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lions [1.4K]
3 years ago
6

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}
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What is the square root of 55
nikitadnepr [17]

\sqrt{55 }  = 7.41.....
It is non recurring number

Hope it helps you
3 0
4 years ago
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu
Olenka [21]

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

        → (-1, 0)

Therefore, Option A will be the answer.

3 0
3 years ago
I DONT UNDERSTAND THIS I NEED HELP
musickatia [10]

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

6 0
2 years ago
Help please asap!!! thanks :))
Gnoma [55]
I think maybe the answer is probably 7. Hope this helps !!
3 0
3 years ago
A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor
Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

\hat{y} = 50.57+0.4845x

Comparing the equation to a linear equation:

y = mx + c

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0
3 years ago
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