What is this answer?

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

hey there!!!

Step-by-step explanation:

i think the best option is acute and isosceles from my view

hope it helps you...

There are 18 seasons and the number of different line-ups the team can make is 24310

A) We are given the team has 17 players and there are 9 different positions in the team.

This is a combination question and thus, the number of different line-ups the team can make is;

C(17, 9) = 24310

B) We are told the basketball games consist of 9 innings.

Thus,

Number of games you can fill = 24310/9 = 2701.1111

And then we are told a season consists of 147 games.

Thus;

The number of complete seasons can the team play without repeating a line-up = 2701.1111/147 ≈ 18 seasons.

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Answer:

6^540

Step-by-step explanation:

The UCR (Uniform Crime Reporting) is B. not a truly reliable measure.

The UCR is a program established by the FBI in 1930 to collect and analyze crime statistics from law enforcement agencies across the United States. Although it provides useful data and insights into crime trends, it is not without its limitations. One significant issue with the UCR is that it relies on voluntary reporting from law enforcement agencies, meaning that some areas may not provide complete or accurate data. This can lead to an underrepresentation of certain crimes or inconsistencies in reporting across jurisdictions.

Another limitation is that the UCR only includes reported crimes, excluding any unreported criminal activity. This means that the data does not necessarily provide a comprehensive picture of all crimes occurring in a given area. Additionally, the UCR uses a hierarchy rule, meaning that if multiple crimes are committed during a single incident, only the most severe crime is counted. This can result in an undercounting of less severe but still significant crimes.

In summary, although the UCR provides valuable information on crime trends and patterns, it is not a truly reliable measure due to its reliance on voluntary reporting, exclusion of unreported crimes, and hierarchy rule. Therefore, the correct option is B.

The question was incomplete, Find the full content below:

it is fair to say that the ucr is: group of answer choices

A. A mutually exclusive measure

B. Not a truly reliable measure

C. An exhaustive measure

D. All of the above

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Answer: 9.7

Step-by-step explanation: 97 divided by 10 is 9.7

Answer:

\(10a - 41\)

Step-by-step explanation:

We can represent the area of the shaded section with the equation:

\(A_\text{shaded} = A_\text{rect} - A_\text{square}\)

First, we can solve for the area of the large enclosing rectangle:

\(A_\text{rect} = l \cdot w\)

↓ plugging in the given side lengths

\(A_\text{rect} = (a+4)(a-4)\)

↓ applying the difference of squares formula ... \((a + b)(a - b) = a^2 - b^2\)

\(A_\text{rect} = a^2 - 16\)

Next, we can find the area of the non-shaded square.

\(A_\text{square} = l^2\)

↓ plugging in the given side length

\(A_\text{square} = (a-5)^2\)

↓ applying the binomial square formula ... \((a - b)^2 = a^2 - 2b + b^2\)

\(A_\text{square} = a^2 - 10a + 25\)

Finally, we can plug these areas into the equation for the area of the shaded section.

\(A_\text{shaded} = A_\text{rect} - A_\text{square}\)

↓ plugging in the areas we solved for

\(A_\text{shaded} = \left[\dfrac{}{}a^2 - 16\dfrac{}{}\right] - \left[\dfrac{}{}a^2 - 10a + 25\dfrac{}{}\right]\)

↓ distributing the negative to the subterms within the second term

\(A_\text{shaded} = \left[\dfrac{}{}a^2 - 16\dfrac{}{}\right] + \left[\dfrac{}{}-a^2 + 10a - 25\dfrac{}{}\right]\)

↓ applying the associative property

\(A_\text{shaded} = a^2 - 16 -a^2 + 10a - 25\)

↓ grouping like terms

\(A_\text{shaded} = (a^2 -a^2) + 10a + (- 16 - 25)\)

↓ combining like terms

\(\boxed{A_\text{shaded} = 10a - 41}\)

Answer:

4 balls for $2.50

Step-by-step explanation:

If 4 balls=$2.50

Then,$2.50+2.50= $6.25

$6.25 for 8 balls

The effective interest method is used to amortize the bond premium. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond. The journal entry for bond issuance is as follows: Dr. Cash 205,000, Dr. Premium on Bonds Payable 5,000, Cr. Bonds Payable 210,000

The effective interest method is a method of amortizing bond premium or discount that takes into account the time value of money. The effective interest is the interest that would be earned if the bond were purchased at its market value and held to maturity. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond.

