Mathematics High School

Simplify:
√144a^2b^4

A) 12ab
B) 12a^2b^4
C) 12ab^2
D) 12b√a

Answers

Answer 1

Answer:

Option C

Step-by-step explanation:

[tex] \sqrt{144 {a}^{2} {b}^{4} } [/tex]can be written as[tex] \sqrt{144 \times {a}^{2} \times {b}^{4} } [/tex]

[tex] = > \sqrt{144} \times \sqrt{( {a}^{2}) } \times \sqrt{( {b}^{4}) } [/tex]

[tex] = > 12 \times {a}^{ \frac{2}{2} } \times {b}^{ \frac{4}{2} } [/tex]

[tex] = > 12a {b}^{2} [/tex]

Related Questions

PLZ PLZ someone help me

Answers

Answer:

y=4/5x

Step-by-step explanation:

Y= 4/5x hope I helped :)

find the value of sin 0 in each of the following figures.

Answers

Answer:

[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:

[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]

43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5

Answers

Answer:

Step-by-step explanation:

Hihihihojohihij

Fun fact
Bananas are curved because they grow towards the sun ☀️

Answers

Answer:

true

Step-by-step explanation:

Thank you for the information, very interesting! <3

6 - 8x = 5x - 9x - 22

Answers

Answer:

x is 7 in this question...

A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
$0.65
B $0.60
$0.30
$0.70

Answers

It’s b ::::::::::::::::::0

How many square centimeters of
wrapping paper will be used to wrap the
shoe box?
14 cm
4
10 cm
10
28 cm

Answers

Answer:

1624 cm^2.

Step-by-step explanation:

2 * 10*28 + 2*14*28 + 2*10*14

= 560 + 784 + 280

= 1624 cm^2.

The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]

Calculation of the number of square centimeters:

Since

The length, width, and the height is 14, 10 and 28

So here it should be

[tex]= 2 * 10*28 + 2*14*28 + 2*10*14[/tex]

= 560 + 784 + 280

= 1624 cm^2.

Hence, The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]

Learn more about number here: https://brainly.com/question/13388163

Select the statement that is false about right triangles.
Group of answer choices

The hypotenuse is across from the right angle.

The length of the hypotenuse is equal to the sum of the area of the legs

The hypotenuse is the longest side,

The length of the hypotenuse squared is equal to the sum of the squares of the remaining two legs.

Answers

Answer:

its B hope it helps

Step-by-step explanation:

What is an equation of the line that passes through the points (-7, -7) and (-7, 4)

Answers

Answer:

x=-7

Step-by-step explanation:

y=mx+c

m=rise over run

m=0

x=-7

NEED HELP ASAP
jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number line below represents the solution to the situation

Answers

Answer:

Step-by-step explanation:

Hey ! I’m trying to find the slope. If you could help me that’ll be great thank you !!

Answers that might be:

A. 2/3
B. 1
C. 0
D. -1

Answers

Answer:

The answer is B. 1

Step-by-step explanation:

rise over run

1/1=1

Answer:

I'm pretty sure it's B. 1

Step-by-step explanation:

Because I got 2 points where the line crosses and I made a triangle joining the points

Then I did the change in y/change in x

and so I did 2/2 and got 1

hopefully that's right :)

ik this is the easiest question but who wanna do it for me?:(

Answers

Answer:

Step-by-step explanation:

This ig summermckeen

While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?

Answers

Deidra should get 33 questions correct and 12 questions incorrect if she completes a tests with 45 questions.

If the ratio of incorrect questions to total questions is 8:30, that can be simplified down to 4:15.

There are 3 15's in 45 so you need to multiply 4 by 3 to get 12 incorrect answers.

To work out the amount of correct answers, you need to take the incorrect answers away from the total questions.

Answer:

I wnat to say its 19

Step-by-step explanation:

What is 72871872672638+8298197891718989+89792797970120=

A) 8.4608626e+15

B) 3890217873487833

C) 7393299382h+9282

D) 5

Answers

Answer:

A 8.469862e+15 so that is the answer hope u get the answer cprrect

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().

Answers

Answer:

We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]

So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]

please help me with this.

