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Margaret [11]
4 years ago
6

Simplification of the expression (xyz^2)^4.

Mathematics
1 answer:
Over [174]4 years ago
7 0
<span>(xyz^2)^4 = x^4 y^4 x^8
Hope it helps</span>
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Look at the file below! Thank you!
rosijanka [135]

Answer:

15.3

Step-by-step explanation:

throu the table we know that she earn (20.40-10.20=10.20)for every two hours

so 1 hour will be 10.20/2=5.1

3 hour: 10.20+5.1=15.3

3 0
3 years ago
Quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7
Arlecino [84]
The quadratic function in vertex form is:

y = a(x - h)^2 + k

Where:

vertex = (h, k)
Axis of symmetry: x = h

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.

Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:

Use vertex = (-4, -1) and y-intercept, (0, 7):

7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1

Add 1 to both sides:

7 + 1 = a(16) - 1 + 1
8 = 16a

Divide both sides by 16 to solve for “a”:

8/16 = 16a/16
1/2 = a

Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:

The quadratic equation in vertex form is:

y = 1/2(x + 4)^2 - 1


Please mark my answers as the Brainliest, if you find my explanations/solution helpful :)

5 0
3 years ago
Point A is at (-2,4) and point C is at (4,7). Find the coordinates of point B on AC such that the ratio of a B to a C is 1:3
Diano4ka-milaya [45]

Answer:

[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]

[x=\frac{4-6}{4}, y=\frac{7+12}{4}]

[x=\frac{-2}{4}, y=\frac{19}{4}]

[x=-0.5, y=4.75]

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

Step-by-step explanation:

We have been given that point a is at   (-2,4) and point c is at   (4,7) .

We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.

We will use section formula to solve our given problem.

When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:

[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]

\texttt{Let point} (-2,4)=(x_1,y_1) \texttt {and point} (4,7)=(x_2,y_2).

[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]

[x=\frac{4-6}{4}, y=\frac{7+12}{4}]

[x=\frac{-2}{4}, y=\frac{19}{4}]

[x=-0.5, y=4.75]

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

5 0
3 years ago
Suppose there are 30 people at a party. do you think any two share the same birthday? let's use the random-number table to simul
Arlecino [84]
In this question, you are asked the probability for any of the 30 person to have the same birthday. To answer this it will be easier to calculate how much the probability for no one has same birthday. Let say the first person birthday is 1. Then the next person birthday should be other than 1, which mean 364 possible days out of 365 days. The next person should be 363 possible days out of 365 days
Then the calculation for 30 people would be:   

(365!/365-30!)/(365^(30)= (365!/335!)/ 365^30=  29.4%
Then the probability of at least two person have same birthday would be: 100%-29.4%= 70.6%
4 0
3 years ago
Read 2 more answers
If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the secand flip. And a
DENIUS [597]

Answer:

Probability of getting {THT} is 0.125

Step-by-step explanation:

Since 3 fair coins are tossed  we can get the sample space for the experiment.

Sample space of the experiment = {HHH, HHT, HTT, HTH, TTH, THH, THT, TTT}

As per question ,

Getting Tail , Head, Tail is a success so all other events other than {THT} is a failure.

Therefore probability of getting {THT} = \frac{1}{8} = 0.125

3 0
4 years ago
Read 2 more answers
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