what is a=800 + 200t

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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Garage B is more cost-effective for any parking duration exceeding 2 hours.

When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.

Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.

However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.

On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.

However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.

Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.

However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.

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we have that

in a right triangle has a 1 : 12 ratio for the legs.

so

Verify the ratio of the legs in each triangle

triangle A ------> ratio=1/12 -----> is ok

triangle B ------> ratio=40/30=1.33 -------> 40/30 > 1/12 -----> is not ok

triangle C -----> ratio=10/120=1/12 -------> is ok

triangle D -----> ratio=1/15 -----> 1/15< 1/12 is ok

triangle E -----> ratio

Find the measure of angle

sin(angle)=2/15

angle=7.66 ------> is not ok

therefore

The exact arc length of f(x)=√2x+1 is 4.5.

The arc length is the separation between two points along a curve segment. The arc length of a function f(x) is given by the formula,

\(L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx\)

Where f'(x) is derivative of function f(x). The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc. It should be noted that the arc's length is greater than the separation of its ends along a straight line.

Finding the arc length of f(x)=√2x+1 0≤x≤4, using the formula,

First finding the derivative of function,

\(f'(x)=\frac{d(\sqrt{2x+1})}{dx} \\\\=\frac{2}{2\sqrt{2x+1}} \\\\=\frac{1}{\sqrt{2x+1}}\)

Now, putting the derivative of function f(x) in the formula of arc length L,

\(L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+(\frac{1}{\sqrt{2x+1}})^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+\frac{1}{2x+1}}}\\\\L=\int\limits^4_0 {\sqrt{\frac{2x+1+1}{2x+1}}}\\L=\int\limits^4_0 {\sqrt{\frac{1}{2x+1}}}\\\approx4.5\)

Therefore, the exact arc length of f(x)=√2x+1 is 4.5.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Answer:

Congruent

Step-by-step explanation:

I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.

If this helped, please consider giving me brainliest, it will help me a lot :)

Have a good day.

Answer:

2. 8n. 8n. 8n. 8n

Step-by-step explanation:

\(2 {(8n)}^{4} = 2. 8n. 8n. 8n. 8n\)

Equivalent expressions are expressions with equal value.

The equivalent expression of \(\mathbf{2\cdot(8n)^4}\) is \(\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}\)

The expression is given as:

\(\mathbf{2\cdot(8n)^4}\)

Apply law of indices

\(\mathbf{2\cdot(8n)^4 = 2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}\)

The above equation means that:

\(\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}\) is equivalent to \(\mathbf{2\cdot(8n)^4}\)

Hence, the correct option is (d) \(\mathbf{2\cdot(8n)\cdot(8n)\cdot(8n)\cdot(8n)}\)

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The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

To correctly model the expression -2/6 + (5/6) on a number line, we can use the following steps:

So to model the expression -2/6 + (5/6) on a number line, we start at 0 and move 1/3 to the left, to represent -2/6, and then move 5/6 to the right to represent 5/6. The final point on the number line will be at 2/3 from 0 point, which represents the value of the expression -2/6 + (5/6).

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Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

f(x) = -1/2x + 1

Step-by-step explanation:

y intercept is +1

For slope, used points on the graph (2,0) and (0,1)

m= y2-y1/x2-x1

= (1-0)/(0-2)

= -1/2

Answer:

False

Step-by-step explanation:

your welcome.

Answer:

false

Step-by-step explanation:

Answer:

Do you know the muffin man,

the muffin man, the muffin man?

Do you know the muffin man,

who lives on Drury Lane?

Yes, I know the muffin man,

the muffin man, the muffin man.

Yes, I know the muffin man,

who lives on Drury Lane.

The "Muffin Man" is actually named Frederick Thomas Linwood. He was known as England's first serial killer. He would lure children into dark alleys with muffins on strings attached to them. Once the children saw the muffin on the ground they would eventually try to grab it. As they got closer to the muffin, Linwood would drag the string closer and closer until he finally would trap them and kill them. He killed 15 children and 7 rival pastry chefs. Sorry for ruining your childhood. :>

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Answer:

Company B

Step-by-step explanation:

Company A is the best investment decision. Why? its total probability of profit and breaking even is the greatest of all the three companies. Also, its the probability of making a profit is higher than that of making a loss.

The chance that a company will not make a loss is the sum of its break-even probability and that of its profitability. This probability for all companies is given below:

The probability of Loss is highest in Company B so this is not the best option.

The probability of profit is lowest in Company C so this is not the best option. Hence, A is the best investment decision.

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\(\cfrac{2x^3}{x+5}\div \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}\)

Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

Triangle RST was dilated by a scale factor of 3 to form triangle R'S'T'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection nd dilation.

