solve the inequality

A. v <7/12

B. v<28/75

C. v<3/10

D. v<-1/3

Answer:

C

The others are irrational numbers. C can be a rational number.

Answer:

\(3.844 * 10 ^ 5\)

Step-by-step explanation:

Scientific notation is of the form \(N * 10^a\). Where N is a number \(1 \leq N < 10\).

So in this case we need to move the decimal place to the left, in order to create such a number.

By moving the decimal place to the left we get: 3.84400

We moved the decimal to the left 5 times, so our value of \(a = 5\) and \(N = 3.84400\)

Therefore scientific notation is: \(3.844 * 10 ^ 5\)

Answer: D

Steps: CXLI = 141 seconds

Plz mark brainliest:)

Answer: kndkfnsjkfrjgkbgjb

Step-by-step explanation:

listen to koRn

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

The points that could be on a linear equation perpendicular to the line that passes through (-4, -2) and (-6, 3) are the ones in option C.

c. (-15, -1) and (-5, 3)

First, remember that if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

slope = (y₂ - y₁)/(x₂ - x₁)

And two lines are perpendicular if the product between the slopes is -1.

The slope of the line that passes through (-4, -2) and (-6, 3) is:

m = (3 + 2)/(-6 + 4) = -5/2

Then the slope of the perpendicular line should be:

a*(-5/2) = -1

a = -1*(-2/5) = 2/5

The two points that generate that line are:

(-15, -1) and (-5, 3)

The slope gives:

a = (3 + 1)/(-5 + 15) = 4/10 = 2/5

So the correct option is C.

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Answer:x=21

Step-by-step explanation:

10/14=15/x

5/7=15x^-1

(5/7)/15=ans

ans=x^-1

ans^-1=21

Answer: x=21

Step-by-step explanation:

\(\frac{10}{14} =\frac{15}{x}\)

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.

x×10=14×15

Multiply 14 and 15 to get 210.

x×10=210

Divide both sides by 10.

x=

10

210

​

Divide 210 by 10 to get 21.

x=21

Answer:

780 in

Step-by-step explanation:

65*12=780

Answer:

5 ft 5in (5.41667 ft)

Step-by-step explanation:

divide by 12 using long division and use remainder for inches. Or divide 65 by 12 and use decimal value. Hope this makes sense.

Answer:

5

Step-by-step explanation:

\(g(x)=\frac{32}{x+3}\\\\\implies g^{-1}(x)=\frac{32}{x}-3\\\\g^{-1}o \ g=[g(g^{-1}(x))]=\frac{32}{\frac{32}{x}-3+3}=x\\\\\implies (g^{-1}o \ g)(5)=5\)

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

Answer: 3/2

Step-by-step explanation: Rate of change is the same thing as the slope.

The coordinates along the directed line segment is (37/7, 11/7)

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

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Answer:

Step-by-step explanation:

2x+3

x=3divides2

Set d of all the polynomials of the form at^2 with a ∈ R is a vector space.

Yes, set d of all the polynomials of the form at^2 with a ∈ R is a vector space. To be a vector space, the set must satisfy four properties: closure under vector addition, closure under scalar multiplication, associativity, and the existence of a zero vector.

Closure under vector addition means that for any two elements u and v in the set, their sum u + v must also be in the set. This is true for set d since any two polynomials of the form at^2 + bt^2 = (a+b)t^2 is still a polynomial of the form at^2 with a ∈ R.

Closure under scalar multiplication means that for any element u in the set and any scalar r, the product ru must also be in the set. This is true for set d since any polynomial at^2 multiplied by a scalar r is still a polynomial of the form (rat)^2 with a ∈ R.

Associativity means that for any three elements u, v, and w in the set, the equation (u + v) + w = u + (v + w) must hold. This is true for set d since the addition of any three polynomials of the form at^2 with a ∈ R can be rearranged in any order and the result is still a polynomial of the form at^2 with a ∈ R.

The existence of a zero vector means that there must be an element in the set such that adding it to any other element in the set does not change it. This is true for set d, since the zero polynomial 0t^2 is an element in the set and adding it to any other polynomial of the form at^2 with a ∈ R does not change it.

Therefore, set d of all the polynomials of the form at^2 with a ∈ R is a vector space.

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Answer:

12

Step-by-step explanation:

t/3 = 12

3/1 (t/3 = 12)

3t = 36

/3     /3

t = 12

False. If two nonzero vectors point in the same direction, their dot product will not be zero.

