Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?

Answer:

14

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

\(\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10\)

A student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.

What is percentile rank?

A percentile rank describes a student's performance in relation to other students in the same grade and subject who made up the specific norm group. The percentile rank of a student indicates whether their score was equal to or higher than the percentage of students in the norm group.

The percentage of scores in a frequency distribution that are lower than a given score is known as the percentile rank of that score in statistics.

A percentile rank of 75 indicates that the student outperformed 75% of the other students in his or her norm group, and 25% of the students outperformed your student.

Hence, a student who obtained a percentile rank of 75 on an achievement test is best characterized as having scored higher than 75% of the test takers.

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Answer:

yeah me too

Step-by-step explanation:

Answer:

-8m

Step-by-step explanation:

This question only requires to to substitute t = 0 and t = 1 into the equation to find the displacement.

Lets find the displacement at t = 0.

\(x(0)=4sin(\pi (0)+\frac{\pi }{2} )\\=4sin(\frac{\pi }{2} )\\= 4m\)

Lets find the displacement at t = 1.

\(x(1) = 4sin(\pi (1)+\frac{\pi }{2} )\\=4sin(\pi +\frac{\pi }{2} )\\=-4m\)

Total displacement = Final Position - Initial Position

= x(1)-x(0)

= -4m - 4m

= -8m

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

$54.60

Step-by-step explanation: 5% of 52 is 2.60. Add 52 and 2.60:)

Answer:

              Yearly  interest    Monthly interest

                                                $   4.17

                $ 50.00

Step-by-step explanation:

The probability of the message being "hi" given the ciphertext "st" is 0.

Consider a shift cipher with three possible messages, with a distribution of probabilities. The three possible messages are as follows:

Pr[M=‘hi’] = 0.3,

Pr[M=‘no’] = 0.2, and

Pr[M=’in’] = 0.5.

To solve this problem, we can use Bayes' theorem. We want to find the probability of the message being "hi" given the ciphertext "st".

Using Bayes' theorem, we have:

Pr[M=‘hi’ | C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] / Pr[C=‘st’]

We can break this down into three parts:

Pr[C=‘st’ | M=‘hi’]:

This is the probability that the ciphertext is "st" given that the message is "hi".

To find this probability, we need to encrypt the message "hi" using the shift cipher. If we shift each letter in "hi" by one (i.e., a becomes b, h becomes i, and i becomes j), we get the ciphertext "ij". Since "ij" does not contain the letter "s", we know that Pr[C=‘st’ | M=‘hi’] = 0.Pr[M=‘hi’]:

This is the probability of the message "hi", which is given as 0.3.Pr[C=‘st’]:

This is the probability of the ciphertext "st". We can find this probability by considering all the possible messages that could have been encrypted to produce "st".

There are three possible messages: "hi", "no", and "in". To encrypt "hi" to "st", we need to shift each letter in "hi" by two (i.e., a becomes c, h becomes j, and i becomes k). This gives us the ciphertext "jk".

To encrypt "no" to "st", we need to shift each letter in "no" by five (i.e., n becomes s and o becomes t). This gives us the ciphertext "st". To encrypt "in" to "st", we need to shift each letter in "in" by three (i.e., i becomes l and n becomes q). This does not give us the ciphertext "st", so we can ignore it.

Therefore, Pr[C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] + Pr[C=‘st’ | M=‘no’] * Pr[M=‘no’] = 0 + 0.2 * 1 = 0.2

Now we can plug in the values we have found:

Pr[M=‘hi’ | C=‘st’] = 0 * 0.3 / 0.2 = 0

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Step-by-step explanation:

❉ \( \underline{ \underline{ \sf{Given}}} : \)

❉ \( \underline{ \underline{ \sf{To \: find}}} : \)

Plug the value of x and simplify :

⟿ \( \sf{7(4 + 5)}\)

Add the numbers : 4 and 5

⟿ \( \sf{7 \times 9}\)

Multiply 7 by 9

⟿ \( \boxed{ \sf{63}}\)

\( \red{ \boxed{ \boxed{ \tt{⇾Our \: final \: answer : 63}}}}\)

Hope I helped ! ♪

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Step-by-step explanation:

In this problem, all we have to do is replace x and y with the values we've been given.

It can be helpful to think of 3x as 3 * x (which is the same exact thing), so I'll write it out that way.

3*x - 4*y

(replace)

3*4 - 4*3

(multiply (doing this step first because of PEMDAS))

12 - 12

(subtract)

0

Answer:

0

Answer: 0

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

3x - 4y

x = 4, y = 3

Substitute value of x and y

3(4) - 4(3)

Simplify multiplication

12 - 12

Final subtraction

0

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(4x+3)(2x-5)

Step-by-step explanation:

8 factors: 1,8  2,4

-15 factors: -1,15  -3,5  -5,3  -15,1

(4x+3)(2x-5)

Answer:

(4x+3)(2x-5)

Step-by-step explanation:

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

Answer:

140

Step-by-step explanation:

15/100 = 21

21*100= 21000

21000/15= 140

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

-------------------

0x -y = -5

-y =-5

Multiply by -1

y = 5

Answer:

B

Step-by-step explanation:

It b because in the first columb it has the ordered pair (0,-2) the -2 is your y intercept and be has -2 in the equation.

