PLEASE HELP!!! find the remainder when x^4-2x^3+x^2-5x+3 is divided by x+1

a. -2

b. 8

c. 3

d. 12​

Responder:

c = 15

Explicação passo a passo:

se -3 é a solução para a expressão x² - 7x - 2c = 0, para obter c, vamos substituir x = -3 na equação (uma vez que é uma raiz)

x² - 7x - 2c = 0

(-3) ² - 7 (-3) - 2c = 0

9 + 21 - 2c = 0

30 - 2c = 0

30 = 2c

Trocar

2c = 30

c = 30/2

c = 15

Portanto, o valor de c é 15

Answer:The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

Step-by-step explanation:

Answer:

nntjntbntntbt

Step-by-step explanation:

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

12, 21, 30, 39, 48, 57, 66, 75, 84.  

Ninth term is 84.

Step-by-step explanation:

The rule for this sequence is "add 9".

So, using this rule, we can do......

12, 21, 30, 39, 48, 57, 66, 75, 84.

Remember to add 9 each time!

Best of luck :3

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

x = 19.29 - 15

x = 4.29    

The system of inequalities that best matches the graph is Option C

Step-by-step explanation:

To find the system of inequalities, we simply need to find the equation of each line.

Thus, let's find the inequality that is represented by each line.

Red Line:

First, let’s determine the slope. To do so, we can use the slope formula:

m = (y₂-y₁) / (x₂-x₁)

We can use any two points that's on the Red Line. Using (3, -2) and (6, -4) and substituting them into the slope formula yields:

m = (-4+2) / (6-3)    = -2/3

Therefore, the slope of the red line is 2.

To write the equation of the red line, we can use the slope-intercept form:

y = mx + c

Notice that our y-intercept of our red line is (0, 3). Therefore, b = 3 and we already determined that m = -2/3:

y = ((-2/3)x) + (-3)

y   = (-2/3)x -3

Now, we need to determine our sign. Notice that the shaded region is below the red line. Therefore, y is less than our equation.

And since our line is shaded, our sign will be less than or equal to. Therefore:

y ≤ (-2/3)x - 3

Blue line:

Again, let’s first find the slope. We can use the two points (3,0) and (0, -3). Hence:

m = (-3-0) / (3-0)  = -3/3  = -1

So, the slope is -1.

We can now use the slope-intercept form. Notice that our y-intercept is (0, 0). Thus, we will substitute -1 for m and 0 for b. This yields:

y = -1x + 0

y = -x

Finally, we will determine our sign. Since the shaded region is above the blue line, our y is lesser than our equation. Therefore, our equation is:

y < -x

Thus, all together, our inequalities are:

y ≤ (-2/3)x - 3

y < -x

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Considering the direction of the wind, it is found that the ground speed needs to be of 510 knots.

The ground speed, considering that the wind is flowing from Wyoming to Colorado, and the same direction as the trip, is given by:

G = Plane speed + Wind speed.

In this problem, we have that the speeds are given as follows:

Hence the ground speed is given by:

G = 400 + 110 = 510 knots.

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The time it will it take him to grade 150 papers is 32 minutes, 4 seconds

It is important to note that proportion is a method of comparison in which two expressions or equations are made equal to each other.

From the information given, we have that;

Mr. B grades a total of 12.5 papers in 2.7 minutes.

Then, for 150 papers, we would have;

If 12. 5 papers = 2.7 minutes

Then 150 papers = x

Cross multiply the values

12.5x = 2.7(150)

multiply the values

12.5x = 405

Divide the values by the coefficient of x, we get;

x = 405/12.5

x = 32 minutes, 4 seconds

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15(x+3) = 2x(12)

15x+45 = 24x

45 = 9x

x = 5

Athlete would have the best running economy Runner B: VO2 of 42 ml/kg/min at 7.5. Option B

To calculate exercise intensity in METs (metabolic equivalents), we need to know the resting metabolic rate (RMR) of an individual. Without the RMR information, we cannot determine the exercise intensity in METs for the 45-year-old male exercising at 2.26 L/min. Therefore, the exercise intensity in METs cannot be determined, and the correct answer is "Not enough information."

Regarding the question about which athlete has the best running economy, we can compare the VO2 values at the given running speeds.

Runner A: VO2 of 44 ml/kg/min at 8 mph

Runner B: VO2 of 42 ml/kg/min at 7.5 mph

Runner C: VO2 of 46 ml/kg/min at 9 mph

Running economy refers to the energy cost or oxygen consumption required to maintain a given running speed. In this case, a lower VO2 value indicates better running economy.

Comparing the given VO2 values, we can see that Runner B has the lowest VO2 of 42 ml/kg/min at 7.5 mph. This means Runner B has the best running economy among the three athletes. Option B

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Answer:

1000 : 1000 : 1500

Step-by-step explanation:

2 + 2 + 3 = 7

3500 ÷ 7 = 500

2 × 500 = 1000

2 × 500 = 1000

3 × 500 = 1500

1000 : 1000 : 1500

Answer:

1000 : 1000 : 1500

Step-by-step explanation:

you divide 3500 into 7 and find the answer = 500

then 500 x 2 = 1000,

500 x 3 = 1500

Given:

8q + 6; q = 2

Let us first define what a variable is.

