What is 100 + 101 + 102 equal to?
A.
10,201
B.
120
C.
111
D.
110
E.
100

Answer:

x=

Step-by-step explanation:

Answer:

Do you have a picture that goes with the question that you can post?

Step-by-step explanation:

Answer:

Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm.

The Cartesian equation of the curve is x = 4sin2θ + 8 and y = 8sin2θ + 8sinθcosθ.

To find the Cartesian equation of the curve r = 8sinθ + 8cosθ, we can use the following relationships:

x = rcosθ

y = rsinθ

Substituting r = 8sinθ + 8cosθ, we get:

x = (8sinθ + 8cosθ)cosθ

y = (8sinθ + 8cosθ)sinθ

Simplifying the expressions:

x = 8sinθcosθ + 8cos2θ

y = 8sin2θ + 8sinθcosθ

Using the identity cos2θ + sin2θ = 1, we can simplify x as:

x = 8sinθcosθ + 8(1 - sin2θ)

x = 8sinθcosθ + 8 - 8sin2θ

Using the identity 2sinθcosθ = sin2θ, we can simplify x further as:

x = 4sin2θ + 8

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The angles in the triangle are as follows:

m∠S = m∠Q = 58°

m∠T = 64°

The unknown angles in the triangle can be found as follows:

In the triangle STQ, ST = TQ and SD is perpendicular to TQ.

Therefore, let's find the unknown angles as follows:

Hence, base on ST = TQ, STQ is an isosceles triangle. Therefore,

m∠S = m∠Q

Therefore,

m∠Q = 180 - 90 - 32

m∠Q = 58 degrees

m∠S = m∠Q = 58 degrees

Finally,

m∠T = 180 - 58 - 58

m∠T = 64 degrees

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Answer:

1. D

2. A

3. -1/3

4. 1/2

5. 2/3

Answer(s):

1. C. The graph has a slope of 0. (The slope is the change in the value of y over the change in the value of x--also known as rise over run--and there is no "slope" in this horizontal line. Think of slope like the steepness of a hill. If there is no steepness, then there is no slope.)

2. A. The graph decreases from left to right. (A negative slope is doing down a hill while positive is going up. So, if it's going down, then it's decreasing from left to right. Draw it out to better understand it if you're still confused.)

3. m =  \(-\frac{1}{3}\)  (Slope is rise over run. If the y is going down, it's a negative change. If up, then positive. For the x, if it's going to the right--or forwards, if your think about it, then it's positive and negative when going towards the negative left side. In this graph, the y decreases by one and the x increases by three. x/y would result in -1 over 3.)

4. m =  \(\frac{1}{2}\) (If there are no plotted points for you, just pick two points from the graph! Find the change in y and the change in x, put it in the format m = y/x and simplify if needed.)

5. m = \(\frac{2}{3}\) (Like in no. 4, find the changes in y over x. Then, simplify if needed. For example, the rise over run of two points I found was 4/6, which is 2/3.)

The two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

Study 1 was carried out by the National Cancer Institute and Harvard University, and they collected information about the exercise habits of around 661,000 middle-aged adults from six large ongoing health surveys. They then divided the data into various segments based on the weekly exercise time as a parameter.

The group with no exercise had the highest risk of premature death. Minimal exercise that is less than the recommended levels could still reduce the risk of premature death by 20%.

The group that followed the standard exercise guidelines of 150 min/week of moderate exercise had a 31% lower probability of premature death. Individuals who exercised three times the recommended levels had the best benefits, with a 39% reduction in the risk of premature death.

However, increasing the exercise time did not have a significant effect on mortality risk rates. Study 2 was conducted by James Cook University in Cairns. They collected health survey data for over 200,000 Australian adults, which was then analyzed with corresponding death statistics. Their analysis was more detailed than the first study since they divided the data according to exercise stress levels ranging from normal to strenuous.

The results were similar to the first study, but there were some additional findings. The study showed that adhering to the general recommended exercise guidelines substantially decreased the risk of premature death, even with moderate exercise like walking. Intense exercise had little to no effect on mortality rates.

However, those who spent up to 30 percent of their weekly exercise time in vigorous activities were 9 percent less likely to die prematurely. With more than 30% of their time dedicated to strenuous activities, people gained an extra 13% reduction in early mortality, compared with people who stuck to moderate exercise levels. Very high levels of intense exercise did not improve mortality risk rates significantly.

In conclusion, the two studies indicate that 150 minutes of intense exercise per week is effective in reducing mortality risks.

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Answer:

2x^3 + 3x^2 -27x +40

Step-by-step explanation:

(x+5) (2x²-7x+8)

2x^3 + 3x^2 + 8x + 10x^2 - 35x + 40

2x^3 + 3x^2 - 27x + 40

Answer: 18 and 37

Step-by-step explanation:

The answers should be 18 and 37, I am very sorry if these answers are incorrect.

Answer:

4 twenty dollar bills = 20 x 4

                                = 120

Thus, the answer is 120 dollars.

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

compute the slope  first-

(-2,1) and (2,9)

m = 9-1/2-(-2) = 8/2+2= 8/4 = 2

knowing the slope take a given point  and substitute  it's x and y values into the equation to solve for 'b' the y-intercept-

y = mx + b,

1 = 2(-2) + b,

1 = -4+ b,

b = 5

our  equation is  y = 2x + 5

if you want an equation parallel  to the line  it  has to have the same slope. Take y = 2x

Answer: y=2x+5

Step-by-step explanation:

To find line a in slope-intercept form, we first want to find the slope. The formula for slope is \(m=\frac{y_2-y_1}{x_2-x_1}\).

