Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition

Step-by-step explanation:

normally a simple expression in x has no natural limitations.

but for fractions we have to pay attention, because we have to avoid results like .../0, as they are undefined.

so, 4x + 1 has no limitations, but x² - 1 must never be 0.

the only "bad cases" are

x² - 1 = 0

x² = 1

x = ±1

therefore, the domain (the definition of the valid values for x) is

x € R, x <> -1 and x <> 1

the range (the definition of valid values for y) is then any value between -infinity and +infinity.

simply because around x=-1 and x=+1 the tendency goes against - and + infinity.

Answer:

Shelia is

Step-by-step explanation:

hope this helps plz mark brainlessly

The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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Answer:

1 and 2

Step-by-step explanation:

If x is 1: 2 x 1 + 7 = 2 + 7

= 9  This works.

If x is 2: 2 x 2 + 7 = 4 + 7

= 11  This works

If x is 3: 2 x 3 + 7 = 6 + 7

= 13  This does not work since 2x + 7 has to be less than 13.

If they are complementary angles

5x - 8 + 2x - 0 = 90

5x + 2x = 90 + 8

7x = 98

x = 98/7

x = 14

a) angle 1 = 5(14) - 8

= 70 - 8

= 62°

b) angle 2 = 2(14)

= 28°

Then angle 1 + angle 2 = 90°

62 + 28 = 90

90°

2) Supplementary angles

angle 1 = 6x - 19 angle 2 = 15x - 11

6x - 19 + 15x -11 = 180

6x + 15x = 180 + 19 + 11

21x = 210

x = 210/21

x = 10

angle 1 = 6(10) - 19 angle 2 = 15(10) -11

= 60 - 19 = 150 - 11

= 41° = 139°

41 + 139 = 180

180 = 180

The consumer surplus that Elijah will get based on the information is $1200.

It should be noted that consumer surplus simply means the economic measurement of the benefits that the consumer gets from market competition.

From the information, Elijah is lucky enough to get a rent-controlled apartment for $800 per month and the market rent on such an apartment is $3,000 per month.

Since Elijah herself values the apartment at $2,000 per month, the market surplus will be:

= $2000 - $800

= $1200

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Answer:

12: 21 16:28

Step-by-step explanation:

4 pounds are equal to 7 packs. 4x3=12, and 7x3=21, and so on.

Answer:

Step-by-step explanation:

Answer:

There are \(38\) chicken and \(12\) cows.

Step-by-step explanation:

Each cow has four legs, while each chicken has two.

Assume that all \(50\) animals are cows. Under this assumption, there would be \(4 \times 50 = 200\) legs in total.

For each chicken counted as a cow, this calculation would have counted \((4 - 2) = 2\) extra legs.

In total, this calculation counted \(200 - 124 = 76\) extra legs. Since every two extra legs correspond to a chicken, those \(76\) extra legs would correspond to \(76 / 2 = 38\) chickens counted as cows.

In other words, \(38\) of those \(50\) animals are chicken. There would then be \(50 - 38 = 12\) cows among those animals.

Answer:

it's either 20 or 80..

Answer:

80 shoes

Step-by-step explanation:

40×2

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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I think it is 49123.52

Step-by-step explanation:

Answer:

\(x = 0, \pi\)

Step-by-step explanation:

Question:

\(cosatanx+3tanx = 0\)

Factor tanx:

\(tanx(cosa+3) = 0\)

Split apart the equation:

\(tanx = 0\\cosa = -3\)

Solve using the unit circle:

\(x = 0, \pi\)

\(a = [NO--SOLUTION]-- [OUTSIDE--RANGE]\)

Answer:

Angle f= 66

DE=10

Step-by-step explanation:

So first I think it's an isosceles triangle to 2 sides will have the same length.

For the angle I added 90 and 24 and subtracted them from 180.

Answer:

ohhhhh and who is the jeweler

Answer:

We want to find the following probability:

\( P(X=3)\)

And using the probability mass function we got

\(P(X=3)=(3C3)(0.95)^3 (1-0.95)^{3-3}=0.857\)  

Step-by-step explanation:

Let X the random variable of interest "number of orders on time", on this case we now that:  

\(X \sim Binom(n=3, p=1-0.05=0.95)\)  

The probability mass function for the Binomial distribution is given as:  

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)  

Where (nCx) means combinatory and it's given by this formula:  

\(nCx=\frac{n!}{(n-x)! x!}\)  

We want to find the following probability:

\( P(X=3)\)

And using the probability mass function we got

\(P(X=3)=(3C3)(0.95)^3 (1-0.95)^{3-3}=0.857\)  

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}\)

Step-by-step explanation:

\( \sf{ \frac{x}{ - 4} = \frac{3}{4} }\)

Do cross multiplication

\( \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}\)

\( \dashrightarrow{ \sf{4x = - 12}}\) ( Multiplying a positive integer and negative integer gives a negative integer )

Divide both sides of the equation by 4

\( \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}\)

Calculate

\( \dashrightarrow{ \sf{x = - 3}}\)

Hope I helped!

Best regards! :D

The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

.88v or \(\frac{22}{50}\)v

Step-by-step explanation:

Answer:

Step-by-step explanation:

Link is needed

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

#1. 40

#2. y=221.5

#3 197 ft

#4. 30 min

Step-by-step explanation:

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

The circumference of the circle is 25. 12cm

The formula for calculating the circumference of a circle is expressed as;

C = 2πr

Given that;

The formula for radius is expressed as;

Radius = diameter/2

Radius = 8/2

Radius = 4cm

Substitute the values

Circumference, C = 2× 3.14 × 4

Multiply through

Circumference = 25. 12cm

Hence, the value is 25. 12cm

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Answer: 400

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

there are 3 points given

diff in y / diff in x = slope

so plug in any 2 points' Y and x and get the slope

because it's downward shaped, you  know the slope MUST be negative.

so diff in Y = 23-29 = -6

diff in X = 3-7 =2

so slope is +3

intercept is given, when x=0 y = 32

it represents what F is when it's 0C°

The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)

A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.

On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.

To justify the above answer, we state the linear equation above:


3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have

3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have

5a -3 = 5a -3

Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.

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