2+2=?
to those who wanna answer easy questions!

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Answer:

To find output add 1.5 to every input number. Hopefully this helps

Step-by-step explanation:

Answer: 120

Step-by-step explanation:

There are 5 digits that are odd, 1 3 5 7 9

There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120

Answer: If a person needs roughly 2,100 to 2,400 calories per day, and they eat a treat that has 1,100 calories, they should consume 1,000 to 1,300 fewer calories for the rest of the day. This is because the body will only be able to process so many calories at once, and any excess calories will be stored as fat.

It is important to note that this is just a general guideline. The number of additional calories that a person should consume after eating ice cream will vary depending on their individual metabolism and activity level. If you are unsure how many calories you should be consuming, it is always best to speak with a registered dietitian.

Here are some tips for eating ice cream without sabotaging your weight loss goals:

* Choose lower-calorie options. There are many ice cream brands that offer lower-calorie options, such as light ice cream and frozen yogurt.

* Eat smaller portions. Instead of eating a whole pint of ice cream, try eating a half-cup or a single-serve container.

* Add healthy toppings. Instead of piling on the toppings, try adding healthy options like fruit, nuts, or granola.

* Enjoy your ice cream! Don't feel guilty about eating ice cream every once in a while. Just be sure to make it part of a balanced diet.

Answer:

C≈9.42m

Using any of this formulas

C=2πr

C=2πrd=2r

Solution:

C=πd=π·3≈9.42478m

Area of Δ ABC is 27/4

What is the area of the figure ?

To find the area of a  figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the figure.

Given that,  the area of square WXYZ is 25 cm².

so, area of square WXYZ = (side length of square)²

⇒ 25  cm² = (side length of square)²

∴ The side lengths of square WXYZ must be 5 cm

First, you should determine the height of ΔABC.

The distance from O to line WZ must be 2.5 cm, since line WX = 5 cm, and the distance from O to Z is half of that.

The distance from line WZ to line BC must be 2, since the side lengths of the small squares are 1, and there are two squares from line WZ to line BC.

So, the height of ΔABC must be 4.5, which is 2.5 + 2.

The length of BC can be determined by subtracting 2 from 5, since the length of WZ is 5, and the two squares in the corners give us 2 together.

This gives us the base for ΔABC, which is 3.

Then, area of Δ ABC = 1/2 (3×4.5)

                                   = 27/4

Hence, area of Δ ABC is 27/4

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Answer:

She should receive $30.86

Step-by-step explanation:

$7.05 + $8.12 + $3.97 =19.14

50 - 19.14 = 30.86

Using the subtraction method we have found that Hannah will receive the change of $30.86

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection

Total cost of three items =7.05 + 8.12 + 3.97 =$19.14

She paid $50 bill

Change that Hannah should receive is =50 - 19.14 = $30.86

Hence, change that Hannah should receive is$30.86

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The rates that credit card companies charge their customers for the use of their credit cards is in range of 1.5% to 3.5% of each transaction's total.

A credit card is a payment card issued to users to enable the cardholder to pay a merchant for goods and services based on the cardholder's accrued debt.

Given is the rates that credit card companies charge their customers for the use of their credit cards.

Credit card processing fees will typically cost a business 1.5% to 3.5% of each transaction's total.

Therefore, the rates that credit card companies charge their customers for the use of their credit cards is in range of 1.5% to 3.5% of each transaction's total.

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Answer:

The degrees of freedom for this problem are 21

Step-by-step explanation:

Degrees of freedom:

When testing an hypothesis involving two samples, the number of degrees of freedom is given by:

\(df = n_1 + n_2 - 2\)

In which \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.

In this question:

Samples of 9 and 14, so \(n_1 = 9, n_2 = 14\)

The degrees of freedom for this problem are

\(df = n_1 + n_2 - 2\)

\(df = 9 + 14 - 2 = 21\)

The degrees of freedom for this problem are 21

The required degree of freedom is 21.

