Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20 Group of answer choices A number lines goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through negative 10. A number line goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through negative 10.

Answer:

y = 1/3x - 2

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another

so slope is 1/3

then y = 1/3x + b

Using (3,-1) => -1 = 1/3(3) + b

-1 = 1 + b

b = -2

so y = 1/3x -2

Answer:

no it is not a rational number because

Step-by-step explanation:

183 is a fraction, which can be simplified as 618 13 =61=6 . Hence, It belongs to Natural numbers , which are {1,2,3,4,5,6...............}

Did you understand?

Answer:

The directional bearing of the boat is N 30º E

Step-by-step explanation:

Let \(\vec v = (25, 25\sqrt{3})\), where \(\vec v\) is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat (\(\theta\)), measured in sexagesimal degrees, is determined by trigonometrical means:

\(\theta = \tan^{-1}\frac{v_{y}}{v_{x}}\) (1)

If we know that \(v_{x} = 25\) and \(v_{y} = 25\sqrt{3}\), then the directional bearing of the boat is:

\(\theta = \tan^{-1} \sqrt{3}\)

\(\theta = 60^{\circ}\)

In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).

Answer:

A) N 30 E

Step-by-step explanation:

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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The ratio of yellow to all skittles is

The true statement is (b) Xavier used 15 oz of pineapple to with 24 oz of orange juice

From the question, we have the following parameters that can be used in our computation:

The graph that represents the ratio of orange juice to pineapple juice

The graph passes through the origin

So, we have

slope = 16/10

Evaluate

slope = 1.6

When pineapple juice is 15, we have

orange = 15 * 1.6

orange = 24

Hence, the true statement is b

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The pizza shop owner needs a sample of at least 12 large plain pizzas to estimate the true mean cost with a 99% confidence interval and an accuracy within $0.15.

To find the sample size, we can use the formula:

n = (Z * σ / E)^2

Where:
- n is the sample size
- Z is the Z-score corresponding to the desired confidence level (99%)
- σ is the standard deviation of the price ($0.43)
- E is the margin of error (accuracy) we want to achieve ($0.15)

For a 99% confidence interval, the Z-score is approximately 2.576. Now, plug in the values into the formula:

n = (2.576 * 0.43 / 0.15)^2

n ≈ 11.95

Since we need a whole number, round up to the nearest whole number:

n = 12

So, the pizza shop owner needs a sample of at least 12 large plain pizzas to estimate the true mean cost with a 99% confidence interval and an accuracy within $0.15.

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Answer:

98p-9

Step-by-step explanation:

sorry don't know to explain

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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The correct term for temporary episodes of impaired neurologic functioning caused by inadequate blood flow to a portion of the brain is b. TIAs (transient ischemic attacks).

TIAs are often referred to as "mini-strokes" and are caused by a temporary disruption of blood flow to a specific part of the brain. Unlike a stroke (CVA - cerebral vascular accident) or a heart attack (MI - myocardial infarction), TIAs do not result in permanent brain damage or tissue death. They typically last for a short period, ranging from a few minutes to a few hours, and the symptoms may include sudden weakness or numbness on one side of the body, difficulty speaking or understanding speech, vision problems, and loss of coordination. Although TIAs are temporary and the symptoms usually resolve on their own, they should not be ignored as they can be warning signs of an increased risk of a future stroke. Prompt medical attention is essential to determine the underlying cause of the TIA and to take appropriate measures to reduce the risk of a subsequent stroke.

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The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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what do you mean bruv?

N O R M A L people put the answer up top

Answer:

About (23,14)

Step-by-step explanation:

Look at the point where both lines cross.

A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

\(s = \frac{-5 - 7}{-4 - (-8)} = -3\)

A perpendicular line to PQ must have a slope equal to:

\(s' = -(\frac{1}{-3} ) = (\frac{1}{3})\)

So we have two correct options (two lines with that slope) which are options B and C.

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Answer:

56.55

Step-by-step explanation:

V = πr²h/3 = π·3²·6/3 = 56.54867

The answer rounded is 56.55.

-hope it helps

Step-by-step explanation:

First one

5,5√5,25

Second one

-3,12,-48

Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

She saved 324 number of 20p coins altogether.

And, Halley need 176 more 20p coins to saved £100.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Halley saves up twenty-pence coins.

And, At the last count she had saved £64.80.

Now,

We know that;

Number of 20p coins in £1 = 5

So, Number of 20p coins in £64.80 = 5 × 64.80

                                                       = 324

And, Number of 20p coins in £100 = 5 × 100

                                                      = 500

So, He need number of 20p coins = 500 - 324

                                                      = 176

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The statement that says "there are infinitely many sets of two unit vectors that are perpendicular to each other" is true. Therefore, the correct option is True.

In Euclidean geometry, any two vectors can be extended to form an orthogonal basis. Given two linearly independent vectors a and b, the cross product a × b is a third vector c that is orthogonal to both a and b. We may now define a unit vector u_1 in the direction of a by dividing a by its length, and a second unit vector u_2 in the direction of c by dividing c by its length.

The dot product of the vectors a and b in three-dimensional space is defined as:  

a · b = |a||b| cosθ

where θ is the angle between the two vectors.

This definition may be extended to any inner product space, giving the angle between a and b with respect to the inner product: The dot product of two vectors is zero if and only if the vectors are perpendicular to each other. Therefore, it is possible to obtain multiple sets of unit vectors which are perpendicular to each other.

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The surface area of the portion S of the cone z^2 = x^2 + y^2 where z>/ 0 contained within the cylinder y^2 + z^2 < 1 is 8π.

The cone is defined by the equation z^2 = x^2 + y^2.

The cylinder is defined by the equation y^2 + z^2 < 1.

The intersection of the cone and the cylinder is a surface that is part of a cone and part of a cylinder.

The surface area of the cone is given by the formula A = πr^2h, where r is the radius of the base and h is the height of the cone.

The radius of the base of the cone is equal to 1, and the height of the cone is equal to √2. Therefore, the surface area of the cone is π(1)^2(√2) = √2π.

The surface area of the cylinder is given by the formula A = 2πrh, where r is the radius of the base and h is the height of the cylinder.

The radius of the base of the cylinder is equal to 1, and the height of the cylinder is equal to 1. Therefore, the surface area of the cylinder is 2π(1)(1) = 2π.

The surface area of the intersection of the cone and the cylinder is equal to the surface area of the cone minus the surface area of the cylinder. Therefore, the surface area of the intersection is √2π - 2π = 8π.

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Step-by-step explanation:

2.9x+4=58

9x=58-4

9x=54

divide both sides by 9

the 9 will divide 54 exactly given you 6

x=6

Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

The difference in the means is about 4.3 to 10.5 times the MAD.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
volleyball: mean = 86, MAD = 19.6
basketball: mean = 185, MAD = 17.7
The difference in volleyball the means to MAD is given as,
= 86 / 19.6

= 4.3  

The difference in basketball the means to MAD is given as,
= 185 / 17.7

= 10.5

Thus, the difference in the means is about 4.3 to 10.5 times the MAD.

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Answer:

13.5 pounds.

Step-by-step explanation:

9.18 divided by .68

= 13.5

Answer:

13.5

$0.68 times 13.5 = $9.18

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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Answer:

\(\dfrac{465}{8}\)

Step-by-step explanation:

The given expression is :

\(61-2\dfrac{7}{8}\)

We need to simplify it.

\(2\dfrac{7}{8}=\dfrac{2(8)+7}{8}\\\\=\dfrac{23}{8}\)

The above expression will be:

\(61-\dfrac{23}{8}=\dfrac{61(8)-23}{8}\\\\=\dfrac{465}{8}\)

So, the value of the above expression is equal to \(\dfrac{465}{8}\).

Answer:

0.75(x-18)=84.5

And

0.75x-13.5=84.5

On both of them, x = 130.6 and on the other answer choices it’s different answers those 2 equal the same only

Step-by-step explanation:

hope this helps

Answer:

In nonlinear optimization, it is not true that the solution will always result in a global minimum, and therefore, running the model once might not be sufficient. Nonlinear optimization problems can have multiple local minima, and finding the global minimum can be challenging. So, The correct answer is false.

Step-by-step explanation:

In nonlinear optimization, it is not always guaranteed that the solution will result in a global minimum. The solution may converge to a local minimum instead. Therefore, it may be necessary to run the model multiple times with different starting points to ensure that the global minimum is reached.

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