Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots are the same.How many meters of fencing did she buy?

Answer:  The correct option is

(D) Moved down and to the right.

Step-by-step explanation:  We are given to select the statement that best describes the translation of the following function from the standard position.

[tex]y=-\dfrac{1}{2}(x-2)^2~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

This is an equation of a parabola.

The standard position of a parabola of this type is

[tex]y=x^2,[/tex]

where the vertex is at (0, 0). Since the coefficient of x² is positive, so the parabola opens upwards.

Now, from equation (i), we have

the vertex of the parabola is at (2, 0) and since the coefficient of x² is negative, so the parabola opens downwards.

Also, the vertex (0, 0) has been shifted to (2, 0), so the parabola is moved 2 units to the right.

Therefore, the given parabola is moved down and 2 units to the right as compared to the standard position.

The images of the given parabola (i) and the standard parabola are shown in the attached figure below.

Thus, (d) is the correct option.

Answer:

A Hope this helps

Step-by-step explanation:

Answer:

c). Fact sheet

Step-by-step explanation:

A). Self assessment

  Self assessment is analyzing oneself or examining oneself. This is important for job search as to it provides a clear idea in our mind that what we actually want to do and want we are interested in.

B). resume

   Resume is very important in job search. It is basic bio data or a brief summary of our education and past employment experience if any. It also showcases our strength and weakness and our main objective in our life.

C). fact sheet

     Fact sheet is a list of facts or events listed in a chart and it has no connection to any job search. It may be good to have knowledge about facts but it is not necessary and compulsory for job search.

D). follow up plan

   Follow up plan is a routine check to be done when searching for jobs. Searching for vacancies, contacting the company and following up with the employer is a necessary thing in job search.

Therefore, C). fact sheet is not a part of job search preparation checklist.

Final answer:

The student's question involves determining the present value of annuity payments from a lottery winning, which increase over time and are discounted by a particular rate. The present value is calculated using a formula for a growing annuity, taking into account factors like the growth rate of the payments, the discount rate, and the number of periods. An example with a simple bond issue is provided to illustrate the process of calculating present value at different discount rates.

Explanation:

The student's question pertains to calculating the present value of annuity payments that increase at a fixed percentage rate over time, using a specified discount rate. This is a common exercise in finance and economics, especially related to determining the value of future cash flows given a particular rate of return (or discount rate). To solve the problem, we use the present value formula for a growing annuity.

For the lottery winnings scenario, we would calculate the present value of each individual payment and then sum them up. The first payment of $1,000,000 is received in one year, and it increases by 3 percent each year for 30 years. The discount rate is 7 percent. To analyze this, we must consider the effects of inflation and the time value of money, which is why the payments are 'discounted' back to their present value at the prevailing discount rate.

The general formula for the present value of a growing annuity is:

PV = P * [(1 - ((1 + g)/(1 + r))^n) / (r - g)]

where PV is the present value, P is the first payment, g is the growth rate of the payments, r is the discount rate, and n is the number of periods.

Using the simple two-year bond example provided, the present value calculations at an 8% discount rate are:

$240/(1+0.08) = $222.22

$3,240/(1+0.08)^2 = $2,777.78

Total present value = $222.22 + $2,777.78 = $3,000

If the discount rate increases to 11%, the new present values would be calculated using the higher rate, resulting in a lower total present value for the bond. The calculations reflect the principle that if the cost of borrowing money increases (higher discount rate), the present value of future payments decreases.

Answer:

option (1) is correct.

the product of the binomial by the trinomial is [tex]y^3+27[/tex].

Step-by-step explanation:

Binomial is the term having two different term and trinomial  having three different terms.

Here, Binomial is [tex]y+3[/tex] and trinomial is [tex]y^2-3y+9[/tex]

We have find the product of the binomial by the trinomial.

[tex](y+3)(y^2-3y+9)[/tex]

Multiply each term of binomial with trinomial,

[tex]\Rightarrow y(y^2-3y+9)+3(y^2-3y+9)[/tex]

[tex]\Rightarrow y^3-3y^2+9y+3y^2-9y+27[/tex]

Combining like term, we get,

[tex]\Rightarrow y^3+(3-3)y^2+(9-9)y+27[/tex]

[tex]\Rightarrow y^3+27[/tex]

Thus, the product of the binomial by the trinomial is [tex]y^3+27[/tex].