Answer:

B

Step-by-step explanation:

Answer:

\(x\approx-0.7149\)

Step-by-step explanation:

\(\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149\)

Recall that the change of base formula is \(\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}\)

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

Answer:

110.9° = 111°

Step-by-step explanation:

Given ∆ABC, where

length of side AB = 15 cm,

length of side AC = 7 cm

length of side BC = 11 cm

Required:

Size of largest angle in ∆ABC

SOLUTION:

The size of the largest angle in the triangle is the angle that has the largest side length opposite it.

Therefore, the largest angle in ∆ABC = <C, which has a side length of 15 cm opposite it.

=>Find the angle of C using the Law of Cosine

Cos C = (a² + b² - c²)/2ab

Cos C = (11² + 7² - 15²)/2*11*7

Cos C = (121 + 49 - 225)/154

Cos C = -55/154

Cos C = -0.3571

C = Cos-¹(-0.3571)

C = 110.9° ≈ 111°

Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

The root of the function \(\(f(x) = 5\cos(x) - \sqrt{x^2 + 1} + 2^{x-1}\)\) lies within the interval \(\([-1, 0]\)\).

To find the interval where the root of the given function lies, we need to analyze the behavior of the function within certain intervals. Let's consider the interval  \(\([-1, 0]\)\).. For \(\(x = -1\)\), we have \(\(f(-1) = 5\cos(-1) - \sqrt{(-1)^2 + 1} + 2^{-2}\)\). Since \(\(\cos(-1)\)\) is positive and the other terms are also positive, the value of \(\(f(-1)\)\) is positive.

Now, for \(\(x = 0\)\), we have \(\(f(0) = 5\cos(0) - \sqrt{0^2 + 1} + 2^{-1}\)\). Since \(\(\cos(0)\)\) is positive and the other terms are positive, the value of \(\(f(0)\)\) is positive.

As the function is continuous, and it changes sign from positive to negative within the interval  \(\([-1, 0]\)\) (as \(\(f(-1)\)\) and \(\(f(0)\)\) have different signs), by the Intermediate Value Theorem, there exists at least one root of the function within this interval. Therefore, we can conclude that the root of \(\(f(x)\)\) lies within the interval  \(\([-1, 0]\)\).

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the possible values of x/|x| + y/|y| + z/|z| + xyz/|xyz| are 4, 0, and -4.

To find all possible values of the expression x/|x| + y/|y| + z/|z| + xyz/|xyz|, we need to consider the signs of x, y, and z. Since x, y, and z are nonzero real numbers, they can be either positive or negative.

Case 1: x, y, and z are all positive:

In this case, |x| = x, |y| = y, and |z| = z. So, the expression becomes:

x/|x| + y/|y| + z/|z| + xyz/|xyz| = x/x + y/y + z/z + xyz/xyz = 1 + 1 + 1 + 1 = 4

Case 2: Two of x, y, and z are positive and one is negative:

Without loss of generality, assume x and y are positive, and z is negative. In this case, |x| = x, |y| = y, and |z| = -z. So, the expression becomes:

x/|x| + y/|y| + z/|z| + xyz/|xyz| = x/x + y/y + z/(-z) + xyz/(-xyz) = 1 + 1 - 1 - 1 = 0

Case 3: Two of x, y, and z are negative and one is positive:

Without loss of generality, assume x and y are negative, and z is positive. In this case, |x| = -x, |y| = -y, and |z| = z. So, the expression becomes:

x/|x| + y/|y| + z/|z| + xyz/|xyz| = x/(-x) + y/(-y) + z/z + xyz/xyz = -1 - 1 + 1 + 1 = 0

Case 4: x, y, and z are all negative:

In this case, |x| = -x, |y| = -y, and |z| = -z. So, the expression becomes:

x/|x| + y/|y| + z/|z| + xyz/|xyz| = x/(-x) + y/(-y) + z/(-z) + xyz/(-xyz) = -1 - 1 - 1 - 1 = -4

Therefore, the possible values of x/|x| + y/|y| + z/|z| + xyz/|xyz| are 4, 0, and -4.

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ANSWERS

• tan(θ) > 1:, θ ,∈, {(π/4,, ,π/2) ∪ (5π/4, 3π/2)}

• tan(θ) < -1: ,θ ,∈, {(π/2, 3π/4) ∪ (3π/2, 7π/4)}

EXPLANATION

tan(θ) is a periodic function, that repeats its values between -π/2 and π/2.

When θ is close π/4, tan(θ) goes to infinity. The same happens for 5π/4, π/2 and 3π/2

Let's see the graph:

For θ between π/4 and π/2, the value of the tangent is more than 1. This is also true for θ between 5π/4 and 3π/2.

Then, when θ is between π/2 and 3π/4, and when it's between 3π/2 and 7π/4, tan(θ) is less htan -1.

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

I think of (C.85) can't be constructed

Step-by-step explanation:

hope this helps you :)

Answer:

C) 85

Step-by-step explanation:

Hope this helps

Answer:

15 in

Step-by-step explanation:

You have to use pythagoras' theorem, which is a^2=b^2+c^2 (a being the hypotenuse), because it is a right-angled triangle.

so you do 9^2+12^2, which equals 225. Then you square root that to get 15.

Answer:

\(\boxed { x > -1}\)

Step-by-step explanation:

Solve the following inequality:

\(8x - 9 > - 17\)

-Add \(9\) to both sides:

\(8x - 9 + 9 > -17 + 9\)

\(8x > -8\)

-Divide both sides by \(8\):

\(\frac{8x}{8} > \frac{-8}{8}\)

\(\boxed { x > -1}\)

-The number line (graphed):