What is the measure of <DBE?
A.120
B.60
C.180
D.140
E.100​

Answer:

\({18}\)

Step-by-step explanation:

\( \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } \)

\( = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } \)

\( = \sqrt{9 + 9} \)

\( = \sqrt{18}\)

Answered by GAUTHMATH

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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The percent increase in the monthly cost of dance lessons over the past five years is 30%. To calculate the percent increase, we can use the following formula: Percent Increase = ((New Value - Old Value) / Old Value) * 100.

In this case, the old value is $40.00 (the cost of dance lessons five years ago) and the new value is $52.00 (the current cost of dance lessons). Plugging these values into the formula, we get ((52 - 40) / 40) * 100 = 12 / 40 * 100 = 0.3 * 100 = 30%. Therefore, the monthly cost of dance lessons has increased by 30% over the past five years.

This means that the current cost of dance lessons is 30% higher than it was five years ago. The percent increase indicates the relative change in price. In this case, the increase is positive, indicating a rise in the cost. It is essential to consider such changes when budgeting and planning for dance lessons or any other expenses.

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When Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.

To find out what part of the puzzle Kirill and Max can complete together in one hour, we need to calculate their combined work rate.

Step 1: Find the work rate of Kirill.
Kirill can complete the puzzle in 10 hours, so his work rate is 1/10 of the puzzle per hour.

Step 2: Find the work rate of Max.
Max can complete the puzzle in 12 hours, so his work rate is 1/12 of the puzzle per hour.

Step 3: Add Kirill's and Max's work rates together.
(1/10) + (1/12) = (12 + 10) / (10 * 12) = 22 / 120

Step 4: Simplify the fraction.
The simplified fraction is 11/60.

So, when Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.

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Answer:

Let the speed of the boat in still water be x mph. As, the speed of stream is 5 mph, upstream speed will be (x−5) and downstream speed will be (x+5). and time taken by boat for travelling 13 miles downstream is 13/(x+5). The speed of boat in still water be 8 mph

Step-by-step explanation:

One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.

Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.

Some key features regarding the aggregate demand curve?

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As per the triangle, the length of the other, shorter leg is 3.46 units.

We know that a is twice the length of b, so we can write:

a = 2b

We also know that c is the square root of three times b, or:

c = √3b

Now, let's say we're given the length of the longer leg, a. We can use our equation a = 2b to solve for b:

a = 2b

b = a/2

So, we know that the shorter leg is half the length of the longer leg. For example, if a is 8, then b is 4.

To double-check our answer, we can use the equation for the hypotenuse:

c = √3b

c = √3(4)

c = 2√3 = 3.46

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B

1) Gathering the data

Theresa, Brother 1, Brother 2 and her Sister

Ages: 12 15 18

Mean: 13

2) We can find out Theresa's age by applying the Arithmetic Mean formula. There are four siblings, so 4 in the denominator. Let's call Theresa's age by "t" and replace x by 13 (the mean):

3) Hence, Theresa is 7 years old.

The dimensions of the painting are 24 feet by 32 feet. Given the perimeter of the painting is 112 feet. Let the width be x feet. The length is 8 feet more than its width, therefore, the length = x + 8 feet. Perimeter of a rectangle = 2 (l + w).

Substitute x + 8 for l and x for w in the above equation : 2 (l + w)

= 2 (x + 8 + x)

= 4x + 16 feet

But given the perimeter of the painting is 112 feet4x + 16

= 112 feet

Subtract 16 from both sides of the above equation

4x = 112 - 16

= 96

Divide both sides by 4x = 24

The width of the painting is 24 feet

The length of the painting = x + 8

= 24 + 8

= 32 feet

Therefore, the dimensions of the painting are 24 feet by 32 feet.

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Answer:

Obtuse angle

Step-by-step explanation:

S and T are complementary. So, S and T are less than 90°.

T and U are supplementary. So, sum of T and U is 180°.

Since, T is less than 90°, U must be greater than 90°. Hence angle U is an obtuse angle.

Answer:

x = \(\frac{54}{91}\)

Step-by-step explanation:

Let x = the scale factor

91 x = 54  Divide both sides by 91

\(\frac{91x}{91}\) = \(\frac{54}{91}\)

x = \(\frac{54}{91}\)

Helping in the name of Jesus.

Using the calculator there are various methods according to the calculator we used and the approach we follow, Basic answer is to select N and generate random number.

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.

A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.

Define the population size (N) and the sample size (n) that you want to obtain.

Use the calculator's random number generator to generate a random number between 1 and N. This will be the first element of your sample.

Repeat step 2 to generate the remaining elements of the sample, making sure that each element is different from the previous ones.

Record the elements of the sample, which are the random numbers that have been generated.

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A gradual upward or downward movement of data over time is called a trend. A trend indicates a consistent, long-term increase or decrease in data points, showing either an upward or downward movement over time.

A trend is a pattern in data that shows a gradual change in one direction over time. It can be identified by looking at the data over a long period and observing any consistent increase or decrease in the data points. A trend can be either upward or downward, indicating either an increase or a decrease in the data points over time.

For example, if we observe the sales data of a company over several years and notice a consistent increase in the sales figures, then we can say that there is an upward trend in the sales data. On the other hand, if we observe a consistent decrease in the sales figures over several years, then we can say that there is a downward trend in the sales data.

Trends can be helpful in making predictions about the future performance of a company or any other entity. They can be used to identify potential growth or decline in the future. However, it is important to note that trends are not always indicative of future performance as other factors can come into play and affect the data.

In summary, a trend is a gradual upward or downward movement of data over time. It indicates a consistent, long-term increase or decrease in data points, showing either an upward or downward movement over time.

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ANSWER:

v = 3 is only a solution to equations 1 and 5.

