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xxMikexx [17]
3 years ago
12

Write this number in standard form. 5.46×105=

Mathematics
2 answers:
mixas84 [53]3 years ago
8 0

Answer:

573.3

Step-by-step explanation:

just multiply it out

Aleksandr [31]3 years ago
6 0

Answer:

5.733×10^2

Step-by-step explanation:

The question says you are to leave the answer in standard form not just only multiply which means you're to first multiply then you're supposed to bring a decimal point right after the first number and give the corresponding index which is 10^2 because you moved it twice to the left making it a positive index.

5.46×105

573.3

5.733×10^2

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A line crosses through the points (0,2) and (-10, -16) Which of the following is the slope of the line?
Elodia [21]

Answer:

  9/5

Step-by-step explanation:

The slope between the two points can be found by ...

  m = (y2 -y1)/(x2 -x1)

  m = (-16-2)/(-10-0) = -18/-10

  m = 9/5

The slope of the line is 9/5. Perhaps this is a match to choice A.

3 0
3 years ago
If the integral of the product of x squared and e raised to the negative 4 times x power, dx equals the product of negative 1 ov
Nataly_w [17]

Answer:

A + B + E = 32

Step-by-step explanation:

Given

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C

Required

Find A +B + E

We have:

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C

Using integration by parts

\int {u} \, dv = uv - \int vdu

Where

u = x^2 and dv = e^{-4x}dx

Solve for du (differentiate u)

du = 2x\ dx

Solve for v (integrate dv)

v = -\frac{1}{4}e^{-4x}

So, we have:

\int {u} \, dv = uv - \int vdu

\int\limits {x^2\cdot e^{-4x}} \, dx  = x^2 *-\frac{1}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x} 2xdx

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{x^2}{4}e^{-4x} - \int -\frac{1}{2}e^{-4x} xdx

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx

-----------------------------------------------------------------------

Solving

\int xe^{-4x} dx

Integration by parts

u = x ---- du = dx

dv = e^{-4x}dx ---------- v = -\frac{1}{4}e^{-4x}

So:

\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x}\ dx

\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} + \int e^{-4x}\ dx

\int xe^{-4x} dx = -\frac{x}{4}e^{-4x}  -\frac{1}{4}e^{-4x}

So, we have:

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} [ -\frac{x}{4}e^{-4x}  -\frac{1}{4}e^{-4x}]

Open bracket

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{x^2}{4}e^{-4x} -\frac{x}{8}e^{-4x}  -\frac{1}{8}e^{-4x}

Factor out e^{-4x}

\int\limits {x^2\cdot e^{-4x}} \, dx  = [-\frac{x^2}{4} -\frac{x}{8} -\frac{1}{8}]e^{-4x}

Rewrite as:

\int\limits {x^2\cdot e^{-4x}} \, dx  = [-\frac{1}{4}x^2 -\frac{1}{8}x -\frac{1}{8}]e^{-4x}

Recall that:

\int\limits {x^2\cdot e^{-4x}} \, dx  = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C

\int\limits {x^2\cdot e^{-4x}} \, dx  = [-\frac{1}{64}Ax^2 -\frac{1}{64} Bx -\frac{1}{64} E]Ce^{-4x}

By comparison:

-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2

-\frac{1}{8}x = -\frac{1}{64}Bx

-\frac{1}{8} = -\frac{1}{64}E

Solve A, B and C

-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2

Divide by -x^2

\frac{1}{4} = \frac{1}{64}A

Multiply by 64

64 * \frac{1}{4} = A

A =16

-\frac{1}{8}x = -\frac{1}{64}Bx

Divide by -x

\frac{1}{8} = \frac{1}{64}B

Multiply by 64

64 * \frac{1}{8} = \frac{1}{64}B*64

B = 8

-\frac{1}{8} = -\frac{1}{64}E

Multiply by -64

-64 * -\frac{1}{8} = -\frac{1}{64}E * -64

E = 8

So:

A + B + E = 16 +8+8

A + B + E = 32

4 0
3 years ago
hello loves!! I've been stuck on this question for like 2 hours lol! i need some help, ill give 100 points :)
lana66690 [7]

Answer:

61.12 units²

Step-by-step explanation:

(½ × pi × r²) + (½ × b × h)

½ [(3.14 × 4²) + (8 ×9)]

½(122.24)

61.12 units²

6 0
4 years ago
Read 2 more answers
Several different cheeses are for sale. The cheese comes in wedges
Tom [10]

Answer:

area = 39.25  cm²

Step-by-step explanation:

The top and bottom area of a cheese wedge is shaped like a sector of a circle so finding the area of the top surface of this wedge is same as applying the area of a sector.

Top surface area(sector) = ∅/360 × πr²

where

∅ = central angle

r = radius

Top surface area(sector) = ∅/360 × πr²

area = 45/360 × π × 10²

area = 1/8 × 100π

area = 100π/8

area = 100 × 3.14/8

area = 314 /8

area = 39.25  cm²

7 0
3 years ago
1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.
belka [17]

Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

6 0
3 years ago
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