/dx:

5y^4 dy/dx  +  2xy³ + 3y²x² dy/dx  = 0 + e^x² dy/dx + 2xye^x²

collect terms with dy/dx:

dy/dx (5y^4 + 3y²x² - e^x²)  =  2xye^x² - 2xy³

divide both sides  by  (5y^4 + 3y²x² - e^x²):

dy/dx = (2xye^x²  -  2xy³) / (5y^4  + 3y²x² - e^x²)

Answer:

2(x+9)^2 + 4

Step-by-step explanation:

.............

Answer:

The IV pump infusion rate = 0.05ml per minute

Step-by-step explanation:

available concentration = 50 mg per 250 ml of D5W

This means that

250 ml of D5W contains 50 mg

note that

mg = milligram

mcg = microgram

250 ml = 50mg

1ml = 50/250 mg

1ml = 0.2mg

Next, let us convert from milligram (mg) to microgam (mcg) since the unit of administration is in mcg.

1 mg = 1000 mcg

∴ 0.2 mg = 1000 × 0.2

= 200mcg

Therefore the available concentration 200mcg/ml

required concentration/min = 10

since 1 ml = 200mcg

1 mcg = (1 ÷ 200) ml

1 mcg =  0.005 ml

∴ 10 mcg = 0.005 × 10 = 0.05 ml

10 mcg is contained in 0.05 ml of the solution

Therefore, the IV pump infusion rate = 0.05ml per minute

Answer:

D

Step-by-step explanation:

There are no black shoelaces

Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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Answer:

The inequality is 2 ≤ x < 8.

A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.

The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.

The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.

The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2

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Answer:

Step-by-step explanation:

your equation would be

uber m=5.50 ×2.25x

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Answer:

you can plug it back into the original equation to see if it fits the solution. if not then you have another solution you need to solve for.

Answer:

if we're talking on linear equations, then the two equations would intersect at one point. or when you solve it, it'll be only 1 number that can fit that equation.

p.s.: sub to #gauthmath# sub reddit if ya can ^^

If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.

Let's denote the scale factor between the sides as "k."

For surface area:

The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.

For volume:

The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.

Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.

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My best explanation to this question is:

Elena has summed the total of all three angles in the straight angle to get 180°; <DAB, <BAC , and <CAE. But this does not mean a total of three angles will ALWAYS equal 180°. If one angle is greater than the other two, then there is a possible chance the angle will not be 180°. If the angles are scalene, then there is a greater chance the angle may not be 180°.

This may be wrong, so you don’t have to come up with my response exactly, just modify it to what you need. Wish you luck.

The measures of the 3 angles in a triangle always sum to 180 degrees.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We have to determine the prove that the measures of the 3 angles in a triangle always sum to 180 degrees.

We have been given that angles as

∠ DAB, ∠ BAC, and ∠ CAE.

Each 180-degree rotation takes line BC to a parallel line. So line DA is parallel to BC and line AE is also parallel to BC.

There is only one line parallel to BC that goes through point A, so lines DA and AE are the same lines.

Since line DE is parallel to line BC,

∵ alternate interior angles are congruent.

This represents that angle BAD also measures b" and angle CAE also measures c'. D

Since DE is a line, the 3 angle measures at point A would sum to 180 degrees.

So a + b + c = 180.

The fact that this explanation is dependent on the triangle we started with indicates that any triangle's sum of its three angles is always 180 degrees.

Therefore, the measures of the 3 angles in a triangle always sum to 180 degrees.

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The answer to the questions on instrument are:

True

True

True

True

False

True

True: A survey timeline typically includes various dates related to the survey administration, such as the start and end dates for participant recruitment, the date for activation of the measurement instrument, and the deadline for completing the survey. The date for activation of the measurement instrument refers to the date on which the survey respondents can begin answering the questions.

True: Instrument disposition refers to the process of distributing and collecting the measurement instruments. This can involve various methods, such as mailing the instruments to the participants or delivering them to a dropbox for paper-and-pencil instruments.

True: Participant data entry can increase the accuracy of a data record because it eliminates the need for manual data entry, which can introduce errors. With participant data entry, the participants themselves enter their responses directly into a computer or mobile device, ensuring that the data is accurate and complete.

True: A significant number of "Don’t Know" responses to a closed measurement question may indicate that the measurement instrument failed to provide appropriate response categories. If the survey respondents are unsure about how to answer a question and there is no appropriate response option available, they may select "Don’t Know" instead.

False: Cross-tabulation in CFA (Confirmatory Factor Analysis) is typically used to examine the relationship between two or more variables, and it is not called a contingency table. A contingency table is a table used to display the frequencies and/or percentages of two or more categorical variables.

True: Percentages are a way of expressing data in relation to a base of 100, making it easier to compare variables. For example, if 80 out of 100 respondents answered "Yes" to a question, we can say that the percentage of respondents who answered "Yes" is 80%. This allows us to compare the percentage of "Yes" responses to other questions or variables in the survey.

