Friend me if u can tell me exponents for 3

2 answers:

8 0

Exponents are basically multiplying the number by itself the number of times the exponent is.
For example:
3^3 = 3*3*3 which equals 27
or 3^5 = 3*3*3*3*3 = 243

Hope that this helps!

RUDIKE [14]3 years ago

5 0

exponents could be any number between 1 and 10

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Find the total surface are of the triangular prism to the nearest tenth.

Vladimir [108]

The prism's surface area is option 2. 145.3 ft².

Step-by-step explanation:

Step 1; To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides. We divide the prism into 2 triangles and 3 rectangles, find the area individually and then sum them all up in order to determine the area of the entire triangular prism.

Step 2; There are two triangles with base lengths of 9.8 ft and heights of 5.33 feet. To calculate a triangle's area we multiply $\frac{1}{2}$ with the product of the base length and it's height.

Area of 1 triangle = $\frac{1}{2}$ × 9.8 × 5.33 = 26.117 ft²

Area of both triangles = Area of 1 triangle × 2 = 26.117 × 2 = 52.234 ft².

Step 3; There are three rectangles with a common width of 3.8 feet but there are three different lengths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.

Area of rectangle with length 9.8 ft = 9.8 × 3.8 = 37.24 ft².

Area of rectangle with length 8.5 ft = 8.5 × 3.8 = 32.3 ft².

Area of rectangle with length 6.2 ft = 6.2 × 3.8 = 23.56 ft².

Step 4; The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles.

= 52.234 + 37.24 + 32.3 + 23.56 = 145.334 ft². By rounding the calculated value to the nearest tenth we get the area as 145.3 ft².

3 0

3 years ago

How do you find the asymptote of a function

inn [45]

There are two types of aymptotes; horizontal and vertical asymptote. To find asymptotes of a function, you first must know the domain and range of the given function. Let's say the function is:
$f(x) = \frac{x + 2}{x - 2}$
Horizontal Asymptote:
To find this asymptote, we have to look at the domain (or the denominator). The domain will be: x such that x is not = to 2. This is because the denominator is x-2, and if you substitute x with 2 it will be 2-2=0. But, anything divided by 0 is undefined. To find the asymptote,you take the denominator itself;
$x - 2$
$x = 2 \: will \: be \: the \: horizontal \: asymptote$
Vertical Asymptote:
To find this asymptote, we have to look at the range of the function by finding the inverse of the given function. From the given function;
$f(x) = \frac{x + 2}{x - 2}$
We now write y instead of f(x).
$y = \frac{x + 2}{x - 2}$
Now, interchange the variables.
$x = \frac{y + 2}{y - 2}$
Now,make y the subject in order to get the inverse of the function.
$x(y - 2) = y + 2$
$xy - 2x = y + 2$
$xy - y = 2x + 2$
$y(x - 1) = 2x + 2$
$y = \frac{2x + 2}{x - 1}$
The range will be x is not equal to 1, since the result will be 0, and,
Therefore, the asymptote will be obtained by looking at the denominator of the inverse of the function; i.e.
$x - 1$
$x = 1$
Now, replace x with letter y.
$y = 1 \: is \: the \: vertical \: asymptote$
Therefore, the asymptotes have been obtained.
I hope you understand the concept.
Thank you;
kaloliavivek

4 0

3 years ago

Help anyone can help me do this question 3,I will mark brainlest.

Arisa [49]

Answer:

a.20 people take both types of drink.

b.22 people drink milk only..

8 0

3 years ago

Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

oksian1 [2.3K]

9(4x-1) is equivalent to 36x+9