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tekilochka [14]

4 years ago

5

Convert 5.100 × 10-3 to ordinary notation. a.0.0005100 b.0.005100 c.510.0 d.5100

1 answer:

kondor19780726 [428]4 years ago

4 0

5.100 x 10⁻³ = 5.100 x 0.001
= 0.005100 (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

0.0051
---------------
1000 | 5.100
5000
-------------
1000
1000

This yields the same result.

Answer: b. 0.005100

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One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.

FromTheMoon [43]

Answer:

1.7 cm

Step-by-step explanation:

The formula to find the hypotenuse: $c^{2} = a^{2} +b^{2}$ . In this case, the hypotenus is given.

1) Substitute the values into the formula.

$2^{2} = 1^{2} +b^{2}$

2) Solve for $b$ .

$4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b$

3) Round the answer to the nearest tenth.

$1.7 = b$

4 0

2 years ago

Want 39 points?/ simple question! check image!!!!!!!!

sp2606 [1]

this is an explanation!

hope.it helped

6 0

3 years ago

Maria is buying a car for $18,510. She will finance $13,000 of it with a 3-year loan at 2.8% APR. What will her monthly auto pay

Eva8 [605]

<u>Answer-</u>

<em>Maria's monthly payment will be </em><em>$376.91</em><em> </em>

<u>Solution-</u>

Maria is buying a car worth of $18,510, but she will finance only $13,000 of it with a 3-year loan at 2.8% APR.

We know that,

$\text{PV of annuity}=P[\dfrac{1-(1+r)^{-n}}{r}]$

Here,

$\text{PV of annuity=13000},\\\\\text{P=??},\\\\\text{r = 2.8\%\ annually}=\frac{2.8}{12}\text{\%\ monthly}\\\\\text{n=3 years=36 months}$

Putting the values,

$\Rightarrow 13000=P[\dfrac{1-(1+\frac{2.8}{1200})^{-36}}{\frac{2.8}{1200}}]$

$\Rightarrow 13000=P\times 34.4909$

$\Rightarrow P=\dfrac{13000}{34.4909}$

$\Rightarrow P=376.91$

Therefore, her monthly payment will be $376.91

5 0

3 years ago

Let f(x) = 3x² + 1 and g(x) = x +4. <br><br> Find (f +g)(x) <br><br> and (f -g)(x).

Artist 52 [7]

Answer:

(f + g)(x) = 3x² + x + 5

(f - g)(x) = 3x² - x - 3

Step-by-step explanation:

(f + g)(x) → f(x) + g(x) → <u>3x² + 1</u> + <u>x + 4</u>

Combine like terms and you get: 3x² + x + 5

(f - g)(x) → f(x) - g(x) → <u>3x² + 1</u> - (<u>x + 4</u>)

Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3

6 0

2 years ago

Need help with this question, thanks.

Kazeer [188]

Answer:

AE

Step-by-step explanation:

Times 11 for all sides get

11<x+13<33

then 11<x+13

-2<x

x+13<33

x<20

so

-2<x<20

so

AE

7 0

3 years ago