The principal P is borrowed at simple interest rater for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answer to the nearest cent. P = $800.00 r = 4% t-=7 months a. $818.67 b. $18.67 c. $224.00 d. $1024.00

Answer:

1. ASA

2. SSS and SAS

Step-by-step explanation:

1. We know that two angles are congruent, and the side in between them is congruent, so the postulate we can use is the ASA postulate

2. SSS and SAS. We know that two sides are congruent. We can figure out that AC = AC by the reflexive property so we can use the SSS postulate. We can also use the SAS because two sides are congruent and the angle in between them is congruent too.

Answer and explanation:

Alright so first you find the lcm of 12 and 8 which is 4. So let's go:

1. 4 into 12 is 3

2. 4 into 8 is 2

\(4( {3x}^{2} + 2)\)

you're welcome

does this help its x=0, 2/3

Option A

Must click thanks and mark brainliest

Sorry if i am wrong

75% = 0.75

750 people / 0.75 = 1,000 people

There were 1,000 total people attending the game

Answer:

1,000 people

Step-by-step explanation:

At a basketball game, 75% of people attending were supporting the home team, while 25% were supporting the visiting team. If 750 people attending the game supported the home team, the total number of people attending the game was 1,000 people.

75% = 3/4 or 0.75

25% = 1/4 or 0.25

We need to find what 25% is.

75/3=25

75% = 0.75

750 people / 0.75 = 1,000 people

Therefore, there were 1,000 people at the game.

To determine if it is appropriate to use the given sample of 120 individuals, with 7 of them having a college degree, to calculate a 95% confidence interval for the percent of all California residents with a college degree, we can apply the rule of thumb for sample size.

The rule of thumb states that for estimating proportions, a sample size should be large enough so that both the number of successes (in this case, individuals with a college degree) and failures (individuals without a college degree) are at least 10.

In the given sample, there are 7 individuals with a college degree. To determine if this meets the rule of thumb, we need to ensure that both the number of successes and failures are at least 10. Since the sample size is 120, the number of failures can be calculated as 120 - 7 = 113.

Since both the number of successes (7) and failures (113) are above 10, the rule of thumb is satisfied. Therefore, it is acceptable to use these numbers to calculate a 95% confidence interval for the percentage of all California residents with a college degree.

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Answer:

\(y=\dfrac{1}{8}x^2+1\)

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

\(y=\dfrac{1}{8}x^2+1\)

Hope this helps!

Answer:

y = one eighth x^2 + 1

Step-by-step explanation:

i took the test and got it right

The supplementary angles are ∠GDF and ∠EDG, ∠CED and ∠BEC. The correct options are C and D.

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complementary angles is 90 degrees.

The sum of the two angles ∠GDF and ∠EDG is equal to 180°. So these angles are supplementary to each other.

The sum of the two angles ∠CED and ∠BEC is equal to 180°. So these angles are supplementary to each other.

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Answer:

16r2 + 24

Step-by-step explanation:

See the attached picture

Answer:

17

Step-by-step explanation:

Since the triangles have 2  sides equal, the smaller angle has a smaller side opposite to it

As 48 <54, then DF<AC and there is only one option <AC= 18, this is 17

Drinking iced coffee more often is associated with feeling more awake is most likely correlation and causation.

A relationship that most likely reflects correlation and causation is "Drinking iced coffee more often is associated with feeling more awake." The reason for this is that drinking iced coffee directly affects the level of alertness, which causes a change in the feeling of being awake.

This relationship suggests a cause-and-effect relationship between drinking iced coffee and feeling awake.

On the other hand, "Drinking iced coffee more often is associated with using a fan more often" and "Drinking iced coffee more often is associated with wearing shorts more often" do not reflect a cause-and-effect relationship.

The two variables are merely associated with each other, but there is no direct cause-and-effect relationship between them. It could be that both variables are related to a third factor, such as the weather, or that they are simply independent of each other.

In conclusion, when determining whether a relationship reflects correlation and causation, it is important to consider if there is a direct cause-and-effect relationship between the two variables.

Hence, the correct answer is c.

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--The given question is incomplete; the complete question is

"Each of these relationships reflects a correlation. Which relationship most likely reflects correlation and causation?

a. Drinking iced coffee more often is associated with using a fan more often.

b. Drinking iced coffee more often is associated with wearing shorts more often.

c. Drinking iced coffee more often is associated with feeling more awake."--

Answer: Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

Step-by-step explanation:

Let's call the amount by which each side is shortened "x". After the board is shortened on all sides by "x", its new dimensions will be (12-2x) inches by (8-2x) inches. The area of the new board will be:

(12-2x)(8-2x)

We want this area to be 45 square inches, so we can set up the equation:

(12-2x)(8-2x) = 45

Expanding the left side of the equation, we get:

96 - 40x + 4x^2 = 45

Rearranging and simplifying, we get a quadratic equation:

4x^2 - 40x + 51 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = -40, and c = 51. Plugging in these values, we get:

x = [40 ± sqrt((-40)^2 - 4(4)(51))] / (2(4))

x = [40 ± sqrt(136)] / 8

x ≈ 3.3/8 or x ≈ 1.8/8

However, we can see that if we choose x = 3.3/8 (approximately 0.4125 inches), then the new dimensions of the board would be negative, which does not make sense. Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

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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:

D. 14.4

Step-by-step explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

\(\frac{l-A}{l-B} =\frac{w-A}{w-B}\)

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

\(\frac{2}{5} =\frac{w-A}{36}\)

We can cross multiply:

72 = 5w-A

w-A = 14.4

Answer: A) 18x +15

Step-by-step explanation:

First distribute

20x + 15 - 2x

Then combine like terms

18x + 15

Answer:

