A particle moves along the x-axis so that its acceleration a(t) is given by the graph above for all values of t where 0 must be true?

Answer:

47/48

Step-by-step explanation:

hope this helps

Answer: 2.58 i think

Step-by-step explanation: add up all the numbers and divide them by how many numbers they were

For $60, you may spend four hours at Snow Play Ski Park.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Snow plays ski park costs a $35 entry fee and then $5 per hour. If you have $60

Let "x" be the hours you can play in the ski park

Since,

Addition charges = 35

Thus your total expenses to play x hours in the park = 5*x + 35

Since We have only 60$

So,

60 = 5x + 35

=> 5x = 25

=> x = 5

therefore, You can be at a snow play ski park for four hours for $60.

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Answer:

Slope = 4/3

Step-by-step explanation:

Slope= (y2-y1)/(x2-x1)

Let's say (0,1) is x2 and y2. That means (-3,-3) is x1 and y1.

(1 - -3) / (0 - -3)

(1 + 3) / (0 + 3)

4 / 3

200m - 100m + 48,250 = 50,250 - 150m

(Add or subtract common variables)

100m + 48,250 = 50,250 - 150m

(Add 150m to both sides)

250m + 48,250 = 50,250

(Subtract 48,250 to both sides)

250m = 2000

(Divide 250 to both sides to isolate m)

m = 8

Answer:

[tex](f+g) (x)=\mid 3x+5\mid+13[/tex]

Step-by-step explanation:

Operation of Functions

Given:

[tex]f(x)=\mid 3x+5\mid+6[/tex]

[tex]g(x)=7[/tex]

The sum of (f+g) (x) is:

[tex](f+g) (x)=\mid 3x+5\mid+6+7[/tex]

We cannot operate with the expression inside the absolute bars, thus:

[tex]\boxed{(f+g) (x)=\mid 3x+5\mid+13}[/tex]

Answer:

4m + 8n -4p

Step-by-step explanation:

Im pretty sure its that. Hope its right!

Answer:

A

Step-by-step explanation:

Cuz Im just right

(A) An equilateral triangle.

Therefore, Ethan is in the process of constructing (A) an equilateral triangle.

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The location of the circumference of a circle is the set of points that are equidistant from a given point

Reason:

Given information;

The distance of Rosey from Billy = 10 feet

The distance of the rest of the class from Bill = 10 feet

Required:

The shape the positions of the class formed in relation to Billy

Solution;

The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class

Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid

If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points

Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle

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Answer: D.

Step-by-step explanation: It explains the definition of random in particular with the die.

Random means in this context is

d. That in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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Answer: 16

Step-by-step explanation:

Find the mean absolute deviation of the data:

X : 92, 88, 90, 96, 84

Find the mean(m) of the data:

m = Σ(X) / n

n = number of samples

(92 + 88 + 90 + 96 + 84) / 5

m = 450 / 5

m = 90

Absolute Deviation of each value of the mean:

|x - m| :

|92 - 90| = 2

|88 - 90| = 2

|90 - 90| = 0

|96 - 90| = 6

|84 - 90| = 6

Σ|x - m| = 2 + 2 + 0 + 6 + 6 = 16

Answer:

3.2

Step-by-step explanation:

Given:

The function is

[tex]f(x)=3x^3+2x^2+x+4[/tex]

To find:

The value from the given options that is NOT a possible root of the function.

Solution:

According to rational root theorem, all possible roots are in the form of

[tex]x=\dfrac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}[/tex]

We have,

[tex]f(x)=3x^3+2x^2+x+4[/tex]

Here,

Leading coefficient = 3.

Constant term = 4

Factors of 3 are ±1, ±3.

Factors of 4 are ±1, ±2, ±4.

Using rational root theorem, all possible roots of given functions are

[tex]\pm 1,\pm 2,\pm 4,\pm \dfrac{1}{3}, \pm \dfrac{2}{3},\pm \dfrac{4}{3}[/tex]

Clearly, [tex]\dfrac{4}{3},1,2[/tex] are possible roots but [tex]\dfrac{3}{4}[/tex] is not the possible root.

Therefore, the correct option is C.

Answer:Don´t know but hope ypu find someone who knows

Step-by-step explanation:

Answer:

5½

Step-by-step explanation:

1). Convert any mixed numbers to fractions. Then your initial equation becomes: ³⁄₂·¹¹⁄₃

3). Applying the fractions formula for multiplication: [tex]\frac{3*11}{2*3}[/tex] = [tex]\frac{33}{6}[/tex] = [tex]5\frac{1}{2}[/tex]

Answer: 32 1/2 meters = 106.63 ft

Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)

Answer:

It is graph B or the second graph!

Step-by-step explanation:

Answer:

Its graph B.

Step-by-step explanation:

I just got it right on Edge.

Answer:

The practices were successful in increasing voter turnout among registered Republicans.

Step-by-step explanation:

The missing data is attached below.

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.

The hypothesis for the test can be defined as follows:

H₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. d ≤ 0.

Hₐ: The practices were successful in increasing voter turnout among registered Republicans, i.e. d > 0.

Use Excel to perform the paired t-test.

Go to Data → Data Analysis → t-Test: Paired Two Sample for Means

A dialog box will open.

Select the variables.

