answer the question below please.

The area of walk is 504 square feet

The area of rectangle is define as a  product of length L and width w

calculate the area of rectangle yard

Area = L x W,  

where A equal the Area, L equals the length and W equal width.

A = 35 x 55

A= 1925 square feet

Area of the rectangular yard is 1925 square feet

From the question, we have 3ft wide goes all the way along the fence inside.

Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .

Area = L x W

A = 29 x 49

A = 1421 square feet

Area of new rectangle formed by allowing for three foot walk is 1421 square feet

Area of Walk

To get the area walk;  we subtract area of new rectangular formed from area of rectangular yard

Area of Walk = Area of Rectangular yard - Area of new rectangle

Area of Walk = 1925 - 1421

Area of Walk = 504 square feet.

Therefore, the area of walk is 504 square feet.

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Answer:

neither narrower or broader

Step-by-step explanation:

if you look at your problem it says identical so that means exactly the same so it would be the second choice neither narrower or broader

The value of x is 19 and the measure of angles in triangle ABC are 75°, 75° and 30° respectively.

triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

If ABC is a triangle, then it is denoted as ∆ABC, where A, B and C are the vertices of the triangle. A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.

The sum of ∠A + ∠B + ∠C = 180°( sum of angles in a triangle )

3x + 18 + 7x - 58 + 2x - 8 = 180°

12x -48° = 180°

12x = 228

x = 228/12

x = 19

but ∠A = 3x + 18, but x = 19

∠A = 3(19) + 18 which is 75°

Also ∠B = 7x -58

∠B = 7(19) - 58 which is 75°

∠C = 2x -8

∠C = 2(19) - 8 which is 30°

In conclusion, the value of x = 19, ∠A = 75°, ∠B = 75° ∠C = 30°

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Answer: A

Step-by-step explanation:

18.6 is less than 18.7

so 18.6<18.7

The difference between their average hiking rates is 0.51 miles/hour.

Given that, it took Lannie 1.9 hours to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Using speed =Distance/Time

Here, Ranger Cove distance =4.8 miles and time =1.9 hours

Now, rate =4.2/1.9

= 2.21 miles/hour

Mohawk Trail distance =6.8 miles and time =4 hours

Now, rate =6.8/4

= 1.7 miles/hour

The difference between their average hiking rates

= 2.21-1.7

= 0.51 miles/hour

Hence, the difference between their average hiking rates is 0.51 miles/hour.

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The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.

If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].

The fourth term of the polynomial (d - 4b)³ is D. -64d³.

A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.

Given the expression (d - 4b)³, we need to open the bracket, hence:

(d - 4b)³ = d³ + 3(d²)(-4b) + 3(d)(-4b)²

             = d³ - 12bd² + 48b²d - 64d³

Therefore, the fourth term of (d - 4b)³ is D. -64d³

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The ABCD parallelogram turns into a rhombus if all of its sides are equal.

All Sides are equal.

Diagonals bisect at 90°.

In our question,

AB = DC is given for a quadrilateral ABCD (parallelogram).

When a parallelogram's sides are uneven, symmetry is disrupted and its diagonals do not bisect at 90 degrees. However, when all of the sides are equal, the diagonal does bisect at 90 degrees and the parallelogram becomes a rhombus.

Therefore, when all of a parallelogram's sides are equal, it becomes a rhombus.

The complete question is:

You are trying to prove that quadrilateral ABCD is a rhombus. You know that both pairs of opposite sides are parallel (a parallelogram). Which additional fact would prove that ABCD is a rhombus?

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The total monthly charges for the mobile plan if the usage is 120 minutes is $480.

Given that,

A mobile plan's total monthly costs, $C, are made up of a fixed fee of $ 20 and a variable fee that is based on usage. The cost is $0.20 per minute used.

We have to calculate the total monthly charges for the mobile plan if the usage is 120 minutes.