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It should be noted that it is possible to construct a matrix with linearly independent columns. This means that no one column can be represented as a linear combination of the other columns. In this case, the columns are said to span the space of the matrix.

It is also possible to construct a matrix with linearly independent rows. This means that no one row can be represented as a linear combination of the other rows.

In this case, the rows are said to span the space of the matrix. In general, the rows and columns of a matrix may or may not be linearly independent, depending on the specific matrix and the basis used to represent it.

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Answer:

28

Step-by-step explanation:

You can have 8 1x2 vertical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

Hope this helps!

Answer:

28

Step-by-step explanation:

You can have 8 1x2 vertical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

you can draw it out

1+7+1+9+10=28

10 lbs of mixed nuts that contain 70% peanuts must lea add to 13 lbs. of mixed nuts that contain 20% peanuts to make a mixture with 44% peanuts.

Let x pounds be the amount of mixed nuts we require.

Amount of peanuts in this mix = 0.70x pounds.

Amount of peanuts in the 20% mix = 0.20 × 15 = 3 pounds.

So we have the equation:-

⇒ 0.70 x + 3 = 0.44 (x + 15)

⇒ 0.70 x + 3 = 0.44 (x + 15)

⇒ 0.70x + 3 = 0.44x + 6.6

⇒ 0.70x - 0.44x = 6.6 - 3

⇒ 0.36x = 3.6

⇒ x = 3.6 / 0.36

x = 10 lbs

Hence , 10 lbs of mixed nuts that contain 70% peanuts must lea add to 13 lbs. of mixed nuts that contain 20% peanuts to make a mixture with 44% peanuts.

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Answer:

part 1: $532.95. Part 2: 16

Step-by-step explanation:

Part 1: 15 * 15.35 = 230.25

30 * 10.09 = 302.70

230.25 + 302.70 = $532.95

Part 2: R = letters in the word desk

there are 4 letters in the word Desk

\(2^{R}\) = \(2^{4}\) = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets

Answer:

8. 9.1

9. 12.2

Step-by-step explanation:

8. let x represent the missing side:

Using pythagoras theorem;

13.3² = x² + 9.7²

x² = 13.3² - 9.7²

x² = 82.8 taking the square root of both sides;

x = 9.1

9. let y represent the missing side:

Using pythagoras theorem;

y² = 10² + 7²

y² = 149 taking the square root of both sides;

y = 12.2

Answer:

\(1 + cot^2 \theta\)

Step-by-step explanation:

Given the expression;

\(\frac{tan^2\theta+1}{tan^2 \theta}\)

Separating into partial fraction;

\(\frac{tan^2 \theta}{tan^2 \theta} + \frac{1}{tan^2 \theta}\\= 1 + \frac{1}{tan^2 \theta}\\\\\)

Since \(\frac{1}{tan \theta} = cot \theta\\\)

Hence the expression becomes;

\(1 + cot^2 \theta\)

Answer:

\(x>5\)

Step-by-step explanation:

\(\frac{x}{25}>5\\\\25(\frac{x}{25})>25(5)\\\\\frac{x}{1}>125\\\\x>125\\\\\underline{x>5}\Longleftarrow\:Answer\)

Answer:

The answer is 393/1000

Step-by-step explanation:

Answer:

131/333 is the correct answer

Step-by-step explanation:

Answer:

A = 131°

Step-by-step explanation:

Supplementary angles sum 180°

A + B = 180°

(3x - 28) + (x - 4) = 180

4x - 28 - 4 = 180

4x - 32 = 180

4x = 180 + 32

4x = 212

x = 212/4

x = 53

Then:

A = 3x - 28

A = 3*53 - 28

A = 159 - 28

A = 131°

B = x - 4

B = 53 - 4

B = 49°

Check:

131° + 49° = 180°

Answer:m∠A=33

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

An invalid solution.

When you use the quadratic formula, for example, to  solve for 't', time, you will often find one of the values of 't' to be  NEGATIVE value for time.....this would be an extraneous solution.      

   Sometimes when working with LOG equations you may fin an answer which is negative.....you cannot have a LOG of a negative number...THAT solution would be EXTRANEOUS

 ETC

SO, always check your answers to see if they 'work' for your problem.

The vertical asymptotes for the function f(x) = (x^2)(x-6)(x+3)^-1 are x=6 and x=-3.

The vertical asymptotes for the function f(x) = (x^2)(x-6)(x+3)^-1 are x=6 and x=-3. This is because the denominator can be factored into two linear expressions: x-6 and x+3. When either of these expressions equals 0, the fraction becomes undefined and a vertical asymptote is created. To find the asymptotes, set each linear expression in the denominator equal to 0 and solve for x. For x-6, x=6; for x+3, x=-3. Therefore, the vertical asymptotes of the function are x=6 and x=-3. When x is close to either of these values, the fraction will become very large, making the graph approach the vertical asymptotes without ever touching them.

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Answer:

\( \frac{72 x 2y2z}{12xyz} \\ = 6xyz\)