Use an informal argument to find the value of a


PLEASE ANSWER FAST!!!

Answer:

2400cm^3 I believe

Step-by-step explanation:

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

Answer:

a

Step-by-step explanation:

i just took the test

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

40% of 240 = 96

Step-by-step explanation:

x = 240 × 40/100

x = 96

\(\bold{of = multiply}\\\bold{40\% \ of\ 240}\\ \\ \bold{40\% = \dfrac{4}{100}=\dfrac{2}{5}}\\ \\ \bold{\dfrac{2}{5}\times240=\underline{96}}\\\\\\\boxed{\boxed{\bold{Answer: \bold{\underline{96}}}}}\checkmark\)

Answer:

B

Step-by-step explanation:

Given

- 3x + 12 ≤ 15 ( subtract 12 from both sides )

- 3x ≤ 3

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 1

Since x can equal - 1, we are looking for a solid circle at x = - 1 on the number line.

Since x greater than - 1 we require the shaded arrow to be pointing right.

Graph B represents this

Answer: Choice B

Filled in circle at -1; shading to the right

===================================================

Explanation:

Let's isolate x

\(-3x+12 \le 15\\\\-3x+12-12 \le 15-12\\\\-3x \le 3\\\\\frac{-3x}{-3} \ge \frac{3}{-3} \ \text{ note the inequality sign flip}\\\\x \ge -1\\\\\)

We solve this as if this was an equation, though the inequality sign flips when we divide both sides by a negative value (in the second to last step).

To isolate x, we undo the order of operations PEMDAS. So we first undo the "+12" by subtracting 12 from both sides (step 2). After that we undo the multiplication by dividing both sides by -3.

The graph of \(x \ge -1\) will have a closed or filled in circle at -1, and shading to the right. This visually represents the solution set "x is -1 or larger". The reason why we have a filled in circle is to include the endpoint due to the "or equal to" as part of the inequality sign.

To meet her daily goal, Ling need to pedal approximately 1,008 revolutions each day.

To find the number of revolutions Ling will need to pedal each day to meet her daily goal, we need to first find the circumference of her unicycle tire.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Since the diameter of Ling's unicycle tire is 20 inches, the radius is 10 inches. Therefore, the circumference of her unicycle tire:

C = 2π(10) = 20π inches.

Next, we need to convert Ling's daily goal of one mile, or 5280 feet, to inches. There are 12 inches in a foot, so 5280 feet is equal to 5280 * 12 = 63360 inches.

Finally, we can find the number of revolutions Ling will need to pedal each day by dividing her daily goal in inches by the circumference of her unicycle tire in inches:

Number of revolutions = 63360 inches / 20π inches = 20,160π / 20π = 1,008

Therefore, Ling will need to pedal approximately 1,008 revolutions each day to meet her daily goal.

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Answer:

0

Step-by-step explanation:

Just add up the numbers and divide by 7

-3-2-1+1+2+3

-6+6=0

0/7 is 0

Answer:

12

Step-by-step explanation:

From the diagram given

1. Inscribed angle of the circle

2. AC is a tangent to the circle

3. HI is a chord of the circle

4. L is the center of the circle

5. GEH is a major arc

6. HL is the radius of the circle

7. central angle

8. central angle

9. BD is a secant

10. GHI is a semi-circle

16 bit strings of length five either start with two zeros or end with two zeros are there; 32 bit strings of length six either do not start with two zeros or do not end with two zeros are there; 16 bit strings of length seven either start with four ones or end with four ones are there and 256

bit strings of length eight do not start with a one or do not end with a one are there.

A string is a combination which is made up of only two characters, either 1 or 0.

So, the combinations of the string can be found,

If the length of the bit string is 5, it means it will have 5 characters.

If this string either start with two zeroes or end with two zeroes. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2)

= 16

16 such bit strings are possible.

If the length of the bit string is 6, it means it will have 6 characters.

If this string either do not start with two zeroes or do not end with two zeroes. It mean there are only four positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×2×2×2×2)

= 32

So, 32 such strings are possible.

Now, If the length of the bit string is 7, it means it will have 7 characters.

If this string either start with four ones or end with four ones. It mean there are only three positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×1×1×1×2×2×2)

= 16

So, 16 such strings are possible.

If the length of the bit string is 8, it means it will have 8 characters.

If this string either do not start with one and do not end with one. It mean there are only seven positions are remaining which have two choices available for each place.

