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Which function represents the graph of y=3(12)^x?
a
b
c
d

Answer:

See below for answers and explanations

Step-by-step explanation:

First, find the missing side using the Pythagorean Theorem:

c²=a²+b²

65²=a²+16²

4225=a²+256

3969=a²

63=a

Therefore:

sinα = opposite/hypotenuse = 63/65

cosα = adjacent/hypotenuse = 16/65

tanα = opposite/adjacent = 63/16

sinβ = opposite/hypotenuse = 16/65

cosβ = adjacent/hypotenuse = 63/65

tanβ = opposite/adjacent = 16/63

Answer:

B

Step-by-step explanation:

i think because I searched it

The factor of the polynomial is (x-1)

f(x)=x4 + 3x3 − 3x2 − x

At x=1 the value of the polynomial is 0

so this is factor of the polynomial (x-1)

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The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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Answer:

9 I believe

all i did was 45÷5 :/

Answer:

if ur going left to right it would be d

Step-by-step explanation:

The (0, 3] is taken out of the picture leaving you with B.

We have given that,

Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours.

We have to determine the,

The plant manager knows the two machines will take at least 6 hours, as represented by the inequality

after you find the intervals.

you also need to consider that the plant manager knows the two machines will take at least 6 hours.

so (0, 3] is taken out of the picture leaving you with B.

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After four hours, the height of the candles will be the same.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A red candle has an 8-inch height and burns at a 7/10-inch per hour rate. A 6-inch tall blue candle burns at a rate of 1/5 inch per hour.

Let x be the number of hours and y be the height.

y = -0.70x + 8           ...1

y = -0.20x + 6             ...2

From equations 1 and 2, then we have

- 0.20x + 6 = - 0.70x + 8

(0.70 - 0.20)x = 8 - 6

0.50x = 2

x = 4 hours

After four hours, the height of the candles will be the same.

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The product rule can be used to predict the probability of independent events. In probability theory, an event refers to a set of possible outcomes of an experiment. Two events are said to be independent if the occurrence of one does not affect the probability of the occurrence of the other.

For two independent events, A and B, the product rule states that the probability of both A and B occurring is given by the product of their individual probabilities:  P(A and B) = P(A) x P(B).This rule is used to determine the probability of two or more events happening together. It is based on the assumption that the events are independent, meaning the occurrence of one does not affect the probability of the occurrence of the other.

In case of dependent events, the probability of the second event depends on the outcome of the first event. In that case, the product rule is not applicable.The product rule is a fundamental principle of probability theory and is widely used in many areas of science and engineering. It has important applications in fields such as genetics, finance, and insurance, where probabilities of independent events are often calculated.

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Answer:

D. Division property of equality.

Step-by-step explanation:

\( - 5x = 4 \: \: \: \frac{ - 5x}{ - 5} = \frac{4}{ - 5} \: \: \: \: x = \frac{ - 4}{5} \)

We divided the terms on both sides by -5.

Hope this helps ;)❤❤❤

Answer:

a.) 3+5+2+6+5+7+4+8+6=46

46/9=5.1

Step-by-step explanation:

To solve for mean you must add all the numbers and divide by the amount of numbers that are given.

The minimum sample size needed for 95% confidence that the sample variance is within 5% of the population variance is given by n = (1.96² * σ²) / (0.05²).

The minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance can be calculated using the formula:

n = (Z² * σ²) / (E²)

where:

n is the minimum sample size,

Z is the z-score corresponding to the desired confidence level (in this case, 95% confidence corresponds to a z-score of approximately 1.96),

σ² is the population variance, and

E is the maximum allowable difference between the sample variance and the population variance (expressed as a proportion of the population variance).

The formula ensures that the desired confidence level is achieved while limiting the difference between the sample and population variances within the specified threshold.

In summary, to determine the minimum sample size needed to be 95% confident that the sample variance is within 5% of the population variance, you can use the formula n = (1.96² * σ²) / (0.05²), where σ² represents the population variance.

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Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.

A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.

In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.

On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.

In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.

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Yes, the given transformation is found to be  linear.

To determine if a transformation is linear, we need to check two conditions: preservation of addition and preservation of scalar multiplication.

For the preservation of addition, let's consider two arbitrary vectors u and v in R^2.

The transformation Lwt translates each vector up by 3 units.

Therefore,

Lwt(u+v) = (u+v) + (3,3)

= (u + (3,3)) + (v + (3,3))

= Lwt(u) + Lwt(v).

For the preservation of scalar multiplication, let's consider an arbitrary vector u in R^2 and a scalar c. The transformation Lwt translates the vector u up by 3 units.

Therefore,

Lwt(cu) = cu + (3,3)

= c(u + (3,3))

= cLwt(u).

Since both conditions hold true, the transformation Lwt is linear.