STEP-BY-STEP EXPLAINATION:

Equation 1:

\( \frac{v}{3} + 9 = 10\)

\( \frac{v}{3} = 10 - 9\)

\( \frac{v}{3} = 1\)

\(v = 1(3)\)

\(v = 3\)

Therefore, v = 3 is a solution.

Equation 2:

\(4 = 7v - 24\)

\(4 + 24 = 7v\)

\(28 = 7v\)

\( \frac{28}{7} = v\)

\(4 = v\)

Therefore, v = 3 is not a solution.

Equation 3:

\(16 = 2 + 5v\)

\(16 - 2 = 5v\)

\(14 = 5v\)

\( \frac{14}{5} = v\)

Therefore, v = 3 is not a solution.

Equation 4:

\(5 - 7v = 19\)

\( - 7v = 19 - 5\)

\( - 7v = 14\)

\(v = \frac{14}{ - 7} \)

\(v = - 2\)

Therefore, v = 3 is not a solution.

Equation 5:

\(3 + 2v = 9\)

\(2v = 9 - 3\)

\(2v = 6\)

\(v = \frac{6}{2} \)

\(v = 3\)

Therefore, v = 3 is a solution.

Answer:

3xy and 7xy are like terms.

Step-by-step explanation:

Answer:

Step-by-step explanation:

it looks like there's only 2 like terms. the actual integers and then the xy variables

Answer:

79°

Step-by-step explanation:

The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Diameter = 12 inch so, radius will be 6 inch

Volume of circle = 4/3πr³

= 4/3 × (6)³ π

= 4 × 2 × 36 π

= 8 × 36

= 288π in³

The height of package is 34 inches.

According to the statement

we have given that the perimeter of cylinderical package is 123 inches.

and we have to find the volume of this package.

So,

According to the perimeter

2(Pi)r + h = 123

and then

h = 123 - 2(Pi)r

then the volume become

V = (Pi) r^2h

V= (Pi) r^2 * [ 123 - 2(Pi)r ] = 123 (Pi) r^2  - 2(Pi)r^3

then differentiate it

dV/dr = 246(Pi) r - 6(Pi)r^2

Now take

r(246(Pi) - 6(Pi)r) = 0

then neglect r=0 and then find another value of r.

r = 246(Pi) / 6(pi)

here r=41 then

h = 123 - 2(Pi)r

h = 123 - 2(3.14)41

h = 123 - 2(Pi)r

Then put the value of r then h = 34 inches.

So, The height of package is 34 inches.

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Answer:

962

Step-by-step explanation:

8658/9

answer is 962 pounds

Step-by-step explanation: divide 8658 by 9

Answer:

Step-by-step explanation:

a line is 180° so we subtract 109 from 180 to find mLUE

180-109=

71

a triangle is also 180° so we add up the angles we have so far and subtract that from 180°

180-(71+49)

180-(120)

mULE = 60°

Answer:

The scale factor of actual foundation to blueprint will be 156 to 1

Step-by-step explanation:

Here, we want to find the scale factor of the actual foundation to the blueprint

To do this, we need the actual measure of the two to be in the same units

Mathematically, 1 foot = 12 inches

So the number of inches in 52 feet will be 52 * 12 = 624 inches

So scale factor of foundation to blueprint will be;

4 inches to 624 inches

156 to 1

Answer: -7920

Step-by-step explanation: 33x-6x40= -7920

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given the data in the question;

Percentage = ( Part / Whole ) × 100%

Percentage = ( Part double / Whole ) × 100%

Percentage = ( 20 / 46 ) × 100%

Percentage = 0.43 × 100%

Percentage = 43.48%

Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.

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False. A linear programming problem can include more than one decision variable. Linear programming is a mathematical method used to find the optimal solution for a problem with multiple constraints and objectives, often related to maximizing or minimizing a certain value.

Decision variables are the variables that determine the potential solutions, and their values can be changed to affect the outcomes.

In many practical situations, there are multiple decision variables involved. For instance, a company may need to determine the optimal production quantities for different products, subject to resource constraints and market demands. In this case, the decision variables would represent the production quantities for each product, and there would be more than one variable.

In conclusion, the statement that a linear programming problem cannot include more than one decision variable is false. Multiple decision variables can be present in a linear programming formulation to address complex problems that involve multiple choices and constraints.

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To prove that e(h) has a minimum at h = 3€/M, we need to first understand the terms involved. The upper bound for total numerical error E h2 eh) + M h 6 refers to the maximum possible error in a numerical computation.

It includes two types of error: the truncation error (E h2) which results from approximating a mathematical function using a finite number of terms, and the round-off error (eh) which results from the limited precision of computer arithmetic.
The numerical error e(h) is a function of the step size h used in numerical approximations. It is given by e(h) = E h2 + M h 6 + eh.
Now, to prove that e(h) has a minimum at h = 3€/M, we can take the derivative of e(h) with respect to h and set it to zero.
de(h)/dh = 2Eh - Mh5 + eh'
Setting this equal to zero, we get:
2Eh - Mh5 + eh' = 0
Rearranging and solving for h, we get:
h = (2E/Me')^(1/4)
Substituting this value of h in e(h), we get:
e(h) = (4/3)^(3/4) * (EM)^(1/4) * eh'
Since eh' is a constant, e(h) is minimized when EM is minimized.
Therefore, we need to find the minimum value of EM, which is achieved when h = 3€/M.
Thus, we can conclude that e(h) has a minimum at h = 3€/M.

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Answer:

For every 7 students in 8th grade, there are 3 students in 6th grade.

I hope I'm right.

Answer:

i think its b

Step-by-step explanation:

Answer:

1

best answer ever be amazing