We know that,

A mobile plan fee is $20

For 1 min $0.20 for mobile plan

For 120 minutes

=120×0.2

=24

=24×20

=480

Therefore, the total monthly charges for the mobile plan if the usage is 120 minutes is $480.

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The function‘s end behavior is falls to the left and rises to the right.

The given function is [tex]f(x)=-10+2x^5-9x^3[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Use the degree and the leading coefficient to determine the behavior.

Falls to the left and rises to the right.

Find where the first derivative is equal to 0 to find the local maxima and minima.

x =−3√30/10 is a local maximum

x = 3√30/10 is a local minimum

Therefore, the function‘s end behavior is falls to the left and rises to the right.

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The free fall speed of a parachutist can exceed 216 kilometres per hour. During his 20 seconds of free fall, the parachutist will plunge 1960 metres.

Every time an object is subject to a net force that is greater than zero, acceleration happens. You can experience it when riding down a steep hill on your sled in the snow or when you slightly accelerate or decelerate in an elevator. Furthermore, we know that the universe as a whole is expanding at an even faster rate because to the general theory of relativity. This implies that the distance between two places is always enlarging, yet we are oblivious to this on a daily basis because every scale in the universe also expands.

During free only acceleration due to gravity(g) acts on the parachutist. Assuming acceleration due to gravity is positive i.e. g=9.8m/s² .

For conversion we know that

1 km = 1000 m and

1 hr = 3600 seconds

216 km/hr = 60 m/s

Location of parachutist during 20 seconds

[tex]h = \frac{1}{2} \times g \times t^2[/tex]

[tex]h=\frac{1}{2} \times 9.8 \times 20^2[/tex]

h = 1960 meters

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Her son mowed the most lawn

35%of the lawn meeds to be mowed

The final amount compounded monthly at a rate of 8% over 6 years on a principal of $5300 is $8551.56

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

The formula of compound interest as given in the questions is

A = P[(1 + r/n)^nt

Substituting the values into the formula

A = 5300(1 + 0.08/6)^12 * 6

A = 8,551.56

Erica will owe $8551.56

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How to find a parabola's equation using its Vertex Form

Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...

Step 2: find the value of the coefficient by substituting the coordinates of point P into the equation written in step 1 and solving for a.

Answer:

[tex]y^6[/tex]

Step-by-step explanation:

1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].

[tex]y^{1+3+2[/tex]

2) Simplify 1 + 3 to 4.

[tex]y^{4+2}[/tex]

3) Simplify 4 + 2 to 6.

[tex]y^6[/tex]

Thank you,

Eddie

Answer:

9 + 20p ≤ 125

Step-by-step explanation:

This does not include the tax.

Using half-life and disintegration constant, the sample that will remain 4 seconds 2.03g

This is the spontaneous decay of an active radioactive sample. The decay curve is exponential and it slope is constantly changing.

The half-life of this sample given can be used to find the disintegration constant of the sample.

The formula of half - life is given as

T₁/₂ = ln2 / λ

Substitute the values into the equation;

7.13 = 0.693 / λ

λ = 0.693 / 7.13

λ = 0.0972

The amount of sample left after 4 seconds will be

A = Ne⁻(λt)

A = 3e⁻(0.0972 * 4)

A = 2.03g

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Answer please anyone help same doubht

Step-by-step explanation:

Answer:

Refer to the photos taken.

Step-by-step explanation:

The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.

The No of bacteria left at a particular time t is given as N(t)= Noe^-kt

where No= initial number of bacteria

k= decay constant and t = time

after 13 minutes

630= 700e^-13k

divide both sides by 700

630/700= e^-13k

0.9= e^-13k

ln0.9= -13k

k= ln0.9/-13 = -0.1054/-13 = 0.0081

time for 20 bacteria to be left =

20= 700e^-0.0081t

= 20/700=e^-0.0081t

0.0286= e^-0.0081t

ln0.0286= -0.0081t

-3.554= -0.0081t

divide both sides by -0.0081

t= -3.554/-0.0081= 439 minutes ( nearest minutes)

therefore the time for the bacteria to be left is 439minutes

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Answer:

26

Answer choice 1.

