2cosAcosB =

• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)

Answer:

2184 different schedules

Step-by-step explanation:

Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.

When we choose from n items, and we choose r of them, our formula is

n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes

14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules

this is an answer if u have somethin better go for it

well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

Answer:

y=7x+18

Step-by-step explanation:

the y intercept is 18 and the slope is 7.

Answer:

9/8

Step-by-step explanation:

x=(3/4)/2*3=9/8

Answer:9/8

Step-by-step explanation:divide 3/4 by 2/4

Answer:

half-class

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

Event = Girl

Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.

# of possible outcomes = 14

There are 6 girls in the class and thus there are 6 favorable outcomes.

# of favorable outcomes = 6

The probability is the number of favorable outcomes divided by the number of possible outcomes.

P(Girl) = # of favorable outcomes

            # of possible outcomes

= [tex]\frac{6}{14}[/tex]

= [tex]\frac{3}{7}[/tex]

≈ 0.4286

= 42.86%

Result

[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%

The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.

Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.

The amount of pizza that they eat altogether will be given as,

⇒ 2/3 + 1/2

Add the fraction, then we have

⇒ 2/3 + 1/2

⇒ (4 + 3) / 6

⇒ 7 / 6

The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.

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Answer:

8+h

Step-by-step explanation:

Simply substitute x = 2+h and x = 2 in.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]

Therefore, the answer is h+8 or 8+h.

Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.

The definition of derivative is:

[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]

Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.

Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.

[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]

Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.

[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]

Answer:

see exp

Step-by-step explanation:

1.0, 1/3, 95%, 80%

Answer:

Step-by-step explanation:

So the final answer is $2274.

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

Answer:

40min

Step-by-step explanation:

Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.

2 / 2 = 1

16 / 2 = 8.

Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.

Therefore it takes him 40min to run 5 miles.

Hope this helps!

Answer:

between midnight and 3am i think

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because 10 - 6.79 = 3.21

Rachel will not have enough money left over to buy a pen for cost $3.50.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.

A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.

Total money Rachel has = $10.00

Cost of book = $6.79

If she buy the book,

Remaining money = $10.00 - $6.79

                              = $3.21

Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.

Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.

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Answer:

The answer is -.17 and that is rounded to the nearest hundredth.

Step-by-step explanation:

Let me know if you need it!

Answer:

80-t

Step-by-step explanation:

8(10)=80

80-t

Not sure if this is what you mean... please attach a picture to your question.

Answer:

check online for more information

Answer:

8 512 =8 X 8 X 8

Step-by-step explanation:

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

Answer:

2n-5

Step-by-step explanation:

So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5

The value of (A - B) in the simplest form is (A - B) = -8n + 9.

Two or more expressions with an equal sign are defined as an equation.

The given equations are A = -3n + 2 and B = 5n - 7.

The value of A - B is:

A - B

= -3n + 2 - (5n - 7)

= -3n + 2 - 5n + 7

= -8n + 9

Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.

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Answer:apple

Step-by-step explanation:

Answer:

Blueberries.

Step-by-step explanation:

Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries

Answer:

10

Step-by-step explanation:

500/50=10

50*10=500

Answer:

2.8

Step-by-step explanation:

.4 × 7 =2.8

.4+.4+.4+.4+.4+.4+.4

Hope this helps!!:)

Answer:

2.8

Step-by-step explanation:

This is the same as:

[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]

If we were to change the question to:

[tex]4+4+4+4+4+4+4=28[/tex]

That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8  

Answer:

4

Step-by-step explanation:

Equation:-

2(5-3)

=> 2(2)

=> 4

Answer:

no it is really easy question to answered so do it your self

68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes

The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that μ = 35, σ = 5

68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)

95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)

99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)

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