The graph of which function passes through the point (0, pi/2)

A. y=cos-¹(x)
B. y=csc-¹(x)
C. y=sec-¹(x)
D. y=sin-¹(x)

Answer:

1) x = -y + 5

  y = - 3/5x + 3

2) y = 0

Step-by-step explanation:

Answer:

464.67

sorry if it's wrong

If the sample is genuinely random, the mode of the sample may or may not be equal to the mode or mean of the population. The population size must always be equal to the sample size.

A sample's mode is the most common value in the sample. Depending on the variables specified, it might be greater, lower, or equal to the population mode. In general, when the sample size is high enough, the sample mode is assumed to be identical to the population mode. Nevertheless, this is not always the case. The chance of picking any one item in a genuinely random sample is the same throughout the whole population. This means that the mode of the sample may not always be the same as the mode or mean of the population. The sample mode might be greater or lower than the population mode. The population size must always be equal to the sample size. If the population size is 500, the sample size must be 500 as well. Any sample size less than that of the population will not correctly reflect the population.

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The volume of the cylinder is 81π cubic meters.

The volume of a cylinder

Volume = π × radius² × height

The diameter of the cylinder is 6m, we can determine the radius by dividing the diameter by 2

Radius = diameter / 2 = 6m / 2 = 3m

Since the height is triple the radius

Height = 3 × radius = 3 × 3m = 9m

Now we can substitute these values into the volume formula

Volume = π × (3m)² × 9m

Volume = π × 9m² × 9m

Volume = 81π m³

Therefore, the volume of the cylinder is 81π cubic meters.

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9514 1404 393

Answer:

  True (or False--see comment)

Step-by-step explanation:

No restrictions were placed on the nature of the rational function, so it is possible to create one that has all three kinds of asymptotes.

The attached graph shows that, along with the rational function whose graph it is. The function's asymptotes are ...

_____

Additional comment

Our example function makes use of an exponential function. While that can be represented as a polynomial of infinite degree, it would usually not be considered a polynomial. Most authors define a rational function to be the ratio of polynomials.

A ratio of polynomials of finite degree cannot have all three kinds of asymptotes. It can have a vertical asymptote with either a horizontal or slant asymptote, but cannot have both a horizontal and a slant asymptote. The asymptote function is the quotient from the division of the numerator polynomial by the denominator polynomial. Any remainder from that division will necessarily tend to zero as the independent variable gets large.

9514 1404 393

Answer:

  (x, y) = (3, 2)

Step-by-step explanation:

It is a good idea to start by looking at what you have. You are looking for coefficients that are any of ...

Here, you find the coefficients of y are opposites, so the y-terms can be eliminated by adding the two equations together:

  (2x +5y) +(3x -5y) = (16) +(-1)

  5x = 15 . . . . . . simplify

  x = 3 . . . . . . . . divide by 5

Now, we can substitute into either equation to solve for y.

 2(3) +5y = 16

  5y = 10 . . . . . . subtract 6

  y = 2 . . . . . . . . divide by 5

The solution to this system of equations is (x, y) = (3, 2).

_____

Additional comment

Here, we found opposite coefficients, so we used "elimination" to solve the equations.

If a coefficient is ±1, then "substitution" may be a useful approach to solution.

If a pair of coefficients of the same variable are multiples of one another, then "elimination" can be used, but one of the equations needs to be multiplied by the opposite of that multiple factor to make the coefficients be opposites.

If none of the above relations exists, then a generic approach such as graphing, Cramer's Rule, or the "cross multiplication method" might be useful.

Answer:

( 3 , 2 )

Step-by-step explanation:

See attached images below for full mathematical explanation, couldn't do it on here, images go indepth.

Answer:

80 + 40 + (x + 64) = 180

120 + (x + 64) = 180

-120                  -120

x + 64 = 60

-64        -64

X = -4

Step-by-step explanation:

Let's double check

64 - 4 = 60

60 + 80 + 40 = 180 It works!

