If (a+b)^2=25, and a^2+b^2=17, then what is a*b equal to? Thanks.

Final answer:

The finance charge for John is calculated by multiplying his unpaid balance by the periodic rate. The calculation results in a finance charge of $8.31, which is option A.

Explanation:

John's finance charge on his credit card, based on a periodic rate of 1.75% on an unpaid balance of $475, can be calculated using the formula: Finance Charge = Periodic Rate × Unpaid Balance. To find the finance charge, multiply 1.75% (or 0.0175 in decimal form) by $475. Therefore, the finance charge would be 0.0175 × $475 = $8.3125. When rounded to the nearest cent, this is $8.31, which corresponds to option A.

When converting gram to kilogram (smaller unit to larger unit), you must divide by 10.  This means that you must move each unit to the left.  For example:

Kilo, hectogram, decagram, gram... you must move 3 steps to the left which means 5500 grams is equal to 5.5 Kilograms

Answer: The formula to convert kelvin to degree celsius is:

°C=K-273

First option: °C=K-273

you would need to multiply 8.25 by the number of hours worked (x) and then add the tips

 so it would be A. 8.25x+30

Answer:

Its b and can you give me the brainlist

Step-by-step explanation:

Final answer:

The probability of drawing two chips from an urn numbered 1 through 6 such that their sum is 5 is 4/15, since there are four favourable outcomes (1,4), (2,3), (3,2), and (4,1) out of the total 15 possible combinations.

Explanation:

The question involves calculating the probability of drawing two chips from an urn, each numbered 1 through 6, such that their sum equals 5. To solve the problem, let's consider all possible combinations of two different chips that can be drawn at random:

There are 4 favourable combinations that result in a sum of 5. As each chip can be drawn only once, the total number of pairs can be given by the combination formula C(n, k) = n! / (k!(n-k)!)), where n is the total number of chips and k is the number of chips drawn. In this case, C(6, 2) = 6! / (2!4!) = 15, and so there are 15 possible pairs that can be drawn from our urn.

Therefore, the probability of getting a sum of 5 is the number of favourable outcomes divided by the total number of outcomes, which is 4 favourable combinations divided by 15 possible combinations, resulting in a probability of 4/15.

Translation involves changing the position of a function.

The equation that represents the new function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]

The parent function is given as:

[tex]\mathbf{g(x) = |x|}[/tex]

The rule of translating a function down is:

[tex]\mathbf{(x,y) \to (x,y-h)}[/tex]

Where: h is  the number of units translated down

i.e. h = 7

So, we have:

[tex]\mathbf{g'(x) = g(x) - h}[/tex]

Substitute [tex]\mathbf{g(x) = |x|}[/tex]

[tex]\mathbf{g'(x) = |x| - h}[/tex]

Substitute 7 for h

[tex]\mathbf{g'(x) = |x| - 7}[/tex]

Hence, the required function is: [tex]\mathbf{g'(x) = |x| - 7}[/tex]

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The equation that represents the given situation is g(x) = |x|-7

To write an equation that represents a vertical translation 7 units down of the graph of g(x) = |x|, we need to modify the original function accordingly.

A vertical translation can be represented by adding or subtracting a constant to the function. In this case, since we are translating the graph downward by 7 units, we subtract 7 from the original function:

g(x) = |x| - 7

Thus, the equation that represents this vertical translation is g(x) = |x| - 7.

This results in each point on the graph of g(x) = |x| shifting 7 units downward, creating the new graph of g(x) = |x| - 7.

The geometric formula for the radius of a circle to its area will be;

A = πr²

Where, A is area of circle , r is radius of circle.

What is Circle?

Circle is a closed two dimensional figure in which the set of all points in the plane is equidistance from the center of circle.

Let radius of a circle = r

And, Area of a circle = A

Then, The geometric formula for the radius of a circle to its area will be;

A = πr²

Thus, The geometric formula for the radius of a circle to its area will be;

A = πr²

Where, A is area of circle , r is radius of circle.

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Neither statement alone is sufficient to determine the area of the trapezoid.

The area of a trapezoid can be found using the formula:

Area = (1/2) * (sum of parallel sides) * height

To find the area of the trapezoid, we need the lengths of the parallel sides and the height.

(1) The given angle does not provide information about the lengths of the sides, so it is not sufficient to find the area.

(2) The perimeter of the trapezoid does not directly give information about the lengths of the sides, so it is also not sufficient to find the area.

Therefore, neither statement alone is sufficient to determine the area of the trapezoid.

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Answer:

The correct option is D) [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

we need to find sin 30° with the reference of provided figure

Since, [tex] sin\theta=\frac{perpendicular}{hypotenuse}[/tex]    .....(1)

In fig , perpendicular is 1 and hypotenuse is

now put [tex]\theta=30\degree[/tex] in (1)

[tex] sin\theta=\frac{1}{2}[/tex]

Hence, The correct option is D) [tex]\frac{1}{2}[/tex]

Answer:

A garbage truck

Step-by-step explanation: