3−(−1)+(−1)−33, minus, left parenthesis, minus, 1, right parenthesis, plus, left parenthesis, minus, 1, right parenthesis, minus, 3

Answer:

x = 90  (Alternate exterior angles)

Step-by-step explanation:

Given that,

Lines m and n are parallel.

We need to find the value of x.

Here, (180-x) will be equal to x as the alternate exterior angles are equal. So,

(180-x) = x

180 = 2x

x = 90

So, the value of x is equal to 90°.

Adding a quadratic term to data that shows a curve in the scatterplot will provide a better fit but not affect the residual plot in any way, this statement is false

A scatterplot is a type of data display that shows the relationship between two numerical variables. Each member of the dataset gets plotted as a point whose x-y coordinates relates to its values for the two variables.

When on adding a quadratic term to  data, is illustrated on a scatter plot, a quadratic equation will form a “U” shape that is either concave down or concave up.

Therefore, adding a quadratic term to data that shows a curve in the scatterplot will provide a better fit but not affect the residual plot in any way, this statement is false.

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Answer:

"In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects"

-google

hope that helped lol

Answer:

x=1

Step-by-step explanation:

Its x=1 because if we put the 1 as in x then it will be like 2(1)+3(4(1)-3)= 8-3(1)

2(1)+3(4(1)-3) is equal to 5

8-3(1) is equal to 5

5=5

so x is 1

Answer:

x=1

Step-by-step explanation:

The resulting vector, known as the resultant vector, is the vector that starts from the origin and ends at the head of the second vector.

For constructing a vector using the rule for addition, we need to follow the following steps:

1. Identifying the magnitudes and directions of the vectors involved.
2. Placing the tail of the first vector at the origin (0,0) of a coordinate system.
3. Using the magnitude of the first vector to draw an arrow in the direction indicated.
4. Placing the tail of the second vector at the head of the first vector.
5. Using the magnitude and direction of the second vector to draw an arrow starting from the head of the first vector.

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The coordinates of the vertices of the image include the following:

W' = (5, -2).

X' = (7, -4).

Y' = (3, -5).

In this exercise, we would have to dilate the coordinates of the pre-image (triangle WXY) by using a scale factor of 1/3 centered at the point (4, -1) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate W, we have;

Coordinate W = (7, -4)  →  (1/3(7 - 4) + 4, 1/3(-4 - (-1)) + (-1))

Coordinate W = (2, 4)  →  (1/3(3) + 4, 1/3(-3) - 1)

Coordinate W' = (5, -2).

For coordinate X, we have;

Coordinate X = (13, -10)  →  (1/3(13 - 4) + 4, 1/3(-10 - (-1)) + (-1))

Coordinate X = (2, 4)  →  (1/3(9) + 4, 1/3(-9) - 1)

Coordinate X' = (7, -4).

For coordinate Y, we have;

Coordinate Y = (1, -13)  →  (1/3(1 - 4) + 4, 1/3(-13 - (-1)) + (-1))

Coordinate Y = (2, 4)  →  (1/3(-3) + 4, 1/3(-12) - 1)

Coordinate Y' = (3, -5).

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Answer:

i think it's 3400:)

Step-by-step explanation:

15% of 4000 is 600

#1= 36

#2=81

#3= 32

#4=125

The correct option for calculating the degrees of freedom for the between-group estimate in ANOVA is: c. k - 1

Here's a step-by-step explanation:

1. ANOVA, or Analysis of Variance, is a statistical method used to compare the means of multiple groups to determine if there are significant differences between them. In this context, "k" represents the number of groups being compared, and "N" represents the total number of observations.

2. Degrees of freedom (df) are used in statistical tests to account for variability in the data. They are essentially the number of values that can vary independently in the calculation of a statistic.

3. In ANOVA, there are two types of degrees of freedom: between-group (df_between) and within-group (df_within).

4. To calculate the between-group degrees of freedom (df_between), we use the formula: df_between = k - 1. This is because there are k groups being compared, and each group contributes one degree of freedom, minus one since we are comparing the groups against each other.

5. The within-group degrees of freedom (df_within) would be calculated using the formula: df_within = N - k, which accounts for the total number of observations minus the number of groups.

In summary, to compute the degrees of freedom for the between-group estimate in ANOVA, you would use the formula df_between = k - 1.

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Step-by-step explanation: 5.6+3.7=8.13-13=0

The solutions to the equation |w| + 10 = 17 are w = 7 and w = -7.

To solve the equation |w| + 10 = 17, we can isolate the absolute value term on one side of the equation.

1. Subtract 10 from both sides of the equation:

  |w| + 10 - 10 = 17 - 10

  |w| = 7

2. Since |w| represents the absolute value of w, we know that the expression inside the absolute value bars can be either positive or negative. Therefore, we need to consider two cases:

  Case 1: w is positive:

  In this case, |w| is equal to w.

  So we have:

  w = 7

  Case 2: w is negative:

  In this case, |w| is equal to -w (since we want the absolute value to be positive).