\(m=\frac{9-1}{2-(-2)} =\frac{8}{4}=2\)

Now that we know the slope, we can plug in any point to find the y-intercept.

y=2x+b       [plug in any point]

9=2(2)+b    [multiply]

9=4+b         [subtract both sides by 4]

b=5

The final equation is y=2x+5.

Answer:

.2

Step-by-step explanation:

Answer:

.20

Step-by-step explanation:

1 divided by 5 is .20

The inequality notation is given as 6 ≤ x ≤ 7.

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given expression is as below,

(−∞,−7] ∪ [6,∞)

In order to express it in terms of inequality, suppose the variable is x.

Now, (−∞,−7] is an interval that excludes minus infinity and includes 7.

The inequality expression for this interval is,

−∞ < x ≤ 7.

Similarly, for  [6,∞) it can be written as,

x ≥ 6.

Thus, the expression for (−∞,−7] ∪ [6,∞) is the intersection of −∞ < x ≤ 7 and x ≥ 6 which is given as,

6 ≤ x ≤ 7

Hence, the inequality notation for the given interval is 6 ≤ x ≤ 7.

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Answer:

Row n ---> 27th term is 27.

Row T ---> 27th term is 80.

Step-by-step explanation:

To find the 27th term for the top row, row n, you will use this formula:

an = a1 + f × (n-1)

The first number = 1

The common difference (f) = 1

a27 = 1 + 1 × (27-1)

a27 = 1 + 27 - 1

a27 = 28 - 1

a27 = 27

So, the 27th term is 27.

We will do the same for the row T.

an = a1 + f × (n-1)

The first number = 2

The common difference (f) = 3

a27 = 2 + 3 × (27-1)

a27 = 2 + 81 - 3

a27 = 83 - 3

a27 = 80

So, the 27th term is 80.

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal

Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x

The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x

For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:

$19 + $0.13x =  $24 + $0.08x

Solving for x:

\($19 + $0.13x = $24 + $0.08x\\0.13-0.08=24-19\\0.05x=5\\x=5/0.05=100\\x=100\ minutes\)

It would take 100 minutes of calls for the costs of the two plans to be equal

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

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By analyzing the graph, we will see that the inequality is:

y > 2x + 1

From a first look, we can see two things.

From that we can conclude that the inequality is something like:

y > line.

To find the equation of the line, we can look at the graph.

We can see that it intercepts the y-axis at y = 1, and for each increase of one unit in the x-axis increases 2 units on the y-axis, so the line is:

2x + 1

Then the inequality is:

y > 2x + 1.

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The measure of angle 11x+1 is 100°.

According to the question,

We have the following information:

We have a figure where two parallel lines are divided by a line. We know that the vertically opposite angles are equal. And when two parallel lines are cut by another line then the alternate interior opposite angles are equal.

Now, we have 10x+10 as the alternate opposite interior angle to 11x+1.

So, we have the following expression:

10x+10 = 11x+1

11x-10x = 10-1

x = 9

Putting the value of x in 11x+1:

11*9+1

99+1

100°

Hence, the measure of angle 11x+1 is 100°.

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Expected chances to flip two heads and one tail after flipping three coins  32 times. over these 32 trials are 8times.

" Possible outcomes is defined as the number of expected chances for given event to occur."

According to the question,

Total number of trials = 32

Possible outcomes for tossing 3 coins  = { HHH, HHT, TTH, TTT}

Possible outcomes represents 4trials

Three coins are tossed 32 times times

 32 =  4 × 8

Therefore, such sets occurs 8times.

Expected chances for  {HHT} to occur in 32 trials = 8 times

Hence, expected chances to flip two heads and one tail after flipping three coins  32 times. over these 32 trials are 8times.

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Where k is a constant

When y = 36 , x = 3 , z=3

The value of y is 40

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Let's denote the probability of selecting the correct answer for each question as p. Since there are 5 possible answers and only one correct answer, p = 1/5 = 0.2. The number of questions, n, is 20.

The probability of passing the test by randomly guessing every question can be calculated using the binomial probability formula. To pass the test, you need a score of at least 30.4%. This means you need to answer at least 6 out of the 20 questions correctly. To calculate the probability of passing, we sum up the probabilities of getting 6, 7, 8, ..., 20 questions correct:

P(pass) = P(X ≥ 6) = P(X = 6) + P(X = 7) + ... + P(X = 20)

Using the binomial probability formula, we can calculate each individual probability and then sum them up. The formula is:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where C(n, k) is the number of combinations of n items taken k at a time, which can be calculated as C(n, k) = n! / (k! * (n - k)!).

Using this formula, we calculate the probability for each value of k and sum them up:

P(pass) = P(X = 6) + P(X = 7) + ... + P(X = 20)

After calculating all the probabilities and summing them up, the resulting probability will give you the chance of passing the test by random guessing.

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Those activities that enable a person to describe in the detail the system that solves the need is called "System design".

The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.

Some key features regarding the system design are-

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Answer:

a number that goes beyond zero e.x. 56

Step-by-step explanation:

Answer:

are any numbers greater than zero. They appear to the right of zero on a number line

The simplified forms of the radical expressions:

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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