Rex is currently taking physics as one of his electives in school. His grade at the end of the year is determined by the average of four exams, each worth 100 points. On his first test he got an 84, on his second he got a 86, and on his third an 92. What must he score on his fourth exam to get an A (90%) in the course?
A) 98
B) 90
C) 88
D) 86

Answer:

A

Step-by-step explanation:

A linear function is a straight line

b,c,d all have curves so they are not linear functions

Answer:

Step-by-step explanation: Distributing the -10 to the parentheses, we get:

-20m -10 = -50

Adding 10 to both sides:

-20m = -40

dividing both sides by -20:

m = 2

So the solution for m is 2.

Answer:

-7

Step-by-step explanation:

Distribute the -10: -20-10m=50

Add 20 to both sides: -10m=70

Divide by -10 to isolate 70

m = -7

This is a Metric conversion problem. Note that it will take 38.4 minutes to create a 2-foot by 4-foot pattern drive. See the explanation below.

There are several ways to do this. Let's use the area of the times and that of the pattern drive.

Note that the area of the 3inch by 5-inch tile =

Area of a rectangle

L x B =

3 x 5

= 15inches

Applying the same rule to the pattern drive, we have
2 x 4

= 8 foot

Note that 1 foot = 12 inches

For convenience, thus, we convert the area of the pattern drives into inches. This gives us:
8 x 12

= 96 inches

To get how many minutes it will take to create a 2 by 4-foot pattern drive, we have

Recall that it takes 6 minutes to lay a 3x5 which is 12 inches in area.
Hence,

96/15
= 6.4
6.4 x 6
= 38.4 minutes.
Hence, it will take Rachel 38.4 minutes to lay a 2 by 4-foot pattern drive given the parameters above.

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Answer:

y = 2x -12

Step-by-step explanation:

6x – 3y = 36

Subtract 6x from each side

6x-6x – 3y =-6x+ 36

-3y = -6x +36

Divide by -3

-3y/-3 = -6x/-3 +36/-3

y = 2x -12

Based on the mentioned boxplot and the informations provided, it appears that there are around 8 undergraduate statistics students who are 69 inches or taller.

A boxplot is a graphical representation of a dataset that summarizes the distribution of the data. The boxplot shows the range of the data, the median, and the quartiles (the 25th and 75th percentiles) of the data. In this specific boxplot, we can see that the upper whisker extends to about 70 inches, which means that any values above that would be considered outliers.

The box also extends up to around 68.5 inches, and since the box contains 50% of the data, we can infer that approximately half of the students are 68.5 inches or taller. Therefore, we can estimate that approximately 8 students (half of the 16 students) are 69 inches or taller.

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Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

The given function f(x) = (x^3)(x^2)(x - 1) is a polynomial function. By analyzing the factors of the function, we can determine its zeros, which are the x-values where the function equals zero.

The zeros of the function occur when any of the factors equal zero. Setting each factor to zero, we find the following zeros:

x^3 = 0  --> x = 0

x^2 = 0  --> x = 0

x - 1 = 0  --> x = 1

Therefore, the zeros of the function are x = 0 (with multiplicity 3) and x = 1.

Now, let's consider the end behavior of the graph. As x approaches negative or positive infinity, we can determine the behavior of the function.

Since the highest power of x in the function is x^3, we know that the end behavior of the graph will match that of a cubic function. If the leading coefficient is positive, the graph will rise to the left and rise to the right. If the leading coefficient is negative, the graph will fall to the left and fall to the right.

In the given function, the leading coefficient is positive (since the coefficient of x^3 is 1). Therefore, the graph of the function will rise to the left and rise to the right as x approaches negative or positive infinity.

Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

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Answer:

C.

Step-by-step explanation:

5 liters divided by 8.

5 divided by 8 = 5/8

Answer: 5/8 liter

Answer:

5.   y = -x

Step-by-step explanation:

First, you need to find the slope of the line.

\(m = \frac{2 - (-3)}{-2 - 3} = \frac{5}{-5} = -1\)

Now, using either point substitute into the point-slope form for a line:

\(y - y_{1} = m(x - x_{1} )\)

Using (-2,2) for \((x_{1} , y_{1} )\) we get y - 2 = -1(x +2)

y - 2 = -x - 2

y = -x

Answer 5 is the correct answer

Answer:

x=0,\(\frac{9}{2}\)   Decimal Form: 0, 4.5

Step-by-step explanation:

1 )Move all terms to one side.

56\(x^{2}\)-252x=0

2 )Factor out the common term 28x.

28x(2x−9)=0

3 )Solve for x

x=0,\(\frac{9}{2}\)   Decimal Form: 0, 4.5

a) To solve this problem, we can use arithmetic series. Let a₁ be the number of bricks needed for the first step, then we have: a₁ + (a₁ - 5) + (a₁ - 10) + ... = 118.

This is an arithmetic series with a common difference of -5 and a total of 17 terms. We can use the formula for the sum of an arithmetic series to get: 17/2 (2a₁ + (17-1)(-5)) = 118
17a₁ - 68 = 118
17a₁ = 186
a₁ = 11

So the number of bricks needed for each step are: 11, 6, 1, -4, -9, ..., and the total number of bricks needed for the whole staircase is: 118 + 113 + 108 + ... + 6

This is also an arithmetic series with a = 118, d = -5, and n = 17. We can use the formula again to get: 17/2 (2x118 + (17-1)(-5)) = 935, Therefore, 935 bricks are required to build the staircase.

b) The position vector of v is the vector that starts at the origin (0,0) and ends at Q (6,4). We can find this vector by subtracting the coordinates of P from Q: v = Q - P = (6-0, 4-0) = (6, 4),

Now we can write v in the form ai + bj by identifying its x and y components: v = 6i + 4j
Therefore, the position vector of v is 6i + 4j.

