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3 years ago

13

Find The Next Number 12 13 15 17 111 113 117 119 123 ?

1 answer:

Temka [501]3 years ago

5 0

<span>The Next Number is </span>129.

These are the first 10 prime numbers (2, 3, 5...) prefixed with a 1.

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A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?

tresset_1 [31]

<span>21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.</span>

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2 years ago

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4x=12+12<br>Find the value of x

stepladder [879]

Answer:

$\sf\longmapsto \: x = 6$

Step-by-step explanation:

$\sf\longmapsto \: 4x = 24$

$\sf\longmapsto \: x = 24 \div 4$

$\sf\longmapsto \: x = \: 6$

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2 years ago

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What is the solution to log (9x)-log 3 = 3?

xeze [42]

Answer:

The solution x = $\frac{e^{3} }{3}$

Step-by-step explanation:

<u>Step 1</u>:-

Given $log(9 x) -log 3 =3$

we have to use formula $log a-log b=log\frac{a}{b}$

$log(9 x)- log 3 = log(\frac{9 x}{3} )$ = $3$

Again by using formula $log a =b$

$a = e^{b}$

so $\frac{9 x}{3} =e^{3}$

<u>step 2:</u>-

$3 x = e^{3}$

$x = \frac{e^{3} }{3}$

The solution of given problem is $x=\frac{e^3}{3}$

5 0

3 years ago

Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC

e-lub [12.9K]

Answer:

$DC=\frac{8}{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

$BM^2=AB^2-AM^2$

we have

$AB=5\ units\\AM=x\ units$

substitute

$BM^2=5^2-x^2$

$BM^2=25-x^2$ -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

$BM^2=BC^2-MC^2$

we have

$BC=7\ units\\MC=AC-AM=(9-x)\ units$

substitute

$BM^2=7^2-(9-x)^2$

$BM^2=49-(81-18x+x^2)$

$BM^2=49-81+18x-x^2$

$BM^2=-x^2+18x-32$ ----> equation B

equate equation A and equation B

$-x^2+18x-32=25-x^2$

solve for x

$18x=25+32\\18x=57\\\\x=\frac{57}{18}$

Simplify

$x=\frac{19}{6}$

<em>Find the length of DC</em>

$DC=AC-2x$

substitute the given values

$DC=9-2(\frac{19}{6})$

$DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units$

8 0

3 years ago

Find all x ∈ Z satisfying each of the following equations.3x = 2 (mod 7)

Vlada [557]

Answer:

7x−3=7k,x=7k+3,k∈ℤ

Step-by-step explanation:

3x ≡ 2 (mod 7)

3 is a solution, since 3×3−2=7.

All solutions are 3+7ℤ

y=3x−2/7=3(x−3)+7/7=3(x−3)/7+1

7x−3=7k,x=7k+3,k∈ℤ

5 0

2 years ago