(cscx + 1)(cscx - 1)/ csc² x

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

The sample mean variance of the continuous distribution will be 0.3428.

The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.

14 is the greatest and 1 is the smallest value in a uniform continuous distribution.

36-size samples are taken from the distribution.

Now,

Variance among the population = 14 – 2 = 12

The sample size is 36.

Given that the sample means' variance is defined as;

= Variation in the population / Sample Size

If you replace all the values, you get;

= 12 / 35

= 0.3428

As a result, the sample mean variance will be 0.3428.

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Answer:

88°

Step-by-step explanation:

5a + 18 + 24 - a + 8a - 30 = 180 (angles on a straight line)

=> 12a + 12 = 180

=> 12a = 168

=> a = 168 / 12

=> a = 14

5a + 18 = 5 (14) + 18 = 70 + 18 = 88

24 - a = 24 - 14 = 10

8a - 30 = 8 (14) - 30 = 112 - 30 = 82

Therefore, largest angle is 88°.

Hope it helps :)

Please mark my answer as the brainliest

Answer: 300

Step-by-step explanation: 25 times 12 = 300. 20 times 12 = 240. 5 times 12 = 60. 60 + 240 = 300

Answer:

300

Step-by-step explanation:

25 times 12 = 300. 20 times 12 = 240. 5 times 12 = 60. 60 + 240 = 300

Answer:

the answer is second option

1/3×πr²h

1/3×π×36×5

60π

Answer:

Tina is correct

Step-by-step explanation:

Given

\(Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3\)

Required

State if \(3a^4b^3(4-6a^2-24a^3)\) is a possible dimension

To do this, we simply expand \(3a^4b^3(4-6a^2-24a^3)\)

\(3a^4b^3(4-6a^2-24a^3)\)

\(3a^4b^3 * 4-3a^4b^3 * 6a^2-3a^4b^3 * 24a^3\)

\(12a^4b^3 - 18a^{4+2}b^3 * -72a^{4+3}b^3\)

\(12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3\)

By comparison, the result of the expansion

\(12a^4b^3 - 18a^{6}b^3 * -72a^{7}b^3\)

and the given expression

\(Area = 12a^4b^3 - 18a^6b^3 - 72a^7b^3\)

are the same.

Hence, Tina is correct

We need to graph the next given inequalities:

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

To find the x-intercept, set y=0

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0

Answer: Mike stops running at 12:18 PM

Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.  

Answer:

12:18 P.M

Step-by-step explanation:

So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48

So Mike spends 48 minutes running the 4 miles.

Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.

which in conclusion means,

Mike will finish his 4 miles at 12:18 P.M

An exponential function is a mathematical function that models a relationship between a variable (in this case, t) and a constant multiplied by the power of another variable (in this case, y). The general form of an exponential function is y = ab^t, where

In this specific scenario, we are told that in 1997, the population of a city was 220,000 people and that each year since then, the population has grown by 6.2%. We can use this information to find the values of a and b in the exponential function.

The initial value, a, is simply the population of the city in 1997, which is given as 220,000.

To find the value of b, we need to determine how much the population increases each year as a proportion of the current population. We are told that the population grows by 6.2% each year. This means that if the population is currently P, the population will be (1 + 0.062)P the next year. We can write this as P(1.062) as the growth factor b.

So, combining the values of a and b, we have:

y = 220,000 * (1.062)^t

This equation tells us that the population of the city, y, is equal to the initial population of 220,000 multiplied by the growth factor of 1.062 raised to the power of t, where t is the number of years since 1997. This equation expresses the relationship between population and time.

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Answer:

  angle 5

Step-by-step explanation:

Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.

In this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.

The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)

The angle that is an alternate interior angle relative to angle 4 is angle 5.

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

Answer:

The exact value of cos(45°) is √(2) / 2.

Step-by-step explanation:

Answer:

Answer:√2/2=cos45

√2/2×√2/√2=2/2√2

1/√2

Answer:

-2.4

-0.8

0.2

0.9

1.6

Step-by-step explanation:

I just know.