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The approximate change formula for a function z=f(x,y) at the point (a,b) in terms of differentials is \(dz=f_y (a,b) dx + f_x(a,b) dy\). So, option a) is correct.

In calculus, the differential represents the principal part of the change in a function y=f(x) with respect to changes in the independent variable.

Differential, in mathematics, is an expression based on the derivative of a function, useful for approximating certain values of the function.

The derivative of a function can be used to approximate certain function values with a certain degree of accuracy.

The approximate change formula for a function z=f(x,y) at the point (a,b) in terms of differentials is given by the equation \(dz=f_y (a,b) dx + f_x(a,b) dy\), where \(f_x(a,b)\) and \(f_y(a,b)\) represents the partial derivatives of the function f(x,y) with respect to x and y, respectively, evaluated at the point (a,b).

So, option a) is correct.

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Answer:

32

Step-by-step explanation:

39 = 4(x + 5) + 2x + 1

39 = 4x + 20 + 2x + 1

39 = 6x + 21

18 = 6x

x = 3

MN = 4(x + 5)

MN = 4(3 + 5)

MN = 4(8)

MN = 32

hope this helped!

Step-by-step explanation:

MP = MN + NP

39 = 4(x+5) + 2x+1

39 = 4x + 20 + 2x + 1

39 = 6x + 21

6x = 39-21

6x = 18

x = 3

Then,

MN = 4(3+5)

= 4×8

= 32

Answer:

cubic polynomial

Step-by-step explanation:

3 is highest exponent and 3 is cubic

there are more than 3 terms, so it's polynomial (poly=many)

The most appropriate statistical test to apply in this situation is an independent samples t-test. This test is used to compare the means of two independent groups on a continuous dependent variable, which in this case is the average number of correct solutions.

The study participants were randomly assigned to two different conditions, and the goal is to compare the means of the two groups (those who had a practice session and those who did not) on the dependent variable of problem-solving performance (measured by the average number of correct solutions).

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what ever is bigger So if 12 and 20 which is bigger 20

Answer:

2/5

Step-by-step explanation:

Larger the value of r² (R²) imply that the observations are more closely grouped about the least squares line (regression line) option C.

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established.

As the (R2) is large therefore, the model is a good fit or bounded close to  regression line least squares line (regression line).

In a regression graph, the regression line that is closest to the data points is shown. By changing the value of x in the regression equation, this statistical tool helps study how a dependant variable y behaves when the independent variable x changes.

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Complete question:

Larger values of r2 (R2) imply that the observations are more closely grouped about the

Group of answer choices:

The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.

For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.

For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.

In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.

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The equation of the line that passes through ( -9, 7) and (4, 7) is y = 7.

Given that

( -9, 7) and (4, 7)

Since both points have the same y-coordinate of 7, we know that they lie on a horizontal line.

Using the point-slope formula, we can find the equation of the line that passes through (-9, 7) and has a slope of 0 (since it's a horizontal line):

y - y1 = m(x - x1)

y - 7 = 0(x - (-9))

y - 7 = 0

y = 7

So the equation of the line is y = 7.

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Answer:

Her answer is not reasonable. Her average is 83.

Step-by-step explanation:

Add all of her test grades together (96+82+78+76=332)

To find the average, you need to add all test grades she got and then divide the sum by the total number of numbers added (in this case, we added 4 tests together, so we need to divide by 4)

\(\frac{332}{4} =83\)

So she added wrong and forgot to divide by the total number of tests.

Answer:

C. p = 1.72d

Step-by-step explanation:

The rate of change for the diver is 0.43. 0.43 x 4 = 1.72d.

The equation for the rate of change for the diver is 1.72d.

It is required to find the equation.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The table shows the pressure in PSI for several depths of water.

For a submarine the pressure increases at 4 times the rate of a diver.

The water pressure in square inches for a submarine=p

The depth in feet =d

So we have to find the equation

The rate of change for the diver is

0.43. 0.43 x 4

= 1.72d.

Therefore, the equation for the rate of change for the diver is 1.72d.

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Answer:

Perimeter of a rectangle = 2(L + W)

Step-by-step explanation:

L = length

W = width

In a rectangle, of the four sides, there are two equal length and 2 equal width

Length = 2 sides

Width = 2 sides

perimeter of a rectangle is the sum of the lenths of its four sides.

Perimeter of a rectangle = L + L + W + W

= 2L + 2W

Factorize

= 2(L + W)

Perimeter of a rectangle = 2(L + W)

This expression shows the relationship

Answer: 1

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

last one I hope this helps you

Step-by-step explanation:

5^6

Answer:

0.632 ; 0.233

Step-by-step explanation:

Given that :

Conversation average λ = 1/5 = 0.2

Using the poisson distribution function :

P(x) = 1 - e^(-λ/x)

p(< 5) = 1 - e^-(1/5 * 5)

P(<5) = 1 - e^-1

P(< 5) = 1 - 0.3678794

= 0.6321205

= 0.632

B.) between 5 and 10 minutes

5 < x < 10

P(x< 5) - p(x< 10)

P(< 5) = 1 - 0.3678794 = 0.6321205

P(< 10) = 1 - (e^-1/5 * 10)

P(< 10) = 1 - e^-2 = 1 - 0.1353352 = 0.8646648

P(< 10) - P(<5)

0.8646648 - 0.6321205

=0.2325443

= 0.233

P(X)= R(X) - C(X)

Substituing the functions on the P(X) functions:

P(X)=25x-(1500+10x)

P(X)=25x-1500-10x

Solving:

P(x)=15x-1500, The answer would be the third option!

Answer:

3,000$

Step-by-step explanation:

Answer:

The answer is $1000

Step-by-step explanation:

I go to K12 and got it right