Solve the following inequality using the algebraic approach: 3 x greater-than negative 6 a. x greater-than negative 2 b. x less-than negative 2 c. x greater-than 2 d. x less-than 2

Answer: The possible numbers of fruit snacks that were in the bag  is x < 18

Step-by-step explanation: Good luck :D

Answer:86.1 km

Step-by-step explanation:

The length of SQ in triangle QRS is approximately 19.8 feet to the nearest tenth of a foot.

To find the length of SQ in triangle QRS, where angle S = 90°, angle Q = 6°, and RS = 20 feet, we can use the sine function. Here's a step-by-step explanation:

1. Identify the given information: In triangle QRS, we have angle S = 90°, angle Q = 6°, and side RS = 20 feet.

2. Since the sum of angles in a triangle is always 180°, we can find angle R: angle R = 180° - angle S - angle Q = 180° - 90° - 6° = 84°.

3. Now we can use the sine function to find the length of side SQ. Since we know angle R and side RS, we can use the sine of angle R to relate side SQ to side RS:

\(sin(angle R) = \frac{opposite side (SQ)}{ hypotenuse side (RS)}\)
\(sin(84°) =\frac{SQ}{20 feet}\)

4. Solve for SQ: \(SQ = (20 feet)  sin(84°) = 19.8 feet.\).

So, the length of SQ in triangle QRS is approximately 19.8 feet to the nearest tenth of a foot.

To know more about "Sine function" refer here:

https://brainly.com/question/9856110#

#SPJ11

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

To know more about Mean visit.

https://brainly.com/question/31101410

#SPJ11

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

To know more about annual annuity payment,

https://brainly.com/question/31981614

#SPJ11

Answer:

174 feet below sea level

Step-by-step explanation:

y is the number of minutes so you can multiply 14 by 9

14*9 is 126

then you add 126 to -300

126 + (-300) is essentially 126 - 300 and that is -174

the submarine was at 174 feet below sea level

The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

To know more about integration visit :

https://brainly.com/question/31744185

#SPJ11

Answer:

301.44

Step-by-step explanation:

V = h x π x r^2

V = 6 x 3.14 x 4^2

V = 301.44

hope this helped!

The best fit line estimate for the y value when x is 100 in this case is 205.

Two or more expressions with an Equal sign is called as Equation.

To determine what the best fit line estimate for the y value is when x is 100.

Assuming that you have a linear regression model with the equation y = mx + b, where "m" is the slope and "b" is the y-intercept, you would need to know the values of "m" and "b" to estimate the y value for a given x value.

If you have these values, you can substitute x = 100 into the equation and solve for y.

The resulting value will be the estimated y value for the given x value.

If the equation of the best fit line is y = 2x + 5, then the estimated y value when x is 100 would be:

y = 2(100) + 5

y = 200 + 5

y = 205

Hence, the best fit line estimate for the y value when x is 100 in this case is 205.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Please can you complete the question

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

Step-by-step explanation:

slope formula: \(\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

Points (–3, 3) and (18, 26)

\(\frac{26-3}{18-(-3)}\)  = \(\frac{23}{21}\)

I got it right on the test (ed)

Answer:

We have a problem here, Houston.

Step-by-step explanation:

Is "(x+5)2=36" supposed to be (x+5)^2=36 ?

If so,

x = ± 11

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

If it is indeed (x+5)2=36

then:

2x + 10 = 36

2x = 26

x = 13

None of the answer options fir either of these two interpretations of the equation provided.  Please check the equation.

Answer:

-11 and 1

Step-by-step explanation:

did the test

Answer:

x = 14.6

x = 6.4

Step-by-step explanation:

Trig identities:

\(sin(x)=\dfrac{O}{H} \ \ \ \ \ cos(x)=\dfrac{A}{H} \ \ \ \ \ tan(x)=\dfrac{O}{A}\)

where

\(sin(55)=\dfrac{12}{x}\\\\\implies x=\dfrac{12}{sin(55)}\\\\\implies x=14.6\)

\(tan(62)=\dfrac{12}{x}\\\\\implies x=\dfrac{12}{tan(62)}\\\\\implies x=6.4\)

Answer:

Brand P has the cheaper price

Step-by-step explanation:

Brand P: $19.00 / 5 bags = $3.80 per bag

Brand Q: $13.17 / 3 bags = $4.39 per bag

Answer

x=5 y=2

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

0 (104) is equal to 0, so let's cross that out. 103 times 102 is definitely not equal to 105. The third one is 105. The fourth one is not 105. The last one is not 105 either.

The height of the person is 6.27 feet.

you are having a staring contest with your cat. You are looking down at 37° while standing 7 feet away from it. Your cats eye line is 1 foot off the ground. Let's find your height.

Therefore, the situation forms a right angle triangle.

Using trigonometric ratio,

tan 37 = opposite / adjacent

tan 37° = x / 7

where

cross multiply

x = 7 tan 37°

x = 7 × 0.7535540501

x = 5.27487835072

Therefore,

height of the person = 1 + 5.27487835072

height of the person = 6.27 ft

learn more on right triangle here: https://brainly.com/question/14401895

#SPJ1

The correct option is Ray 2.When light passes from one medium to another of different optical densities, it bends from its initial path, this bending is called refraction.

The amount of refraction is determined by the refractive index of the media. The refractive index of the media is the ratio of the speed of light in the medium to the speed of light in a vacuum. The refracted ray for ray 1 is Ray 2.The direction of light in air or vacuum will change when it enters water.

The angle of incidence of the light ray and the angle of refraction of the light ray will determine how much the direction will change. Because light moves from a medium with a lower index of refraction (air) to one with a higher index of refraction (water), the ray is bent away from the normal as it enters the water.

The incident ray 1 in air, the refracted ray 2 in water, and the normal line, are in the same plane. The angle of incidence and angle of refraction are related through Snell's law, which states that n1 sin θ1 = n2 sin θ2, where n1 and n2 are the indices of refraction in the incident and refracted media.

The refracted ray 2 will be bent towards the normal. Thus, the correct option is Ray 2.

For more question on refraction

https://brainly.com/question/27932095

#SPJ8

Answer:

60

Step-by-step explanation:

A cheerful teen willing to help,

who listens to "Queen of Mean,"

stay positive,

stay salty.

Answer:

Step-by-step explanation:

1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.

2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.

5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.

Answer:

4.ADE /// ABC (same <s)

<D = <B (corresponding <s)

<E = <C (corresponding <s)

ADE and ABC share A as the same < so all <s are = (AAA )

Answer:

\(5.\overline{55}\) or  \(5\frac{5}{9}\)

Step-by-step explanation:

\(\frac{5}{r} =\frac{9}{10}\)

We multiply the cross values of 5 and 10

5 × 10 = 50

Now we divide by the remaining number, 9

\(50 \div 9 = 5.555555...\)

So, r = \(5.\overline{55}\)

As a fraction, this is \(5\frac{5}{9}\)

Hope this helped!

Answer:

5 5/9 = r

Step-by-step explanation:

5/r = 9/10​

Using cross products

5 * 10 = 9 * r

50 = 9r

Divide by 9

50/9 = r

5 5/9 = r

Answer:

0

Step-by-step explanation:

7 is not in the sample space, meaning it is impossible. Therefore, the probability is 0.

Answer:

198 Miles in 6 hours.

(It travels 33 miles every hour)

Step-by-step explanation:

(Mark me Brainliest plz)

Answer:

20

Step-by-step explanation:

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

Know more about the length  here:

https://brainly.com/question/2217700

#SPJ11

Expected frequency = (row total × column total) / n

To find the expected frequency, , for the given values of n and , we can use the formula:

Expected frequency = (row total × column total) / n, Where row total is the sum of frequencies in a particular row, column total is the sum of frequencies in a particular column, and n is the total frequency count in the table. Hence, the expected frequency formula for a contingency table can be written as:

Expected frequency = (row total × column total) / n

row total is the sum of frequencies in a particular row, column total is the sum of frequencies in a particular column, and n is the total frequency count in the table.

To know more about frequency visit:

https://brainly.com/question/29739263

#SPJ11

In the case of a suspected myocardial infarction (MI) in a client presenting in the Emergency Department, certain medications should be administered as soon as possible to improve outcomes.

When a client presents with a suspected MI, time is of the essence in initiating appropriate treatment to minimize damage to the heart muscle and improve outcomes. The administration of aspirin is a priority as it helps prevent further blood clot formation. Aspirin inhibits platelet aggregation, reducing the risk of thrombus formation in the coronary arteries.

Nitroglycerin is another medication that should be given promptly. Nitroglycerin helps relieve chest pain by dilating coronary arteries and improving blood flow to the heart. It also helps reduce preload and afterload, thereby decreasing the workload on the heart.

In cases where the client experiences severe pain despite aspirin and nitroglycerin administration, morphine can be administered to alleviate pain and reduce anxiety. Morphine also helps dilate blood vessels, which can further improve blood flow to the heart.

Learn more about outcomes here:

https://brainly.com/question/17238771

#SPJ11

"A client presents in the Emergency Department with a suspected myocardial infarction (MI). Which medications should be given as soon as possible to improve outcomes?"