Find the values of m and b that make the following function differentiable. The piecewise function f of x equals x squared when x is less than or equal to three or mx plus b when x is greater than three.

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

Step-by-step explanation: To find out what grade Sally needs to earn on her fifth and last math test to achieve a 90 average, we  use the following steps:

Step 1: Add the total points Sally has received: 80 + 82 + 92 + 98 = 352.

Sally has taken 4 tests so far.

Step 2: Find the total marks required for a 90 average on 5 tests: 90 x 5 = 450.

Step 3: Find the score Sally needs to achieve on her fifth test by subtracting the points earned  from the total required points: 450 - 352 = 98.

Therefore, Sally needs to earn a grade of 98 on her 5th and last test to achieve a 90 average on all five tests this semester.

Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

\(\bold{GazingAtTheStars}\)

The volume of the image after the dilation for given scale factor are:

a. k = 1/2: V = 4 cubic units

b. k = 0.6: V = 2.4 cubic units

c. k = 1: V = 8 cubic units

d. k = 1.5: V = 12 cubic units

The ratio between comparable analyses of an object and an identification of that object is known as a scale factor in mathematics. The copy will all be larger if the scaling factor is a complete number. A fractional scaling factor means that the duplicate will be smaller.

Volume of solid: 8 cubic units

a. k = 1/2

volume of the image : 1/2 *8 = 4 cubic units

b. k = 0.6

volume of the image : 0.6*8 = 2.4  cubic units

c. k = 1

volume of the image : 1*8 = 8 cubic units

d. k = 1.5

volume of the image : 1.5*8 = 12 cubic units

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Answer:

65 but I not really to sure so A

The technique used by the researchers is systematic sampling.

The technique used by the researchers to study alcohol consumption among college students living in campus housing is known as systematic sampling.

In systematic sampling, the researchers select a starting point at random, which in this case is a randomly selected dorm room. Then, they follow a systematic pattern by knocking on every fifth door in the dormitory. This ensures that the sample is representative of the entire population of college students living in campus housing.

Using systematic sampling allows the researchers to obtain a sample that is both random and systematic, reducing bias and providing a fair representation of the population. By using this technique, the researchers can gather data on alcohol consumption among college students living in campus housing.

The researchers employed systematic sampling to study alcohol consumption among college students living in campus housing. This technique helps ensure that the sample is representative and unbiased, allowing for accurate conclusions about the entire population.

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Answer:

about 1/16th of a possiblity

Step-by-step explanation:

this was the best I could do. I hope this helped

With a speed of 6.67 ft/sec is the length of her shadow moving when she is 25 ft from the base of the pole.

Let H = the height of the pole.

h = the height of the woman.

x = the length of the woman's shadow.

s = the distance from the pole to the woman.

By similar triangles,  H/h = (s + x)/x  or  Hx = h(s + x).

Differentiating, H dx/dt = h(ds/dt + dx/dt)

15 dx/dt = 6(4+dx/dt)

15 dx/dt = 24 +6 dx/dt

15 dx/dt -6 dx/dt = 24

9 dx/dt = 24

dx/dt = 24/9 = 2.67 ft/sec for how fast her shadow was lengthening.

The speed of the length of her shadow would be this speed added to her traveling speed: 2.67 + 4 = 6.67 ft/sec.

Therefore, 6.67 ft/sec is the required answer.

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Answer:

1.5 in^3

Step-by-step explanation:

These are 6 cubes 1 side equals 1/4 so

(1/4*6) = 1.5 in^3

Answer:

3/32 OR .09375

Step-by-step explanation:

one cube equals:

V=width*length*height

V=(1/4)(1/4)(1/4)

V=1/64

we have 6 cubes and one volume of the cube is 1/64 so we mutilple

(1/64)(6)=3/32

Answer:

Step-by-step explanation:

#1 the second one is correct. 2 3/20 < 2 1/4 < 2 29/60

#2 80 seconds

#3 The second one is the correct answer

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

Angle 3 is 113°

Step-by-step explanation:

Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.

Good Luck!!

Answer:

113°

Step-by-step explanation:

6 & 2 make a 180 ° angle

180-67 = 113

113° = angle 6

angle 6 is equivalent to angle 3

The graph of the function is shown below

The range of a function is the set of all output values (Y-values).

From the graph, the graph is discontinuous on y= 0

Hence there is no output at y = 0

This implies that the range of the function is all real numbers except y = 2

That is

Answer:

The x-intercept is (2.25,0).

