Rotate ACDE 270° clockwise around


the origin.

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

$8.72

Step-by-step explanation:

Since the tax rate is 9% of the lunch cost, the tax for this lunch is .72 dollars since 9% of 8 is 0.72(see math below). You add the 0.72 to 8 and the total cost is $8.72.

8 x (9/100) = tax

8 x 0.09 = 0.72

8+0.72 = $8.72

True. The solution of a system of linear equations in two variables is the point (x, y) where the two lines intersect. This point satisfies both equations in the system simultaneously.

A system of linear equations in two variables is a set of two equations that can be written in the form:

a₁x + b₁y = c₁
a₂x + b₂y = c₂

where x and y are the variables and a₁, b₁, c₁, a₂, b₂, and c₂ are constants. The goal is to find the values of x and y that satisfy both equations in the system.

Geometrically, each equation in the system represents a line in the two-dimensional plane. The solution of the system is the point (x, y) where the two lines intersect. This point satisfies both equations simultaneously and is the only point that does so.

To find the solution of a system of linear equations, we can use various methods such as substitution, elimination, or matrices. These methods involve manipulating the equations in the system to eliminate one of the variables and solve for the other. Once we have the value of one variable, we can substitute it back into one of the equations to solve for the other variable. The solution of the system is then the ordered pair (x, y) that satisfies both equations.

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Answer:

y=35 x=145

Step-by-step explanation:

y is equivalent to 35

180-35=145

Answer:

x = 145

y = 35

Step-by-step explanation:

x and the 35 degree angle are supplementary angles, so x + 35 = 180.

solve for x, x = 145. the 35-degree angle and angle Y are corresponding angles, so the value of y will be 35.

Answer:

Please review the trigonometric proof below

Step-by-step explanation:

Given

\(\csc x -\sin x=\cos x \cot x\)

Apply the reciprocal identity to \(\csc x\).

\(\frac{1}{\sin x} -\sin x=\cos x \cot x\)

Write \(-\sin x\) as a fraction then multiply by \(\frac{\sin x}{\sin x}\).

\(\frac{1}{\sin x} + \frac{-\sin x}{1} =\cos x \cot x\)

\(\frac{1}{\sin x} + \frac{-\sin x}{1} *\frac{\sin x}{\sin x}=\cos x \cot x\)

\(\frac{1}{\sin x} + \frac{-\sin x\sin x}{\sin x}=\cos x \cot x\)

Combine the numerators over the common denominator.

\(\frac{1-\sin x\sin x}{\sin x}=\cos x \cot x\)

Multiply \(\sin x\) by \(\sin x\).

\(\frac{1-\sin^2 x}{\sin x}=\cos x \cot x\)

Apply the Pythagorean identity \(1-\sin^2 x=\cos^2 x\)

\(\frac{\cos^2 x}{\sin x}=\cos x \cot x\)

Factor \(\cos x\) out of \(\cos^2 x\).

\(\frac{\cos x\cos x}{\sin x}=\cos x \cot x\)

Separate into two fractions.

\(\frac{\cos x}{1} *\frac{\cos x}{\sin x}=\cos x \cot x\)

Apply the quotient identity \(\frac{\cos x}{\sin x}=\cot x\).

\(\frac{\cos x}{1} *\cot x=\cos x \cot x\)

Anything over 1 is just itself.

\(\cos x\cot x=\cos x \cot x\)

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, = space

Answer:

csc x − sin x

= \(\frac{1}{sin, x}\) - sin x

= \(\frac{1 - sin^{2}, x }{sin, x}\)

= \(\frac{cos^{2}, x }{sin, x}\)

= \(\frac{cos, x}{sin, x}\) * cos x

= cot x cos x

∴csc x - sin x - cot x cos xQED

It is the most " explanation " I can think of.

Thus the answer is shown above..