  So we have:

  -w = 7

3. Solve for w in each case:

  Case 1: w = 7

  Case 2: -w = 7

  For Case 2, multiply both sides of the equation by -1 to isolate w:

  -w * -1 = 7 * -1

  w = -7

Therefore, the solutions to the equation |w| + 10 = 17 are w = 7 and w = -7.

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Solve w. |w|+10=17.

A) The probability of all hip surgeries being completed first given that all knee surgeries are last is 0,

It is because all knee surgeries must be completed last for the probability to be nonzero.

B) The probability of the schedule beginning with a hip surgery given that all knee surgeries are last is 4/12,

It is because there are 4 hip surgeries and 12 total surgeries.

C) The probability of the first and last surgeries being hip surgeries given that knee surgeries are scheduled in time periods 2 through 4 is 3/12,

It is because there are 3 hip surgeries that could be chosen for the first and lastpositions.

D) The probability of the first two surgeries being hip surgeries given that all knee surgeries are last is 6/12,

It is because since there are 6 hip surgeries that could be chosen for the first two positions.

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Answer:

AG = 18

Step-by-step explanation:

The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.

Lets make x represent AG.

So, 2/3 of x is 12

or

\(\frac{2}{3}\)x = 12

Multiply both sides by the reciprocal of \(\frac{2}{3}\) , which is \(\frac{3}{2}\).

( \(\frac{3}{2}\)) \(\frac{2}{3}\)x = 12 (\(\frac{3}{2}\))  (x is left alone, the fractions = 1 when multiplied)

x = 12 (\(\frac{3}{2}\))         ( 12 times 3 = 36, divided by 2 = 18)    

x = 18

Answer:

a)4/10

b)5/100000000000೦

c)6

_____________________________________________________

\(4+2\times (-4)+8\times (-1)\)

_____________________________________________________

\(4-2\times 4+8\times (-1)\)

\(4-2\times 4-8\)

______________________________________________________

\(4-8-8\)

______________________________________________________

\(-4-8\)

\(-12\)

I hope this helps you

:)

The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

Given the following data: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min.

Its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

The pile is 10 ft high.

To determine how fast the height of the pile is increasing, we need to differentiate the formula for the volume of a cone with respect to time.

We know that the volume of a cone is given by: \(V = (1/3)πr²h\)

We are given that the base diameter and the height of the cone are always equal, so we can write: r = (d/2)and h = d

where d is the diameter of the base of the cone.

The volume of the cone is given by: V = (1/3)π(d/2)²d

Simplifying, we get:\(V = (1/12)πd³\)

Differentiating both sides with respect to time, we get:

dV/dt = (1/4)πd² (dd/dt)

We are given that dV/dt = 30 ft³/min, and we want to find dd/dt when h = 10 ft.

Substituting V = (1/3)π(10/2)²(10)

= (1/3)π(25)(10)

= (250/3)π and d = 10,

we get:

30 = (1/4)π(10²)(dd/dt)

Simplifying, we get:

dd/dt = 12/π

The rate at which the height of the pile is increasing when it is 10 ft high is approximately 3.819 ft/min.

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Given:

given

Find;

we have to find the values of g(x) at given points of x

Answer:

4(z) = 16

Step-by-step explanation:

Product = the result of multiplication.

The same as = the equal sign.

Answer:

4z = 16

Step-by-step explanation:

The is equation is:-

4z = 16

Value of z:-

z = 16/4

z = 4

Step-by-step explanation:

The volume of each steel rod can be calculated using the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the cylinder (half the diameter), and h is the height.

In this case, the diameter is 8 cm, so the radius is 4 cm. The height is 20 cm. Therefore, the volume of each steel rod is:

V = π(4 cm)^2(20 cm) = 320π cm^3

To find out how much steel is needed to make 146 rods, we can multiply the volume of one rod by the number of rods:

Total volume = 146 rods x 320π cm^3/rod

Total volume = 46,720π cm^3

We can use a calculator to approximate the value of π to 3.14 and then calculate the total volume:

Total volume ≈ 46,720 x 3.14 cm^3

Total volume ≈ 146,748.8 cm^3

Rounding to the nearest hundredth, the company will need approximately 146,748.8 cubic centimeters of steel to make 146 rods.

Answer:

w=31, L=34

Step-by-step explanation:

x+x+(x+3)+(x+3)=130

4x+6=130

4x=124

x= 31

width = 31, length = 34 bc it is 3 cm longer

The length and width of the rectangle are 34 cm and 31 cm.

Given,

A wire 130 cm long is bent into the shape of a rectangle which is 3 cm longer than it is wide.

Find the width and length of the rectangle.

It is given by:

Perimeter = 2 ( length + width )

Area = Length x Width

Find the length of the rectangle.

Length = Width + 3 ______(1)

Since a wire of 130 cm is bent into the shape of a rectangle.

The perimeter of the rectangle = 130 cm

We have,

Perimeter = 2 ( length + width )

130 cm = 2 ( width + 3 + width )

65 = 2width + 3

65 - 3 = 2width

2width = 62

Width = 62 / 2 = 31

Putting Width = 31 in (1)

Length = Width + 3 = 31 + 3 = 34

Thus the length and width of the rectangle are 34 cm and 31 cm.

