Express sin 6x-sin 2x in product form.​

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

a. The first derivative of y = √3x - 2 is y' = 3/(2√(3x - 2)).

b. The first derivative of y = x²√(7x + 8) is y' = 2x√(7x + 8) + (7x²)/(2√(7x + 8)).

A function's derivative with respect to an independent variable can be used to define differentiation. Calculus differentiates to measure the function per unit change in the independent variable.

a) y = √3x - 2

Using the power rule of differentiation and the chain rule, we get:

y' = \((1/2)(3x - 2)^{(-1/2)\) * d/dx (3x - 2)

= \((1/2)(3x - 2)^{(-1/2)\) * 3

= 3/(2√(3x - 2))

Therefore, the first derivative of y = √3x - 2 is y' = 3/(2√(3x - 2)).

b) y = x²√(7x + 8)

Using the product rule and the chain rule, we get:

y' = d/dx (x²) * √(7x + 8) + x² * d/dx (√(7x + 8))

= 2x√(7x + 8) + x² * (1/2)(7x + 8)^(-1/2) * d/dx (7x + 8)

= 2x√(7x + 8) + x² * (1/2)(7x + 8)^(-1/2) * 7

= 2x√(7x + 8) + (7x²)/(2√(7x + 8))

Therefore, the first derivative of y = x²√(7x + 8) is y' = 2x√(7x + 8) + (7x²)/(2√(7x + 8)).

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Answer:

D

Step-by-step explanation:

If you use a calculator and try each you will see that d is correct 3/2+1=2.5 3 is your x from the table and keep doing that with all and see if its true which it is

Answer:

D) 2X + 4Y = 6

      3X - 4Y =9

Step-by-step explanation:

Hope this helps

Answer:

first one buddy

Step-by-step explanation:

The possible perimeters are 140 feet, 148 feet and 160 feet.

In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.

Area of a rectangle = length x width

Width = area / length

1200 / 40 = 30 feet

1200 / 50 = 24 feet

1200 / 60 = 20 feet

Perimeter of a rectangle = 2 x (length + width)

Perimeter when width is 30 feet : 2(40 + 30) = 140 feet

Perimeter when width is 24 feet : 2(24 + 50) = 148 feet

Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet

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The total number of selected students in UMK is 43.

What is principle of inclusion-exclusion?

The principle of inclusion-exclusion is a counting technique used to determine the size of a set that is the union of two or more sets. It states that the size of the union of two or more sets is equal to the sum of the sizes of the individual sets minus the size of their intersection(s).

Let's use the principle of inclusion-exclusion to find the total number of selected students in UMK.

Total number of selected students = number of students in the volleyball team + number of students in the football team + number of students in the tennis team - number of students in both volleyball and football - number of students in both football and tennis - number of students in both tennis and volleyball + number of students in all three teams.

Substituting the given values, we get:

Total number of selected students = 21 + 26 + 15 - 12 - 5 - 6 + 4

Simplifying, we get:

Total number of selected students = 43

Therefore, the total number of selected students in UMK is 43.

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The correct option regarding the exponential function is given as follows:

Amar is correct. Because 2% -0.02 and the base is 1-0.02 so the function has a decay rate of 2%.

The exponential function for this problem is defined as follows:

y = 230(0.98)^x.

The initial value is given as follows:

y = 230.

The base of the function is given as follows:

0.98.

As the base of the function is less than 1, this is a decay function, with a rate of 1 - 0.98 = 0.02 = 2%.

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The function is f(x)=2x

The domain is {1,2,3}

Then the range will be {2,4,6}

Given that,

We have to find what is domain and range of the function.

We know that,

The components of a function are its domain and range. The domain of a function is the set of all possible input values, whereas the range of a function is its potential output. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A⇒ B exists that maps every element of A to an element in B. The representation of an element 'a' under a relation R is given by 'b', where (a,b) R. The range of the function is the set of photos. In general, a function's domain and range are denoted as follows: Range(f) = {f(x): x ∈domain(f)} and domain(f) = {f(x): x ∈R}

So,

The function is f(x)=2x

The domain is {1,2,3}

Then the range will be {2,4,6}

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Answer:

27

Step-by-step explanation:

40-4=26

26/2 = 13

13+14=27

Answer:

26 dogs

Step-by-step explanation:

Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:

no x values?

no line equation?

Step-by-step explanation:

i don't think you can find the slope without x values. the formula to find the slope of a line is:

(y1 - y2) / (x1 - x2)

Answer:

a) f(-1) = 1

b) f(0) = 6

c) f(2) = 8

Step-by-step explanation:

If x is lesser than 0, we have that:

f(x) = 4x + 5

Otherwhise

f(x) = x + 6

(a) f(-1)

Here x = -1.

