Answer the following. (a) Find an angle between 0° and 360° that is coterminal with 1260°. 19T (b) Find an angle between 0 and 2π that is coterminal with 10 Give exact values for your answers. ? (

The x-coordinate of the x-intercept of line k is -5/2.

Since this point lies on the x-axis, its y-coordinate is 0.

Given that the line has a y-intercept at the point (0, p), where p is a positive constant. This means that when x = 0, y = p.

As we know that the equation of the line can be written as y = mx + b, where m is the slope and b is the y-intercept.

Here, the slope is the negative of the fraction 2p/5, so the equation of line k is y = -2p/5 x + p.

Substitute y = 0 into the equation and solve for x:

0 = -2p/5 x + p

Subtract p from both sides and then multiply by 5/(-2p):

-2p/5 x = -p

x = (-p)(5/2p)

x = -5/2

Therefore, the x-coordinate of the x-intercept of line k is -5/2.

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Yes, we can determine the probability of one thing happening before another based on their expected time to occur.

A coin has two sides: one side ("heads") is side A and the other ("tails") is side B. A coin is tossed into the air and the question is what are the chances, the "probability" if you want it to land on side A. The probability of an event occurring describes the number of chances that the event occurred. The total probability of hitting A before B is the sum: P(A before B) = p + rp + r² + r³p + r⁴p + … = p[1 + r + r² + r³ + r⁴ + … ] and this determines the result. Thus, it is possible to determine the probability of one thing happening before another, based on their expected time to occur.

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Answer: -30 and 30

Step-by-step explanation:

Answer:

the number of 40cm lengths cut is 5.75 pieces

Step-by-step explanation:

The number of 40cm lengths cut is shown below:

= (Length of steel bar - two lengths) ÷ (length)

= (340 cm - 55 cm - 55cm) ÷ (40 cm)

= 230 cm ÷ 40 cm

= 5.75 pieces

Hence, the number of 40cm lengths cut is 5.75 pieces

We simply applied the above formula so  that the correct unit could come

Also the same is relevant

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

4x+36

Step-by-step explanation:

All you have to do is multiply the 4 by the numbers inside the parentheses.

4 times x is 4x

4 times 9 is 36

You can't find the answer since you don't know what x is.

I hope this helps, and have a great day! :)

There are 160 numbers between 1 and 500 that are multiples of one or more of 5, 6, or 7.

To solve this problem, we need to use the inclusion-exclusion principle.

First, we find the number of multiples of 5 between 1 and 500:

⌊500/5⌋ = 100

Similarly, the number of multiples of 6 and 7 between 1 and 500 are:

⌊500/6⌋ = 83

⌊500/7⌋ = 71

Next, we find the number of multiples of both 5 and 6, both 5 and 7, and both 6 and 7 between 1 and 500:

Multiples of both 5 and 6: ⌊500/lcm(5,6)⌋ = 41

Multiples of both 5 and 7: ⌊500/lcm(5,7)⌋ = 35

Multiples of both 6 and 7: ⌊500/lcm(6,7)⌋ = 29

Finally, we find the number of multiples of all three 5, 6, and 7:

Multiples of 5, 6, and 7: ⌊500/lcm(5,6,7)⌋ = 11

By the inclusion-exclusion principle, the total number of numbers that are multiples of one or more of 5, 6, or 7 is:

n(5) + n(6) + n(7) - n(5,6) - n(5,7) - n(6,7) + n(5,6,7)

= 100 + 83 + 71 - 41 - 35 - 29 + 11

= 160

Therefore, there are 160 numbers between 1 and 500 that are multiples of one or more of 5, 6, or 7.

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Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

The cartesian equation of the curve is x + y = 4.

To eliminate the parameter t, we can use the trigonometric identity

sin²(t) + cos²(t) = 1

Rearranging this equation gives

sin²(t) = 1 - cos²(t)

Substituting this into the equation for x

x = 4 sin²(t)

gives

x = 4 (1 - cos²(t))

Expanding and simplifying, we get

x = 4 - 4 cos²(t)

Similarly, substituting sin²(t) = 1 - cos²(t) into the equation for y

y = 4 cos²(t)

gives:

y = 4 (1 - sin²(t))

Expanding and simplifying, we get

y = 4 - 4 sin²(t)

Therefore, the cartesian equation of the curve is

x/4 + y/4 = 1

or equivalently

x + y = 4

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The given question is incomplete, the complete question is:

consider the following. x = 4 sin2(t), y = 4 cos2(t) (a) eliminate the parameter to find a cartesian equation of the curve.

The linear inequality of the graph is: -x + 2y + 1 > 0

First, we calculate the slope of the dashed line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Two points on the graph are:

(1, 0) and (3, 1)

The slope (m) is:

\(m = \frac{1 - 0}{3 - 1}\)

This gives

m = 0.5

The equation of the line is calculated as:

\(y = m(x -x_1) + y_1\)

So, we have;

\(y = 0.5(x -1) + 0\)

This gives

\(y = 0.5x -0.5\)

Multiply through by 2

\(2y = x - 1\)

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <.

Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

2y > x - 1

Rewrite as:

-x + 2y + 1 > 0

So, the linear inequality is: -x + 2y + 1 > 0

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Complete question

Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)

Answer:

A)  x ≥ 3 and x ≥ -2

The solution of the given equation

 x ≥ 3 and x ≥ -2

Step-by-step explanation:

Explanation:-

Given that x2 − x ≥ 6.

