Find the exact value of tan2pi/3

Answer:

z = 4/3

Step-by-step explanation:

First combine the fractions -4/9 and -1/3:

-4/9 - -1*3/3*3

= -4/9 - 3/9

= -7/9

So now we have

z - 7/9 = 5/9

Now add 7/9 on both sides.

z = 12/9

Now if we simplify this further, we see that both numbers are divisible by 3. (12/3 is 4 and 9/3 is 3). So our final answer would be

z = 4/3

if you don't mind, could you please give me brainliest? thank you!

Answer:

\(\frac{4}{3}\) o r 1 \(\frac{1}{3}\)

Step-by-step explanation:

z - \(\frac{4}{9}\) - \(\frac{1}{3}\) = \(\frac{5}{9}\)  There are a couple of ways to start this.  I would like to clear the fractions, so I am going to multiple all the way through by the least common multiple of the denominators 9 and 3.  That numbers would be 9

(9)z -(\(\frac{9}{1}\))\(\frac{4}{9}\) - (\(\frac{9}{1}\))\(\frac{1}{3}\) =( \(\frac{9}{1}\))\(\frac{5}{9}\)

9z - 4 - 3 = 5  Combine like terms

9x - 7 = 5  Add 7 to both sides of the equation

9x = 12  Divide both sides by 9

x = \(\frac{12}{9}\)  Divide the top and bottom by 3

x = \(\frac{4}{3}\) o r 1 \(\frac{1}{3}\)

\(\frac{9}{1}\) x \(\frac{4}{9}\)  = \(\frac{36}{9}\) = 4

\(\frac{9}{1}\) x \(\frac{1}{3}\) = \(\frac{9}{3}\) = 3

\(\frac{9}{1}\) x \(\frac{5}{9}\) = \(\frac{45}{9}\) = 5

Answer:

B. The median, 10% trimmed mean, and 20% trimmed mean are close to each other. However, the untrimmed mean is significantly different from those values.

Step-by-step explanation:

The mean is an average of set data. The trimmed mean is similar to a mean and it is statistical measure of central tendency. This is useful estimator because it is less sensitive to outliers. The 10% trimmed mean and 20% trimmed mean is close to each but the untrimmed mean will be significantly different from these values.

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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Answer:

\(y = -\frac{5}{2}x +30\)

Situation: You start out with $30 and spend $2.50 every day on a soda.

Step-by-step explanation:

The equation of a line is y = mx + b

b = y-intercept

m = slope, rise/run

The line crosses the y axis at 30, so b is 30

Now for the slope, rise/run.

Start at 30 on the y-axis and go down to 25, that is a rise of -5. Now you are at (0, 25) on x-axis. Move right to the point (2, 25). The run is 2.

m = -5/2

The equation of the line is y = -5/2x + 30

Answer:

[0] real zeros

Step-by-step explanation:

You can use the discriminant of the quadratic formula which is b² – 4ac to determine the # of real zeros by knowing that:

Taking into account the definition of zeros of a function, the function has no real roots and its graph does not intersect the x-axis.

The function f(x) = ax²  + bx + c

with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. Then:

In this case, the function is f(x) = 3x²  + 5x + 17, where:

Replacing in the definition of discriminant:

Δ= 5²- 4×3×17

and solving you get:

Δ= 25- 204

Δ= -179

Since Δ< 0, the function has no real roots and its graph does not intersect the x-axis.

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Factor of polynomial m are 0,   6n⁴.

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.

= 30m³n⁴ - 5m⁴

= 5m³(6n⁴ - m )

let 5m³(6n⁴ - m ) = 0

       5m³ = 0

         m = 0

 6n⁴ - m = 0

      m =   6n⁴

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Answer:

\(8 \frac{3}{4} \)

Answer:

sept one

Step-by-step explanation:

Therefore, the answers for the given composite functions are:

f(g(7)) = 814

g(f(4)) = 151

f(g(8)) = 898

f(f(2)) = -4

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity.

Here,

To evaluate function compositions, we substitute the inner function into the outer function and simplify.