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Answer:

36

Step-by-step explanation:

FG ≅ QG

Its the same as the other side

24 and 24

so 36 and 36

:)

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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According to the question the  graph the line -3x + 5y = 15, we can start by solving for y:

-3x + 5y = 15

5y = 3x + 15

y = (3/5)x + 3

As an algebraic framework that depicts a specific function by joining a collection of points, a graph is defined. It establishes a pairwise connection among the items. The graph is made up of nodes (vertices) linked by edges. (lines).

Briefing :

Now we have the equation in slope-intercept form (y = mx + b) where the slope is 3/5 and the y-intercept is 3.

To graph the line, we can start at the y-intercept (the point (0, 3)) and then use the slope to find additional points. Since the slope is 3/5, we can move up 3 units to the right 5 units to get to the point (5, 6), and down 3 units to the left 5 units to get to the point (-5, 0). Connect these points to get the line.

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The number of revolutions per minute the wheels are rotating is 2293 rpm (approximately).

Given, the speed of the car is 65 miles per hour and the diameter of the wheels is 2.5 feet.

To find: The number of revolutions per minute the wheels are rotating.

Formula used: We know that the distance traveled in one revolution (circumference of the circle) = π * diameter

Let "r" be the radius of the circle, so the diameter of the wheel is 2.5 feet.

Therefore, radius of the wheel r = 2.5/2 = 1.25 feet = 15 inches.

=> Circumference of the wheel = 2πr= 2*π*1.25 = 2.5π feet

In one mile there are 5280 feet.

So, the distance traveled by the car in one hour = 65 * 5280 feet/hour = 343200 feet/hour.

To find the number of revolutions in one minute, we will need to convert feet per minute (fpm).

Therefore, number of feet per minute = 343200/60 = 5720 feet per minute (fpm).

Now, we can calculate the number of revolutions per minute (rpm):

The number of revolutions per minute (rpm) = Feet per minute (fpm) / distance traveled in one revolution (circumference of the wheel)

=> rpm = fpm / Circumference of the wheel= 5720 / 2.5π= 2292.9 rpm (approximately)= 2293 rpm (approximately)

Therefore, the number of revolutions per minute the wheels are rotating is 2293 rpm (approximately).

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a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.

To calculate the volume occupied by a sample of osmium, we can use the formula:

Volume = Mass / Density

Given:

Mass = 21.8 g

Density = 22.6 g/cm³

Substituting these values into the formula:

Volume = 21.8 g / 22.6 g/cm³

Simplifying:

Volume = 0.9646 cm³

what is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.

In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.

Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.

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Answer:

plz mark me brainliest

Step-by-step explanation:

thanks for question

Answer:

Step-by-step explanation:

First, let's do the easy part of finding the mean.

we have 5 integers so we add everything in our set and divide by 5.

9+7+7+7+0 = 30 now we shouldn't forget to divide by 5 and 30/5 = 6

The mean is 6 and we rule out options A and C.

The standard deviation is found by doing the following steps:

1. Get the mean of the set (6)

2. subtract each number in the set from the mean and then square the result.

(6-9)^2 = 9

(6-7)^2 = 1

(6-7)^2 = 1

(6-7)^2 = 1

(6-0)^2=36

3. Now, find the mean of the numbers we just got.

9+1+1+1+36 = 48 Now we divide by 5 because of the number of digits in our set. 48/5 = 9.6

4. Finally, we square root 9.6 and we get about 3.1.

The answer is D.

Answer:

It is D             that is the answer

If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.

What do you mean by a plane?

In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.

                          A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be a real number

  and z must b 0

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be real number     y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0     y must be real number

  and z must be  a real number

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer

-0.5; -0.9;-0.66049345252453235

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

4 cans - $0.98

1. $0.98/4 = $0.245 will cost 1 can

2. $0.245 × 5 = $1.225 will cost 5 cans

so $1.225 = $1.23

so the answer is B

Answer: $38 is the amount saved

To get second discount, 90% of the price must be > $100  

hence 90% of 199.99 = 199.99/100*90 = $179.991 (Price after 1st discount)

Since the price after first discount is > $100 , it is eligible for second discount.  

Price after 2nd discount of 10% = 179.991/100*90 = $161.9919

Savings = 199.99-161.9919 = 37.9981 = 38 dollars saved.

Step-by-step explanation:

199.99 * 0.9 = 179.99

179.99 * 0.9 = 161.99

199.99 - 161.99 = $38 amount saved

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are  -28 and -30.

The difference between two consecutive even integers is 2.

Let the integers be a and (a+2). Then,

a² + (a + 2)² = 1684

a² + a² + 4a + 4 = 1684

2a² + 4a - 1680 = 0

a² + 2a -840 = 0

Hence, we get a quadratic equation.

There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.

Use the factoring method:

a² + 2a -840 = (a - 28) (a + 30)

a = 28  and a = -30

Hence, if the integers are positive, they are: 28 and 30.

If the integers are negative, they are -28 and -30.

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Answer:

the table is correct

the graph will look like: