I was not taught this lesson in class today.

The given expression 3d - 4 is a linear expression.

Given that,
To classify the expression 3d - 4.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the linear function, cubic function, etc. ax+b is a polynomial.

Here,
Given expression 3d - 4, which only contains one variable d and one constant 4, or exponent to the variable is also 1 implies the expression is linear expression.

Thus, the given expression 3d - 4 is a linear expression.

Learn more about function here:

brainly.com/question/21145944

#SPJ1

Answer:

c = 18

d = 36

Step-by-step explanation:

2c = d (equation 1)

c + d = 54 (equation 2)

Use substitution by putting 2c in the place of d on the second equation.

c + 2c = 54

3c = 54

Then divide both sides by 3 to get c (18).

Then use equation 1 to find d. Do this by putting 18 in the place of c.

2(18) = d

Solve, and the answer is d = 36

Answer:

Step-by-step explanation:

the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure

therefore

4x + 12 = 64

⇔ 4x = 64 - 12

⇔ 4x = 52

⇔ x = 52/4

⇔ x = 13

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

Learn more about quadrilaterals here:

https://brainly.com/question/29934440

#SPJ1

Answer:

x + x = 4.5 or x = 2.25 is the answer or the value of x.

Step-by-step explanation:

4x + -3 -9 +4x=6​

4x + 3 + 9 + 4x=6 + 3 + 9

4x + 4x = 18

4x/4 + 4x/4 = 18/4

x + x = 4.5

x = 2.25

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

Answer:

Gross Income = $ 43400

Adjusted Gross Income=$40500

Taxable Income = $33840

Step-by-step explanation:

given that-

Income paid to man

Wages = $41,500

Savings Interest = $1900

Tax Def Contribution=$2900

Deductions= $6660

personal exemption =$4050

Gross Income = Income paid to man = 41500 + 1900 = $ 43400

Adjusted Gross Income = Income - Tax Def Contribution =  $43400-$2900=$40500

Taxable Income = AGI - Deductions  = 40500 - 6660 = $33840

link-https://brainly.com/question/24590028

#SPJ4

The distance between the centers of the two wheels is approximately 11.86 feet.

The length of the conveyor belt is equal to the circumference of the circle formed by each wheel plus the distance between the centers of the two wheels.

Let's call the distance between the centers of the two wheels "d". The circumference of each wheel can be calculated using the formula

C = πd

Since each wheel has a diameter of 1 foot, its radius is 0.5 feet. Therefore, the circumference of each wheel is:

C = πd = π(0.5) = 1.57 feet (approx.)

The length of the conveyor belt is given as 15 feet. So we can write

2C + d = 15

Substituting the value of C, we get

2(1.57) + d = 15

3.14 + d = 15

d = 11.86 feet

Learn more about conveyor belt here

brainly.com/question/3044640

#SPJ4

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

The required volume is:

V = π/6 cubic units.

The given curve is 4x² + (y - 1)² = 1. We need to find the volume of the solid generated when this curve is rotated about the y-axis.

We can rewrite the given equation as:

4x² + y² - 2y + 1 - 1 = 0

=> 4x² + y² - 2y = 0

=> 4x² + (y - 1)² = 1²

This is the equation of a circle with center (0, 1) and radius 1. So, the required volume can be obtained by using the disk method. We consider an infinitesimally thin slice of the solid at a distance x from the y-axis. The radius of this disk is given by the perpendicular distance from the y-axis to the point (x, y) on the curve. This distance is simply x. The thickness of this disk is dy.

So, the volume of this disk is given by:

dV = πx² dy

Integrating this expression over the limits of y, we get the required volume:

V = ∫(y = 0 to y = 2) πx² dy

We can obtain the limits of integration by observing that the circle intersects the y-axis at y = 0 and y = 2. So, we need to find x in terms of y. Rearranging the equation of the circle, we get:

x = ± sqrt(1/4 - (y - 1)²)

Let's consider the positive root. When y = 0, x = 1/2. When y = 2, x = 0. So, the limits of integration are x = 0 to x = 1/2.

Hence, the required volume is:

V = ∫(y = 0 to y = 2) πx² dy= ∫(y = 0 to y = 2) π[1/4 - (y - 1)²] dy= π[1/4 * y - 1/3 * (y - 1)³] [y = 0 to y = 2]= π/12 [2³ - 0]= π/6 cubic units.

To learn more about equation of a circle visit : https://brainly.com/question/1559324

#SPJ11

Answer:

a ≤ −4 or a ≥ 8

Step-by-step explanation:

Hope This Helps!

The general solution includes both terms with c1 and c2, we cannot eliminate c1 and c2 completely. However, we have found the DE relating the second derivative and the first derivative of the given function: d²y/dt² - 2 * dy/dt = 15 * c2 * e^(-3t)Finding the differential equation (DE) whose general solution is given by y = c1 * e^(2t) + c2 * e^(-3t).

To find the DE, we will differentiate the general solution with respect to time 't' and then eliminate the constants c1 and c2.

