Review the steps of the proof of the identity
At which step was an error made?
sin (A-3) - COSA.
= A.
step 1
step 2
3п
sin
step 3
step 4
Step 1: = sinAcos
3 п
2
-
COSAsin
n ()
Step 2: = (sinA)(0) + COSA( - 1)
Step 3: = (sinA)(0) + (1) (COSA)
Step 4: = 0 + COSA
Step 5: Cos A

Answer:

aThere are 12 total possibilities: 6 numbers + Head or 6 numbers + Tail

Step-by-step explanation:

Now, required outcomes: T+2,4,6= 3/12 = 1/4

Since the sequence has a common difference of 5, hence the sequence  is 4, 9, 14, 19, ... is defined recursively using the formula  f(n 1) = f(n) – 5 .

Recursive functions are functions used to generalize sequence. Given the recursive function

f(n - 1) = f(n) – 5 .

This can be written as:

f(n) - f(n-1) = 5

This shows that the correct sequence must have a common difference of 5

For the sequence 4, 9, 14,19...

d = 9 - 4 = 14 - 9

d = 5

Since the sequence has a common difference of 5, hence the sequence  is 4, 9, 14, 19, ... is defined recursively using the formula  f(n 1) = f(n) – 5

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Americans spent a total of about $9,000 each on health care in 2013.

Health care is one of the most common expenses that people have to do. This derives from the comon saying that heath is wealth.

The graph shows the degree of expenses by the American people on the issue of health care in the year 2013. From the graph, we can see that Americans spent a total of about $9,000 each on health care in 2013.

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Answer:

C.) About $9,000

Step-by-step explanation:

Edge, 2022.

The length of the straw will be 9.89949 inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

[tex]X^2=l^2+b^2+h^2[/tex]

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 5 inch , b= 8 inch , h= 3 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

[tex]X^2+l^2+b^2+h^2[/tex]

[tex]X^2=5^2+8^2+3^2[/tex]

[tex]X^2=25+64+9[/tex]

[tex]X^2=98[/tex]

[tex]X=\sqrt{98}[/tex]

X= 9.89949 (in radical form)

Hence, the length of the straw will be  9.89949 inches.

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Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 5.68 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 2.99% or 0.0299.

This is how our function should look now [tex]P(t)=5.68*e^{0.0299*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t)=5.68*e^{0.0299*6}[/tex]

[tex]P(t)=5.68*e^{0.1794}[/tex]

[tex]P(t) = 5.68*1.1965[/tex]

[tex]P(t) = 6.796\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 10 million and solving for t.

[tex]10 = 5.68*e^{0.0299*t}[/tex]

[tex]\frac{10}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}[/tex]

[tex]1.76056=e^{0.0299*t}[/tex]

[tex]ln(1.76056)=ln(e^{0.0299*t})[/tex]

[tex]\frac{0.5656}{0.0299}=\frac{0.0299*t}{0.0299}[/tex]

[tex]18.9175\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 10 million for P(t) we put 5.68* 2 in there which is 11.36.

[tex]11.36= 5.68*e^{0.0299*t}[/tex]

[tex]\frac{11.36}{5.68} = \frac{5.68*e^{0.0299*t}}{5.68}[/tex]

[tex]2=e^{0.0299*t}[/tex]

[tex]ln(2)=ln(e^{0.0299*t})[/tex]

[tex]\frac{0.693}{0.0299}=\frac{0.0299*t}{0.0299}[/tex]

[tex]23.182\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

10 - (1/2)^4 * 48 is a mathematical expression and the value of the expression 10 - (1/2)^4 * 48 is 3

The mathematical expression s given as:

10 - (1/2)^4 * 48

Evaluate the exponent

10 - (1/2)^4 * 48 = 10 - 1/16 * 48

Evaluate the product

10 - (1/2)^4 * 48 = 10 - 3

Evaluate the difference

10 - (1/2)^4 * 48  = 3

Hence, the value of the expression is 3

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Answer:

4

Step-by-step explanation:

Total budget = 760

Money left = 760 - 433.54 - 2*18.41 - 10.76 = 278.88

278.88 > oo * 66.4

oo < 4.2

As oo should be an integer, so number of outfit =4

Answer:

  arc BC = 26°

  arc AB = 90°

  arc CAB = 334°

Step-by-step explanation:

The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.

__

∠APE +∠EPD = 180°

  (25x +15)° +(33x -9)° = 180°

  58x = 174 . . . . . . divide by °, subtract 6

  x = 3 . . . . . . . . divide by 58

Angle APE is ...

  ∠APE = (25x +15)° = (25·3 +15)° = 90°

Then ...

  ∠EPD = 180° -90° = 90°

  ∠DPC = (20·3 +4)° = 64°

  ∠CPB = 90° -64° = 26°

  arc BC = ∠BPC = 26°

  arc AB = ∠APB = 180° -90° = 90°

  arc CAB = 360° -arc AB = 334°

Answer: 5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Given a quadratic equation ax² + bx + c = 0, plug the coefficients into the expression b² - 4ac to see what results:

5² - 4(-2 × -3)

Answer:

2. 11x - 10

3. -8 + 11x - 2

5. -8 + 6x + 5x -2

Step-by-step explanation:

To find the equivalent expressions, find the solution to the expression -2(4 - 3x) + (5x - 2). All expressions that are within the solving process or have the same solution are equal to the given expression.

-2(4 - 3x) + (5x - 2)

-2(4 - 3x) + 5x - 2

-8 + 6x + 5x - 2

-8 + 11x - 2

11x - 10

In this case, the equivalent expressions were within the solving process. From this, we can see that the equivalent expressions are 11x - 10, -8 + 11x - 2, and -8 + 6x + 5x - 2. Aka choices 2, 3, and 5.

hope this helps!

