What is the answer to X and Y?

Answer:

(f - g)(x) = \(3^{x}\) + 8x + 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= \(3^{x}\) + 10x - (2x - 4) ← distribute parenthesis by - 1

= \(3^{x}\) + 10x - 2x + 4 ← collect like terms

= \(3^{x}\) + 8x + 4

The length ST of the triangle STU is 12.2 units.

Similar triangles are the triangles that have corresponding sides in

proportion to each other and corresponding angles equal to each other.

Therefore, using the similarity ratios, the side ST of the triangle STU can be found as follows:

Therefore,

PQ / ST = QR / TU

Hence,

61 / ST = 50 / 10

cross multiply

610 = 50 ST

divide both sides by 50

ST = 610 / 50

ST = 610 / 50

ST = 12.2 units

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The no: of solutions that the equation -1/2(-8x+14) = 3x +9+x  has is 1

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The no: of solutions that the equation is -1/2(-8x+14) = 3x +9+x is 1

as the equation is 1 degree polynomial.

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Answer:

x-intercept: (2,0)

y-intercept: (0,-4/3)

vertical asymptote: x = -3

Step-by-step explanation:

To find the x-intercepts, we can set f(x) to 0, which is y=0:

2x-4/x+3 = 0

2x-4 = 0

2x = 4

x = 2

To find the y-intercepts, we can set x to 0:

2(0)-4/(0)+3 = y

y = -4/3

To find the vertical asymptote, we can set the denominator equal to 0:

x+3 = 0

x = -3

Answer: 454.5

Step-by-step explanation:

-2, 20, -200, 2,000 ==> 4 numbers

Mean: (-2+20+(-200)+2000)/4=

(18-200+2000)/4=

(-182+2000)/4

1818/4=454.5

Answer:

He travelled 800m in 20s.

Step-by-step explanation:

7s = 280m

20s = 280/7 × 20m

= 40×20m

= 800m

Answer:

Distance is 800 m

Step-by-step explanation:

\({ \tt{distance = speed \times time}}\)

» Speed is 280/7 = 40m/s

» Time is 20 s

\({ \tt{distance = 40 \times 20}} \\ = 800 \: { \tt{m }}\)

Answer:

A

Step-by-step explanation:

I hope that helps

The simplified value of the given expression is - 117. Therefore the correct answer is option A.

It stands for B - Brackets, O - order of power, D -  division, M - multiplication, A - addition, S - subtraction.

Solving the expression

\(\frac{-(-4)(-6)-3/5(10+15)}{1/3} \\=\frac{-(24)-3/5(25)}{1/3}\\=\frac{-(24)-3(5)}{1/3}\\= \frac{-(24)-(15)}{1/3}\\= \frac{(-39)}{1/3}\\= -39 \times 3\\= -117\)

Hence the simplified value of the given expression is - 117. Therefore the correct answer is option A.

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Answer:

Solution

x=1

x=−6

Step-by-step explanation:

x(+3)+2(x+3)=12

Answer: Sol={-6,1}

Step-by-step explanation:

1) we are searching value of x in R

\((x+2)(x+3)=12\\x^2+2x+3x+6-12=0\\x^2+5x-6=0\\\\x^2-x+6x-6=0\\\\x(x-1)+6(x-1)=0\\\\(x-1)(x+6)=0\\\\x=1\ or\ x=-6\\Sol=\{-6,1\}\\\)

2) we are searching value of x in Z.

12=1*12 =(-1)*(-12)

12=2*6=(-2)*(-6)

12=3*4=(-3)*(-4)

\(\begin{array}{|c|c|c|c|c|}x=&x+2=&x+3=&(x+2)(x+3)=&is\ solution\\---&---&---&---&---\\1&3&4&12&True\\2&4&5&20&False\\3&5&6&30&False\\4&6&7&42&False\\6&8&9&72&False\\12&14&15&210&False\\---&---&---&---&---\\-1&1&0&0&False\\-2&0&1&0&False\\-3&1&2&2&False\\-4&2&3&6&False\\-6&-4&-3&12&True\\-12&-10&-9&90&False\\---&---&---&---&---\\\end{array}\\\\\\\boxed{Sol=\{-6,1\}}\)

Answer:

\(x^{\frac{5}{8}}\)

Step-by-step explanation:

8th root of x to the power fifth. This means the power will be 5/8

Your choice is correct .

FALSE

Exponential growth is a pattern of data that shows sharper increases over time. In finance, compounding creates exponential returns. Savings accounts with a compounding interest rate can show exponential growth.

One of the best examples of exponential growth is observed in bacteria. It takes bacteria roughly an hour to reproduce through prokaryotic fission. If we placed 100 bacteria in an environment and recorded the population size each hour, we would observe exponential growth

First, population size is influenced by the per capita population growth rate, which is the rate at which the population size changes per individual in the population. This growth rate is determined by the birth, death, emigration, and migration rates in the population.

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Exponential growth depends on the per capita growth rate (rmax) of a population gradually increasing over time.

The given statement is false.

Exponential growth is a continuous boom or lower in a populace in which the price of change is proportional to the range of people at any given time.

It is growth that maintains acceleration with time and is a J-shaped curve. The intrinsic price of an increase in a populace is calculated by including the dying rate and the birth price.

Divide both sides by N and you get the growth rate per number of individuals ("per capita"): Because r = rmax [1-(N/K)] in the logistic model, we can substitute r: Thus, r equals the per capita growth rate.

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Answer:

1/6 or 0.16...

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3x6

The area and perimeter of the shape are 370mm² and 90mm respectively.

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

Perimeter is the addition of the sides of the shape.

Therefore, the perimeter of the shape = 15+15+30+30 = 30+60 = 90mm

The area of the shape = area of the whole shape - area of the cut out

area of the whole shape = l×w

= 30×15 = 450mm²

area of the cut out =l×w

8× 10 = 80mm²

area of the shape = 450-80

= 370mm²

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The fixed monthly payment for this loan is $186.07.

Each month, the borrower will make a payment of $186.07, which will include both interest and principal.

The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.

It is the interest calculated on the principal at a given rate for a time period.

We have,

Here is an example of a simple interest-amortized loan with fixed monthly payments:

Loan amount: $10,000

Interest rate: 5% per year (0.42% per month)

Loan term: 5 years (60 months)

To calculate the fixed monthly payment, we can use the formula:

P = (Pv x r) / (1 - (1 + r)^(-n))

where:

P = monthly payment

Pv = present value of the loan (the amount borrowed)

r = monthly interest rate

n = total number of payments

Substituting the given values,

P = (10,000 x 0.0042) / (1 - (1 + 0.0042)^(-60))

P = $186.07 (rounded to the nearest cent)

Therefore,

The fixed monthly payment for this loan is $186.07.

Each month, the borrower will make a payment of $186.07, which will include both interest and principal.

The interest portion of the payment will decrease over time, while the principal portion will increase until the loan is fully paid off at the end of the 5-year term.

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Answer:

XW = 134

Step-by-step explanation:

The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So

VX + XW = 180

We have that VX = 46. So

46 + XW = 180

XW = 134

Answer:

Step-by-step explanation:

Supplementary angles means that the angle sum of the two angles will equal 180 degrees :)

Answer:

If they are Supplementary Angles it means that they add up to 180 degrees (✿◠‿◠)

a) To make the table for the proportional relationship, given that he delivers 14 newspapers in 20 minutes, the first step is to determine the unit rate (or constant of proportionality), that is, the number of papers he delivers in one minute.

Let x be the time in minutes and y be the number of newspapers delivered, their relationship can be expressed as:

Where k is the constant of proportionality, you can calculate it as:

For x=20 and y=14

The unit rate is 0.7 newspapers per minute.

Answer:

There are a total of 143 + 62 = 205 people coming to the party.

To calculate the number of tables needed, we divide the total number of people by the number of people per table:

205 ÷ 15 = 13 with a remainder of 10

Since we can't have a fraction of a table, we need to round up to the nearest whole number, which means the Saad family will need 14 tables for all guests.

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.

Hence, the marginal utility of the fifth apple equals :

Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)

= (250 - 220) = 30

Hence, marginal utility per dollar: Marginal utility/price per apple

Price per apple = $0.5

Marginal utility of 5th apple = 30

Marginal utility of 5th apple = 30 / 0.5

Marginal utility of 5th apple = 60

Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

Complete question :

If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:

a) 20

b) 30

c) 40

d) 60

Number of apples ____total utility

2__________________130

3__________________180

4__________________220

5__________________250

6__________________270

7__________________280

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a. The number of passengers for each cruise line in thousands:

4,133,000 passengers ÷ 1,000 = 4,133 passengers

2,369,000 passengers ÷ 1,000 = 2,369 passengers

1,295,000 passengers ÷ 1,000 = 1,295 passengers

928,000 passengers ÷ 1,000 = 928 passengers

679,000 passengers ÷ 1,000 = 679 passengers

So, the answer is 4,133; 2,369; 1,295; 928; 679.

b. The mean number of passengers can be found by adding the number of passengers for each cruise line and then dividing the total by the number of cruise lines, which is 5.

(4,133 + 2,369 + 1,295 + 928 + 679) ÷ 5 = 10,514 ÷ 5 = 2,102.8 passengers

So, the mean number of passengers is 2,102.8 passengers.

c. The range is the difference between the highest and lowest number of passengers, which is:

4,133 - 679 = 3,454 passengers

So, the range is 3,454 passengers.

d. The standard deviation can be calculated using the formula for the standard deviation of a sample. However, this calculation is quite complex and requires a significant amount of mathematical knowledge and computational resources. Without access to those resources, the standard deviation cannot be calculated

The standard deviation is a measure of the amount of variation or dispersion from the mean. It shows how spread out the values in a set of data are. To calculate the standard deviation, the difference of each value from the mean is squared and then divided by the number of items in the set. The standard deviation provides a way to quantify the degree of variation of the values around the mean. It is a useful tool for understanding how much each value in a set deviates from the average.

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Answer:

4(g - h) + 10

plug in the actual value of the variables

4(12 - 7) + 10

4(5) + 10

20 + 10

= 30

The product of any two numbers is the result of multiplying them

You can use pencil and paper to get the job done, or use a calculator.

A shortcut is to simply move the decimal over 1 spot to the right.

This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.

Answer: $16.06 (rounded to nearest cent)

Step-by-step explanation:

Answer:

number

2.A

3.1/1

4.A

5.up right side ididnt see

6.5 right

7.place the positive for and walk in to the left side and count eleven start to 4