First, find the first derivative, dy/dt:
dy/dt = 2 * c1 * e^(2t) - 3 * c2 * e^(-3t)

Next, find the second derivative, d²y/dt²:
d²y/dt² = 4 * c1 * e^(2t) + 9 * c2 * e^(-3t)

Now, we will eliminate c1 and c2. Multiply the first derivative by 2 and subtract it from the second derivative:
d²y/dt² - 2 * dy/dt = (4 * c1 * e^(2t) + 9 * c2 * e^(-3t)) - (4 * c1 * e^(2t) - 6 * c2 * e^(-3t))

Simplify the equation:
d²y/dt² - 2 * dy/dt = 15 * c2 * e^(-3t)

Since the general solution includes both terms with c1 and c2, we cannot eliminate c1 and c2 completely. However, we have found the DE relating the second derivative and the first derivative of the given function:

d²y/dt² - 2 * dy/dt = 15 * c2 * e^(-3t)

To learn more about equation visit;

brainly.com/question/29538993

#SPJ11

Answer: 4.5

Step-by-step explanation:

Use the formula provided to find the distance:

\(d=\sqrt{(x_{2}-x_{1})^{1}+(y_{2}-y_{1})^{2} } \\\\=\sqrt{(-1-3)^{2}+(-1-1)^{2}} \\\\=\sqrt{(-4)^{2}+(-2)^{2}} \\\\=\sqrt{16+4} \\\\=\sqrt{20} =4.47213595...\)

Answer:

meaning of life is life

Answer:

a common name for the off-topic section of an Internet forum and the phrase is invoked in similar ways to mean. when asked about the meaning of life, will answer "42". Several online calculators are also programmed with the Question.

Answer:

  k = p/(rs)

Step-by-step explanation:

The equation that represents p varying jointly with r and s will be ...

  p = k·r·s . . . . . . . . for some constant of variation k

__

Solving this equation for k gives ...

  k = p/(rs) . . . . . divide by the coefficient of k

She should use the pool 50 or less times because anything over 50 would equal higher than her budget.

Example: y =2(50)+100

y = 100+100

y = 200

y = 2(60)+100

y = 120+100

y = 220

Plan A equation

y = 2x + 100

Answer:

(24.5, 6.5)

Step-by-step explanation:

We can set up two equations:

x+y=31

x-y=18

Now, when we add the two equations, we get

2x=49

When we divide we get

24.5 for x.

Now we can plug this in the first equation:

24.5+y=31

minus 24.5 on both sides to get

y=6.5

Hope this helped!

~Cain

Answer:

The sum of two numbers is 31 and their difference is 18

what are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 31. In other words, x plus y equals 31 and can be written as equation A:

x + y = 31

The difference between x and y is 17. In other words, x minus y equals 17 and can be written as equation B:

x - y = 18

Now solve equation B for x to get the revised equation B:

x - y = 18

x = 17 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 31

17 + y + y = 31

17 + 2y = 31

2y = 13

y = 6

Now we know y is 6.5 .Which means that we can substitute y for 6.5 in equation A and solve for x:

x + y = 31

x + 6.5 = 31

X = 25.5

Summary: The sum of two numbers is 31 and their difference is 18. What are the two numbers? Answer: 25.5 and 6.5 as proven here:

Sum: 25.5 + 6.5 = 31

Difference: 25.5 - 6.5 = 19

When a point on a triangle is dilated, the coordinate of the vertex changes

The coordinate of the vertex after the dilation is (-1.5,4)

The given parameters are:

(x,y) = (-3,8)

k = 0.5

To calculate the coordinate of the vertex after the dilation, we make use of:

(x,y)' = k * (x,y)

So, we have:

(x,y)' = 0.5 * (-3,8)

Evaluate the product

(x,y)' = (-1.5,4)

Hence, the coordinate of the vertex after the dilation is (-1.5,4)

Read more about dilation at:

https://brainly.com/question/3457976

Function g(x) have 3 x intercepts.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The function f(x) = (x + 5)(x-3) is dilated by x to produce the function

the function g(x) = x f(x).

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size

g(x)=x(x + 5)(x-3)

=x(x²-3x+5x-15)

=x(x²+2x-15)

x=0, x=-5 and x=3

The function g(x) have 3 x intercepts.

To learn more on Graphs click:

https://brainly.com/question/17267403

#SPJ1

Answer:

1. 0,5

2. Move 5 units east

3. You need to plot checkpoint B on a graph, then you need to follow the instructions then you end up on 0,5. Which Ultimately is checkpoint C.

Hope this Helps!

The calculations below show that Z-score of 10 is –1.25; Z-score of 20 is 1.25; Z-score of 12 is –0.75; Z-score of 17 is 0.50; and Z-score of 16 is 0.25.

