Is 3.4 a real number

1. A newspaper headline claims: "Apple spends far less on Research & Development

aleksklad [387]

Answer:

Step-by-step explanation:

a)

The mistaken assumption is that Apple spends "far less" on Research and Development than any of its rivals.

b)

The assumption is incorrect because it took cognizance of the percentage used, and not the actual money spent. In truth, Apple generates far more income than the other two rivals. With Apple generating over $100bn in the said time span, and Google generating $37bn. At the end of the day, Apple spends $2.1bn on Research and Development, while Google spends $5.3bn on the same. This is quite close than the quoted distance of 14% - 2%

c)

Yes, I think so. But only when the 3 companies generate almost the same revenue.

5 0

3 years ago

Parallel Lines and Paris of Angles

Sedaia [141]

Answer:

The explanation on how to do them is down below. If you have anymore questions pls feel free to ask

Step-by-step explanation:

So for number one you just need to state the sentence under the lines back wards but starting Lines m and n......

For number two name two angles that are inside the parallel lines and for three the opposite name two that are basically verticle outside of the parallel lines.

For number four they are across from each so they are verticle and since they are verticle they are concurrent so the m of 2 is 125.

In number 5,4 and 7 are corresponding so the are equal.

In number 6 the angles are alternate interior so they are congruent.

In number 7, the angles are corresponding so they are congruent.

In number 8, the angles are alternate exterior so they are congruent.

In number 9, the angles are are verticle so the are congruent.

In number 10, the answer is supplementary because on the top and bottom they add up to 180 degrees. And it part b 2 and 3 are adjacent and supplementary, so you subtract 119 from 180 and you get 61.

8 0

2 years ago

Read 2 more answers

The original price of a jacket is $68. The sale price is 30% off the original price. What is the amount off the original price?

Damm [24]

$47.60 ends up being the sale price. Now subtract Or. price $68 and sale price $47.60 wich ends being the difference and is your answer $20.40

7 0

4 years ago

Read 2 more answers

50 points

adell [148]

Answer:

28

Step-by-step explanation:

63/9=7

7*4=28

4 0

3 years ago

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

so

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

so

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

3 years ago