Answer:

27 inches or 2 feet 3 inches

Step-by-step explanation:

78-51=27

Answer:

13/24x - 3

Step-by-step explanation:

Hope this helps!

The simplified form of expression 1/6x+3/4(1/2x−4) is 7/24x-3.

An expression is combination of variables, numbers and operators.

The given expression is  1/6x+3/4(1/2x−4)

One by six times of x plus three by four times of one by to of x minus four.

Apply distributive property to remove the parenthesis

1/6x+3/4(1/2)x-3/4(4)

1/6x+3/8x-3

The LCM of 6 and 8 is 24.

4x+3x-72/24

Add the like terms in the above expression.

7x/24-72/24

7x/24-3

Hence, the simplified form of 1/6x+3/4(1/2x−4) is 7/24x-3.

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Answer:

np

Step-by-step explanation:

To solve the inequality 4x - 7 >= 13, we can follow these steps:Add 7 to both sides of the inequality:

4x - 7 + 7 >= 13 + 7Simplify the left side and right side:

4x >= 20Divide both sides by 4 (since we want to solve for x, not 4x):

4x/4 >= 20/4Simplify:

x >= 5Therefore, the solution to the inequality 4x - 7 >= 13 is x >= 5.

Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

If sinA = 3/8, the value of cosec A - sec A is (72√55 - 440)/495

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

If sin A = 3/8

and SinA = opp/ hyp

opp = 3 and hyp = 8

using Pythagoras theorem

8² = 3²+adj²

adj = √ 8²-3²

adj = √64-9

adj = √55

cos A = √55/8

sec A = 1/CosA = 8/√55

cosec A = 1/sinA = 8/3

cosec A-sec A = 8/ √55 - 8/3

= (24-8√55)/3√55

= (72√55 - 440)/495

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Answer:transversive property

Step-by-step explanation:

The expected number of games it will take to win on a slot machine game with a probability of winning of 0.152 is approximately 6.579 games.

The expected number of games can be calculated using the formula for the expected value of a geometric distribution. In this case, the probability of winning on each game is 0.152.

The expected number of games is calculated as the reciprocal of the probability of winning. Therefore, the expected number of games is 1 divided by 0.152, which is approximately 6.579.

This means that on average, it is expected to take approximately 6.579 games to win on the slot machine. However, it's important to note that this is an average value and individual experiences may vary. Some players may win on their first few games, while others may take more games to win. Nonetheless, on average, it is expected to take approximately 6.579 games to achieve a win.

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Based on the fact that the chance of having a boy or a girl is 50%, the probability of the Smiths having two girls is 25%.

When you are faced with two independent events happening one after the other, the way to find their probability is:

= Probability of first event x Probability of second event

The probability of the Smiths getting two girls is therefore:

= 50% x 50%

= 25%

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The derivative formula for the function g(x) = 15 - 8ln(x) is g'(x) = -8/x.

To find the derivative of g(x), we can use the power rule and the chain rule. The power rule states that the derivative of x^n is n*x^(n-1), and the chain rule allows us to differentiate composite functions.

In this case, g(x) is a combination of a constant function (15) and the natural logarithm function (ln(x)). The derivative of the constant term (15) is 0 since it does not depend on x.

The derivative of the natural logarithm function, ln(x), is 1/x. Therefore, using the chain rule, the derivative of -8ln(x) is -8 * (1/x), which simplifies to -8/x.

Hence, the derivative of g(x) = 15 - 8ln(x) is g'(x) = -8/x.

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The stationing of BC1, EC1, BC, and EC2 can be determined by adding the respective distances to the station of Point A.

To determine the station of BC1, EC1, BC, and EC2, we need to understand the concept of stations in road centerline alignment. In road design and construction, stations are used to measure distances along the centerline of the road. The station of a point refers to its distance from a reference point, typically the starting point of the road.