Answer:

Step-by-step explanation:

To solve the equation (T/12) + 5 = (T/3) + (T/4), we need to simplify the right-hand side of the equation by finding a common denominator for T/3 and T/4.

The least common multiple of 3 and 4 is 12, so we can rewrite T/3 and T/4 as (4T/12) and (3T/12), respectively. Substituting these expressions into the equation, we get:

(T/12) + 5 = (4T/12) + (3T/12)

Simplifying the right-hand side, we get:

(T/12) + 5 = (7T/12)

Subtracting (T/12) from both sides, we get:

5 = (6T/12)

Simplifying the right-hand side, we get:

5 = (T/2)

Multiplying both sides by 2, we get:

T = 10

Therefore, the solution to the equation is T = 10.

\(\sf\longrightarrow \: \frac{t}{12} + 5 = \frac{t}{3} + \frac{t}{4} \\ \)

\(\sf\longrightarrow \: \frac{t + 60}{12} = \frac{t}{3} + \frac{t}{4} \\ \)

\(\sf\longrightarrow \: \frac{t + 60}{12} = \frac{4t + 3t}{12} \\ \)

\(\sf\longrightarrow \: 12(t + 60) = 12(4t + 3t) \\ \)

\(\sf\longrightarrow \: 12t + 720 = 48t + 36t \\ \)

\(\sf\longrightarrow \: 12t + 720 = 84t \\ \)

\(\sf\longrightarrow \: 720 = 84t - 12t\\ \)

\(\sf\longrightarrow \: 720 =72t\\ \)

\(\sf\longrightarrow \: 72t = 720\\ \)

\(\sf\longrightarrow \: t = \frac{720}{72} \\ \)

\(\sf\longrightarrow \: t = 10 \\ \)

\(\longrightarrow { \underline{ \overline{ \boxed{ \sf{\: \: \: t = 10 \: \: \: }}}}} \: \: \bigstar\\ \)

Answer: $6.995

Step-by-step explanation:

Based on the information provided in the question, the amount of money that Carlos use to pay for the items will be:

= (2 × $2.99) + (1/2 × $0.79) + $0.62

= $5.98 + $0.395 + $0.62

= $6.995

Based on the calculation above, Carlos paid for the items with $6.995

Answer:

along the x it moved 3 and along the y it went 4

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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The data set as there are some large residuals, such as 4 and -7, indicating that the actual fares are not well-predicted by the linear equation.

In statistics, residuals refer to the differences between the observed values of a variable and the values predicted by a statistical model. They are calculated by subtracting the predicted values from the observed values.

To calculate the residuals, we first need to find the predicted fares for each distance using the equation y = 0.1 x + 12;

Miles        Fares $          Predicted Fares $              Residuals $

50               14                          17                                     -3

40               16                          16                                     0

60               16                          18                                     -2

30               14                          15                                     -1

60               22                         18                                     4

70               12                          19                                     -7

80               24                         20                                     4

To find the residuals, we subtract the predicted fare from the actual fare. If the predicted fare is greater than the actual fare, the residual is negative, and if the predicted fare is less than the actual fare, the residual is positive. We can see that a linear model may not be appropriate for the data set as there are some large residuals, such as 4 and -7, indicating that the actual fares are not well-predicted by the linear equation.

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If Amanda has $750 to invest in a savings account.  The ​ annual interest compounded yearly is $271.22 .

The formula for the future value of an investment compounded continuously is:

FV = PV * e^(rt)

where:

PV = Present value of the investment =$750

r = annual interest rate =3%

t = number of years =4)

So, the future value of Amanda's investment after 4 years with 3% annual interest compounded continuously is:

FV = $750 * e^(0.03 * 4)

FV= $750 * e^0.12

FV = $750 * 1.1278

FV = $851.08

For comparison, the formula for the future value of an investment compounded annually is:

FV = PV * (1 + r)^t

So, the future value of Amanda's investment after 4 years with 3% annual interest compounded annually is:

FV = $750 * (1 + 0.03)^4

FV = $750 * 1.12167^4

FV = $750 * 1.4974

FV = $1122.30

The difference in value between the two scenarios is:

$1122.30 - $851.08 = $271.22.

