Given that the measure of ∠CBE is 135° find the measure of ∠BED. Assume that lines L and M are parallel.
A) 45°
B) 55°
C) 90°
D) 135°

COS = Adjacent / Hypotenuse

CosZ = 24/30

To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

92

Step-by-step explanation:

Answer: The second angle is 92°

Step-by-step explanation: Supplementary angles add up to 180 so subtract 88 from 180 and you get 92

Answer:

621.75

Step-by-step explanation:

Hope this helps!!!

Answer:

yes

Step-by-step explanation:

A real number is said to be rational if it's the quotient (or the ratio, and thus the name rational) of two whole numbers. For example, 0.2 is rational because 0.2=1/5; 0.4444... is rational because 0.4444... =4/9; and so on.

Answer:

50%

Step-by-step explanation:

2/3 * 0.5 = 1/3

0.5 = 50%

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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a. Decision rule: Reject the null hypothesis if the calculated z-value is less than or equal to -1.28. b. Calculated z-value: -1.8892. c. Conclusion: Reject the null hypothesis, indicating evidence that the population mean is less than 128.

To complete parts (a) through (c), we need to perform a hypothesis test for the given hypotheses

H0: μ = 128 (null hypothesis)

HA: μ ≤ 128 (alternative hypothesis)

Given: X= 119 (sample mean)

σ = 27 (population standard deviation)

n = 46 (sample size)

α = 0.10 (significance level)

a. The decision rule is to reject the null hypothesis if the calculated value of the test statistic is less than or equal to the critical value(s) of the test statistic. Since the alternative hypothesis is one-sided (μ ≤ 128), we will use a one-sample z-test and compare the calculated z-value with the critical z-value.

To find the critical z-value, we need to determine the z-value corresponding to the significance level α = 0.10. Looking up the critical value in the standard normal distribution table, we find that the critical z-value is -1.28 (rounded to two decimal places).

b. The calculated value of the test statistic, in this case, is the z-value. We can calculate the z-value using the formula

z = (X - μ) / (σ / √n)

Substituting the given values:

z = (119 - 128) / (27 / √46) ≈ -1.8892 (rounded to two decimal places)

c. The conclusion is based on comparing the calculated value of the test statistic with the critical value. Since the calculated z-value of -1.8892 is less than the critical z-value of -1.28, we have enough evidence to reject the null hypothesis. Therefore, we conclude that the population mean is less than 128.

The conclusion statement in part (c) is inconsistent with the given alternative hypothesis and should be revised accordingly.

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Answer:

The triangles are not similar

Step-by-step explanation:

We can see that TU and EU are equal in length but SU and DU are not hence they are not similar

The class width that should be used for constructing the frequency distribution is 5.

To determine the class width for constructing a frequency distribution with 5 classes, we need to calculate the range of the variable and divide it by the number of classes.

Range = Maximum value - Minimum value

= 35 - 10

= 25

Class width = Range / Number of classes

= 25 / 5

= 5

Therefore, the class width that should be used for constructing the frequency distribution is 5.

The correct answer is (a) 5.

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Answer:

it's off topic but which grade are you in

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

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X + εd is in P for all sufficiently small ε > 0, implying that d is a feasible direction at X in P.

Let x be an element of the standard form polyhedron P = {X E Rn I AX = b, X >=0}. Prove that a vector d E Rn is a feasible direction at X if and only if Ad = 0 and di >=0 for every i such that xi = O.

What is the standard form polyhedron?

The standard form polyhedron is the intersection of the half-spaces.

The form is usually represented as P = {x E Rn | Ax ≤ b}, where A is an m × n matrix, and b is an m-vector that represents the right-hand side of the inequalities.

What is a polyhedron?

A polyhedron is defined as a solid figure with flat faces, straight edges, and vertices. Its faces are polygons, and its edges are the line segments that join the faces. Its vertices are the points where the edges meet. A few examples of polyhedrons include cubes, pyramids, and prisms.

Prove that a vector d E Rn is a feasible direction at X if and only if Ad = 0 and di >=0 for every i, such that xi = O.

A vector d ∈ Rn is a feasible direction at X ∈ P if and only if there exists ε > 0 such that the points X + εd are also in P.

Let us assume Ad ≠ 0 for some vector d ∈ Rn.

This implies that there exists a row ai of A such that :

aTid < 0 and aTid ≤ aTjd for all i, j such that xi = 0 and xj = 0.

This means that if xi = 0 and we follow the direction di in P, we will eventually cross the boundary of P, and hence, d is not a feasible direction at X in P.

On the other hand,

if Ad = 0 and di ≥ 0 for all i such that xi = 0,

then it follows that aTid = 0 for all i such that xi = 0.

Let ε > 0 be given.

Then, X + εd satisfies Ax ≤ b if and only if aT(X + εd) ≤ b.

This is true if and only if aTx + εaTid ≤ b.

Since aTid = 0, we obtain

aTx ≤ b.

Hence, X + εd is in P for all sufficiently small ε > 0, implying that d is a feasible direction at X in P.

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Answer:

10

Step-by-step explanation:

Answer:

the answers is 10:))))))

Answer:

0.1

Step-by-step explanation:

Given: The spinner lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times. when it is spun 20 times.

To find: experimental probability of landing on yellow

Solution:

Probability refers to chances of occurring of some event.

Probability = number of favourable outcomes total number of outcomes

As the spinner lands on yellow 2 times,

number of favourable outcomes = 2

Total number of outcomes = 20

Probability = 2/20 = 1/10 =0.1

Algebraic, exponential and trigonometric are three different types of derivatives.

