Select all the sets of numbers that are possible values for x in the inequality, x>- 2.
{-1, 0,5}
{2, 4, 6}
{ - 2, 0, 2}
{-6, - 4, -2}

Answer:

25°

Step-by-step explanation:

25° because opposite angles are equal

the blue angle 25° is opposite the yellow angle x° making x=25°

Answer:

x = 25°

Step-by-step explanation:

We can see that the 25° and x° are vertical to each other and vertical angles are angles that are the same size and directly opposite each other thus they are equal!

1) QS is perpendicular to PR and PQ=QR (given)

2) QS=QS (reflexive property)

3) Angles PQS and RQS are right angles (perpendicular lines form right angles)

4) \(\angle PQS=\angle RQS\) (all right angles are equal)

5) \(\triangle PQS \cong \triangle RQS\) (SAS)

Answer:

1.2 miles per hour

Step-by-step explanation:

I did this a long time time ago but I believe I am correct.

Hope this helps!

You have $2.30 and would like to buy some rice flour buy 9.2 ounces of rice flour with $2.30.

To arrive at this answer, we need to first convert the price per pound to price per ounce. There are 16 ounces in a pound, so the price per ounce is $4/16 = $0.25 per ounce.

Next, we divide the amount of money you have ($2.30) by the price per ounce ($0.25).

$2.30/$0.25 = 9.2 ounces.

Therefore, the conclusion is that you can buy 9.2 ounces of rice flour with $2.30.
Hi! I'm happy to help you with your question.


You can buy 9.2 ounces of rice flour.


1. First, we need to find out how many dollars you have per ounce of rice flour: $4 per pound / 16 ounces per pound = $0.25 per ounce.
2. Next, we'll determine how many ounces of rice flour you can buy with $2.30: $2.30 / $0.25 per ounce = 9.2 ounces.


With $2.30, you can buy 9.2 ounces of rice flour at the given price of $4 per pound.

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Answer:

d

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency using algebra.

First, let's calculate how much money Kathy will withdraw in pounds and euros. She wants to withdraw half of her $300$ US dollars in each currency, so that would be $150$ US dollars for each.

To find the amount in pounds, we can divide $150$ US dollars by the exchange rate of $1.64$ USD per pound:

Amount in pounds = $\frac{150}{1.64} \approx 91.46$ pounds.

To find the amount in euros, we can divide $150$ US dollars by the exchange rate of $1.32$ USD per euro:

Amount in euros = $\frac{150}{1.32} \approx 113.64$ euros.

Rounding both amounts to the nearest whole number, Kathy will have approximately $91$ pounds and $114$ euros.

To determine how many more euros than pounds she will have, we subtract the amount in pounds from the amount in euros:

$114$ euros - $91$ pounds = $23$ more euros than pounds.

Therefore, Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency.

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The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

The linear function which represents the line given by the point-slope equation y – 2 = 4(x – 3) will be:

Hence, option D is correct.

Step-by-step explanation:

We know that the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where

Given the equation

y – 2 = 4(x – 3)

comparing with the point-slope form of the line equation, we get

m = 4

(x₁, y₁) = (3, 2)

We also know the slope-intercept form of the line equation

y = mx + b

where m is the slope and b is the y-intercept

since we already fetched m = 4 and (x₁, y₁) = (3, 2)

so substitute m = 4 and (3, 2) in the slope-intercept form of the line equation to determine the y-intercept b

y = mx + b

2 = 4(3) + b

2 = 12 + b

flip the equation

12 + b = 2

subtract 12 from both sides

12 + b - 12 = 2 - 12

b = -10

now substitute b = -10 and m = 4 in the slope-intercept form of the line equation

y = mx + b

y = 4x + (-10)

y = 4x  - 10

f(x) = 4x - 10       ∵ y = f(x)

Therefore, the linear function which represents the line given by the point-slope equation y – 2 = 4(x – 3) will be:

Hence, option D is correct.

Answer:

(D). f(x) = 4x – 10

Step-by-step explanation:

♥☺

The complementary event of rolling a die and getting a number less than three is that the six-sided die is rolled and the outcome is greater than three. Where P = n < 3  is the event and its complement is P' = n > 3.

The sample space of all outcomes that are not the event in question is the complement of an event. The inverse of "a flipped coin lands on heads" is "a flipped coin lands on tails."

If the chance of drawing a red marble from a bag is 26%, the chance of the complement (picking a non-red marble ) is 74%.

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Jeremy have the fastest speed of 10.16 m/s while Tim and Martin had a speed of 7.62 m/s and 5.83 m/s respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

1 yard = 0.9144 m, hence 100 yard = 91.44 m

1 ft = 0.3048 m, hence 400 ft = 121.92 m

Tim speed = 91.44 m / 12 s = 7.62 m/s

Jeremy speed = 121.92 m / 12 s = 10.16 m/s

Martin speed = 70 m / 12 s = 5.83 m/s

Jeremy have the fastest speed of 10.16 m/s while Tim and Martin had a speed of 7.62 m/s and 5.83 m/s respectively

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Answer:

8/21

Step-by-step explanation:

Area of a rectangle is L*W so for only the shaded bits of the rectangle the length (1/7*4) would be 4/7 and the width would be (1/3*2) so 2/3. then you would multiply them togehter by finding multiplying the bottoms togther  and the tops together (4*2)/(7*3) this gives 8/21. Hope this helps!!