Hence, option (1) is correct.

The length of the rectangle is 33.5 feet.

To find the length of the rectangle, we can use the formula for the area of a rectangle:

Area = length * width

Given:

Area = 402 ft^2

Width = 12 ft

Let's solve for the length:

402 ft^2 = length * 12 ft

To find the length, divide both sides by 12 ft:

length = 402 ft^2 / 12 ft

length = 33.5 ft

So, the length of the rectangle is 33.5 feet.

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The second answer is millimeters per week. You're welcome!

The given four consecutive even integers are 2, 4, 6, 8

Even numbers are numbers which are divisible by two.

Any even number can be written as 2n , where n is any integer

If we increase n by 1 then next even number will be obtained. Then the consecutive even numbers be 2n , 2 (n+1), 2(n +2) , 2 (n+3), ....... so on.

Given that the sum of four consecutive even integers is 20

Let the four consecutive even integers are :

2n , 2(n+1) , 2(n+2), 2( n+3)

Then

⇒2n + 2(n+1) + 2(n+2) + 2( n+3) = 20

⇒ 2n + 2n +2 +2n +4 + 2n +6  =20

⇒ 8n + 12 =20

⇒ 8n = 20-12

⇒ 8n = 8

⇒ n =8/8 = 1

Therefore, the given four consecutive even integers are 2, 4, 6, 8

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The solution for y of the given equation is y = (d - 5x)/ 5.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that the equation as

⇒ d = 5x + 5y

Rearrange the terms in the above equation

⇒ 5y = d - 5x

Divided by 5 both sides of the equation

⇒  y = (d - 5x)/ 5

Hence, the solution for y of the given equation is y = (d - 5x)/ 5.

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Answer:

A right cone. If an equilateral triangle were to be cut in half then it would form a right triangle then if this right triangle were rotated 360 degrees it would form a right cone

Step-by-step explanation:

Answer:choice three

Step-by-step explanation:

Answer:

The correct option is 3. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

[tex]g(x)=kf(x)[/tex]

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]

[tex]k>1[/tex]

[tex]b<1[/tex]

Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

The equation represents the line that passes through the points (–3, 7) and (9, –1) will be A) y = - 2/3 x + 5.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

The slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope = (7 + 1)/(-3 - 9)

                = 8 / -12

                = -2/3

The equation of a line

[tex]y = mx + b\\7 = -2/3(-3) + b\\7 = 2 + b\\b = 5[/tex]

y = -2/3x + 5

Learn more about slope;

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The answer in the given statement above is sample bias, this is considered to be a sampling error because this type of technique uses a sample in which they don’t represent the population, causing error in which could be eliminated with the use of methods.

Answer:

-3

Step-by-step explanation:

-3+(-4)+(-5)+(-6)=-3-4-5-6=-18

-3 is the greatest because the smaller the number behind the negative sign, the larger the number that's larger than that but behind a negative sign is smaller. e.g. -4 is less than -3

Final answer:

The width of the field is 80 feet, and the length is 720 feet, calculated using the perimeter formula and the given ratio of length to width.

Explanation:

To determine the dimensions of the rectangular field, we need to set up two equations based on the given information that the field's length is nine times its width and that the perimeter is 1600 feet. We'll let w represent the width of the field and l represent the length.

Since the field's length is nine times its width, we can express this as l = 9w. The perimeter P of a rectangle is given by P = 2l + 2w. Since we know the perimeter is 1600 feet, we can use this to create the equation 1600 = 2(9w) + 2w, which simplifies to 1600 = 18w + 2w.

Combining like terms gives us 1600 = 20w, and solving for w gives us w = 1600 / 20, so w = 80 feet. Knowing w, we can find l by multiplying the width by 9: l = 9w = 9 × 80 = 720 feet.

Therefore, the dimensions of the field are a width of 80 feet and a length of 720 feet.