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

Power rule, product, quotient, chain, are the rules for derivatives.

Algebraic, exponential and trigonometric are three different types of derivatives.

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Answer:

Step-by-step explanation:

a because if you divide  everything under the fraction number you get answer a

The solution for the given expression is x = 4³/₅. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is x - 17⁴/₅ = -13¹/₅. The given expression will be solved as,

x - 17⁴/₅ = -13¹/₅

x = 17⁴/₅ -13¹/₅

x = 89 / 5 - 66 / 5

x = 23 / 5

x = 4³/₅

The expression will be equivalent to x = 4³/₅.

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Based on the information provided, it is most likely that Professor Anderson's focus on studying how family relationships change over time aligns with the field of developmental psychology.

Based on the given information, Professor Anderson's focus on studying how family relationships change over time and conducting longitudinal surveys with the same group of participants, it is most likely that Professor Anderson is a developmental psychologist. Developmental psychologists study human development and changes that occur across the lifespan, including familial relationships and their dynamics. They are interested in how individuals grow, change, and interact with others over time.

Developmental psychology is a branch of psychology that focuses on studying human development and changes that occur throughout a person's life span. Developmental psychologists are interested in understanding how individuals grow, change, and develop in various aspects such as physical, cognitive, emotional, and social domains.

In the given scenario, Professor Anderson's research interest revolves around tracking and surveying the same group of participants over a period of two decades to investigate the changes in their relationships with their parents and siblings. This longitudinal approach allows for the examination of how these family relationships evolve over time and provides insights into the developmental processes that influence familial dynamics.

By studying the patterns, trajectories, and factors that contribute to changes in family relationships, Professor Anderson can gain a deeper understanding of human development within the context of family dynamics. This knowledge can have implications for various aspects of individuals' lives, including their mental and emotional well-being, interpersonal relationships, and overall development.

Therefore, according to the information given, Professor Anderson's interest in researching how family connections change over time is most likely in line with the discipline of developmental psychology.

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An airship propelled by some mechanical device travels five miles in ten minutes in the direction of the wind, but requires one hour to go back again to the starting point against the same wind. How long would it have taken to go the whole ten miles in a calm day without any wind? Hint: You don't have to use equations to solve this problem.

we have that

5 miles -------> 10 minutes (direction of the wind)

5 miles ------> 1 hour (against the same wind)

therefore

10 miles ------> ? (without any wind)

so

Let

x -----> speed of the wind

y -----> speed of the airship

direction of the wind

speed=d/t ------> 5/10=0.5 miles per min

against the same wind

speed=5/60=1/12 miles per min

so

x+y=0.5 ------> x=0.5-y -----> equation 1

y-x=1/12 -----> equation 2

solve the system

substitute equation 1 in equation 2

y-(0.5-y)=1/12

2y=(1/12)+1/2

2y=7/12

y=7/24=0.2917 miles per min

Find the value of x

x=(1/2)-7/24

x=5/24=0.2083 miles per min

therefore

10 miles without any wind

speed=d/t ------> t=d/speed

t=10/(7/24)

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer: The word "symbolism" contains 9 letters. To find the number of distinguishable ways to rearrange these letters, we can use the formula for the number of permutations of n objects, which is n! (n factorial).

However, in this case, there are repeated letters, specifically "s" and "m". To account for this, we need to divide the total number of permutations by the factorials of the number of times each repeated letter appears.

The letter "s" appears twice, so we divide by 2!. Similarly, the letter "m" also appears twice, so we divide by 2!.

Therefore, the number of distinguishable ways to rearrange the letters in the word "symbolism" is:

9! / (2! × 2!) = 362,880 / 4 = 90,720

So there are 90,720 distinguishable ways to rearrange the letters in the word "symbolism".

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

you look too cute in the dp i like your face its very cute

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

\( - 2 = ( \frac{ 4}{7} ) \times 5 + c\)

\(c = -2 - \frac{20}{7} \)

\(c = \frac{-34}{7} \)

Now the required equation :-

\(y = ( \frac{ 4}{7} )x + \frac{-34}{7} \)

\(4x - 7y = 34\)

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Answer:

x = -2

y = -3

Step-by-step explanation:

5x - y = -7

x + y = -5

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -5 + 2

y = -3

Answer:

(-2,-3)

Step-by-step explanation:

x + y = -5

y = -x - 5

5x - (-x - 5) = -7

5x + x + 5 = -7

6x = -12

x = -2

x + y = -5

-2 + y = -5

y = -3

A wheel of 28 cm diameter must rotate 400 times to go 352 m.

Let 'r' represents the radius, 'd' represents the diameter of the wheel.

Here, d = 28 cm

So, r = 14 cm

Let us assume that a wheel needs to rotate 'n' number of times.

We know that the formula for the circumference of circle is 2πr

Let 's' represents the circumference of wheel.

Using above formula,

s = 2 × π × r

s = 2 × 22/7 × 14

s = 44 × 2

s = 88 cm

Now we find the value of n.

First we convert the distance 352 m in centimeters.

352 m = 35200 cm

n = 35200 / s

n = 35200/88

n = 400

Therefore, a wheel must rotate 400 times.

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Answer:

the variable x is 35

Answer:

x = 35

Step-by-step explanation:

TwT

Answer: 17 chores

Step-by-step explanation:

5x+55=140

5x=85

5x/5=85/5

x--->chores

x=17

Answer:

C. Move left

Step-by-step explanation:

By default, the equation of the parabola starts at (0,0) and you can see it clearly translates itself to the left by -3 units on the x-axis.