The y-intercept is (0,18)

a. The number of light bulbs that burn out in the next week in a room with 11 bulbs: Discrete random variable. b. The amount of snowfall in December in City A: Continuous random variable. c. The eye color of people on commercial aircraft flights: Not a random variable. d. The number of hits to a website in a day: Discrete random variable. e. The amount of rain in City B during April: Continuous random variable. f. The final answer: Discrete random variable (assuming it refers to a specific discrete value or category).

a. The number of light bulbs that burn out in the next week in a room with 11 bulbs:

This is a discrete random variable because the number of light bulbs that burn out can only take on specific whole number values (0, 1, 2, 3, ..., 11) and cannot be a fraction or continuous range.

b. The amount of snowfall in December in City A:

This is a continuous random variable because the amount of snowfall can take on any real value within a range (e.g., 0.5 inches, 1.2 inches, 3.7 inches, etc.), including fractional values.

c. The eye color of people on commercial aircraft flights:

This is not a random variable because eye color is a fixed attribute of individuals and does not involve uncertainty or probability. It is a categorical variable that describes a characteristic, but it does not follow a random distribution.

d. The number of hits to a website in a day:

This is a discrete random variable because the number of hits can only take on whole number values (0, 1, 2, 3, ...) and cannot be a fraction or continuous range.

e. The amount of rain in City B during April:

This is a continuous random variable because the amount of rain can take on any real value within a range (e.g., 0.1 inches, 1.5 inches, 2.8 inches, etc.), including fractional values.

f. The... (the question is incomplete)

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The height of the original skyscraper is 350 meters.

To find the height of the original skyscraper, we need to use the scale factor of 250.

First, we need to figure out how many times bigger the original skyscraper is compared to the model. We can do this by dividing 1 by 250:

1 / 250 = 0.004

This means that the original skyscraper is 0.004 times bigger than the model.

To find the height of the original skyscraper, we need to multiply the height of the model (1.4 meters) by the scale factor (250):

1.4 x 250 = 350 meters

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Answer:

76

Step-by-step explanation:

80-4=76

Answer:                       ✥                     ✦                       ☆                  ❃       ✻          

The florist sold 76 roses.            ✿                     ✿                 ❋              ✯      

Step-by-step explanation:

I hope it helps you!

\(*GraceRosalia*\\IAmAnAceIWillHelpYouDon'tWorry\)

The magnitude of the resultant force is approximately 57.60 pounds, and the direction is approximately -85.24 degrees (measured counterclockwise from the positive x-axis).

To find the magnitude and direction of the resultant force when the three force vectors are added together, we can use vector addition.

Convert the angles to radians.

Angle of wolf 1 = 45 degrees = π/4 radians

Angle of wolf 2 = 90 degrees = π/2 radians

Angle of wolf 3 = 230 degrees = (230/180)π radians

Resolve the forces into horizontal and vertical components.

Horizontal component of wolf 1 = 150 * cos(π/4) ≈ 106.07 pounds

Vertical component of wolf 1 = 150 * sin(π/4) ≈ 106.07 pounds

Horizontal component of wolf 2 = 200 * cos(π/2) = 0 pounds

Vertical component of wolf 2 = 200 * sin(π/2) = 200 pounds

Horizontal component of wolf 3 = 300 * cos((230/180)π) ≈ -112.36 pounds

Vertical component of wolf 3 = 300 * sin((230/180)π) ≈ -248.69 pounds

Sum the horizontal and vertical components of the forces.

Horizontal component of resultant force = 106.07 + 0 - 112.36 ≈ -6.29 pounds

Vertical component of resultant force = 106.07 + 200 - 248.69 ≈ 57.38 pounds

Find the magnitude of the resultant force using the Pythagorean theorem.

Magnitude of resultant force = √((-6.29)^2 + (57.38)^2) ≈ 57.60 pounds

Find the direction of the resultant force using the inverse tangent function.

Direction of resultant force = atan(57.38 / -6.29) ≈ -85.24 degrees

Therefore, the magnitude of the resultant force is approximately 57.60 pounds, and the direction is approximately -85.24 degrees (measured counterclockwise from the positive x-axis).

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After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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The linear correlation coefficient between the number of years of service and average monthly sales is r = 0.717, indicating that a linear relation exists between these variables.

The linear correlation coefficient, denoted as r, measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, where a value close to 1 indicates a strong positive linear relationship, a value close to -1 indicates a strong negative linear relationship, and a value close to 0 indicates a weak or no linear relationship.

In this case, the given correlation coefficient is r = 0.717, which is moderately close to 1. This indicates a positive linear relationship between the number of years of service and average monthly sales. The positive sign indicates that as the number of years of service increases, the average monthly sales tend to increase as well.

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Answer:

1. x = -4y ---> y = (-1/4)x

slope = -1/4. y-intercept = (0,0)

2. y = -2x + 4

3. y = (1/3)x - 1

Step-by-step explanation:

1. Re-write your equation so that x is on the right and y is on the left:

x = -4y ---> y = (-1/4)x

slope = -1/4. y-intercept = (0,0)

2. y-intercept = (0,4) ----> P1

x-intercrpt = (2,0) ----> P2

slope m = (y2 - y1) / (x2 - x1)

= (0 - 4)/(2 - 0)

= -2

therefore, y - y1 = mx - x1 ---> y - 4 = -2x

or y = -2x + 4

3. y-intercept = (0,-1)

x-intercept = (3,0)

m = (0 - (-1)) / (3 -0) = 1/3

y - (-1) = (1/3)x - 0 ---> y = (1/3)x - 1

The length of the line segment BD is 2x(√5-1) units.