The journal entry for bond issuance records the proceeds from the sale of the bonds, the premium on bonds payable, and the bonds payable. The proceeds from the sale of the bonds are equal to the face value of the bonds plus the premium.

The premium on bonds payable is a liability that represents the excess of the issue price of the bonds over their face value. The bonds payable account is a long-term liability that represents the amount that the company owes to the bondholders.

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Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

(C) 20 Hours

Step-by-step explanation:

Answer:

Ted's Organic Market

Step-by-step explanation:

Calculate the unit cost ( price per pound )

From the table using $16.50 for 6 lbs , then

unit cost = $16.50 ÷ 6 = $2.75

From the graph using $8.40 for 3 lbs , then

unit cost = $8.40 ÷ 3 = $2.80

Ted's Organic Market has the better price

Answer:

B (angle 1 = angle 2 and angle 2 = angle 3, therefore angle 1 = angle 3

Step-by-step explanation:

Congruent angles are angles that have the same degree, but are facing different directions

so angle 1 and 2 are facing different directions, but have the same degree same with 2 and 3. but angle 1 and 3 are facing the same way but also have the same degree.

Answer:

9.2

Step-by-step explanation:

divide percentages by 100 if you're converting it to a decimal

;)

Answer:

9.2

920%

900-20

9.00

+

0.20

_____

9.20 or 9.2

i) Ratio of roses to total number of flowers is 4:12

ii) Ratio of camations to daffodils in three different ways are 5/3 , 5:3 and 5 to 3

iii)    Ratio of total number of flowers to camations is 12/5, 12:5 and 12to5

iii) Ratio of roses to daffodils are 4/3, 4:3 and 4to3

Given that,

Number of roses in bouquet = 4

Number of camations in bouquet = 5

Number of daffodils in bouquet =3

Thus total number of flowers in a bouquet = 4 + 5 + 3

                                                                            = 12

Therefore there are 12 flowers in bouquet.

a) The ratio of roses to the total number of flowers in the bouquet is ;

                               Number of roses :  total number of flowers

                                                          4 : 12

b) The three different ways of writing ratio of camations to daffodils are:

i) Fraction -  5/3

ii) Ratio using colon – 5:3

iii) Word form – 5 to 3

c) The three different ways of writing ratio of total number of flowers to camations are:

i) Fraction -  12/5

ii) Ratio using colon – 12:5

iii) Word form – 12 to 5

d) Ratio which compare flowers of one part of the bouquet to the another is given by:

Here we will compare number of roses to number of daffodils.

i) Word form-   4 to 3

ii) Ratio using colon -  4:3

iii) Fraction – 4/3

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Answer:

a₂₀ = 75

Step-by-step explanation:

Substitute n = 20 into the n th term rule , that is

a₂₀ = 4(20) - 5 = 80 - 5 = 75

The completed square form of the quadratic equation \(x^2+ 4x + \sqrt9 = 0\) is (x + 2)² = 1 results in the solutions x = -3 and x = -1.

Given the quadratic equation x² + 4x + √9 = 0, we want to manipulate it to obtain a perfect square trinomial. To do this, we take half of the coefficient of x, square it, and add it to both sides of the equation.

Taking half of 4, we get 2. Squaring 2, we obtain 4. Adding 4 to both sides of the equation, we have x² + 4x + 4 = 1.

Now, we have a perfect square trinomial on the left side: (x + 2)² = 1.

To solve for x, we take the square root of both sides, considering both the positive and negative square root. This gives us two solutions:

x + 2 = ±1.

Simplifying further, we have x = -2 ± 1.

In summary, completing the square for the quadratic equation \(x^2+ 4x + \sqrt9 = 0\) results in the solutions x = -2 ± 1, results in the solutions x = -3 and x = -1.

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We have

We have

y=2x+3

We replace x with y

x=2y-3

then we isolate the y and we obtain the inverse function is

The domain is the set of all possible values that can have x , the domain of the inverse function is

the range is the ser of values that can have y all the possible values in this case the range is

The given statement is true 30/35=6/7.

