Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u > 0.
sin(2sec^-1 u/10)

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Answer:

Step-by-step explanation:

um where’s the question?

Answer:

EF is 109

DAB is 54.5

Step-by-step explanation:

Applying the central angle theorem, the correct statement would be:

The central angle theorem states that:

Thus:

Measure of minor arc EF = m∠ECF = 109°

m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]

m∠DAB = 54.5°

Therefore, applying the central angle theorem, the correct statement would be:

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Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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The probability of winning the jackpot is 1/32728332.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

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Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

9514 1404 393

Answer:

  143 in²

Step-by-step explanation:

The figure is dimensioned in such a way that it can be divided easily into three rectangular areas. The top rectangle is 10 in wide and 7 in high. The vertical rectangle below that is 4 in wide and 12 in high, and the square appendage on the right is 5 in square.

Then the total area is the sum of products of length and width:

  A = (10 in)(7 in) + (4 in)(12 in) + (5 in)(5 in) = (70 +48 +25) in²

  A = 143 in²

The area of the irregular figure is 143 in².

Answer:

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

620,000/62 = 10,000

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

9514 1404 393

Answer:

  (x, y) = (4, 5)

Step-by-step explanation:

The solution to the matrix equation ...

  [tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]

is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.

  [tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]

Answer: 20 cups :DD

Step-by-step explanation:

Answer:

bro tell me the shape

Step-by-step explanation:

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression is

[tex]6x^2y^2-9xy-42[/tex]

= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]

The factorized form will be

=  [tex]3 (2x^2y^2 - 3xy - 14)[/tex]

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Answer:

The one you selected is the correct one

Answer:

(5/7) x 56 = 40 is correct

Step-by-step explanation:

How have you been stuck on this for 3 hours

Answer:v= x a h add then multiply

Step-by-step explanation:

Answer:

The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...

7 pages·477 KB

The straight line distance between the submarine and the airplane is 4000 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the straight line distance between the submarine and the airplane. Hence:

sin(30) = 2000/d

d = 4000 feet

The straight line distance between the submarine and the airplane is 4000 feet.

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Answer:

y = 4

Step-by-step explanation:

Given that,

RS= 4y+2, ST = 3y+8, and RT = 38

We need to find the value of y.

As,

RT = RS+ST

Put all the values,

38 = 4y+2+3y+8

38-2-8 = 4y+3y

28 = 7y

y = 4

So, the value of y is equal to 4.

Answer:

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Yes, they are.

Answer:

Yes

Step-by-step explanation:

Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms.

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Option A, B, and C are correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

About 20% of the students are taking chemistry:

To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:

10/50 x 100% = 20%

Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.

About twice as many students are taking health science than are taking physics:

The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:

Health science : Physics = 12 : 6 = 2 : 1

Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.

For every 150 students, we could predict that at least 18 of the students are taking physics:

To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:

6/50 = 0.12

To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:

0.12 x 150 = 18

Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.

For every 25 students, we could predict that at least 4 of the students are taking Earth Science:

To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:

4/50 = 0.08

To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:

0.08 x 25 = 2

Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.

Therefore,

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

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Answer:

The answer is 14:17

Step-by-step explanation:

31-14 is 17 and 14 are female and 17 are male so we do 14:17

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Step-by-step explanation:

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