What is (0.3 x 2.8)2

Ronnie cut a total of 9 inches of wood. This is determined by multiplying the number of sections he cut (12) by the length of each section (3/4 inch).

Ronnie cut 12 sections of wood, each measuring 3/4 inch to make his birdhouse's roof. In order to find out the total length of wood he used, we need to multiply the number of sections he cut by the length of each section. This is a basic multiplication problem in fractions.

So, 12 (sections) x 3/4 (inches/section) = 9 inches.

This means Ronnie cut a total of 9 inches of wood to make the birdhouse roof.

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The reflection of points across Y and X axis will be equal to (-5, 9), (5, -9).

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image.

A line, called the line of reflection, will allow an image to reflect through it. Every element inside a figure is thought to reflect another figure when they are all equally spaced apart from one another.

As per the mentioned data in the question,

The given point is (5, 9).

Under the reflection in the y-axis, points are converted as,

(x, y) ⇒ (-x, y)

So,

(5, 9) ⇒ (-5, 9)

Under the reflection in the x-axis, points are converted as,

(x, y) ⇒ (x, -y)

So,

(5, 9) ⇒ (5, -9)

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$2500 is invested at an interest rate of 4.5% per year, compounded daily for 2 years will amount to $5225.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given,  $2500 is invested at an interest rate of 4.5% per year, compounded daily, and assuming it is for 2 years.

∴ The amount compounded daily will be,

A = P(1 + (r/365)/100)ⁿˣ³⁶⁵ as compounded daily.

A = 2500(1 + (4.5/365)/100)²ˣ³⁶⁵.

A = 2500( 1 + 0.00101)⁷³⁰.

A = 2500(1.00101)⁷³⁰.

A = 2500×2.09 dollars.

A = 5225 dollars.

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To calculate the future value of an investment of $2500 at a 4.5% interest rate compounded daily for 5 years, we use the compound interest formula. Assuming 5 years of growth, the future value would be approximately $3117.14.

If $2500 is invested at an interest rate of 4.5% per year, compounded daily, we need to find the value of the investment after a certain number of years. The formula to calculate the future value of an investment with daily compounding is given by:

FV = P × (1 + r/n)^(n×t)

where:

To calculate the future value, we plug in the values into the formula. However, the number of years, t, has not been specified, so we'll need that to give a final answer. For our purposes, let's assume the student asks for the value after 5 years. Using the formula:

FV = $2500 × (1 + 0.045/365)^(365×t)

FV = $2500 × (1 + 0.00012328767)^(1825)

FV = $2500 × 1.246856823

FV = $3117.14 (rounded to the nearest cent)

After 5 years, the investment would be worth approximately $3117.14.

Answer:20%

Step-by-step explanation:

250*20%=50

50+250=300

Answer:

20%

Step-by-step explanation:

Answer:

78,000

Step-by-step explanation:

9.75 is 7.8 times larger than 1.25.

However, we have powers of 10.  In the first number, 10 is raised to the 6th power; in the second number, 10 is raised to the 2nd power.  This means that the first number is 10⁴ times bigger than the second one, or 10000 times bigger.

This means in total, the first number is 7.8(10000) = 78000 times larger than the second one.

This can be confirmed by dividing the two; 9.75(10⁶)÷1.25(10²) = 78000

Answer:

78000

Step-by-step explanation:

They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.

We have given that,

At a local store, hot dogs come in packages of 8, and hot dog buns come in packages of 12.

Let's first analyze the word problem we have here.

It is stating that she, Arpitha, bought the minimum packs of hotdogs and minimum packs of buns to get an equal number of buns to hotdogs.

We can find the multiples they have in common.

8, 16, 24, 32, 40

12, 24, 36, 48, 60

They both have 24 in common, She bought 3 packs of hotdogs and two packs of hotdog buns.

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Answer:

The correct answer is twelve.

Step-by-step explanation:

The values of a would make the expression 36, 49 and 81.

The correct options are b, c, and d.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To factor the expression x² - a completely, we need to write it as a product of two binomials.

This can be done using the difference of squares formula, which states that a² - b² = (a + b)(a - b).

If we apply this formula to x² - a, we get:

x² - a = (x + sqrt(a))(x - sqrt(a))

This is a factorization of x² - a into two binomials, where the constant term a is represented by the square root of a.

For the expression x² - a to be completely factored, both factors must be irreducible (meaning they cannot be factored any further). This requires that a be a perfect square.

Out of the given options, 36, 49, and 81 are perfect squares.

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The best way to determine how many tangent lines can be created is to actually draw the circle and point itself. Given circle and a point outside, extend lines going from the point to the circle where the line is tangent to the circle. From this, we can get only 2 tangent lines, nothing more. (See attached)

Answer:

2

Answer:

I think its 2

Step-by-step explanation:

There are 36 boys in the school choir.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

There are 18 girls in the school choir.

The ratio of girls to boys is 1 to 2.

That means,

Girls / boys = 1/2

Substituting the values,

18 / boys = 1/2

Boys = 2 x 18

Boys = 36

Therefore, there are 36 boys.

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The total travel time one way is 288 minutes.

To find the total travel time one way, we need to add up the time spent on each part of the journey. The salesman spends 1 hour and 48 minutes commuting from his house to the airport. Let's convert this to minutes, which gives us 60 + 48 = 108 minutes.

Next, we add the flight time. The question doesn't specify the duration of the flight, so we can't determine that. We'll assume it takes 2 hours, which is 120 minutes. Finally, we add the time spent on the bus. Again, the question doesn't provide this information, so let's assume it takes 1 hour (60 minutes) by bus.

Adding up the commute time, flight time, and bus time, we get 108 + 120 + 60 = 288 minutes. Therefore, the total travel time one way is 288 minutes.

all angle = 60 degrees

 so 2x-4 =60

2x=64

x = 64/2 = 32

x = 32

Answer:

The number written in standard form is [tex]131,480,000[/tex]

Step-by-step explanation:

we have

[tex]1.3148*10^8[/tex]

we know that

[tex]10^8=100,000,000[/tex]

substitute

[tex]1.3148*10^8=1.3148(100,000,000)[/tex]

Remember that

When multiplying decimals by 10, move the decimal point one space to the right

In this case move the decimal point eight spaces to the right

[tex]1.3148(100,000,000)=131,480,000[/tex]

therefore

The number written in standard form is [tex]131,480,000[/tex]

Answer:

The constant of variation is

-3/5

your welcome XD

Answer:  The required width of the rectangle is 7 cm.

Step-by-step explanation:  Given that a rectangle has perimeter 84 cm and length 35 cm.

We are to find the width of the rectangle.

Let w represents the width of the rectangle.

According to the given information,

length, l = 35 cm and perimeter, P = 84 cm.

Therefore, we get

[tex]P=2(l+b)\\\\\Rightarrow 84=2(35+w)\\\\\Rightarrow 42=35+w\\\\\Rightarrow w=42-35\\\\\Rightarrow w=7.[/tex]

Thus, the required width of the rectangle is 7 cm.