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Answer:

3. 2.5

4. $5 per candy bar

5. You mowed 6 lawns

6. 15.66 is the number

7. 13 weeks

8. 135 students came

9. 12

Step-by-step explanation:

3. 25+7= 32.

81/32= 2.5

4. 23-3= 20

20/4= 5

5. 155-35=120

120/20=6

6. 10-4 = 6

94/6=15.66

(not 100% sure about this one)

7. 200-161=39

39/3=13

8. 975-300=675

675/5=135

9. 36-12=24

36/3= 12

(not 100% sure about this one)

Bonus: Sorry I don't know

I hope I can help! Also next time do each question one by one so other people can answer and not answer all of them if they don't know one.

Tim bought a pair of running shoes marked 25% down at a price of $60

The formula to find the discount of an item on sale is

Where

Let k represent the original price

Substitute the values into the formula above

Hence, the original price, k, of the pair of Zeus running shoes is $240

a = -14

-14+28= 14

14 x 2 = 28

1/2 of -28 --> -14

This means a equals -14.

Esto significa A=-14

(sorry my spanish is not good, hope this helps)

The integral simplifies to ∫[0 to 4] sin(x²) dx.

To evaluate the double integral ∬dxcosyda, where the region D is bounded by y=0, y=x², and x=4, we need to set up the integral in terms of the given bounds and integrate over the region.

The region D is defined as follows:

0 ≤ y ≤ x²

0 ≤ x ≤ 4

To evaluate the integral, we can reverse the order of integration and integrate with respect to y first and then x.

∬dxcosyda = ∫∫D cos(y) dA

Integrating with respect to y first, we get:

∫[0 to 4] ∫[0 to x²] cos(y) dy dx

Integrating cos(y) with respect to y, we have:

∫[0 to 4] [sin(y)] [0 to x²] dx

Now we can evaluate this integral:

∫[0 to 4] [sin(x²) - sin(0)] dx

Since sin(0) = 0, the integral simplifies to:

∫[0 to 4] sin(x²) dx

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By using probability, it can be calculated that

a)  P(B U D) = \(\frac{13}{18}\)

b) P(\(A^{c} \cap C^{c}\))  = \(\frac{1}{6}\)

c)  P(B U D) is the probability that the person chosen is either under age 21 or a woman.

P(\(A^{c} \cap C^{c}\)) is the probability that the person chosen is either not aged above 21 or not a man

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

By

Number of men aged 21 and over = 5

Number of men aged under 21 = 4

Number of women aged 21 and over = 6

Number of women under 21 = 3

A = {The person is aged 21 and over}

B = {The person is under 21}

C = {The person is a male}

D= {The person is a female}
Total number of people = 5 + 4 + 6 + 3 = 18

a) P(B U D) = P(B)  + P(D) - P(B \(\cap\) D) = \(\frac{7}{18} + \frac{9}{18} - \frac{3}{18} = \frac{13}{18}\)

b) P(\(A^{c} \cap C^{c}\)) = \(P((A \cup C)^c)\) = \(1 - ( \frac{11}{18} + \frac{9}{18} - \frac{5}{18}) = \frac{3}{18} = \frac{1}{6}\)

c) P(B U D) is the probability that the person chosen is either under age 21 or a woman.

P(\(A^{c} \cap C^{c}\)) is the probability that the person chosen is either not aged above 21 or not a man

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Answer: -infinity, 3

Step-by-step explanation:

The   interval of the domain in which the function f is  positive is option D)(-infinity, 3)

The input value is the domain which gives the output function f(x).

according to the table and the option provided,

A. (-infinity, 0)

B. (0, infinity)

C. (-infinity, infinity)

D. (-infinity, 3)

option D is the answer.

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The piecewise function that represent the given graph function is f(x) =  x + 2 when  x∈ ( -∞. -5]  and f(x) =  -x - 8 when  x∈ [ -5, ∞).

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The graph is increasing in the interval (-∞, -5] and the graph is decreasing in the interval [-5, ∞).

Thus the give function is a piecewise function.

The decreasing line passes through the points (-5,-3) and (-6,-4).

The equation of line that is passes through the points (x₁, y₁) and (x₂, y₂) is  y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).

y - (-3) = [(-4 - (-3))/(-6 - (-5))](x - (-5))

y + 3 = 1(x +5 )

y = x + 2

The increasing line passes through the points (-5,-3) and (-4,-4).

The equation of line that is passes through the points (x₁, y₁) and (x₂, y₂) is  y - y₁ = [(y₂ - y₁)/(x₂ - x₁)](x - x₁).

y - (-3) = [(-4 - (-3))/(-4 - (-5))](x - (-5))

y + 3 = -1(x +5 )

y = -x - 8

The piecewise function is

f(x) =  x + 2 when  x∈ ( -∞. -5]  and f(x) =  -x - 8 when  x∈ [ -5, ∞)

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