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1 year ago

7

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be

true?

2 answers:

Shkiper50 [21]1 year ago

7 0

Answer:

The Value Remains the Same

Step-by-step explanation:

Trust

slavikrds [6]1 year ago

6 0

Answer:

the value of a remains the same

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A rectangular floor tile is shown it dimensions are given to the nearest 0.1 metres the tile is only able to sustain maximum pre

egoroff_w [7]

Answer:

736 N

Step-by-step explanation:

The dimensions of the rectangular tile are:

Length = 2.3m

Width = 1.6m

The pressure exerted on a surface is given by the formula

$p=\frac{F}{A}$

where

p is the pressure

F is the force exerted

A is the area on which the force is exerted

In this problem, we have:

$p=200 N/m^2$ is the maximum pressure that the tile is able to sustain

A is the area of the tile, which can be calculated as the product between length and width, so:

$A=L\cdot w =(2.3)(1.6)=3.68 m^2$

Re-arranging the formula for F, we can find the maximum force that can be safely applied to the tile:

$F=pA=(200)(3.68)=736 N$

4 0

2 years ago

An accident at an oil drilling platform is causing a circular-shaped oil slick to form. The volume of the oil slick is roughly g

Basile [38]

Answer:

$V(t)=0.0112\pi t^{2}$

Step-by-step explanation:

we have

$V(r)=0.07\pi r^{2}$ -----> equation A

$r(t)=0.4t$ -----> equation B

To find out (V of r)(t) substitute equation B in equation A

$V(r(t))=V(t)$

$V(t)=0.07\pi (0.4t)^{2}$

$V(t)=0.07\pi (0.16)t^{2}$

$V(t)=0.0112\pi t^{2}$

3 0

2 years ago

Which of the following best describes the graph below?

Sonja [21]

Answer: Option A

Step-by-step explanation:

A function is one to one if every element in the range (y) has only one value in the domain (x) associated to it, while a function is many to one if some values in the range (y) have more than one element in the domain (x) associated.

In this function, we can see that the function is almost linear and always increases and it is easy to see that each value of y has only one value of x associated (because the line will always increase) the correct option is A.

8 0

2 years ago

Harrison has 30 cds in his music collection. If 40% of the cds are country and 30% are pop, how many are other types of music

Pavel [41]

Well you have to find out how many cd is 40% and 30%
30% = 30x.3=9
40% = 30x.4=16
now add 16 and 9
16+9=25 now subtract 25 from 30 and see that you have 5 cd of a different type of music to find that as a % divide 5 by 35 to get .14 I rounded it to the nearest hundreth now move the decimal over 2 spots to get 14%

8 0

2 years ago

Read 2 more answers

Mya is a performance athlete. She wants to use a function to represent the number of calories that she burns while training, whe

Lerok [7]

Answer:

The actual number of calories that Mya burned when she

trained for 30 minutes is 240.

Step-by-step explanation:

We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).

The function is:

$y=45.3e^{0.0548x}$

Where y: calories burned, and x: training time.

Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.

In the table is shown as one of the columns.

For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.

$e=y-\hat y=30-78.36=-48.36$

For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.

The predicted value for x=30 is:

$y(30)=45.3e^{0.0548*30}=45.3*5.18=234.47$

Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes:

$e=y-\hat y=y-234.47=5.53\\\\y=234.47+5.53\\\\y=240$

4 0

2 years ago