What value of n makes the equation true?
(2x^9Y^n)(4x^2y^10) – 8x^11y^20
O 1
O 2
O 10
O 30​

Answer:

a. \(f(x) = 3 + 0.2x\)

b. 6$

c. 35 miles

Step-by-step explanation:

There is a fixed price of $3 per ride, therefore, the y-intercept of the function would be $3, as she has to pay that amount for any amount of miles ridden in the cab.

In addition, she must add an extra $0.2 for every mile she has ridden in the cab. We can represent the amount of miles using the parameter \(x\).

Therefore, the function to represent the cost of a cab-ride would be \(f(x) = 3 + 0.2x\).

b. To find out how much she must pay for a 15-mile trip, we must substitute \(x = 15\), as she has ridden 15 miles in the cab.

\(f(x = 15) = 3 + 0.2 \times 15 \to 3 + 3 \to 6\)

She must pay $6 for the ride.

c. To find out how far she can travel if she only has $10, we would have to equalize the function to 10, as that is the final price she has to pay.

\(f(x) = 10\\\to 3 + 0.2x = 10\\\to 0.2x = 7\\\to x = 35\)

For $10, she can travel 35 miles.

Answer: For $10, she can travel 35 miles.

Step-by-step explanation:

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

-15

Step-by-step explanation:

-16 -|-6| +7

-16 - 6 + 7

= - 15

Absolute value is just taking the positive value of a number.

Step-by-step explanation:

-16-(-2-4)+7=

-16-(-6)+7=

-16+6+7=

-16+13=

-3

Answer:

0) 0

1) 5

2) 8

3) 9

4) 8

5) 5

6) 0

Step-by-step explanation:

Just input the values that the equation needs.

ex. when x=0

6(0)-(0)^2

0-0

0

Sorry! Not the best explanation but hopefully you get the idea :)

Answer:

40 square meters

Step-by-step explanation:

Length of rectangle = 8 m

Width of rectangle = 5 m

A(rectangle) = Length * Width

-> A(rectangle) = 8*5

-> A(rectangle) = 40 square meters

Answer:

on the third column it should be tens and not ones.good job so far tho!

Answer:

6

Step-by-step explanation:

14x+21+6=12x+39

14x+27=12x+39

14x-12x=39-27

2x=12

x=6

Answer:

x = 27

Step-by-step explanation:

7(2x–3)+6 = 12x+39 (Given)

14x - 21 + 6 = 12x + 39 (distributive property of equality)

14x - 15 = 12x + 39 (combine like terms)

14x = 12x + 54 (addition property of equality)

2x = 54 (subtraction property of equality)

x = 27

The Kid Laroi

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

The code, after the operations with the rational numbers, is given as follows:

ACDB.

For the first question, the operation is given as follows:

-3.5 + (-8.9).

We are adding two negative numbers, meaning that the signal is negative while the amounts are added.

-(3.5 + 8.9) = -12.4.

Meaning that the code for Q1 is given as follows:

Q1 = D.

For the second question, with the subtraction by the negative, the two negatives cancel themselves, as follows:

1/9 - (-2/3) = 1/9 + 2/3.

Then the fractions are added as follows:

1/9 + 2/3 = 1/9 + 6/9 = 7/9.

Meaning that the code for Q2 is given as follows:

Q2 = A.

Thus the entire code is given as follows:

Q2 Q4 Q1 Q3

For the third operation, we have a multiplication of two numbers with different signals, hence the signal is negative:

3/9 x -3/5 = -9/45 = -1/5.

Hence the code for Q3 is given as follows:

Q3 = B.

For the fourth operation, we have a division of two terms with the same signal, hence the quotient is positive as follows:

-0.7/-3.5 = 1/5 = 0.2.

Hence the code for Q4 is given as follows:

Q4 = C.

Thus the entire code is given as follows:

Q2 Q4 Q1 Q3

Hence:

ACDB

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(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

dot A is 0.62 dot B is 7/9 and dot C is 10/9

Step-by-step explanation:

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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Unit conversion is a way of converting some common units into another without changing their real value. The lemonade left with Tony is 4500ml.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

One litre is equal to 1000 millilitres. Tony made 14 Liter of lemonade, therefore, Tony made 14,000 millilitres of lemonade. His guest drank 9500 millilitres. Therefore, the lemonade left with Tony is,

Lemonade left = 14,000 - 9,500 = 4,500 ml

Hence, the lemonade left with Tony is 4500ml.

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Answer:

360 calories

Step-by-step explanation:

If you look at the ammount of Calories  per 3/4 you will quickly find that 3/4 ths of a cup is 1/4 of your goal so multiply the amount of calories by 4 and you will get your awnser.

Problem 1

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

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

Problem 2

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

Answer:

x = 46.13 cm

Step-by-step explanation:

It is a right triangle, the missing side is a cathetum, according to the Pythagorean Theorem:

Assign "x" to the missing side:

\((47)^{2} =(9)^{2} +x^{2}\)

\(x^{2} =(47)^{2} -(9)^{2} =2128\)

\(x=\sqrt{2128} =46.13\)

Hope this helps

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

If x and y are in direct proportion and y is 2 when x is 4 and  y is 6 when x is 12.

By definition of proportionality,

If y is directly proportional to x,

y α x

i,e y = k(x)

K is the constant of proportionality

when x = 4, y =2

2 = k(4) --> k = 1/2

Now y = k.x

       y = 1/2 (12)

       y = 6

The proportional constant  is a ratio that connects two given values ​​in a so-called proportional relationship. Other names for the constant of proportionality are constant ratio, constant rate, unit rate, constant of variation, or even  rate of change.

To find the constant of proportionality, first identify the variables x and y. To find out the relationship between weight and number of sticks, x is the weight and y is the number of butter sticks. Use the equation k = y÷ x to find the constant of proportionality.

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Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

19.8 or 19 4/5

Step-by-step explanation:

Step 1: Set up the expression.

Step 2: Simplify.

Therefore, the answer is 19.8 or 19 4/5.

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:

x = 4

Step-by-step explanation:

2x + 1 ≥ 0

2x ≥ -1

2/2 x ≥ -1/2

x ≥ -1/2

√(2x+1)² = (4-1)²

2x + 1 = 3²

2x = 9 - 1

2x = 8

2/2 x = 8/2

x = 4

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Alias, which is a name given to the calculated field that is used to reference the expression in the query.

A calculated field can be included in a query by entering an alias, which is a name given to the calculated field, and then the expression in one of the columns in the field row. An alias should be descriptive of the calculated field and its purpose in the query. The expression entered should be written in the same syntax used to write conditions in the query. Calculated fields can be used to calculate values from multiple fields in the query or to manipulate data. It can also be used to perform mathematical calculations, such as adding, subtracting, multiplying, or dividing values. They are especially useful when data needs to be manipulated or summarized before it is used in the query. Calculated fields are a great way to optimize queries and make them more efficient by reducing the amount of data that needs to be retrieved.

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