Answer:

244

Step-by-step explanation:

\(544 - 300 = \\ 244\)

Answer:

Exact: 9.42

Approx: 9

Step-by-step explanation:

The area of a circle is pi*radius^2 (pi=3.14 r=radius ^2= power of 2/squared)

The diameter is two times the radius. So, we need to divide the diameter by two for the first step of solving this.

6/2=3

Now, we know the radius is 3.

Let's square it:

3^2= 3*3

3*3=9

Now, the last step is to multiply it by pi (3.14)
3.14*3=9.42

There we go! The area is 9.42 feet!

Answer:

The rate of change, or slope, is 1/2.

To find the slope of a line, first, pick two points on the line and determine their coordinates. Then, determine the difference in y-coordinates of these two points (rise). After that, determine the difference in x-coordinates for these two points (run). Then you have your slope!

So

Total students

Synonym for the word split is given by many words like tear, to break apart,  bisect or divide it into parts and so.

Explanation:

Synonym of the given word split is given by:

Many words represents the synonym of the word split.

Therefore, the synonym of the given word split is given by cleave, tear, divide it into two equal parts.

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Answer:

5.5

Step-by-step explanation:

x＋3＝8.5

or，x＝5.5

I hope it helped you

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The inverses modulo m for the given pairs of relatively prime integers are:

a) Inverse of 4 modulo 9 is 1.

b) Inverse of 19 modulo 141 is 1.

c) Inverse of 55 modulo 89 is 1.

d) Inverse of 89 modulo 232 is 1.

To find the inverse of a modulo m for each pair of relatively prime integers, we can use the Extended Euclidean Algorithm. The inverse of a modulo m is a number x such that (a * x) mod m = 1.

a) For a = 4 and m = 9:

We need to find the inverse of 4 modulo 9.

Using the Extended Euclidean Algorithm, we have:

9 = 2 * 4 + 1

4 = 4 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 4 modulo 9 is 1.

b) For a = 19 and m = 141:

We need to find the inverse of 19 modulo 141.

Using the Extended Euclidean Algorithm, we have:

141 = 7 * 19 + 8

19 = 2 * 8 + 3

8 = 2 * 3 + 2

3 = 1 * 2 + 1

2 = 2 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 19 modulo 141 is 1.

c) For a = 55 and m = 89:

We need to find the inverse of 55 modulo 89.

Using the Extended Euclidean Algorithm, we have:

89 = 1 * 55 + 34

55 = 1 * 34 + 21

34 = 1 * 21 + 13

21 = 1 * 13 + 8

13 = 1 * 8 + 5

8 = 1 * 5 + 3

5 = 1 * 3 + 2

3 = 1 * 2 + 1

2 = 2 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 55 modulo 89 is 1.

d) For a = 89 and m = 232:

We need to find the inverse of 89 modulo 232.

Using the Extended Euclidean Algorithm, we have:

232 = 2 * 89 + 54

89 = 1 * 54 + 35

54 = 1 * 35 + 19

35 = 1 * 19 + 16

19 = 1 * 16 + 3

16 = 5 * 3 + 1

3 = 3 * 1 + 0

The last nonzero remainder in the algorithm is 1. So, the inverse of 89 modulo 232 is 1.

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Given data:

The fisrt point is (a,b)=(3,3).

The second point given is (c,d)=(1,7).

The

If the coefficient of determination is 0.233, then the percentage of data about the regression line explained is 23.3% , the correct option is (c) .

The coefficient of determination is defined as a statistical measure which represents the proportion of the variance in the dependent variable that is predictable from the independent variable.

An R-squared value of 0.233 means that 23.3% of the variance in the dependent variable can be explained by the independent variable.

In other words, about 23.3% of the data about the regression line is explained.

Therefore, the correct answer is (c) 23.3%.

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The given question is incomplete , the complete question is

If the coefficient of determination is 0.233, what percentage of the data about the regression line is explained?

(a) 76.7%

(b) 46.6%

(c) 23.3%

(d) 5.43%

Answer:

5/9 6/9 7/9 8/9

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

B. Good

Step-by-step explanation:

26-35 age group:

Excellent - 33/97

Good - 50/97

Average - 5/97

Poor - 9/97

Answer:

Would you mind including the ratios in the comments?

You didn't post any material to solve.

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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The position of the particle as a function of time is r(t) = -2cos(t)j - 8sin(t)k + 2j + 8tk.

Given r''(t) = -2cos(t)j - 8sin(t)k, r'(0) = 8k, and r(0) = 2j.

We can use the following steps to determine r(t) using integration:

Step 1: We can find r'(t) by integrating r''(t).

Thus, we obtain r'(t) = -2sin(t)j + 8cos(t)k + C1,

where C1 is a constant of integration.

To determine the value of C1, we use the initial condition r'(0) = 8k.

Thus, substituting t = 0 and r'(0) = 8k, we get

C1 = 8k - 2j.

Step 2: Integrating r'(t) gives us r(t) = -2cos(t)j - 8sin(t)k + C2 + 8tk,

where C2 is a constant of integration.

To find the value of C2, we use the second initial condition r(0) = 2j.

Therefore, substituting t = 0 and r(0) = 2j, we get

C2 = 2j + 8sin(0)k = 2j.

Step 3: Thus, r(t) = -2cos(t)j - 8sin(t)k + 2j + 8tk.

Therefore, the position of the particle as a function of time is r(t) = -2cos(t)j - 8sin(t)k + 2j + 8tk.

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