Find the reference angle for a rotation of 253º.

Answer:with what

Step-by-step explanation:

Answer:

4054

Explanation:

171 is the three-digit palindrome that ends with 71

3883 is the four-digit palindrome that ends with 83

171 + 3883 = 4054

Answer:

It is a positive slope.

The slope is 2 over 4 (2/4) or 1/2.

The equation would be Y= 1/2x + 3.

Answer:

D. \(\frac{1}{9} = 0.111...\)

Step-by-step explanation:

\(\frac{11}{100} = 0.11\)

\(\frac{1}{11} = 0.0999...\)

\(\frac{1}{10} = 0.1\)

\(\frac{1}{9} = 0.111...\)

Answer:

y = (3/-2)x + 4.

Step-by-step explanation:

slope intercept form is y = mx + b

1. Lets first look for the y intercept (b). On the graph the line intercepts the y axis at 4. 4 is our b.

2. To find the slope (m) remember rise over run. Counting from lower dot, it goes up 3 and left 2. 3/-2. The two is negative because it is decreasing (towards the left of the graph).

3. Now plug the numbers into slope intercept form. y = (3/-2)x + 4.

Answer: Mikes home street address number = 52233

Step-by-step explanation:

We need to make a 5 digit number such that

Two digits have values of 50,000 and 200 .

The digits in the ones place is 3 .

Now number is like 50,000 +x + 200 + y + 3  (ten thousand >  thousand > Hundred > tens > ones )

Need values for :  thousands place and tens place

The value of each of the other digits is ten times the value of the digits on its right .

thousands place value (x)= 200 x 10 = 2000

tens place value (y)= 3 x 10 =30

Required number =  50,000 +2000 + 200 + 30+ 3  = 52,233

∴Mikes home street address number = 52233

Answer:

Step-by-step explanation:

It will take approximately 8.84 years for the car's value to be $5000.

We can use the formula for exponential decay to find the time it takes for the car's value to reach $5000:

V = V0 * \(e^{(-rt)\)

where V is the current value, V0 is the initial value, r is the decay rate, and t is the time in years. We can rearrange this formula to solve for t:

t = -ln(V/V0) / r

Plugging in the given values, we get:

t = -ln(5000/17000) / (-0.17) = 8.84 years (rounded to two decimal places)

Therefore, it will take approximately 8.84 years for the car's value to be $5000.

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Step-by-step explanation:

decrease by 20%

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Taking into account the definition of complementary event, the correct answer is option A: the probability of the complementary event is 81.2%.

A complementary event is made up of the inverse of the results of another event. That is, That is, given an event A, a complementary event is verified as long as the event A is not verified.

Mathematically, the probability of occurrence of the complementary event A' will be 1 minus the probability of occurrence of A:

P(A´)= 1- P(A)

In this case, you know P(A)= 18.8%=0.188

Replacing in the definition of complementary event:

P(A´)= 1- 0.188

Solving:

P(A´)= 0.812= 81.2%

Finally, the probability of the complementary event is 81.2%.

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When k is o doesn't satisfy the equation.

Value of \($\mathrm{k}=(?)$\), equation \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) has equal roots.

\(& \Rightarrow \mathrm{kx}(\mathrm{x}-2)+6=0 \\\)

\(& \mathrm{kx} x^2-2 \mathrm{kx}+6=0 \\\)

two roots of quadratic equation

\(& \alpha, \beta= \frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^2-4 \mathrm{ac}}}{2 \mathrm{a}} \\\)

\(& \alpha, \beta= \frac{+2 \mathrm{k} \pm \sqrt{(-2 \mathrm{k})^2-4 \times 6 \times \mathrm{k}}}{2 \times \mathrm{k}} \\\)

\(& \alpha, \beta=2 \mathrm{k} \frac{\pm \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(\alpha=\beta \\\) The roots are qual

\(& \Rightarrow \frac{2 \mathrm{k}+\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}}=\frac{2 \mathrm{k}-\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(& \Rightarrow 2 \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}^2-24 \mathrm{k}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}(\mathrm{k}-6)=0 \\\)

\(& \Rightarrow \mathrm{k}=0 \text { or } \mathrm{k}=6\)

\($\Rightarrow \mathrm{k}=6[\because \mathrm{k} \equiv 0]$\) as\($\mathrm{k}=0$\)  doesn't satisfy the equation.

The complete question is,

For what value of \($\mathrm{k}$\), are the roots of the quadratic equation, \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) equal?

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Answer:

Step-by-step explanation:

39 + 48 = 87 pounds to start with

87 - 13 = 74 pounds after spilling

74 / 7 = 10 bricks

4 pounds washed out

Given:

A figure is given.

Required:

Find the value of x and y.

Explanation:

Two lines are intersecting each other at a point so the opposite angles will be vertically opposite angles.

The vertically opposite angles are equal so

We know that the sum of linear angles is 18 degrees.

Substitute the value of x in the equation.

So the values are

Final Answer:

Option b is the correct answer.

Answer: 5x+4

Step-by-step explanation: add the terms and combine

The lines given, based on the picture, can be said to be skew.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result.

Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. These lines go on forever in both directions.

The picture shows lines on steps. These steps therefore exist on different planes but are not parallel. They must therefore be skew.

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The mean is the average value of a set of data. To calculate the mean, you add up all the data values and then divide the sum by the number of values in the set.

For the first sample with data values of 10, 20, 11, 17, and 12, the mean can be calculated as follows:
(10 + 20 + 11 + 17 + 12) / 5 = 70 / 5 = 14

So, the mean of this sample is 14.

The median is the middle value in a set of data when the data is arranged in order. If there is an even number of values, the median is the average of the two middle values.

For the first sample with data values of 10, 20, 11, 17, and 12, the median can be calculated as follows:
First, arrange the data in order: 10, 11, 12, 17, 20
Since there are 5 values, the middle value is the third value, which is 12.

So, the median of this sample is 12.

Now, let's move on to the second sample with data values of 10, 20, 21, 18, 16, and 17.

To calculate the mean:
(10 + 20 + 21 + 18 + 16 + 17) / 6 = 102 / 6 = 17

So, the mean of this sample is 17.

To calculate the median:
First, arrange the data in order: 10, 16, 17, 18, 20, 21
Since there are 6 values, the middle values are the third and fourth values, which are 17 and 18. To find the median, we take the average of these two values:
(17 + 18) / 2 = 35 / 2 = 17.5

So, the median of this sample is 17.5.

Lastly, let's consider the third sample with data values of 51, 54, 71, 58, 65, 56, 51, 69, 56, 68, and 51.

To calculate the mean:
(51 + 54 + 71 + 58 + 65 + 56 + 51 + 69 + 56 + 68 + 51) / 11 = 660 / 11 = 60

So, the mean of this sample is 60.

To calculate the median:
First, arrange the data in order: 51, 51, 51, 54, 56, 56, 58, 65, 68, 69, 71
Since there are 11 values, the middle value is the sixth value, which is 56.

So, the median of this sample is 56.

Please note that the mode refers to the value(s) that appear most frequently in a set of data. In the given questions, mode is not requested for the first and second samples. However, if you need to calculate the mode for the third sample, it would be 51, as it appears three times, which is more than any other value in the set.

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9514 1404 393

Answer:

  A = 22.5°, 45°, 112.5°, 202.5°, 225°, 292.5°

Step-by-step explanation:

Use the angle reduction formula to reduce this to an expression involving only sine or cosine, then solve the resulting higher-degree polynomial.

   sin(3x) = 3sin(x) -4sin³(x)

Using the identity for cosine, we have the radical equation ...

  √(1 -sin²(A)) = 3sin(A) -4sin³(A)

Squaring both sides, we have ...

  1 - sin²(A) = 9sin²(A) -24 sin⁴(A) +16sin⁶(A)

Letting z = sin²(A), this is the cubic equation ...

  1 -z = 9z -24z² +16z³

  16z³ -24z² +10z -1 = 0

Solving this by the usual methods, we find its factors to be ...

  (2z -1)(8z² -8z +1) = 0

  8(2z -1)((z -1/2)² -1/8) = 0 . . . . quadratic in vertex form

Then the roots are ...

  z = (1 ±√(1/2))/2, z = 1/2

The angle solutions are ...

  A = arcsin(±√z)

Of course, these need to be adjusted to fall in the domain of interest, and checked for extraneous solutions.

For z = 1/2-√(1/8), the angles are ...

  A = ±22.5°  ⇒  22.5°, 157.5°, 202.5°, 337.5°

For z = 1/2, the angles are ...

  A = ±45°  ⇒  45°, 135°, 225°, 315°

For z = 1/2+√(1/8), the angles are ...

  A = ±67.5°  ⇒  67.5°, 112.5°, 247.5°, 292.5°

The angles that are in bold are the actual solutions; the others are extraneous.

_____

All of the above is "the hard way." A much simpler approach is to take advantage of the identity ...

  cos(a) -sin(b) = (1/2)·sin(b/2 -a/2 -π/4)·sin(b/2 +a/2 -π/4)

Then you can use the zero product rule to find (for a=A, b=3A) ...

  (3A/2 -A/2 -π/4) = nπ  ⇒  A = nπ +π/4  ⇒  45°, 225°

  (3A/2 +A/2 -π/4) = nπ  ⇒  A = (nπ +π/4)  ⇒  22.5°, 112.5°, 202.5°, 292.5°

_____

Rewriting the equation as a function equal to zero, the solutions are the x-intercepts of the graph. In the attached, the x-axis is set to degrees.

  f(A) = cos(A) -sin(3A) = 0

Answer:

C

Step-by-step explanation:

When an equation has infinitely many solutions, what we have on the right is also what we have on the left side of the equation

Let’s take a look at the third equation;

5.1 + 2y + 1.2 = -2 + 2y + 8.3

5.1 + 1.2 + 2y = 2y + 8.3-2

6.3 + 2y = 2y + 6.3

This equation has infinitely many solutions

Answer: No

Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.

To find the answer to this question, we need additional information such as the fatality rate per mile of driving for cars. Therefore, it is not possible to calculate how many miles must be driven before a fatality is expected.

The average speed of a car, which is 50 miles per hour, is not enough information to determine how many miles must be driven before a fatality is expected. The risk of a fatality occurring during a car ride depends on many factors such as driving behavior, road conditions, weather, vehicle safety features, and many other variables.A fatality rate is the number of fatalities per a certain amount of driving. For example, a fatality rate of 1.2 deaths per 100 million miles driven means that 1.2 people died per every 100 million miles driven.

According to the National Highway Traffic Safety Administration (NHTSA), the fatality rate per 100 million vehicle miles traveled in 2019 was 1.11. This means that for every 100 million miles traveled in motor vehicles, 1.11 people died.Assuming that a car travels at an average speed of 50 miles per hour, it does not give information about how far the car has traveled or how long it has been on the road. Therefore, the information given in the question is insufficient to determine how many miles must be driven before a fatality is expected.

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a. The subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b. Each persοn wοuld pay $13.84.

The additiοn is a basic arithmetic οperatiοn that cοmbines twο οr mοre quantities intο a single sum. It is οne οf the fοur basic οperatiοns in arithmetic, alοng with subtractiοn, multiplicatiοn, and divisiοn.

In additiοn, the quantities being cοmbined are called addends, and the result οf the additiοn οperatiοn is called the sum. The additiοn is represented using the plus sign (+), which is placed between the addends. Fοr example, the additiοn expressiοn "3 + 5" means that we are adding 3 and 5 tοgether tο get a sum οf 8.

Fοr example, tο add the numbers 34 and 56, we start by adding the digits in the οne's place, which gives us 4 + 6 = 10. We write dοwn the 0 and carry the 1 οver tο the tens place. Then we add the digits in the tens place, which gives us 3 + 5 + 1 = 9. The final answer is 90.

a: Subtοtal = Hamburger + Guacamοle + Cheeseburger + Fries + Sοda + Milk

Subtοtal = $7.99 + $1.00 + $8.99 + $2.49 + $1.99 + $0.99

Subtοtal = $23.45

Tip = 18%×Subtοtal

Tip = 0.18 × $23.45

Tip = $4.22 (rοunded tο the nearest cent)

Tοtal = Subtοtal + Tip

Tοtal = $23.45 + $4.22

Tοtal = $27.67 (rοunded tο the nearest cent)

Therefοre, the subtοtal is $23.45, the tip is $4.22, and the tοtal cοst οf their meal is $27.67.

b: If Sue and her friend split the final cοst equally, each persοn wοuld pay half οf the tοtal cοst:

$27.67 / 2 = $13.84 (rοunded tο the nearest cent)

Therefοre, each persοn wοuld pay $13.84.

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no; The sum of the angle measures is greater than 180°, so the endpoints of the sides cannot meet.

Answer:

no

Step-by-step explanation:

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

Bob's gift shop sold a total of 825 cards for Mother's Day.

To calculate the total number of cards sold for Mother's Day, we can use the following formula:

Total Cards Sold = (Number of Cards Sold by Salesman) / (Percent of Cards Sold by Salesman)

In this case, the total number of cards sold for Mother's Day would be calculated as:

Total Cards Sold = (33 cards) / (4%)

Using the above formula, the total number of cards sold for Mother's Day would be 825 cards.

To arrive at this answer, we first converted 4% to a decimal by dividing it by 100. This gave us 0.04. We then divided 33 cards by 0.04 to get 825 cards.

Therefore, Bob's gift shop sold a total of 825 cards for Mother's Day.

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Answer:

5 x 24 = 120

120 pf= 2 x 2 x 2 x 3 x 5

or the answer is

2^3    x 3 x 5

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

total number of tickets sold = x + y = 9 + 18 = 27. So, Darius sold 27 tickets altogether.

what is an algebraic expression?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division) that represent a quantity.

Let x be the number of children's tickets sold, and let y be the number of adult tickets sold.

From the problem statement, we know that:

The price of a children's ticket is $4.50

The price of an adult ticket is $6.50

The total amount collected is $157.50

The number of adult tickets sold is twice the number of children's tickets sold

Using this information, we can set up the following system of equations:

x + y = total number of tickets sold (equation 1)

4.5x + 6.5y = 157.5 (equation 2)

y = 2x (equation 3)

We can use equation 3 to substitute y in terms of x in equations 1 and 2:

x + 2x = total number of tickets sold (substitute y = 2x from equation 3 into equation 1)

4.5x + 6.5(2x) = 157.5 (substitute y = 2x from equation 3 into equation 2)

Simplifying these equations, we get:

3x = total number of tickets sold (simplifying the left side of the first equation)

17.5x = 157.5 (simplifying the second equation)

x = 9 (dividing both sides of the second equation by 17.5)

Therefore, the number of children's tickets sold is x = 9, and the number of adult tickets sold is y = 2x = 2(9) = 18.

To find the total number of tickets sold, we can add x and y:

therefore, total number of tickets sold = x + y = 9 + 18 = 27

So, Darius sold 27 tickets altogether.

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Answer:

Yes that is correct

Step-by-step explanation:

Answer:

4 : 1

Step-by-step explanation:

Answer:

B = 135

Step-by-step explanation:

An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:

135 × 8 = 1080.

Hope this helped.

x + y = 150

x - y = 100

______

x = hoodie

y = shoes

x = 150 - y

150 - y = 100 + y

50 = 2y

y = 25

x = y + 100

x = 25 + 100

x = 125

please give brainliest

Answer:

125

Step-by-step explanation:

it's unequal sharing

150-100=50

50/2=25

hoodie=100+25=$125

hope it helps