15. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED
AC 34 in. AB = 26 in. BD = 28 in.

P =
20 points for whoever answers

In the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

So, the values of C are:

Calculate as follows:

(A) When x = -2 and y = 15.

(B) When x = 0 and y = 10.

(C) When x = 2 and y = 5.

(D) When x = 4 and y = 0.

Therefore, in the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

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At an 85% confidence interval, the mean per capita income in thousands of dollars for the major city in Texas is $20.5 ± 0.459.

The confidence interval estimates the mean estimate by adding or subtracting the margin of error.

In random sampling, the margin of error represents the difference between the actual and projected results.

Mean income = $20.5

Sample size, n = 1,190

Standard deviation = $11

Confidence interval = 85%

Z-score for 85% confidence interval = 1.440

The margin of error = z-score x standard deviation/√n

= 1.440 x 11/√1,190

= 1.440 x 11/34.50

= 1.440 x 0.3188

= 0.459

= $459 (0.459 x $1,000)

Lower Limit = Mean - Margin of Error

= $20,500 - $459

= $20,041

= $20.041

Upper Limit = Mean + Margin of Error

= $20,500 + $459

= $20,959

= $20.959

Thus, for the Texas city, the mean per capita income is $20.5 ± 0.459.

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The number of items that are missing from the order if She ordered 27 products from one company, but unfortunately, some items were back-ordered, so she received only 19 items is 8.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

The number of the ordered products, O = 27,

The number of the received order, R = 19,

If m stands for the number of missing items, then,

m = O - R,

m = 27 - 19

m = 8

Therefore, the number of items that are missing from the order if She ordered 27 products from one company, but unfortunately, some items were back-ordered, so she received only 19 items is 8.

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How can you stay safe as you evacuate during a flood? Select the three correct answers:

A, C, & D

Moving furniture is not beneficial in a flood situation.

A, C and D

hope this helps!

Answer:

4 craft sticks

Step-by-step explanation:

Assuming that none of the craft sticks can be split in order to equally share the whole package, then the most craft sticks each person could have would be 9 because 9*9=81. This means that there would be 4 craft sticks left over because 85-81=4

Answer:

4x4x4

Step-by-step explanation:

3x4x5= 60

4x4x4= 64

64 is a higher volume than 60

Answer:

In order to find out which box can hold more, we can find the respective volumes of the boxes.

Volume of first box

= 3 inches × 4 inches × 5 inches

= 60 inches³

Volume of second box

= 4 inches × 4 inches × 4 inches

= 64 inches³

∴Since the second box has a greater volume than the first box, the former can hence hold more than the latter.

The values of x and y are 2 and -7 respectively, this forms an ordered pair of (6,-7) and (2,1).

Given the equation and ordered pair the question;

To determine, the y-value, plug the x-value into the equation and solve for y.

y = -2x + 5

Plug in x = 6

y = -2( 6 ) + 5

y = -12 + 5

y = -7

Determine the x-value by plunging in the y-value into the equation and solve for x.

y = -2x + 5

Plug in y = 1

1 = -2x + 5

1 + 2x = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2.

Therefore, the ordered pair are (6,-7) and (2,1).

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The expression that equals semantics -1 D is - 2x² + x + 15.

One or more terms in an algebraic expression each include variables and constants. These expressions utilize separators like +, -, and that are symbols or operations. An algebraic statement with variables and constants is a quadratic trinomial. It is written as ax² + bx + c, where a, b, and c are real non-zero values and x is the variable. The leading coefficient "a," linear coefficient "b," and additive constant "c" all refer to the same constant.

The given trinomial is D = 2x² - x - 15

Multiply both sides by -1 to find -1D

-1D = -( 2x² - x - 15) = 0

-1 D = - 2x² + x + 15

So, this is the trinomial equal to the semantics -1D.

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Answer:

please write it more clearly or take a pic

Answer:B

Step-by-step explanation:

Becauee it already says the first night how many tickets were sold also on the second and the third night. And if someone read the equation they would have known that the play went in for three nights.

Presley have 1 bracelets left  and the expression which shows the difference is (9x - 10) - (4x + 5) .

What is linear polynomial equation?

Any polynomial written as the equation p(x) = ax + b, with a and b being real numbers and a 0, is referred to as a linear polynomial. The largest exponent of the variable in a linear polynomial, or one, is known as the degree of the variable.

If n elements are given and x element is subtracted from the n elements, hence the remaining element is y,  then expression can be expressed by n- x = y.

We have,

             (9x - 10)

             (4x + 5)          

Initially Presley has (9x - 10) bracelets and she sells (4x + 5), hence we have to calculate the remaining bracelets.

Therefore,

                         (9x - 10) - (4x + 5)      

By simplifying the above equation we get,

= 9x - 10 - 4x + 5

= 5x -5

x = 5 / 5

∴ x = 1

Hence, the Presley have 1 bracelets left.

