which of the following is equal to the square root of 27/16

Answers

Answer 1

Answer:

Step-by-step explanation:

Prime factorize 27 and 16

27 = 3 * 3 * 3

16 = 2 * 2 * 2 * 2

[tex]\frac{\sqrt{27}}{\sqrt{16}}=\frac{\sqrt{3*3*3}}{\sqrt{2*2*2*2}}[/tex]

     

     [tex]= \frac{3\sqrt{3}}{2*2}\\\\\\=\frac{3\sqrt{3}}{4}[/tex]

Answer 2

Answer: (3√3)/4

Explanation:

√(27/16)

=(3√3)/4

Because 27 = 3²×3

And 16 = 4²

So 4 is left and one 3 goes out and one stays in

Please click thanks and mark brainliest if you like


Related Questions

find the product using suitable product 854×102 step by step explanation​

Answers

Answer:

87108

Step-by-step explanation:

854 x 102

= 854 x ( 100 + 2 )

= 854 ( 100 ) + 854 ( 2 )

= 85400 + 1708

= 87108

87108

854
102 x
——-

87108

8 and 1/3divided by 3 and 4/7

Answers

Answer:

7/3

Step-by-step explanation:

8 1/3 divided by 3 4/7

Let’s start by 8 1/3

Multiply 3 x 8 and then add 1

3 x 8 = 24 + 1 = 25

Add the denominator back

25/3

3 4/7

Multiply 7 x 3 and then add 4

7 x 3 = 21 + 4 = 25

Add the denominator back

25/7

Final Results: 25/3 & 25/7

Now we’re ready to divide!

Multiply 7 by 25

7 x 25 = 175

Multiply 3 by 25

3 x 25 = 75

Answer: 175/75

Finally Simplify

175/75 = 7/3

Final Answer: 7/3

Ravi bought 50kg rice at the rate of tk.40 per kg and sold it at the rate of tk.44 per kg. What is the percentage of profit

Answers

He paid 0.40 x 50 = 20

He sold it for 0.44 x 50 = 22

His profit was 22-20 = 2

Percentage was 2/20 = 0.10 = 10 %

Answer 10 %

Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are needed for every ounces of tooth paste

Answers

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

1 cup per 8 oz
explained : there are 48 oz of tomato paste and 6 cups of water 48 over 6 is 8 therefore per every 1 cup of water there are 8 oz of tomato paste



What is the remainder of 119 divided by 4

Answers

The remainder is three. 4 can go into 119 29 times with a remainder of three.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

The remainder when dividing 119 by 4 is 3.

We have,

To find the remainder when dividing 119 by 4, we perform the division and observe the remainder.

When we divide 119 by 4, we get:

119 ÷ 4 = 29 remainder 3

The quotient is 29, which means that 4 goes into 119 twenty-nine times without any remainder.

However, there is a remainder of 3.

Therefore,

The remainder when dividing 119 by 4 is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

If m∠ABC = 80°, what is m∠DBC? Justify your reasoning.

a- Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the
subtraction property of equality.
b- Using the Angle Addition Postulate, 20 + 80 = m∠DBC. So, m∠DBC = 100° using the
addition property of equality.
c- Using the addition property of equality, 20 + 80 = 100, so m∠DBC = 100°.
d- Using the subtraction property of equality, 80 − 20 = 60, so m∠DBC = 60°.

Answers

Answer:

a- Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the

subtraction property of equality.

Step-by-step explanation:

ABD+ DBC = ABC  by the angle addition postulate

20 + DBC =  80

Subtract 20 from each side, using the subtraction property of equality

20+DBC-20 = 80-20

DBC = 60

Which expression is equivalent to 7x , if b > 0?

Answers

Answer:  Choice C

Work Shown:

[tex]7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\[/tex]

So that's why the answer is choice C

The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.

Answer:

C.

Step-by-step explanation:

7x²×sqrt(2x⁴)×6×sqrt(2x¹²)

we see right away that as constant multiplication factor we have 7×6 = 42.

and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.

the only answer option with 84 is C.

now, to be completely sure, and to get some practice, let's look at the other parts :

sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²

sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶

=>

7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰

perfect. C is confirmed.

Singh's house the weekly consumption of milk is 6.5 liters what is their daily consumption of milk if they consume same quantity of milk every day

Answers

Answer:

Their daily consumption of milk is of 0.93 liters.

Step-by-step explanation:

Weekly consumption:

6.5 liters.

Daily consumption:

A week has 7 days.

Each day the amount consumed is the same, so the daily consumption is:

6.5/7 = 0.93

Their daily consumption of milk is of 0.93 liters.

simplify 4x + 3y - 2x

Answers

Answer:

2x+3y

Step-by-step explanation:

4x + 3y - 2x

Combine like terms

4x-2x    +3y

2x     +3y

4x+3y-2x

Like terms

4x-2x which equals 2x

So

2x+3y

?????????????????????

