Combine and simplify the following radical expression. (2^3 square root 12 times 3^3 square root 2​

Answer:

a=10

Step-by-step explanation:

distribute on both sides to get

5a-10=20+2a

add/subtract like terms

5a-2a=3a

20+10=30

so the equation is

3a=30

divide 30 by 3 and you get 10

Answer:

a = 10

Step-by-step explanation:

[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]

Answer:

V = 63.62

Step-by-step explanation:

Answer: 63.62 cubic inches

Step-by-step explanation:

REMEMBER :: VOLUME OF CYLINDER = πr^2h

r= 1.5 in.

h= 9 in.

V= π (1.5)^2 (9)

V= π (2.25) (9)

V= π (20.25)

V~63.6172512...

nearest hundredth = 63.62 cubic inches

Answer: 1.19047619048 as a fraction equals 119047619048/100000000000

Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000

Answer:

119047619048/100000000000

Step-by-step explanation:

To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000

Answer:

Facts.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

21(4) / 8

84 / 8

10.5

Answer:

14 gallons

Step-by-step explanation:

Answer:

14 gallons

Step-by-step explanation:

Answer:

y=1x-1

Step-by-step explanation:

m=y2-y1/x2-x1

-3-6=(-9)

-2-7=(-9)

-9/-9=1

6=1*7+b

1*7=7

7-7=0

6-7=-1

b=-1

y=1x-1

hope this helps :3

if it did pls mark brainliest

Answer:

see the graph below

Step-by-step explanation:

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Answer:

Domain: -2 < x ≤ 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Since domain encompasses x values only, we are looking at the x-values of the graph. We see that our x-values span from -2 to 3. However, since x = -2 is a open dot, it is NOT included in the domain. Since x = 3 is a closed dot, it IS included in the domain:

(-2, 3] or -2 < x ≤ 3

Answer:

ramen is the true answer to lifes problems  

Step-by-step explanation:

Answer:

8(x+3)

Explanation:

"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).

This is represented by 8×(x+3), which simplifies to 8(x+3).

Answer:

AE = 26 units

Step-by-step explanation:

Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.

AE = 2(AC) = 2(CE) or

AE = AC + CE

Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.

BA is congruent to DE.

Since DE = 12 units, therefore, BA = 12 units.

BC = 5 units (given)

Using Pythagorean Theorem:

AC² = BA² + BC²

AC² = 12² + 5² (substitution)

AC² = 144 + 25 = 169

AC = √169

AC = 13 units

Since ∆ABC = ∆EDC, therefore:

AE = 2(AC)

AE = 2(13)

AE = 26 units

Answer:

A'=(3,-2) B'=(-1,-4) C'=(-5,-3)

Step-by-step explanation:

90 degrees counterclockwise uses (-y,x) so you just plug in the negative y value in the x spot and the x value in the y spot

Answer:

4 × 3 - 2 × 5 = 12 - 10 = 2

2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93

Answer:

Step-by-step explanation:

The average rate of change of a function over an interval is simply the slope over the interval because:

[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]

We have to know f(6) and f(-4)

[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]

Answer:

answer is really hard and small, but I can't help because I don't know,

sorry not sorry

lol

regards,

Rosemary

Answer:

a yard stick, maybe I'm right

Answer:

a fence

Step-by-step explanation:

HAHAHA LOL

Step-by-step explanation:

[tex]( - 3 {x}^{2} - 9x) \div (x + 3) [/tex]

This is the original equation so you will open the brackets.

[tex] - 3 {x}^{2} - 9x \div x + 3[/tex]

The x will cross the division sign making it times x.

[tex]3 {x}^{2} - 9x \times x = 3[/tex]

So you will proceed to multiply the 9x by x making it;

[tex]3 {x}^{2} - 9 {x}^{2} = 3 [/tex]

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

[tex] - 6 {x}^{2} = 3 [/tex]

Then you will square root both sides making it;

[tex] - \sqrt{6 {x}^{2} } = \sqrt{3} [/tex]

So the ² will cancel the √ leaving

-6x=√3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

answer :

x = 10, x = 124

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

Learn more about Arithmetic Operations here :

https://brainly.com/question/30553381

#SPJ2

The chart is given below.

Step-by-step explanation:

Hey there!

Here;

A triangle is given with different measurements.

To find: value of p.

5 p = 2p+21° + 45° {The external angle is equal to the sum of opposite adjacent interior angles}

or, 5p - 2p = 21°+45°

3p = 66°

p = 66°/3

Therefore, the value of "p" is 22°.

Hope it helps....

Answer:

[tex]a_{n}[/tex] = 7n - 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , thus

[tex]a_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = [tex]\dfrac38x[/tex]

Dishes from Japan  = [tex]12.5\% \text{ of }x= 0.125x[/tex]

Total dishes  from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]

Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]

Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]

Hence, dishes from other countries = 50%

Answer:

2/5 simplified is 1/2.5 or .4

Step-by-step explanation:

You simplify by dividing the numerator by the denominator. Thus 2/5 is

.40.

Hope this helps!