The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 centimeters. Find the length and width of the rectangle.

The amount of Miranda's total monthly expense is  $970.

Basically, an expense refers to any cost of operations that a company incurs to generate revenue. It also means the cost that one is required to spend on obtaining something.

In a typical firm, the common expenses include a payment to suppliers, employee wages, factory leases, equipment depreciation etc.

in the question context, the expenses are:

Total monthly expenses = $60 + $85 + $195 + $55 + $575

Total monthly expenses = $970.

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Step-by-step explanation:

you can ask questions for clarification

Answer:

3

Please refer to the photo below:

In linear equation, 42 units quizzes will josie have taken in total.

What is a formula for linear equations?

josie took a total = 24 quizzes

the course  =  6 weeks

quizzes will josie have taken = 24/6 = 4

after attending 10 weeks of school this quarter = 10 * 4 = 40 units

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∠1 and ∠4 are supplementary angle in transversal line .

What is a transversal angle?

1) ∠6 ≅ ∠8   congruent angle.

2) ∠6 = ∠1 and ∠8 = ∠3    are Verical angles.

3) ∠1 and ∠4 are supplementary angle.

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From the statement, we know that stack of 30 science flashcards has:

• 10 with insects,

• 8 with trees,

• 8 with flowers,

• 4 with birds.

The probability of selecting a tree or a flower is given by:

4/15

the given family of functions is the general solution of the differential equation on the indicated interval y=[tex]7/2e^{x} -7/2e^{-x}[/tex]

What is differential equation?

Equations which involves functions and its derivative is known as differential equation. these equations are highly used to model behaviour of complex system.

How to solve?

y(x) = [tex]C_{1} e^{x}+C_{2}e^{-x}[/tex]

y(0) = [tex]C_{1} +C_{2}[/tex]

0 =[tex]C_{1} +C_{2}[/tex]  --------------------------------------------------(1)

y'(x) =   [tex]C_{1}e^{x} -C_{2}e^{-x}[/tex]

y'(0) =  [tex]C_1- C_{2} }[/tex]

7 =  [tex]C_{1}-C_{2}[/tex] -------------------------------------------------(2)

From Equation 1 and 2

[tex]C_{1} +C_{2}[/tex] = 0

[tex]C_{1} -C_{2}[/tex] = 7

[tex]C_{1}[/tex] = 7/2

[tex]C_{2}[/tex] = -7/2

y=[tex]7/2e^{x} -7/2e^{-x}[/tex]

the complete question is

The given family of functions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial-value problem. y = c1ex + c2e−x, (−∞, ∞); y'' − y = 0, y(0) = 0, y'(0) = 7

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The statements that are true in the lines of construction of the straightedge and compass construction which makes use of congruent circles, are;

Line EF is the perpendicular bisector of segment BD

Line EF is the bisector of angle BAC

Geometric figures are constructed using a compass and a straightedge, by using outlined steps or procedures.

From the diagram, given that the circumference of the circle with center B passes through the center of the circle with center D, and vice versa, we have;

Circle B is congruent to circle D

The steps to construct a perpendicular bisector to the segment BD includes;

Therefore;

The steps to construct the angle bisector of angle BAC

The angle bisector can be constructed by using the following steps

Which gives;

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Answer: 3.215 × 10^-7

Step-by-step explanation:

The exponent is smaller than all of the others, so it's the smallest.

1) The rule of transformation is described as; A: A rotation 90° clockwise about the origin

2) The value of x is; 2

3) The value of x is 10

4) The slope of the line is; 2

1) The rule of transformation for When the point M (h, k) is rotated through 90° clockwise about the origin, the point M (h, k) takes the image M' (k, -h). Thus, that is the rule here.

2) From the given image, we can tell that the angles 50° and 26x - 2 are corresponding angles. Thus, they are congruent and we have;

26x - 2 = 50

26x = 52

x = 2

3) From the given image, we can see that the given angles are supplementary and as such they add up to 180 degrees. Thus;

9x + 15 + 6x + 15 = 180

15x + 30 = 180

15x = 150

x = 10

4) Slope is;

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(1 - (-1))

m = 4/2

m = 2

5) Same question as the first one.

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Answer:

6kg

Step-by-step explanation:

5 to 30 ratio

1 to 6 ratio

Answer:

30/5=6

6 kg beans for $1

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The body mass index of a person 65 inches tall with a weight of 175 pounds is 29.12

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

The body mass index (BMI) is given by:

BMI = [mass in pounds / (height in inches)²] * 703

Given mass = 175 pounds, height = 65 in, hence:

BMI = [175/65²] * 703 = 29.12

BMI = 29.12

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The value of the net force acting on the block will be equal to 79N.

Force may be defined as the product of mass and acceleration, and it acts on the body in order to move the body. Since, the external force is acting on the block there will be a frictional force which opposes the block to move. The frictional force may be represented by f(k) and is given by

f(k) = external force - (ma)

f(k) = 40N - (5×6)

f(k) = 40N - 30N

f(k) = 10N and since it opposes the external force then the sign will be negative that is f(k) = -10N.

Also, there is a force of gravity acting on the body which will be equal to mg where 'g' is the acceleration due to gravity.

Now, force of gravity = mg

= 5×9.8 = 49N

Now, net force acting on the block = 40N - 10N + 49N

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Answer: the function only intersects the y axis

Step-by-step explanation:

Answer:

The function only intersects the y axis.

Step-by-step explanation:

See the attached worksheet.