Given that the station of Point A is 3+ def ghi, we can assume that the stationing system used is based on chainage, where the main stations are represented by whole numbers and the sub-stations are represented by decimals or fractions.

Let's break down the given distances:

The distance from Point A to Pls is 222.841.

The distance from Point Ply to Ply is 345.036.

The distance from Point Pl2 to b is 214.761.

Based on the given information, we can determine the stations as follows:

Station of Point A: 3+ def ghi (given).

Station of BC1: Station of Point A + Distance from Point A to Pls = 3+ def ghi + 222.841.

Station of EC1: Station of BC1 + Distance from Point Ply to Ply = (3+ def ghi + 222.841) + 345.036.

Station of BC: Station of EC1 + Distance from Point Pl2 to b = ((3+ def ghi + 222.841) + 345.036) + 214.761.

Station of EC2: Station of BC + Distance from Point Pl2 to b = ((3+ def ghi + 222.841) + 345.036 + 214.761) + 214.761.

The above equations represent the stationing along the road centerline from Point A to BC1, EC1, BC, and EC2, respectively. By substituting the given station of Point A and the distances into the equations, we can calculate the stations of BC1, EC1, BC, and EC2.

Please note that the specific numerical values for def, ghi, and the distances are not provided in the question, so the actual station values cannot be determined without those values. However, you can substitute the known values into the equations to calculate the stations once you have the complete information.

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Shape of the base: Rectangle,

Prism or Pyramid: Prism

How do you know: when the given information specifies that the shape of the base is a rectangle, it means that one base of the prism is in the shape of a rectangle. A rectangle is a type of quadrilateral with four right angles and opposite sides that are equal in length.

Name of the 3D Shape: Rectangular Prism

A prism is a type of 3D shape that has two parallel and congruent polygonal bases, and these bases are connected by rectangular faces that are perpendicular to the bases. The shape of the bases determines the overall shape of the prism.

So, when it is mentioned that the shape is a prism and the base is a rectangle, it means that the 3D shape being described has a rectangular base and the sides connecting the bases are perpendicular rectangles as well. This type of prism is called a rectangular prism, and it is a common shape used in many everyday objects, such as boxes, cuboids, and bricks.

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The statistic that can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review is the inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa.

In a systematic review, multiple screeners may independently appraise articles to ensure consistency and minimize bias. The inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa, is used to measure the agreement between these screeners. These statistics provide a quantitative measure of the extent to which the screeners' assessments align with each other beyond what would be expected by chance. Higher values of the inter-rater reliability coefficient indicate greater agreement among the screeners, suggesting more reliable and consistent evaluations of the articles in the systematic review.

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All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.

The polynomial can be expressed as \(ax^{2} +bx+c=0\), where a, b and c are real numbers. The numbers by which the polynomial expression values equal zero are termed zeroes of the polynomial.

The number of zeroes of the polynomial depends on the highest power of the polynomial.

As x + 2 is one of the factor of f(x),

Now, dividing x³ - 5x² - 2x + 24 by x + 2, we get

Quotient = \(x^2-7x+12\)

Remainder = 0

Now, factorizing the quotient by splitting the middle term,

\(x^2-3x-4x+12=0\)

\(x(x-3)-4(x-3)=0\)

\((x-3)(x-4)=0\)

Now, equating both values to 0, we get

x = 3 and x = 4

All the zeroes of the polynomial x³ - 5x² - 2x + 24 are -2, 3, and 4.

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Answer:In this item, I take it that we are to get  the cube root of the given expression, -64x6y9. First, we look into the numerical coefficient, this is the product when -4 is multiplied to itself three times as shown below.

   -64 = (-4)(-4)(-4)

Then,

  x6 = x2 (x2) (x2)

and,

   y9 = (y3)(y3)(y3)

If we take the cube root, we consider only one item per product. Thus, the answer is,

   -4x²y³

Step-by-step explanation:

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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