Select the correct answer.
Given
D = {xIx is a whole number}
E = {xl x is a perfect square between 49 and 100}
F={xl x is an even number between 10 and 20}
The expression Du F means...
The expression DNF means
The expression Dn E means
The expression E N F means
The expression Dn (EU F) means

Formatted Options:

A. sin²A−cos²A

B. sin²A+cos²A

C. cos²A−sin²A

D. cosA−sinA

Answer:

C. cos²A−sin²A

Step-by-step explanation:

From the double angle formulas, we know that:

cos (A + B) = cosAcosB - sinAsinB

So, if B = A, then the above equation becomes;

cos(A + A) = cosAcosA - sinAsinA      [i.e replacing B with A]

=>cos(2A) = (cosA)² - (sinA)²

=> cos(2A) = cos²A - sin²A

Therefore,

cos(2A) is equivalent to cos²A - sin²A

Answer:

"vertical angles"

Step-by-step explanation:

Those are "vertical angles."

Answer:

32 blocks

Step-by-step explanation:

distance between home (0,0) and mall (0,7) = 7

distance between mall (0,7) and movies (9,7) = 9

distance between movies (9,7) and store (9,0) = 7

distance between store (9,0) and home (0,0) = 9

7 + 9 + 7 + 9 = 32 blocks

Answer:

D (Presumably)

16 by 3

Step-by-step explanation:

The perimeter of a rectangle is the two lengths added with the two widths. In a formula, this is:

[tex]P=2l+2w[/tex]

Where l is the length and w is the width.

We are told the length is 13 units longer than the width. In other words:

[tex]l=w+13[/tex]

We also already know that the perimeter is 38 units. So, let's substitute P for 38 and l for (w+13) to solve for w:

[tex]P=2l+2w\\38=2(w+13)+2w[/tex]

Distribute:

[tex]38=2w+26+2w[/tex]

Combine like terms:

[tex]38=4w+26[/tex]

Subtract 26 from both sides:

[tex]12=4w[/tex]

Divide both sides by 4:

[tex]w=3[/tex]

Thus, the width is 3 units.

Since the length is 13 units longer than the width, the length is 16 units.

Answer:

8 (read below)

Step-by-step explanation:

There is 8 if you re counting the bottom, light turqoise one. If not, then 7.

Answer:

17 or 18

Step-by-step explanation:

Answer:

a) 4/25, or 0.16, or 16%

b) 1/5, or 0.2, or 20%

c) The first option - the theoretical and experimental values should become closer the more trials that are performed.

Step-by-step explanation:

a) 4 of Tammy's 25 spins landed on black, so the experimental probability is 4/25, or 0.16, or 16%.

b) The spinner is split into 5 equal sections. Assuming it is fair, the chance of landing in any given section for a single spin is 1/5, or 0.2, or 20%.

c) The theoretical and experimental values should get closers the more trials you do.

For example, consider 1 coin flip vs 100. The theoretical probability of landing on a given side of a coin is 1/2, or 0.5, or 50%. With a single flip, your experimental probability will either be 0% or 100%, both off of the theoretical probability by 50%. After 100 flips however, the experimental and theoretical probabilities will be much closer to each other.

Answer:

2

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find the percentage increase we use the formula

From the question

The original value = 12

To find the change we subtract the smaller value from the larger one

That's

Change = 20 - 12 = 8

So the percentage increase is

We have the final answer as

[tex]67\%[/tex] to the nearest whole number

Hope this helps you

Answer:

  8/45

Step-by-step explanation:

Define x to be the value of your fraction:

  [tex]x=0.1\overline{7}\\\\10x=1.7\overline{7}\qquad\text{multiply by 10}\\\\10x-x=1.7\overline{7}-0.1\overline{7}=1.6\\\\x=\dfrac{1.6}{9}=\dfrac{8}{45}\qquad\text{divide by 9; put in lowest terms}[/tex]

____

When in doubt, you can use your calculator to see which fraction gives you 0.1777777778.

_____

We multiplied by 10^1 above, because there is 1 repeating digit. The power of 10 we use matches the number of repeating digits.

Answer:

8/45

Step-by-step explanation:

and have a good day

Answer:

The slope of the perpendicular line is -4/3

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 3/4 = -1

Multiply by 4/3

m * 3/4 * 4/3 = -1 * 4/3

m = -4/3

The slope of the perpendicular line is -4/3

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex], where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

d = [tex]\sqrt{(9 - 4)^2 + (5 + 7)^2}[/tex]

d = [tex]\sqrt{5^2 + 12^2}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13

Answer:

0.32 ounces of chocolate per mold

Step-by-step explanation:

Answer:

the correct answer is 3.125

Step-by-step explanation:

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

Answer:

136 min

Step-by-step explanation:

lets make it simple.

2 miles / 17 min = 16 miles / x

just cross multiply

2 x = 17 (16)

2 x = 272

x = 272 / 2

x = 136 min

Answer: The 9th term is 16.

Step-by-step explanation:

Given formula : [tex]a_n=4(n-5)[/tex], where n is a natural number using for determine the terms.

