PLS.HELP!!!! Need answer asap

Answer:

I think a polynomial... could be wrong though....

Step-by-step explanation:

Answer:

The roots for \(f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x\) are \(x_{1} = -0.098\) and \(x_{2} = 2.166\), respectively.

Step-by-step explanation:

A root is a value of \(x\) so that \(f(x) = 0\). Let suppose that function is the consequence of the subtraction between two functions, that is:

\(f(x) = g(x) - h(x)\) (1)

If we know that \(f(x) = 0\), \(g(x) = \cos 4 x\) and \(h(x) = 4\cdot x^{2}-9\cdot x\), then we have the following identity:

\(g(x) = h(x)\)

We can estimate graphically the roots of \(f(x)\) by graphing the following system:

\(y = \cos 4x\) (2)

\(y = 4\cdot x^{2}-9\cdot x\) (3)

Where roots are the points in which functions find each other.

With the help of a graphing, we estimate two solutions:

\((x_{1}, y_{1}) = (-0.098, 0.924)\), \((x_{2}, y_{2}) = (2.166, -0.725)\)

Answer:

7, 9, 11

Step-by-step explanation:

question: Find three consecutive odd integers such that the difference of twice the second and the first is 11.

make the 3 consecutive odd intergers x, y, and z.

numbers are consective (come right after another) AND odd, meaning you would add 2 every time. therefore:

x+2=y

y+2=z

given that: "difference of twice the second and the first is 11."

difference means subtraction

second number is the variable y

first number is the variable x

2y-x=11

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

3 equations:

2y-x=11

x+2=y

y+2=z

----------solve by substitution

x+2=y

x =y-2 into 2y-x=11

2y-(y-2)=11

2y-y+2=11

y=9

second number is 9

-----

numbers are 7, 9, 11

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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The average rate of change of the function f(x) = x² + 4x - 2 over the interval [-8,3] is -1.

Given the function in the question;

f(x) = x² + 4x - 2

Interval -8 ≤ x ≤ 3

To find the average rate of change of the function f(x) = x² + 4x - 2 over the interval [-8,3],

we can use the following formula:

average rate of change =  \(\frac{f(b) - f(a)}{b - a}\)

Where a and b are the endpoints of the interval.

Substituting the values of a = -8 and b = 3 into the formula, we get:

average rate of change =  \(\frac{f(3) - f(-8)}{3 - (-8)}\)

We can now find the values of f(3) and f(-8) using the formula for f(x):

f(x) = x² + 4x - 2

f(3) = (3)² + 4(3) - 2

f(3) = 9 + 12 - 2

f(19) = 19

f(x) = x² + 4x - 2

f(-8) = (-8)² + 4(-8) - 2

f(-8) = 64 -32 - 2

f(-8) = 64 -34

f(-8) = 30

Hence:

average rate of change =  \(\frac{f(3) - f(-8)}{3 - (-8)}\)

\(=\frac{19 - 30}{3 - (-8)}\\\\=\frac{-11}{11}\\\\= -1\)

Therefore, the average rate of change is -1.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Using the concept of ratio and proportions, Shanice will need 7 gallon for 14 lawns.

Proportion is a mathematical concept that describes the relationship between two or more related quantities. It is usually expressed as a ratio or a fraction, which indicates how much of one quantity there is compared to the other. Proportions are used in many areas of mathematics and science, including statistics, geometry, and physics.

In this problem, we have to find the ratio or proportion to which she uses fuel per lawn.

2 gallons = 4 lawns

1 gallon = x lawn

x = (4 * 1) / 2

x = 4 / 2

x = 2 lawn

So, she uses 1 gallon on 2 lawns

We can set an equation of proportionality for this or go straight ahead and equate to find the number of gallons required for 14 lawns.

1 gallon = 2 lawn

x gallon = 14 lawn

x = (14 * 1) / 2

x = 7 gallon

She will need 7 gallons to work on 14 lawns.

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Answer:

Where's the picture

Step-by-step explanation:

The picture...

The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

One system of quadratic equations that has solutions of (-3, -3) and (3, -3) is:

x^2 + y^2 = 18

x + y = 0

You can check that for x = -3 and y = -3, the left-hand side of both equations is equal to the right-hand side, and the same is true for x = 3 and y = -3.

Answer:

A

Step-by-step explanation:

r=10 and the angle bln 5√3 and -5 is 330 or 11π/6

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

0.975 is P(x ≥242) with a mean of 266 and standard deviation of 12

The required value of P(x> 242) = is 0.975 for normal distribution. Option D is correct.

The normal distribution has a mean of 266 and a standard deviation of

12. What is P(x> 242) is to determine.

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

Where x is a value from the initial normal distribution, μ is the mean of the initial normal distribution, and σ is the standard deviation of the initial normal distribution. The standard normal distribution is periodically called the z distribution.