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three quarters.

We have,

30/35=6/7.

true 30/35 = 6/7?

So,

LHS = 30/35

Divide the numerator and denominator by 5 we get

LHS = 6/7

LHS = RHS

Hence, the given statement is true 30/35=6/7.

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Answer:

Vertical stretch of 4

Vertical translation of 2 units down

Step-by-step explanation:

Since f(x)=2x is the base function, g(x) = 8x - 2 shows an "a" value which has been multiplied by 4 and a "c" value which shows a vertical translation of -2.

After solving the question by Pythagorean theorem we have: OM = PR(cos(ß) - sin(ß)) = cos(a + ß)(cos(ß) - sin(ß)) as the expression for the length of segment OM.

You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse. Pythagoras' formula is: \(a^{2} + b^{2} = c^{2}\)

There seems to be a typo in the question, as "segment ON =" is not followed by an expression or value. However, I will provide an explanation based on the given information.

We start with the point (1,0) on the unit circle and rotate it counterclockwise by an angle of a + ß. This brings us to the point P on the circle, which has coordinates (cos(a + ß), sin(a + ß)).

Next, we draw a perpendicular segment PN from point P to the line ON, where O is the origin (0,0) and N is the foot of the perpendicular from P to ON. We also draw another perpendicular segment PR from point P to the x-axis.

From the right triangle ONP, we see that ON = sin(a + ß) (since sin is the y-coordinate of a point on the unit circle) and NP = cos(a + ß) - 1 (since the x-coordinate of P is cos(a + ß) and we started with the point (1,0)).

Using the Pythagorean theorem, we have:

\(OM^2 + NP^2 = ON^2\)

where OM is the segment from point O to the foot of the perpendicular from P to the x-axis (which we called R). Since OR is perpendicular to PR, we have OR = PR cos(90 - ß) = PR sin(ß), and since OP is perpendicular to PR, we have OP = PR cos(ß).

Thus, OM = OP - OR = PR cos(ß) - PR sin(ß) = PR(cos(ß) - sin(ß)).

Substituting this into the Pythagorean theorem equation, we have:

(PR(cos(ß) - sin(ß))) + (cos(a + ß) - 1) = sin(a + ß)

This is the expression for the length of segment OM.

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Answer: it is B

Step-by-step explanation:

The probability of obtaining a royalty card = 3/13

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

We know that:

The number of cards in a pack = 52

and, Royalty cards contain is 12

We have to find the probability of obtaining a royalty card.

Now, According to the question:

The probability of obtaining a royalty card = Number of royalty cards/ total no. of cards

Plug the values in the probability formula:

The probability of obtaining a royalty card = 12/52 = 6/26 = 3/13

Hence, The probability of obtaining a royalty card = 3/13

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The quantity \((6\sqrt{x^5})^7\) is transformed, into an expression with a rational exponent.

\(x^5 * 7 = 35\)

This is further explained below.

Exponents are said to be rational if they are able to be represented in the form of p/q, where the value of q is less than 0.

The notation for rational exponents is often written as xm/n, where x represents the base (a positive integer) and m/n is the rational exponent. Exponents may also be represented as xmn=nxm x m n = x m n.

This is another way to express rational exponents.

Generally, the equation is mathematically given as

\((6\sqrt{x^5})^7\)

By bearing this in mind, we can make this process easier.

\((a^m)^n = a^m * n\)

Therefore

\(x^5 * 7 = 35\)

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Based on the speed of the Great White Shark in kilometers per hour, the meters per hour that the Great White Shark swims at top speed is 40,000 meters per hour

A kilometer per hour is equivalent to 999.999 meters per hour or 1,000 meters per hour approximately.

This means that if a Great White Shark swims at 40 kilometers per hour at its top speed, in meters per hour this is:
= 40 x 999.999

= 39,999.60 meters per hour

= 40,000 meters per hour

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Answer:

75

if your teacher says

that it is wrong then tell him/her to study once again

Answer:

x = 75

Step-by-step explanation:

The angle vertically opposite 50° is also 50° ( congruent )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (50 + 55)° = 180° - 105° = 75°

Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403