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4 years ago

The data in the table represent the height of an object over

Mathematics

2 answers:

Arada [10]4 years ago

5 0

<u>Answer:</u>

The correct answer option is quadratic, because the height increases and then decreases.

<u>Step-by-step explanation:</u>

We are given the following data in the table which represents the height of an object over time:

Time (s) Height (ft)

0 5

1 50

2 70

3 48

We know that in situation where the values increase and then decreases, a quadratic model is used.

From the values given in the table, we can see that the values of height first increased and then decreased with the increase in time.

Therefore, the model used is quadratic, because the height increases and then decreases.

DENIUS [597]4 years ago

5 0

Answer:

Step-by-step explanation:

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Mis himley picked 46 tomatoes from her garden on friday. On saturday she picked 17 tomatoes. How many tomatoes did she pick?

Leya [2.2K]

46 + 17 = 63. totally tomatoes she picked

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3 years ago

Find the volume of this sphere.

hjlf

9514 1404 393

Answer:

500 cm³

Step-by-step explanation:

The diameter of the sphere is shown as 10 cm, so its radius is 5 cm. Using the given numbers in the given formula, you find the volume to be ...

V = (4/3)(3)(5 cm)³ = 4(125 cm³) = 500 cm³

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3 years ago

A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of

alisha [4.7K]

Answer:

A ) i) X control chart : upper limit = 50.475, lower limit = 49.825

ii) R control chart : upper limit = 1.191, lower limit = 0

Step-by-step explanation:

A) Finding the control limits

grand sample mean = 1253.75 / 25 = 50.15

mean range = 14.08 / 25 = 0.5632

Based on X control CHART

The upper control limit ( UCL ) =

grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475

The lower control limit (LCL)=

grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825

Based on R control charts

The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191

The lower control limit = D3 * mean range = 0 * 0.5632 = 0

B) estimate the process mean and standard deviation

estimated process mean = 50.15 = grand sample mean

standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421

note d2 is obtained from control table

6 0

3 years ago

Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago

Hello ! Can anyone help me with this ! Please and thank you

andreyandreev [35.5K]

Answer:

Thank you for being so kind! X=15

Step-by-step explanation:

each expression combined is equal to 180.

so you must put 5x+9+7x-9 and solve to get 15!

6 0

3 years ago