Fill in the common equivalents.
1.) 662/3% = ?/?

Answers

Answer 1
Answer: 3% is the same as 0.03
Therefore, 662/3% = 662/0.03

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The function p(x)=-2(x-9)^2+100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 a piece?A.)$15
B.)$28
C.)$172
D.)$244​

Answers

Answer:

C. $172

Step-by-step explanation:

You plug in $15 into the problem and solve from there.

(Will give Brainliest) Please HelppA pizza parlor makes 52 pizza crusts the first week of summer and 180 pizza crusts each subsequent week. A diner makes 26 pizza crusts the first week of summer and 90 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by the pizza parlor be twice the total number of pizza crusts made by the diner?

The total number of pizza crusts made by the pizza parlor will_______

Answers

Answer:

  • Every week

Step-by-step explanation:

Let the number of weeks be x, then equations

Pizza parlor

  • 52 + 180x

Diner

  • 26 +90x

In how many weeks will the total number of pizza crusts made by the pizza parlor be twice the total number of pizza crusts made by the diner?

  • 52 + 180x = 2(26 +90x)
  • 52 + 180x = 52 + 180x
  • 0 = 0

This results means that every week pizza parlor makes twice the number of by diner

Answer:

\large \boxed{\sf always \ be \ double  \ than \ the \ diner}

Step-by-step explanation:

Let x  represent the no. of weeks

Pizza parlor:  180x + 52

Diner:  90x  + 26

Write the equation and solve for x

180x + 52 = 2(90x  + 26)

x  = x (TRUE)

The total number of pizza crusts made by the pizza parlor will always be double than the diner.

The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?A. y=-√x+5) +2

B. y=-√x-2) +5

C. y=-√x+2) -5

D. y=-√x-5) +2

Answers

y = √(x + 5) + 2

Further explanation

Given:

The graph of y = √(x) is

  • shifted 2 units up, and
  • 5 units left.

Question:

Which equation represents the new graph?

The Process:

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

That's the vertical shift, nowthe horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:  

\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}  

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of y = √(x) is shifted 2 units up.

\boxed{y = √(x) \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = √(x) + 2 \ }}

Followed by shifting 5 units left.

\boxed{y = √(x) + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = √(x + 5) + 2 \ }}

Thus, the equation that represents the new graph is\boxed{\boxed{ \ y = √(x + 5) + 2 \ }}

The answer is A.

Learn more

  1. Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
  2. The similar problem of shifting brainly.com/question/2488474  
  3. What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation

Answer:

A. y=√(x+5)+2.

Step-by-step explanation:

We are given the function y=√(x).

Now, the function is shifted 2 units up and 5 units to the left.

That is, the function is translated 2 units up and 5 units to the left.

Since, we know,

Translation of 'k' units up changes the function f(x) to f(x)+k.

So, the function translated 2 units up is y=√(x)+2.

Translation of 'k' units to the left changes the function f(x) to f(x+k).

So, the new function translated 5 units left is y=√(x+5)+2.

Hence, the equation representing the new function is y=√(x+5)+2.

sand is falling at the rate 27 cubic feet per minute onto a conical pile whose radius is always equal to its height. how fast is the height of the pile growing when the height is exactly (a) 3 feet (b) 6 feet (c) 9 feet.

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(area of base)(height).  If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r.  Shortened, this comes out to V = (1/3)(π)(h³).  

We want to know how fast h is increasing when h = 3 ft.

Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt).  Set this derivative = to 27 ft³/min and set h = 3 ft.

Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt:  (3/π) ft/min = dh/dt when h = 3 ft.

PLEASE HELP!!! WILL GIVE CROWN!!! ​

Answers

Answer:

b; f(x)=6x-12

Step-by-step explanation:

In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that if someone is in college, that means the person is more likely to drive. Is Micah’s conclusion correct? Explain

Answers

No, Micah is not correct. Since there are equal numbers of people in each group who drive and who do not drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.

Based on the survey figures by Micah of the college students who could drive, we can infer that Michah's conclusion is not correct.

Why is Michah not correct?

Out of 60 college students surveyed, only 30 said they could drive. This means that only 50% could drive:

= 30 / 60

= 50%

A 50% relative frequency is not good enough to make the conclusion that one is more likely to drive in college. Rather it means that they are equally likely to drive or not to drive.

Find out more on relative frequency at brainly.com/question/3857836.

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