Step-by-step explanation:

6 1/2 ÷ 1/4 is our equation.

6 1/2 as an improper fraction is 13/2

Our new equation is 13/2÷1/4

flip the divisor into a reciprocal and multiply:

13/2×4/1

simplify:

13/1×2/1

26/1

=26

Answer: The answer is A or 26

Step-by-step explanation: I have my ways ;>

The length of AC is equal to 5 units.

Given:

From the figure :

ΔABC is a right angled triangle with sides:

AB = 3 and BC = 4

Right angled triangle:

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.

The third side is called the hypotenuse, which is the longest side of all three sides.

we know that,

According to pythagorean theorem:

[tex]AB^2+BC^2 = AC^2[/tex]

3^2 + 4^2 = AC^2

9 + 16 = AC^2

AC^2 = 25

AC = [tex]\sqrt{25}[/tex]

AC = 5 units.

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Full question:

is in the image uploaded

The number 5i located on the complex plane in I Quadrant.

What is Complex Plane?

The real axis and the imaginary axis are the graph's horizontal and vertical axes, which are orthogonal (or perpendicular). The labels Re and Im are typically present. The complex plane is the plane defined by these coordinates.

We are aware that in a two-dimensional plane, an ordered pair's x- and y-coordinates are treated as the real and imaginary parts of the complex number, respectively.

i.e., a+bi=(a,b) -- Quadrant I,

    -a+bi=(-a,b) -- Quadrant II,

     a-bi=(a,-b) -- Quadrant III

and

     -a-bi=(-a,-b) -- Quadrant IV

The complex number that is being presented is 5i, aland it is located in quadrant I.

As a result, the complex number in question belongs in Quadrant I.

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The number of votes that Candidate B received, given the rate and the votes received by Candidate A, is 63 votes

The question shows that for every 5 votes received by Candidate A, Candidate B will receive 7 votes.

This means that if Candidate A has 45 votes, the number of votes that Candidate B would receive can be found to be :

= Number of votes received by Candidate A / Number of votes Candidate A receives per Candidate B x Number of votes  Candidate B receives per Candidate A

= 45 / 5 x 7

= 9 x 7

= 63 votes

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The first part of the question is:

Candidate A receives about 5 votes for every 7 votes received by Candidate B.

The responses for the confidence intervals of the 45 lbs weight and the set of data are;

3. D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb weights lies between 45.0472 and 45.0928

4. C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.

The confidence interval is the likelihood of a parameter of a population can be found within a range of values during a specified percentage or proportion of the time.

3. The confidence interval can be found using the formula;

[tex]CI = \overline x \pm z\cdot \dfrac{s}{\sqrt{n} }[/tex]

Where;

[tex]\overline x[/tex] = The mean of the sample = 45.07 lbs

s = The standard deviation of the sample = 0.09 lbs

n = The sample size

z = The confidence level = 1.96 at 95% confidence level

Therefore;

[tex]CI = 45.07 \pm 1.96\times \dfrac{0.09}{\sqrt{60} }[/tex]

45.0472 < μ < 45.0928

The correct option is therefore, option D

Therefore;

4. Decreasing the sample size, n, will decrease the value by which the term on the right of the ± is being divided, increasing the confidence interval.

Increasing the level of confidence will increase z, thereby also increasing the confidence interval.

The correct option is therefore, option C.

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Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.

The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).

The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.

Cost of car = $27,000

Annual Percentage Rate (APR) = 4%

Payment period = 4 years (monthly)

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 4%

PV (Present Value) = $27,000

FV (Future Value) = $0

Results:

PMT = $609.63

Sum of all periodic payments = $29,262.24

Total Interest = $2,262.45

Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.

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The year in which Gert will find that she has doubled her money is year 20.