The dot product of two vectors is a mathematical operation that measures the degree of similarity or alignment between the vectors. It is calculated by multiplying the corresponding components of the vectors and summing the results.

When two vectors point in the same direction, their dot product will be positive, indicating that they are aligned or have a certain degree of similarity. The dot product will be equal to the product of the magnitudes of the vectors multiplied by the cosine of the angle between them.

If two nonzero vectors are parallel and point in the same direction, the angle between them is 0 degrees, and the cosine of 0 degrees is 1. Therefore, the dot product of two nonzero vectors pointing in the same direction will be equal to the product of their magnitudes.

In other words, if the vectors are represented as A and B, and they point in the same direction, the dot product (A · B) will be equal to ||A|| * ||B||, where ||A|| and ||B|| represent the magnitudes of the vectors A and B, respectively.

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Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.

To find out how many star stickers Trent needs for his poster, you should first convert the length of the poster and the width of the stickers to the same unit, either meters or millimeters.

Step 1: Convert the length of the poster to millimeters (1 meter = 1000 millimeters)
0.75 meters * 1000 = 750 millimeters

Step 2: Divide the length of the poster by the width of a star sticker
750 millimeters / 15 millimeters = 50 stickers

Step 3: Since there are two edges (top and bottom) of the poster, multiply the number of stickers needed for one edge by 2
50 stickers * 2 = 100 stickers


Trent needs 100 star stickers for his poster. First, convert the length of the poster to millimeters, which is 750 millimeters. Then divide this length by the width of a star sticker, 15 millimeters, which results in 50 stickers. Since there are two edges, multiply by 2 to get 100 stickers in total.


Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.

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The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Answer:

wheres the graph

Step-by-step explanation:

Truth tables  is a table which can be used to determine if a logic expression evaluates to true or false.

The truth table compares the value of an if statement with each possible result from that if statement and lists out which value produces the true result and which values produce false results.

The truth tables are constructed by placing logical expressions in columns and assigning true or false values depending on whether the expression evaluates to true or false at each intersection of rows, which means that each row represents one possible outcome of those intersections between all combinations of columns

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The slope of this line is 0. If you graph the line y=10, for any x value, the y-value remains 10 (denoted because x is equal to 0 in the actual equation shown, which means that x will not be shown in the equation). The graph would basically just be a straight horizontal line, neither curving up or down.

The steps he can use in solving the quadratic equations are \(x = \frac{-12 \± \sqrt{12\² - 4 \cdot 2 \cdot -3}}{4}\), (x + 3)² = 21/2 and 2(x² + 6x + 9) = 3 + 18

The equation is given as

2x² + 12x - 3 = 0

Assuming he uses the quadratic formula method, which is represented as

\(x = \frac{-b \± \sqrt{b\² - 4ac}}{2a}\)

So, we have

\(x = \frac{-12 \± \sqrt{12\² - 4 \cdot 2 \cdot -3}}{2 \cdot 2}\)

\(x = \frac{-12 \± \sqrt{12\² - 4 \cdot 2 \cdot -3}}{4}\)

If he uses completing the square, then we have

2x² + 12x = 3

So, we have

x² + 6x = 3/2

x² + 6x + 9 = 3/2 + 9

So, we have

(x + 3)² = 21/2

If he factorizes, then the expression is

2(x² + 6x + 9) = 3 + 18

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According to the histogram, the percentage of the tournament participants are under the age of 20 is 50%.

A histogram approximately represents a distribution of grouped data with numerical values.

It uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            30

20 to 39                         20

40 to 59                         10

60 to 79                         0

Total                             60

Percentage of ages 0-19  =  30/60 x 100 = 50%

Thus, using the histogram, we can assure the percentage of the tournament participants are under the age of 20 is 50%.

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This graph is position-time graph.

The initial displacement οf the weight is 40cm

The weight first returns tο equilibrium when t = 1/2

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

Based on the given Graph, we can say that the graph represents a position-time graph of a weight attached to a spring.

The initial position of the weight is 40cm as given in tha graph,

We can determine the time at which the weight first reaches equilibrium.

Equilibrium occurs when the weight is at rest and has zero velocity.

This corresponds to the position of the weight being zero, i.e., p(t) = 1/2 cm. The problem states that we say the weight is at equilibrium when p(t) = 1/2 cm.