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Answer: The correct mean weekly grocery expense for Taylor is $62.51

How to find mean of a discrete data?

Suppose the data values be .

Then, their mean is evaluated as:

where n = number of observations.

For the given condition, Taylor recorded the weekly expenses for 12 weeks. Therefore, we get n = 12

Let the real weekly expenses for Taylor be

Let  observation is misinterpreted as T

Then, the mean of that misinterpreted set of data would be

Since we're given that:

Therefore, we get the mean of original weekly expenses as:

Therefore, the correct mean weekly grocery expense for Taylor is $62.51

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Step-by-step explanation:

If the same force acts upon another object whose mass is 5 kg, the object's acceleration will be 1.667 m/s^2.

We were told that the constant force acts upon an object, and  the acceleration of the object varies inversely with its mass, which can be interpreted as :

A = k/M

where M is the mass of the object.

A = acceleration

the k= proportionality constant

then we were told that mass is 3 kg, the acceleration of the object is 25 m/s^2

then substitute into the equation as:

25 =k*3

k= 25/3

then we were told that when mass is 5 kg, then acceleration will be ?

A= (25/3 )/5 = 1.667m/s^2.

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The result of the fractional operation in this problem is given as follows:

-21/5 = -4.20.

A fraction is represented by the division of a term x by a term y, as follows:

Fraction = x/y.

The terms that represent x and y are given as follows:

The numerator in this fraction is given as follows:

5 - (8 - 6) + 3 x 4 + 6.

The parenthesis and the multiplication have precedence, hence:

5 - (8 - 6) + 3 x 4 + 6 = 5 - 2 + 12 + 6 = 21.

The denominator in this fraction is given as follows:

5(4 - 5) = 5(-1) = -5.

The result is the division of the numerator by the denominator, hence:

21/(-5) = -21/5 = -4.20.

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Number lines are significant because they depict numbers as they appear in daily life.

What is number line?

A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa.

Research has revealed that number lines are crucial because they foster sound mental number sense and arithmetic procedures.

They assist in providing a mental approach for addition and subtraction. Number lines are crucial, we can all agree on that.

Number lines are significant because they depict numbers as they appear in daily life.

Primarily because they make it possible for negative integers to be represented in a meaningful fashion.

The ability to display all real numbers, even enigmatic irrational numbers such π, -π, √2, -√ 2, etc., was a secondary but no less significant result.

Hence, number lines are significant because they depict numbers as they appear in daily life.

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The daily amount in grams of the recommended carbohydrates is 2587.15 grams

The amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar

The problem deals with percentage and 7% is written as

7%

= 7 percent

= 7 / 100

= 0.07

The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate

let the daily recommended amount of carbohydrates be x

0.07 * x = 200

0.07x = 200

x = 200 / 0.07

x = 2587.15 grams

The daily recommended amount of carbohydrates is 2587.15 gram

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A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%" and PV factor used is 0.62026 .

Hence,

The amount desired at end of a period is $9400.

The length of time is 4 years .

The rate is 2%.

Compounded is monthly.

The period used is 48.

The rate used is 1%.

The PV factor used is 0.62026 .

The PV of the amount desired at the end of the period is $5830.45

What is the percentage?

A percentage is a number or ratio expressed as a fraction of . It is often denoted using the percent sign, "%".

Here from the question,

PV factor = (1 + i) ----(1)

where, i = 12/12 % , i =1

and

n = 4(12)

n = 48

Substituting the values in the equation , we get

PV factor = (1 + 0.01)^ -48

PV factor = 0.62026

Hence,

the amount desired at end of a period is $9400.

The length of time is 4 years.

The rate is %.

Compounded is monthly.

The period used is 48 .

The rate used is 1%.

The PV factor used is 0.62026.

The PV of the amount desired at the end of the period is $5830.45

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Step-by-step explanation:

you need to give us also some context.

because that sequence can be anything.

but I suspect you mean

4 : 5 = x : 480

0.8 = x / 480

x = 480 × 0.8 = 384

The measure of the angle in line y = 3x/2 is 56.31 degrees

Comparing the given equation y = 3x/2 with equation of a line in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

This shows the y = 3x/2 is a line with c = 0 and slope as 3/2

calculation of slope

m = (y₂ - y₁) / (x₂ - x₁)

the formula is similar to definition of tan, assuming the angle is x

tan x = 3/2 (positive x and y axis)

x = arc tan 3/2

x = 56.3099

x = 56.31 degrees (to the nearest tenth of a degree)

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Answer:

[tex]x= -4[/tex] + [tex]2\sqrt{5}[/tex]   and   [tex]x= -4 -2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]ax^{2}[/tex] + [tex]bx[/tex] - [tex]c = 0[/tex]

For this equation: [tex]a = 2, b = 16, c = -8[/tex]

[tex]2x^{2}[/tex] + [tex]16x[/tex] - [tex]8 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=2, b=16, c=-8[/tex]

[tex]x=\frac{-b + - \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-(16) + - \sqrt{16^{2}-4(2)(-8) } }{2(-2)}[/tex]

[tex]x=\frac{-16+- \sqrt{320} }{4}[/tex]

[tex]x= -4[/tex] + [tex]2\sqrt{5}[/tex]  and   [tex]x= -4 -2\sqrt{5}[/tex]

Hope this helps! :)

The answer to the inequality is  -55 < 49. That is -55 is less than 49.