Simple interest is when the interest earned on an investment increases linearly each year.

The formula that can be used to determine simple interest is:

Simple interest = amount invested x duration of the investment x interest rate.

When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).

Year when investment would have doubled  = simple interest / (amount invested x interest rate)

Year when investment would have doubled  = $2000 / (0.05 x 2000)

Year when investment would have doubled  = $2000 / 100 = 20 years

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Am pula mare!

Da aaaaaaaaaaa????

Divide the numerator and denominator by the GCF to reduce a fraction. (This is also referred to as "writing a fraction in the simplest terms.") The common factors are sometimes shown to be "cancelled." It is worth noting that the result is an equivalent fraction in its simplest form.

To put it simply, we must divide the numerator (x) by the denominator (y) to simplify it. For example, after simplifying 3 6, represent it as a fraction and identify the numerator and denominator. 3 6 can be written as 3/6. Further simplification yields 1/2.

Let's pretend the fraction is a proper fraction. The denominator is the numerator. We want to reduce the fraction to its simplest form.

a) Use Numerator =Remainder* as the denominator.

Now Numerator >Remainder* b)Numerator Remainder*=Remainder** c) ••• (keep going until Remainder =0)

d) When the Remainder equals zero, the Divisor is the GCD (or GCF, as you say). GCF is a misnomer because it only deals with numbers. Only the term GCF applies to variables (with numerical values, as in algebraic expression).

Let us look at an example.

407/3367 is the fraction.

As evident, the numbers407 ,3367 does not appear to have share Divisors 2 or 3 or 5 or 7 or 11 from prima facie considerations. So we may take recourse of successive division method.

3367 ÷407 =Remainder 111 (quotient 8)

407 ÷ 111 =Remainder 74 (quotient 3)

111 ÷74=Remainder 37 (quotient 1)

74 ÷37 =Remainder 0 (ZERO )

Here 37 divides leaving Remainder zero. Therefore the GCD is 37

Fraction 407 /3367 =(407 ÷37)/(3367÷37)=11/91

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The percentage of the quality cost, that is taken up by the prevention and appraisal costs are:

The prevention cost would be the cost associated with customer service training as this ensures that less mistakes are made.

The appraisal cost would be the cost to verify credit card information.

The percentage of total quality control cost that prevention cost is, would be:

= 379, 600 / 949, 000 total

= 40 %

The percentage for appraisal cost is:

= 189, 800 / 949, 000

= 20 %

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The rest of the question is:

Present the percentage values of prevention and appraisal as a percentage of the quality cost.

Answer:

x=7

Step-by-step explanation:

3(2x-5)=9(10-x)

6x-15=90-9×

6x+9x=90+15

15x=105

×=7

Answer:

x = 7

Step-by-step explanation:

1. Distribute

3(2x - 5) = 9(10 - x)

6x - 15 = 9(10 - x)

2. Rearrange Terms

6x - 15 = 9(10 - x)

6x - 15 = 9(-x + 10)

3. Distribute

6x - 15 = 9(-x + 10)

6x - 15 = -9x + 90

4. Add 15 to both sides

6x - 15 = -9x + 90

6x - 15 + 15 = -9x  + 90 + 15

5. Simplify

Add the numbers:

6x - 15 + 15 = -9x + 90 + 15

6x = -9x + 90 + 15

Add the numbers:

6x = -9x + 90 + 15

6x = -9x + 105

6. Add 9x to both sides

6x = -9x + 105

6x + 9x = -9x + 105 + 9x

7. Simplify

Combine like terms:

6x + 9x = -9x + 105 + 9x

15x = -9x + 105 + 9x

Combine like terms:

15x = -9x + 105 + 9x

15x = 105

8. Divide both sides by the same factor

15x = 105

15x/15 = 105/15

9. Simplify

Cancel terms that are in both the numerator and denominator:

15x/15 = 105/15

x = 105/15

Divide the numbers:

x = 105/15

x = 7

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