Find the LCM of 14 and 18 using prime factorizations.

The value of ab^2 in simplified form is -1

Given the following expressions:

We are to evaluate the expression [tex]ab^2[/tex]

Substitute the given parameters into the formula to have:

[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]

Hence the value of ab^2 in simplified form is -100x

Learn more on exponential functions here: https://brainly.com/question/12940982

Answer:

  x = 30

Step-by-step explanation:

a) The sum of the angles along the line is 180°. That means ...

   2x° +90° +x° = 180°

__

b) Subtracting 90° and dividing by 3° gives ...

  3x° = 90°

  x = 30

Answer:

a) supplamentary angles b) X= 30

Step-by-step explanation:

A) Equal to 180 b) 90 divided by 3 gives you 30

Answer:

A

Step-by-step explanation:

84 / 0.75 = 112

112 x 0.75 = 84

Answer:

Its A

Step-by-step explanation:

Answer:

-14/9, -14

Step-by-step explanation:

y = -9x - 14

For x intercept, replace y with 0 and solve.

0 = -9x - 14

14 = -9x

-14/9 = x

- 1 5/9 = x

For y intercept, replace x with 0 and solve.

y = -9(0) - 14

y = -14

Answer:

$261.82 per 180 gallon of oil tank.

Step-by-step explanation:

set a proportion;

400 x

------ = -----

275 180

180/275 = 0.6545454545454 x 400

= 261.81818181816

round the the nearest hundredth

Answer:

y=15

Step-by-step explanation:

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

Answer: the answer is 12

Step-by-step explanation: trust me

The LCM of 2,3, and 4 is 12.

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.

The given numbers are 2,3 and 4.

The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.

The lowest number that can be divisible by 2,3 and 4 is 12.

Therefore, the LCM of 2,3, and 4 is 12.

Learn more about LCM:
https://brainly.com/question/20739723

#SPJ2

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( − 3 , − 8 )

Equation Form:

x =- 3 , y = − 8

Step-by-step explanation:

Answer:

That is very true and should be added

20x=400-100

20x=300

x= 300/20

15 rounds she played

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

Step-by-step explanation:

area of ∆ is 10in².

hope this helps you.

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

[tex] \: \: \: \: \: \: \: [/tex]

[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Answer:

hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2

Step-by-step explanation:

Answer:

x-intercept(s):  

4,0

y-intercept(s):  

0,8

Step-by-step explanation:

Answer:

to confusing

Step-by-step explanation:

Answer:

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

Step-by-step explanation:

Answer:

  P = 29 units

Step-by-step explanation:

Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...

  A = 1/2bh

  36 = 1/2(2h)(h) = h²

  h = √36 = 6

  base = 2h = 12

The base of the isosceles triangle is 12 units, and its height is 6 units.

__

The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...

  s = √(6² +6²) = 6√2

Then the perimeter of the triangle is ...

  P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29

The perimeter of the triangle is about 29 units.

_____

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.

For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.

AtQ

[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]

[tex]\\ \rm\hookrightarrow x^2=36[/tex]

[tex]\\ \rm\hookrightarrow x=6[/tex]

Apply Pythagorean theorem

[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]

Perimeter

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/5245372

Answer:

The answer to this is 10 visits.

Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.

From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.

Based on the information given, the equations to solve the question will be:

9p + 8s = 153 ..... i

2p + 6s = 72 ..... ii

Multiply equation i by 2

Multiply equation ii by 9.

18p + 16s = 306

18p + 54s = 648

Subtract the equations

38s = 342

s = 9

Since 2p + 6s = 72

2p + 6(9) = 72

2p + 54 = 72

2p = 72 - 54.

2p = 18

p = 18/2 = 9

They're both $9 each

Learn more about equations on:

https://brainly.com/question/25678139

They would meet 30 times after 10 minutes.

Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:  

Therefore, they would meet 30 times after 10 minutes.

Learn more about maths in https://brainly.com/question/25849676

Answer:

c=$214.28

Step-by-step explanation:

Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations

c=0.75p --- c=0.75(285.7)= 214.275-- 214.28

c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28

either way its the same, just plug it into one or the other

[tex]\huge\boxed{Hello! :)}[/tex]

We plot the point (-5,0) on the coordinate plane.

Then, we reflect it over the y-axis.

Remember the rule:

Let's use this rule now.

We reflect (-5,0) over the y-axis.

(-5,0)

The new point is: (5,0)

[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]

(Option D)

[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]

Answer:

y=-4/5x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-6)/(10-(-5))

m=-12/(10+5)

m=-12/15

simplify

m=-4/5

y-y1=m(x-x1)

y-6=-4/5(x-(-5))

y-6=-4/5(x+5)

y=-4/5x-20/5+6

y=-4/5x-4+6

y=-4/5x+2

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)