Therefore the account would be worth $271.22 more if the interest was compounded annually than if it was compounded continuously.

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Answer:

d=24

Step-by-step explanation:

A string of length 6 can be formed using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in D in the following ways: There are 3 ways to select the first symbol (A, E, or F) of the string.

There are 6 ways to select the second symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the third symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fourth symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fifth symbol of the string (since any of the six symbols can be chosen at this point).

There is only 1 way to select the sixth symbol (since it has to be D).Hence, the total number of ways to form the string of length 6 using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in \(D is 3⋅6⋅6⋅6⋅6⋅1 = 3⋅6⁴ = 3⋅1296 = 3888.\) , the correct option is (a) 3⋅6⁴.

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When b is equal to 2, Loop2 has the fastest running time.

The running time of Loop1, Loop2, and Loop3 can be analyzed as follows:

1. Loop1: The loop continues as long as n is greater than 50 and divides n by b in each iteration. This operation reduces n by a factor of b in every iteration until it becomes less than or equal to 50. The number of iterations can be represented as log base b of n. Therefore, the running time of Loop1 is O(log base b of n).

2. Loop2: This loop subtracts b from n repeatedly until n becomes less than or equal to m, which is -10n. Since the loop continues until n is reduced to a value less than m, the number of iterations can be represented as n/b. The running time of Loop2 is O(n/b).

3. Loop3: This loop divides n by b until n becomes less than or equal to 1. The number of iterations required can be represented as log base b of n. Therefore, the running time of Loop3 is O(log base b of n).

When b is equal to 2, the running time of Loop1 and Loop3 is O(log base 2 of n). However, the running time of Loop2 is O(n/2), which is equivalent to O(n). Therefore, when b is 2, Loop2 has the fastest running time and ends the earliest among the three loops.

In summary, the running time of Loop1 and Loop3 is θ(log base b of n), and the running time of Loop2 is O(n). When b is equal to 2, Loop2 has the fastest running time.

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Let x be an even integer then x+2 is the next consecutive even integer.

We need to look at \((x+2)^2 - x^2\), since that's the difference between the squares of any two consecutive even integers.

\((x+2)^2 - x^2 = x^2 + 4x + 4 - x^2\)

                     \(=4x+4\)

                     \(=4(x+1)\)

Since that difference is 4 times something, it is a multiple of 4.

Answer:

a) CE=PR

b) TR=FE

c) <F=<T

d) <P=<C

e) RPT=ECF

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: the answer is 50

Step-by-step explanation:

Answer:

please see the photo above for detailed analysis.

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

(a) ab l 1 bc l = ab + bc

(b) cd l 1 db l = cd - db

(c) db l 2 ab l = 2ab + db

(d) dc l 1 ca l 1 ab = -ab + ca + dc

In each of the given combinations of vectors, we need to add or subtract the given vectors.

In case (a), the vectors are parallel and have the same direction, so we can simply add them to get the resultant vector: ab + bc = ac.

In case (b), the vectors are also parallel and have opposite directions, so we can subtract them to get the resultant vector: cd - db = cb.

In case (c), we need to double the vector db and subtract it from vector ab to get the resultant vector: ab - 2db = ab - db - db = ac - db.

In case (d), we need to add vector dc and subtract vectors ca and ab to get the resultant vector: dc - ca - ab = db. Therefore, the resultant vectors are: (a) ac, (b) cb, (c) ac - db, (d) db.

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Answer: 1,145,375cm^3

Step-by-step explanation:

Answer: Answer in photo below.

Hope this helps!

Answer:

they are exacly the same

Step-by-step explanation:

Answer:

60+26=86. 90-86=4. So 4 is the answer.

Step-by-step explanation:

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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