The height in feet of a flying disc in t seconds is modeled by the equation h(t) = −4.5t2 + 19.6t + 3. What does the 3 in the equation represent? With explanation if possible.

Answer:

275mm = 27.5cm

1,000L = 1 kL

Hope this helps :)

275mm= 27.5cm and 1000L= 1KL

Step-by-step explanation:

For 257mm to get to 27.5cm, you have to divide the length value by 10 and so it becomes 27.5. Also for 1000L to become to 1KL you have to divide the volume value by 1000.

Answer:

d=3

Step-by-step explanation:

by using distance formula

d=√(x2-x1)²+(y2-y1)²

let the points be A(-3,2) B(0,2)

d=√(0--3)²+(2-2)²

d=√(+3)²+(0)²

d=√9

d=3

Answer:

y=-2+8

Step-by-step explanation:

The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

\(G\propto \dfrac{j^2}{m}\)

When we replace proportional sign with an equal to sign, we get

\(G=k\dfrac{j^2}{m}\), where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

\(0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5\)

Now,

\(G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5\)

hence, when j =6 and m=4, the value of G = 4.5

The value of the expression will be 8.166.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 13.41 x (5.4 divided by 9)

Now,

Solve the expression as;

⇒ 13.41 x (5.4 divided by 9)

⇒ 13.41 x (5.4 ÷ 9)

⇒ 13.41 x 0.6

⇒ 8.166

Thus, The value of the expression will be 8.166.

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Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Answer:

Step-by-step explanation:

ima a braintlest

To determine if the confidence interval contradicts the quality control manager's claim, we need more information about the confidence interval itself.

The provided statement indicates that all of the values in the confidence interval are "." which implies that the values are missing or not provided. Without knowing the specific values or the range of the confidence interval, we cannot draw a conclusion. However, based on the claim made by the quality control manager, if the lower limit of the confidence interval is less than the claimed value (less than 100% of customers experiencing interruption), then it would contradict the claim.

Conversely, if the lower limit of the confidence interval is greater than or equal to the claimed value, then it would support the claim. Without the actual values or the range of the confidence interval, we cannot determine if it contradicts the quality control manager's claim.

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Answer:

x = 2

y = 2

Step-by-step explanation:

x + 8y = 18

-5x + 3y = -4

multiply entire first equation by 5 to get

5x + 40y = 90

add second equation

5x + 40y = 90

+(-5x + 3y = -4)

----------------------------

43y = 86

y = 2

plug it in now

x + 8(2) = 18

x = 2

-5x + 3(2) = -4

x = 2

The solution of the given inequality 4(x² - 5) - (x² - 5)² > -12 is x ≥ √3 or x ≤ -√3.

The given inequality is 4(x² - 5) - (x² - 5)² > -12. In order to solve the given inequality, first, we will multiply (x² - 5)² by -1 to get rid of the squared term. Next, we will simplify the terms by using the distributive property. Then, we will collect the like terms and solve the inequality.

Multiply (x² - 5)² by -1. => -(x² - 5)² = -x⁴ + 10x² - 25

Now, the given inequality is:

4(x² - 5) - (x² - 5)² > -12

4(x² - 5) + x⁴ - 10x² + 25 > -12

Simplify the terms by using the distributive property:

4x² - 20 + x⁴ - 10x² + 25 > -12

Simplifying further:

x⁴ - 6x² + 13 > 0

Collect like terms and solve the inequality:

(x² - 3)² + 4 > 0

As the square of any number is always greater than or equal to 0, so

(x² - 3)² ≥ 0 ⇒ (x² - 3)² + 4 ≥ 4

Hence, x² - 3 ≥ 0 ⇒ x² ≥ 3 ⇒ x ≥ ±√3

Therefore, the solution of the given inequality is x ≥ √3 or x ≤ -√3.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer: D.  Parallelogram

Step-by-step explanation:

The value of j by solving with one-step equation solution method will be of the option C i.e. 2/30.

What are one-step equations?

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true.

To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are:

Addition and subtraction

Multiplication and division

The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side.

Now,

given that,

19/30=j+17/30

To find j, subtract 17/30 from both side,  (Using one-step equation method)

19/30-17/30=j+17/30-17/30

2/30=j

Hence, the value of j will be 2/30.

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Answer:

SolutioN :

\( \bf \: \star ( - 3x^{2} + 4x) + (2 {x}^{2} - x - 11)\)

\( \longrightarrow \bf \: - 3 {x}^{2} + 4x + 2 {x}^{2} - x - 11\)

\( \longrightarrow \bf \: - 3 {x}^{2} + 2 {x}^{2} + 4x - x - 11\)

\( \longrightarrow \boxed{\bf \: - {x}^{2} + 3x - 11}\)

-------------HappY Learning <3 ----------

Given expression:

\((-3x^2+4x)+(2x^2-x-11)\)

To simplify the expression, it is needed to open the parentheses.

\(\implies (-3x^2+4x)+(2x^2-x-11)\)

\(\implies -3x^2+4x+2x^2-x-11\)

To further simplify the expression, let us combine like terms.

\(\implies -3x^2+4x+2x^2-x-11\)

\(\implies x^{2} (-3 + 2)+x(4-1)-11\)

Now, simplify the expression as needed.