A. 18x + 15

Step-by-step explanation:

5(4x + 3) - 2x

20x + 15 - 2x  --> Distributive Property

18x + 15 --> Combine Like Terms (C.L.T)

Answer:

536

Step-by-step explanation:

6 is the only even number so it must go at the end

5 is greater than three so it goes in the hundreds

Answer:

Width= 6cm2

Step-by-step explanation:

Area of a rectangle = width x length, so

27 = 4.5 · (x)

Solve this equation

27 = 4.5x -> x= 27/4.5 = 6

Check

A = w·l -> 27 = 4.5 · 6 -> 27 = 27

Answer:

its a right triangle

Step-by-step explanation:

because it has at least one right angle

Answer:

a right because it has kind of a 90 angle

Step-by-step explanation:

Answer:

you are on the right track

Step-by-step explanation:

the second ones right so you are right :)

A bijection between two sets is constructed below and also proved that it is both one-one and onto.

The phrase "one-to-one function" should not be mistaken with "one-to-one correspondence," which is used to describe bijective functions, in which each element in the codomain is a precise mirror image of a single element in the domain.

Any function that can work with the operations of two algebraic structures is said to be a homomorphism between them. An injective homomorphism is also referred to as a monomorphism for any commonly occurring algebraic structures, particularly vector spaces.

Let t∈T

Then,

t=2k+1, for some k∈Z

Let s=3k

Then,

s∈S and f(s)=2(s/3)+1

=2k+1

=t

Therefore, for every t∈T there exists s∈S such that f(s)=t

Thus, f is onto.

Hence,

f:S  ----> T is a bijective mapping

⇒|S|=|T|

Now, we have to define a mapping f:S ---?T

By f(x)=2(x/3)+1, ∀x∈S

Given,

S={3k|k∈Z} and T={2k+1:k∈Z}

We have to prove:

|S|=|T|

Let x, y∈ S with f(x)=f(y)

Then,

2(x/3)+1=2(y/3)+1

2(x/3)=2(y/3)

(x/3)=(y/3)

x=y

So, f is one-one

Now, we have proved that f is both one-one and onto.

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The critical value that corresponds to a 90% confidence level is 1.645.

When we are given a confidence level, we can use a confidence interval to calculate the margin of error, and with that we can find the critical value. The critical value is the value that represents the number of standard deviations we need to go from the mean to capture a certain proportion of the distribution.

For example, for a 95% confidence level, we want to capture 95% of the distribution, so we need to go 1.96 standard deviations from the mean.To find the critical value that corresponds to a given confidence level, we need to use a table of critical values for the standard normal distribution. This table tells us how many standard deviations we need to go from the mean to capture a certain proportion of the distribution.

For example, the critical value for a 95% confidence level is 1.96, while the critical value for a 99% confidence level is 2.58. So, if we are given a confidence level of 90%, we need to find the critical value that corresponds to capturing 90% of the distribution.Using the table of critical values, we find that the critical value for a 90% confidence level is 1.645.

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M is the mid point of BC. So ∠MDC = ∠N and ∠DCM is ∠MBN ∠DMC = ∠BMN

All the sides of the two angles are equal.So the area of ∠DCM = ∠BMN

A pie chart is a segmented circle whose segments portray the relative frequencies of the categories of some qualitative variable. In a pie chart, each segment represents a specific category, and the size of the segment corresponds to the proportion or percentage of that category within the whole dataset. Pie charts are commonly used to visualize the distribution of categorical data and allow for a quick understanding of the relative proportions of different categories.

Answer:

Step-by-step explanation:

You can see by the markings that ST is congruent to AY, and that TA is congruent to YS. Those are 2 sides, so so far we have SS. One important thing that comes up WAY TOO OFTEN IN GEOMETRY TO IGNORE is the fact that both of those triangles share the side SA. This is called the reflexive property. The theorem for congruency between these 2 triangles is SSS.

Answer:

whatever is closest to 94.25

Step-by-step explanation:

Answer:

about 94.25

Step-by-step explanation:

circumference formula --> 2πr

The expected value of a distribution is the weighted average of all possible values that a random variable can take on.

The expected value of a distribution is calculated by multiplying each possible value by its probability and then summing all of these products.

In other words, the expected value is the mean of the distribution.

To calculate the expected value of a distribution, you can use the following formula:

E(X) = ∑xP(x) , where

E(X) = the expected value,

x = possible value of the random variable,

P(x) = the probability of that value occurring.

For example, let's say we have a distribution with the following values and probabilities:

   x:   1       2       3       4        5
P(x): 0.1    0.2    0.3    0.2    0.2

To calculate the expected value, we would multiply each value by its probability and then sum the products:

E(X) = ∑xP(x)

       = (1)(0.1) + (2)(0.2) + (3)(0.3) + (4)(0.2) + (5)(0.2)

       = 0.1 + 0.4 + 0.9 + 0.8 + 1.0

       = 3.2

So, the expected value of this distribution is 3.2.

It is important to note that the expected value is a theoretical value and may not necessarily be observed in actual data. However, it is a useful measure for understanding the central tendency of a distribution.

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The * values that make the solution a whole number are given as follows:

* = 4 or * = 9.

The divisibility rule for 5 states that a number is divisible by 5 if its ones digit (i.e., the digit in the units place) is either 0 or 5. In other words, if the number ends in 0 or 5, then it is divisible by 5.

The solution to the equation is obtained as follows:

5x = (516 + 49*)

x = (516 + 49*)/5

Hence it is needed one of these two following cases:

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Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

Answer:

I believe that is true

Step-by-step explanation:

False, a quadratic graph can show more than one translation of the parent function.