Given the word ACCOMPLISHMENT, what is the ratio of consonants to vowels? Give your answer in simplest form.

Answer:

8 4/5

Step-by-step explanation:

Answer:

this is the answer i hope it helps you 3 33/40

Accordingly, x0 = 0, x1 = 3, x2 = 0, and x3 = 3 are the first three iterations of f ( x) = -2x + 3 when x0 = 0.

A loop is described as a section of code that runs repeatedly. The procedure in which a code fragment is run just once is referred to as iteration. One iteration is the single time a loop is run. A loop may run through numerous iterations.

x1 = f(x0) = f(0) = -2 * 0 + 3 = 3

x2 = f(x1) = f(3) = -2 * 3 + 3 = 0

x3 = f(x2) = f(0) = -2 * 0 + 3 = 3

So the first 3 iterates of the function f(x) = -2x + 3 when x0 = 0 are:

x0 = 0, x1 = 3, x2 = 0, x3 = 3

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Answer:

x = 3  &&  y = - 1

Step-by-step explanation:

Just solving the two equations

the first equation

y = 4/3 x +3

y  - 4/3 x = 3  ..............................................(1)

the second equation

y = -2/3x -3

y + 2/3 x = -3  ..............................................(2)

by substracting 2 from 1

-4/3x - 2/3x = -6

divide by -1

4/3x +2/3x = 6

6/3x = 6

2x = 6

x= 3

then subsititute by value x in any of given eqautions  

Answer:

0.56

Step-by-step explanation:

RATIONALE

To make things a little easier, let's first note the denominator  

We can now note that  

Finally, subbing all in we find  

Answer:

0.56

Step-by-step explanation:

For some reason, the value of "w" is not supplemented into the equation, which is weird, but whatever. I will answer the problem for you.

The answer you are looking for is -5.

Solution/Explanation:

Writing out the expression first

-7/3x+y²

Substituting the given values of the variables, only "x" and "y"

-7/3(6)+(-3)²

Simplifying

(-7/3)(6)=-14

(-3)²=9

So, we will come up with -14+9.

This simplifies to -5.

So, therefore, the final answer to this problem is -5.

Hope this helped answer your question for you. Good day to you.

9514 1404 393

Answer:

  -5

Step-by-step explanation:

Put the values of the variables where the variables are and do the arithmetic.

  \(-\dfrac{7}{3}x +y^2=-\dfrac{7}{3}\times6+(-3)^2=-\dfrac{7\cdot6}{3}+9\\\\=-14+9=\boxed{-5}\)

Answer:

A triangle that has no equal sides is a scalene triangle.

The rectangular pool area is 4w = 27

The total width is 6.75 feet

The total length is 8.75 feet

From the question, we have the following parameters that can be used in our computation:

The rectangular pool area is added as an attachment

Represent the width with w

So, we have

Length = 2 + w

Using the area of the pad, we have

4w = 27

Divide by 2

w = 6.75

In (b), we have

Length = 2 + w

This means that

Length = 2 + 6.75

Evaluate

Length = 8.75

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Explanation

We are given the data below:

We are required to determine the value of r² using the table above.

This is achieved thus:

- Using a graphing calculator, we have:

- From the graph above, we have:

Hence, the answer is:

Option A is correct.

Answer:

Yes

Step-by-step explanation:

If F(x)= log base 5 of x, then yes, it is increasing.

Answer: True

Step-by-step explanation: Got it correct on a-p-e-x

Answer:

Not rigid motion

Step-by-step explanation:

The mapping rule is x,y --> x+3, 2y

It's not a translation , rotation, reflection, nor glide reflection.

Distance is not preserved

Answer:

3/8

Step-by-step explanation:

hope it helps :)

Answer:

The top left picture and top right picture

Step-by-step explanation:

Answer:

See proof below

Step-by-step explanation:

Important points

Onto

For a function with a given co-domain to be "onto," every element of the co-domain must be an element of the range.

However, the co-domain here is suggested to be \(\mathbb R\), whereas the range of f is not \(\mathbb R\) (proof below).

Proof (contradiction)

Suppose that f is onto \(\mathbb R\).

Consider the output 7 (a specific element of \(\mathbb R\)).

Since f is onto \(\mathbb R\), there must exist some input from the domain \(\mathbb R\), "p", such that f(p) = 7.

Substitute and solve to find values for "p".

\(f(x)=-3x^2+4\\f(p)=-3(p)^2+4\\7=-3p^2+4\\3=-3p^2\\-1=p^2\)

Next, apply the square root property:

\(\pm \sqrt{-1} =\sqrt{p^2}\)

By definition, \(\sqrt{-1} =i\), so

\(i=p \text{ or } -i =p\)

By the Fundamental Theorem of Algebra, any polynomial of degree n with complex coefficients, has exactly n complex roots.  Since the degree of f is 2, there are exactly 2 roots, and we've found them both, so we've found all of them.