So, the total bit strings possible are,

= 2×(1×2×2×2×2×2×2×2)

= 256

So, 256 such strings are possible.

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Answer: -0.5x+16

Step-by-step explanation:

Answer:

Y = -1/4x + 16

Step-by-step explanation:

Hope this helps. Pls give brainliest.

1. True

2. False

3. False

1. True

The complementary slackness conditions state that if xj*=0, then the jth constraint of the dual LP (D) is non-binding at y*.

This means that the corresponding dual variable yj* will be equal to 0.

2. False

According to the complementary slackness conditions, if the i-th constraint of the primal LP (P) is binding at x*, then the corresponding dual variable yi* is not necessarily equal to 0.

The complementary slackness conditions do not provide a specific relationship between the primal and dual variables when a constraint is binding.

3. False

According to the complementary slackness conditions, if the i-th constraint of the primal LP (P) is non-binding at x*, it does not imply that yi*=0.

The complementary slackness conditions do not provide a specific relationship between the primal and dual variables when a constraint is non-binding.

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Final Answer: \(y = \frac{1}{3}x + 4\)

Steps/Reasons/Explanation:

There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.

Step 1: Substitute slope from the original line (\(\frac{1}{3}\) in this case) into the slope-intercept equation.

\(y = \frac{1}{3}x + b\)

Step 2: Substitute the given point \((-3, 3)\) into the x and y values.

\(y = \frac{1}{3}x + b\)

\(3 = \frac{1}{3}(-3) + b\)

Step 3: Solve for b (the y-intercept).

\(3 = \frac{1}{3}(-3) + b\)

\(3 = -1 + b\)

\(+1\) = \(+1\) \(+\) \(b\)

\(4 = b\)

Step 4: Substitute this value for b in the slope-intercept form equation.

\(y = \frac{1}{3}x + 4\)

~I hope I helped you :)~

Answer:

y = 1/3x + 5

Step-by-step explanation:

(-3, 3)

x  ,  y

x1 = -3

y1 = 3

The formula we will use is y - y1 = m ( x - x1)

We will now replace y1 and x1 with the coordinate points (-3, 3).

We will keep x1 = -3, and y1 = 3.

then you will plug in the numbers giving you an equation like:

y - (3) = 1/3 (x -(-3))

y - 3 = 1/3 (x + 3)

y - 3 = 1/3x +1

  + 3          + 3

y = 1/3x + 4

I am 100% sure I am correct.

If you want free answers to your questions you can use math

way, which is  a free website

It gives you FREE answers to math problems and they are always reliable.

I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)

then when options pop up select parallel, because you want to solve for a parallel line.

I hope I helped you a lot and my answer is correct.

Please mark me as brainliest and have a good day!

Answer:

length = 21 cm

Step-by-step explanation:

The ratio 3 : 1 indicates the length is 3 times the breadth , then

length = 3 × 7 cm = 21 cm

Answer:

a) Option A, A x2 statistic provides strong evidence in favor alternative hypothesis if its value is a large positive number.

b) Option B, The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related.

c) Option B, The variables considered in a chi-squared test used to evaluate a contingency table B. are categorical.

(a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is a large positive number. The x2 statistic is used in hypothesis testing to determine whether there is a significant difference between observed and expected frequencies. A large positive value indicates that the observed frequencies are significantly different from the expected frequencies, which supports the alternative hypothesis.

(b) The hypotheses being tested in a chi-squared test on a contingency table are the null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. This test determines whether there is a significant association between two categorical variables.

(c) The variables considered in a chi-squared test used to evaluate a contingency table are categorical. These variables cannot be averaged or assumed to be normally distributed. The chi-squared test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

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Use cylindrical coordinates.

\(\vec s(x,y,z) = \vec\sigma(r,\theta,z) = r\cos(\theta)\,\vec\imath + r\sin(\theta)\,\vec\jmath + r^2\cos(\theta)\sin(\theta)\,\vec k\)

where \(0\le r\le3\) and \(0\le\theta\le2\pi\).

Answer:

26°

Step-by-step explanation:

We know

A triangle is 180°

A triangle has Angle measures 122° and 32°

What is the measure of the third angle? ​

We take

180 - (122 + 32) = 26°

So, the measure of the third angle is 26°

Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

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Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation:

Answer:

true

false

true

false

true

Step-by-step explanation:

Hello There!

