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3 years ago

Help!! Express -0.4 as a fraction in simplest form.

Mathematics

1 answer:

charle [14.2K]3 years ago

6 0

$\tt{Hey~there!$

$\tt{Let's~write~-0.4~as~a~fraction~in~simplest~form.$ $\tt{In~order~to~do~that,~you~have~to~the~right~of~the~decimal~over~10.~Then,~you~have~to$ $\tt{reduce.$

$\tt{-0.4\rightarrow\frac{-2}{5}$

$\boxed{\tt{\frac{-2}{5}}}$

$\tt{Hope~this~helps!$

$\boxed{\tt{-TestedHyperr}}$

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Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a

geniusboy [140]

$(\sqrt[5]{x^{7}})^{3}=(x^{\frac{7}{5}})^{3}=x^{\frac{7\cdot3}{5}}=x^{\frac{21}{5}}$

The root is equivalent to a fractional power with that number as the denominator. Otherwise, the rules of exponents apply.

7 0

3 years ago

8) through: (-3, -2), perp. to y = x – 1 A) y=-5x – 1 B) y=-4x – 5 C) y=-x – 5 D) y=-5x – 4

nexus9112 [7]

Answer:

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

Solution:

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

$\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1$

We know that, product of slopes of perpendicular lines is -1.

So, 1 $\times$ slope of perpendicular line = -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

$\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)$

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0

3 years ago

A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.

Darina [25.2K]

V=hpir^2

tricky, they didn't give us radius
they just gave circiufmerece

c=2pir
25.12=2pir
divide by 2 both sides
12.56=pir
divide by 3.14 both sides
4=r

subsitutet

v=hpir^2
v=66pi4^2
v=66pi16
v=1056pi
v=3315.84 cubic inches

4 0

3 years ago

Match the following exponential functions with their "b" value.

marishachu [46]

9514 1404 393

Answer:

in order by function: 0.6, 8, 7/3, 2, 1/2

Step-by-step explanation:

The functions are given in the form ...

f(x) = a·b^x

The "b" value is the value immediately to the left of the exponent. (It's not rocket science; it's pattern matching.) Note that the minus sign in g(x) is part of 'a', not part of 'b'.

From the top-down, the functions listed on the left have the b-values shown above.

4 0

3 years ago

1) Write an equation in slope-intercept form of the line with slope of 6 and y-intercept of -3. Then graph the line. 2) Write an

asambeis [7]

Answer:

An equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

Here we have a slope of 6 and a y-intercept of -3

Then the equation is:

y = 6*x - 3

Now we want to graph this.

To graph it, we first need to find two points (x, y) that belong to this equation, then we can graph the points, and connect them with a line.

To find the points, we evaluate in two different values of x.

x = 0

y = 6*0 - 3 = -3

Then we have the point (0, -3)

x = 1

y = 6*1 - 3 = 3

Then we have the point (1, 3)

The graph of this line can be seen in the image below (the red one)

b) Similar to before, here the slope is -3/5, then the equation is something like:

y = (-3/5)*x + b

Now we also know that the line passes through the point (-10, 8)

This means that when x = -10, we must have y = 8

Replacing these two in the equation we get:

8 = (-3/5)*-10 + b

8 = 6 + b

8 - 6 = 2 = b

Then this equation is:

y = (-3/5)*X + 2

The graph can be found in the same way as before, the graph of this function can also be seen in the image below (the green one)

6 0

3 years ago