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Anna007 [38]
3 years ago
6

PLZ HELP ME

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

2x + 1200

Step-by-step explanation:

.5x + 300 \\ 3(.5x + 300)  = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\  \frac{2}{3} (3x + 1800) = 2x + 1200

Each new line represents the change stated in the question.

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Express your answer in simplest a+ bi form. (8+5i)(3+2i)-(4+i)(4-i)
Elanso [62]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \:(8 + 5i)(3 + 2i) - (4 + i)(4 - i)

\qquad \sf  \dashrightarrow \:[( 8 \sdot3) + (8 \sdot2i) + (5i \sdot3) + (5i \sdot2i)] -[( 4 \sdot4) + (4 \sdot - i) + (i \sdot4) + (i \sdot - i)]

\qquad \sf  \dashrightarrow \:[24+ 16i + 15i+ 10i {}^{2} ] -[16 - 4 i+ 4i - i {}^{2} ]

\qquad \sf  \dashrightarrow \:[24+ 31i+ 10 {}{( - 1)} ] -[16 - ( - 1){}^{} ]

\qquad \sf  \dashrightarrow \:[24+ 31i - 10 {}{} ] -[16  + 1{}^{} ]

\qquad \sf  \dashrightarrow \:[14+ 31i {}{} ] -[17{}^{} ]

\qquad \sf  \dashrightarrow \: - 3+ 31i {}{}

I hope you understood the procedure ~

5 0
2 years ago
You have How do you write 51,000 in scientific notation? x 10​
elixir [45]

Answer: 5.1 x 10to the fourth exponent.

4 0
4 years ago
An engineer, in an attempt to make a quick measurement, walks 100 ft from the base of an overpass
Korvikt [17]

Answer:

The distance of the overpass above the ground is approximately 26.795 ft

Step-by-step explanation:

The parameters given are;

The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft

The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°

By trigonometric ratios, we have;

Tan(\theta) = \dfrac{Opposite \, side \, to\  angle}{Adjacent\, side \, to\,  angle}

The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground

The opposite side to the 15° is the distance of the engineer from the base of the overpass

Therefore;

Tan(15°)  the height of the overpass=

length

Tan(15 ^{\circ}) = \dfrac{The \ distance \, of \, the \  overpass \ above \ ground}{100 \ ft}

The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.

6 0
3 years ago
A recipe calls for 14 of a cup of flour. Carter does not have a quarter-cup measuring cup.
zalisa [80]
Measure out 14/18 cups
4 0
3 years ago
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when latasha finished the next level of her video game she lost 70 points for each 5 targets she missed
nlexa [21]

Answer:350

Step-by-step explanation:you multiply the amount of points which is 70 times the amount of targets which is 5 so it’s 70x5=350

8 0
3 years ago
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