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3 years ago

How is 10 2/3 written as a decimal to the nearest hundred

Mathematics

1 answer:

expeople1 [14]3 years ago

6 0

Answer:

10.67

Step-by-step explanation:

The 10 stays as it is. The 2/3 is approximated by 0.67 (to the nearest hundredth). Thus, we have 10.67 to the nearest hundredth.

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Factorize the following algebraic expression:

Hoochie [10]

X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x= $\frac{ -b+\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
$\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}$ = $\frac{ -16+\sqrt{256+152} }{2}$ = $\frac{ -16+\sqrt{408} }{2}$ = $\frac{ -16+2\sqrt{102} }{2}$ = $-8+\sqrt{102}$
so the answers for x are $-8+\sqrt{102}$ and $-8-\sqrt{102}$ which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0

6 0

2 years ago

Step by step workout of ;<br> log x^3+log 5x=5 log 2-log 2/5

Charra [1.4K]

Answer:

x = 2

Step-by-step explanation:

$log \: {x}^{3} + log \: 5x = 5log \: 2 - log \: \frac{2}{5} \\ \\ \therefore \: log( {x}^{3} \times 5x) = log {2}^{5} - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log 32 - log \: \frac{2}{5} \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(32 \times \frac{5}{2} \bigg) \\ \\ \therefore \: log( 5{x}^{4}) = log \bigg(16 \times 5) \\ \\ \therefore \: 5{x}^{4}= 16 \times 5 \\ \\ \therefore \: {x}^{4}= {2}^{4} \\ \\ \huge \purple{ \boxed{\therefore \: {x} = 2}}$

4 0

2 years ago

Please someone help. Giving brainliest!!

hammer [34]

Answer:

I am pretty sure the answer is 3. hope this helps

7 0

2 years ago

Read 2 more answers

One person can do a certain job in twenty-one minutes, and another person can do the same job in twenty-eight

ivolga24 [154]

Answer: 12

Step-by-step explanation:

if there are 2 people then doing the same job then that means divide by two so 8 which is off the 28 , 8 divided by 2 is 4, then, that makes 24 , and 24 divided by 2 is 12 so the answer is 12

4 0

2 years ago

Which polynomial is twice the sum of 4x^2 – 1 + 1 and - 6x^2+ x - 4?

kap26 [50]

Answer:

Step-by-step explanation:

The sum of these two polynomials is - 2 x^2 - 3. the two x variables are additive inverses and -6 x^2 and 4 x^2 equal - 2 x^2 and -3 results from -4 and 1

Multiplying the sum by 2 gives us - 4 x^2 - 6 . Answer 3

8 0

2 years ago