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Alecsey [184]
3 years ago
9

Equivalent to 7^3 × 7^-2

Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0

Answer:

7

Step-by-step explanation:

7^3 * 7^-2

We know that a^b * a^c = a^(b+c)

7^(3+-2)

7^1

7

mixas84 [53]3 years ago
3 0

Answer:

<h2><em><u>7</u></em></h2>

Step-by-step explanation:

{7}^{ - 3}  \times  {7}^{ - 2}

=  {7}^{3 - 2}

= <em><u>7 (Ans)</u></em>

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A company making backpacks charges $29.99 for each backpack. It costs $6.45 to make each backpack. The company can make backpack
Ne4ueva [31]

A minimum of 220 backpacks must be produced to obtain the desired benefits.

Since a company making backpacks charges $ 29.99 for each backpack, and it costs $ 6.45 to make each backpack, and the company can make backpacks in multiples of 10 and there is $ 1,000 in fixed costs, and the company wants to make at least $ 4,000 profit each week, to determine how many backpacks should be produced, the following calculation must be performed:

  • 29.99 - 6.45 = 23.54
  • 500 x 23.54 - 1000 = 10,770
  • 250 x 23.54 - 1000 = 4.885
  • 220 x 23.54 - 1000 = 4,178.80
  • 210 x 23.54 - 1000 = 3,943.40

Therefore, a minimum of 220 backpacks must be produced to obtain the desired benefits.

Learn more in brainly.com/question/15713474

8 0
3 years ago
Read 2 more answers
If CSc<br> on the interval (270°, 360°), find tan e.
vampirchik [111]

Answer:

tan(e) x d f n

Step-by-step explanation:

6 0
3 years ago
Can you help me answer this question
r-ruslan [8.4K]
Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
\frac{\frac{A}{B} }{\frac{C}{D}}=\frac{A}{B} *\frac{D}{C}
i suggest you try to remember this concept

in terms of your question

\frac{\frac{4c-12}{4c+8}}{\frac{c-3}{c^2-4}}= \frac{4c-12}{4c+8} *\frac{c^2 -4}{c-3}

from this point, just multiple the numerators together and denominators together, then simplify if necessary

fyi- difference of squares
x^2-b^2 = (x-b)(x+b)
relating that to
c^2-4 = c^2 -2^2 = (c-2)(c+2)

also a side note, you might want to factor out the 4 first in the top fraction


4 0
4 years ago
A rugby player passes the ball 7.75 m across the field, where it is caught at the same height as it left his hand. At what angle
prisoha [69]

<u>Answer-</u>

<em>At 15.91° the ball was thrown.</em>

<u>Solution-</u>

<em>In the question it is given that the ball was released and caught from the same height.</em>

We know that,

R=\frac{u^{2}\sin 2\Theta}{g}

Where,

R = Range of the projectile = 7.75 m,

u = Initial speed = 12 m/s

θ = Angle at which it was released

g = Acceleration due to gravity = 9.8 m/s²

Putting all the values,

\Rightarrow 7.75 = \frac{12^{2}\sin 2\Theta}{9.8}

\Rightarrow \sin 2\Theta=\frac{7.75 \times 9.8}{144} =0.5274

\Rightarrow 2\theta=\sin^{-1} 0.5274=31.83 \ or \ 148.17

\Rightarrow \theta=\frac{31.83}{2} \ or \ \frac{148.17}{2} =15.91 \ or \ 74.08

\Rightarrow \theta=15.91^{\circ} \ (smaller \ angle)

3 0
3 years ago
Read 2 more answers
What is the equation of a line with slope 4 and intercept 12?
nadezda [96]

Answer:

y = 4x + 12

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = 4

y-intercept <em>b</em> = 12

<u>Step 2: Write function</u>

  1. Substitute [Form]:          y = 4x + 12
5 0
3 years ago
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