What is the number of books Regina must sell on day 5 to have a mean of 90 books sold? A- 89B- 90C- 94D- 98

Answer:

-2

Step-by-step explanation:

You have to simplify numerator and denominator through factoring. The you should get an expression involving only a + b which is given as -2

Take numerator
\(a^2-b^2-12b-36\)

Factor
\(-b^2-12b-36\)

\(= - (b^2 + 12b + 36)\\\\= -(b+6)^2\)

So numerator becomes
\(a^2-\left(b+6\right)^2\)

Apply difference of squares formula: \(\displaystyle x^2-y^2=\left(x+y\right)\left(x-y\right)\)

\(\mathrm{with\;} x^2 == > a^2, and y^2 == > (b + 6)^2\)

\(\implies a^2-\left(b+6\right)^2 \\== \left(a+\left(b+6\right)\right)\left(a-b-6\right)\)

Denominator
\(a^2-6a-b^2-6b\)

can be factored as follows

\(a^2-b^2 = (a + b) (a -b)\)
\(-6a-6b = -6\left(a+b\right)\)

So denominator becomes
\(\left(a+b\right)\left(a-b\right)+-6\left(a+b\right)\)

Factor out common term (a+b) to get
\(\left(a+b\right)\left(a-b-6\right)\)

So the original expression with Numerator and denominator

\(\displaystyle =\frac{\left(a+b+6\right)\left(a-b-6\right)}{\left(a+b\right)\left(a-b-6\right)}\)
Cancel the common factor (a-b-6) to get
\(\displaystyle \frac{a+b+6}{a+b}\)

Since a + b = -2, plug in this value of (a+b) in both numerator and denominator to get
\(\displaystyle \dfrac{-2 + 6}{-2}\)
\(\displaystyle = - 2\)

Answer: -2

Answer: The last one is the right one

Step-by-step explanation:

So first solve for n

1/2n+3<5

1/2n<2, multiple by 2 on both sides to remove fraction

n<4

the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.

To factor the expression, we need to identify any common factors that can be pulled out of the terms.

The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.

Therefore, the expression can be factored as:

(-6g²rs²t)(g²r + 9²₂²) + 5422

This is the fully factored form of the expression.


????

The reflection mapping of the equation p(-2, 4) is \(\mathbf{R_{y =1}(P)=(-2,-2)}\)

To solve this question, we must understand what is reflection mapping is all about.

In mathematical concepts, a reflection is indeed a mapping via a Euclidean plane to itself. The isometry of this usually has a hyperplane with designated fixed points that are commonly referred to as axis.

From the given information, we have:

The given points P = (-2, 4)

Required to find:

\(\mathbf{R_{y =1}(P)}\)

Hence, the image of P under the axis(point of reflection line) is y = 1

Thus,

\(\mathbf{(x,y) = (x,2k-y)}\)

\(\mathbf{(x,y) = (-2,2(1)-4)}\)

\(\mathbf{(-2,4) = (-2,-2)}\)

Therefore, we can conclude that the \(\mathbf{R_{y =1}(P)=(-2,-2)}\)

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13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

One language disappears every ten day. Each language has history and culture that vanishes. This will affect the future of language and cultural diversity because people aren’t trying to save theses languages and culture. Imagine if the English language disappeared. Plenty of English speaking countries’ cultural would also disappear. Plus, lots of these languages know one knows about. The future of language diversity would be bland, for only big languages would exist. Therefore, the disappearance of languages will affect language because people don’t try to save culture, and there’d be no language diversity in the future.

The disappearance of languages at such a rapid pace has significant implications for both language diversity and cultural diversity.

Language diversity is essential as it reflects the richness and complexity of human communication and expression. Each language carries unique ways of perceiving and understanding the world, and its loss means losing a vast amount of cultural and intellectual knowledge.

When languages disappear, the world loses diverse perspectives, traditional knowledge systems, folklore, literature, and linguistic diversity itself.

Furthermore, language is deeply intertwined with cultural diversity. Language shapes and is shaped by culture, and it serves as a vehicle for transmitting cultural practices, values, beliefs, and traditions across generations. When a language vanishes, it often signifies a loss of cultural identity and can lead to the erosion of cultural practices and knowledge associated with that language. The extinction of a language can disrupt intergenerational transmission of cultural heritage, affecting not only linguistic diversity but also cultural diversity.

The consequences of language extinction extend beyond the loss of knowledge and cultural heritage. Language is an integral part of personal and collective identity. When a language dies, it can cause a sense of disconnection, loss, and alienation for the speakers and their communities. Language loss can also exacerbate social and economic inequalities, as marginalized communities often face language-based discrimination and exclusion.