Given that,

He randomly selects a sample of 9 lunch tickets from the city population resulting in a mean of $14.30 and a standard deviation of $3.40.

He randomly selects a sample of 14 lunch tickets from the suburban population resulting in a mean of $11.80 and a standard deviation $2.90.

He is using an alpha value of .10 to conduct this test.

We have to find,

The degrees of freedom for this problem are.

According to the question,

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom are commonly discussed in relation to various forms of hypothesis testing in statistics, such as a chi-square.

When testing an hypothesis involving two samples, the number of degrees of freedom is given by,

\(Degree \ of \ freedom = n_1+n_2-2\)

Where, \(n_1\) is the size of the first sample and \(n_2\) is the sample of the second sample.

\(n_1 = 9 \ and\ n_2 = 14\)

Therefore,

\(Degree \ of \ freedom = 9+14-2\\\\Degree \ of \ freedom = 21\)

Hence, The required degree of freedom is 21.

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Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

I bet you meant "consecutive". If x is the smallest of the 5 numbers, then the other 4 are x + 1, x + 2, x + 3, and x + 4. If their mean is 11, then

(x + (x + 1) + (x + 2) + (x + 3) + (x + 4))/5

= (5x + 10)/5

= x + 2 = 11

==>   x = 9

Then the five numbers are {9, 10, 11, 12, 13}.

Alternatively, since we're talking about an odd number of consecutive integers, the mean among them will always be the number in the middle. So if 11 is the mean, and there are five numbers overall, then we just take the four closest integers to 11, two on either side.

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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Answer:

200 MPH

Step-by-step explanation:

You basically have to divide 400 miles by two hours, since you need the miles per hour.

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The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

yeah it's right

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

x+37=3x-63

Subtract x from each side

x-x+37=3x-x-63

37 = 2x-63

Add 63 to each side

37+63 = 2x-63+63

100 =2x

Divide by 2

100/2 =2x/2

50=x

Answer:

Step-by-step explanation:

x - 37 = 3x - 63

x - x + 37 = 3x - x 63

37 = 2x - 63

2x = 63 + 37

2x = 100

x = 100 : 2

x = 50

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=\(\frac{9}{3}\)

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

1+2+3+4+5+6+7+8+9×2+14

Answer:

Not a function

Step-by-step explanation:

If you were to graph it, these would fail the vertical line test.

Answer:

C. 50cm

Step-by-step explanation:

40 * 10 = 400miles

5 * 10 = 50cm

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer: 56.52mm

Step-by-step explanation:

First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.

The equation for the circumference of a circle is:

C = 2πr

C = 2 x π x 225

C = 1413

Then, you divide it by 25

1413/25 = 56.52

Correct answer: Benjamin Franklin held different jobs at "New England Courant".

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

(-3, 6)

(-2, -3)

(-1, 6)

Step 2: Identify x-values

x = -3, -2, -1

Step 3: Identify y-values

y = -3, 6, 6

Answer:

Step-by-step explanation:

To calculate John's earnings for 7 hours of mowing and 5 hours of babysitting, we need to multiply the number of hours by the respective hourly rates and then add the results:

Earnings from mowing = 7 hours x $8.70/hour = $60.90

Earnings from babysitting = 5 hours x $7.70/hour = $38.50

Total earnings = Earnings from mowing + Earnings from babysitting = $60.90 + $38.50 = $99.40

Therefore, John will earn $99.40 for 7 hours of mowing and 5 hours of babysitting.

Answer:

Thus, he will earn $60.90 for mowing and $38.50 for babysitting

Altogether he will earn $99.40

Step-by-step explanation:

Part 1 (Mowing):

$8.70 an hour for 7 hours of mowing = 8.70 x 7

=8.70 x 7 = $60.9

Part 2 (Babysitting):

$7.70 for 5 hours of babysitting = 7.70 x 5

= 7.70 x 5 = $38.50

So, now you add $60.90 and $38.50 and that equals $99.40

=$99.40

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