Set the Hypothesized mean difference as 0.

Press OK.

The output is attached below.

The test statistic value is, t = 5.409.

The degrees of freedom is, df = 9.

The p-value for he one-tailed test is, p-value = 0.00021.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.

Answer:

x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 13 = 8 x + 37

Subtract 8 x + 37 from both sides:

x^2 - 8 x - 24 = 0

Add 24 to both sides:

x^2 - 8 x = 24

Add 16 to both sides:

x^2 - 8 x + 16 = 40

Write the left hand side as a square:

(x - 4)^2 = 40

Take the square root of both sides:

x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)

Add 4 to both sides:

Answer:  x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)

Answer:

A. x>12

Step-by-step explanation:

8(6x - 7) < 5(9x - 4)

Distribute:

48x-56<45x-20

Move like-terms together:

48x-45x<-20+56

Subtract/add:

3x<36

Divide both sides by 3

x<12

Answer:

B. x< 12

Step-by-step explanation:

Answer:

31/20

Step-by-step explanation:

just cross multiply and add

(3x5 + 4x4) / 4x5

Answer: 31/20 or 1.55

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events A and B are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

[tex]P(A\cap B)=0[/tex]

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0[/tex]

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, [tex]P(A\cap B)=0[/tex].

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, [tex]P(A\cap B)=P(A)\times P(B)[/tex].

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that [tex]P(A\cap B)=0[/tex].

Now compute the value of [tex]P(A)\times P(B)[/tex] as follows:

               [tex]P(A)\times P(B)=0.30\times 0.40=0.12\neq 0[/tex]

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

Answer:

I'm pretty sure the answer is 19.425

You have to round up or down because it is money.

The answer is $19.43

Step-by-step explanation:

I really hope this is correct.

Answer:

$19.43

Step-by-step explanation:

At first you get 19.425

But money only has 2 decimal places and the 5 tells to to round the 2 up to 3

Answer:

1 1/2 or 1.5

Step-by-step explanation:

If they split 1/2 of the bar with each other

3 bars x 1/2 split bar = 1.5 or 1 1/2 of the shared amount

3 *1/2=1.5 or 1 1/2

Answer:

Explained below.

Step-by-step explanation:

The random variable X follows an exponential distribution with λ = 5.

The probability density function of X is:

[tex]f_{X}(x)=\lambda\cdot e^{-\lambda\cdot x};\ 0<x<\infty[/tex]

[tex]P(X\leq x)=1-e^{-\lambda\cdot x}\\\\P(X\geq x)=e^{-\lambda\cdot x}[/tex]

(a)

Compute the value of P (X ≤ 0) as follows:

[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]

               [tex]=1-e^{-5\times 0}\\\\=1-1\\\\=0[/tex]

Thus, the value of P (X ≤ 0) is 0.

(b)

Compute the value of P (X ≥ 2) as follows:

[tex]P(X\geq 2)=e^{-5\times 2}=4.54\times 10^{-5}\approx 0[/tex]

Thus, the value of P (X ≥ 2) is approximately 0.

(c)

Compute the value of P (X ≤ 1) as follows:

[tex]P(X\leq 0)=1-e^{-\lambda\cdot x}[/tex]

               [tex]=1-e^{-5\times 1}\\\\=1-0.00674\\\\=0.99326[/tex]

Thus, the value of P (X ≤ 1) is 0.99326.

(d)

Compute the value of P (1 ≤ X ≤ 2) as follows:

[tex]P(1<X<2)=\int\limits^{2}_{1} {5\times e^{-5x}} \, dx \\\\=5\times [\frac{e^{-5x}}{-5}]^{2}_{1} \\\\=5\times [\frac{0-0.00674}{-5}]\\\\=0.0067[/tex]

Thus, the value of P (1 ≤ X ≤ 2) is 0.0067.

(e)

Compute the value of x such that P (X < x) = 0.05 as follows:

[tex]P(X<x)=0.05\\\\\int\limits^{x}_{0} {5\times e^{-5x}} \, dx =0.05\\\\5\times [\frac{e^{-5x}}{-5}]^{x}_{0} =0.05\\\\1-e^{-5x}=0.05\\\\-e^{-5x}=0.95\\\\-5x=\ln(0.95)\\\\-5x=-0.05\\\\x=0.01\\\\[/tex]

Thus, the value of x is 0.01.

Answer:

c. D: {1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function includes values of x that are in the given table of values of the given function.

The range, on the other hand, includes all set of values of y, given in the table of values.

Thus, for the table of values above:

Domain would be [1, 2, 3, 4, 5]

Range would be [a, b, c, d, e]

The domain of the function can be represented as:

D: {1, 2, 3, 4, 5}

Answer:

Step-by-step explanation:

Thank you ☺️☺️

its answer is option B

0.001

Answer:

16 dollars per week

Step-by-step explanation:

Divide 224 by 14

Answer:

8/25

Step-by-step explanation:

Answer:

4 over 3

Step-by-step explanation:

this is beause you add the numertior and not the divend

Answer:

4/3 or 1 1/3 or 1.333 repeating

Step-by-step explanation:

Since 2/3 + 2/3 has the same denominator you can just add the top numerators together and keep the same denominator.

Answer:

5+11x= total height

x is the number of floors