What is inequality?

This refers to the relationship between two values that are not equal. It can be represented with the following symbols; < less than,> greater than, ≥ greater than or equal to,≤ less than or equal to, and  ≠ not equal to.

The given equation States that;

5(11 − ) < + 49

5*11- < +  49

-55  < +49

Therefore, -55 is less than 49.

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The rectangular equation for the plane curve defined by the parametric equation x = t + 4, y = t² is; y = x² - 8x + 16

We are given the parametric equations as;

x = t + 4

y = t²

Now, for us to convert parametric equations to a rectangular equation (cartesian equation) means that we are solving for t in terms of x and then plugging it back into the y equation.  Therefore, we have;

x = t + 4

t = x - 4

Thus;

y = (x - 4)²

Expanding this gives;

y = x² -4x - 4x + 16

y = x² - 8x + 16

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The value of c for the expression, -0.65(c-7) = 1.95, is 4.

According to the question,

We have the following expression:

-0.65(c-7) = 1.95

Now, 0.65 is in multiplication on the left hand side. So, it will be in the division on the right hand side. Note that the negative sign can also be moved to the right hand side.

c-7 = -1.95/0.65

c-7 = -3

Moving 7 from the left hand side will result in the change of the sign from minus to plus:

c = -3+7

c = 4

Hence, the value of c is 4 for the given expression.

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Part 1

[tex]\frac{x}{3.2}=\frac{4}{2} \implies x=6.4 \\ \\ \frac{y}{2.4}=\frac{2}{4} \implies y=1.2[/tex]

Part 2

[tex]\frac{x}{3.6}=\frac{10.8}{5.4} \implies x=7.2 \\ \\ \frac{y}{5.4}=\frac{15.2}{10.8} \implies y=7.6[/tex]

The linear equation that passes through the point (2,-9) and has a slope of -5 in slope-intercept form is y = -5x = 1

Linear equation can be represented in different form such as slope intercept form, point slope form, general form and standard form.

Hence, the linear equation in slope intercept form is as follows;

y = mx + b

where

Therefore, the line passes through (2,-9) and has a slope of -5 .

Hence,

y = -5x + b

let's find the y-intercept using (2, -9)

-9 = -5(2) + b

-9 = -10 + b

b = -9 + 10

b = 1

Therefore, the linear equation is  y = -5x + 1

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Answer:

3

Step-by-step explanation:

√83-√35 = 3.1943537960446828393782978131270521416836379374706155296172187959...

Step-by-step explanation:

we need to remember the squared numbers of the baud integers :

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

so, what squared integers are closest to 83 and 35 ?

well, 81 (9²) and 36 (6²).

so, the result has to be closest to 9 - 6 = 3.

83 is larger than 81 than 35 is smaller than 36. so, 3 is less than sqrt(83) - sqrt(35).

therefore, the correct answer is indeed 3.

The actual weekly labor cost compared to the target is 240 hours

What are Time and Work?

According to fundamental mathematical concepts, time may be described as the amount of time that a specific activity occurs, whereas work can be described as the collection of actions carried out in order to attain a specific activity or outcome. It should go without saying that time is needed to accomplish a task. It implies that time and work have a certain relationship.

The task completed is calculated as the sum of the number of people participating in the work and the number of days it took to finish. The fundamental time and work equation is W = N X D.

Target costing is a system under which a company plans in advance for the price points, product costs, and margins that it wants to achieve for a new product.

Given

Regular Rate $15.00/hr

Overtime Rate $22.50/hr

Targeted Labour Cost $12,000/wk

Labour Hours Needed 800/wk

According to the question:

Overtime means each employee can work beyond the input of 40 hrs. Per week.

Labor requirement = 800 hrs.

14 men labor capacity = 14× 40 = 560 hrs.

So overtime hours required = 800-560=240 hrs

Hence,

The actual weekly labor cost compared to the target is 240

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The value of the the two numbers are 5/8and 1/6

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y.

They are called simultaneous equations because the equations are solved at the same time.

if the first number is x and second number is y then

x+y= 19/24 equation 1

x-y= 11/24 equation 2

using elimination method, subtract equation 1 from 2

x-x+y-(-y)=19/24-11/24

2y= 8/24

2y=1/3

divide both side by 2

y= 1/3×1/2= 1/6

substitute 1/6 for y in equation 2

x+1/6=19/24

x= 19/24-1/6

x= 15/24

x= 5/8

Therefore the value of the two numbers is 5/8 and 1/6

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