Can someone simplify this expression? 14y – 5(3 – 2y) and explain how you got it.

Answers

Answer 1

Answer: you first expand the brackets so
14y-15-10y
then you put the like terms together so you do 14y-10y= 4y
4y-15 which is the answer

Answer 2

Answer: 14y - 5(3-2y)
Distribute what's in the parenthesis
14y- (15+10y)
Combine like terms
24y-15

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Factor completely 20x^3+12x^2+5x+3

Answers

I did it with an online calculator and it said x^2(25x+12). Hope that helps.

What is the correct value of log_(10)(3.5) ? Round your answer to two decimal places.

Answers

Answer: 3.5

Step-by-step explanation:

Log(10)(3.5) = 3.5

log(10)=1

1(3.5) = 3.5

Final answer:

The common logarithm, or log base 10, of 3.5 is about 0.544068. However, when rounded to two decimal places, it is 0.54.

Explanation:

The question is asking for the value of log_(10)(3.5). To find this, you would need to use a calculator that has a logarithm function. This value does not have a simple, exact decimal representation, but it can be approximated. Using a calculator, we find the common logarithm, or log base 10, of 3.5 to be approximately 0.54.

However, the question asks us to round this answer to two decimal places. So, using the rules of rounding numbers, we can round 0.544068 to 0.54.

Remember, when you're rounding numbers, if the digit after the place to which you're rounding is 5 or greater, you round up, otherwise, you round down.

Note: Before the days of calculators, we used log tables. Nowadays, we have a simple and easy way to calculate logs - calculators! If you are using a scientific or graphing calculator, there is typically a 'log' button that enables you to calculate logs at the push of a button.

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What is the x-intercept of the graph of the function f(x) = x^2 − 16x + 64?

Answers

Answer:

Step-by-step explanation:

Each week, Marcia travels to the office where she works, the supermarket, and a local fitness center. The three locations represent the vertices of a triangle. Marcia wants to move to an apartment that is equidistant from these three places. Where should her new apartment be located?

Answers

The choices are:
a.the center of the inscribed circle of the triangle
b.the center of the circumscribed circle of the triangle
c.the point of intersection of the angle bisectors for the triangle
d.the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle

The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.

b is the correct answer

What is 9.39 to one decimal place

Answers

9.4 because the number after the firs decimal point is higher than 5

Answer:

9.4 is the answer XD :)

Step-by-step explanation:

A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches, too. What is the area of each pizza? Use 3.14 for ? , and round your answers to the nearest tenth if necessary.

Answers

Answer:

Area of pizza whose longer side is of length is 14 inches = 218.5 $inches^(2)$

Area of pizza whose longer side of rectangle is 18 inches=258.5 $inches^(2)$

Area of pizza whose longer side is of length is 29 inches = 368.5 $inches^(2)$

Step-by-step explanation:

Given A pizzeria makes brick-oven pizzas that are shaped like long rectangles with semi-circles at two ends. The pizzas come in three different sizes, which are measured by the longer side of each rectangle: 14 inches, 18 inches, and 29 inches. All of the pizzas are 10 inches wide, so the semi-circles at the ends have diameters of 10 inches. we have to find the area of each pizza.

First, let us find the area of pizza whose longer side of rectangle is 14 inches

Area of 2 semicircles whose diameter is 10 inches

$=2((1)/(2)\pi r^(2))=\pi r^(2)=3.14* 5 * 5 = 78.5 inches^(2)$

Length = 14 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $14* 10=140 inches^(2)$

∴ Area of pizza whose longer side is of length is 14 inches = Area of rectangle + area of 2 semicircles

=140+78.5=218.5 $inches^(2)$

Now, let us find the area of pizza whose longer side of rectangle is 18 inches

Length = 18 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $18* 10=180 inches^(2)$

∴ Area of pizza whose longer side is of length is 18 inches = Area of rectangle + area of 2 semicircles

=180+78.5=258.5 $inches^(2)$

Now, let us find the area of pizza whose longer side of rectangle is 29 inches

Length =29 inches

Breadth = 10 inches

Area of rectangle = $length * breadth$

= $29* 10=290 inches^(2)$

∴ Area of pizza whose longer side is of length is 29 inches = Area of rectangle + area of 2 semicircles

=290+78.5=368.5 $inches^(2)$

Final answer:

To calculate the area of pizzas shaped like rectangles with semi-circular ends, we calculate the area of the rectangle and adjacent semi-circles separately then sum both. The rectangle's area is calculated as length times width while the semi-circle area is calculated as half of (pi*radius^2).

Explanation:

The area of a pizza that's shaped like a long rectangle with semi-circles at the ends can be calculated by first looking at the rectangle and then the semi-circles. For the rectangles, we use the formula for the area of a rectangle that is, length multiplied by width.

For the 14 inch pizza, the rectangle part:
Area = Length x Width = 14 x 10 = 140 square inches

The area of the semi-circle can be calculated as Area=1/2πr². The diameter is given as 10. So, the radius (r) will be half of the diameter, which is 5. Therefore, Area of each semi-circle = 1/2 x π x 5² = 1/2 x 3.14 x 25 = 39.25 square inches. The combined area of two such semi-circles will be = 39.25 x 2 = 78.5 square inches.

Adding the area for the rectangle and the semi-circles, the total area of each pizza will be 140 + 78.5 = 218.5 square inches.

Following these same steps, we can calculate the areas for the 18 inch and 29 inch pizzas.

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