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Irina-Kira [14]

3 years ago

5

Please help. 15 points. Show all work. Thank you.

1 answer:

Georgia [21]3 years ago

4 0

Surface = 2 x PI x r x H + 2 x PI x r^2

= 2 x r x h + 2 x r^2

= 2 x 6 x 12 + 2 x 6^2

= 144 + 72
= 216 PI in^2
Answer is A

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Kathleen, Penny, and Megan all order 12-ounce smoothies. After 5 minutes, Kathleen still has 3/4 left, Penny has 5/6 left, and M

____ [38]

Penny has the most left of her smoothie
you have to find the common denominator(number that all of the denominators are divisible into.
the common denominator is 24
convert all the fraction accordingly
Kathleen has 9/24 smoothie
penny has 20/24 smoothie
megan has 15/24 smoothie<span />

4 0

3 years ago

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

3 years ago

A speeding car passes a cop going 55 miles per hour. Ten seconds later, the

Deffense [45]

Answer:

-2.5

Step-by-step explanation:

Acceleration; v1-v0/t

v1=55

vo=35

t=10

25/10=2.5

6 0

3 years ago

The correct simplification of (7x3y3)2.

anyanavicka [17]

<span>49 x^6 y^6
Assuming the 2 is an exponent.
I had the same question.
Just square </span>everything.
Ex. 7^2 = 49

Brainiest would be nice.

7 0

3 years ago

Read 2 more answers

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

vivado [14]

Answer: (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = $\left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6$

y = 6.8

3 0

3 years ago