Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance. P r compounded t ​ $ ​% Daily

Answer:

If I’m not wrong I think it’s the first one

Step-by-step explanation:

Answer:

b) tan 26° = 18/x

Step-by-step explanation:

tan is opposite/adjacent

Answer:

Answer B

Step-by-step explanation:

You have the angle, the opposite and are looking for the adjacent

The only solutions is using tan

tan = opposite / adjacent

A. To determine if an integral is convergent, we analyze the function's behavior, integrability, apply integration techniques, and examine its limits, ensuring they are finite, leading to a finite result.

B. To determine if an integral is divergent, we look for infinite limits, vertical asymptotes, and erratic behavior within the integration interval, indicating the lack of a finite value for the integral.

A. To determine if an integral is convergent, we need to consider several approaches. First, we check for basic convergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, ensuring the function is continuous or has a finite number of discontinuities. Next, we simplify the integral using integration techniques.

Finally, we analyze the behavior of the function at infinity and apply comparison tests if necessary to establish convergence.

B. To determine if an integral is divergent, we follow a series of steps. First, we check for basic divergence criteria such as infinite limits or vertical asymptotes.

Then, we examine integrability, looking for discontinuities that prevent integration. Next, we simplify the integral using integration techniques. Finally, if the integral does not converge, it is deemed divergent.

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Answer:

4/5 - 3/10 is 0.5.

Step-by-step explanation:

You want to divide top and bottom (Whatever you do to one side do to the other) So start off dividing 5 by 10 which wil give you 0.5, next you want to divide 4 by 3 which gives a repeating decimal so youll use the whole decimal (0.5) as an answer

Answer: 1/2

Explanation: To subtract unlike fractions such as 4/5 - 3/10, first find a common denominator.

The common denominator of 5 and 10 is the

least common multiple of 5 and 10 which is 10.

To get a 10 in the denominator of 4/5, we multiply both the numerator and the denominator of 4/5 by 2 to get the equivalent fraction 8/10.

Notice that 3/10 already has a 10 in the

denominator so it stays the same.

So we have 8/10 - 3/10 which is 5/10.

5/10 can be simplified to 1/2.

The procedure the researcher will use is called stratification sampling.

A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.

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The estimator is unbiased only when the true parameter value matches the mean of the sampling distribution; otherwise, it is biased.

In part (a), the estimator is biased because the mean of the sampling distribution is different from the true parameter value. In part (b), the estimator is unbiased as the mean matches the true parameter value. In part (c), the estimator is biased again because the mean does not align with the true parameter value.

Bias refers to the tendency of an estimator to consistently overestimate or underestimate the true parameter value. An unbiased estimator has a sampling distribution with a mean that equals the true parameter value. In this case, we observe that the estimator is only unbiased when the true parameter value matches the mean of the sampling distribution. When the true parameter value deviates from the mean, the estimator becomes biased.

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The point will be 90 degrees clockwise from the original figure, and the angle between the original and the rotated figure will be 90 degrees.

In order to rotate a figure 90 degrees clockwise about a point, you need to use the coordinate plane and apply the transformation matrix, which is a set of mathematical equations that describe the changes in the x and y coordinates of the figure.

First, you need to choose a point of rotation, which is a point around which the figure will be rotated. This point is usually denoted as the origin (0,0) in the coordinate plane. Next, you need to find the coordinates of the vertices of the figure and then apply the transformation matrix to each vertex.

The transformation matrix for a 90 degree clockwise rotation is:

x' = -y

y' = x

where x and y are the original coordinates of the vertex, and x' and y' are the new coordinates after the rotation. To apply this matrix, you simply need to multiply the original x and y coordinates by the corresponding elements of the matrix and then add the results to the origin.

Finally, you need to connect the vertices to form the new image of the figure after the rotation.

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Answer:

The average rte of change = 6

2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)

Step-by-step explanation:

1) The average of change of the function is found as follows;

At x = 0.75, y = -0.5, at x = 1.125, y = 1.75

Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6

2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.

Step-by-step explanation:

Answer:

Area: T = 18

a.  The triangle area using Heron's formula: T=  sqrt(s(s−a)(s−b)(s−c) )

​b. 2\(\sqrt{10}\)  

c. h = 5.69

d. T = 18

Step-by-step explanation:

a. T=  sqrt(s(s−a)(s−b)(s−c) )

T=sqrt( 11.16(11.16−10)(11.16−6)(11.16−6.32) )

​T=  sqrt(324 )

​T =18

b. We compute the base from coordinates using the Pythagorean theorem

c=  sqrt( ((−2−4)^2)+ ((1−3) ^2) )

c= sqrt(40) = 2sqrt(10)

c. Calculate the heights of the triangle from its area

​  

The error bound will be 0.877 with the sample mean being 13.30 with a sample standard deviation of 1.55.

To find the error bound, we need to calculate the margin of error, which is the maximum likely difference between the true population mean and the sample mean. We can find this using the formula:

Margin of error = z* (standard deviation / sqrt(sample size))

Where z* is the critical value of the standard normal distribution that corresponds to the desired confidence level.

Since the confidence level is 95%, we can use the z* value of 1.96, which represents the number of standard deviations from the mean that includes 95% of the population.