However, neither \(i\)  nor \(-i\) are in \(\mathbb R\), so there are zero values of p in \(\mathbb R\) for which f(p)= 7, which is a contradiction.

Therefore, the contradiction supposition must be false, proving that f is not onto \(\mathbb R\)

By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.

In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:

(t, h) = (0 s, 5 ft)

Second, the final height of the ball is equal to:

h = 5 ft

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Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

it does

Step-by-step explanation:

i did this assignment yesterday

What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Answer:

The chance that the usual language in that household will NOT be English = 0.4

Step-by-step explanation:

As given ,

Total households in which languages spoken is English = 180

Total households in which languages spoken is Spanish = 80

Total households in which languages spoken is other than English or Spanish  = 40

So,

Total households = 180 + 80 + 40 = 300

Now,

Household in which English language is not spoken = 80 + 40 = 120

So,

The chances that the usual language in that household will NOT be English = \(\frac{120}{300} = \frac{12}{30} = \frac{4}{10} = 0.4\)

∴ we get

The chance that the usual language in that household will NOT be English = 0.4

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Answer:

y = 7x + 12

Step-by-step explanation:

Slope (m) = 7

Line is passing through the point (0, 12)

y-intercept (b) = 12

Equation of line in slope-intercept form is given as:

\(y = mx + b \\ \\ y = 7x + 12\)

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

c less than or equal to -2

Answer:

32

(this is just an approximation due to the left triangle)

Answer:

Step-by-step explanation:

There are 420 students.

41% are first year students.

41% = 41/100

420 * 41/100 = 172.4

What do you do about the 0.4? I would just round to the nearest whole number which is 172.

There are 420 - 172 = 248 who are not first year students.

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

The man gave an amount of 270,000 to his wife.

Given, a man gave 1/3 of his money to his wife and 1/2 of the remainder to his child.

He kept the remaining amount of 270,000.

Now, we have to find the amount he gave to his wife,

Let initially he had the amount, x

According to question,

x/3 + (1/2)×(x - x/3) + 270000 = x

x/3 + x/3 + 270000 = x

2x/3 + 270000 = x

270000 = x - 2x/3

270000 = x/3

x = 810,000

So, the amount he gave to his wife, be

1/3 × 810,000

= 270,000

Hence, the man gave an amount of 270,000 to his wife.

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Answer:

\(f(x) = -4(x+7)(x+1)\)

Step-by-step explanation:

Quadratic equation:

A quadratic equation, with roots(x-intercepts) at \(x_1\) and \(x_2\), and leading coefficient a, is given by:

\(f(x) = a(x - x_1)(x - x_2)\)

Has x-intercepts of -7 and -1

So \(x_1 = -7, x_2 = -1\). Thus

\(f(x) = a(x - (-7))(x - (-1)) = a(x+7)(x+1)\)

Passes through the point (-4,36).

This means that when \(x = -4, y = 36\), and we use this to find the leading coefficient.

\(36 = a(-4+7)(-4+1)\)

\(a(3)(-3) = 36\)

\(-9a = 36\)

\(a = -\frac{36}{9}\)

\(a = -4\)

So

\(f(x) = -4(x+7)(x+1)\)

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; \(\frac{64}{100}\) = 0.64

Null hypothesis:    \({H_0}:p = 0.64\)  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: \({H_a}:p \ne 0.64H\)

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion \(\hat p = \frac{52}{100}\)

\(\hat p = 0.52\)

The z - value is calculated by the formula:

\(z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}\)

\(z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}\)

\(z = \dfrac{-0.12}{0.048 }}\)

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value\({z__{0.05}}\)  is obtained as:

\(P\left( {\left| Z \right| \le z} \right) = 0.05\)

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :\(P(Z \leq -1.96)=0.05\)

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

Following are the solution to the given points:

For point a:

Calculation of the hypotheses:

Null hypothesis \(\ H_0:p=0.64 \\\\\)

Alternative hypothesis \(\ H_a : p \neq 0.64\)

For point b:

 Checking the value:  

\(\to np_0=100 \cdot 0.64=64>5\\\\\to n(1-p_0)=100\cdot(1-0.64)=100 \cdot 0.36= 36 > 5\)

Test statistic:

\(\to Z= \frac{0.52-0.64}{\sqrt{\frac{0.64 \times 0.36}{100} }}=-2.50\)

Since there are two-sided for the test. so, \(z=-2.50\) is negative.

Calculation of the P-value:  \(\to p=2P(z \leq -2.50)=2 \cdot 0.00621=0.01242<\alpha =0.05\)

For point C:

In this choice, the Null hypothesis value should be rejected.

For point D:

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