Which expression is equivalent to (b"? D A. bhem ов B. bh-m O 61 C. b-m O D. bram

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer:

C

Step-by-step explanation:

hope that helps

Answer:

B

Step-by-step explanation:

a = 30    b = 16

x²/b² + y²/a² = 1

x²/16² + y²/30² = 1

x²/256 + y²/900 = 1

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

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Answer:

\(t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173\)  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

\( t_{cric}= 2.06\)

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

Step-by-step explanation:

Information given

\(\bar X_{1}=73.5\) represent the mean for sample of people who do not exercise

\(\bar X_{2}=69.3\) represent the mean for sample of people who do exercise

\(s_{1}=10.2\) represent the sample standard deviation for 1  

\(s_{2}=8.7\) represent the sample standard deviation for 2  

\(n_{1}=16\) sample size for the group 1

\(n_{2}=12\) sample size for the group 2

\(\alpha=0.01\) Significance level

t would represent the statistic

System of hypothesis

We want to verify if the mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly, the system of hypothesis would be:  

Null hypothesis:\(\mu_{1}-\mu_{2} \leq 0\)  

Alternative hypothesis:\(\mu_{1} - \mu_{2}> 0\)  

The statistic for this case would be given by:

\(t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}\) (1)  

The degrees of freedom are given by:

\(df=n_1 +n_2 -2=16+12-2=26\)  

Replacing the info given we got:

\(t=\frac{(73.5-69.3)-0}{\sqrt{\frac{10.2^2}{16}+\frac{8.7^2}{12}}}}=1.173\)  

Using the critical value method we need to find a critical value in the t distribution who accumulates 0.025 of the area on the right and we got:

\( t_{cric}= 2.06\)

So then since our calculated value is lower then the critical value we fail to reject the null hypothesis and we can't conclude that the true mean resting pulse rate of people who do not exercise regularly is larger than the mean resting pulse rate of people who exercise regularly.

Answer:

238 square feet

Step-by-step explanation:

Answer:

245 square feet.

Step-by-step explanation:

7 times 7 is 49

49 times 5 because there is 5 feet

= 245

Answer:  -5 < x < 13

Step-by-step explanation:

x represents the domain and the first statement says that all real numbers greater than -5 meaning   x has to be greater than -5.

-5 < x    

x has to be less than 13 and it will be as  x < 13.  

If you combine both inequalities you it will be   -5<x < 13 as if x is just one.

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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The equation of the transformed function is y = 1/2(x - 4)^3 + 5

The parent function is given as:

y = x^3

When the function is vertically compressed by 1/2, the rule is:

(x, y) ⇒ (x, 1/2y)

So, we have

y = 1/2x^3

When translated 4 units right, we have:

y = 1/2(x - 4)^3

When translated 5 units up, we have:

y = 1/2(x - 4)^3 + 5

Hence, the equation of the transformed function is y = 1/2(x - 4)^3 + 5

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Answer:

w=3

Step-by-step explanation:

3w=+6+3

3w=9

w=9÷3

w=3

how I get?

3×w

if 3 move to the front it's goes to ÷

so 9÷3

Answer:

It's D. I did the test and got it right.

Answer:

Hey there!

0.5(8.4)(h)=69.3

4.2h=69.3

h=16.5

Hope this helps :)

Answer:

\( \boxed{\sf Height \ of \ the \ triangle = 16.5 \ mm} \)

Given:

Area of the triangle = 69.3 mm²

Base of the triangle = 8.4 mm

To Find:

Height of the triangle

Step-by-step explanation:

\(\sf \implies Area \ of \ the \ triangle = \frac{1}{2} \times Base \times Height \\ \\ \sf \implies 69.3 = \frac{1}{2} \times 8.4 \times Height \\ \\ \sf \implies 69.3 = \frac{1}{ \cancel{2}} \times \cancel{2} \times 4.2 \times Height \\ \\ \sf \implies 69.3 = 4.2 \times Height \\ \\ \sf \implies 4.2 \times Height = 69.3 \\ \\ \sf \implies Height \times \frac{ \cancel{4.2}}{ \cancel{4.2}} = \frac{69.3}{4.2} \\ \\ \sf \implies Height = \frac{16.5 \times \cancel{4.2}}{ \cancel{4.2}} \\ \\ \sf \implies Height = 16.5 \: mm\)

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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sum of two angles of triangle are equal to the exterior angle of triangle

Answer:

Below.

Step-by-step explanation:

a + b + c = 180 degrees        (angles in a triangle)

c + d = 180 degrees              ( adjacent angles).

So, subtracting the 2 equations:

a + b + c - c - d = 0

a + b - d = 0

a + b = d.

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

Step-by-step explanation:

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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The migration matrix that has been found is

                [0.98033     0.00179

                 0.01967      0.99821 ]       by matrix method.

The 2012 populations of California and the US minus California are 38,041,430 and 275,872,610, respectively, according to the exercise statement. Let's represent these quantities by the variables c and u. What we want are two vectors m1 and m2 such that

cm 1+um 2 ​=     [ 2013 population of California

                       2013 population of US minus California ]

m1 = [ 0.98033   0.01967 ]      and    m2 = [ 0.00179   0.99821]

Now that we have the two vectors for equation ,we use the fact that a vector equation of the form

                             au + bv = w

is equivalent to a matrix equation of the form  

                              [ u  v ] [a b] = w

to get our migration matrix for this system.

[0.98033     0.00179

0.01967      0.99821 ]

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The complete question is :

In 2012 the population of California was 38,041,430, and the population living in the United States but outside California was 275,872,610. During the year, it is estimated that 748,252 persons moved from California to elsewhere in the United States, while 493,641 persons moved to California from elsewhere in the United States. Set up the migration matrix for this situation, using five decimal places for the migration rates into and out of California. Let your work show how you produced the migration matrix.

​

Answer:

2*3+5=11

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 11}}\)

Step-by-step explanation:

We are given the following function and asked to find the output if the input is 3.

\(f(x)= 2x+5\)

The input is what is plugged into the function and its variable is x. The output is the result of plugging in the input and its variable is y.

Substitute 3 in for x,

\(f(3)= 2(3)+5\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. Multiply 2 and 3.

\(f(3)= 6+5\)

Add.

\(f(3)= 11\)

If the input is 3, then the output is 11.

Step-by-step explanation:

-3r(-14r + 2r - 20)

-3r(-12r - 20)

36r² + 60r

answer is A or 36r² + 60r

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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Answer:

y=-2 is y intercept, graph opens upward like a smiley face

a=3 ,b=1, c=-2

Step-by-step explanation:

1.the graph opens upward since 3x^2 is positive

2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...

3(0)^2 + (0) -2 =y so y=-2 is y intercept

y=ax+bx+c

y=3x^2+x-2

a is represented by 3

b is 1 since x is positive

c is -2

Answer:

x=34

Step-by-step explanation:

∡PSR=∡TSU

3x+y=4x

y=x

∡PQS=180-2x

180-2x+68=180

2x=68

x=34