Answers

Answer:

[tex]g(x)=x+6[/tex]

Step-by-step explanation:

The problem gives one the following information:

[tex]h(x)=(f\ \ o\ \ g)(x)\\\\h(x)=\sqrt[4]{x+7}\\f(x)=\sqrt[4]{x+1}[/tex]

This problem now requires one to find the function ([tex]g(x)[/tex]).

The format:

[tex](f\ \ o\ \ g)(x)[/tex]

Is another way of writing a composition of a function. In essence, it indicates this operation:

[tex](f(g(x))[/tex]

This means that one has to input one function into another. In other words, substitute one function into another in place of the variable, then simplify and solve to find the new function that is derived from this operation. Since it is given that ([tex]h(x)[/tex]) is the function resulting from the composition of ([tex]f(g(x))[/tex]), an equation can be formed. Treat the evaluator ([tex]g(x)[/tex]) as another variable. Then simplify and solve the equation to find the function that represents ([tex]g(x)[/tex]).

[tex]h(x)=f(g(x))[/tex]

Substitute,

[tex]h(x)=f(g(x))[/tex]

[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]

Since both numbers are equivalent to each other when one takes the quartic root of the numbers, the numbers underneath the radical must be equivalent to each other. Therefore, one can state the following:

[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]

[tex]x+7=(g(x))+1[/tex]

Inverse operations:

[tex]x+7=(g(x))+1[/tex]

[tex]x+7-1=g(x)\\[/tex]

[tex]x+6=g(x)[/tex]

Which sets of ordered pairs show equivalent ratios? Use the grid to help you.

Check all that apply.

A: (1, 2), (2, 3), (4, 7)

B: (2, 2), (4, 4), (6, 6)

C: (3, 1), (4, 1), (5, 1)

D: (4, 1), (8, 2), (12, 3)

E: (2, 1), (4, 3), (5, 4)

Answers

Answer:

B and D

Step-by-step explanation:

in B the ratio of x/y = 1 for all pairs.

in D the ratio of x/y = 4 for all pairs.

in all other sets there are different ratios inside the set.

Answer:

The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

Step-by-step explanation:

Step 1; In order to pair up the pairs with equivalent rations, we first need to calculate the ratios for all the pairs by dividing the first value with the second value. The same procedure must be followed throughout to be able to pair them up.

Step 2; By dividing the values, the ratios are;

For (1, 2), the ratio is  = 0.5,

For (2, 3), the ratio is  = 0.6666,

For (4, 7), the ratio is  = 0.5714,

For (2, 2), the ratio is  = 1,

For (4, 4), the ratio is  = 1,

For (6, 6), the ratio is  = 1,

For (3, 1), the ratio is  = 3,

For (4, 1), the ratio is  = 4,

For (5, 1), the ratio is  = 5,

For (4, 1), the ratio is  = 4,

For (8, 2), the ratio is  = 4,

For (12, 3), the ratio is  = 4,

For (2, 1), the ratio is  = 2,

For (4, 3), the ratio is  = 1.333,

For (5, 4), the ratio is  = 1.25.

Step 3; Now we pair up the sets with the same ratios, out of these 15 pairs. The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

I hope this is right and it helps you !!!!!!!!!!

Zane wants to enlarge two of his photos to frame on his bedroom wall. He has 184 photos from rock concerts he's been to and 88 photos of city
skylines
How many possible combinations of 1 rock concert photo and 1 city skyline photo could Zane choose from?

Answers

Answer:

B

Step-by-step explanation:

184*88=16,192

WILL MARK BRAINLIEST

Which is a recursive formula for this geometric sequence?
- 3, 6, - 12, 24, ...

Answers

Answer:

Step-by-step explanation:

B

Look at the numbers below. −9.8 −5.4 1.0 14.8 Which shows the best way to add these numbers using the Commutative and Associative Properties? A. (–9.8 + 1.0) + (–5.4 + 14.8) B. (–9.8 + 14.8) + (–5.4 + 1.0) C. (1.0 + 14.8) + (–9.8 + (–5.4)) D. (1.0 + (–9.8)) + (14.8 + (–5.4)

Answers

Answer:

B

Step-by-step explanation:

i did the test and it was correct, ur welcome

solve for "X" where x±4=12​

Answers

Answer:

x = 8, 16

Step-by-step explanation:

x + 4 = 12

x = 12- 4

x = 8

x - 4 = 12

x = 12 + 4

x = 16

I hope this can help you

In a​ volcano, erupting lava flows continuously through a tube system about 15 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hour and calculate how long it takes to reach the sea.