If a point A(x, y) is dilated by a scale factor k, the new point is A'(kx, ky)

Triangle RST was dilated by a scale factor of 3 to form triangle R'S'T'.

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Answer:

D

Step-by-step explanation:

For this question, we know that x represents the thousands of square feet in the stadium. We also know that the stadium is 18 thousand square feet. Therefore, the amount of thousands of square feet, or x, is 18. We can then plug 18 in for x in the equation, getting

\(C(x) = \frac{7250000}{18+60} \\= \frac{7250000}{78}\\= 92948\)

as our cost

Answer:

\(D(21) = 1.612\ ft\)

Step-by-step explanation:

The question has missing details;

\(D(t) = \frac{5.4}{1+2.9e^{-0.01t}}\)

Given that t = 21

Solve for Diameter, D

To do this, we simply substitute 21 for t in the above function

\(D(t) = \frac{5.4}{1+2.9e^{-0.01t}}\) becomes

\(D(21) = \frac{5.4}{1+2.9e^{-0.01 * 21}}\)

\(D(21) = \frac{5.4}{1+2.9e^{-0.21 }}\)

Solve for \(e^{-0.21}\)

\(D(21) = \frac{5.4}{1+2.9* 0.81058424597}\)

Simplify the denominator

\(D(21) = \frac{5.4}{1+2.35069431331}\)

\(D(21) = \frac{5.4}{3.35069431331}\)

\(D(21) = 1.61160628069\)

\(D(21) = 1.612\ ft\) (Approximated)

Hence, the diameter of the 21 year old tree is 1.612 feet

Answer:

x=-7

Step-by-step explanation:

-8x = 56

divide both sides by -8

that leaves you with x = -7

you can plug it in to check because -8 * -7 = 56

Inequality for each part be

a) x + 12 ≤ -8

b)  x - 8 > 12

c) x + 8 < 12

What do you mean by inequality?

In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size.

The notation a < b means that a is less than b.

The notation a > b means that a is greater than b.

Let the number be x

According to the question:

a) The sum of a number and 12 is at most -8.

inequality become:

x + 12 ≤ -8

b) A number increased by -8 is greater than 12

inequality become:

x + (-8) > 12

⇒ x - 8 > 12

c)  -8 less than a number is no more than 12

x - (-8) < 12

⇒ x + 8 < 12

Therefore, inequality for each part be

a) x + 12 ≤ -8

b)  x - 8 > 12

c) x + 8 < 12

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Answer:

parallel y=7x+26

perpendicular y=1/7x+32/7

Step-by-step explanation:

parallel line have the same slope

y-5=7(x-(-3))

y-5=7(x+3)

y-5=7x+21

y=7x+21+5

y=7x+26

perpendicular slope  is the opposite of the original slope of 7

y-5=-1/7(x-(-3))

y-5=-1/7(x+3)

y-5=-1/7x-3/7

y=-1/7x-3/7+5

y=-1/7x+32/7

First subtract the difference between the two:

200 - 50 = 150

Now divide that by 2:

150/2 = 75

Bills share is $75

Now add the $50 to 75 to get Ann's share:

75 + 50 = $125

Ann's share is $125

Bill's share is $75

The interval for a normal distribution (bell-shaped) where we expect approximately 95% of the distribution to fall is given by:

where μ is the mean and σ is the standard deviation of the distribution.

In this problem, we have:

Therefore, we expect approximately 95% of the distribution to fall in the interval:

Thus, the answer is: from 38 to 86 jobs submitted per day.

Answer:

26

Step-by-step explanation:

The function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x

Here the function is

f(x) = x+2

It is translated 2 units to the right

A translation defined as the movement of the graph either horizontally  or vertically. In translation the shape or the size of the graph will not change only the location of the graph changes

Then the equation will be

f(x-2) = (x-2)+2

= x-2+2

= x

Hence, the function g(x) whose graph represents the indicated transformation of the graph of the equation f(x) = x+2 translated 2 units to the right is g(x) = x

The complete question is

Write a function g(x) whose graph represents the indicated transformation of the graph of f the equation f(x)=x+2 translated 2 units to the right.

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Answer:

\(\displaystyle 5\)

Explanation:

All you do is deduct the people watching giraffes from the total number of people at the zoo:

\(\displaystyle \boxed{5} = -7 + 12\)

I am joyous to assist you at any time.

5 people’s are watching the otters …

12 people are watching the otters at the zoo. 7 people are watching the giraffes. How many more people are watching the otters ?

How many more people are watching the otters ?

→ At the zoo, 12 people are watching the otters & 7 people are watching the giraffes...

• So , you have to find how many people’s are watching otters more than the giraffes...

→ Then use , Subtraction to find How many more people are watching the otters..

\(12 - 7 = 5\)

• Therefore , 5 people’s are more peoples are watching the otters than the giraffes….