Create a fraction with a denominator of 100 that is equivalent to 2/10

Answers

Answer 1

Answer: A fraction with a denominator of 100 that is equivalent to 2/10 is 20/100. This is so because 10 x 10=100 and 2 x 10=20.

Answer 2

Answer: 20/100 is the answer

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2 PointsWhat is the vertex of the graph of the function below?
y = x2 + 10x + 24
O A. (-4,-1)
O B. (-5, -1)
O C. (-5,0)
O D. (4,0)
SUBMIT

Answers

$\bf \textit{vertex of a vertical parabola, using coefficients} \n\n y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{+24} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \n\n\n \left( -\cfrac{10}{2(1)}~~,~~24-\cfrac{10^2}{4(1)} \right)\implies (-5~,~24-25)\implies (-5~,~-1)$

Final answer:

The vertex of the quadratic function y = x² + 10x + 24 is located at point B. (-5, -1). This is found by using the formula -b/2a for the x-coordinate and substituting the x coordinate into the function for the y-coordinate.

Explanation:

The vertex of a quadratic function (a function in the form of y=ax²+bx+c) is the point that represents the minimum or maximum of the function graph. In this case, we are looking to find the vertex of the function y = x² + 10x + 24. The formula to find the x-coordinate of the vertex of a quadratic function is -b/2a. In this function, a = 1 and b = 10, giving us -10/(2*1) = -5 for the x-coordinate of vertex. We then substitute -5 into the function for x to determine the y-coordinate, resulting in y = (-5)² + 10*-5 + 24 = -1. Therefore, the vertex of the function is (-5,-1). So, the correct choice is B. (-5, -1).

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50 POINTS! Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w? Round the magnitude to the thousandths place and the direction to the nearest degree.

Answers

Answer:

C) 48.786, 152°

Step-by-step explanation:

To add the vectors u, v and w, we first need to rewrite each vector in component form (where vectors are represented using the unit vectors i and j along the x and y axes).

The (x, y) components of a vector, given its magnitude (r) and direction (θ), are (r cos θ, r sin θ), where θ is measured in the anticlockwise direction from the positive x-axis.

Every vector in two dimensions is made up of horizontal and vertical components, so any vector can be expressed as a sum of i and j unit vectors. Therefore, the i + y form of a vector is:

(r cos θ) i + (r sin θ) j

So, the component form of the given vectors are:

$\mathbf{u}=80 \cos 230^(\circ)\textbf{i}+80 \sin 230^\circ}\textbf{j}$

$\mathbf{v}=60 \cos 120^(\circ)\textbf{i}+60 \sin 120^\circ}\textbf{j}$

$\mathbf{w}=50 \cos 40^(\circ)\textbf{i}+50 \sin 40^\circ}\textbf{j}$

Sum the vectors:

$\mathbf{R}=\mathbf{u}+\mathbf{v}+\mathbf{w}\n\n\mathbf{R}=(80 \cos 230^(\circ)+60 \cos 120^(\circ)+50 \cos 40^(\circ))\textbf{i}+(80 \sin 230^\circ}+60 \sin 120^\circ}+50 \sin 40^\circ})\:\textbf{j}\n\n\mathbf{R}=-43.1207866\:\textbf{i}+22.8173493\:\textbf{j}$

$\textsf{For a vector\;\;$\mathbf{a} = x\mathbf{i} + y\mathbf{j}$, its magnitude is\;\;$||\mathbf{a}|| = √(x^2+y^2)$.}$

Calculate the magnitude of the resultant vector ||R||:

$\mathbf{||R||}=√((-43.1207866)^2+(22.8173493)^2)\n\n\mathbf{||R||}=48.7855887...\n\n\mathbf{||R||}=48.786$

The direction θ can be found by finding the angle with the horizontal, which is given by:

$\boxed{\theta=\tan^(-1)\left((y)/(x)\right)}$

As the resultant vector is in quadrant II (since the i component is negative and the j component is positive), we need to add 180° to the value of tan⁻¹(y/x). Therefore:

$\theta=\tan^(-1)\left((22.8173493)/(-43.1207866)\right)+180^(\circ)$

$\theta=-27.8855396+180^(\circ)$

$\theta=152.114460^(\circ)$

$\theta=152^(\circ)\; \sf (nearest\;degree)$

Therefore:

Magnitude = 48.786
Direction = 152°

The answer is c :48.786; 152°

how far can your little brother get if he can travel at 2.5 minutes per second and in 5 seconds u will discover that his squirt gun has ran out of paint.

Answers

if 2.5 meters per second
5 seconds so
5 times 2.5=12.5 meters

PLEASE HELP ME ANYONE PLEASE HELP I HAVE 15 MI NUTES

Answers

The answer is A, guess I am a bit late to tell you that though. let me explain why the answer is A. A is the only point that would not be in the blue section. All the other points listed would be in the blue section. If you would like further explanation just ask :)

If you have 24 25 26 And 28 what is the mean

Answers

The mean is 82 cause you add all of them 24+25+26+28 and get 103. 103/4 cause you got 4 numbers and get 82.

when you add all the numbers together you get 103 and then because there are four numbers you divide 103 by 4 and get 25.75

if a label of can of soup were cut off and laid flat, which expression would give you area, a, of the label with measurements shown

Answers

Answer:

Area =2 X Pie X height X radius

Step-by-step explanation:

I don't have the measurements, but the lqbel would be a rectangle so you need to find its length and height (the length being the circumference of the can and the height being the height of the can)

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