this literally confused me so much please help-

Answer:

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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The period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

The function is given as:

y = 2∕3 cos(4∕7x) + 2.

The above function is a cosine function

A cosine function is represented as:

y = A cos(B(x + C)) + D

Where the period is

Period = 2π/B

By comparing the equations, we have

B = 4/7

Substitute B = 4/7 in Period = 2π/B

Period = 2π/(4/7)

Express as product

Period = 2π * 7/4

Divide 4 by 2

Period = π * 7/2

Evaluate the product

Period = 7/2π

Hence, the period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

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Answer:

3:5

Step-by-step explanation:

Let's create a ratio

Mushroom : Cheese

15 : 25

⬆The ratio above can be simplified

Divide both sides by 5

3 : 5

The answer is 3:5

Hope this helps :)

Have a nice day!

Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × \(\frac{7}{100}\)

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

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After paying installments, It will take approximately 6.58 months (or about 7 months) for the loan balance to equal $400.

what exactly are installments?

Installments refer to a series of regular payments made towards the purchase of a product or service over a specified period of time. These payments are typically equal in amount and made at regular intervals, such as monthly or quarterly. Installments are commonly used for large purchases, such as cars, houses, and appliances, where paying the full amount upfront may not be feasible for the buyer. The buyer and seller agree upon the terms of the installment payments, including the   interest rate and the total number of payments required to fully pay off the purchase.

Now,

Let's first find out how much you need to pay in the first month to calculate the remaining balance.

24% of the remaining balance can be represented as (24/100)x. If you started with a balance of $800, the remaining balance after the first payment would be:

800 - (24/100) x 800 = 800 - 192 = $608

In the second month, you would pay 24% of the remaining balance of $608:

(24/100) x 608 = $146.11

So, the remaining balance after the second payment would be:

608 - 146.11 = $461.89

We can keep repeating this process until the remaining balance equals $400. Let's set up an equation to solve for the number of months:

800(1-(24/100))ⁿ = 400

Simplifying this equation, we get:

(1-(24/100))ⁿ = 0.5

Taking the natural logarithm of both sides, we get:

n * ln(0.76) = ln(0.5)

Dividing both sides by ln(0.76), we get:

n = ln(0.5) / ln(0.76) = 6.58 (rounded to two decimal places)

Therefore, it will take approximately 6.58 months (or about 7 months) for the loan balance to equal $400.

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Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

Answer:

Mean of Connors 3 card is 9

Step-by-step explanation:

Solution

Minimum of 3cards is 6

range is 7

max -min=7

max=min+7

max=7+6

max=13

Mean=6+13+8/3=27/3=9

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer: agree

Step-by-step explanation: just multiply 5 and 28 to get 140 or do the opposite and do 28 times 5 to get 140 and agree by showing your work and using the reasoning above

Answer:

6

Step-by-step explanation:

o o o o

3+2+1 = 6

The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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42 of students studied

56% of 75 = 42

Answer: 42 students studied out of 75.

Step-by-step explanation:

Since the total number of of students is 75, the equation that would be formed would be: x/75=56/100.

Or (75/100)*56

=> 0.75*56

=>42

Given:

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

Answer:

190

Step-by-step explanation:

Answer:

If you looking for what two variables your looking for the make both of them congruent it would be e and g and then k and f im not sure if thays the answear your looking for hope this helps.

Answer:

H. 3\(\frac{3}{4}\)feet

Step-by-step explanation:

Length of scale drawing = \(\frac{3}{12}\) × 15feet

                                        = 3\(\frac{3}{4}\)feet

Answer:

A.

Step-by-step explanation:

The required number line is attached below which represents the solution to the inequality w  > - 4.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

We have to determine the solution to given inequality

⇒ 3.3w - 9 > -22.2

Add 9 both sides of the inequality

⇒ 3.3w  > -22.2 + 9

3.3w  > -13.20

Divided by 3.3 both sides of the inequality and we get

⇒ w  > - 4

Therefore, the required number line is attached below which represents the solution to the inequality w  > - 4.

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Answer:

The second graph.

Step-by-step explanation:

When a system of linear inequalities is graphed, the solutions are shown in the area where both graphs of the linear inequalities are shaded. In this case, we need to look for the area where red and blue both are shaded in common. Since the question is asking which system includes the point (3,-2), we can look for the one that has the point (3,-2) in the commonly shaded area. In graph 1, the point is not in the area, but in graph 2, it lies in the darker shaded area, which represents the solutions of the system.

Therefore, the answer is graph 2.

Answer:

B

Step-by-step explanation:

jus took the test on edge

Answer:

1034

Step-by-step explanation:

Answer:

The trigonometric function that models the ocean tide for a period of 12 hours is f(x) = 6 sin (2πx/12).

a) The fraction of the stickers that Kate gave to her 6 friends was 1/2.

b) The fraction of Kate's stickers that each friend received from the 1/2 of stickers was 1/12.

The fraction is the portion or part of a whole.

Fractions can be proper, improper, and complex fractions, depending on the relative value of the numerator and the denominator.

The total number of stickers that Kate possesses = 1/1

The fraction Kate kept for herself = 2/5

The remaining portion of Kate's stickers = 3/5 (1 - 2/5)

The fraction Kate gave to her 6 friends to share equally = 5/6 of 3/5 = 1/2

The fraction of Kate's stickers that each friend received = 1/2 ÷ 6 = 1/12

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Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Answer:

There is an A LOT of possibilities, as explained below:

Step-by-step explanation:

All you need is 3 numbers that add up to 15:

1, 1, 13

1, 2, 12

1, 3, 11

The list goes on

If you are looking for equal numbers, it would be:

5, 5, 5