The length and width of the rectangular field is found as width x = 2.08 m and length = 5.16 m.

The given values in the question are-

The width of the field = w.

The length of the field = 2x+1

The area of the field =  600 m².

The formula of area of rectangular field;

A = length×width

Put the values;

600 = (2x+1)x

Simplifying the equation;

600 = 2x² + x

2x² + x - 600 = 0.

Find the factors of the above quadratic equation using quadratic formula.

x = 2.08, neglecting negative value.

Thus, the width is x = 2.08 m.

length = 2x + 1

length = 5.16 m.

Thus, the length and width of the rectangular field is found as width x = 2.08 m and length = 5.16 m.

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The solution of the equation b² = 48 is b = 4√3

The equation can be solved as follows;

b² = 48

Therefore, we are to find the value of b in the equation.

The value of b comes with a square sign, so we have to remove the square to make b stand alone in the equation.

By removing the square sign we have to square root both sides.

Hence,

b² = 48

square root both sides of the equation

b² = 48

√b² = √48

Therefore,

b = √16 × 3

b = 4√3

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The rules of exponents which can be used to solve the expression as given in the task content are; Product rule, Negative rule and Quotient rule.

It follows from the task content that the rules which can be used to correctly solve the expression as given in the task content be determined.

Since the expression given is;

10³ * 10-⁷ * 10²

We can therefore have rewrite 10-⁷ using the negative rule so that we have; 1/10⁷.

Also, the product rule can be used on; 10³ * 10² so that we have; 10⁵.

Ultimately, the quotient rule can be used on the resulting expression; 10⁵/10⁷ so that we have; 10-².

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Construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game is 1/18.

What is a probability math example?

from above total number of chips =4+6+5+2+1 =18

hence Probabilty of win 0 P(0)=4/18

P(1) =6/18

P(5) =5/18

P(10) =2/18

P(100)=1/18

x     P(x)     xP(x)

0    0.22     0.00

1     0.33      0.33

5     0.28       1.39

10      0.11       1.11

100     0.06      5.56

                       8.39

therefore expeted value =8.39

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We determine the scale factor by comparing the lengths of corresponding sides of the square.

The length of O’N’=15 and the length of the corresponding segment ON =9.
Then, we compute the scale factor:
O’N’=kON

15=9k

k=15/9=5/3.

The scale factor is k=5/3.

Answer:

6

Step-by-step explanation:

Answer:

The farmer had to do 27 loads.

Step-by-step explanation:

Basically the easy way to do this is to grab a calculator (or the paper and pen way) and keep adding 336 until you get to 8914.

Once you add it all you will see there is a remainder of his corn left (that has not been delivered):178

Even though it isn't a full 336, the farmer would still have to make another trip.

336*26=8,736

So, adding the remainder into it's own load, we would get:

27.

Answer:

m arcRP = 125°

m arcQS = 125°

m arcSP = 55°

m arcQR = 55°

Step-by-step explanation:

An arc is the curve between two points on the circumference of a circle.

An arc measure equals its corresponding central angle measure.

Vertical Angles Theorem:  When two straight lines intersect, the opposite vertical angles are congruent.

Angles on a Straight Line Theorem:  The sum of angles formed on a straight line is equal to 180°.

As m∠ROP = 125°

Therefore, m arcRP = 125°

Given the measure of angle ROP is 125°, and an arc measure equals its corresponding central angle measure, the measure of arc RP is 125°.

Using the Vertical Angles Theorem:

⇒ m∠QOS = 125°

Therefore, m arcQS = 125°

Using the Vertical Angles Theorem, the measure of angle QOS is equal to the measure of angle ROP, so the measure of angle QOS is 125°. As an arc measure equals its corresponding central angle measure, the measure of arc QS is 125°.

Using the Angles on a Straight Line Theorem:

⇒ m∠SOP = 180° - 125° = 55°

Therefore, m arcSP = 55°

Using the Angles on a Straight Line Theorem, the measure of angle SOP is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc SP is 55°.

Using the Angles on a Straight Line Theorem:

⇒ m∠QOR = 180° - 125° = 55°

Therefore, m arcQR = 55°

Using the Angles on a Straight Line Theorem, the measure of angle QOR is 55°. As an arc measure equals its corresponding central angle measure, the measure of arc QR is 55°.

Answer: In simplest form it would be 6 1/40

Step-by-step explanation:

[tex] \frac{241}{40} [/tex]

but in mixed number

[tex]6\frac{1}{4} [/tex]

Answer:

23.8/5.6=4.25

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

[tex] \sf \: 23.8 / 5.6 =4.25[/tex]

[tex] \sf----------------------------------[/tex]

Answer:

60000

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 × [tex]10^{4}[/tex] =

6 × 10000 =

60000

By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.

For every survey, there are only two possible outcomes.

First- they have bank savings accounts,

second- they do not.

So, by using the binomial probability distribution we can solve this problem.

Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.

Probability = p

Successes repeated = n  times

The  value of the binomial distribution is:

E(Y) = n x p

In this problem, we have that:

p = 0.64

If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,

E(Y) when, n = 50

So,

E(Y)= n x p

= 50 x 0.64

= 32

Hence ,our required answer is 32 adults who would have bank savings accounts

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Use the Pythagorean theorem to solve for c using the lesser two sides.

The answer is A.

Answer : 3(x - 5)(x + 5)

example 3(x 2 - 25)

               3x2 - 75

sorry about what happened but I hope this helps have a great day