Simplify...... <br> (U^2)^3

What are the solutions to the equation (x – 2)(x + 5) = 0?

Ray Of Light [21]

Answer:

(2,-5)

Step-by-step explanation:

8 0

2 years ago

The Gotemba walking trail up Mount Fuji is about 9 kilometres (km) long. Walkers need to return from the 18 km walk by 8 pm. Tos

worty [1.4K]

Answer:

He must start his journey by 11 AM

Step-by-step explanation:

Speed of Toshi while walking up the mountains is 1.5 kilometres per hour

Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour

Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours

Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours

He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance

Thus, He must start his journey by 11 AM

3 0

3 years ago

find a function whose second derivative is y''=12x-2 at each point (x,y) on its graph and y=-x+5 is tangent to the graph at the

pogonyaev

Start by integrating y'' twice to get function y(x).

$y' = \int (12x - 2) dx = 6x^2 -2x + c \\ \\ y = \int (6x^2 -2x+c )dx= 2x^3-x^2 +cx+d$

Next find value of coefficients 'c' and 'd' using the given tangent line
The slope of tangent line is equal to y' when x=1.

$6x^2 -2x+c = -1, x = 1 \\ \\ 6-2+c = -1 \\ \\ c = -5$

The tangent line intersects the curve y(x) when x = 1.
If x = 1, then y = 4 (From y =-x+5)

$y = 2x^3 -x^2-5x +d , x = 1, y = 4 \\ \\ 2-1-5+d = 4 \\ \\ d = 8$

Final Answer:
$y = 2x^3 -x^2 -5x+8$

3 0

3 years ago

11. Use the following information for problems a-b. The table shows the results of a school lunch survey. In the

Bas_tet [7]

Using it's concept, the probabilities are given as follows:

a) C. 7/20.

b) D. 15/22.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

For item a, we have that there are 60 students with no curfew, and of those, 21 have no chores, hence the probability is given by:

p = 21/60 = 7/20

Which means that option C is correct.

For item b, we have that there are 66 students with no shores, and of those, 45 have a curfew, hence the probability is given by:

p = 45/66 = 15/22

Which means that option D is correct.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0

1 year ago

Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen mos

podryga [215]

Answer:

She have 345$ in her account.

Step-by-step explanation:

Given that,

Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon

Suppose, her savings account balance can be shown with the following expression:

75 + 25w + 35m

If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.

We know that,

When the numbers appear with variables it called coefficients.

When the numbers appear without variables it called constant.

Alphabets in an expression are called variables.

According to question,

25 and 35 are the coefficients and the number 75 appear without variables.

We need to calculate the balance in her account

Using expression

$75 + 25w + 35m
$

Put the value in the expression

$75+25\times8+35\times2$

$=345$$

Hence, She have 345$ in her account.

3 0

3 years ago

Simplify...... (U^2)^3