Now,
z = X - 266 /12
p(x > 242) = P [(X - 266)/12 ≥ (242 - 266)/12]
p(x > 242) = P [z ≥ -24/12]
p(x > 242) = P [z ≥ -2]
p(x > 242) = P [z ≤ 2]
p(x > 242) = 0.975  (from Z table).

Thus, the required value of P(x> 242) = is 0.975. Option D is correct.

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(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

y = -1.25x + 3

Step-by-step explanation:

To see if the coordinate pairs are on this line, plug x into the equation above.

y = -5 + 3

y = -2, so (4, -2) is on that line.

y = -1.25(8) + 3

y = -10 + 3

y = -7, so (8, -7) is also on that line.

Answer:

y = -1.25x + 3

Step-by-step explanation:

i got it right

The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

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Answer:

d i did the thing

Step-by-step explanation:

The mean is  2,071,798.33

The Median is 1,485,552

The range is 7,425,310

The standard deviation is given as 1961105.68

Mean = (Sum of all populations) / (Number of cities)

= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12

= 24,861,580 / 12

= 2,071,798.33

To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:

911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817

Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:

Median = (1,423,851 + 1,547,253) / 2

= 1,485,552

The mode isn't applicable here as no city population repeats.

The range is the highest population minus the lowest population:

Range = 8,336,817 - 911,507

= 7,425,310

Standard deviation  =  (911507- 2068548.3333333)² +  (978908 - 2068548.3333333)² + (979576  - 2068548.3333333)²  + ( 1021795 -  2068548.3333333)² +  (1343573- 2068548.3333333)²  +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)²  +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12

= 46151226311869 / 12

=  3845935525989.1

\(standard deviation = \sqrt{ 3845935525989.1}\)

=  1961105.6896529

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Answer:

this is my another account on brainly

Answer:

6

Step-by-step explanation:

4x + 3 = 1

4x =-2

x = -1/2 so 4x +8 =4(-1/2) +8=6

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Given statement: Here's the table with the values organized:
X | Y
-----
1 | 5
-3 | 2
7 | 2
6 | 3
7 | -4
5 | 9
8 | 4
1 | 7
1 | 0

This statement is False.

Because, The table provided is not a function because it does not have a clear and unique output value for each input value.

Since the X values 1 and 7 have multiple Y values, the given table is not a function.

In a function, each input value (X) must have a unique output value (y). However, in the given table, there are some input values, such as X = 7 and X = 1, that have multiple output values. For example, when X = 7, the table provides two output values, 2 and -4. Similarly, when X = 1, the table provides two output values, 5 and 0.

A function is a mathematical relationship between the input and output values, where each input value produces only one unique output value. Functions are used to represent many real-world scenarios, including calculating distances, temperatures, and profits. Therefore, it is crucial to ensure that the provided table represents a function by ensuring that each input value has a unique output value.

In conclusion, the table provided is not a function as it violates the one-to-one mapping between input and output values.

A function must have a clear and unique output value for each input value.

To determine if the given table represents a function, we need to make sure that each input (X value) corresponds to only one output (Y value).
Now let's check for any repeating X values with different Y values:
1 corresponds to both 5 and 7
7 corresponds to both 2 and -4.

False.

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Answer:

4.29  (nearest hundredth)

Step-by-step explanation:

Given data set:

To find the mean absolute deviation:

Step 1

Calculate the mean:

\(\textsf{Mean}=\dfrac{15+5+12+14+18+16+4}{7}=12\)

Step 2

Calculate the absolute deviations - how far away each data point is from the mean using positive distances.

\(\begin{array}{c|c}\vphantom{\dfrac12} \sf Data \; point & \sf Distance \; from \; mean\\\cline{1-2} \vphantom{\dfrac12} 15 & |15-12|=3\\\vphantom{\dfrac12} 5 & |5-12|=7\\\vphantom{\dfrac12} 12 & |12-12|=0\\\vphantom{\dfrac12} 14 & |14-12|=2\\\vphantom{\dfrac12} 18 & |18-12|=6\\\vphantom{\dfrac12} 16 & |16-12|=4\\\vphantom{\dfrac12} 4 & |4-12|=8\end{array}\)

Step 3

Add the absolute deviations together:

\(\implies 3+7+0+2+6+4+8=30\)

Step 4

Divide the sum of the absolute deviations by the number of data points:

\(\implies \dfrac{30}{7}=4.29\)

The equation of the line in slope - intercept form is -

y = - 5x + 77.

The equation of a straight line in slope - intercept form is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation as -

77 - y = 5x

We have the equation in the slope - intercept form as -

77 - y = 5x

y = 77 - 5x

y = - 5x + 77

Therefore, the equation of the line in slope - intercept form is -

y = - 5x + 77.

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Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D