Answers

9514 1404 393

Answer:

  30 hours

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

  time = (15 km)/(0.5 km/h) = 30 h

It takes 30 hours for the lava to reach the sea.

when A = 300, solve the equation
[tex] {x }^{2} - 40x + a = 0[/tex]

Answers

Answer:

Solution given:

a=300

and equation is:

x²-40x+a=0

when a=300

x²-40x+300=0

making it a perfect square

x²-2*20x+20²-20²+300=0

(x+20)²-400+300=0

(x+20)²=100

x+20=±10

taking positive

x+20=10

x=10-20

x=-10

taking negative

x+20=-10

x=-10-20

z=-30

when A=300

x=-10 or -30

A yoga instructor wanted to construct a 95% confidence interval for the average age of students in her yoga class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the 95% confidence interval for the population mean

Answers

Answer:

The 95% confidence interval for the population mean is between 17.9 and 20.3 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}} = 1.2[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 19.1 - 1.2 = 17.9 years.

The upper end of the interval is the sample mean added to M. So it is 19.1 + 1.2 = 20.3 years.

The 95% confidence interval for the population mean is between 17.9 and 20.3 years.

Proving the Single Opposite Side Pair Theorem
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
ZDAC
А
Statements
Reasons
B
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

9514 1404 393

Explanation:

1. AD ≅ BC, AD ║ BC . . . . given

2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem

3. AC ≅AC . . . . reflexive property

4. ΔDAC ≅ ΔBCA . . . . SAS postulate

5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC

6. AB ║ CD . . . . converse of alternate interior angles theorem

7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)

_____

We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and  parallel. YMMV

Answer:

Picture Down Below

Step-by-step explanation:

Find the value of x on this triangle

Answers

Answer:

33

a2+b2 =c2

a2+ 33 squared = 55 squared

a + 1936 = 3025

3025-1936=1089

square root of 1089 is 33

pleeeaaasssseeee mark as brainliest

Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2

Answers

Answer:

3

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2)  = g( -1) so substitute in g(x) , x with -1

g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3

A baseball is projected upward at 64 feet per second. It can be approximated by the equation -16t^2+64t. The baseball reaches it maximum height at the vertex. That can be gotten from x= −/2a . How long until the baseball reaches its full height? Note a quadratic equation can be written as ax^2+bx+c

Answers

Answer:

f(t) = -16t²+64t

t = number of secondsf(t) = height (in feet)

The x-coordinate(t) of the vertex can be found using formula [tex]\frac{-b}{2a}[/tex], where:

a = -16b = 64

Therefore the t-value of the vertex is:

[tex]\frac{-64}{2(-16)} =\frac{-64}{-32} =2[/tex]

The baseball will reach its maximum height after two seconds.

Write the equation of the line for the graph shown below.

Answers

Answer:

The answer is C

Step-by-step explanation:

y=-5x-3

Hope this helped

Answer:

I believe the answer is y = -5x -3  

Step-by-step explanation:

The formula is y=mx+b

m= rise over run

b= starting point

and seeing how the dot is on -3 I assume that the answer is y= -5x -3

also m should be in fraction form and if it isn't, you automatically put a 1 as the denominator.

A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?

Answers

Answer:

84

9 choose 3

Step-by-step explanation:

Evaluate the given expression for x = 4 and y= 3. 7x2 + 6xy + 6y?

The answer is: _____​

Answers

Answer:

104

Step-by-step explanation:

x=4 ; y=3

7×2 +6xy+6y

7×2+6(4)(3)+6(3)

14+72+18

104

Is the relationship shown by the data linear? If so, model the data with an equation.

Answers

Yes it is linear, you go up my fours in the y side and go down by two on the x side. The equation is y=2x+19

Does the graph below represent a proportional relationship?

———————————————

A. Yes, because the graph is a straight line

B. No, because it crosses the y -axis

C. Yes, because it crosses the y -axis

D. No, because the line doesn't pass through the origin, point (0,0)

Answers

The answer is A.
The reason being straight lines mean equal proportions, while curved lines are exponential or quadratic.

Answer:  D. No, because the line doesn't pass through the origin, point (0,0)

Explanation:

A direct proportional graph is always a straight line through the origin.

Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.

We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.

Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's not a direct proportion.

PLEASE HELP! much appreciated :D

Find the value of x.

Answers

Answer:

a

Step-by-step explanation:

What is the least possible degree of a polynomial that has the root -3 + 2i, and repeated root -2 that occurs twice?

4
3
2
5

Answers

Answer:

4

Step-by-step explanation:

complex roots always occur in pairs.

so roots are -3+2i,-3-2i ,-2,-2

number of roots=4

in a small town in New York, we initiated a cohort study and followed 5,900 people for a mean follow-up of 2 years. At the end of the 2nd year, none of the participants was lost to follow-up. During this follow-up, we identified 600 cases of malaria. What was the cumulative incidence?
a. 10.1%
b. 10.1 per 1,000
c. 50.8%
d. 10 cases

Answers

Answer:

Option A

Step-by-step explanation:

From the question we are told that:

Sample size n=5900

Number of newly developed cases No.C=600

Generally the equation for Cumulative Incidence is mathematically given by

[tex]CI=\frac{No.C}{n}[/tex]

[tex]CI=\frac{600}{5900}[/tex]

[tex]CI=0.101[/tex]

[tex]CI= 10.1%[/tex]

Option A

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