\(\implies x^{2} (-3 + 2)+x(4-1)-11\)

\(\implies x^{2} (-1)+x(3)-11\)

Finally, open the parentheses to get the simplified form

\(\implies x^{2} (-1)+x(3)-11\)

\(\implies \boxed{\bold{-x^{2} +3x-11}}\)

\(\text{Therefore, the simplified expression is} \ \boxed{-x^{2} +3x-11}\)

All the arithmetic progression terms can be solved by the general formula and by it we get the terms as- 1- 22, 2- 288/25, 3- 1682/27, 4- -89.

For any arithmetic progression, the abbreviation is used as a is the first term and d be the common difference which is {n-(n-1)}.

General formula to find nth term- a(n)=a(n) + (n-1)d

As, here, a=1 and d=1/2 ; implies, a(15) = 22

Similarly, here, a= -3/5 and d= {-2/5-(-3/5)} = 1/5 ; implies, a(30) = 288/25

Here, given, a(5) = 7 and d= 2/3 so by putting these values in the nth term formula we'll get, a= 21/58 ; implies, a(30) = 3364/174 or 1682/87

Here, we get the first term as, a= a+3 and a(2) = a-1 which implies d= (a-1) - (a+3) = -4 , therefore, a(24) = -89



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Answer:

$3 .5

Step-by-step explanation:

since the cost of 10 baked beans is $35

the cost of each will be 35/10 =$3.5

Answer:

see below

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4.

Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

Volume = 63 cm³

From the formula,

63 = Area of the triangular base × 6

Area of the base = \(\frac{63}{6}\)

                            = 10.5 cm²

Therefore, area of the base is 10.5 cm².

Answer:

I think it is 72%

Step-by-step explanation:

Answer:

A. 12%

Step-by-step explanation:

I counted the number of dots in all, and the number of dots in the columns 7 - 8.

This means that 3/25 of the students in the class have 7 - 8 people in their houses.

Now let's convert the fraction into a decimal, which we'll then convert into a percent.

Let's multiply the numerator and denominator of 3/25 by 4.

We get 12/100!

12/100 as a decimal is 0.12

0.12 as a percent is 12%

Is there a letter which has 12% as an option? Yes, there is! It's A.

The answer is A. 12%

Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.

Step-by-step explanation:

Let's suppose that there are a total of N pupils.

We know that N/4 walk to the cinema.

We know that N/3 get the bus to the cinema.

And the remainder is equal to 60 people.

Then:

N - N/4 - N/3 = 60

N*(1 - 1/4 - 1/3) = 60

N( 12/12 - 3/12 - 4/12) = 60

N*( 5/12) = 60

N = (12/5)*60 = 144

Then the number of pupils that walk to the cinema is N/4, or:

144/4 = 36

And the number of pupils that get the bus is N/3, or:

144/3 = 48.

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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Answer:

x ≈ 36.9°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinx = \(\frac{opposite}{hypotenuse}\) = \(\frac{6}{10}\) , then

x = \(sin^{-1}\) (\(\frac{6}{10}\) ) ≈ 36.9° ( to 1 dec. place )

The possible coordinates of point G on this number line are either -10 or 14.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

Given the following data:

E = 2.

EG = 12.

On this number line, the coordinate of EG is given by this mathematical expression:

EG = |E - G|

Substituting the given parameters into the expression, we have;

12 = |2 - G|

2 - G = ±12

G = 2 ± 12

Simplifying and evaluating the above expression, we have:

G = 2 + 12

G = 14.

OR

G = 2 - 12

G = -10

Therefore, the possible coordinates of point G on this number line are either -10 or 14.

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Complete Question:

On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G?

To find the radius of the spinner, we'll first find the total area of the spinner and then use the formula for the area of a circle. Radius is defined as the length between the center and the arc of circle.

Here are the steps:
1. Determine the proportion of the sectors that do not move the token: There are 3 such sectors (remaining sectors) out of a total of 9 sectors. So, the proportion is 3/9 = 1/3.

2. Calculate the total area of the spinner: Since 1/3 of the spinner has an area of 14.6 square inches, we can find the total area by multiplying the area of non-moving sectors by 3.
Total area = 14.6 * 3 = 43.8 square inches.

3. Use the formula for the area of a circle to find the radius: The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. We'll solve for the radius (r) in this formula:
43.8 = πr^2

4. Divide both sides of the equation by π:
r^2 = 43.8 / π

5. Calculate r:
r = √(43.8 / π)

6. Round the result to the nearest tenth of an inch:
r ≈ 3.7 inches

So, the radius of the spinner is approximately 3.7 inches.

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Given:

Required:

To find the value of F(x) when x is close to 2.

Explanation:

From the given graph, when x is close to 2 the value of F(x) is 10000.

Final Answer:

The option A is correct.

10,000

The function y= 4x -7 belong to the Linear function.

An equation is linear if it contains no powers of x besides x¹ = x and x⁰ = 1.

linear equation is called linear because it's graph form straight lines. we can describe any line by it's average rate of change, or slope, and it's y- intercept.

These aspects of a line is written in slope- intercept form, if equation of line is written in this form y = mx + b.

Here, in this given equation y= 4x -7.  This line has slope 4 and y intercept is point (0, -7).

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Answer:

A:-1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

option z < option x < option y