A variable is a symbol, usually a letter, standing for an unknown numerical value in an expression or equation.

From our given, we can see a letter q among the terms in the expression. Therefore, the variable in this equation is q.

Now, since we are given a value of q = 2, we will substitute this to the given expression in order to find its value

Therefore, when q = 2, the value of the given expression is 22.

Greg and Jason are the people  who are legally required to file a tax return.

An amount of money that a government requires people to pay according to their income

Amanda, who can be claimed as a dependent and earned $850 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for dependents is $1,100 for 2022.

Greg, who can be claimed as a dependent and earned $12,650 last year, is required to file a tax return if his earned income (such as wages or salary) exceeds $12,400 in 2022.

However, if his earned income is less than $12,400 but he had any taxes withheld, he may want to file a tax return in order to claim a refund.

Jason, who cannot be claimed as a dependent and earned $1,500 last year, is required to file a tax return if his gross income exceeds $12,950 in 2022.

Lester, who cannot be claimed as a dependent and earned $1,000 last year, is not required to file a tax return.

The minimum income requirement for filing taxes for single taxpayers under age 65 is $12,950 for 2022.

Hence, Greg and Jason are the people  who are legally required to file a tax return.

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There are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.

We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.

To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52

Therefore, there are 52 weeks of data included in this frequency distribution.

The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.

From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:

12 + 5 + 5 + 5 + 25 = 52

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Answer:

A: (-1,5) B: (-2,-1) C: (8,-1)

The probability of rolling a 3 on a pair of standard six-sided dice is 1/36.

There is only one way to roll a 3 on a pair of standard six-sided dice: one die must show a 1, and the other die must show a 2.

The number of possible outcomes when rolling two dice is given by the number of combinations of the two dice, which is 6x6 = 36.

The number of outcomes that result in a sum of 3 is 1 (as explained above). Therefore, the probability of rolling a 3 is:

P(rolling a 3) = number of outcomes that result in a sum of 3 / total number of possible outcomes = 1/36.

So the probability of rolling a 3 on a pair of standard six-sided dice is 1/36.

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Answer:

The difference between the LCM and the GCF of 30 and 55 are that the LCM is the smallest positive integer that is divisible and the GCF is the largest positive integer that divides each of the integers.

Step-by-step explanation:

The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

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Answer:

y = 4 – x/2

Step-by-step explanation:

I got this question right on edge!

There are 27720 strings.

Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 = 531,441 ternary strings of length 12.

There are

C(12,3) = 12! / (9! 3!) = 12 * 11 * 10/ 3 * 2 = 220 possible combinations of positions for the three 0s.

Of the 9 remaining positions, there are

C(9,4) = 9! / (5! 4!)

= 9 * 8 * 7 * 6/ (4 * 3 * 2 * 1)

= 126 possible combinations of positions for the four 2s.

The remaining 5 places are, of course, occupied by the five 1s.

So there that contain exactly three 0s, five 1s, and 4 2s are 220 * 126= 27720 such strings.

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Answer:

19 km per hour

Step-by-step explanation:

divide 45.6 by 2.4, since 2.4 divided by itself is 1.

Answer:

F and B are the correct answers

The height of the tree is approximately 156.7 feet.

What is Trigonometry?

Trigonometry is the study of angles and the angular relationships of planar and three-dimensional shapes. Trigonometry is made up of trigonometric functions (also known as circle functions) such as cosecant, cosine, cotangent, secant, sine, and tangent.

The height of the tree can be calculated using trigonometry.

Let's call the height of the tree "h".

Then, using the right triangle formed by the height of the tree, the distance from the base of the tree to where Jerome is standing, and the angle between the ground and the top of the tree, we can set up the following equation:

tan(33°) = h / 90

Solving for h, we get:

h = 90 * tan(33°)

Using a calculator to find the value of tan(33°), we get:

h = 90 * 1.730

h ≈ 156.7 feet

So, The height of the tree is approximately 156.7 feet.

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Answer:

Earn $50 every month.

\(\implies y = 50x + 1000\)

This is a linear function.

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

\(\implies y = 1000(1.03)^x\)

This is an exponential function.

\(\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}\)

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

The analysis of the data to obtain the best fit line equations that model the data, indicates;

5. a. Quadratic

b. y = -0.1179·x² + 2.1124·x + 4.215

c. Please find the completed chart showing the predicted values and the  in the residuals in the following section.

6. a. A linear model may not be appropriate for the data in the residual plot

b. 4

c. 5

4. a. The exponential model of the function is; y = 100·e^(-0.124·t)

b. The weight after 8 weeks is about 37.1 grams

c. The sample will be 4 grams in about 26 weeks

5. a. The equation is; y = 22.703·x + 2.5733

b. The predicted y-value at x = 10 is; y = 229.60

c. The first time is about x ≈ 3.54

The best fit line is a line that is drawn through a set of data points in such a way that it minimizes the sum of squared errors of the data.

