In the image shown, line n is a transversal cutting parallel lines l and m.

3.305 + 1.7 what's the sum? Also more questions are coming just doing a test

Paraphin [41]

3.305

+1.7

5.005

Line up the decimal points and add like you usually would add.

5.005 is the answer.

5 0

3 years ago

Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. H

lord [1]

Answer: $1\dfrac13$ cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

$\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

$x_1=\dfrac13\$ , $y_1=\dfrac34$ , $y_2=3$

Put these values in an equation we get

$\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13$

Hence, he needs $1\dfrac13$ cups of pineapple juice .

8 0

3 years ago

The graph below shows a line segment MN: graph of line MN going through ordered pairs negative 2, 3 and 1, negative 3 Which of t

Katyanochek1 [597]

The line segment goes through (-2,3) and (1,-3).

The slope of the line is
$\frac{-3-3}{1-(-2)} = \frac{-6}{3} =-2$

Therefore the equation of the line segment is of the form
y = -2x + b

Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1

Answer: The equation is y = -2x - 1

8 0

3 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su

RideAnS [48]

This is the simplest form $4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})$ .

<h2>Exponent</h2>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

$\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )$ is an expression.

<h3>How to make it simple?</h3>

$\rm 2\sqrt{8x^3} * (3\sqrt{10x^4} - x\sqrt{5x^2} )$

On simplifying, we have

$\rm 4\sqrt{2} (x)^{\frac{3}{2}} * ( 3\sqrt{10} x^2 - \sqrt{5} x^{\frac{3}{2}})\\\\24\sqrt{5} x^{\frac{7}{2}} - 4\sqrt{10}x^3\\\\4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2} )\\$

This is the simplest form $4\sqrt{5}x^3(6\sqrt{x} -\sqrt{2})$ .

More about the exponent link is given below.

brainly.com/question/5497425

7 0

2 years ago

two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu

Svetach [21]

Answer:

92

Step-by-step explanation:

Since the sum of the two numbers is 5, we can represent one of them by x and the other by 5-x. Then the desired product is ...

x²(5-x)³

A graphing calculator can show the extreme values of this on the interval 1 ≤ x ≤ 4. The maximum is 108 at x=2; the minimum is 16 at x=4.

The difference between the maximum and minimum is 108-16 = 92.

_____

If you like, you can take the derivative and set it to zero.

f(x) = x²(5 -x)³

f'(x) = 2x(5 -x)³ +x²(-3)(5-x)² = x(5 -x)²(2(5-x) -3x)

f'(x) = 5x(5-x)²(2-x)

This will be zero for x=0, x=5, and x=2. The points at x=0 and x=5 represent minima in the product. The values x=0 and x=5 are not in the domain of interest. The point at x=2 represents a maximum.

To find the function extremes on an interval, we need to evaluate the function where the derivative is zero, and also at the ends of the interval. So, the function values of interest are ...

f(1) = 1²·4³ = 64

f(2) = 2²·3³ = 108 . . . . product maximum

f(4) = 4²·1³ = 16 . . . . . . product minimum

The difference between the maximum and minimum is 92.

5 0

3 years ago