To find the 9th term , we substitute n= 9 in the above expression, we get

[tex]a_9=4(9-5)\\\\\Rightarrow\ a_9=4(4)\\\\\Rightarrow\ a_9=16[/tex] which is the 9th term.

Hence, the 9th term is 16.

Answer:

The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Step-by-step explanation:

The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:

√((x₁ - x₂)² + (y₁ - y₂)²)

So in this case, with the points (-3, 2) and (4, 0), the distance is:

√((-3 - 4)² + (2 - 0)²)

√(49 + 4)

√(53) ≈ 7.28

Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.

Answer: h = 137.4 metres

Step-by-step explanation:

Given that the length of the shadow of a pole on level ground increase 90m, that is, (x + 90)m will be the total length of the shadow. Also we are given that the angle of elevation of the sum changes from 58-38.

To calculate the height, we will employ trigonometry ratio. SohCahToa which are: tan 58 and tan 38.

Please find the attached files for the solution

Answer:

5 cm

Step-by-step explanation:

13² - 12² = x²

169 - 144 = x²

25 = x²

5 = x

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

We know the vertex is the lowest or highest part of a parabola meaning all the points are reflected across.  It is the only y value without a matching pair

E.x. -1 and 1, -3 and 3

The only point without a corresponding y value is (-3,-1) therefore the vertex is at (-3,-1)

The y-intercept is where the parabola meets the y axis or the x value is equal to 0, we just have to find when x = 0 to find the y intercept

y intercept: (0,8)

For the x intercept's it is just the reverse, you need to find where the parabola crosses the x axis or when y = 0

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

Answer:

Constant of proportionality

K= 16.5 gallons per minute

Step-by-step explanation:

Time t (minutes) Water g (gallons)

For t= 1, g= 16.50,

for t= 1.5 ,g= 24.75

For t= 2,g= 33

Let the function be

Gallons g= k(time t)

Where k is the constant of proportionality

16.5= k(1)....for when t= 1

24.75= k(1.5) ..for when t= 1.5

Solving gives

8.25=k(0.5)

8.25/0.5= k.

16.5 = k

K= 16.5 gallons per minute

Answer:

B. 1.64b

Step-by-step explanation:

0.33b+1b+0.31b

=1.64b

Answer:

Following are the answer to this question:

Step-by-step explanation:

Matrix:

[tex]A=\left[\begin{array}{cc}0.3&0.7\\1&0\end{array}\right][/tex]

[tex]A^2=\left[\begin{array}{cc}0.79&0.21\\0.3&0.7\end{array}\right][/tex]

In the above-given matrix, all entries of the matrix A²  will be positive and the matrix A will be the transition of the matrix A, that regulates the Markov​ chain.

Answer:

  1, -0.5, -6.25

Step-by-step explanation:

The number in the left box is the leading coefficient. The coefficient of x^2 is 1, so that goes in the first box.

__

The number in the second box is half the coefficient of x, divided by the leading coefficient:

  (1/2)(-1)/1 = -1/2

__

The number in the third box (k) is the number required to make the rewritten g(x) match the original g(x). So far, we have ...

  g(x) = 1(x -1/2)^2 + k = x^2 -x -6

  x^2 -x +1/4 +k = x^2 -x -6 . . . . . expand the square

  1/4 +k = -6 . . . . . . . . . . . . . . . . . subtract the x-terms from both sides

  k = -6 1/4 . . . . . . . . . . . . . . . . . . subtract 1/4

So, you have ...

  [tex]g(x)=\boxed{1}(x+\boxed{-0.5})^2+\boxed{-6.25}[/tex]

Answer:

15

Step-by-step explanation:

12 X 15 is 180, which is closest to 187, we have to add a 5 in the space next to 71 and 180 under 187

Answer:

  -1

Step-by-step explanation:

Twice a number: 2n.

15 less than the number: n-15.

The sum of those: (2n) +(n-15) = 3n-15.

__

The difference between -19 and the number: -19-n

__

These values are the same, so we have ...

  3n -15 = -19 -n

  4n = -4 . . . . . . . . add n+15 to both sides

  n = -1 . . . . . . . . .  divide by -4

The number is -1.

Step-by-step explanation:

An=A1+(n-1)d

A30=10+(30-1)3

A30=10+(29)3

A30= 10+87

A30=97

it takes me a centuary to type

Hi there! :)

Answer:

[tex]\huge\boxed{8}[/tex]

Find the constant of proportionality using

rise ( y value) / run ( x value):

Therefore:

8 / 1 = 8 = constant of proportionality

We can go ahead and check our work as well:

16 / 2 = 8

24 / 3 = 8

32 / 4 = 8

Therefore, 8 is the correct constant of proportionality.

Answer:

35

Step-by-step explanation:

We can call the amount of questions they answered as 4x, 6x and 3x respectively. Since Chandran answered 30 questions, we know that 6x = 30 so x = 5. The total number of questions Kadir and Ping Wei answered was 4x + 3x = 7x and since we know that x = 5, the answer is 7 * 5 = 35 questions.

Answer:

253/1000, 23.5%

Step-by-step explanation: