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RSB [31]
3 years ago
11

Which expression is equivalent to (3c)-2?

Mathematics
1 answer:
fredd [130]3 years ago
4 0

Answer:

Assuming that the notation there is meant as:

(3c)^{-2}

then the answer would be 1/(9c²)

If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2

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What is seventy divided by four?
Nataly_w [17]

Answer:

17.5

Step-by-step explanation:

17×4=68; half of 4 is 2; 68+2=70

5 0
3 years ago
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Renay has dimensions 2" x 1.5" the scale of the copy is 1" x 40 cm find the dimensions of the original painting
Afina-wow [57]
I confused ! I don't get what your trying to say please explain better !
5 0
3 years ago
I need help on this problem in math
S_A_V [24]

Answer:

  • correct answer is C
  • Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

  \dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}

__

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

  1/2(6 -x)  ⇒  3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

5 0
2 years ago
Last math question.
siniylev [52]

Answer:

<h2>y = 5x + 11</h2>

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================

\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11

5 0
4 years ago
Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
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