Therefore X = -4.

a) Null Hypothesis: H₀: P>0.22

Alternative hypothesis: H₁:P<0.22

b) Test statistic  Z = 2.5

The sample size is n = 1100.

Given the information, political research selected 1100 voters from the town and discovered that 25% of the citizens supported the building.

Given sample percentage "p" = 25% = 0.25, this follows.

A campaign strategist decided to check the assertion that more than 22% of people support building based on available data.

Assuming Population Proportion 'P' = 22% = 0.22

Q = 1 - p = 1 - 0.22=0.78

Given the available information, a political strategist wishes to test the assertion that more citizens prefer building than 22%, thus we assume the null hypothesis is true.

Null Hypothesis: H₀: P > 0.22

Alternative hypothesis: H₁: P < 0.22

The test of statistic

Z = (p - P) ÷ √(PQ ÷ n)

Z = (0.25 - 0.22) ÷ √(0.22 × 0.78 ÷ 1100)

Z = 2.5

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The solutions are given by all the values of x greater than 9. Therefore, the answer is x>9

In mathematics, an inequality is a link that compares two numbers or other mathematical expressions in an unfair manner. When comparing the sizes of two numbers on the number line, it is most usually utilized. Various notations are used to denote different types of inequality, including:

The notation for a<b is a is less then b

The notation for a>b is a is greater than b

Both scenarios show that a and b are not equal. An is strictly less than or strictly greater than b in certain connections, which is referred to as a strict inequality. Comparison is excluded.

The steps for solving the given equality is,

We have the following inequality in this instance.

2x - 3 > 15

Adding 3 on both sides of the inequality we get,

2x-3+3>15+3

2x>18

By dividing 2 on both sides of the equality we get,

x>9

The solutions are given by all the values of x greater than 9

Therefore, the answer is x>9

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The quadrilateral is a parallelogram.

Properties of parallelogram,

a>The opposite sides of the parallelogram are equal and parallel.

b>parallel lines have an equal slope.

Let now find the length of the opposite side of the parallelogram

To find the length we have ,

            \(\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}\)

(-2, 3) , (-2, 6)

Slope = 6-3/ -2+2 = infinity

Length L1 = \(\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }\)

                = 9

(-6, -1), (-6, 2)

Slope = 2+1/ -6 + 6 = infinity

Length L2 = \(\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }\)

                = 9

Therefore the given vertices are of a parallelogram, as the  length and slope are equal.

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Answer:

k = 3.

Step-by-step explanation:

By the Factor Theorem. if x+a is a factor of f(x)  then f(-a) = 0.

Here we use f(-1):

f(-1) = (-1)^3 + 2(-1) + k = 0

-1 - 2 + k = 0

k = 3.

Answer:

-5 -= -3; 0= 2; 3=5

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

Answer: choice D

Step-by-step explanation:

Trust me I did this test and got a 100

Answer:

33

Step-by-step explanation:

f(-6) = -3(-6) + 15

       = 18 + 15

       = 33

Answer:

12%

Step-by-step explanation:

Simple Interest Formula

\(\large \boxed{ \sf I = Prt}\)

where:

Given:

Substitute the given values into the formula and solve for r:

\(\implies \sf 104=1300r \left(\dfrac{8}{12}\right)\)

\(\implies \sf \dfrac{104}{1300}=\left(\dfrac{8}{12}\right)r\)

\(\implies \sf r=\dfrac{104 \cdot 12}{1300 \cdot 8}\)

\(\implies \sf r=\dfrac{1248}{10400}\)

\(\implies \sf r=0.12\)

Convert into a percentage by multiplying by 100:

\(\implies \sf r=0.12 \times 100=12 \%\)

Therefore, the interest rate is 12%.

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Answer:

11√12

Step-by-step explanation:

√12 = 2√3

2√12

= 2 * 2√3

= 4√3

√48 = 4√3

3√48

= 3 * 4√12

= 12√12

√75 = 5√3

2√12 + 3√48 - √75

= 4√3 + 12√12 - 5√12

= 16√12 - 5√12

= 11√12

Answer: My answer is 11√3

Step-by-step explanation:

Pull terms out from under the radical, assuming positive real numbers.