Therefore, the weight first reaches equilibrium at the time t when p(t) = 1/2 cm.

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Complete question:

The weight is initially positioned at a certain distance in centimeters, which is not stated in the query. To ascertain this number, we would need to examine the graph or receive additional information.

Based on the information given, we can say the following:

The graph of the function is a function, which means that each input (time value) corresponds to exactly one output (position value).

The initial position of the weight is some number of centimeters, which is not specified in the question. We would need to look at the graph or be given more information to determine this value.

The weight first reaches equilibrium when the position is 0 cm, which means that the function value is 0. We can find the time(s) when this occurs by solving the equation p(t) = 0.

For example, if the equation is  \(p(t) = 3sin(2t) - 2, we can set 3sin(2t) - 2 = 0\)   and solve for   \(t: 3sin(2t) = 2, sin(2t) = 2/3, 2t = sin^-1(2/3) + 2πn or π - sin^-1(2/3) + 2πn\) for some integer  \(n, t = (sin^-1(2/3) + 2πn)/2 or (π - sin^-1(2/3) + 2πn)/2\)  For some integer n.

The initial position of the weight is its position when t = 0 s, which means we need to look at the value of p(0). Again, this value is not given in the question.

Therefore, Without more information or a graph of the function, we cannot provide specific values for these unknowns.

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The given question is incomplete. The complete question is given below:

The function (p(t)) gives the position of the weight at time (t). Please complete the following sentences based on the graph of the function. The graph is a function. The initial position of the weight is __________ centimeters. The weight first reaches equilibrium when t equals __________ second(s). Note: We say that the weight is at equilibrium whenever p(t) = 0 cm, and we say that the initial position of the block is its position when t = 0 seconds.

Answer:

$21

Step-by-step explanation:

Given data

Principal= $20

Rate = 5%

time= 1 year

Required

The final amount A

Applying the simple interest formula

A= P(1+rt)

substitute

A=20(1+0.05*1)

A=20(1.05)

A=20*1.05

A=$21

Hence she will earn $21

Answer:



Step-by-step explanation:

GraphA shows the quadratic equation with complex roots.

Answer:

Step-by-step explanation:

The probability of committing a Type II error if the actual mileage is 26 miles per gallon is 0.9803.

The probability of committing a Type II error if the actual mileage is 27 miles per gallon is 0.9783.

The probability of committing a Type II error if the actual mileage is 28.5 miles per gallon is 0.0202.

The rejection rule for the test to determine whether the manufacturer's claim should be rejected is: Reject H0 if the sample mean is less than or equal to 28 - 1 = 27 miles per gallon.

To calculate the probability of committing a Type II error, we need to determine the critical value and the corresponding distribution under the alternative hypothesis.

Given:

Significance level (α) = 0.02

Sample size (n) = 40

Population mean under the alternative hypothesis (μ) = 26, 27, 28.5

To find the critical value for a one-tailed test at a 0.02 significance level, we need to find the z-score corresponding to the cumulative probability of 0.02. Using a standard normal distribution table or calculator, we find the z-score to be approximately -2.05.

For μ = 26:

The critical value is 27 (μ - 1).

The probability of committing a Type II error is the probability of observing a sample mean greater than or equal to 27, given that the population mean is 26. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 26, giving us P(Z ≥ -2.05) = 0.9803 (approximately).

For μ = 27:

The critical value is 27 (μ - 1).

The probability of committing a Type II error is the probability of observing a sample mean greater than or equal to 27, given that the population mean is 27. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 27, giving us P(Z ≥ -2.05) = 0.9783 (approximately).

For μ = 28.5:

The critical value is 27.5 (μ - 0.5).

The probability of committing a Type II error is the probability of observing a sample mean less than 27.5, given that the population mean is 28.5. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 28.5, giving us P(Z ≤ -2.05) = 0.0202 (approximately).

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yes, because the midpoints (a+c) = b

Given that the line's equation is y=x.

B and C are the two points on this line.

( a+ c, b) is the midpoint of B and C.

We can see from this that using the midpoint formula

a + c = \(\frac{x1+x2}{2}\)

b=\(\frac{y1+y2}{2}\)

Because both points are on y=x, we get

x1=y1, x2=y2.

As a result, x1 = a+c and 2y1 = 2b or y1 =b.

Because x1=y1, we have a+c =b.

In other words, the coordinates of the midpoint satisfy the equation y=x.

Thus, the answer is

because (a+c) = b

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