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

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.

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.

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 %

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

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.

Answer:

x = 8, 16

Step-by-step explanation:

x + 4 = 12

x = 12- 4

x = 8

x - 4 = 12

x = 12 + 4

x = 16

Answer:

a

Step-by-step explanation:

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

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.

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:

Answer:

87108

Step-by-step explanation:

854 x 102

= 854 x ( 100 + 2 )

= 854 ( 100 ) + 854 ( 2 )

= 85400 + 1708

= 87108

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

Answer:

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

184*88=16,192

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

Answer:

B

Step-by-step explanation:

i did the test and it was correct, ur welcome

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.

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

Answer:

33

a2+b2 =c2

a2+ 33 squared = 55 squared

a + 1936 = 3025

3025-1936=1089

square root of 1089 is 33

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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 !!!!!!!!!!

Answer:

2x+3y

Step-by-step explanation:

4x + 3y - 2x

Combine like terms

4x-2x    +3y

2x     +3y

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.

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

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

Answer:

84

9 choose 3

Step-by-step explanation:

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]

Answer:

f(t) = -16t²+64t

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

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.

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