Exact Form:

11√3

Decimal Form:

19.05255888…

Carina have 300 cows and 400 goats originally.

for cows:

\(\frac{240}{(100-20)} =300\)

for goats:

\(\frac{240}{3} *5=400\)

Therefore, Carina have 300 cows and 400 goats originally.

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Answer:21.35415650406262242162304793119

You can use the pythagorean theorem to solve this question

Step-by-step explanation:

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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Since the probability is less than 5%, which is the conventional threshold for unusual results, we can conclude that the time of 14.5 seconds is unusual for this school's 100 meter sprint. Therefore, the correct answer is D) −1.5; unusual.

To solve this question, we need to calculate the z-score using the formula:

z = (x - μ) / σ

Where x is the individual time, μ is the mean time, and σ is the standard deviation.

Substituting the given values, we get:

z = (14.5 - 17.6) / 2.1 = -1.48

Since the calculated z-score is negative, we need to refer to the standard normal distribution table to find the corresponding probability. Looking up the z-score -1.48 in the table, we find that the probability is 0.0694 or approximately 6.94%.

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Answer:

x=−1 and y=9

Step-by-step explanation:

Answer:

x = -1

y = 9

Step-by-step explanation:

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general form of the equation of a line is y = mx+b,

where m is the slope (rate of change) and b is the y-intercept (starting position)

In this case, the equation y = -7x - 3 can be used to represent this situation.

Thus, the starting position is 3 meters below sea level (-3) and the fish is descending 7 meters per second (-7).

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Complete Question

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Which statement best describes the depth of the fish, given this equation?

A. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

B. From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

C. From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

D. From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

4,6,8

Step-by-step explanation:

Let x = 1st even integer

x+2 =2nd even integer

x+4 =3nd even integer

x+ x+2 + x+4 = 18

Combine like terms

3x+6 = 18

Subtract 6 from each side

3x+6-6=18-6

3x= 12

Divide by 3

3x/3 =12/3

x = 4

x+2 = 6

x+4 = 8

Answer:

When you rotate a figure around a center point other than the origin, the resulting image is translated or shifted from the original figure's position. This happens because the center of rotation affects the position of the figure after the rotation is performed.

If you rotate a figure around a center point that is not the origin, the figure will still undergo a rotation, but the position of the rotated figure will depend on the location of the center point. The center point of rotation acts as a pivot point and determines the new location of the rotated figure.

In summary, rotating a figure around a center point other than the origin will result in a translated image that is shifted from the original position of the figure. The amount of translation will depend on the location of the center of rotation.

Answer:

1000 less 35% == 650

so 250 given to charity

total cost making the pins was 1000x 1.10 = 1100

so you need to find 60 percent of 650 =390

and 40 percent of 650 = 260

so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal

Then you have 260 ÷2 = 130 x 5 = 650

so you have 650+1170 = 1820 - 1100 cost to make =720 pounds

think this right

Answer:

100%

Step-by-step explanation:

An exponential equation with a growth rate can be expressed as: \(f(x)=A(1+r)^x\) where r is a positive number, and represents the growth rate.

In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.

Answer:

sksjdkddudjdjn sjjdkdls

Answer:

Therefore, we have to round down: the whole number ones place value of 15.403, 15, remains 15, and the decimal point and all digits (.403) are removed.

So, on solving the provided question we can say that in the function we have m = 500, after 500 miles of driving, the expenses of the 2 plans are equal.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(m) = .2m + 75

f(m) = .35m

.2m + 75 = ,35m

.15m = 75

m = 500

After 500 miles of driving, the expenses of the 2 plans are equal.

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Answer:

I believe it would be inches.

Step-by-step explanation:

When companies are describing screen size, they always measure from one corner to the other and use inches.