5. The best fit model can be obtained by plotting a scatter plot of the graph, which indicates that the best fit line resembles the shape of a parabola.

Therefore;

a. The best fit equation is; Quadratic

b. The best fit equation, obtained using technology is; y = -0.1179·x² + 2.1124·x + 4.215

The square of the correlation coefficient is; R² = 0.9584

The chart can be filled with the best fit equation as follows;

\(\begin{tabular}{ | c | c | c | c | c | }\cline{1-4}Distance (foot) & Height (foot) & Predicted Value &Residual \\ \cline{1-4}0 & 4 & 4.215 & -0.215 \\\cline{1-4}2 & 8.4 & 8.16588 & 0.23412 \\\cline{1-4}6 & 12.1 & 13.23804 & -1.13804 \\\cline{1-4}9 & 14.2 & 14.56626 & -0.36626\\\cline{1-4}12 & 13.2 & 13.77228 & -0.57228 \\\cline{1-4}13 & 10.5 & 13.03602 & -2.53602 \\\cline{1-4}15 & 9.8 & 10.8561 & -1.0561 \\\cline{1-4}\end{tabular}\)

The predicted value are obtained by plugging in the x-value into the best fit equation and the residuals is the difference between the actual value and the predicted value.

6. a. A residual plot can be used to as assessment with regards to meeting the assumptions of a linear regression model.

A residual plot that is randomly scattered about zero indicates that a linear model is appropriate for the data.

The data points in the residual plot are not expressed as being randomly scattered around zero.

The pattern that exists in the residual plot indicates that the values are positive for x-values that are either low or high, and the middle x-values have a negative residuals. Therefr;

b. The number of positive residuals = 4

c. The number of negative residuals = 5

4. The general form of the exponential model of a function, y = A × e^(-k·t)  can be used to find the function for the data as follows;

A = The initial amount = The value at 0 = 100

y = The amount of radioactive material at a given time t

e = Euler's number = 2.71828

The datapoints in the table indicates;

88.3 = 100 × e^(-k × 1)

k = -㏑(0.883) ≈ 0.124

The exponential model is therefore; y = 100 × e^(-0.124·t)

b. The weight of the sample after 8 weeks can be obtained by plugging in t = 8 in the exponential function for the weight of the radioactive substance as follows;

y = 100 × e^(-0.124 × 8) ≈ 37.1

The weight of the sample after 8 weeks is about 37.1 grams

c. When the sample is 4 grams we get;

y = 4

4 = 100 × e^(-0.124 × t)

e^(-0.124 × t)  = 4/100 = 1/25

-0.124 × t = ln(1/25) = -ln(25)

t = ln(25)/0.124 ≈ 26

t ≈ 26 weeks

Therefore; The weight will be 4 grams after approximately 26 weeks

5. A linear regression can be performed using MS Excel to obtain the equation that models the data as follows;

y = 22.703·x + 2.5733

The square of the regression coefficient is; R² = 0.9995

a. The most appropriate equation to model the data in the table is; y = 22.703·x + 2.5733

b. The y-value when x = 10 can be predicted by plugging in x = 10 into the  model equation for the data as follows;

y = 22.703 * 10 + 2.5733 ≈ 229.60

Therefore;

c. The first time the y-value is 83, can be found by setting y = 83 in the equation and solve for x as follows;

83 = 22.703·x + 2.5733

22.703·x = (83 - 2.5733)

x = (83 - 2.5733)/22.703 ≈ 3.54

Therefore, the first time the y-value is 83 is when x is approximately 3.54

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Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

the marginal distribution fₓ.₃(2,3) of x and z is approximately 0.0333 for y=1 and 0.2444 for y=2.

What is Marginal distribution?

Marginal distribution refers to the probability distribution of a subset of variables in a joint probability distribution. It is obtained by summing or integrating the joint probability distribution over the remaining variables to obtain the probabilities or probability densities of the subset of interest.

To find the marginal distribution fₓ.₃(2,3) of random variables x and z, we need to sum up the joint distribution f(x,y,z) over all possible values of y.

Given the joint distribution f(x,y,z) = (xy²z) / 180, we can calculate the marginal distribution as follows:

fₓ.₃(2,3) = Σ f(x,y,z) over all y values

Let's calculate the values for y=1 and y=2:

For y=1:

fₓ.₃(2,3) = f(2,1,3) + f(2,1,2) + f(2,1,1)

= (2 * 1² * 3) / 180 + (2 * 1² * 2) / 180 + (2 * 1² * 1) / 180

= 6 / 180 + 4 / 180 + 2 / 180

= 0.0333

For y=2:

fₓ.₃(2,3) = f(2,2,3) + f(2,2,2) + f(2,2,1)

= (2 * 2² * 3) / 180 + (2 * 2² * 2) / 180 + (2 * 2² * 1) / 180

= 24 / 180 + 16 / 180 + 8 / 180

= 0.2444

So, the marginal distribution fₓ.₃(2,3) of x and z is approximately 0.0333 for y=1 and 0.2444 for y=2.

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Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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