(a) To evaluate f(g(7)), we first find g(7):

g(7) = 7(7)^2 + 9(7) + 3 = 343 + 63 + 3 = 409

Now we can substitute g(7) into f(x):

f(g(7)) = f(409) = 2(409) - 4 = 814

(b) To evaluate g(f(4)), we first find f(4):

f(4) = 2(4) - 4 = 4

Now we can substitute f(4) into g(x):

g(f(4)) = g(4) = 7(4)^2 + 9(4) + 3 = 112 + 36 + 3 = 151

(c) To evaluate f(g(8)), we first find g(8):

g(8) = 7(8)^2 + 9(8) + 3 = 7(64) + 72 + 3 = 451

Now we can substitute g(8) into f(x):

f(g(8)) = f(451) = 2(451) - 4 = 898

(d) To evaluate f(f(2)), we first find f(2):

f(2) = 2(2) - 4 = 0

Now we can substitute f(2) into f(x):

f(f(2)) = f(0) = 2(0) - 4 = -4

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-8p-9=8-5p-9

-8p+5p=9-9+8

=3p=8

=3p÷3=8÷3

=p=2.6666

=p=2.67

Answer:

1) 55.1cm     2)149.6cm

Step-by-step explanation:

The length of the hypotenuse in this problem is given as follows:

h = 10.6 m.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

The side lengths for this problem are given as follows:

7m and 8m.

Hence the hypotenuse is obtained as follows:

h² = 7² + 8²

\(h = \sqrt{7^2 + 8^2}\)

h = 10.6 m.

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on what scale? to the nearest what? Elaborations, PLEASE

Anyways it's just:

4901 (4900*) + 75 (80*) = 4980

*i'm guessing

BUT if they want you to round after addition:

the answer would be 5000

Answer:

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Step-by-step explanation:

hhahaha

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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The equation can you use to find the rental cost, d, of each day they used the RV is 895=8d+55

What does $895 comprises of?

The $895 paid  for the duration of the trip consists of the payments for the RV for 8 days and additional amount of $55 which is for the outdoors upgrade.

The equation that can be used to determine rental cost per , d , per day considers that the total rental cost is number of days, 8 days  multiply by the rental  cost per day, which is d, and also that the final $55 is specifically for outdoors upgrade

Total cost=d*8+$55

Remember total cost of the trip is $895

$895=8d+$55

Which we can rewrite the expression by ignoring the dollar sign as below:

895=8d+55

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(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

Answer:

I think its 19.75

Answer:

Step-b

Mini conclusion: if we randomly select a sample of 25 students, there is a 95% probability that the mean score is between 64.08 and 71.92.y-step explanation:

Answer:

75°

Step-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

\(m\angle 1+m\angle 2=90\)

\(\Longleftrightarrow x+\frac{x}{5} =90\)

\(\Longleftrightarrow \frac{6x}{5} =90\)

\(\Longleftrightarrow x=\frac{5\times 90}{6} =\frac{450}{6} = 75\)

Answer:

237.5

Step-by-step explanation:

(100/16)×38

=237.5

Answer:

237.5

Step-by-step explanation:

Just do, 38 divided by 0.16 (16% into a decimal is 0.16) and that’s 237.5.

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

1

Step-by-step explanation:

by equality of triangles

13x-12=7x-6

13x-7x=12-6

6x=6

x=1

Answer:

The conclusion is that people are less likely to prefer dog food over all human food than would be expected by chance

Step-by-step explanation:

From the question we are told that

   The sample size for first sample is  \(n_1 = 18\)

     The sample size for second sample  is \(n_2 = 18\)

     The number that ranked the dog food first \(d = 2\)

     The number that chose one of the other items is  \(h = 16\)

The sample proportion for first sample  is  

    \(p(d) = \frac{d}{n}\)

=>   \(p(d) = \frac{2}{18}\)

=>  \(p(d) = 0.11\)

The sample proportion for second sample   is  

         \(p(h) = \frac{h}{n}\)

         \(p(h) = \frac{16}{18}\)

         \(p(h) = 0.8889\)

The value of the pooled proportion is evaluated as

      \(\= p = \frac{h+d}{18 +18}\)

       \(\= p = \frac{2+16}{18 +18}\)

      \(\= p = 0.5\)

\(H0: p(d) = p(h)\)

\(Ha : p(d) < p(h)\)

Test statistics

        \(z = \frac{(p(d)) - (p(h))}{\sqrt{\= p (1- \= p) (\frac{1}{n_1} + \frac{1}{n_2} )} }\)

        \(z = \frac{ 0.1111 - 0.8889}{\sqrt{0.5 (1- 0.5) (\frac{1}{18} + \frac{1}{18} )} }\)

       \(z = -4.67\)

So since the test  statistics is within the rejection region for the left tailed test

  The null hypothesis is rejected

The conclusion is  that people are less likely to prefer dog food over all human food than would be expected by chance

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Answer: The answer in a is No while the answer in b is Yes

Step-by-step explanation:

Find the explanation in the attached file.