Plugging in the values we have:

Margin of error = 1.96 * (1.55 / sqrt(12))

Simplifying this, we get:

Margin of error = 1.96 * 0.448 = 0.877

Therefore, the error bound is 0.877. This means we can be 95% confident that the true population means for the amount of soda served in the 16 oz. serving size falls within the range of 13.30 ± 0.877, or between 12.423 and 14.177.

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Answer:

b + (-24) > 15

b-24+24>15+24

b>39

Answer:

b > 39

Step-by-step explanation:

isolate b

b - 24 > 15

  +24 > +24

b > 39

After solving the expression, the number is 5.

In the given question we have to answer twice the sum of five times a number increased by one is twelve.

We have to determine the number by solving the given statement.

To solve the question we have to read the statement carefully. Then write the expression according to the statement. Then solve the statement according the rules.

In the given statement given that five time a number.

Let the number be x. So the expression should be 5x.

Again says that five times a number increased by one. So the expression 5x+1.

Then says that twice the sum of five times a number increased by one. Now the expression should be 2(5x+1).

Then says that twice the sum of five times a number increased by one is twelve. Now the statement is 2(5x+1)=12

Now solving the expression.

Divide by 2 on both side, we get

5x+1=6

Subtract 1 on both side, we get

5x=5

Divide by 5 on both side, we get

x=1

Now the number is 5.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

Its not linear

Step-by-step explanation: Linear means it travels in a perfect line

The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

From the information given,

About 2% of the population has a particular genetic mutation, and 100 people are randomly selected.

The standard deviation for the number of people with the genetic mutation in such groups of 100 is obtained below;

The required standard deviation is,

p = 0.02 and n = 100;

1 - p = 1 - 0.02

       = 0.98

σ = \(\sqrt{n*(1-p)*p}\)

σ = \(\sqrt{100*0.02*0.98}\)

σ = 1.4

The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4

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Answer:

b

Step-by-step explanation:

Answer:

x=4 or x= -2

Step-by-step explanation:

(x-1)(x-1)

x(x-1)-1(x-1)

x^2-x-x+1

x^2-2x+1=9

x^2-2x+1-9=0

x^2-2x-8=0

p= -8

s= -2

1------ -8

2------ -4

x^2+2x-4x-8=0

x(x+2)-4(x+2)

(x+2)(x-4)=0

x+2=0

x-4=0

x= -2

or

x=4

Answer: (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

Step-by-step explanation:..hope this helps uwu have a great day xlXCherryColaXlx..(pls mark me brainliest)

Answer:

The solution is −6+10.

Step-by-step explanation:

The probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.

To find the probability that the sample mean will be less than 9.10 ounces, we need to use the Central Limit Theorem. Given that the sample size is large (n = 25) and assuming that the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed.

To calculate the probability, we need to standardize the sample mean using the formula z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Since the population mean and standard deviation are not provided, we cannot determine the exact probability. However, we can still indicate the interval that includes the probability.

Based on the given answer choices, the appropriate interval that includes the probability would be .0000 to .0500, as it represents the lowest range of probabilities.

In conclusion, the probability that the sample mean will be less than 9.10 ounces falls within the range of .0000 to .0500.

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer:

y=3*2+2

Step-by-step explanation:

y=3*2+2

=3*2=6

=6+2=7

y=7

Answer:

8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192, and so on..

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160......

Step-by-step explanation:

8 * 1 = 8

8 * 2 = 16

8 * 3 = 24

8 * 4 = 32

8 * 5 = 40

8 * 6 = 48

8 * 7 = 56

8 * 8 = 64

8 * 9 = 72

8 * 10 = 80

8 * 11 = 88

8 * 12 = 96

8 * 13 = 104

8 * 14 = 112

8 * 15 = 120

8 * 16 = 128

8 * 17 = 136

8 * 18 = 144

8 * 19 = 152

8 * 20 = 160

Just keep multiplying numbers by 8.

Answer:

y ≥ 2x - 3

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (2,1)

We see the y increase by 4 and the x increase by 2, so the slope is

m = 4/2 = 2

Y-intercept is located at (0, -3)

Because the graph is on top left, so the equation will be y ≥ 2x - 3

Answer:

Tengoo

Step-by-step explanation:

Miedo

\( \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ \)

\( \frac{15}{4} \div \frac{1}{5} = \\ \)

\( \frac{15}{4} \times \frac{5}{1} = \\ \)

\( \frac{75}{4} = \\ \)

\( \frac{72 + 3}{4} = \\ \)

\( \frac{72}{4} + \frac{3}{4} = \\ \)

\(18 + 0.75 = \)

\(18.75\)

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

Answer:

h ≈ 29.98

Step-by-step explanation:

diameter = 12m

volume = \(1130m^{3}\)

radius = 6m

The equation to find the height given radius and volume:

\(h = \frac{3(V)}{\pi r^2}\)

Plug in values

Answer:

Given:-

Diameter=12m

Volume=1130m³

Takeπ=3.14

To find:-

Height of cone=?

Step-by-step explanation:

Solution:-

Radius=d/2

= 12/2

=6m

Volume of cone=1/3πr²h

h= 3v/πr²

= 3×1130/3.14× 6²

= 3390/113.04

= 29.98m

hence, the height of cone is 30m.