From the given figure, OB=2x units and AB = AC/2 = 8x/2 = 4x.

Consider triangle AOB,

By using Pythagoras theorem, we get

OA²=AB²+OB²

OA²=(4x)²+(2x)²

OA²=20x²

OA=√(20x²)

OA=2x√5

BD=OD-OB

BD=OA-OB

BD=2x√5-2x

BD=2x(√5-1)

Therefore, the length of the line segment BD is 2x(√5-1) units.

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The ODE obeyed by T(t) is d²T/dt². The solutions that obey the boundary conditions X(0) = 0 and d (L) = 0 are sin (1) and sin(37).

The possible solution of the given wave equation is cos(kx) sin(kt), and the PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is

8²u 8²u dz² = Q[ + e=¹].

The given wave equation is 8²u 8² 82 dt². By the separation of variables, the wave equation can be studied, which can be denoted as u(x, t) = X(x)T(t).

Let's find out what ODE is obeyed by T(t) if (x) = −k² X(x):

We have,X(x) = −k² X(x)

Now, we will divide both sides by X(x)T(t), which gives us

1/T(t) * d²T/dt² = −k²/X(x)

The LHS is only a function of t, while the RHS is a function of x. It is a constant, so both sides must be equal to a constant, say −λ. Thus, we have

1/T(t) * d²T/dt² = −λ

Since X(x) obeys the boundary conditions X(0) = 0 and d (L) = 0, it must be proportional to sin(nπx/L) for some integer n. So, we have X (x) = Asin(nπx/L). We also know that T(t) is of the form:

T(t) = Bcos(ωt) + Csin(ωt)where ω² = λ.

Therefore, we have the ODE obeyed by T(t) as follows:

d²T/dt² + ω²T = 0

We need to tick all that are correct to obey the boundary conditions X(0) = 0 and d (L) = 0. Thus, the correct options are: sin (1) and sin(37)The possible solution of the given wave equation is cos(kx) sin(kt).

The PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is:

8²u 8²u dz² = Q[ + e=¹]

Thus, the ODE obeyed by T(t) is d²T/dt². The solutions that obey the boundary conditions X(0) = 0 and d (L) = 0 are sin (1) and sin(37). The possible solution of the given wave equation is cos(kx) sin(kt), and the PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is 8²u 8²u dz² = Q[ + e=¹].

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Answer:

2.675 or 107/40

Step-by-step explanation:

Answer:

Step-by-step explanation:

y>3x+1

y≤-2x-4

Answer:

C

Step-by-step explanation:

Try D first because it is the simplest.

Randomly, I tried 5*-59.

It gives -295. That is not correct numerically because the given y value is -471

A is numerically impossible. You can estimate it by saying 176 - 59 = something much different than - 235

B doesn't work either. -59*5 - 235 = -530 which is not the answer given.

C better work -59*5 - 176 = -471 which is correct.

We are 95% confident that the true proportion of healthy students who could correctly identify a Skittles flavor blindly lies within the interval (0.4282, 0.5848).

To find the confidence interval, we can use the formula:

CI = p ± zsqrt(p(1-p)/n)

Where:

CI: Confidence Interval

p: Proportion of students who correctly identified the flavor (sample proportion)

z: Z-score corresponding to the desired confidence level (95% confidence level corresponds to z=1.96)

n: Sample size

Plugging in the values we have:

p = 78/154 = 0.5065

z = 1.96

n = 154

CI = 0.5065 ± 1.96sqrt(0.5065(1-0.5065)/154)

CI = 0.5065 ± 0.0783

CI = (0.4282, 0.5848)

Therefore, we are 95% confident that the true proportion of healthy students who could correctly identify a Skittles flavor blindly lies within the interval (0.4282, 0.5848).

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The expression that represents the total cost after the return is 4b + 3r.

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to simplify an algebraic expression by grouping and combining similar terms is called Simplification.

Given that 6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b + 4r) – (2b + r).

The simplification of the expression of the total cost is given below.

\(6b + 4r - (2b + r)\)

\(6b + 4r - 2b -r\)

Regrouping the common terms,

\(6b-2b + 4r -r\)

\(4b + 3r\)

Therefore, the expression that represents the total cost after the return is 4b + 3r.

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Answer: B

Step-by-step explanation: reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Calculate a test grade by using a calculator to divide the top number by the bottom number.

To calculate grade average, add up all of your total scores. Then, add up all of the total points possible. Divide the sum of your total scores by the total points possible. That is your grade average.

To calculate grade percentages, you must know the score you received on the particular assignment or test. You must also know the total points possible. Divide the score you received by the total points possible. That is your grade percentage.

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Answer:

11.33 yards

Step-by-step explanation: