The solution is all values of x greater than -9.
What is the correct graph for the given inequality?The correct graph for the given inequality "Negative 3x - 7 < 20" is:
From negative 10 to positive 10, a number line runs. An open circle shows up at negative 9. From negative 9 to positive 10, the number line is shaded.
To chart the arrangement, we initially confine the variable by adding 7 to the two sides of the imbalance:
Negative 3x - 7 + 7 < 20 + 7
Negative 3x < 27
Next, we divide both sides by -3, remembering to flip the inequality sign since we're dividing by a negative number:
Negative 3x/-3 > 27/-3
x > -9
Therefore, the arrangement is all upsides of x more prominent than - 9. Since these are the values that satisfy the inequality, we graph this by drawing an open circle at -9 on the number line and shading all values to the right of -9.
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What is the equation of the line that is perpendicular to the line y = –3x + 2 and passes through (3, –1)?
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
is the fraction 18/3 a rational number
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?
A boat travels with velocity vector (25, 25 StartRoot 3 EndRoot). What is the directional bearing of the boat? N 30° E E 30° S E 30° N N 30° W
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:
Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
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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Mike has a pack of skittles. In the pack 5 are red, 7 are yellow and 6 are purple. What is the ratio of yellow to all skittles?
The ratio of yellow to all skittles is
\(\frac{7}{18}\)\(\text{The ratio of yellow=}\frac{number\text{ of yellow}}{\text{total skittles}}=\frac{7}{(5+7+6)}=\frac{7}{18}\)consider the graph that represents the ratio of orange juice to pineapple juice xavier used to make his juice
The true statement is (b) Xavier used 15 oz of pineapple to with 24 oz of orange juice
Selecting the true statementFrom 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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cost of pizzas a pizza shop owner wishes to find the 99% confidence interval of the true mean cost of a large plain pizza. how large should the sample be if she wishes to be accurate to within so. 15? a previous study showed that the standard deviation of the price was $0.43. round your final answer up to the next whole number. the owner needs at least a sample of pizzas.
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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What is the sum of (49p2 – 25) + (16p4 - 32p2 + 16)?
Answer:
98p-9
Step-by-step explanation:
sorry don't know to explain
use the venn diagram to compare and contrast the definitions of the linnaean class answers
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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Temporary episodes of impaired neurologic functioning caused by inadequate blood flow to a portion of the brain are termed: a. CVAs. b. TIAs. c. MIs. d. None of the above.Temporary episodes of impaired neurologic functioning caused by inadequate blood flow to a portion of the brain are termed: a. CVAs. b. TIAs. c. MIs. d. None of the above.
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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What is the area of δabc? round to the nearest tenth of a square unit. 3.9 square units 8.4 square units 11.8 square units 17.7 square units
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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A survey was given to a random sample of 1350 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 64% of the people said they were in favor of the plan. At the 95% confidence level, what is the margin of error for this survey expressed as a percentage to the nearest tenth?
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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y cant people just put the answer y do they have to put all the things like just put a,b,c,d or ect...
what do you mean bruv?
N O R M A L people put the answer up top
Help me pleaseeeeee help help
Answer:
About (23,14)
Step-by-step explanation:
Look at the point where both lines cross.
Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?
A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).
A. y=3x-2
B. y=1/3x+4
C. y=1/3x-5
D. y=-3x+6
A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.
Which equation represents a line that is perpendicular to line PQ?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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What is the volume of a cone (in cubic inches) with a radius of 3 inches and a height of 6 inches?
Use 3.14 for π. Round your answer to the nearest hundredth. (5 po
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
Please answer the questions below
Step-by-step explanation:
First one
5,5√5,25
Second one
-3,12,-48
When asked to find the value of x for
which f(x)=17, Danny answered 39. What
mistake did Danny make? What is the
correct answer?
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.
Halley saves up twenty-pence coins. At the last count she had saved £64.80.
How many 20p coins does she have altogether?
How many more coins does Halley need in order to have saved £100?
(a)
(b)
She saved 324 number of 20p coins altogether.
And, Halley need 176 more 20p coins to saved £100.
What is Multiplication?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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Consider an \( x y \)-system of axes and answer the following questions. There are infinitely many sets of two unit vectors that are perpendicular to each other. True False
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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Find 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
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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1. 12! + 4! - 6!=...
2. If 9x+4=58 then the value of x is...
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
simplify (-2) × (6-5) × (-5)
Answer: 10
Step-by-step explanation:
6-5 = 1
-2 x 1 = -2
-2 x -5 = 10
help asap please!!!!
volleyball: mean = 86, MAD = 19.6
basketball: mean = 185, MAD = 17.7
the difference in the means is about __ to __ times the MAD.
The difference in the means is about 4.3 to 10.5 times the MAD.
What is Statistic?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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Grapes are selling for $0.68 a pound. Aldo spent $9.18 on grapes. How many pounds of grapes did Aldo buy?
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
which is the smallest measurement used in the apothecary system for volume? a. apothecary b. metric c. minim d. household.
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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Cody was selling drawings for $5 each. For every drawing he sold, he had to use $4 in art supplies to make them. How much profit would he make if he sold 8 drawings?
61- 2 7/8 simplyfy please give explanation
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 \(\dfrac{465}{8}\).
PLEASE I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST!!!!!!!!!!!!!!!!!
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
in nonlinear optimization, the solution will always result in a global minimum. therefore, we only need to run the model once. group of answer choices true false
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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