Answer:

3x + 2

Step-by-step explanation:

2 x 3x

6x

2 x 4

8

6x + 8

3 x X

3x

3 x 2

6

6x - 3x

3x

8 - 6

2

3x + 2

Answer:

Option A

Step-by-step explanation:

95% confidence interval is obtained using the following formula

COnfidence interval lower bound = mean - critical value * sigma/sq rt n

and upper bound = mean + critical value*sigma/sq rt n

Thus margin of error = critical value*sigma/rt n

varies indirectly as n provided others are remaining the same.

Hence lower sample indicates higher margin of error

Out of 4 options given we find that I option has maximum margin of error as 21%

Hence option A is most likely coming from a small sample

Answer:

80 dollars?

Step-by-step explanation:

4*20=80

Answer:

middle a little to the left and done

Step-by-step explanation:

Answer:

increase

Step-by-step explanation:

First, we need to find the mean of the given data set without any change.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 12 = 264

264 ÷ 8 = 33

Now that we have the mean, we can find the mean of the data set with the change of 52.

10 + 61 + 10 + 44 + 21 + 79 + 27 + 52 = 304

304 ÷ 8 = 38

From this, we can see that the mean has increased with the change of 12 to 52. Thus, that's the correct option.

hope this helps!

Answer:

Multiplication is the process of multiplying. The total cost of the boxes of two types is $90.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of the first box is $12, which has 8 pounds of milk chocolate and 4 pounds of dark chocolate.

The cost of the second box is $15, which has 5 pounds of milk chocolate and 10 pounds of dark chocolate.

Therefore, if we buy the 5 boxes of the first type and 2 boxes of the second type, then the amount of two chocolate that Tim needs will be fulfilled.

The cost of 5 boxes of the first type is $60 ($12 ×5), while the cost of 2 boxes of the second type is $30 ($15×2), therefore, the total cost of the boxes of two types is $90.

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distribute.

[tex](10+13)(2+7y)\\\\20+70y+26+91y\\\\46+161y[/tex]

the answer is 46 + 161y.

Answer:

D. 46 + 161y

Step-by-step explanation:

Smiley face method/FOIL

(10 + 13)(2 + 7y)

= (10*2) + (10*7y) + (13*2) + (13*7y)

= 20 + 70y + 26 + 91y

Add like terms:

46 + 161y

Answer:

635.2 cm^3.

Step-by-step explanation:

Volume of the cylinder = π r^2 h

= 3.14 * 4^2 * 5 = 251.2

Volume of the prism = 4 *8 * 12

= 384

Total volume = 384 + 251.2

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 3.14 \times {4}^{2} \times 5[/tex]

[tex]v = 251.2 \: {cm}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 12 \times 8 \times 4[/tex]

[tex]v = 384 \: {cm}^{3} [/tex]

[tex]v = 251.2 + 384[/tex]

[tex]v = 635.2 \: {cm}^{3} [/tex]

Answer:

3y=12x-7

y=4x-7/3

so its 4

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

                  What is the gradient of the line 3y-12x+7=0?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

4

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                 First, add 12x to both sides and subtract 7 from both sides:

3y=12x-7

Now, divide by 3 on both sides:

y=4x-7/3

The gradient, or slope, of the line is 4.

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

Answer:

First picture - 20.42 m

Second picture - 12.9 m

Step-by-step explanation:

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3.5 m

h = height - 5 m

Thus,

[tex]V=3.5^2\frac{5}{3}[/tex]

[tex]20.41667m^3[/tex] ≈ [tex]20.42m^3[/tex]

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

Formula for pyramid:

[tex]V=b^2\frac{h}3[/tex]

Where,

b = base - 3 m

h = height - 4.3 m

Thus,

[tex]V = 3^2\frac{4.3}{3}[/tex]

[tex]12.9m^3[/tex]

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

Kavinsky

[tex]~~~~~~|x -1| =3\\\\\implies x-1 = 3~~~~~~~ \text{or}~~~~~~~ x -1 = -3\\\\\implies x = 3+1~~~~~~~\text{or}~~~~~~~~ x = -3 +1\\\\\implies x = 4~~~~~~~~~~~~ \text{or}~~~~~~~~~ x = -2\\\\\text{Solution set:}~ \{-2,4\}[/tex]

first case

[tex]|x-1|=3\\\\x-1=3\\\\x=4[/tex]

second case

[tex]-|x-1|=3\\\\-x+1=3\\\\-x=2\\\\x=-2[/tex]

The solutions are {-2, 4}

Answer:

[tex]f = 2.48[/tex]

Step-by-step explanation:

Step 1:  Subtract 4.02 from both sides

[tex]f + 4.02 = 6.5[/tex]

[tex]f + 4.02 - 4.02 = 6.5 - 4.02[/tex]

[tex]f = 2.48[/tex]

Answer:  [tex]f = 2.48[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

Step-by-step explanation:

No; in a right triangle, the other two angles are complementary so they are both less than 90° CLASSIFYING TRIANGLES Copy the triangle and measure its angles.

Answer: x=+2 check over 2

Step-by-step explanation:

1. Move terms to the left side

42=32

4x2-32=0

2. Common Factor

4x2-32=0

4(x2-8)=0

3. Divide both sides by the same factor

4(x2-8)=0

x2-8=0

4. Use the quadratic formula

x2-8=0

a=1

b=0

C=-8

5. Simplify

. Evaluate the exponent

. Multiply the numbers

.Add zero

. Multiply the numbers

6. Seperate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

7.  Solve

Rearrange and isolate the variable to find each solution

Answer:

187.5 m^3

Step-by-step explanation:

2 to 5 is 2(2.5)

2.5^2 = 6.25

6.25(30) = 187.5