Answers

1.) 1 3/4 || 14/8 || 1 21/28
2.) 21/36 || 140/240
3.) 3 || 1 24/12 || 75/25 ||2 15/15

Simplify the expression 5 to the power of 3 x 5 to the power of -5.

Answers

Answer:

5^-2

Step-by-step explanation:

5^3 * 5^-5

~Use exponent rule [ x^y * x^z = x^y+z ]

5^3+(-5)

~Simplify

5^-2

Best of Luck!

I NEED HELP WITH ALL 4 I WILL GIVE BRAINLIEST

Answers

Answer 1 8.40 precent 2 23.4% 3 16% 4 f 10%

Step-by-step explanation:

Please Help! #17, 18, 19

Answers

Answer: 17: No, the triangles are not similar.

I'm sorry, that is the best I can do, I forgot all about triangles ;-;

Step-by-step explanation:

If 36% of a number is 42, find 6% of that number.

Answers

Answer:

approx 7

Step-by-step explanation:

36% of 116 [tex]\frac{2}{3}[/tex] is 42

6% of 116 [tex]\frac{2}{3}[/tex] is 6.9999

Answer:

Step-by-step explanation:

Three times two more than some number :

Answers

Answer:

Step-by-step explanation:

Answer:

6+x

Step-by-step explanation:

3(2)+x

6+x

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.

Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.

[Figure may not be drawn to sacle]

What is DG?

12 units
17 units
34 units
51 units

Answers

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

What is a triangle?

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

= 3 × 1.8 - 2

= 2.4

Hence, the length of DG is given as 2.4 unit.

To know more about triangle click on,

https://brainly.com/question/2773823

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

Sal went to the grocery store. He bought 3 pounds of apples at $1.50 per pound,
2 boxes of cookies for $4, and 1 gallon of milk for $3.15. What is the change in the
amount of money he has?

Answers

Answer:

If each box of cookies cost $4: -15.65

If both boxes of cookies together cost $4: -11.65

Which expression is undefined?

Answers

Answer:

the answer is C

Step-by-step explanation:

you can never divide by 0

Answer:

Step-by-step explanation:

Simplify (-w^3/6)^-2
Write your answer using only positive exponents. Evaluate any numerical powers

Answers

36/w^6 is the correct answer

The simplified form of the given expression is -1/w¹.

What is a positive exponent?

A positive exponent tells us how many times to multiply a base number, and a negate

ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

The given expression is [tex](-w^{\frac{3}{6} })^{-2}[/tex]

Here, [tex](-w^{\frac{3}{6} })^{-2}[/tex]=[tex]-w^{\frac{-6}{6} }[/tex]

= -w⁻¹

= -1/w¹

Therefore, the simplified form of the given expression is -1/w¹.

To learn more about the positive exponent visit:

https://brainly.com/question/1773695.

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Is (-10, 10) a solution to this system of equations?
18x + 20y = 20
20x – 2y = 9
yes
no

Answers

Answer:

(The first system is correct but the second one is wrong)

Step-by-step explanation:

You can plug (-10,10) into these equations

a) 18(-10)+20(10)=20

-180+200=20

20=20

b) 20(-10)-2(10)=9

-200-20≠9

-220≠9

Solve for X. 67 = 18 + X

Answers

67=18+x
-18. -18
49=x

Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses

Answers

Answer:

She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hours

Step-by-step explanation:

If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:

= 90/2

= 45 mph

If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.

In 6 hours she would have traveled:

= 45 * 6

= 270 miles

In 8 hours she would have traveled:

= 45 * 8

= 360 miles

I need help understand

Answers

Answer: -18

2 1/4 = 9/4

9/4×-8/1

9×-8=-72

4×1=4

-72/4=-18

-18

I hope this helps:

Please answer this question, they said the answer has to be in fraction form or hole number

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

1 1/4 = 1.25

1.25x2=2.50

2.50 divided by 2=1.25

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Simplify: √144a^2b^4 A) 12ab B) 12a^2b^4 C) 12ab^2 D) 12b√a

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Simplify:
√144a^2b^4

A) 12ab
B) 12a^2b^4
C) 12ab^2
D) 12b√a