On Saturday, Mark sold gallons of lemonade. On the same day, Regan sold as much
lemonade as Mark. How much lemonade, in gallons, did Regan sell?

Answer:

5375 should be it

Step-by-step explanation:

Answer:

(fog)(x) means that we have the function f(x) evaluated in the function g(x), or f(g(x)).

So, if f(x) = x^3 + 1 and g(x) = x - 2.

we have:

a) (fog)(0) = f(g(0)) = (0 - 2)^3 + 1 = -8 + 1 = -7

b) (gof)(0) = g(f(0)) = (0^3 + 1) - 2 = -1

c)  (fof)(1) = f(f(1)) = (1^3 + 1)^3 + 1 = 2^3 + 1 = 8 + 1 = 9

d) (gog)(1) = g(g(1)) = (1 - 2) - 2 = -1 -2 = -3

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

We need more info to solve this problem.

Step-by-step explanation:

Answer:

          ______

x  =  − 0.  142857

Step-by-step explanation:

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

<95141404393>

Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

The option that is selected by using the pairwise comparison method will be B. Drama.

Any method of comparing entities in pairs to determine which of each entity is preferable, has a greater amount of a certain quantitative attribute, or whether the two entities are identical is known as a pairwise comparison.

By comparing two solutions at a time, the pairwise comparison technique is utilized to evaluate the smaller components.

It should be noted that from the information, we have comedy, drama, and mystery. It should be noted that drama his more preference when compared with others.

Therefore, the option that is selected by using the pairwise comparison method will be drama.

Learn more about pairwise on:

https://brainly.com/question/28105125

#SPJ1

Answer:

( - 6 , - 1 )

Step-by-step explanation:

Let's find the rule of that transformation:

1 + \(k_{x}\) = 4 ⇒ \(k_{x}\) = 3

9 + \(k_{y}\) = 10 ⇒ \(k_{y}\) = 1

Thus, the rule of given transformation is ( x + 3 , y + 1 )

So, the image of the point ( - 9 , - 2 ) is

( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )

The true statements:

A) Olivia's spinner has the highest probability of spinning purple.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Olivia and Cody both have spinners with the color purple.

Olivia determines that the probability of spinning purple on her spinner is 4 out of 12.

That means, 4/12 = 0.33

Cody determines that the probability of spinning purple on his spinner is 3 out of 10.

That means, 4/10 = 0.3

0.33 > 0.3

Therefore, Olivia's spinner has the highest probability of spinning purple.

To learn more about the probability;

brainly.com/question/11234923

#SPJ6

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

For more such questions on spinner, click on:

https://brainly.com/question/32737567

#SPJ8

Answer: 53.5 seconds

Step-by-step explanation:

Answer:

b. $16.25

...............

Answer:

4

Step-by-step explanation:

P = s+s+s+s

length = 8

8x2=16

24-16=8

8 / 2 = 4

Answer:

h = 4 cm

Step-by-step explanation:

\(2(l + h) = 24 \\ l + h = \frac{24}{2} \\ l + h = 12 \\ 8 + h = 12 \\ ..(plug \: l = 8) \\ h = 12 - 8 \\ h = 4 \: cm \\ \)

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

To learn more about rented here:

https://brainly.com/question/16489690

#SPJ1

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

Answer:

Step-by-step explanation:

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

Learn more about limit of function, visit:

https://brainly.com/question/7446469

#SPJ1

9514 1404 393

Answer:

  3/4

Step-by-step explanation:

Assuming the faces are numbered 1 to 12, there are 9 faces with values less than 10. Since the outcomes are equally probable and mutually exclusive, the probability of any of the 9 is the sum of their individual probabilities:

  P(n < 10) = 9×1/12 = 9/12 = 3/4

Answer:

y = 5x + 7

Step-by-step explanation:

(-2, -3) & (-1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - (-3)) / (-1 - (-2))

Simplify the parentheses.

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

= (5) / (1)

Simplify the fraction.

5/1

= 5

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 5x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 5(-1) + b

To find b, multiply the slope and the input of x(-1)

2 = -5 + b

Now, add 5 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 5x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -3).

y = 5x + 7

-3 = 5(-2) + 7

-3 = -10 + 7

-3 = -3

Your equation is correct.

Hope this helps!

Answer:

12.   m∠C = 100° and m∠F = 100°

13.   m∠S = 89° and m∠U = 89°

Step-by-step explanation:

Question 12

The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D

m∠B = m∠E

Therefore the third angles must be equal:
m∠C = m∠F

m∠C = (4x²)° and m∠F = (3x² + 25)°

Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5

Ignoring the negative value we get
x = 5

Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°

Since, m∠F = m∠C ,
m∠F  = 100°

But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°

Question 13

This is similar to question 12

The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT

We are given
m∠RTS = m∠TRU

m∠TRS = m∠RTU

Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT

In other words,
m∠S= m∠U

Plugging in the expressions for each of these angles we get

(5x - 11)° = (4x + 9)°

Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9

5x - 4x - 11 = 9    (subtract 4x from both sides)
x - 11 = 9

x = 11 + 9  (add 11 both sides)

x = 20

m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°

Therefore m∠RUT is also 89°

but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°

Answer:

Since the graph of the equations do not meet in any point, and will not meet in any point, the two lines are parallel and do not have any solutions.

Answer:

B: rectangle JKLM ~ rectangle QRSP

Step-by-step explanation:

5/6=0.83

12.5=0.83

JK corresponds to QR

JM corresponds to PQ

rectangle JKLM ~ rectangle QRSP

Using proportions, it is found that he bikes:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the proportion is that he bikes 9.5 miles each half hour, hence:

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

learn more about discount from

https://brainly.com/question/1548141

#SPJ1

Answer:

LCM is the least common factor the number common in both and left numbers, Therefore, HCF and LCM of numbers 24 and 36 are 12 and 72 respectively.

Step-by-Step Explanation:

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Find the prime factorization of 36

36 = 2 × 2 × 3 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3

LCM = 72

Answer:

67,43/10 = 6.743

When dividing any number by 10, you just move the decimal to the left. When multiplying, you move it to the right.

Step-by-step explanation:

Hope it helps! =D

Answer:

A because you have to mutiply 3 x 2 and it gives you 6

a. The y-intercept is equal to -8.

b. The connection between the y-intercept and the rule y = x² - 2x - 8 is that it can be determined when x is substituted with 0.

c. The x-intercepts are (-2, 0) and (4, 0).

d. The lowest point of the graph, called the vertex is (1, -9).

In Mathematics, the x-intercept is sometimes referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

Part a.

For the y-intercept of the function, we have:

y = x² - 2x - 8

y = 0² - 2(0) - 8

y = -8

Therefore, the y-intercept is (0, -8).

Part b.

We can logically deduce that the connection between the y-intercept and the function rule y = x² - 2x - 8 is that the y-intercept can be determined when the value of x is substituted with 0.

Part c.

When y = 0, the x-intercept can be determined as follows

y = x² - 2x - 8

0 = x² - 2x - 8

0 = x² + 2x - 4x - 8

0 = x(x + 2) - 4(x + 2)

0 = (x + 2)(x - 4)

Therefore, the x-intercept is (-2, 0) and (4, 0).

Part d.

In Mathematics, the vertex of a graph refers to the lowest or topmost point on a graph and it is equal to (1, -9) in this scenario;

y = x² - 2x - 8

y = 1² - 2(1) - 8

y = 1 - 10

y = -9

Read more on x-intercept here: brainly.com/question/6240745

#SPJ1