             ⇒ x² − x - 6.≥ 0

             ⇒ x² - 3 x + 2x -6 ≥ 0

             ⇒ x ( x-3) +2 ( x-3) ≥ 0

             ⇒ ( x -3) ( x+2) ≥ 0

               x -3 ≥ 0 and (x +2) ≥0

                x ≥ 3 and x ≥ -2

Final answer:-

The solution of the given equation

 x ≥ 3 and x ≥ -2

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Expressions for 'c' and 'd' in terms of 'a' will be \((d=4a)\) and \((c=a^2+8)\).

  In question number 12, it's given that \((a+\sqrt{8})^2\) can be written as \((c+d\sqrt{2})\).

So the expression representing the situation will be,

\((a+\sqrt{8})^2=(c+d\sqrt{2})\)

Now simplify the expression,

\(a^2+8+2a\sqrt{8}=c+d\sqrt{2}\)

\((a^2+8)+2a\sqrt{8}=(c+d\sqrt{2})\)

\((a^2+8)+4a\sqrt{2}=(c+d\sqrt{2})\)

Compare both the sides of the equation,

\(c=a^2+8\)

\(4a\sqrt{2}=d\sqrt{2}\)

\(d=4a\)

    Therefore, \((d=4a)\) and \((c=a^2+8)\) will be the expressions for c and d in terms of a.

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Answer:

1:  12x + 8                  

2:  21y  - 3

3:  15p + 20r

Step-by-step explanation:

Answer: x=8

Step-by-step explanation:

1) distribute 3x-6=18

2) simplify 3x=24

3) divide x=8

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(4x+3y=21\implies 3y=-4x+21\implies y=\cfrac{-4x+21}{3} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}}x+7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-4}\implies \cfrac{3}{4}}}\)

so we're really looking for the equation of a line whose slope is 3/4 and it passes through (4 , 2)

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=\cfrac{3}{4}x-1 \end{array}}\)

Answer:

Below.

Step-by-step explanation:

tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) = sinø(sin180-ø)

xcos(90+ø).(cos90-ø) =  sinø(sin180-ø) -  tan(180-ø).tan(90+ø)

x =  (sinø(sin180-ø) -  tan(180-ø).tan(90+ø)) / cos(90+ø).(cos90-ø)

x = - (sin^2ø + tanø(tan(90+ø)) / cos^2ø

The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9

A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.

The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.

Complete Question:

The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.

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The estimated amount of tax is 135 million

The actual amount received is 200 million

The difference means subtraction

Taking the absolution value means when we subtract, we find the positive value of the result

| estimated - actual |

| 135 million - 200 million |

| -65 million|

Taking the positive result

65 million

The absolute value of the difference in the estimate amount of the tax revenue generated and the actual amount received by the AZ department of Revenue is 65 million dollars.

Answer:

121

Step-by-step explanation:

work out x

sum of opposite angle =180

x=29

a = 180. - ( 2x29) +1

Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. Thus, to fill the fish tank completely with water, Jeffrey needs 7000 milliliters of water.

This is because 1 liter is equal to 1000 milliliters. Thus, 8 liters are equal to 8 × 1000 = 8000 milliliters.

Therefore, the amount of water Jeffrey needs to completely fill the fish tank is 8000 - 1000 = 7000 milliliters of water.

Jeffrey has a fish tank of 8 liters of water that already has 1 liter of water in it.

The amount of water Jeffrey needs to completely fill the fish tank is calculated by subtracting the liters of water already present in the tank from the total liters of water the tank can hold.To completely fill the fish tank, Jeffrey needs to fill the remaining 7 liters with water. One liter of water is equivalent to 1000 milliliters. Thus, Jeffrey needs to multiply the remaining liters of water he needs to fill by 1000 milliliters.

7 × 1000 = 7000

Therefore, Jeffrey needs 7000 milliliters of water to completely fill the fish tank with water.

To completely fill the fish tank, Jeffrey needs 7000 milliliters of water because he has already filled it with 1 liter of water, and the fish tank can hold 8 liters of water.

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Answer:

 The answer is 8

Step-by-step explanation:

Hope it helps :)

Answer:B

Step-by-step explanation:

I TOOK THE UNIT TEST ON EDGE 2021 HAVVE A GOODDAY

Answer:

106 bucks

Step-by-step explanation:

Answer:

x = - 1/6c + 1/6k

Step-by-step explanation:

...........

Answer:

I thinkkk its Option 2

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

The line is linear and the y-intercept hits at -1 so option 2 is correct.

Answer:

50/50 chance

Step-by-step explanation:

A coin only has 2 sides so when you flip it you will always have a 50/50 chance of landing on heads or tails

0<=x<=90 is the correct answer.The domain of the function V(x) = 0.1x, representing the Volume of water in the bucket after x seconds, is  0<=x<=90

The volume of water in the bucket after x seconds can be represented by the function V(x) = 0.1x, where x is the number of seconds.

To determine the domain of this function, we need to consider any restrictions on the independent variable x. In this case, the domain represents the possible values of x that make sense in the given context.

The rate at which Lourdes is filling the bucket is 0.1 gal/s. This implies that she can fill the bucket at a constant rate for any positive number of seconds. However, it is not meaningful to consider negative values for x, as we are interested in measuring time in seconds from the moment she starts filling the bucket

Therefore, the domain of the function representing the volume of water in the bucket after x seconds is x ≥ 0, which means x can take any non-negative value or zero.

The domain of the function V(x) = 0.1x, representing the volume of water in the bucket after x seconds, is x ≥ 0.

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DIscount = 121/2 % 0ff

Answer:

9.5 * 10^23 molecules of HCl

Step-by-step explanation:

just a note this might be better to put in the chem section next time since this is a stoichiometry question

the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol

to find the number of moles, divide 100 by 65.457

then multiply the number of moles by 6.22 * 10^23 to get the number of molecules

\(100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules\)