The following notations and formulas will be used in these calculations:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

SD = Standard deviation = Variance^0.5

Z-score = (x - Mean) / SD

Where;

n = number of values = 5

x = each value

Therefore, we have:

Mean = (10 + 20 + 12 + 17 + 16) / 5 = 15

Variance = ((10-15)^2 + (20-15)^2 + (12-15)^2 + (17-15)^2 + (16-15)^2) / (5-1) = 64 / 4 = 16

SD = Standard deviation = Variance^0.50 = 16^0.5 = 4

Z-score of 10 = (10 – 15) / 4 = –1.25

Z-score of 20 = (20 - 15) / 4 = 1.25

Z-score of 12 = (12 - 15) / 4 = –0.75

Z-score of 17 = (17 - 15) / 4 = 0.50

Z-score of 16 = (16 - 15) / 4 = 0.25

Learn more about Z-score here: https://brainly.com/question/13871342.

#SPJ1

Company A :  y=0.75x

Company B :  y=10+0.50x

x = number of bars purchased

y = cost in dollars

They ask us to calculate the number of bars that must be purchased so that the cost is the same in both companies, that is, that both y(company A) y(company B)

0.75x = 10 + 0.50x

We organize similar terms

0.75x - 0.50x = 10

0.25x = 10

x = 10/0.25

x = 40

40 bars must be purchased so that the cost is the same in both companies.

Company A: y=0.75x ---> 0.75(40) = $30

Company B: y=10+0.50x ---> 10 + 0.50(40)= $30

Correct!

The answer to your math question is: Both company A and B must buy 40 bars so that the cost of their purchase is the same in both.

Answer:

Given :principle =Rs. 1200

rate of interest =9%

time =3yrs

we know that simple interest =PTR /100

=1200*9*3/100

=Rs. 324

Amount of the farmer will receive at the end of the 3 yrs =principle + interest

=1200+324=1524/-

Answer:

A ratio is basically how much of one thing there is compared to another thing. They can be showed using a colon like "3:1" or using the word "to" like "3 to 1" or lastly, they can also be shown as a fraction "3/1".

2 examples:

2:5

4 to 3

5/6

Part A:

Coefficients: 9 and 11

Variables: a and pPart B:

There are two terms in the expression: 9a and 11p. We can identify them as separate terms because they are separated by a plus sign (+).Part C:

The term that shows the total earned from selling baskets of pears is 11p. The coefficient of 11 represents the amount earned per basket of pears, and the variable p represents the number of baskets of pears sold

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

To know more about sequence,

https://brainly.com/question/20707381

#SPJ11

7(4n-5m-2)

We will distribute 7.

28n-35m-14

Usually, if its x and y, x comes before y. And m comes before n in the alphabet. So....?

-35m+28n-14

That's your answer. Hope this helped!

The integral simplifies to ∫[0 to 4] sin(x²) dx.

To evaluate the double integral ∬dxcosyda, where the region D is bounded by y=0, y=x², and x=4, we need to set up the integral in terms of the given bounds and integrate over the region.

The region D is defined as follows:

0 ≤ y ≤ x²

0 ≤ x ≤ 4

To evaluate the integral, we can reverse the order of integration and integrate with respect to y first and then x.

∬dxcosyda = ∫∫D cos(y) dA

Integrating with respect to y first, we get:

∫[0 to 4] ∫[0 to x²] cos(y) dy dx

Integrating cos(y) with respect to y, we have:

∫[0 to 4] [sin(y)] [0 to x²] dx

Now we can evaluate this integral:

∫[0 to 4] [sin(x²) - sin(0)] dx

Since sin(0) = 0, the integral simplifies to:

∫[0 to 4] sin(x²) dx

To know more about integral:

https://brainly.com/question/31059545

#SPJ11

$3200

The profit-maximizing quantity will take place where MR = MC—or at the last possible point before marginal costs start surpassing marginal revenue. The amount of goods produced at which marginal revenue equals marginal cost, or when MR = MC, is the decision that will maximize profits for the monopoly. If the monopoly produces less, MR > MC at given production levels, and the enterprise can increase profits by increasing output.

While a company produces more, MC > MR prevails, allowing it to increase profits even when it produces less overall. Therefore:

MC = change in total cost/change in quantity

      Change in quantity = 100 at each unit

      Change in total cost at 400 units = 2760 - 1960 = 800

      MC at 400 units  = 800/100 = 8

Under perfect competition, profit maximizing condition is where;

      P = MC

      At 400 units, P = MC = 8

Implies profit maximizing quantity is 400 units.

      Total revenue = Price x Quantity = 8 x 400 = $3200

Here's another question with an answer similar to this about total revenue: brainly.com/question/13000391

#SPJ4

The collection of sample averages, known as the sampling distribution, would have an average that is equal to the average height of the entire population.

When measuring the height of each team and calculating their average, we are essentially taking samples from the population of all teams. The sampling distribution is created by repeating this process multiple times and calculating the average for each sample. According to the central limit theorem, as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution.

Therefore, the average of the sampling distribution, which represents the average height of all teams, would be equal to the average height of the entire population. The sampling distribution allows us to make inferences about the population based on the collected samples and provides a measure of the variability of the sample averages.

To know more about sampling distribution follow the link:

https://brainly.com/question/29368683

#SPJ11