• Jamie is constructing shipping containers for a sporting goods store. The containers are to be rectangular prisms.

The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is

NeX [460]

S(t) = -4.9t^2 + 19.6t + 24.5

when it reaches the ground s(t) = 0

so we have -4.9t^2 + 19.6t + 24.5 = 0

solve this for t:-

-4.9(t^2 - 4t - 5) = 0

(t + 1)(t - 5) = 0

so required time t = 5 seconds

answer 5 seconds

5 0

1 year ago

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Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equa

aleksley [76]

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.

Explanation:

The first equation is,

$10+y=5x+x^2$

In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.

The second equation is,

$5x+y=1$

In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.

Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.

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1 year ago

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The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?

Alecsey [184]

Answer:

D

Step-by-step explanation:

Whole numbers are the basic counting numbers: $0,\ 1,\ 2,\ 3,\ 4, \....$

Integers are whole numbers and negative numbers: $...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...$

Rational numbers are all fractions $\frac{m}{n},$ where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number $\pi$ is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number $\pi$ is irrational number $-2\pi$

Correct option - option D

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1 year ago

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The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of

anzhelika [568]

We have been given that the slope-intercept form of a linear equation is $y = mx+b$ , where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis. We are asked to solve the equation for slope.

First of all, we will subtract 'b'from both sides.

$y-b= mx+b-b$

$y-b= mx$

Let us switch the sides:

$mx=y-b$

Now we will divide both sides by x.

$\frac{mx}{x}=\frac{y-b}{x}$

$m=\frac{y-b}{x}$

Therefore, the value of m is $\frac{y-b}{x}$ .

7 0

1 year ago

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,

RSB [31]

You ended without giving the values, so we can't get the exact answer. However, I can tell you steps.

First, you need to find the z-score. Then, look up the z-score on a normal distribution table and you will get the percent.

Let's call your value X. Just plug X into the equation below and you will have your z-score.

(x - 20.5) / 3.5 = z

Now, look up the z-score and you will have your probability.<span />

8 0

1 year ago