-1 is lesser than 0

Then

f(x) = 4x + 5

f(-1) = 4*(-1) + 5 = -4 + 5 = 1

(b) f(0)

Here x = 0

When x equals 0

f(x) = x + 6

Then

f(0) = 0 + 6 = 6

(c) f(2)

Here x = 2

When x = 2

f(x) = x + 6

Then

f(2) = 2 + 6 = 8

Ok, here we have a right triangle so, we can use trigonometric ratios, in this case we could use the sine or the cosine since we know all the angles and a leg, and we need to find the hypotenuse. We choose to use the sine:

So, we are going to clear x:

The equations which show the total volume of the boxes Marcus shipped are as follows:

A. (20 × 10 × 7) + [2× (20 × 4 × 4)]

C. (20 × 10 × 7) + (20 × 4 × 4) + (20 × 4 × 4)

F. (200 × 7) + [2 × (80 × 4)]

Mathematically, the volume of a rectangular prism can be calculated by using this equation:

Volume = L × W × H

Where:

For rectangular prism 1, the volume is given by:

Volume 1 = L × W × H

Volume 1 = 20 × 7 × 10

Volume 1 = 200 × 7

Volume 1 = 1,400 cubic inches.

For rectangular prism 2, the volume is given by:

Volume 2 = L × W × H

Volume 2 = 20 × 4 × 4

Volume 2 = 80 × 4

Volume 2 = 320 cubic inches.

Since Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, the total volume of the boxes Marcus shipped is given by these three (3) equations:

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Answer:

-7

Step-by-step explanation:

Also for the last two you gave, the answers to your questions were wrong. They gave you the wrong answer. The answer for the other 2 were A ($30) and the slope for the other answer was (1/2)

To multiply mixed numbers, we first need to convert them to improper fractions, then we can multiply them and simplify the result back to a mixed number.

Converting the first mixed number to an improper fraction:

-3 5/7 = -3 × 7/7 + 5/7 = -21/7 + 5/7 = -16/7

Converting the second mixed number to an improper fraction:

-2 1/2 = -2 × 2/2 + 1/2 = -4/2 + 1/2 = -3/2

Multiplying the two improper fractions:

(-16/7) × (-3/2) = (16/7) × (3/2) = 48/14 = 24/7

Simplifying the result to a mixed number:

24/7 = 3 3/7

Therefore, -3 5/7 x -2 1/2 = 3 3/7.

Answer:

-16

Step-by-step explanation:

In this problem, we are adding a negative integer and a positive integer. From this, we already know that the sum will be negative. (- plus + = -)

Since 20 is positive, you can remove the plus sign so your equation looks like

20 - 36

Next, subtract to get -16

~theLocoCoco

Answer:

( -16 ) is the answer .

hope this will help you

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

c

Step-by-step explanation:

Answer:

""Data that can be observed with our five senses """is right option..

Step-by-step explanation:

A qualitative observation involves the use of five sensory organs, sight, smell, taste, touch, and hearing, and their function to examine the attributes. Being subjective in nature, it focuses on the characteristics and qualities of the variables rather than the numerical value.

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

Anything that is 11 or greater

Step-by-step explanation:

please make brainliest

Answer:

y is greater than 10

Step-by-step explanation:

(10, undefined)

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Answer:

2 14/15

Step-by-step explanation:

turn mixed numbers into improper fraction and add them to get 2 14/15. hope this helps.

If  a player hits a ball while a bird is flying across the field. The intersection points of the equations represent: C the time when the height of the ball and the bird are the same.

Intersection points  can be defined as the points in which two parallel lines meet each other.

Given data:

Height of the baseball over time = h = –16t² + 65t

Height of a bird over time = h = 8t + 20

Where:

t = time in seconds

h = height in feet

–16t² + 65t =  8t + 20

-16t² +57t -20 =0

So,

t = -57 ±√57² -4×(-16) × (-20) / 2× (-16)

t = -57±√3249  -1280/ -32

t = -57 ±√1969 /-32

t = -57 + 44.373 / -32

t =  -12.627 /-32

t =.395

And

t = -57 - 44.373 / -32

t =  -101.373 /-32

t =3.168

Based on the above of the height of both the baseball and the bird, the time when the height of the ball and the bird are the same  are the points were the two lines intersect.

Therefore the correct option is C.

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Answer:

6 sides

Step-by-step explanation:

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)