To preserve language diversity and cultural diversity, concerted efforts are needed. Governments, communities, linguists, educators, and language enthusiasts can play a crucial role in documenting endangered languages, revitalizing them through language revitalization programs, promoting bilingual education, and creating platforms for language preservation and intercultural exchange. Recognizing the value of linguistic and cultural diversity is essential for fostering understanding, tolerance, and respect among different communities.

Overall, the future of language diversity and cultural diversity depends on our collective commitment to preserving, revitalizing, and celebrating the vast array of languages and cultures that enrich our world.

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The total interest on hire purchase was $1300

Given a cash price of $2,200, a down payment of $800, and instalment of $150 each, the total interest on hire purchase is given as:

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Slope of line is 1/2.

What is slope?

In arithmetic, the slope or gradient of a line is a range that describes each the direction and therefore the gradient of the road.

Main body:

to find the slope from a graph , we need to fix two co-ordinates at slope for axis

let point at x be = (40,40)

let point y = (80,60)

Formula for slope ,

m = y₂-y₁/x₂-x₁

m = 60-40/80-40

m = 20/40

m = 1/2

hence , slope of line is 1/2.

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The new value would be the starting value x 1 + interest rate:

New value = starting value x 1.06

The new value is 530:

530 = starting value x 1.06

Find the starting value by dividing the new value by 1.06:

start value = 530/1.06

Start value = 500

Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.

Answer:

39.584034 cm

Step-by-step explanation:

Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.

I used 3.14159 as pi.

work:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

Answer:

f(X)+g(X)-h(X)

3x²+5+4x+2-(x²-3x+1)

3x²+5+4x+2-x²+3x-1 [opened the brackets and changed the signs]

3x²-x²+4x+3x+5+2-1 [arranged the liked terms]

2x²+7x+7-1

2x²+7x+6

I don't see my answer in your options but trust me I have learned this and I am pretty sure that my answer is correct!!!!!!!

\( \\ 7 \sqrt{ \\ + 45)4} \)

Answer:

2

Step-by-step explanation:

Answer:125 meters

Step-by-step explanation:

volume of a cube is w^3

w=5

5*5*5

125 meters

Answer:

\(\large\boxed{5/8}\)

Step-by-step explanation:

16/10

We need to keep the fraction, but still simplify.

We can do this by dividing both the numerator by the same amount

Let's start with 2

(16 ÷ 2) / (10 ÷ 2)

8/5

This fraction is now in lowest terms, it cannot be simplified anymore as not whole number goes into both 5 and 8 evenly.

\(\large\boxed{5/8}\)

Let me know if you have any questions about my answer!

Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

Using the length formula we know that the length of the given arc is 30.144 miles.

In mathematics, an arc is a portion of the boundary of a circle or curve. It is sometimes referred to as an open curve.

The measurement around a circle that determines its edge is called the circumference, often known as the perimeter.

So, the formula to find the length of the arc is:

Length of an Arc = θ × r

Now, insert values and calculate as follows:

Length of an Arc = θ × r

Length of an Arc = 4π/5 × 12

Length of an Arc = 4π/5 × 12

Length of an Arc = 12.56/5 * 12

Length of an Arc = 2.512 * 12

Length of an Arc =  30.144

Therefore, using the length formula we know that the length of the given arc is 30.144 miles.

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The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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Answer:

the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3

Answer:

the answer is 18

Step-by-step explanation:

20:3=workers:casiers

120:x

cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18

hope this helps :)

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

Here you goooooooooo

Answer: 85%

Step-by-step explanation:

You can use proportions to solve this answer.

17/20=x/100

Solve for X

17(100)/20=x

85=x

Answer:

15% incorrect

Step-by-step explanation:

17/20 = x/100

17 ×5= 85

20×5 = 100

85/100 correct

15/100 incorrect

The term refers to a thorough count, often known as a comprehensive enumeration.

Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.

A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.

The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.

The correct answer is option C. A study of the durability of earthquake-proof building materials.

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Answer:

C. 151

Step-by-step explanation:

Since there are 6 sides on a die, and one of them is 3, the chance of rolling a 3 is 1/6.

To estimate how many times Susan rolled a 3, multiply 888 by 1/6:

888(1/6)

= 148

So, Susan rolled 3 on the die around 148 times.

This is closest to answer choice C. 151

Answer:

10 - 10 rupees note

Step-by-step explanation:

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