We are going to convert each fraction to decimal form to make it easier to tell if the statement is true or false

\(\frac{2}{3} =.66\\\\\frac{2}{6}=.33\)

.66 is greater than .33 therefore \(\frac{2}{3} >\frac{2}{6}\) is a true statement

\(\frac{8}{10} =.8\\\\\frac{6}{5} =1.2\)

1.2 does not equal 8 therefore \(\frac{8}{10} =\frac{6}{5}\) is a false statement

\(\frac{1}{8} =.125\\\\\frac{1}{4}=.25\)

.25 is greater than .125 therefore  \(\frac{1}{8} <\frac{1}{4}\) is a true statement

\(\frac{2}{4} =.5\\\\\frac{1}{2} =.5\)

.5 is equal to .5 therefore \(\frac{2}{4} >\frac{1}{2}\) is a false statement

\(\frac{4}{10} =.4\\\\\frac{4}{6} =.66\)

.66 is greater than .4 therefore \(\frac{4}{10} <\frac{4}{6}\) is a true statement

Answer: true false true false true sorry and just give the other person brainly and thank u

Step-by-step explanation: have a nice day

Answer:

2- sum the ratio

Step-by-step explanation:

Answer: Lester gets about 400 k - 700k in casino hiest

Step-by-step explanation:

Answer:

B, pi

Step-by-step explanation:

The sine wave shown above has two waves until it reaches 2 pi, making the period of the sine graph 2pi divided by the two waves, making the answer pi.

For figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

What is the Basic Proportionality Theorem?

The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.

Figure 2)

By using the Basic Proportionality Theorem, we can write

                        \(\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14\)

Now for figure 3)

            By using Pythagoras' theorem, we can write

                        \(24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1\)

Hence, for figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

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Answer:

None of them are correct maybe?

Step-by-step explanation:

Because the length of bd is 56 and AE is would be bigger but it is not double the size of it so it would be none of these are correct.

Answer:

2×2×2×2×2×2 = 64

Raise 2 to the power of 6.

64

Step-by-step explanation:

Hope it is helpful....

Answer:

The fourth option, \(y=2x-3\)

Step-by-step explanation:

It is given that the table represents a linear function. We are asked to write an equation for the function.

\(\boxed{\begin{minipage}{8 cm}\underline{Finding the Equation of a Line:}\\\\$y-y_1=m(x-x_1)$ \ \text{(Point-slope form)}\\\\where:\\\phantom{ww}$\bullet$ $m$ is the slope of the line.\\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\ \\ \underline{Finding the Slope:} \\ \\ $m=\dfrac{y_2-y_1}{x_2-x_1} $\end{minipage}}\)

(1) - Calculate the slope of line

Defining two points on the table:

\((x_1,y_1)\rightarrow (1,-1) \\\\(x_2,y_2)\rightarrow (3,3)\)

Now using the slope equation:

\(m=\dfrac{y_2-y_1}{x_2-x_1} \\\\\\\Longrightarrow m=\dfrac{3-(-1)}{3-1}\\\\\\\Longrightarrow m=\dfrac{4}{2}\\\\\\\therefore \boxed{m=2}\)

(2) - Find the equation of the line using point-slope form

\((x_1,y_1)\rightarrow (1,-1)\\\\m=2\\\\\\y-y_1=m(x-x_1)\\\\\\\Longrightarrow y-(-1)=2(x-1)\\\\\\\Longrightarrow y+1=2x-2\\\\\\\therefore \boxed{\boxed{y=2x-3}}\)

Thus, the fourth option is correct.

The probability that a random sample of 100 bulbs will have an average life of more than 1,825 hours is approximately 0.1056, or 10.56%.

To find the probability that a random sample of 100 bulbs will have an average life of more than 1,825 hours, we need to use the central limit theorem.

First, we need to calculate the standard error of the mean, which is the standard deviation of the population (200 hours) divided by the square root of the sample size (100):

standard error of the mean = 200 / √(100) = 20

Next, we need to standardize the sample mean using the formula:

z = (x - mu) / SE

where x is the sample mean (1,825 hours), mu is the population mean (1,800 hours), and SE is the standard error of the mean (20 hours).

z = (1825 - 1800) / 20 = 1.25

Finally, we need to find the probability that a standard normal distribution is greater than 1.25. We can use a standard normal distribution table or calculator to find this probability, which is approximately 0.1056.

Therefore, the probability that a random sample of 100 bulbs will have an average life of more than 1,825 hours is approximately 0.1056, or 10.56%.

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The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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